15. If the 8% tax on an item amounts to $0.96, what is the final price (tax included) of the item?​

Answer: 324π units²

Step-by-step explanation:

The formula for the surface area of a sphere is: A=4πr²

Now we just plug in 9 for r:

A = 4π(9)²

A = 4π*81

A = 324π

Answer:

1018 units^2

Step-by-step explanation:

The surface area of a sphere is given by A = 4pi(r)^2, where r is the radius.

Here, A = 4(3.14159)(9 units)^2 = 1018 units^2, to the nearest integer.

Answer:

The answer in the procedure

Step-by-step explanation:

Remember that

[tex]1\ cm=10\ mm[/tex]

Elevated to the cube both sides

[tex](1\ cm)^{3}=(10\ mm)^{3}[/tex]

[tex](1)^{3}\ cm^{3}=(10)^{3}\ mm^{3}[/tex]

[tex]1\ cm^{3}=1,000\ mm^{3}[/tex]

Answer:

Heya mate here's the answer

let the 4th angle be x

so 75°+ 75°+75° +x= 360°

=> x= 360 - 225

=> x = 135°  

therefore the 4th angle= 135°

hope this helps

Step-by-step explanation:

Answer:  She has 525 costumers.

Step-by-step explanation:

We know that the costumer base is  [tex]\frac{2}{3}[/tex] residential and  [tex]\frac{1}{3}[/tex] business. This means that:

[tex]\frac{2}{3}=350[/tex] residential customers

Let be "x" the total costumers Athy has and "y" the number of business costumers.

Then "x" must be:

[tex]x=350+y[/tex]

Then, in order to find "y" , we need to multiply the number of residential costumers by  [tex]\frac{1}{3}[/tex] and divide the product by [tex]\frac{2}{3}[/tex] :

[tex]y=\frac{(350)(\frac{1}{3})}{\frac{2}{3} }\\\\y=175[/tex]

Substituting we get that "x" is:

 [tex]x=350+175=525[/tex] costumers

[tex]\bf f(x)=x-1\qquad \qquad g(x)=3\cdot f(x)\implies g(x)=\underline{3(x-1)} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} x&g(x)\\ \cline{1-2} 1&0\\2&3\\3&6 \end{array}\qquad \qquad (\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6})[/tex]

[tex]\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=3(x-1)\implies y=\underline{3(x-1)}[/tex]

The table that represents g(x) = 3⋅f(x) when f(x) = x − 1 is that of Option D;

x g(x)

1 0

2 3

3 6

f(x) = x − 1

We want to find; g(x) = 3⋅f(x)

This means that; g(x) = 3(x - 1)

Looking at the options, the input values to be used are x = 1, 2 3.

When x = 1; g(x) = 3(1 - 1 )

g(x) = 0

When x = 2; g(x) = 3(2 - 1)

g(x) = 3

When x = 3; g(x) = 3(3 - 1)

g(x) = 6

Looking at the options, only the table in option D is correct.

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Answer:

124

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

32 goes into 39 one time, 39-32= 7

bring down the 6

32 goes into 76 two times, 76 - 64= 12

bring down the 8

32 goes into 128 four times, 128 - 128 = 0

So 3968/32 = 124

That is true for sure!!!

The statement 1/5⁻² =25 is true.

The statement 1/5⁻² = 25 is true.

To simplify the expression, we can rewrite 1/5⁻² as 5²/1. When we have a negative exponent in the denominator, it moves to the numerator and becomes positive.

Therefore, 1/5⁻² is equivalent to 5²/1.

Since 5² equals 25, we can conclude that 1/5⁻² is indeed equal to 25.

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Answer: 34.93 units

Step-by-step explanation:

The volume of a rectangular prism can be calculated with this formula:

[tex]V=Bh[/tex]

Where "V" is the volume, "B" is the base area and "h" is the height.

Since we need to find the height, we must solve for "h":

[tex]h=\frac{V}{B}[/tex]

We know that the volume of that wooden chest (which is in the shape of a rectangular prism) is 524 cubic units and the base area is 15 square units. Then:

[tex]V=524units^3\\B=15units^2[/tex]

Subsitituting these values into [tex]h=\frac{B}{V}[/tex], we get that the height of the chest is:

 [tex]h=\frac{524units^3}{15units^2}=34.93units[/tex]

[tex]\bf Py+qy=-4y+8\implies Py+qy+4y=8\implies \stackrel{\textit{common factor}}{y(P+q+4)}=8 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=\cfrac{8}{P+q+4}~\hfill[/tex]

Answer:

y =  8 / (P + q + 4)

Step-by-step explanation:

Group ALL y terms on the left side:  Py + qy + 4y = 8.

Factor y out of the left side:              y(P + q + 4) = 8

Divide both sides by (P + q + 4):        y =  8 / (P + q + 4)

Answer:

the first one

Step-by-step explanation:

the number of mistakes went from 19 the first week of class to 0 the 20th week

Answer:

=13.73 ft²

Step-by-step explanation:

The diameter of the largest possible circle that can be cut out of  a square is equal to the length of the side of the square.

Therefore the diameter of the circle cut from a square of side 8ft =8ft

r=4ft

Area of the remaining board= Area of square- area of circle

=side²-πr²

=8²-π×4²

=64-16π

=13.73 ft²

Answer:

-316

Step-by-step explanation:

Each operation shown in bold is done on the next line.

(-5+1)(((3+6)*2-2)(5)-1) =

= (-4)((9*2-2)(5)-1)

= (-4)((18-2)(5)-1)

= (-4)(16(5)-1)

= (-4)(80-1)

= (-4)(79)

= -316

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( [tex]\frac{7}{2}[/tex] )x +[tex]\frac{49}{4}[/tex] - [tex]\frac{49}{4}[/tex] - 5

y = (x + [tex]\frac{7}{2}[/tex] )² - [tex]\frac{49}{4}[/tex] - [tex]\frac{20}{4}[/tex]

y = (x + [tex]\frac{7}{2}[/tex] )² - [tex]\frac{69}{4}[/tex]

Hence

a = [tex]\frac{7}{2}[/tex] and b = - [tex]\frac{69}{4}[/tex]

Answer:

D

Step-by-step explanation:

The y-intercept is the number or constant at the end of the equation.

D sets both of their y-intercepts to -6, so it's correct.

=============================================

Explanation:

Plug x = 0 into f(x)

f(x) = 4x + 1

f(0) = 4(0) + 1

f(0) = 1

The y intercept of f(x) is 1

----------

Now plug x = 0 into g(x)

g(x) = 3^x - 2

g(0) = 3^0 - 2

g(0) = -1

The y intercept of g(x) is -1

----------

Note how the y intercepts are 2 units apart.

Each of the answer choices are in the form of f(x) + M and g(x) + N. The goal is to see which M and N values will be 2 units apart. In this case, that would be choice C where M = -1 and N = 1

We see that f(x) - 1 = f(0) - 1 = 1 - 1 = 0 and g(x) + 1 = g(0) + 1 = -1 + 1 = 0

Therefore, f(x) - 1 and g(x) + 1 have the same y intercept of 0.

Answer:

Before Tax: $240

After Tax: $259.20

Step-by-step explanation:

If we are trying to find the original price then here:

216/1.08 = 200

This took away the tax now we need to take away the discount:

200 x 1.2 = 240

Before Tax: $240

After Tax: $259.20

The original after tax price of the flute is $259.20.

The first step is to remove tax from the sales price.  In order to remove tax, divide the sales price by (1 + tax): $216 / 1.08 = $200

The second step is to remove the effect of discount. In order to do this multiply 200 by (1 + discount): 200 x 1.2 = $240.

The after tax original price = $240 x 1.08 = $259.20

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Answer:   [tex]\bold{a.\quad -\dfrac{2\sqrt{6}}{5}}[/tex]

Step-by-step explanation:

[tex]sin\theta=\dfrac{y}{h}\implies y=-1, h=5\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2 + y^2 = h^2\\x^2 + (-1)^2=5^2\\x^2+1=25\\x^2=24\\x=\sqrt{24}\\x=2\sqrt{6}[/tex]

[tex]\text{Since }\theta\text{ is between }\pi\text{ and }\dfrac{3\pi}{2} \text{ (Quadrant III)},\text{ then x and y are negative.}\\\implies x=-2\sqrt{6}\\\\\\cos\theta = \dfrac{x}{h}\quad =\boxed{-\dfrac{2\sqrt{6}}{5}}[/tex]

Answer:

8 pages/ minute

Step-by-step explanation:

To find the rate, we take the pages and divide by the minutes

368 pages / 46 minutes

8 pages/ minute

[tex]b=-1[/tex]

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

Answer:

X=2, X= -5/3

Step-by-step explanation:

let's solve your equation step-by-step

3x^2-x-10=0

step 1: factor left side of equation.

(3x+5)(x-2)=0

step 2: set factors equal to 0.

3x+5=0  or x-2=0

x= -5/3 or x=2

Answer:

48.28

Step-by-step explanation:

2800:58 = 48.28

Answer:

a

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

you have to divide

Answer

Step-by-step explanation:$149.50 is the answer

Answer:

C is your answer I did this test before.

Step-by-step explanation:

good luck.

C is your answer

We have given that,

when using the rational root theorem, which of the following is a possible root of the polynomial function below

F(x)=3x^3-x^2+4x+5

The rational root theorem says, a rational zeros of a polynomial is of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

p/q=±a0/a1

from the given polynomial a1=3 and a0=5

p/q=±3/5

+3/5 is not in the option so the correct option -3/2

So the root of the given polynomial is -3/5

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Jerod will need 19 pages to display all his 112 photos.

If you divide 112 by 12 you get 18.6667.

Since Jerod cannot break his paper into a half for the .6667 space, he would need to use 19 pages in total. All his 18 pages will have 6 photos each but his last 19th will have 1 photo left on it.

Hope this helps!!!

Mark as Brainliest Please!!!

Answer:

C

Step-by-step explanation:

recall the property [tex]a^{1/b}= \sqrt[b]{a}[/tex]

if we apply this to this case,

[tex]x^{1/4} = \sqrt[4]{x}[/tex]

- [tex]x^{1/4} = - \sqrt[4]{x}[/tex]

Answer:

Step-by-step explanation:

a

Answer:

4/x14y8     -    Last Option

Answer:

The third term is [tex]24x^2y^2[/tex]

Step-by-step explanation:

The formula used to find the third term of the expansion (2x+y)^4 is called Binomial Theorem

The Binomial Theorem is:

[tex](x+a)^n = \sum_{k=0}^{n} {n \choose k}x^ka^{n-k}\\[/tex]

In the given question x = 2x

a = y

n = 4

We have to find the third term, so value of k will be 2 as k starts from 0

Putting the values in the Binomial Theorem

[tex]= {4 \choose 2}(2x)^2(y)^{4-2}\\= {4 \choose 2}4x^2(y)^{2}[/tex]

[tex]{n \choose k}==\frac{n!}{k!(n-k)!}[/tex]

Putting the values:

[tex]= {4 \choose 2}4x^2(y)^{2}\\=\frac{4!}{2!(4-2)!}4x^2(y)^{2}\\=\frac{4!}{2!2!}4x^2y^{2}\\=\frac{4*3*2*1}{2*2}4x^2y^{2}\\=\frac{24}{4}4x^2y^{2}\\=6*4x^2y^{2}\\=24x^2y^2[/tex]

So, the third term is [tex]24x^2y^2[/tex]

Answer:

y = 0.75x

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k substitute either of the 2 points into the equation

Using (12, 9 ), then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{9}{12}[/tex] = 0.75, so

y = 0.75x ← equation of variation

Answer : The correct answer is, [tex]29\frac{62}{7}[/tex]

Step-by-step explanation :

The given expression is:

[tex]10\frac{3}{7}+19\frac{5}{9}[/tex]

Step 1 : Convert mixed fraction into fraction.

[tex]\frac{73}{7}+\frac{176}{9}[/tex]

Step 2 : Taking L.C.M

[tex]\frac{(9\times 73)+(176\times 7)}{63}[/tex]

[tex]\frac{(657)+(1232)}{63}[/tex]

[tex]\frac{1889}{63}[/tex]

Step 3 : Convert fraction into mixed fraction.

[tex]=29\frac{62}{7}[/tex]

Thus, the correct answer is, [tex]29\frac{62}{7}[/tex]

Answer: 45.71 - 6x = y

Step-by-step explanation:

45.71 - 6x = y

x= the amount 1 pack of markers cost

y= how much money Heather has after the donation

Answer: The required expression for amount left in her bank after the donation is given by [tex]Amount\ left=45.71-6x[/tex]

Step-by-step explanation:

Since we have given that

Amount of her saving = $45.71

Number of packs of markers to donate to her school = 6

Let the cost of each pack of markers be 'x'.

So, Amount left in her bank account after the donation is given by

[tex]Amount\ left=45.71-6x[/tex]

Hence, the required expression for amount left in her bank after the donation is given by

[tex]45.71-6x[/tex]