Which of the following statements are true?


The prime factorization of 21 is 3 x 7.
The LCM of 14 and 21 is 42.
The prime factorization of 14 is 2 x 7.
14 is a composite number.
21 is a prime number.
The GCF of 14 and 21 is 14.

Answers

Answer 1

Answer:

The prime factorization of 14 is 2 x 7.

Step-by-step explanation:

The prime factorization of 14 is 2 x 7.

Answer 2

Answer:

14 is a composite number

Step-by-step explanation:


Related Questions

I will give you brainlest if you are the first one to answer(and the best)

Answers

Answer:

4 kg

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Add to find total mass:

2.5 + 3.5 + 3.5 + 5 + 5.5 = 20

Since there is a total of 5 bags and want to evenly distribute divided by 5,

20 / 5 = 4

change 35:14 to a decimal number

Answers

Answer:

35/14 as a decimal = 2.5 · 35/14 in decimal form = 2.5 · Thirty-five fourteenths as a decimal = 2.5 · 35 over 14 as a decimal = 2.5

Determine if the following angles are congruent. What theorem proves them to be congruent. Explain your reasoning.

Answers

Answer: AAS

Step-by-step explanation:

We know that [tex]\angle TSN \cong \angle HSU[/tex] because they are vertical angles, meaning the triangles are congruent by AAS.

Ali takes a full-time position as a makeup artist in Atlanta. Her starting salary is $29,000. Her taxes are 28%. What is her net monthly income?
a. $2,416
b. $3,840
c. $2,088
d. $1,740
I couldn't find the answer to this question when I really needed it, so I did the work myself and got D as the answer. I ended up getting it right because you divide 29,000 by 12, then multiply the answer (2416) by 28%, which gives you the answer, D, 1740. Hope that helped!

Answers

Answer:

  d.  $1,740

Step-by-step explanation:

The annual after-tax salary is found by subtracting the tax from the salary. The tax is found by multiplying the tax rate by the salary. The monthly after-tax income is 1/12 of the annual after-tax income.

__

steps

  annual tax = 0.28 × $29,000 = $8,120

  annual take-home pay = $29,000 -8,120 = $20,880

  monthly take-home pay = annual pay / months per year

  = $20,880 / 12 = $1,740 . . . . net monthly income

_____

Additional comment

The net pay will be (1 - 0.28) = 0.72 times the nominal salary. The monthly pay will be 1/12 of the annual pay. These combined factors give a monthly net pay of (0.72)(1/12) = 0.06 times the annual pay.

  0.06 × $29000 = 6×$290 = $1740

If a hot air balloon pilot inflates the balloon at an average wind speed of about 5 miles per hour with an altitude of 35,000 feet, how fast will the radius of the balloon increase as it goes up higher and higher performing certain tricks? Using the differentiation formula applicable for this situation, estimate the speed of inflation and the speed of landing. Will this be able to help the pilot still perform other tricks before making a colorful landing? Give at least two comprehensible reasons and explain your answer.​

Answers

700 is not to 100%sure

The speed of landing is 15.69 ft/sec.

What is differentiation ?

"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.    

The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."

Let the length of the rope = r

Height of the balloon = h

we are given dr/dt = 15ft/sec

at any time t we know:

[tex]r = 125 + 15*t[/tex]

By the Pythagoras theorem we know:

[tex]h^2 + 125^2 = r^2[/tex]

We have to find dh/dt at time t = 20 sec

[tex]d/dh(h^2 + 125^2) = d/dt(r^2)[/tex]

By chain rule:

[tex]d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt[/tex]

[tex]= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15[/tex]--------------------- at time t = 2

=15.69 ft/sec

Hence dh/dt = 15.69 ft/sec

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EASY POINTS Which of the following best describes DG?

Answers

Answer:

A. median

Step-by-step explanation:

the median is the middle of the shape :)

Find the surface area of the prism.
mi
8 mi
8/12 mi
The surface area is
square miles.
112

Answers

Answer: 433.5 square miles or 433 1/2 square miles

Step-by-step explanation

[tex]SA = 6x^{2}[/tex]

[tex]SA = 6 *(8.5)^{2} \\\\SA = 6*72.25\\\\SA = 433.5[/tex]

Yesterday I ran less than 5 kilometers but more than 1200 meters. How far could I have run?

Answers

You could have ran 418.41 km.

area of rectangle 5 7/8km x 18/4km

Answers

Answer:

if ur in college then how do u not know this

Step-by-step explanation:

use ur brain

vertex (3,-2) and y-intercept (0,7).
Write your answer in this form: (X₁,Y1), (X2,2).
If necessary, round to the nearest hundredth.
Enter the correct answer.

Answers

Answer:

3±√2/3 = x

Step-by-step explanation:

As you already have the vertex, the equation for this is y = a(x – h)^2 + k,

so by plugging all this in using the vertex coordinates, you get y = 3(x - 3)^2-2, so, if you divide everything by three you get 2/3 = (x - 3)^2

This means that the two x-intercepts are:

Please help I cannot find this question

Answers

Answer: B

Explanation:
f(x) = f(a+2)
So simply sub a+2 in for x in the equation.
f(a+2)=3(a+2) + 5/a+2

I need help asap!!!!!!!!!

Answers

What are the options? It seems as if it’s going in a positive correlation

b) How many more 18-year
old students than 12-year
old students spent
between 25 and 35 mins
on social media?

Answers

The number if 18-year old 12-year old students that took part in the survey is 320.

The number of more 18-year old students than 12-year old students that spent between  25 and  35 mins on social media is 20.

What is the survey about?

Looking at the survey chart one can see that the total number of 18year old that partook of the survey are:

30 + 20 + 60 + 70 + 40 + 60 + 40

= 340

From the diagram , 18 year old = 60

                                 12 year old = 40

The differences will be:

= 60 - 40

= 20

Therefore, The number if 18-year old 12-year old students that took part in the survey is 320 and  the number of more 18-year old students than 12-year old students that spent between  25 and  35 mins on social media is 20.

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what does 7,124 ÷ 26 equal to?

Answers

274

hope that helps

:D

btw i used long division

In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°. Find the length of z, to the nearest centimeter.

Answers

The value of side z will be equal to 99.32 cm.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

Given that:-

In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°

So by applying the formula given below:-

z²   =   x²  +  y²  -  2xyCos(142)

z²   =   79²  +   27²   -  2 ( 79 x 27  x  Cos142  )

z    =    99.32  cm

Hence the value of side z will be equal to 99.32 cm.

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PLEASE HELP 50 POINTS
The total leaf mass of a certain species of young plant saplings is approximately normally distributed with a mean of 14.2 grams and a standard deviation of 0.5 grams.
a. What is the probability of obtaining a randomly chosen plant sapling with a total leaf mass of more
than 15 grams?
b. Identify the leaf mass that would represent the 99th percentile.

Answers

Answer:

THE ANSWER IS A

Step-by-step explanation:

CORRECT IF I WRONG

1) - 6z+2+3= 15
How do I solve this question

Answers

Hi student, let me help you out! :)

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

We are asked to solve the equation [tex]\mathrm{-6z+2+3=15}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The goal is to isolate x.

Notice that we can add 2+3 right off the bat:

[tex]\star~\mathrm{-6z+5=15}[/tex]

Subtract 5 from both sides of the equal sign:

[tex]\star~\mathrm{-6z=10}[/tex]

Divide both sides by -6:

[tex]\star~\mathrm{z=\cfrac{10}{-6}}[/tex]

Simplify!

[tex]\star~\mathrm{z=-\cfrac{5}{3}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 3 1/2 meters deep. What is its volume? in cubic meters

Answers

Answer:

761.25 m³

Step-by-step explanation:

l = 15 , w = 14.5 , h = 3.5

Volume of a rectangular prism is given by the formula :

V = lwh

V = 15 × 14.5 × 3.5

V = 761.25

Units will be m³

I am attaching an image for visual understanding

Hope this helped and brainliest please.

PLEASE HELP! ITS DUE SOON IM SO CONFUSED SOMEONE PLEASE HELP ME!

Answers

Answer:

40.6°

Step-by-step explanation:

formula of area of triangle

1) √[(s)(s-a)(s-b)(s-c)] , s= (a+b+c)/2

2) 1/2ab sin c

calculate the area first

s= (9.6+6.3+8.1)/2

=12

area= √[(12)(12-9.6)(12-6.3)(12-8.1)]

= √640.224

= 25.3026

1/2(9.6)(8.1) sin c = 25.3026

sin c = 25.3026(2)/(9.6*8.1)

sin c = 0.6508

c = sin-¹ 0.6508

c = 40.6 (nearest tenth)

What is the midpoint between (8,-5) and (2,-2)?
O (3,-1.5)
O (10,-7)
O (5, -1.5)
O (5,-3.5)

Answers

Answer:

O (5,-3.5)

Step-by-step explanation:

Directions: Follow the instructions for the following inequalities. 1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10 2. 11>-2 Add 5 to both sides, then add 3, then add (-4) 3. -4<-2 Subtract 6 from both sides, then 8, and then 2 4. -8<8 Divide both sides by -4, then by -2 5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answers

In the given question, we have to perform this experiment and test if the inequality is true or not.

Adding the same value to both sides of the inequality will not change the inequality sign

Inequality

data;

4 < 711 > - 2-4 < - 2-8 < 8

In the first case, we would do follow the process

[tex]6 * 7 * 4 < 7 * 7 * 6\\168 < 294[/tex]

In the second case;

[tex]11 > - 2\\\\5 + 11 > -2 + 5\\3 + 16 > 3 + 3\\4+ 19 > 6 + 4\\23 > 10[/tex]

In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.

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Jessie is painting a cardboard box for a school project and needs to know much paint she needs to cover the box.
6n
10 in.

Answers

Answer:

incomplete question

Step-by-step explanation:

in order to calculate for the surface area of a rectangular box we would need 3 measurements:
length
width
height

you only provided 2

Please pick one of the options.

Answers

9880 different possibilities are there in Sally's new combination option second 9880 is correct.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Total unique numbers consists in a Sally locker = 3

From the digits 0 to 39

Total numbers = 40

Apply combination formula:

= C(40, 3)

= 40!/(3!37!)

= 9880

Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.

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C= 5/9(F-32)
urgent!!! will give 50 points

Answers

Answer:

25°

Step-by-step explanation:

hope it helps you solve the question

A circle has a radius of 7 in. Find the radian measure of the central angle 0 that intercepts an arc of length 15 in. Do not round any intermediate computations, and round your answer to the nearest tenth.​

Answers

The measure of the central angle is 2.15 radians if the radius of the circle is 7 in.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The radius of the circle = 7 in

Arc length = 15 in

We know,

s = rθ

s is the arc length, θ is the central angle, and r is the radius of the circle.

15 = 7θ

θ = 15/7

θ = 2.142 radians ≈ 2.15

Thus, the measure of the central angle is 2.15 radians if the radius of the circle is 7 in.

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help what is
thr circumference of a circle is 36π cm
what is the radius of teh circle?

Answers

Let's consider the relationship between the circumference and the radius:

 ⇒ first, consider the equation for finding the circumference

      [tex]Circumference = 2\pi *radius[/tex]

Let's consider the known information

Circumference ⇒ 36π

Let's plug the known information to find the radius:

  [tex]Circumference = 2\pi *radius\\36\pi =2\pi *radius\\radius = 18[/tex]

Thus the radius is 18 cm

Answer: 18 cm

Hope that helps!

Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below. Based on the AFN equation, what is the AFN for the coming year?

Answers

Based on the AFN equation, the AFN for the coming year will be -$16000.

How to calculate the AFN?

Last year's sales =$200,000

Sales growth rate = g = 40%

Forecasted sales = S0 × (1 + ) = 280,000

∆S = change in sales = S1 − S0 = $80,000

Last year's total assets = A*0 = A*0 since full capacity $135,000

Forecasted total assets = A*1 = A*0 × (1 + g) = $189,000

Last year's accounts payable = $50,000

Last year's accruals= $20,000

L*0 = payables + accruals = $70,000

Profit margin = M = 20.0%

Target payout ratio = 25.0%

Retention ratio = (1 − Payout) = 75.0%

AFN = (A*0/S0)ΔS – (L*0/S0)ΔS – Margin × S1 × (1 − Payout)

AFN = $54,000 – $28,000 – $42,000

= -$16,000

The complete question goes thus:

Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below.

Last year's sales = $200,000

Sales growth rate = 40%

Last year's accounts payable = $50,000

Last year's notes payable = $15,000

Last year's accruals = $20,000

Based on the AFN equation, what is the AFN for the coming year?

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I will mark brainliest!
Graph the line that represents a proportional relationship between Y and X where the UNIT RATE of change is Y with respect to X is 4/5. In other words, a change of 1 unit in X corresponds to a change of 4/5 units in Y.

Answers

Answer:

see below    

Step-by-step explanation:

Just graph           y = 4/5 x

Are these numbers rational or irrational? -7 √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational​

Answers

Step-by-step explanation:

remember what a rational number is ?

any number that can be expressed by a/b, with a and b being integer numbers, and b different to 0.

so,

-7 = -7/1 rational

sqrt(10) irrational, because there is no rational number that multiplied by itself is 10.

sqrt(16) = sqrt(4×4) = 4 = 4/1 rational

52% = 52/100 rational

1.235 = 1235/1000 rational

A restaurant chef wants to install a new floor in her kitchen. The kitchen measures 8 meters wide and 11 meters long, and the flooring costs $8.71 per square meter. How much will the chef's new floor cost?

Answers

Answer:

$766.48

Step-by-step explanation:

area = length × width

area = 11 m × 8 m = 88 m²

cost = 88 m² × $8.71/m²

cost = $766.48

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