Why is apr an important tool for consumers

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Reason:

If the linear scale factor is 5, then the volume scale factor is 5^3 = 125

Meaning we'll multiply the old volume by 125 to get the new volume

new volume = 125*(old volume)

new volume = 125*(24)

new volume = 3000

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A more in-depth look:

Consider a 2 by 2 by 2 block. Its volume is 2*2*2 = 8

Now multiply each dimension by 5, so we now have a 10 by 10 by 10 block. The new larger volume is 10*10*10 = 1000

The volume ratio is 1000/8 = 125, which matches with the value found earlier.

Since we multiplied each piece by 5, and did so three times, we're really multiplying the volume by 5*5*5 = 125.

Answer:

420*3/2 = 630

630/60 = 10.5

=> B direction isn't relevant with velocity

Answer:

A. 10.5

Step-by-step explanation:

I divided 450 by 40 for the velocity of 10.5 brainliest please!!

Answer:

Yes

Step-by-step explanation:

So we know the second child was a boy however if the first child was a boy, the probability of getting a second boy would be 7/17 since one boy is missing and one person is missing from the total.

However, if a girl was chosen as the first child, the probability of getting a boy second would be 8/17 since no boys would be missing but one person would be missing from the original total.

Answer:

greatest to least: cindy, betty, alice

Step-by-step explanation:

multiply each amount by 20- 5 days times 4 weeks

3*20=60 for alice

25*3=75 betty

75*3=225 cindy

Answer:

[tex]2\sqrt{61\pi }[/tex]

Step-by-step explanation:

Let's find c by using the Pythagorean Theorem: [tex]10^2 + 12^2 = c^2[/tex] so [tex]c = \sqrt{10^2 + 12^2}[/tex]. I'm going to leave c like this so it is easier to multiply by [tex]\sqrt{\pi }[/tex]. [tex]c\sqrt{\pi } = \sqrt{10^2 + 12^2}\sqrt{\pi } = 2\sqrt{61\pi }.[/tex]

Hope this helped! :)

[tex]8.92 ~ \text{cm}^2\\\\=8.92 \times \left( 1 ~ \text{cm} \right)^2\\\\=8.92 \times \left(10^{-2}~ \text{m} \right)^2~~~~~~;\left[1~ \text{cm} = \dfrac{1}{100}~ \text m} = 10^{-2}~ \text{ m} \right]\\\\=8.92 \times 10^{-4}~ \text{m}^2\\\\=0.000892~ \text{m}^2[/tex]

Answer:

m = 60

Step-by-step explanation:

log is another way to write an exponent.

Example:

exponent form:

7^2 = 49

log form:

log_7 (49) = 2



In your question, we need to change to exponent form, from log form.

log_5 (2m+5)=3

5 is the base. 3 is the exponent.

Now it can be solved.

5^3 = 2m+5

125 = 2m + 5

120 = 2m

60 = m

Answer:

2y = x - 1

Step-by-step explanation:

y = 2y

mx = x

c = -1

Answer:

2 cm.

Step-by-step explanation:

Volume of the water is the same in the 2 cyinders,

Volume of water in  A = π r^2 * 18.

Volume in B = π (3r)^2 * h.

So 18πr^2 = 9π r^2 h

18 = 9h

h = 18 / 9

= 2

Answer:

504

Step-by-step explanation:

Answer:

The first job pays more

Step-by-step explanation:

950 x 3 = One month pay = 2,850

2,859 x 12 = One year = 34,308 Per Year

Comparing them both

$45,000 One Year, First Job

$34,308 One Year, Second Job

Answer:

  2973.5 liters

Step-by-step explanation:

You are being asked to find the volume of the largest possible container that has a given surface area. The volume will depend on the shape. If shape is not specified, we know a sphere has the largest volume for a given area.

__

The available area is ...

  ($100) / ($10/m²) = 10 m²

The area of a sphere with diameter d is ...

  A = πd²

Then the diameter for the given area is ...

  10 m² = πd²

  (10/π) m² = d² . . . . . divide by π

  √(10 m²/π) = d ≈ 1.78412 m . . . . . . diameter of the largest sphere

The volume of a sphere is given by ...

  V = 4/3πr³ = (π/6)d³

For the diameter found above, the volume of the sphere will be ...

  V = (π/6)(1.78412 m)³ ≈ 2.97354 m³

There are 1000 liters in a cubic meter, so the largest amount of water that can be contained is ...

  2.97354 m³ × (1000 L/m³) = 2973.54 L

The largest amount of water the container can hold is about 2973.5 liters.

The interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Leah is going to invest P=$30,000 and leave it in an account for t=7 years.

Put the values in the above formula to find rate of interest.

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\40000=30000\times\left(1+\dfrac{r}{12\times30\times100}\right)^{12\times30\times(7)}\\r=4.11 \5[/tex]

Thus, the interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

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Answer:

Step-by-step explanation:

The angles labeled with 2x, 4x, and 3x are on a straight line so their sum is equal to 180

2x + 4x + 3x = 180 add like terms

9x = 180 divide both sides by 9

x = 20

The angle represented with 3x - 30 and the angle represented with 2x + 10 are alternate and their measurement is same

3x - 30 = 2x + 10 export like terms to same side of the equation

3x - 2x = 10 + 30

x = 40

to find the angles replace x with the value found for each.

Answer:

D) Function f is odd

Step-by-step explanation:

There are three ways to solve this problem:

Method 1

Recall that a function is even if [tex]f(x)=f(-x)[/tex] and odd if [tex]-f(x)=f(-x)[/tex] for all x. Hence, we evaluate [tex]f(-x)[/tex] to check if the function is even, odd, both, or neither:

[tex]f(x)=-8x^5+4x^3+5x\\\\f(-x)=-8(-x)^5+4(-x)^3+5(-x)\\\\f(-x)=8x^5-4x^3-5x[/tex]

Here, we can see that the signs of the original terms switched to their opposite operations, so it is clear that [tex]-f(x)=f(-x)[/tex], which tells us that the function is odd.

Method 2

A function is odd if it has symmetry about the origin, and even if it has symmetry about the y-axis. We can clearly see on the graph there is origin symmetry, so the function is odd.

Method 3

A function is even if every term in that function has an even degree, or odd if every term has an odd degree. We can see that the degrees of each term are odd, so we can conclude that the function is odd.

Answer:

(b) 12.459 and (f) 7.65

Step-by-step explanation:

The value of 5 in 13.725 is 0.005 (or 5 in the thousandths place)

We need to find numbers with 10 times that value in the number.

Evaluating the options given :

(a) 5.368

(b) 12.459

(c) 57.31

(d) 6.508

(e) 4.315

(f) 7.65

Hence, the numbers are : (b) 12.459 and (f) 7.65

Answer:

b and f

Step-by-step explanation:

The 5 in 13.725 is in the thousandth place:  0.005

So three places after the decimal point.

If you multiply 0.005 by 10, then it becomes 0.05 (as multiplying by 10 moves the decimal point one place to the right).

Therefore, we are looking for numbers that have a 5 in the hundredth place, so a 5 in the second place after the decimal point.

There are two numbers that have a 5 in the hundredth place:

(b)  12.459

(f)  7.65

Answer:

-1 - 4 i

Step-by-step explanation:

5 - (2 * i) - (2 * (3 + i)) =

-1 - 4 i

The area of the smallest box that a circular pizza will fit into = 1661 squared cm.

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

The circular pizza requires the same amount of dough as the square pizza.

Area of the square pizza =40 cm * 40 cm

                                         = 1600 [tex]cm^{2}[/tex].

Area of circle= [tex]\pi\; r^{2}[/tex]

        1600     = 3.14 *[tex]r^{2}[/tex]

         [tex]r^{2}[/tex] = 510

        r= 22.58

       r = 23 cm approx.

Area of circle= [tex]\pi\; r^{2}[/tex]

                     = [tex]3.14 * (23)^{2}[/tex]

                     = 1661.06 squared cm

The area of the smallest box that a circular pizza will fit into = 1661 squared cm.

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According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.

In this question we must determine the lengths of the three sides of the triangle by Pythagorean theorem and then the area is determined by Heron's formula.

First, we determine the length of each side:

[tex]RS = \sqrt{(6-3)^{2}+(2-4)^{2}}[/tex]

[tex]RS = \sqrt{3^{2}+(-2)^{2}}[/tex]

[tex]RS = \sqrt{13}[/tex]

[tex]ST = \sqrt{(7-6)^{2}+(10-2)^{2}}[/tex]

[tex]ST = \sqrt{1^{2}+8^{2}}[/tex]

[tex]ST = \sqrt{65}[/tex]

[tex]RT = \sqrt{(7-3)^{2}+(10-4)^{2}}[/tex]

[tex]RT = \sqrt{4^{2}+6^{2}}[/tex]

[tex]RT = \sqrt{80}[/tex]

Now we calculate the area of the triangle by Heron's formula:

[tex]s = \frac{\sqrt{13}+\sqrt{65}+ \sqrt{80}}{2}[/tex]

s ≈ 10.306

[tex]A = \sqrt{10.306 \cdot (10.306 - \sqrt{13})\cdot (10.306 - \sqrt{65})\cdot (10.306 - \sqrt{80})}[/tex]

A ≈ 14.525

According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.

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The solution to this equation is p = -6

First degree equation is a mathematical expression and sentence, which is defined by having only one unknown. Its representation is given by: ax+b=0.

— To solve this expression, let's eliminate these square root symbols:

√-5p = √24-p

-5p = 24 - p

— Move the p term before the positive sign equality, thus also shifting the 24th term:

-5p = 24 - p

-5p + p = 24

-4p = 24

— Finally, let's divide the second to the first term of this equation:

-4p = 24

p = 24 ÷ (-4)

p = -6

Therefore, the correct result of this expression will be p = -6

Answer:

D. As the x-values go to positive infinity, the function's values go to positive infinity.

Step-by-step explanation:

the answer on edge 2022

As the x-values go to positive infinity, the function's values go to positive infinity. The correct option is D.

A function is a mathematical formula that describes how the dependent variable and independent variable are related. The dependent variable's value varies in the function together with the independent variable's value.

The correct option is D that as the x-values go to positive infinity, the function's values go to positive infinity.

In mathematics, a function is a rule that gives each input value in a set a distinct output value. A function is, more precisely, a collection of ordered pairs (x, y), where each x-value is matched with precisely one y-value.

The variable x normally represents the input values, also known as the independent variable, while the variable y typically represents the output values, also known as the dependent variable. Typically, a symbol like f(x), where f is the function's name and x is the input variable, is used to represent a function.

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Answer:

Goodluck and look at the pic

The end behavior of the function is:

So the correct statement is the second one.

For a function f(x), the end behavior is how f(x) behaves when:

If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.

Then the end behavior is:

So the true statement is the second one.

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Answer:

Step-by-step explanation:

The problem is concerned with angles 4 and 5, which lie between the lines given as parallel. They are on opposite sides of the line cutting across those parallel lines (the transversal), so they are ...

__

Being congruent angles, their measures are ...

_____

Additional comment

For questions like this, there are many descriptions that are true. It would be helpful to know the possible answer choices.

Answer:

The solution set is {-6, -2}.

Step-by-step explanation:

x^2 + 8x + 15 = 3

x^2 + 8x = -12

Completing the square:

(x + 4)^2 - 16 = -12

(x + 4)^2 = 4

Taking square roots of both sides:

x + 4 =  +/- 2

x = 2 - 4 = -2  or x = -2-4 = -6.

Answer:

Step-by-step explanation:

E= 10/11 f=-5/9 G=4/10 H=-8/12

Answer:

[tex]\frac{93458}{19435}[/tex] ≈ 4.81

Step-by-step explanation:

[tex]\frac{93458}{19435}[/tex] can not be simplified

Answer: The answer is three

Step-by-step explanation: