The line perpendicular to y=-3x+4 that passes through the point (-3,-7)

⇒I will use the trig ratios to find the value x.

[tex]\frac{sin(x)}{11cm}=\frac{sin( 38)}{8} \\[/tex]

⇒Moving on solving I will use the cross multiplication

[tex]8sin(x)=11sin(38)\\sin(x)=\frac{11sin(38)}{8} \\x=sin^{-1} (\frac{11sin(38)}{8} )\\x=57,8[/tex]

∴ x=57,8°

Goodluck!!

If Avery is in the business of manufacturing phones. The equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day is: 100p + 300.

Given data:

Labor and materials cost = $100

Numbers of phones = 3

Total cost = $600

Where,

P = Total cost

The equation for C in terms of p is:

100p + 300

Now let determine the total cost

Total cost = $600 + ( 3 × $100)

Total cost = $600 $300

Total cost =$600

Therefore 100p + 300 is the equation.

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1st question (the image):

y= -5/4x + 3/2

how to solve:

y=mx+b

b: where the line meets the y axis

3/2 is 1.5 which matches up perfectly with the graph

m: the direction of the slope

If you look where the line matches with a point and you go down -5 and go right 4 it matches up and thats why m = -5/4

2nd question (the text):

C) y = 3/4 x + 1/4

how to solve

draw a graph (up above)

y:mx+b

to find m: rise/run

find the first point (1,1) you have to go 3 points up and 4 points right to get to the next point

(5,4) and thats why m=3/4

b: where the link hits the y axis compare the answers and the graph and find the most resonable one... which is 1/4

[tex] = 3 \times 3 \times {10}^{7} \times 10^{8} \\ = 9 \times {10}^{7 + 8} \\ = 9 \times {10}^{15} \\ [/tex]

NOTE YOU CAN WRITE IT IN FULL BUT I CHOSE NOT TO BECAUSE IT'S LARGE .

GOODLUCK

Given the graph of the parabola

AS shown in the figure

The coordinate of the vertex is the point (2.5, 2.25)

so, the answer will be:

the vertex of the function shown below is located at (2.5, 2.25)

Given:

given expression is

Find:

The main objective is to evaluate the expression.

Explanation:

we will use BoDMAS formula for evaluating the expression.

Conclusion:

Therefore, correct option is C.16

The length and the width of the rectangle are 14 and 15 meters, respectively

From the question, the statement is given as

Length and width are consecutive integers

Where

Area = 210 square feet

Represent the dimensions with x and y

Where Length = x and Width = y

And also, we have

y = x + 1

The area of a rectangle is

Area = Length x width

Mathematically, this can be represented as

Area = x * y

So, we have

x * y = 210

Substitute y = x + 1 in x * y = 210

x * (x + 1) = 210

Express 210 as 14 * 15

x * (x + 1) = 14 * 15

This means that

x = 14

Substitute x = 14 in y = x + 1

y = 14 + 1

Evaluate

y = 15

So, we have

x = 14 and y = 15

Hence, the length and the width are 14 and 15 meters

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Answer:

From the question,

The formula for the growth rate will be calculated using the formula below

In,

Given that

Hence,

P1 = 12.6

Also, we will have P2 to be

Hence,

P2 = 17.6

Therefore,

The formula for Pn will be represented below as

The explicit formula for Pn will be

To figure out the values of P9. we will substitute the value of n=9 in the equation below

Hence,

P9 = 185.9

The percent equation is = 2600/ 4000 × 100/1

The percentage of books that are fiction is 65%

Percentage can be described as the ratio, quotient or number that is being expressed as a fraction of 100.

It is also described as the given part or amount in every hundred.

It is expressed as a fraction with 100 as the denominator of the fraction

It is represented with the symbol "%".

Given the information ;

Total number = 4000 books

Fiction books = 2600

The percentage is represented as;

= 2600/ 4000 × 100/1

Find the ratio

= 0. 65 × 100/1

Multiply through

= 65%

Hence,  the value is 65%

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As per the given three coordinate of the triangle, the area of the triangle is 9.5 square units.

Area of triangle:

In the triangle ABC as with vertices or coordinates are A(x1, y1), B(x2, y2), and C(x3, y3), has the area,

Area(ΔABC) = (1/2){x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)}

As the area is always positive.

Given,

Here we have the triangle VWX,

And their coordinates are V (-9,-7), W(-4,-5), and X(-6,-2).

Now we have to find the area of the triangle.

To find the area of the triangle, let us consider the coordinates (x1,y1) as v(-9,-7), (x2,y2) as W(-4,-5) and (x3,y3) as X(-6,-2).

Now, we have to apply the values on the formula, in order to get the area of the triangle,

=> A = 1/2 |(-9 [-5-(-2)] + (-4)[-2 - (-7)] + (-6)[-7 - (-5)]|

When we expand the terms, then we get,

=> A = 1/2 |(-9)[-3] + (-4)[5] + (-6)[-2]|

Further simplify the expression will gives you the following,

=> A = 1/2 |27 - 20 + 12|

=> A = 1/2 |19|

Therefore, the area of the triangle is 9.5 square units.

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Answer:

The 40 lb bag is cheaper by $4

Step-by-step explanation:

10 x 4 = 40

7 x 4 = 28

If you bought the 10 lb bag 4 times, you'd spend more money than just buying the 40 lb bag once.

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An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

In this question, we have been given the online furniture store can ship not more than 19 pieces of chairs and tables each day.

If the possible number of chairs they can ship each day is represented by c and the possible number of tables they can ship each day is represented by t, then the inequality equation can be written as

(c + t) ≤ 19

Therefore, an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

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The distance covered in the next 9 seconds is 405 meters

The variation statement is given as

d is directly proportional to the square of t

This means that

d = kt²

Where k represents the constant of variation

Using the parameters in the question, we have

When d = 125, t = 5

Substitute d = 125, t = 5 in d = kt²

This gives

125 = k x 5²

Evaluate

k = 5

So, we have

d = 5t²

After 9 seconds, we have

t = 9

Substitute t = 9 in d = 5t²

Here, we have

d = 5 x 9²

This gives

d = 405

Hence, the distance is 405 meters

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Answer:

simplest form.

Step-by-step explanation:

The value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

The formula for finding the combination of any given expression is given:

So,

Then,

Therefore, the value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

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Answer:

Below in bold.

Step-by-step explanation:

s(t) = -16t² - 12t + 300

v(t) = ds/ dt = -32t - 12

At time t:

velocity = -32(4) - 12 = -140 ft/s.

Answer:

f( -6) = 4

Step-by-step explanation:

f(x) = -x -2  You will replace x with -6

f(-6) - -(-6) -2

f(-6) = 6 - 2

f(-6) = 4

Answer:

p = 20

Step-by-step explanation:

7 + 3(p - 1) = 64 ( subtract 7 from both sides )

3(p - 1) = 57 ( divide both sides by 3 )

p - 1 = 19 ( add 1 to both sides )

p = 20

Answer:

Below in bold.

Step-by-step explanation:

P(x) = -0.3x² + 75x - 2000

Convert this to vertex form:

p(x) = -0.3(x^2 - 250)^2 - 2000

      = -0.3[(x - 125)^2 - 125^2] - 2000

      = -0.3[(x - 125)^2 - 15625] - 2000

      = -0.3(x - 125)^2 + 4687.5 - 2000

      = -0.3(x - 125)^2 + 2687.5

2687.5 is the maximum value of the profit.

1.  This corresponds to a selling price of $125 for the stands.

2.  Maximum profit is $2687.5.

3.  At the breaking points P(x) = 0:

-0.3(x - 125)^2 + 2687.5 = 0

(x - 125)^2 = 2687.5 / -0.3 = 8958.33

x - 125 = +/- sqrt( 8958.33)

x = 125 +/- sqrt( 8958.33)

x = 30.352, 219.648,

So, the breaking even points are $30.35 and $219.65 to nearest cent.

Part a

The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].

Part b

The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].

Part c

As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].

Part d

The y-intercept is when x=0, which is [tex](0, 1)[/tex].

Part e

The function is increasing when y increases as x increases, which is true for this function.

Answer:

I agree with your answer.

Step-by-step explanation:

Answer:

This is how I would approach it

Step-by-step explanation:

Answer: Cost per rides

Step-by-step explanation:

Answer:

12 months

Explanation:

Given the function that models the total chacrge of a company as T = 35.00 + 18.75m where;

T is the total charges,

m is the number of months of storage

Given

T = $260.00

we are to find the value of m

Substitute

260 = 35 + 18.75m

18.75m = 260 - 35

18.75m = 225

m = 225/18.75

m = 12

Hence it will take 12 months to cost a new custimer $260.00

La ganancia aproximada del estadio por concepto de la venta de boletos para un partido de fútbol es $ 502,968.

En esta pregunta se nos solicita determinar la ganancia aproximada por la venta de boletos para un partido de fútbol en un estadio. La ganancia aproximada es igual al producto del aforo del estadio y el costo de cada boleto. Entonces,

c = ($ 19) · (26,472)

c = $ 502,968

La ganancia aproximada por el partido de fútbol es $ 502,968.

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Answer: 734.7

Step-by-step explanation:

We get rid of 90 and 70 since they are the highest and lowest scores.

80+75+80+85+75 = 395

395 * 3.1 = 1224.5

1224.5*0.6 = 734.7

Answer:

Step-by-step explanation:

Solve each  inequality:

or

The answer is: m < 7 or m ≥ 8

Answer: 11 units^2

Step-by-step explanation: count the blocks

Anjelah finished at 1:02 P.M. if she started at 10:15 A.M. and she took 2 hours and 47 minutes to complete it.

According to the question,

We have the following information:

Anjelah finished in 2 hours and 47 minutes.

She started at 10:15 A.M.

Now, we know that there are 60 minutes in an hour (more to know: there are 60 seconds in a minute).

So, we will add 2 hours to 10:15 A.M.:

10:15 + 2:00

12:15 P.M.

(Note that the digits before the colon gives us time in hours and the digits after the colon gives us minutes.)

Now, we will add 47 minutes to it:

12:15 + 0:47

(Now, we know that only 45 minutes can be added to 15 minutes because then it will make an hour. So, 2 more minutes will be added to the next hour.)

So, we have the following expression:

1:02 P.M.

Hence, the time when Anjelah will finish is 1:02 P.M.

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