Kaley and Tom both work at Publix. for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom if h represents the number of hours Tom worked? What is another way to write the expression?

Answer:

C and D

multiply the 6 and -3 to the numbers inside the parenthesis

Step-by-step explanation:

Start with the series representation for eˣ.

eˣ = ∑ₙ₌₀°° xⁿ / n!

Substitute -x².

e^(-x²) = ∑ₙ₌₀°° (-x²)ⁿ / n!

e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

Multiply by x².

x² e^(-x²) = x² ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺²) / n!

Integrate both sides (use power rule).

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺³) / ((2n + 3) n!)

Evaluate between x=0 and x=0.5.

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (0.5²ⁿ⁺³) / ((2n + 3) n!)

This is an alternating series, so use alternating series estimation.

(0.5²⁽ⁿ⁺¹⁾⁺³) / ((2(n+1) + 3) (n+1)!) ≤ 0.001

(0.5²ⁿ⁺⁵) / ((2n + 5) (n+1)!) ≤ 0.001

n ≥ 1

So the estimate of the integral is the sum of the first two terms (n=0 and n=1).

I = (-1)⁰ (0.5³) / ((3) 0!) + (-1)¹ (0.5²⁺³) / ((2 + 3) 1!)

I = (0.5³) / 3 − (0.5⁵) / 5

I = 1/24 − 1/160

I = 17/480

I = 0.0354

Answer:

so x+y=77

1/2x-1/3y=6

Answer:

0.087

Step-by-step explanation:

So the equation would be:

x × 10 = 0.87

So you need to find what x is

An easy way to do this is to just to:

Move the decimal point twice to the left to get 0.087

Hope this helps!

Answer:

no

Step-by-step explanation:

not for sure tho

Answer:

hwhjwjaikwkww jajjksisiofee oakw

Answer:

i think the answer is 7

Answer:

B

Step-by-step explanation:

That's my guess.

Answer:

C

Step-by-step explanation:

Answer:

B. 50

Step-by-step explanation:

2×50=100

3×50=150

4×50=200

5×50=250

Answer: 6

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

a) dV/dt = 5 cm³/s

The volume (V) of the bubble is:

[tex]V=\frac{4}{3} \pi r^3\\\\Differentiating\ with\ respect\ to \ time(t)\\\\\frac{d}{dt}(V)=4\pi r^2 \frac{dr}{dt} \\\\Substituting\ \frac{d}{dt}(V)=5\ cm^3/s \ and\ r = 10\ cm\\\\5 = 4\pi *10^2*\frac{dr}{dt}\\\\5=400\pi *\frac{dr}{dt}\\\\\frac{dr}{dt}=0.004\ cm/s[/tex]

b) The surface area of the sphere (A) is:

[tex]A=4\pi r^2\\\\Differentiating\ w.r.t.\ t:\\\\\frac{dA}{dt}= 8\pi r\frac{dr}{dt} \\\\r=10, dr/dt=0.004\\\\\frac{dA}{dt}= 8\pi *10*0.004\\\\\frac{dA}{dt}=1\ cm^2/s[/tex]

The rate at which the radius of the bubble is changing at that time is [tex]0.0125 \pi cm^2/s[/tex]

The rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

The formula for calculating the volume of a sphere is expressed as;

[tex]V =\frac{4}{3} \pi r^3[/tex]

r is the radius of the sphere

Differentiating the volume with respect to time;

[tex]\frac{dV}{dt} = \frac{dV}{dr} \times \frac{dr}{dt} \\\frac{dV}{dt} = 4 \pi r^2\frac{dr}{dt}[/tex]

Given the following parameters

dV/dt = 5 cm^3/sec.

r = 10 cm

Substitute into the formula to get dr/dt

[tex]\frac{dV}{dt} = 4 \pi (10)^2 \times \frac{dr}{dt}\\5 = 400 \pi \times \frac{dr}{dt}\\ \frac{dr}{dt}=0.0125 \pi cm/s\\[/tex]

The surface area of the bubble is expressed as:

[tex]S = 4 \pi r^2\\\frac{dS}{dt} = \frac{dS}{dr}\times \frac{dr}{dt}\\ \frac{dS}{dt} =8 \pi r \times 0.0125 \pi\\ \frac{dS}{dt} =\pi ^2 cm^2/s[/tex]

Hence the rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

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Answer:

1.80

Step-by-step explanation:

Zaire has made par or better on 12 holes out of 15 that he has played.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

If the ratio of holes with par or better to total holes played is equal to 0.8, it means that Zaire has made par or better on 80% of the holes he has played.

Let's set up an equation to solve for the number of holes with par or better:

N/15 = 0.8

To solve for N, we can cross-multiply:

N = 15 x 0.8

N = 12

Therefore, Zaire has made par or better on 12 holes out of 15 that he has played.

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Answer:

2.50 is the y-intercept, and 0.30 is the slope.

Step-by-step explanation:

y = 0.3x + 2.5

Answer:

Y intercept is the intercept that goes up and down on a graph. (x,y) Rise/run is the slope. Rise is how many y units one point is from the other and run is how many x units is away from one point to another on a graph. Hope this helped at all.

Answer:

2 89/100

Step-by-step explanation:

its 289/100 as an improper fraction

Keep in mind that 0.89 means 89/100.

Now apply the whole number 2.

We get 2_(89/100).

Answer:

32

Step-by-step explanation:

if there are 5 occupied rooms for every 2 unoccupied, you just have to (80/5)x2

(16)x2

32

Answer:

2

Step-by-step explanation:

10.5/3.5=2

5^2

Step-by-step explanation:

You just add the exponents

-3 +5 =2

Answer:

5^2 .............................

Step-by-step explanation:

-3 + 5 = 2

Answer:

I am sorry if I'm wrong, but I got 600 or 36000/60

Step-by-step explanation:

First I looked for the least common denominator,(LCM) it was 60. Then I multiplied the numerator by the number that was multiplied by the denominator to find the new numerator for each fraction.(Example: The denominator was 60, so I looked for what 60 divided by four was, because that was the denominator. It ended up being 15. now I multiplied the numerator, which was 1 by 15 to create the new numerator. Then I did that with the other two fractions.) After all the fractions have the same denominator, you can multiply them. To multiply fractions you multiply all the numerators together and leave the denominator the same. Then I just simplified it. From 36000/60 to 600. Hope this helped :)

Answer:

15.20

Step-by-step explanation:

Step-by-step explanation:

set 3 no is ,x _ I ,x,x+1

X-1 + x + x + I = 84

3 X = 84

X= 84/ 3

X= 2 8

largest no is 29

Step-by-step explanation:

3x - 7 = 11

3x = 11 + 7

3x = 18

x = 18/3

= 6

Answer: It takes him 1 minute and 25 seconds

Step-by-step explanation:

5 divided 4

4 times 1 = 4

5-4=1

put the decimal and make 1=10                           Ans.: 1.25

4 times 2 = 8

10-8=2

put the 0 = 20

4 times 5 =20

20-20=100

Answer:

10 bucks

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

10%=0.1

100*0.1=10

$10

Answer:

B 8 +(-5)

Step-by-step explanation:

It was at 8 degrees then dropped 5.

So 5 was subtracted from 8.

Hope this helps!!

Answer:

19

Step-by-step explanation:

2.25 + 0.75 = 3.00

22.50 - 3.00 = 19.50

Hope I helped!

The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,  x = -4.

Here, we have,

given that,

the equation is: x squared - 7x-34=10

now, we have to solve this.

so, we have,

x squared - 7x-34=10

or, x²- 7x-34=10

or, x²- 7x - 44 = 0

or,  x²- 11x + 4x - 44 = 0

or, x(x-11) + 4(x-11)

or, (x-11) (x + 4) = 0

so, we get,

either , x = 11 or, x = -4

Hence, The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,

x = -4.

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Answer:

21.875 percent decrease

Step-by-step explanation:

Answer:

.........................