Simplify the following expression.

Answer:

2nd

Step-by-step explanation:

The growth factor of the function is 15

The standard exponential equation is expressed as y = ab^x

The value of b determines whether an exponential function is a growth or a decay.  

If the value of b is greater than 1, we have growth otherwise it is decay.

Given the exponential function [tex]f(x) = \frac{1}{5}(15)^x[/tex]

Compared with the general equation, b = 15. Hence the growth factor of the function is 15

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Answer:

anwser is d on edge

Step-by-step explanation:

Answer:

2.5m

Step-by-step explanation:

Answer:

P  = 32

x  = 35

Step-by-step explanation:

For the first diagram,

 The two angles given are corresponding angles. Corresponding angles are equal;

 So;

    the first angle is a right angle triangle;

  90 =  3P - 6

       3P  = 90 + 6

        3P  = 96

          P  = 32

For the second diagram;

The sum of those two angles is 180°

      (x + 75) + 2x = 180

      x + 2x + 75  = 180

          3x + 75  = 180

          3x  = 180 - 75

         3x  = 105

          x  = 35

Answer:

1) 25 °

Step-by-step explanation:

Two angles are complementary when the measure of the angles between sum up to 90°;

   Given;

  Angle 1  = a

  Angle 2  = b

        a  = 15 + 2b

 Angle a + Angle b  = 90°  

         15 + 2b + b  = 90

          15 + 3b  = 90

                 3b  = 90 - 15

                 3b  = 75

                    b  = 25°

Answer:

D

Step-by-step explanation:

The value of the vector (4a + 2b – 9c) as per scaler multiplication of vector method is 8i + 55j.

A vector is a physical quantity that has both magnitude and direction.

A vector that has magnitude of 1 is called unit vector.

Given, a = 8i + 2j, b = –3i + j, and c = 2i – 5j.

In order to find the value of the vector (4a + 2b – 9c) in terms of i and j, we need to perform scaler multiplication of vector.

Here, i and j are unit vectors.

Therefore: (4a + 2b – 9c)

= 4(8i + 2j) + 2(–3i + j) - 9(2i – 5j)

= (32i + 8j - 6i + 2j - 18i + 45j)

= (8i + 55j)

Therefore, Option(D) is correct answer.

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Answer:

#3

Step-by-step explanation:

yes they are equivalent

Step-by-step explanation: try dividing 198 and 1287 and the same to 2 and 13 you should get the same for both.

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4.

1pound =3.5

Answer: 3.5

Step-by-step explanation: it is 3.5 dollars because if you divide 14 by four it shows that one pound cost 3.5 dollars

Answer:

Slope: -1/4; Y-Intercept: 1.5

Step-by-step explanation:

Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.

Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 (note: the y-intercept can also be found when x=0, for example (0,9).

Hope this helped, good luck!

Answer:

2/3

Step-by-step explanation:

Answer:

he walked 15 feet in total

Step-by-step explanation:

I'm not sure if u asked a question or not

Answer:

Minimum value is 18

It occurs at P(6,0)

Step-by-step explanation:

The given objective function is  

The vertices of the feasible region are .

We plug in the vertices in to feasible region and evaluate to obtain,

 P(0,7) = 3(0) + 5(7)

P(0,7) = 0+35

P(0,7) = 35

P(3,7) = 3(3) + 5(7)

P(3,7) = 9+35

P(3,7) = 44

P(6,3) = 3(6) + 5(3)

P(6,3) = 15+15

P(6,3) = 33

P(6,0) = 3(6) + 5(0)

P(6,0) = 18+0

P(6,0) = 18

Answer:  14

Step-by-step explanation:

It seems Line AC bisects that angle so we know that 7x=-3x+20 so to figure out x we solve this equation to get 10x=20 and x=2 from there we input the x into BAC to get m<BAC=14

Answer:

She can walk 5 miles in 2 1/2 hours.

Step-by-step explanation:

1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add  1/2 + 1/2 to get 5 miles in 2 1/2 hours.

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I hope this helped you!

Answer:

She can walk 5 miles in 2 1/2 hours.1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add  1/2 + 1/2 to get 5 miles in 2 1/2 hours.

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Step-by-step explanation:

Answer:

The drama club is charging $22 for a regular gift basket, and $34 for a deluxe gift basket

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Cats are the best!

Step-by-step explanation:

1. CATS!

2. CATS!

3. CATS!

Answer:

y=-2x+5

Step-by-step explanation:

hope i helped

Answer:

Y=2x+5

Step-by-step explanation:

Move the variable (x) to the right

2y= 10-4x

divide both sides of the equation by 2

y=5-2x

and then reorder the terms

y=-2x+5

:)

Answer:

Step-by-step explanation:

0.20m+50-m=3

0.20m-m=-47

-0.80m=-47

m=58.75

Answer: for Plato: A. (-20,2) and (48,2)

Step-by-step explanation:

The foci of the given hyperbola are represented by the equation (x-14)²/16²-(y-2)²/30² will be ( 48, 2) and ( -20, 2).

A hyperbola is a significant conic section in mathematics that is created by the intersection of a double cone with a plane surface, though not always at the center it's not necessary.

A hyperbola is homogeneous along its perpendicular axis and resembles the elliptical in many ways.

A hyperbola is susceptible to concepts like foci, directrix, rectus, and eccentricity. Hyperbola that is commonly seen includes the path taken and the scattering trajectory of particles.

Given that the hyperbola

(x-14)²/16²-(y-2)²/30² so a = 16 and b = 30.

Since c = √(a²+b²)

c = √(1156 = 34.

So the first foci will be ( h +c, k) and ( h -c,k).

So first foci will be ( 48, 2) and the second will be ( -20, 2).

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Answer:

Step-by-step explanation:

The area of the floor A = Length * Width

Given

A = 200 square meters

If the length of the floor is 32 m longed than it’s width then;

L = 32+W

A = LW

200 = (32+W)W

200 = 32W + W²

W²+32W-200 = 0

W = -32±√32²+800/2

W = -32±42.71/2

W =  -32+42.71/2

W = 10.71/2

W = 5.35 m

L = 32+5.35

L = 37.35m

Hence the dimension is  5.35ft by 37.35m

Answer:

i have no clue XD

Step-by-step explanation:

Answer:

D. The slope is -2. The y-intercept is (0, 1).

Step-by-step explanation:

It is in slope- intercept form: y=mx+b

M is the slope

B is the y-intercept

Answer:

Use the slope-intercept form to find the slope and y-intercept.

Slope: −2

y-intercept: (0,1)

Answer:

Anither way you can write it is (x-5)

Step-by-step explanation:

Answer:

L=33in

W=15in

Step-by-step explanation:

Step one:

given

let the width be x

W=x inches

L= 2x+3 inches

perimeter= 96inches

Step two:

Required

the dimensions of the rectangle

The perimeter is

P=2L+2W

96=2(2x+3)+2(x)

open bracket

96=4x+6+2x

collect like terms

96-6=6x

90=6x

divide both sides by 6

x=90/6

x=15 in

The width is 15 in

The length

L=2x+3

L=2(15)+3

L=30+3

L=33in

Answer:

2 (w) + 2(2w + 3) = 96

Step-by-step explanation:

Answer:

7^3 x r^3

Step-by-step explanation:

Answer:

-53; 780

Step-by-step explanation:

3. plug in your values

5^3 - 6 (5^2) - 8 (5) + 12 = -53

12^3 - 6 (12^2) - 8 (12) + 12 = 780