Use the graph of g(x) to answer the following question. The graph of g(x) is a translation of f(x)=x^2 Write the equation for g(x) in vertex form.​

The value of sin 75 without using a calculator is 1/4(√2 +√6)

From the question, we have the following parameters that can be used in our computation:

sin(75)

This can be expanded as

sin(75) = sin(45 + 30)

Using the sine rule, we have

sin(75) = sin(45)sin(30) + cos(45)cos(30)

Evaluate the trigonometry ratios

So, we have

sin(75) = √2/2 * 1/2 + √2/2 * √3/2

So, we have

sin(75) = √2/4 + √6/4

Evaluate the sum

sin(75) = 1/4(√2 +√6)

Hence, the value is sin(75) = 1/4(√2 +√6)

Read mroe about trigonometry function at

https://brainly.com/question/24349828

#SPJ1

As pumpkins cost $0.60 per pound Diego will pay $7.68 for his pumpkin.

To find out how much Diego will pay for his pumpkin, we need to multiply the weight of the pumpkin by the cost per pound:

Cost = weight × cost per pound

In this case, the weight is 12.8 pounds and the cost per pound is $0.60:

Cost = 12.8 pounds × $0.60/pound

Simplifying the expression, we get:

Cost = $7.68

Therefore, Diego will pay $7.68 for his pumpkin.

For more details regarding cost, visit:

https://brainly.com/question/30045916

#SPJ1

Based on the equation, we own 100 shares of JP Morgan Emerging Markets Bond Fund and 900 shares of Fidelity Conservative Income bond fund.

The portfolio is worth $10,000 in total:

$100x + $10y = $10,000

We can now use elimination to find x:

$1100x + $110y = $110,000 -($100x + $10y = $10,000)

$1000x = $100,000 x = 100

As a result, we own 100 shares of JP Morgan Emerging Markets Bond Fund. To solve for y, we can plug this number back into the original equation:

$100x + $10y = $10,000

$100(100) + $10y = $10,000

$10y = $9,000 y = 900

As a result, we have 900 shares of Fidelity Conservative Income bond fund

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

Area of parallelogram:

8 × 5 = 40 square centimeters

Perimeter of parallelogram:

2(8 + 6) = 2 × 14 = 28 centimeters

The electricity cost for the Val's AC to run for a summer month of 30 days is $84.

Given that,

Val's whole-house central air conditioner uses 4,000 watts when running.

Val runs the AC 7 hours per summer day.

Electricity costs (10 cents)/(1 kilowatt-hour).

Total electricity used for the whole house = 4000 watts = 4 kilowatts

Number of hours that the AC runs = 7 hours

Cost of electricity = (10 cents)/(1 kilowatt-hour).

Cost of electricity for 4 kilowatts for 1 hour = 10 × 4 = 40 cents

Cost of electricity for 4 kilowatts for 7 hours = 40 × 7 = 280 cents

                                                                                       = $2.80

Cost of electricity for a summer month of 30 days = $2.80 × 30

                                                                                   = $84

Hence the total cost for the electricity is $84.

Learn more about Electricity Cost here :

https://brainly.com/question/28800300

#SPJ1

Answer:  3/8.

Step-by-step explanation: f 4 + 12 = 16,   12 / 2 = 6, 6 / 16 = 3 / 8

There is only one way for the doctor to visit all seven patients exactly once.

A combination is a way of selecting items from a larger set, where the order of the items is not important. In this problem, we need to select seven patients out of a larger set of seven patients, so we can use the formula for the number of combinations of n items taken r at a time:

C(n,r) = n! / (r!(n-r)!)

where n is the total number of items, r is the number of items to be selected, and the exclamation mark represents the factorial function.

In this case, we need to find the number of combinations of 7 patients taken 7 at a time, which can be written as:

C(7,7) = 7! / (7!(7-7)!) = 7! / (7!0!) = 1

The order in which she visits the patients does not matter since each patient is visited only once.

To know more about combination method here

https://brainly.com/question/28998705

#SPJ1

As per the given percentage, the value of the loan 10 years after it starts is £4506.32.

We know the values of P and A for the first two years. So, we can use these values to find the value of r. Let's use the formula for the first year:

2645 = 2500(1 + r/1)¹ˣ¹

Simplifying the equation, we get:

1 + r = 2645/2500

1 + r = 1.058

r = 0.058 or 5.8%

Therefore, the interest rate per annum is 5.8% (to 1 decimal place).

Now, let's move on to finding the value of the loan after 10 years. We can use the same formula for compound interest, but we need to substitute the values of P, r, n, and t accordingly. Here's the formula:

A = P(1 + r/n)ⁿˣ

Where:

P = 2500

r = 0.058

n = 1 (as the interest is compounded annually)

x = 10

Substituting these values, we get:

A = 2500(1 + 0.058/1)¹ˣ¹⁰

A = 2500(1.058)¹⁰

A = 4506.32

To know more about percentage here

https://brainly.com/question/13729841

#SPJ1

Answer: okay ill help

Step-by-step explanation:

Answer: The density of the billiard ball is 6.67 g/cm^3.

Step-by-step explanation:

The volume of the large solid is equal to 8/25 cm³.

In Mathematics, the volume of a cube can be calculated by using the following formula:

V = m³

Where:

By substituting the given points into the formula for the volume of a cube, we have the following;

Volume of cube, V = m³

Volume of cube, V = (1/5)³

Volume of cube, V = 1/125 cm³.

For the volume of the large solid, we have:

Volume of large solid = 5 × 2 × 4 × 1/125

Volume of large solid = 8/25 cm³.

Read more on volume of a cube here: brainly.com/question/25248189

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

3.2mm

Step-by-step explanation:

Answer:

3.2mm

Step-by-step explanation:

Answer:

cm^3 can be used to represent volume.

The area of the polygon to the nearest tenth is 80.7 in²

A polygon any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. Examples of polygon include ; triangle, quadrilateral, pentagon e.t.c

The area of a polygon is expressed as;

A = 1/2nsa

where n is the number of side

a is the apothem

s is the side length

Side length = apothem × 2tan(180/n)

n = 12

s = 5 × 2tan(180/12)

s = 5 × 2tan15

s = 2.679

Area = 1/2 × 12 × 5 ×2.679

= 80.7 in²(nearest tenth)

learn more about area of polygon from

https://brainly.com/question/20110859

#SPJ1

Answer:

13

Step-by-step explanation:

210+50 is the total number of miles that can be driven. This adds up to 260. 260 divided by 20 is miles per gallon, which equals 13.

Answer:

2.75

Step-by-step explanation:

To find the mean absolute deviation for a set of data, we first need to find the mean (average) of the data set. Then, for each data point, we find the absolute value of the difference between the data point and the mean. Finally, we take the mean of those absolute differences.

Step 1: Find the mean

Mean = (6+7+10+12+13+4+8+12)/8 = 72/8 = 9

Step 2: Find the absolute differences

|6-9| = 3

|7-9| = 2

|10-9| = 1

|12-9| = 3

|13-9| = 4

|4-9| = 5

|8-9| = 1

|12-9| = 3

Step 3: Find the mean of the absolute differences

Mean absolute deviation = (3+2+1+3+4+5+1+3)/8

Mean absolute deviation = 22/8

Mean absolute deviation = 2.75

Therefore, the mean absolute deviation for the given data set is 2.75.

The radius of the circle is 36 centimetres.

The circumference of the circle is  75.36 centimetres.

Let's find the radius of the circle with 20 degrees arc and length of 4π centimetres.

Length of an arc = ∅ / 360 × 2πr

where

Therefore,

Length of an arc  = 20 / 360 × 2 × π × r

4π = 40πr / 360

4π = 1 / 9 πr

cross multiply

πr = 36π

divide both sides by π

r = 36 centimetres

radius = 36 centimetres

b.

The equilateral triangle is inscribed in the circle. Therefore, the circumference of the circle can be found as follows:

The radius of the circle can be found using trigonometric ratios as follows:

The radius is an angle bisector. Hence,

sin 30 = opposite / hypotenuse

0.5 = 6 / r

cross multiply

r = 6 / 0.5

r = 12 centimetres

Lets' find the circumference,

circumference of the circle = 2πr

circumference of the circle = 2 × π × 12

circumference of the circle = 24 × 3.14

circumference of the circle = 75.36 cm

learn more on circle here: https://brainly.com/question/11137975

#SPJ1

Answer:

the answer for part A is. 5

the absolute deviation is. 1

Step-by-step explanation:

to find the answer for part A add all numbers and divide it by 8

For part B

4-5= |-1|= 1

3-5= |-2|= 2

4-5= |-1| =1

5-5= |0| =0

6-5= |1 | =1

6-5= |1 | =1

8-5= |3| =3

5-5= |0| =0

Then add all the number and divided them by 8

MAY I GET BRAINLIEST

The explicit rule for the sequence -4/3, 1, -4/5, -2/3, -4/7 is -4(2 + n)

From the question, we have the following parameters that can be used in our computation:

-4/3, 1, -4/5, -2/3, -4/7

In the above sequence, we can see that 1 is added to the denomiator of the previous term to get the new term

Take for instance

2nd = -4/(3 + 1) = -1

3rd = -4/(3 + 2) = -4/5

4th = -4/(3 + 3) = -4/6 = -2/3

4th = -4/(3 + 7) = -4/7

Hence, the explicit rule is -4(2 + n)

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

The new area of the figure after the dilation with a scale factor of 4 will be 400 units²

We have,

When a figure is dilated by a scale factor of k, its area is multiplied by k².

So,

If the original area of the figure = 25 units²

Dilated by a scale factor = 4

The new area.

= (4²)(25 units²)

= 16(25 units²)

= 400 units²

Therefore,

The new area of the figure after the dilation with a scale factor of 4 will be 400 units².

Learn more about dilations here:

https://brainly.com/question/13176891

#SPJ1

Answer:

Step-by-step explanation:

To determine the minimum area of the piece of fabric Jonna needs, we need to calculate the diameter of the circle after adding 2 inches to the radius.

The radius of the pillow is half its diameter, which is 15/2 = 7.5 inches.

When Jonna adds 2 inches to the radius, the new radius becomes 7.5 + 2 = 9.5 inches.

The diameter of the circle with the new radius is 2 x 9.5 = 19 inches.

Therefore, Jonna needs to cut a circular piece of fabric with a diameter of 19 inches.

To calculate the minimum area of the fabric, we need to use the formula for the area of a circle:

Area = π x (radius)^2

The radius is 9.5 inches, so:

Area = π x (9.5)^2

Area = π x 90.25

Area ≈ 283.77 square inches

Therefore, Jonna needs a piece of fabric with a minimum area of approximately 283.77 square inches.

Adolescents who loved jazz and were drawn to American, British culture in general, as well as conformity and discipline in the army, made up the swing youths in Nazi Germany.

Germany saw significant turmoil in politics in the late 1930s as a result of Hitler's ascension to power and the real-world consequences of his virulent anti-Semitism.

He described how in the Nazi era, there were groups of young people in Vienna who would get together in private, dancing to American bounce music, and express opposition to the brutal Nazi reality through their behavior and attire.

Learn more about Nazi Party, here:

https://brainly.com/question/24040193

#SPJ1

The question is incomplete, Complete question probably will be:

What does the song Swing Heil reveal about the goals of the Nazi Party?

Answer:

b

Step-by-step explanation:

The factor form of the given expression is [tex]x^2 - 14 - 4x = (x - 4)(x - 14).[/tex]

To factor the expression x^2 - 14 - 4x, we can use the technique of grouping.

First, we can rearrange the terms as:

x^2 - 4x - 14

Next, we can factor out a common factor of x from the first two terms:

x(x - 4) - 14

Then, we can factor out a negative 1 from the last two terms:

x(x - 4) - 1(14)

Finally, we can write the expression as the product of two binomials:

(x - 4)(x - 14)

Therefore, the factored form of x^2 - 14 - 4x is (x - 4)(x - 14).

For more details regarding factorization, visit:

https://brainly.com/question/14549998

#SPJ1