Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=57(0.4)^x

Answer:

20

Step-by-step explanation:

in perimeter you have to add all the sides but rectabgless all have the same size so 5 x 4 since rectangle has 4 sides equls 20 so 20 is the answer

Answer: For example, in order to explain why 1/3 + 1/4 = 7/12, we considered the task of dividing 7 apples between 12 boys under the restriction that an apple ... How many halves are in the whole? ... 1 = 3 × 1/3, 2 = 6 × 1/3, 3 = 9 × 1/3, 4 = 12 × 1/3.

Step-by-step explanation:

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★ Volume of cylinder :-

Here,

We have :

Substituting the values :

> V = π (2 × 2) × 7

> V = 4π × 7

> V = 28π

★ Volume of cone :-

We have :

Substituting the values :

> V = ⅓ × π × (2 × 2) × 6

> V = ⅓ × π × 4 × 6

> V = ⅓ × π × 24

> V = 8π

★ According to the question :-

Adding them together,

> Total Volume = 8π + 28π

> Total Volume = 36π

[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]

Answer:

Leon is 4 5/12

Step-by-step explanation:

4 3/4 - 1/3 change 4 4/12 - 4/12 = 4 5/12

Answer:

$2.60

Step-by-step explanation:

40 x 0.065 = $2.60

Answer:

the tax would be 2.60$

Step-by-step explanation:

6.5% of 40 is 2.6

(6.5 x .40=2.6)

Given:

A circle with radius 7 units and chord CD = 7 units.

To find:

The measure of arc CD.

Solution:

Let O be the center of the circle.

In triangle OCD,

[tex]OC=7[/tex]            (Given)

[tex]OC=OD=7[/tex]          (Radii of same circle)

[tex]CD=7[/tex]            (Given)

Since [tex]OC=CD=OD[/tex] all sides are equal, therefore, the triangle OCD is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60 degrees. So,

[tex]m\angle COD=60^\circ[/tex]

The measure of central angle is equal to the measure of corresponding arc.

[tex]m(arcCD)=m\angle COD[/tex]

[tex]m(arcCD)=60^\circ[/tex]

Therefore, the measure of arc CD is 60 degrees.

Answer:

3/15, 1/5, or 0.2 probability. Highly unlikely

Explanation:

12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.

~Hope this helps~

Answer:

Answer: 20pi is the circumference

Step-by-step explanation:

The circumference of the circle is 20π ft when the area of the circle is 100π ft².

A circle is a locus of the points drawn at an equidistant from a fixed point. The fixed point is called Centre of the circle and the distance from the fixed point to the circle is called radius.

Given, area of a circle is 100π.

Therefore,  πr² =100π, where r is the radius of the circle.

So, r²=100

Thus, r= 10 ft.

now, circumference = 2πr

                                  =2π×10

                                  =20π ft.

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Given:

The function is

[tex]f(x)=x^3-2[/tex]

The secant line passing through (-4,f(-4)) and (2,f(2)).

To find:

The equation of the secant line.

Solution:

We have,

[tex]f(x)=x^3-2[/tex]

At x=-4,

[tex]f(-4)=(-4)^3-2[/tex]

[tex]f(-4)=-64-2[/tex]

[tex]f(-4)=-66[/tex]

At x=2,

[tex]f(2)=(2)^3-2[/tex]

[tex]f(2)=8-2[/tex]

[tex]f(2)=6[/tex]

The secant line passes through the points (-4,-66) and (2,6). So, the equation of the secant line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-66)=\dfrac{6-(-66)}{2-(-4)}(x-(-4))[/tex]

[tex]y+66=\dfrac{6+66}{2+4}(x+4)[/tex]

[tex]y+66=\dfrac{72}{6}(x+4)[/tex]

On further simplification, we get

[tex]y+66=12(x+4)[/tex]

[tex]y+66=12x+48[/tex]

[tex]y=12x+48-66[/tex]

[tex]y=12x-18[/tex]

Therefor, the equation of the secant line is [tex]y=12x-18[/tex].

Answer:

Step-by-step explanation:

Just add it

Answer:

$134,061.09

Step-by-step explanation:

hope this helps

Answer:

134,061.09

Step-by-step explanation:

Divide 13,409,109 by 100

This can also be expressed as 134, 061 dollars, and 9 pennies.

60% of 500 is 300

So if Zack wanted to sell the car 60% of the markets price, it would be 300.

125% of 500 is 625

If Zack wanted to sell the car for 25 more than the price at market, it would be 125%, and 125% of 500 is 625.

Answer:

answers?

Step-by-step explanation:

Answer:

20 floors

Step-by-step explanation:

15 sec to go up 5 floors is climbing one floor every 3 seconds

3 sec x 20 = 60 seconds

1 fl x 20 = 20 floors

Answer: 1.4142

Step-by-step explanation:

Input Data :Point 1 (xA,yA) = (-5, 3) Point 2(xb,yB) = (-4, 2)

Objective : Find the distance between two given points on a line?

Formula :Distance between two points = √(xB-xA)^2+(yB−yA)^2

Solution :

Distance between two points =  √(−4−−5)2+(2−3)2= √12+(−1)2= √1+1= √2 = 1.4142

Distance between points (-5, 3) and (-4, 2) is 1.4142

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Answer:

a = 9, c = -4?

Step-by-step explanation:

i think these are the two equations, let me know if i'm wrong

2a + 3c = 5; a + 2c = 1

rearrange second equation : a = -2c +1

plug in:

2(-2c +1) +3c = 5

-4c +1 +3c = 5

-c +1 = 5

-c = 4

c = -4

a + 2(-4) = 1

a - 8 = 1

a = 9

Answer:

Step-by-step explanation:

Average of x-coordinates = (8+3)/2 = 5.5

Average of y-coordinates = (5+7)/2 = 6

Midpoint at (5.5,6)

Answer:The median number of hours is between 5 and 9

Step-by-step explanation:

The median number of hours students in the class read last week is between 5 and 9

The steps are as follow:

0-4;20

5-9;24  32th median

10-14;10

15-19;4

20-24;2

25-29;3    ∑ = 63 i.e. odd

M = 1/2 (63+1) = 32th observation

So the median number of hours students in the class read last week is between 5 and 9

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Answer:

22is answer

f (x) = 5x -3

f (5) =5×5-3=25-3=22

Answer:

5

Step-by-step explanation:

f(x)=5x−3

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n  is nax^n−1 .

5x^1−1

Subtract 1 from 1.

5x^0

For any term t except 0, t^0 =1.

5×1

For any term t, t×1=t and 1t=t.

5

Answer:

Step-by-step explanation:

Answer:

Width=75

length=105

Step-by-step explanation:

Width=x

length=30+x

= 7875=x*30+x

x^2+30x-7875=0

x^2+105x-75x-7875=0

x(x+105)-75(x+105)=0

Answer:

66882

Step-by-step explanation:

Answer:

product

Step-by-step explanation:

213×314=66,882

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

In order for TV to be parallel to QS, it must divide the sides of the triangle proportionally.

  RT/TQ = RV/VS

  (x+4)/(x-3) = (x+10)/(x)

  1 +7/(x-3) = 1 +10/x . . . . expand each fraction

  7/(x -3) = 10/x . . . . . . . . subtract 1

  7x = 10(x -3) . . . . . . . . . cross multiply

  30 = 3x . . . . . . . . . . . . add 30-7x, simplify

  10 = x . . . . . . . . . . . . . . divide by 3

The value of x that makes the segments parallel is 10.

_____

Alternate solution

You can cross multiply the first fraction we wrote to get ...

  x(x +4) = (x -3)(x +10)

  x^2 +4x = x^2 +7x -30 . . . eliminate parentheses

  30 = 3x . . . . . . subtract x^2+4x-30 from both sides

Answer: C. 10

Step-by-step explanation:

i got it right on the test

Answer:

[tex] x = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2} [/tex]

Answer:

E = 108

Step-by-step explanation:

E = 3 * [tex]6^{2}[/tex]

= 108

Answer:

e=mc^2 if m=3 and c=6

e=3([tex]6^2[/tex])

e=3[tex](36)[/tex]

e=108

Step-by-step explanation:

hope this helps have a good rest of your day/afternoon :) ❤

Answer:

Undefined

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The product:

[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]

[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]

[tex]A * B = 1 * \frac{1}{3}[/tex]

[tex]A * B = \frac{1}{3}[/tex]

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The quotient:

[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]

Express as product

[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]

[tex]A / B = \frac{1*3}{2*2}[/tex]

[tex]A / B = \frac{3}{4}[/tex]

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

[tex]x = \frac{1}{2}[/tex]

[tex]y = \frac{2}{3}[/tex]

The sum:

[tex]x + y = \frac{1}{2} + \frac{2}{3}[/tex]

Take LCM

[tex]x + y = \frac{3+4}{6}[/tex]

[tex]x + y = \frac{7}{6}[/tex]

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

Answer:

The gross pay for the week is $701.32

Step-by-step explanation:

J.B. earns $16.60 per hour, and half of it ($16.60/2) for each hour worked over the 8th-hour range.

On the first day, he works 8.25 hours.

We have 8 hours, plus 0.25 hours past the limit, then for the first day he wins:

8*$16.60 + 0.25*($16.60/2) = $134.86

On the second day, he works again 8.25 hours, so he wins the same amount $134.86

On the third day, he works 9.5 hours, then:

We have 8 hours plus 1.5 hours past the limit, then for this day he wins:

8*$16.60 + 1.5*$16.60/2 = $145.25

On the fourth day, he works 11.5 hours, then:

We have 8 hours plus 3.5 hours pást the limit, then for this day he wins:

8*$16.60 + 3.5*$16.60/2 = $161.85

For the last day, he works 7.25 hours, (in this case, we do not have hours worked over the 8-hour limit) then this day he wins:

7.25*$16.60 = $124.50

The gross pay for this week will be equal to:

G = $134.86 + $134.86 +  $145.25 + $161.85 + $124.50 = $701.32