Write an expression that is equivalent to 3/4 (5z+16).

A.15/4 z + 16

B.15/4 z + 12

C.3/4 z + 16

D.3/4 z + 12

Answer:

A complex number will, in general, have five(5) fourth complex roots.

Step-by-step explanation:

We know that the nth complex roots of unity are graphically represented on a unit circle such that there are a total of n roots located at a distance by an angle of

Hence, here we are asked to find the number of complex roots of fifth complex roots.

                   i.e. n=5

           Hence, we have five(5) fifth complex roots.

Answer:

6 inches

Step-by-step explanation:

Solving

Width of the hat

Answer:

6.00 in (nearest hundredth)

Step-by-step explanation:

Lateral surface area = surface area excluding the bases(s)

Lateral surface area of a cone = [tex]\pi rs[/tex]

(where r is the radius and s is the slant height)

Given:

[tex]\implies 66= \pi r \cdot 7=7 \pi r[/tex]

[tex]\implies r=\dfrac{66}{7 \pi}[/tex]

The width of the hat is the diameter.  As diameter = 2r:

[tex]\begin{aligned}\implies \textsf{width} & =2 \cdot \dfrac{66}{7 \pi}\\\\ & =\dfrac{132}{7 \pi}\\\\ & = 6.00\: \sf in\:(nearest\:hundredth)\end{aligned}[/tex]

Answer:

The Height is 15in

Step-by-step explanation:

V=L.W.H

300=10x2xH

300=20xH

300/20=H

H=15in

Answer:

Sample Space

Step-by-step explanation:

Answer:

○ C

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}[/tex]

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}[/tex]

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

Answer:

7

Step-by-step explanation:

3/10+4/10 =7/10

Answer:

7/10, or 70%

Step-by-step explanation:

You just add the fractions together and get 7/10. You could also find a common denominator and the add them together. You would do, 9/30+ 12/30= 21/30, or 7/10.

Answer: The answer is 18 bread pieces

Step-by-step explanation:

SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs

Step-by-step explanation:

5x + 80 = 180

x = 20

2x = 40

3x=60

7x=140

Add the amount it was reduced to the new price:

3.49 + 31.38 = 34.87

Original price = $34.87

Answer:

When finding the unknown original price, add the sale reduction to the new sale price to get the old sale price.

[tex]3.49 + 31.38 = 34.87[/tex]

Therefore, the original sales price was 34.87

[tex]\frac{2}{13}[/tex]

Probability is finding the chance that some specific outcome will occur. In this case, we are looking for the probability of one of two outcomes.

Equally Likely Outcomes

When drawing a card from a well-shuffled deck, all outcomes (cards) are equally likely to be drawn. Each card was a 1/52 probability of occurring.

Probability of Two Outcomes

In a deck of cards, there are 4 cards of each number. This means that the probability of drawing a 2 is 4/52, the same for a queen.

So, to find the probability of one of the two desired outcomes is equal to adding the probabilities together.

This fraction can then be simplified further:

Answer:

[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = \infty[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3)[/tex]

Step 2: Evaluate

Recall that x⁵ is a "faster" function than x³. Also recall that we have 2 negatives, which would turn positive. Therefore, we can ignore the 2nd part of the limit and focus on the first:
[tex]\displaystyle \begin{aligned}\lim_{x \to -\infty} (-7x^5 + x^3) & = -7(- \infty)^5 + (- \infty)^3 \\& = -7(- \infty)^5 \\& = -7(- \infty) \\& = 7(\infty) \\& = \boxed{\infty} \\\end{aligned}[/tex]

∴ we have found the limit to equal infinity.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

The appropriate null and alternate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

From the question, we understand that:

The proportion of reports that have their cars stolen is given as 10%

Null hypothesis is represented with the equality sign.

So, the null hypothesis is H0: p = 0.10

The alternate hypothesis is represented with the unequal sign.

So, the alternate hypothesis is H1: p ≠0.10

Hence, the appropriate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

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Answer:

400 visitors were there for 65 and over

Step-by-step explanation:

20÷100×2000

20÷100=0.2

0.2×2000=200

hope it will help you

Answer:

72 miles ....then she snored off

Step-by-step explanation:

18 % of 400  = .18 * 400 =  72 miles

The values that are required to complete the table above indicating the distance traveled by the tortoise in the time elapsed are calculated below.

Mathematically, the distance traveled by the tortoise would be calculated by using this formula:

Distance = speed (rate) × time

When time = 1 min, we have:

D₁ = 20 × 1

D₁ = 20 meters.

When time = 2 min, we have:

D₂ = 20 × 2

D₂ = 40 meters.

When time = 3 min, we have:

D₃ = 20 × 3

D₃ = 60 meters.

When time = 4 min, we have:

D₄ = 20 × 4

D₄ = 80 meters.

When time = 5 min, we have:

D₅ = 20 × 5

D₅ = 100 meters.

When time = 6 min, we have:

D₆ = 20 × 6

D₆ = 120 meters.

When time = 7 min, we have:

D₇ = 20 × 7

D₇ = 140 meters.

When time = 10 min, we have:

D₁₀ = 20 × 10

D₁₀ = 200 meters.

When time = 15 min, we have:

D₁₅ = 20 × 15

D₁₅ = 300 meters.

When time = 20 min, we have:

D₂₀ = 20 × 20

D₂₀ = 400 meters.

When time = 25 min, we have:

D₂₅ = 20 × 25

D₂₅ = 500 meters.

When time = 30 min, we have:

D₃₀ = 20 × 30

D₃₀ = 600 meters.

When time = 35 min, we have:

D₃₅ = 20 × 35

D₃₅ = 700 meters.

When time = 40 min, we have:

D₄₀ = 20 × 40

D₄₀ = 800 meters.

When time = 50 min, we have:

D₅₀ = 20 × 50

D₅₀ = 1,000 meters.

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Answer:

The sum of the numerators is incorrect.

The one where -1/2 is the final answer.

Step-by-step explanation:

-5/8 + 1/8 does equal (-5 + 1)/8. However, -5 + 1 is not equal to -6. It is equal to -4. -4/8 would simplify down to -1/2, which is the correct answer.

The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.

Your information is incomplete. Therefore, an overview will be given.

Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:

H = (2 × V) + 3

H = 2V + 3

In conclusion, the equation is H = 2V + 3.

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The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The measure of the ∠B=29.5°.

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]

where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,

Sin B is the angle and β is the length of the side of the triangle opposite to angle B,

Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

Given that sides a=10, b=5 and the measure of the ∠A=100°. Therefore, the using the sine law,

[tex]\rm \dfrac{Sin\ A}{a} = \dfrac{Sin\ B}{b}[/tex]

[tex]\rm \dfrac{Sin\ 100^o}{10} = \dfrac{Sin\ B}{5}\\\\\rm \dfrac{(Sin\ 100^o) \times 5}{10} = Sin\ B\\\\Sin\ B = 0.04924\\\\\angle B = 29.498^o \approx 29.5^o[/tex]

Hence, the measure of the ∠B=29.5°.

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Answer:

25

Step-by-step explanation:

you subtract the highest number

Answer:

The "range" of a set of numbers is just the difference between the biggest number and the smallest number. (The maximum "far-apart-ness" of the scores).

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Answer:

a and d are both true. The rest are not.

Step-by-step explanation:

1 and 6 are like terms. They are both integers. They can be combined. This statement is true.

7 is a numerical coefficent. This statement is true.

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

The others are all false for one reason or another

b is false. The factor is made up of 2 terms not 3. 7a is one term.

c is false. "a" is a variable. So the whole term can be anything.

e is false. 7a + 2 is a factor

f is false. There are two true statements.

Answer:

i think it is 2.1

Answer:

hope this is what you ask for and i hope it helps

Step-by-step explanation:

Answer:

V = π 12²h because i dont know where 6² came from.

just go with either 3 or 4.

Answer:

A)  $40 total interest

B) $440

Answer:

5xsquared+x+5

Step-by-step explanation:

first combine x squared with 4x squared and you will get 5xsquared.

next combine 6x and -5x and you will get 1x or just simply x. Finally combine 3 and 2 (3+2) = 5.