Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much did Zack receive for each hockey stick?

The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Series are sum of sequences

The formula for calculating the last term of a sequence is expressed as:

Sn = n/2(a+l)

Given the following

Sn = 4185

n = 18

l = 275

Required

first term "a"

Substitute

4185 = 18/2(a + 275)

4185 = 9(a + 275)

465 = a+ 275
a = 465 - 275
a = 190

Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Learn more on series here; https://brainly.com/question/7882626

Answer:

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )

y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3(y - 2) = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Answer:

3(x-2)

Step-by-step explanation:

interchange value of x and y

Answer:

f(g(x))=3x^2-30x+75

Step-by-step explanation:

We want to find the value of f(x) when x is equal to g(x)

So we can substitute the value of g(x) into the f(x) equation

f(g(x))= 3(5-x)^2

f(g(x))= 3(25-10x+x^2)

f(g(x))=3x^2-30x+75

Completely simplified version: 3(x-5)^2

Answer:

-57

Step-by-step explanation:

[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]

Answer:

7 in

Step-by-step explanation:

L * W * H = volume

L * 5 * 9  = 315

L = 315 / (5*9) = 7 in

Answer:

11

Step-by-step explanation:

hope this helps loves x

Answer:

813.33 N/m²

Step-by-step explanation:

Before finding the answer to this, let us convert 750cm² to m².

1 m ⇒ 100cm

1 m × 1 m ⇒ 100 cm × 100 cm

--------------

1 m² ⇒ 10000 cm²

 x    ⇒ 750 cm²

Let us use cross multiplication to find the value of x.

10000x = 750 × 1

10000x = 750

x = 750/10000

x = 0.075

∴ 750 cm² = 0.075 m²

And now let us find the pressure.

Pressure = Force ÷ Area

Pressure = 61 N ÷ 0.075 m²

Pressure = 813.33 N/ m²

Answer: 2584

Step-by-step explanation: Length × height × width

Answer:

X=8 years, option F

Step-by-step explanation:

Answer

6 years

Step-by-step explanation:

The answer is 6 years

Answer:

39

Step-by-step explanation:

39 + 40 + 41 = 120

39 is the least of these integers

Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.

Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...

Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...

Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer

Answer:

a

Step-by-step explanation:

you need to have same kx for lines to be parallel.

y=kx+l

l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same

The factor of the polynomial 3x³ – 5x² – 12x + 20 is  (x – 2), (x + 2), and (3x – 5). Then the correct option is D.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

f(x) = 3x³ – 5x² – 12x + 20

Then the factor of the polynomial will be

f(x) = (x – 2)(x + 2)(3x – 5)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer: D.) 3x-5

Step-by-step explanation:

I would know because I got it right on my unit test.

Answer:

F

Step-by-step explanation:

the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th

A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe

Answer:

5.1416

Step-by-step explanation:

L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]

Answer:

[tex]a=3,~ b = -6,~ c=2[/tex]

Step-by-step explanation:

[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]

Answer:

14137.17 cubic cm

Step-by-step explanation:

I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.

IMPORTANT : When it says air-  you have to realize it's VOLUME.

radius= 15 cm

the amount of cubic centimeters of air needed to fill the soccer ball.

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

[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]

[tex]v = 14137.17 {cm}^{3} [/tex]

therefore, the soccer ball can hold 14137.17 cubic centimeters of air.

Answer:

4

Step-by-step explanation:

subsitute the value of the variable into the expression and simplify.

Answer:

this is true because he knows that 8 times 4 is 32 then he will automatically know that 8 divided by 32 will be 4 since 8 was a factor.

Step-by-step explanation:

I suck at explaining stuff but yeah this is true bc two factors of a number divided by it will always be the other factor yk

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

[tex]-\frac{52}{27}[/tex]

Step-by-step explanation:

Let's first convert everything to improper fractions as it becomes easier to compute with.

[tex]4 \frac{1}{3} = \frac{4*3+1}{3} =\frac{13}{3}[/tex]

Now we can put that back into the expression:

[tex]-\frac{4}{9} * \frac{13}{3}[/tex]

Nothing cancels out so the answer we get is:

[tex]-\frac{52}{27}[/tex]

Answer:

five by four

Step-by-step explanation:

4 x 3/4 Sure hope this helps you

Answer:

3053.63 un³

Step-by-step explanation:

Hello!

The diameter is 18, so the radius is half of the diameter, or 9.

Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]

Solve:

The volume is 3053.63 un³.

Answer:

Increasing by 40%

Step-by-step explanation:

This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.