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Round 0.864595 to the ten-thousandths place.

Answer:

Growth

Step-by-step explanation:

since the (1.05) is bigger than 1 it is growth but if it was lower then  1 it would be decay .

The exponential function represents the growth and the percentage rate of increase is 5%

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given exponential function y = 920(1.05)ˣ

since the base value of the function is greater than 1 then the function shows growth.

for the rate of increase,

let x = 0 for the initial value

y = 920(1.05)ˣ = 920(1.05)⁰            (a⁰ = 1)

y₀ = 920

now x =1

y = 920(1.05)ˣ  = 920(1.05)¹

y₁ = 966

percent increase = 100(y₁ - y₀)/y₀

percent increase = 100(966 - 920)/920

percent increase = 100 x 0.05 = 5%

Hence the growth of function at the rate of 5%.

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Answer: 12 x 8 = 96

Step-by-step explanation:

Thanks c:

Answer:

d< -8

Step-by-step explanation:

10 < 2 -d

Add d to both sides: 10 + d < 2 -d + d

Simplify: 10+d<2

Subtract 10 from both sides: 10 + d - 10 < 2 - 10

Simplify: d < -8

Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

Answer:

$750

Step-by-step explanation:

did the problem

Hi!

30 = x

f(x) = -1/5x - 14 find x when f (x) = -8

Set the equation equal to -8

-8 = -1/5x - 14

Add 14 to both sides.

6 = -1/5x

Multiply both sides by -5.

30 = x

Hope this helps! :D

Step-by-step explanation:

y = 2x + 9

y = -x - 3

there are multiple ways to solve this.

let's follow the approach that both x-expressions must be equal :

2x +9 = -x - 3

3x = -12

x = -4

y = -x - 3 = 4 - 3 = 1

Answer:

3.

2x^3+10x^2+14x+6

Step-by-step explanation:

according to figure,

v=w•l•h

(2x+2)(x+1)(x+3)

=(2x+2)x(x+1)+3(X+1)

=(2x+2)(x^2+4x+3)

=2x(x^2+4x+3)+2(x^2+4x+3)

=2x^3+10x^2+14x+6

The volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.

The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).

The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:

V = (2x +2)(x + 1)(x + 3)

V = (2x² + 2x +2x + 2)(x + 3)

V = (2x² + 4x + 2)(x + 3)

V = 2x³ + 6x² + 4x² + 12x + 2x + 6

V = 2x³ + 10x² + 14x + 6

Hence, the volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

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Answer:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

The given function representing the archway is y = -x² + 5·x + 24

1) Please find attached the required drawing of the archway created with MS Excel

2) The y-intercept is given by the point where x = 0

Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24

The y-intercept = (0, 24)

The x-intercept is given by the point where y = 0

Therefore, the x-values at the x-intercept are found using the following equation;

0 = -x² + 5·x + 24

x² - 5·x - 24 = 0

By inspection, we have;

x² - 8·x + 3·x - 24 = 0

x·(x - 8) + 3·(x - 8) = 0

∴ (x + 3) × (x - 8) = 0

Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8

Therefore, the x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base = The distance between the x-values at the two x-intercepts

∴ The width of the archway at its base = 8 - (-3) = 11

The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)

∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5

Therefore;

The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point

∴ The height of the archway at its highest point = 30.25

The vertex of the parabola is at (-2.5, 17.75). And the y-intercept of the parabola is at (0, 24).

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation of the parabola is given as,

y = x² + 5x + 24

Convert the equation into a vertex form, then we have

y = x² + 5x + 25/4 - 25/4 + 24

y = (x + 5/2)² + 71/4

y = (x + 2.5)² + 17.75

The vertex of the parabola is at (-2.5, 17.75). The y-intercept of the parabola is given as,

y = (0)² + 5(0) + 24

y = 24

The y-intercept of the parabola is at (0, 24).

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Answer:

is equal to 0

Step-by-step explanation:

points Lang habol

Answer:

x = 9

Step-by-step explanation:

3 ㏒₄x  = 2 ㏒₄27

㏒₄ x³ = ㏒₄ 27²

As ㏒₄ = ㏒₄

You can write this as,

x³ = 27²

x ³ = 27 × 27

x³ = 3³ × 3³

x ³ = 3⁶

x ³ = 729

x ³ = 9³

There fore,

x = 9

Hope this helps you :-)

Answer:

A = 97.5

Step-by-step explanation:

Since A & B are supplementary, the general equation would be:

180 - 82.5 = A

A = 97.5

Step-by-step explanation:

[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]

Answer: 325 dollars

Step-by-step explanation:

In order to find out a percentage of somethin, you can simply multiply and divide

[tex]500*65=32500[/tex]

32500÷100= 325

Here

[tex]\\ \sf\longmapsto PD\cong PC[/tex]

As

P is the midpoint of AC and BD

[tex]\\ \sf\longmapsto AC=BD[/tex]

[tex]\\ \sf\longmapsto AP+PC=PD+BP[/tex]

[tex]\\ \sf\longmapsto AP+PC=PC+PB[/tex]

[tex]\\ \sf\longmapsto AP=BP[/tex](Proved)

Answer:

the answer is 32

Step-by-step explanation:

3/8=0.375

0.375 x 12 =32

Answer:

-0.5

Step-by-step explanation:

If we reverse the math, 12/ -3/8=-0.5, therefore -0.5 is the answer. Please mark brainliest if possible

Answer: $37.50

Step-by-step explanation:

You multiply the $30 by the percentage tip so 25% in this case, first make it a decimal that would be 0.25. 30*.25=7.50 then you add the 7.50 to the 30 which is gives you the $37.50

Answer:

$37.50

Step-by-step explanation:

25% of 30 is 7.50   $7.50+$30=$37.50

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

Answer:

All I know is that it is the   Last  Option

Step-by-step explanation:

I did most of this mentally but I can kinda help you out :D

original R: (-5,-5)     New R: (-11,-11)

To go back to original R: (-11+6, -11+6)

original U: (-5, 1)        new U: (1,7)

HOPE THIS HELPEDDDD :333

Answer:

see explanation

Step-by-step explanation:

For a function each value of x in the domain must map to exactly one unique value of y in the range.

This is the case here so it is a function.

The domain is the x- coordinates of the points

domain is { 5, 6, 7 }

The range is the y- coordinates of the points

range is { 2, 3, 4 }

Answer:

C :3

Step-by-step explanation:

Whenever our simplification of a linear equation ends in a true statement, in this case 6=6, then our linear equation has infinitely many solutions.

Therefore, our answer is C.

even if we don’t know what x is we’ll still get an infinite amount of solutions

HOPE THIS HELPED :DDDD

Answer:

Iam very confused on this Answer please help me  

Step-by-step explanation:

The common denominator is 1

Given the expression:

Find the LCM of the numerator to have:

Simplify both the numerator and the denominator to have:

[tex]= \dfrac{\frac{b-a}{ab} }{\frac{1}{ab} }\\= \frac{b-a}{ab} \times ab\\=\frac{b-a}{1} \times 1 \\=\frac{b-a}{1}[/tex]

From the result, we can see that the common denominator is 1

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Answer:

here is the correct answer for edge2022

Step-by-step explanation:

Answer:

most I know I don't know and I don't want to know

Answer:

25

Step-by-step explanation:

20^2 + 15^ = c^2

400 + 225 = c^2

625 = c^2

25 = c

Answer: The length of the ladder is 25 feet.

Answer:

x = 3

Step-by-step explanation:

2x - 3y - z = 7 (equation 1)

3x + 5y - 3z = -2 (equation 2)

4x – y + 2z = 17 (equation 3)

(1) * 3 : 6x - 9y - 3z = 21 (1)'

(1)' - (2) :  3x - 14 y = 23 (equation 4)

(1) * 2 : 4x - 6y - 2z = 14 (1)"

(1)" + (3) : 8x - 7y = 31 (equation 5)

(5)*2 : 16x - 14y = 62 (5)'

(5)' - (4) : 13x = 39

              x = 3

So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z

Answer: we need to know what the equation is

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5 is a term 6b is a term 3d is a term

Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

Therefore, the discount percentage is 20%.

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