Answer:
The prime factorization of 14 is 2 x 7.
Step-by-step explanation:
The prime factorization of 14 is 2 x 7.
Answer:
14 is a composite number
Step-by-step explanation:
I will give you brainlest if you are the first one to answer(and the best)
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
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.
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!
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.
__
stepsannual 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.
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?
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
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?
area of rectangle 5 7/8km x 18/4km
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.
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
I need help asap!!!!!!!!!
b) How many more 18-year
old students than 12-year
old students spent
between 25 and 35 mins
on social media?
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?
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.
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.
Answer:
THE ANSWER IS A
Step-by-step explanation:
CORRECT IF I WRONG
1) - 6z+2+3= 15
How do I solve this question
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.
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~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
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!
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)
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?
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
Inequalitydata;
4 < 711 > - 2-4 < - 2-8 < 8In 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.
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.
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
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.
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?
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 ⇒ 36πLet'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?
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.
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
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?
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