Over a period of one year, a retailer sells widgets at 11
different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated.

Answers

Answer 1

The regression equation is: y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):

b1 = (NΣXY - ΣXΣY) / [tex](N\sum X^2 - (\sum X)^2)[/tex]

bo = (ΣY - b1ΣX) / N

Where:

N = Number of data points (in this case, 11)

ΣX = Sum of all X values (prices)

ΣY = Sum of all Y values (average number of pounds sold per day)

ΣXY = Sum of the product of X and Y values

[tex]\sum X^2[/tex] = Sum of the squares of X values

Using the provided data:

Ex = 210

Xy = 450

Zcy = 10387

Zz = 7275

Xy = 42471

Let's calculate the required values:

N = 11

ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872

ΣY = Xy = 450

ΣXY = Xy = 450

[tex]\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144[/tex]

Now, substitute these values into the formulas to find b1 and bo:

[tex]b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)[/tex]

= -14112250 / 2050445128

≈ -0.0068824

bo = (450 - (-0.0068824 [tex]\times[/tex] 17872)) / 11

= (450 + 122.7790368) / 11

≈ 36.8881

Therefore, the regression equation is:

y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

For similar question on regression equation.

https://brainly.com/question/25987747

#SPJ8

The complete question may be like:

Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.


Related Questions

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The value of x in the given right triangle HJK include the following: C. 10.

What is a 30-60-90 triangle?

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Hypotenuse, x = 5 × 2

Hypotenuse, x = 10.

Read more on 30-60-90 triangle here: brainly.com/question/30283450

#SPJ1

A. How many combinations of the 5 white balls and 1 red ball are possible?

Answers

The number of combinations of the 5 white balls and 1 red ball are possible is 1.

We are given that;

White balls=5

Red ball=1

Now,

To find the number of combinations of 5 white balls and 1 red ball, we can use the combinations formula12:

[tex]nCr = n! / (r! (n-r)!)[/tex]

where n is the total number of objects, r is the number of objects to be selected, and ! is the factorial operator.

we can plug in these values into the formula:

[tex]6C6 = 6! / (6! (6-6)!) 6C6 = 6! / (6! 0!) 6C6 = 1 / (1 1) 6C6 = 1[/tex]

So, there is only one combination of 5 white balls and 1 red ball. This makes sense because the order of selection does not matter in a combination. No matter how we arrange the balls, we will always have the same group of 5 white balls and 1 red ball.

Therefore, by combinations and permutations the answer will be 1.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ1

how much time will it take to get to New Orleans by boat from Houston, Texas

Answers

Tom's estimated travel time is approximately 13.6 hours.

Based on the given scenario, Tom is traveling a distance of approximately 340 nautical miles from Houston to New Orleans by boat. He will be using a medium-sized recreational boat with an average speed of 25 miles per hour.

To estimate the time it will take for his journey, we can use the formula:

Time = Distance / Speed

Substituting the values, we have:

Time = 340 miles / 25 miles per hour

Calculating the division, we find that Tom's estimated travel time is approximately 13.6 hours.

However, it is important to note that this estimate assumes a continuous journey without considering other factors that may affect the travel time. Various elements can impact the actual duration, such as weather conditions, water currents, navigational challenges, refueling stops, and any necessary rest breaks.

Additionally, it is essential for Tom to adhere to all boating regulations and safety guidelines to ensure a smooth and secure voyage.

To obtain a more accurate estimate, Tom should consult local boating authorities, marinas, or experienced sailors familiar with the route.

They can provide valuable insights into the specific conditions and offer guidance on potential challenges that may affect the travel time. Planning for additional buffer time is also recommended to account for unforeseen circumstances and to prioritize safety during the journey.

For similar question on  travel time.

https://brainly.com/question/26421961  

#SPJ8

The complete question may be like:

Tom plans to travel by boat from Houston, Texas, to New Orleans, Louisiana. He wants to estimate the time it will take for his journey. The distance between the two cities by water is approximately 340 nautical miles. Tom will be traveling on a medium-sized recreational boat that has an average speed of 25 miles per hour. Considering normal weather conditions and assuming a continuous journey, how long will it take Tom to reach New Orleans?

Please provide an answer based on this scenario, taking into account the distance, average speed, and any other relevant factors.

(-20,13) (16,15)
Can some find the slop for this question

Answers

To find the slope of a line passing through two points, you can use the slope formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Given the points (-20, 13) and (16, 15), we can assign the coordinates as follows:

x1 = -20, y1 = 13
x2 = 16, y2 = 15

Now, we can substitute these values into the slope formula:

Slope (m) = (15 - 13) / (16 - (-20))
= 2 / 36
= 1 / 18

Therefore, the slope of the line passing through the points (-20, 13) and (16, 15) is 1/18.

Suppose that the volume, V,
of a right circular cylinder is
1280 cubic centimeters and
the radius of its base is
8 centimeters. What is the
height of the cylinder?
D

Answers

Answer:

[tex]\huge\boxed{\sf h \approx 6.4\ cm}[/tex]

Step-by-step explanation:

Given data:

Volume = v = 1280 cm³

Radius = r = 8 cm

π = 3.14

Required:

Height = h = ?

Formula:

V = πr²h

Solution:

Put the given data in the above formula.

Finding height of cylinder.

1280 = (3.14)(8)²(h)

1280 = (3.14)(64)(h)

1280 = 200.96 (h)

Divide both sides by 200.96

1280 / 200.86 = h

h ≈ 6.4 cm

[tex]\rule[225]{225}{2}[/tex]

Steve is going shopping. This matrix shows his shopping list:
How much will Steve spend if he shops at S2?
Round to the nearest cent

Answers

$27.71 is the amount Steve spend if he shops at S2.

Given that Steve is going shopping

The shopping list of steve has 2 cereal, 4 soups , 2 soda, 1 milk and 4 candy.

We have to find the cost spend by Steve when he purchase in shop 2, S2.

In S2, the cereal cost 2.15, soup cost 2.75, soda cost is 3.00, Milk cost 3.25 and candy costs 0.79.
Total cost = 2×2.15 + 4×2.75+2×3+1×3.25+4×0.79

=4.3+11+6+3.25+3.16

=27.71

Hence, $27.71 is the amount Steve spend if he shops at S2.

To learn more on Total cost click:

https://brainly.com/question/14927680

#SPJ1

the region in the first quadrant enclosed by the curves y=0, x=2, x=5 and y=1/sqrt(1+x) is rotated about the x-axis. The volume of the solid generated is A. πIn(2) B. πIn(3/4) C. πIn(10) D. πIn(5) E. πIn(4/3)

Answers

The volume of the solid generated by rotating the region enclosed by the curves y=0, x=2, x=5, and [tex]y=1/\sqrt(1+x)[/tex] about the x-axis is πln(2),

(option A).

To find the volume of the solid generated by rotating the region enclosed by the curves y=0, x=2, x=5, and[tex]y=1/\sqrt(1+x)[/tex] about the x-axis, we need to use the formula for the volume of a solid of revolution.

The formula is ∫[a,b] [tex]π(f(x))^2dx[/tex], where a and b are the limits of integration and f(x) is the function that describes the distance between the axis of revolution and the curve being rotated.

In this case, we need to use the function f(x) = 1/sqrt(1+x), since this function describes the distance between the x-axis and the curve being rotated. The limits of integration are from x=2 to x=5, since these are the values of x that define the region being rotated.

Using the formula, we can set up the integral as follows:

[tex]∫[2,5] π(1/\sqrt(1+x))^2dx[/tex]

= π∫[2,5] 1/(1+x) dx

= π[ln(1+x)]|[2,5]

= π[ln(6) - ln(3)]

= πln(2) (option-A)

For such more questions on volume

https://brainly.com/question/463363

#SPJ8

Assumptions: Tax depreciation is straight-line over three years. Pre-tax salvage value is 25 in Year 3 and 50 if the asset is scrapped in Year 2. Tax on salvage value is 40% of the difference between salvage value and book value of the investment. The cost of capital is 20%.

Answers

Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.

To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:

Assumptions:

Tax depreciation is straight-line over five years.

Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.

Tax on salvage value is 30% of the difference between salvage value and book value of the investment.

The cost of capital is 12%.

Given:

Initial investment cost = $50,000

Useful life of the equipment = 5 years

To calculate the depreciation expense each year, we divide the initial investment by the useful life:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $50,000 / 5 = $10,000

Now, let's calculate the book value at the end of each year:

Year 1:

Book value = Initial investment - Depreciation expense per year

Book value [tex]= $50,000 - $10,000 = $40,000[/tex]

Year 2:

Book value = Initial investment - (2 [tex]\times[/tex] Depreciation expense per year)

Book value [tex]= $50,000 - (2 \times$10,000) = $30,000[/tex]

Year 3:

Book value = Initial investment - (3 [tex]\times[/tex] Depreciation expense per year)

Book value = $50,000 - (3 [tex]\times[/tex] $10,000) = $20,000

Year 4:

Book value = Initial investment - (4 [tex]\times[/tex] Depreciation expense per year)

Book value [tex]= $50,000 - (4 \times $10,000) = $10,000[/tex]

Year 5:

Book value = Initial investment - (5 [tex]\times[/tex] Depreciation expense per year)

Book value [tex]= $50,000 - (5 \times $10,000) = $0[/tex]

Based on the assumptions, the salvage value is $10,000 in Year 5.

If the asset is scrapped in Year 4, the salvage value is $15,000.

To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:

Tax on salvage value = Tax rate [tex]\times[/tex] (Salvage value - Book value)

For Year 5:

Tax on salvage value[tex]= 0.30 \times ($10,000 - $0) = $3,000[/tex]

For Year 4 (if scrapped):

Tax on salvage value[tex]= 0.30 \times ($15,000 - $10,000) = $1,500[/tex]

Now, let's calculate the after-tax cash flows for each year:

Year 1:

After-tax cash flow = Depreciation expense per year - Tax on salvage value

After-tax cash flow = $10,000 - $0 = $10,000

Year 2:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 3:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 4 (if scrapped):

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $15,000 - $1,500 = $13,500

Year 5:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $10,000 - $3,000 = $7,000

Now, let's calculate the net present value (NPV) using the cost of capital of 12%.

We will discount each year's after-tax cash flow to its present value using the formula:

[tex]PV = CF / (1 + r)^t[/tex]

Where:

PV = Present value

CF = Cash flow

r = Discount rate (cost of capital)

t = Time period (year)

NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment

Let's calculate the NPV:

PV Year 1 [tex]= $10,000 / (1 + 0.12)^1 = $8,928.57[/tex]

PV Year 2 [tex]= $0 / (1 + 0.12)^2 = $0[/tex]

PV Year 3 [tex]= $0 / (1 + 0.12)^3 = $0[/tex]

PV Year 4 [tex]= $13,500 / (1 + 0.12)^4 = $9,551.28[/tex]

PV Year 5 [tex]= $7,000 / (1 + 0.12)^5 = $4,474.39[/tex]

NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000

NPV = $22,954.24 - $50,000

NPV = -$27,045.76

The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.

Therefore, the investment may not be favorable.

Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.

For similar questions on assumptions.

https://brainly.com/question/15424356  

#SPJ8

The complete question may be like :

Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.

You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.

Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.



El valor de la asintota vertical

Answers

The vertical asymptote of the function are x = ±1/2

Given that we need to determine what is value of the vertical asymptote of the function =

(2x + 1) / (4x²-1)

To find the vertical asymptote of the function f(x) = (2x + 1) / (4x² - 1), we need to determine the values of x for which the denominator becomes zero.

This is because division by zero is undefined, and the function may have vertical asymptotes at those points.

The denominator of the function is 4x² - 1.

To find the values of x that make the denominator zero, we can set it equal to zero and solve for x:

4x² - 1 = 0

Adding 1 to both sides:

4x² = 1

Dividing both sides by 4:

x² = 1/4

Taking the square root of both sides:

x = ±√(1/4)

Simplifying further, we get:

x = ±1/2

Therefore, the values of x that make the denominator zero are x = -1/2 and x = 1/2. These are the vertical asymptotes of the function.

Learn more about vertical asymptotes click;

https://brainly.com/question/29260395

#SPJ1

Translation =

What is value of the vertical asymptote of the function =

(2x + 1) / (4x²-1)

Help with this question pls?

Answers

The new coordinates of the triangle after reflecting in the x-axis are:

(3, -1), (3, -3), and (-2, -3).

We have,

The triangle has the coordinates:

(3, 1), (3, 3), and (-2, 3)

Now,

To reflect a point or a shape in the x-axis, we simply change the sign of the y-coordinate while keeping the x-coordinate the same.

Let's reflect each of the three given points in the x-axis:

Point (3, 1):

The reflected point in the x-axis will have the same x-coordinate of 3 but with the y-coordinate sign flipped:

Reflected point: (3, -1)

Point (3, 3):

The reflected point in the x-axis will have the same x-coordinate of 3 but with the y-coordinate sign flipped:

Reflected point: (3, -3)

Point (-2, 3):

The reflected point in the x-axis will have the same x-coordinate of -2 but with the y-coordinate sign flipped:

Reflected point: (-2, -3)

Therefore,

The new coordinates of the triangle after reflecting in the x-axis are:

(3, -1), (3, -3), and (-2, -3).

Learn more about reflections here:

https://brainly.com/question/12463306

#SPJ1

What is the value of x in the systems:
5x + 2y = 3
2x + 3y = -1

Answers

Answer: The value of x = 1  and y = -1

Step-by Step Explanation:

We have 5x + 2y = 3 -----(i)

and 2x + 3y = -1 -----(ii)

By substitution method,

from (i), x = 3-2y/5

Putting the value of x in equation (ii),

we get, 2(3-2y/5) + 3y = -1

6 - 4y/5 + 3y =-1

6 - 4y + 15y = -5

6 - 11y = -5

-11y = -5 - 6

-11y = -11

y = -1

And, x = 3-2(-1)/5

x = 3+2/5

x = 1

Therefore,  x=1 and y=−1

Read more about solving these type of equations,

https://brainly.com/question/50000312

in the histogram above I'm which interval does most of the data lie​

Answers

Answer: The Mode

Step-by-step explanation:

The mode is the data value that occurs the most often in a data set

Find the maximum for the profit function,
P = 2x+10y
subject to the following constraints.
4x + 2y ≤ 5
-3x+y 2-2
X>0
(y ≥0
4x + 2y ≤ 5
-3x + y 2 -2
Round your answer to the nearest cent (hundredth).

Answers

Answer:

The maximum value of the profit function occurs at the corner point with the highest value, which is P2 = 25.

Therefore, the maximum profit is $25.

Step-by-step explanation:

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Angle C of the triangle measures 68°.

Side AC = 22.90

Side BC = 14.26

Given triangle,

∠A = 37°

∠B = 75°

AB = 22

Now,

Sum of all the interior angles of triangle is 180.

So,

∠A + ∠B +∠C = 180°

37° + 75° + ∠C = 180°

∠C = 68°

Now,

According to sine rule,

Ratio of side length to the sine of the opposite angle is equal.

Thus,

a/SinA = b/SinB = c/SinC

Let,

BC = a

AC = b

AB = c

So,

a/Sin37 = b/Sin75 = c/Sin68

a/0.601 = b/0.965 = 22/0.927

Solving,

BC = a = 14.26

AC = b = 22.90

Thus with the properties of triangle side length and angles can be calculated.

Know more about Triangle,

https://brainly.com/question/30739401

#SPJ1

Find the missing angle and side measures of Delta*ABC , given that

m angle A = 50 deg , m angle C = 90 deg , and CB = 16

Answers

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

Learn more about sine law here:

https://brainly.com/question/13098194

#SPJ1

i need the whole problem done plus the steps to it please, im stressed and its due soon

Answers

Total Surface Area of the Triangular prism = 30 ft².

Here, we have,

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

here, we have,

Base of the triangle =2 ft

Height of the Triangle =3 ft

Area of one Triangular Face is:

A = 1/2 * 2 * 3 = 3 ft²

The dimensions of the lateral rectangles are:

2 ft by 3 ft

3 ft by height 3 ft

3 ft by height 3 ft

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

= 2 *3 + ( 2*3 + 3*3 + 3*3)

= 6 + 24

= 30 ft²

Total Surface Area of the Triangular prism = 30 ft².

To learn more on total surface area click:

brainly.com/question/27226519

#SPJ1

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

area of A = πr² = π7² = 153.9 m²

area of B = πr² = π9² = 254.5 m²

Factor each expressions using the greatest common factor.
1:3x + 6
2:4x-8
4:2x-4
7:9x + 18
5: 6x + 12
8: 8x - 16
3: 5x + 10
6:7x-14

Answers

To factor each expression using the greatest common factor, we need to find the largest factor that each term has in common and then factor it out.

1. 3x + 6 = 3(x + 2)

2. 4x - 8 = 4(x - 2)

3. 5x + 10 = 5(x + 2)

4. 2x - 4 = 2(x - 2)

5. 6x + 12 = 6(x + 2)

6. 7x - 14 = 7(x - 2)

7. 9x + 18 = 9(x + 2)

8. 8x - 16 = 8(x - 2)

Therefore, the factored expressions are:

1. 3(x + 2)
2. 4(x - 2)
3. 5(x + 2)
4. 2(x - 2)
5. 6(x + 2)
6. 7(x - 2)
7. 9(x + 2)
8. 8(x - 2)

9. Determine the area of the figure below.
5.5 cm
8 cm
12 cm
6.8 cm

Answers

Area of the given figure would be :

" Sum of area of Trapezoid and Semicircle "

Lets calculate the area of Trapezoid first ~

its " 1/2 times (sum of parallel sides) times (perpendicular distance between them) "

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times ( 8+ 12) \times (5.5)[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times (20) \times (5.5)[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 10 \times 5.5[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 55 \: \: cm {}^{2} [/tex]

Next, area of Semicircle ~

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{ \pi {r}^{2} }{2} [/tex]

[tex] \textsf{[ diameter (d) = 8 cm, radius (r) = d/2 = 8/2 = 4 cm ]} [/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{3.14 \times ( {4)}^{2} }{2}[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 1.57 \times 16[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 25.12 \: \: cm {}^{2} [/tex]

Now, Area of the composite figure :

- Area of Trapezoid + Area of Semicircle

[tex]\qquad\displaystyle \tt \dashrightarrow \: 55 + 25.12 = 80.12 \: cm²[/tex]

Which polynomial function could be represented by the graph below?

Answers

First, substitute one of the x intercepts and whichever one gives an answer of 0 is a possible answer. If you substitute x=2 in all of them, you will have A and C as 0. Now substitute any point you want and see if it matches with the y value of the graph. Here we can use x=1 as that is the easiest. Substituting x=1 in A and C, we get -4 for A and 8 for C. The graph shows that at x=1, y =8 so the answer is C.

1. What are two significant advantages of a 401(k) over an IRA?

Answers

Here are two significant advantages of a 401(k) over an IRA:

Higher Contribution LimitsEmployer Contributions and Matching

The two significant advantages of a 401(k) over an IRA

Higher Contribution Limits: 401(k) plans allow for higher annual contributions compared to IRAs. The contribution limit for a 401(k) is $19,500 (or $26,000 for individuals aged 50 and older), while the limit for an IRA is $6,000 (or $7,000 for individuals aged 50 and older).

Employer Contributions and Matching: 401(k) plans often offer employer contributions and matching programs. Employers may contribute to an employee's 401(k) account, adding to their retirement savings without any direct cost to the employee.

Read more on IRA here:https://brainly.com/question/1637877

#SPJ1

The sum of two numbers is 28. The first number is 7 more than twice the second number. Let a represent the first number. Let b represent the second number. What is the second number? Use the table to guess and check. Two Numbers a b a + b = 28 Check a = 2 b + 7

Answers

Answer:

Let’s solve this problem step by step. Since a + b = 28 and a = 2b + 7, we can substitute the value of a in the first equation to get 2b + 7 + b = 28. Solving for b, we get 3b + 7 = 28, which means 3b = 21 and b = 7. So, the second number is 7.

Which of the following represents the equation of the trigonometry function graphed below?

Answers

The equation of the trigonometric function graphed is A) f(x) = 3 sin (x) - 2.

Given a graph of the trigonometric function.

We have to find the equation of the trigonometric function.

For x = π/2, y = 1

Also, when x = 3π/2, y = -5

A) If the function is,

f(x) = 3 sin (x) - 2,

When x = π/2

f(x) = 3 sin (π/2) - 2

     = 3(1) - 2

     = 1

When x = 5π/2

f(x) = 3 sin (5π/2) - 2

     = 3 (-1) - 2

     = -5

Hence the correct option is A.

Learn more about trigonometric function here :

https://brainly.com/question/25618616

#SPJ1

Some friends start jumping rope during recess at 12:22.They jump rope for 24 minutes.Show and write the they stop jumping rope.Circle A.M or P.M.

Answers

Answer:

They would stop jumping rope at 12:46

Step-by-step explanation:

I'd probably say P.M considering the fact that I don't think kids would be having recess at midnight

Jckson plans to make an open box with the dimensions shown as a prop for the school play. the dimensions are 5 3.75 and 2.5

Answers

Based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.

To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.

If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.

Therefore, based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

for such more question on dimensions

https://brainly.com/question/13847072

#SPJ8

These shapes are similar.
Find X.
X
9
5
27
15
21

Answers

Answer:

15

Step-by-step explanation:

A circular hot spring has a diameter of 110 meters. Over time, the diameter
of the spring decreases by 3 meters. By how many square meters does the
area of the hot spring decrease? PLEASEE IM BEGGING ANSWER ;(

Answers

Answer:

Step-by-step explanation:

Hello!

We want to know the area of the original circle - the now circle.

The original circle's diameter is 110 meters.

To figure out the area you use this formula: [tex]r^2*pi[/tex]

The diameter is 107 meters, so the equation is [tex]55^2[/tex][tex]*\pi[/tex].

The area is about 9503.3 meters.

The next area is the "now circle".

The now circle's diameter is 107 meters.

When you use this formula, you end up with  [tex]53.5^2*\pi[/tex].

The area is about 8892 meters.

So it's just basic subtraction!

I'll let you figure out the rest.

:)

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer: $1.50 for every 1 pound

Step-by-step explanation:

If 2 pounds equal to $3.00 divide $3.00 by 2 and you end up with $1.50, you can also keep adding $1.50 to get the other prices.

Simplify cot^2x / cscx-1

Answers

By algebra properties, the simplified form of the trigonometric equation cot² x / (csc x - 1) is  csc x + 1.

How to simplify a trigonometric equation

In this problem we find the case of a trigonometric equation, whose simplified form must be found. The simplification can be done both by algebra properties and trigonometric formulas. Now we proceed to determine the simplificated form:

cot² x / (csc x - 1)

(csc² x - 1) / (csc x - 1)

[(csc x + 1) · (csc x - 1)] / (csc x - 1)

csc x + 1

To learn more on trigonometric equations: https://brainly.com/question/22624805

#SPJ1

Which three lengths could be the lengths of the sides of a triangle?

Answers

Any three lengths that satisfy the triangle inequality theorem can form the sides of a triangle. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In order for three lengths to form a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's consider three lengths: a, b, and c.

To determine if they can form a triangle, we need to check the following conditions:

a + b > c

a + c > b

b + c > a

If all three conditions are true, then the lengths a, b, and c can form a triangle.

For example, let's consider the lengths 3, 4, and 5.

3 + 4 > 5 (True)

3 + 5 > 4 (True)

4 + 5 > 3 (True)

Since all three conditions are true, the lengths 3, 4, and 5 can form a triangle.

Therefore, any three lengths that satisfy the triangle inequality theorem can be the lengths of the sides of a triangle.

For more such question on triangle inequality theorem

https://brainly.com/question/1163433

#SPJ8

Other Questions
2. Heute ist der ... Sprecht wie im Beispiel. ... . Find the solution of the initial value problem y(t) 2ay' (t) + a(t) = g(t), y(to) = 0, y'(to) = 0. Calculate the vapor pressure of a sucrose solution at 25C with a mole fraction of sucrose of 0.0677 if the vapor pressure of water at 25C = 23.76 torr.Pvap = XsolventPvap,pure a 50.0 ml sample of 0.155 m hno2(aq) is titrated with 0.100 m naoh(aq). what is the ph of a solution after the addition of 25.0 ml of naoh? [ ka of hno2 = 4.5 104 ] Use Laplace transforms to solve the differential equations: given y(0) = 4 and y'0) = 8 = In a hospital setting a certain standard of care is expected of health care practitioners. Which of the following best describes this concept?a) Bare minimum care as neededb) A legal responsibility for patientsc) An expected level of performanced) An obligation to patients Show that lim (0) = 1, where (1) is the principal value of the nth root of i. 100 WILL GIVE BRAINLISTRead the excerpt from Names/Nombres by Julia Alvarez. What is the central idea of this passage?When we arrived in New York City, our names changed almost immediately. At Immigration, the officer asked my father, Mister Elbures, if he had anything to declare. My father shook his head no, and we were waved through. I was too afraid we wouldnt be let in if I corrected the mans pronunciation, but I said our name to myself, opening my mouth wide for the organ blast of a. trilling my tongue for the drumroll of the r, All-vabrrr-es! How could anyone get Elbures out of that orchestra of sound? A. The family was afraid of the immigration officer. B. The author wants people to pronounce her name correctly. C. New York City is the main place where people enter the United States. D. The author enjoys correcting people who mispronounce words. Find the equation of the line through (0, 2, 1) that perpendicular to both u =(4, 3, -5) and the z-axis. 5. Find an equation of the plane through P(-2, 3, 5) and orthogonal to n=(-1, 2, 4). 6. Find an equation of the plane passing through the points (-1, 1, 1), (0, 0, 2), and (3, -1, -2). When a number is raised to a power, is the result always larger than the original number? Support your answer with some examples. in a city with declining jobs and prosperity, which of the following will likely occur?group of answer choicesdemand for housing will decreaseprice of housing will decreasequantity of housing will decreaseall of the above If you borrow $9000 at an annual percentage rate (APR) of r (as a decimal) from a bank, and if you wish to pay off the loan in 3 years, then your monthly payment M (in dollars) can be calculated using: M = 9000 (er/12-1) / 1 - e-3r1) Describe what M (0.035) would represent in terms of the loan, APR, and time.2) If you are only able to afford a max monthly payment of $300, describe how you could use the above formula to figure out the highest interest rate the bank could offer you and you would still be able to afford the monthly payments. In addition, determine the maximum interest rate that you could afford. dilution is a process where solvent is added to a solution in order to change the concentration while keeping the amount of solute constant. which equation below describes this scenario?c1v1=c2v2c2v1=c1v2c1c2=v1v2none of the above The general motor ability hypothesis proposes that individuals have:a) One motor ability that determines a person's potential to perform motor skillsb) One motor ability that predicts how well a person will perform specific skillsc) Many specific motor abilities that are highly related to each otherd) Many specific motor abilities that are independent of each other 1. Determine if the sequence if convergent. Explain yourconclusion. 2. Determine if the sequence if convergent. Explain yourconclusion. Compare and contrast paper-based versus electronic medical records. What are the key differences and similarities? Include information about how HIPAA impacts each type of medical record and how electronic patient records can be kept safe. select the three primary mechanisms by which antiviral medications work Learning Log: Based on Ptolemys writing, what modern-day countries were known to the Romans during this time period? How accurate was Ptolemys knowledge of this area?(Help please its due today) Occurs when a company representative interacts directly with a customer or prospective customer to communicate about a good or service. a) Advertising b) Sales promotion c) Personal selling d) Public relations In Hospital STV, senior administration is strongly oriented toward fiscal and social conservatism. The nursing department is deeply concerned with the provision of quality to the community, which includes a high number of poor and unemployed. To accomplish the goals of the nursing department, resources need to be allocated that administration is not able to allocate. Nursing and administration:a. Are engaged in shared governance.b. Are involved in an irreconcilable conflict of interests.c. Represent separate subcultures in the institution.d. Represent union and nonunion conflict. Steam Workshop Downloader