Peter earns each hour for the first 40 hours he works each week. For every hour, he works after 40 hours he earns $12 each hour last week, Peter earned $444. Which equation could be used to find the number of hours, h, during which Peter earned $12 last week?

Using it's concept, it is found that there is a 0.0526 = 5.26% experimental probability that the next student Grayson talks to will pick orange.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 2 out of 38 students picked orange as their favorite color, hence the probability that the next student picks orange is given by:

p = 2/38 = 1/19 = 0.0526.

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Step-by-step explanation:

[tex]5. {x}^{3} - xy + {y}^{2} = 4[/tex]

[tex] \frac{dy}{dx} ( {x}^{3} - xy + {y}^{2} ) = \frac{dy}{dx} (4)[/tex]

[tex]3 {x}^{2} - x(1) \frac{dy}{dx} + 1(y) + 2y \frac{dy}{dx} [/tex]

Combine the dy/dx.

[tex] \frac{dy}{dx} ( - x + 2y) + y + 3 {x}^{2} [/tex]

[tex] \frac{dy}{dx} ( - x + 2y) = - 3 {x}^{2} - y[/tex]

[tex] \frac{dy}{dx} = \frac{ - 3 {x}^{2} - y}{ - x + 2y} [/tex]

[tex] \frac{3 {x}^{2} + y }{x - 2y} [/tex]

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]

Step-by-step explanation:

using the product rule to differentiate - xy then

3x² - (x[tex]\frac{dy}{dx}[/tex] + y(1) ) + 2y[tex]\frac{dy}{dx}[/tex] = 0

3x² - x[tex]\frac{dy}{dx}[/tex] - y + 2y[tex]\frac{dy}{dx}[/tex] = 0

3x² + [tex]\frac{dy}{dx}[/tex] (2y - x) - y = 0 (subtract 3x² - y from both sides )

[tex]\frac{dy}{dx}[/tex] (2y - x) = y - 3x² ← divide both sides by (2y - x)

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]

Answer:

The volume of a prism with a base area of 24.3 cm2 and height 14 cm

Answer:

C. 360-85=12h

Step-by-step explanation:

360=85+12h

360-85=12h

Answer:

I cannot see the attachment

Step-by-step explanation:

Answer:

a rigid motion does not affect the overall shape of an object but  moves an object from a starting location to an ending location the resultant figure in cogruent to the original figure.a rigged motionis when an  object is  moved  from one location to another  and the size and shape have not changed.hope it helps :)

Answer:

Intrest rate is 3645%

20(36.45%) = $4374

Step-by-step explanation:

Semi-annualy = 6 months

Start: $9,000

After 10-years (120 months): $13,373.53

Since it's gaining money every 6 months, it gains money over 20 months.

(120/6 = 20)

After removing the starting cost, it gains $4,373.53 over 20 months.

(13,373.53 - 9,000 = 4,373.53)

$4,373.53 spread out over 20 months equals around $218.68 every 6 months.

(4,373.53 ÷ 20 = 218.6765)

(218.6765 ≈ 218.68)

$218.68 over 6 months equals about $36.45 every month

(218.68 ÷ 6 = 36.44666)

(36.4666 ≈ 36.45)

The intrest rate is 3645%

(3645% ÷ 100% = 36.45)

Step-by-step explanation:

perimeter=(8cm×5)+24cm

=40cm+24cm

=64cm

2. Elana's Family. Elana's Family.

Answer:

so

Step-by-step explanation:

what I did was count the lines start from 5m and go on from there hope this helps :)

Answer:

The ball was thrown from a height of [tex]3\; {\rm ft}[/tex].

Step-by-step explanation:

The expression for the height of this ball, [tex]h(t) = -16\, t^{2} + 40\, t + 3[/tex], represents a parabola (with respect to time [tex]t[/tex].)

In this expression, "[tex]3[/tex]" represents the [tex]y[/tex]-intercept of the parabola- the output of the parabola when the input is [tex]t = 0[/tex]. The reason is that when [tex]t = 0\![/tex], terms of this parabola that include [tex]t[/tex] ([tex](-16\, t^{2})[/tex] and [tex]40\, t[/tex]) would evaluate to [tex]0[/tex]:

[tex]\begin{aligned}h(0) &= -16\times 0^{2} + 40\times 0 + 3 = 3\end{aligned}[/tex].

In the case of this ball, the term "[tex]3[/tex]" means that height of this ball is [tex]3\; {\rm ft}[/tex] when [tex]t = 0[/tex] (right when the ball was thrown.) Thus, the ball was thrown from a height of [tex]3\; {\rm ft}[/tex].

Answer: X = 7

Step-by-step explanation:

1) 20 / 5 = 4

2) X - 2 = 5

3) 7 - 2 = 5

4) 4 x 5= 20

6) 20 / 5 = 4

7) X = 7

Answer:

5.32

Step-by-step explanation:

MARK A BRAIN LESS

CARRY ON LEARNING

B BRAIN LY FAST

Answer:

1/2 = 0.5 = 50%

Step-by-step explanation:

Given:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(yellow) = \dfrac{4}{8}=\dfrac12[/tex]

This can also be written as 0.5 or 50%

Probability of yellow:-

P(Y):-

Answer:

there is no picture to give an answer

Answer:

I need the picture to answer the question...

Step-by-step explanation:

Answer:

[tex]y^2 + 2y + 80[/tex]

Step-by-step explanation:

[tex]6y^2 + 2y + 5 - (5y^2 - 64 - 11)[/tex]

[tex]6y^2 + 2y + 5 - 5y^2 + 64 + 11[/tex]     [pay attention to the signs :)

[tex]y^2 + 2y + 80[/tex]

A Z-score helps us to understand how far is the data from the mean. The z-score of a person who scored 470 on the exam is 0.8.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

Given the mean is 450, while the standard deviation is 25, therefore, the value of the z-score can be written as,

[tex]Z = \dfrac{X- \mu}{\sigma}\\\\Z(X=470) = \dfrac{470- 450}{25} = 0.8[/tex]

Hence,  the z-score of a person who scored 470 on the exam is 0.8.

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Using the given quadratic function, it is found that:

a) The vertex is (-2.5, -15.5).

b) The y-intercept is of -3.

c) The solutions are x = -0.28, x = 5.28.

It is modeled by:

f(x) = 2x² - 10x - 3.

Which means that the coefficients are a = 2, b = -10, c = -3.

It is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Hence:

[tex]x_v = -\frac{-10}{4} = -2.5[/tex]

[tex]y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5[/tex]

The vertex is (-2.5, -15.5).

It is the value of coefficient c, hence it is of -3.

[tex]\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124[/tex]

[tex]x_1 = \frac{10 + \sqrt{124}}{4} = 5.28[/tex]

[tex]x_2 = \frac{10 - \sqrt{124}}{4} = -0.28[/tex]

The solutions are x = -0.28, x = 5.28.

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[tex] \frac{2 |x - 3| }{5} = 6 \\ [/tex]

[tex]5 \times \frac{2 |x - 3| }{5} = 5 \times 6 \\ [/tex]

[tex]2 |x - 3| = 30[/tex]

[tex] \frac{2 |x - 3| }{2} = \frac{30}{2} \\ [/tex]

[tex] |x - 3| = 15[/tex]

[tex]x - 3 = 15[/tex]

[tex]x - 3 + 3 = 15 + 3[/tex]

[tex]x = 18[/tex]

[tex]x - 3 = - 15[/tex]

[tex]x - 3 + 3 = - 15 + 3[/tex]

[tex]x = - 12[/tex]

Answer:

Step-by-step explanation:

1. the surface area of a square is 6 * s^2

a. 6 * 5^2 = 150 sq ft

b. 6 * 6^2 = 216 sq in

c. 6 * 12^2 = 864 sq mm

2. the surface area of a rectangle is 2(l*w + w*h + l*h)

a. 2(2*5 + 5*7 + 2*7) = 118 sq ft

b. 2(16*11 + 11*10 + 16*10) = 892 sq in

3. the surface area of a sphere is 4pi * r^2

a. 4pi * 12^2 = 576pi or 1809.6 units sq

b. 4pi * 16^2 = 1024pi or 3216.99 units sq

c. d = 2r, r = 5, 4pi * 5^2 = 100pi or 314.2 units sq

4. the surface area of a cylinder is (2pi * r^2) + (2pi*r * h)

a. (2pi * 6^2) + (2pi * 6 * 12) = 216pi or 678.6 units sq

b. (2pi * 2^2) + (2pi * 2 * 10) = 48pi or 150.8 units sq

c. (2pi * 3^2) + (2pi * 3 * 5) = 48pi or 150.8 units sq

5. r = d/2 = 0.5, using formula from question 4:

(2pi * 0.5^2) + (2pi * 0.5 * 4) = 4.5pi or 14.14 ft sq

Answer:

5

Step-by-step explanation:

(1 + i ) ^45     i = interest in decimal    45 = years

(1.08)^45 = ~~ 32    

when she is 65 it will be worth  32 000

  so it doubles  5 times   (1000  2000  4000  8000 16000 32000)

An expression in terms of s that represents the number of large bottles is :  L = [tex](\frac{15s}{2} /3})[/tex]

The company makes s small bottles every minute

let ; M represent the number of medium bottles made every minute

L represent the number of large bottles made every minute

small bottles to medium =  2 : 3

small bottles to medium =  s : M

M is the unknown, so to find how many medium bottles that has been made,  we must cross multiply

2M = 3s

M = [tex]\frac{3s}{2}[/tex]  medium bottles made every minute

medium bottles to large bottles =  3 : 5

medium bottles to large bottles =  M : L

where M = [tex]\frac{3s}{2}[/tex]

The equation becomes:

           3 : 5

           [tex]\frac{3s}{2}[/tex] : L

L is the unknown, so to find how many Large bottles that has been made,  we must cross multiply

3L =( [tex]\frac{3s}{2}[/tex] ) * 5

L = [tex](\frac{15s}{2} /3})[/tex]

L = ( [tex]\frac{5}{2}[/tex] s)

L = 2.5 s

therefore the large bottles the company makes every minute is 2.5s large bottles

we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s

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Answer:

448.02

Step-by-step explanation:

72% of 2489 is 1,792.08

25% of 1,792.08 is 448.02

Answer:

horizontal stretch

Step-by-step explanation:

For f(x) to turn into g(x), you must divide the function by 8. When we divide a function, this is known as a horizontal stretch because as you can see, the function gets wider. See the help image below with different examples.

Just a future tip: when you're in doubt, graph it out!

Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.  Option C is correct.

The general form of the quadratic function is f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

In this case, for f(x) = -8x² - 8, the vertex is at (0, -8).

For g(x) = -x² - 1, the vertex is at (0, -1).

Comparing the two functions, you can see that the coefficient in front of x² changes from -8 to -1.

This change in the coefficient results in a horizontal stretch or compression of the parabola.

In this case, the graph has been horizontally stretched to transform from f(x) to g(x).

Hence, Option c is correct. Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.

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i need the answer to this lol

Answer:

(1) the tax is 788.76

(2) 19312.23

Step-by-step explanation:

Hope this helps

Answer:

1 is alternate exterior

2 is none of these

3 and 5 are corresponding

4 is alternate interior

Step-by-step explanation:

Answer: x=24

Step-by-step explanation: