15.
If abx - 5 =0, what is x in terms of a and b?f(x)X-5-4-3Ih(x)3014620-1-1.5-1.75-1012
8(x) = 3' +2
Which statement is true?
1) The y-intercept for h(x) is greater than
the y-intercept for /(x).
2) The y-intercept for Sx) is greater than
the y-intercept for g(x).
3) The y-intercept for h(x) is greater than
the y-intercept for both g(x) and S(x).
4) The y-intercept for g(x) is greater than
the y-intercept for both /(x) and h(x).

Answer

A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.

B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.

Step-by-Step Explanation

A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.

B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].

Answer:

n m n .m .nmn nm Step-by-step explanation:

Answer:

Step-by-step explanation:

4/5 means four divided by five. if we do four divided by five, we get 0.8

Answer:

FV= £12,362.7

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= £12,000

Number of periods (n)= 2 years

Interest rate (i)= 1.5% = 0.015

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 12,000*(1.015^2)

FV= £12,362.7

Answer:

c

Step-by-step explanation:

it is

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

Answer:

Step-by-step explanation:

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Exponential growth function

= y = a(1 + r)^t

Solving for y

y = 200(1 + 0.092)⁷

Answer:

75 Pages

Step-by-step explanation:

If he has 40% completed, it is 0.40 as a decimal.  We are trying to solve for the total number of pages in the book, or the whole.

part/whole = percent  

Let x = total number of pages in the book

30/x=0.40

x=30/0.40 = 75 pages in the book

Answer:

x = 4

Step-by-step explanation:

(5x+131)° and (5x+19)° are supplementary. Therefore, (5x+19)° + (5x+131)° equals to 180°.

Knowing that, we can do the following:

Answer:

(2,4)

Step-by-step explanation:

because the coordinates change places and signs

Answer:

(- 4, - 2 )

Step-by-step explanation:

Answer: it should be 9.2%

Step-by-step explanation:

The  percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .

Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]

We have,

Total number of people [tex]=750[/tex]

Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]

Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]

So,

Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]

[tex]=\frac{69}{750} *100[/tex]

[tex]=9.2\%[/tex]

So,  the percentage of people is  [tex]9.2\%[/tex] .

Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

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Answer:

GL = square root of 2 = √2

Step-by-step explanation:

Given: GHJK is a square and its diagonals intersect at L

GJ and HK are its two diagonals.

We know that in a square diagonals bisect each other and if length of side is a, then length of its diagonal = √2 a.

Therefore, GJ=HK = √2×2

Since, diagonal intersect at L , L is mid point of GJ and HK

Therefore, GL = √2×2/2 = √2

Hence, GL = square root of 2

Answer:

equation

Y being the total cost

50 being the one time rental fee

Y= 50+0.5x

Answer:

A. -1

Step-by-step explanation:

To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.

(3,1) (4,0)

3 - 4 = -1

1 - 0 = 1

-1 ÷ 1 = -1

-1 is the slope.

Answer: x = -3

Step-by-step explanation:

2y + x = -15

y = 2x

2y = 2(2x) = 4x

4x + x = -15

5x = -15

x = -3

Answer:

The second option, 6

Step-by-step explanation:

opening the parentheses, the equation becomes,

4y - 24 = 0

4y = 24

y = 6

Answer: X=10

Step-by-step explanation:

Answer: Option D

Explanation: 100%

Answer:

Answer is 969

Step-by-step explanation:

oasjfuagfiaifoqhfpwbnpvniohaoi

Answer:

Step-by-step explanation:

630

Answer:

789 to nearest whole number.

Step-by-step explanation:

In 4 years its increased from 220 to 350.

350 = 220(e)^4k  where k is some constant.

e^4k = 350/220

4k = ln (350/220) = 0.4643

k = 0.1161

The equation  of growth is therefore

P = 220e^0.1161t)

So  in 2011 ( t = 11 years) the

Population = 220 * e^(11*0.1161)

= 789.

Answer:

220

Step-by-step explanation:

Multiply 15 times 10 =150

150+70=220

Hope this helps :)

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

Explanation:

After 10 weeks, he'll deposit a total of 15*10 = 150 dollars on top of the $70 already in the account. This means the grand total is 150+70 = 220 dollars

If you need to use algebra, then an algebraic expression you can use is 70+15x where x is the number of weeks. Replace x with 10 and you'll end up with 70+15*10 = 70+150 = 220. It's effectively the same idea and steps as the previous paragraph, but now we're involving a variable.

The amplitude of the graphs of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

And the period of each is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

The amplitude of each of the graphs of the sine and cosine functions is 1

The period of each of the graphs of the sine and cosine functions is 2π.

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Answer:

6 bags

Step-by-step explanation:

This problem is essentially asking how many ([tex]\frac{2}{3}[/tex]) peanut bags can one fill with ([tex]4[/tex]) pounds of peanuts. This problem can be solved by divided ([tex]4[/tex]) by ([tex]\frac{2}{3}[/tex]). Set up the problem,

[tex]4[/tex] ÷ [tex]\frac{2}{3}[/tex]

In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).

[tex]4 * \frac{3}{2}[/tex]

Multiply,

[tex]\frac{12}{2}[/tex]

Simplify,

[tex]6[/tex]

Answer:

n = 2

Step-by-step explanation:

divide by 7 on both sides

Answer:

n = 2

Step-by-step explanation:

7n is the same as 7 times value = 14.

You may find the value of n by simply dividing both sides by seven, in order to isolate the variable.

^ 14/7 = 7n/7

^ (simplified) 2 = n or n =2

Therefore:

Your answer is 2 or n's value in this scenario is 2.

Answer:

4x³

Step-by-step explanation:

4 * x * x * x

4 * x² * x

4 * x³

4x³

Simply multiply, that's all that's needed.