Answer:
GCF is 6
Step-by-step explanation:
42 :
2 | 42
3 | 21
7 | 7
| 1
; 42 = 2 x 3 x 7
96 :
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
; 96 = 2 x 2 x 2 x 2 x 2 x 3
here, common factors are 2 x 3 = 6
Hence, the GCF of 42 and 96 is 6.
Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.
9514 1404 393
Answer:
8,500 units
Step-by-step explanation:
The contribution margin from each unit is ...
$185 -121 = $64
To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...
($416,000 +128,000)/($64/unit) = 8,500 units
What is the value of x in this triangle?
56.51°
.58°
28.89°
33.49°
Answer:
x = 33.49°
Step-by-step explanation:
The relevant trig ratio is the sine:
Sin = Opposite/Hypotenuse
siin(x) = 32/58
The angle measure is found using the inverse function:
x = arcsin(32/58) ≈ 33.49°
Answer:
i got 32 is it 32 cause i put 33 cause it was closer
Step-by-step explanation:
What is 10 1/2 divided by 2 1/4
Answer:
14/3 or 4 2/3
Step-by-step explanation:
10 1/2 => 21/2
2 1/4 => 9/4
21/2 divided by 9/4
(Keep, Change, Flip)
21/2 * 9/4
Cross Simplify = 21 becomes 7 and 9 becomes 3. 2 becomes 1 and 4 becomes 2.
7/1 *2/3 = 14/3 = 4 2/3
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions.
a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor?
b. For 95% confidence, determine the margin of error (+ lbf)
c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators?
d. lbf) if 50 insulators were tested.
Answer:
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.
Step-by-step explanation:
SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4
answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.
answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5
Ali has q quarters. Tom has four more quarters than Ali.
Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.
Response area + Response area
Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it
i need help with 2-5 in solving it.
Answer:
I can recommend you searching onlime
What is the approximate length of arc s on the circle below? Use 3.14 for r. Round your answer to the nearest
tenth
Answer:6.3 i believe
Step-by-step explanation:
Answer:
6.3
Step-by-step explanation:
circumference = 2πr
arc length = (included angle/360) * circumference
as an equation
s = (θ/360) * 2πr
s = (θ/180)πr
---------------------------
θ = 45
r = 8
s = (45/180) * 3.14 * 8
s = 6.28
rounded
s = 6.3
Solve the quadratic by factoring: 3x^2+36x+33=0
Answer:
= − 11
Step-by-step explanation:
Given the following list of data, what is the five-number summary?
10, 12, 13, 13, 14, 16, 16, 18, 18, 18, 18
Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. a. How many business owners in the survey plan to provide a holiday gift to their employees this year
The business owners that would provide a holiday gift to their employees this year is 21.
Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.
In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.
35% x 60
0.35 x 60 = 21 people
To learn more about percentages, please check: https://brainly.com/question/92258
Can someone write the equation of the line that passes through the points ( -3, 2) and ( -1, 6)? I suck at math and need help.
Answer:
Y=2x+8
Step-by-step explanation:
Plot points on graph and connect with line. Find slope and y intercept
Simpson office furniture pays Tom Russell a $2490 monthly salary plus a 9% commission on merchandise he sells each month .Assume Tom's sales were $88,000 for last month.
Answer:
Amount Tom was paid for his sales last month 88,000 x9%= $7920.00
Step-by-step explanation:
What is the solution to the following equation?
2(3х – 7) + 18 = 10
Answer:
x = 1
Step-by-step explanation:
2(3x - 7) + 18 = 10 ( subtract 18 from both sides )
2(3x - 7) = - 8 ( divide both sides by 2 )
3x - 7 = - 4 ( add 7 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
(1/2)power 5=?? please help with this one
Answer:
2.2360679774998
Step-by-step explanation:
How many numbers are prime between 40 and 50?
Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
How many solutions does the system of equations below have? (PLEASE HELP)
y=−9x−2
y=−9x−2
Answer:
y= -54-2
y= -56 &
x= -54/ -9
x= 6
Step-by-step explanation:
y= -9x-2
-9x= y+2 divide bothe side by -9
x=y+2/-9
y= -9(y+2/ -9) -2 = (y+2)-2
y= -2(y+2)
y= -2y-4
y+2y= -4
3y= -4 divide bothe side by 3
y= -4/3
x=y+2/ -9
x= -4/3+2/-9
x= -2/3× -9
x=18/3
x=6
Which ratio is equivalent to the given ratio? 8: 16 Select each correct answer. 16/31 1/3 1/2 12/24
[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]
Answer:
1/2. and 12/24
they are both halves just as the ratio is half of the given number
write this number in expanded form three hundred thirty nine thousand six
Answer:
339,006
Step-by-step explanation: i think
Answer:
300,000 + 30,000 + 9,000 + 6
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
=
A student earns $11 per hour for tutoring and $9 per hour as a teacher's aid. Let x = the number of hours each week spent tutoring and y = the number of hours each
week spent as a teacher's aid.
Complete parts (a) through (e)
a. Write the objective function that describes total weekly earnings
Answer:
Total weekly earning = 11x + 9y
Step-by-step explanation:
(a) 11x + 9y = Total weekly earning
The required objective function is 11x + 9y which describes the total weekly earnings.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
We have been given that a tutor makes $11 per hour while a teacher's aide receives $9 per hour.
Let's assume that x represents the number of hours each week spent tutoring and
y represents the number of hours each week spent as a teacher's aide.
According to the given information, we can write the linear function would be as:
⇒ 11x + 9y
Therefore, the required objective function is 11x + 9y which describes the total weekly earnings.
Learn more about the Linear functions here:
https://brainly.com/question/13738061
#SPJ2
Please help, geometry hw
Step-by-step explanation:
use SOHCAHTOA as shown above in the picture
Fiill in the table using this function rule. Y=-3x+3
Answer:
3(x+1)
Step-by-step explanation:
solve pls brainliest
answer I think it
21/16
hop it helps
pls pls help i’ll mark brainliest quickly!!!
Part A: The number of cubic feet of water, y, in a pool 2 hours after the water starts flowing into the pool is a linear function. The points (40,3000) and (60,4000) lie on the line of the function. Calculate the slope of the line.
Part B: What does the slope of the line represent in Part A? Explain in your own words and use compete sentence.
Part C: Explain how the slope formula is related to the definition of slope. Use complete sentences.
Answer:
m=50
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS
Algebra I
Slope Formula:
Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
nos
5. In the diagram above, zero represents the location of Martin Luther King Middle School Point K represents the
library, which is located to the east of the middle school. In words, create a real-world situation that could
represent point L, and describe its location in relation to 0 and point K.
Answer:
1/12
Step-by-step explanation:
There are integers that are not rational
numbers, true or false?
Answer:
integers are always rational. They don't include decimals
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
All integers are rational numbers, since they can be expressed as a ratio (fraction) with a denominator of 1.
Find the equation of the normal to the curve y=x+x-2 at the point x = 2.
Answer:
(2,1)
Step-by-step explanation:
I realized that this was our own electric light for us to turn on and off as we pleased. I pushed a chair under it and after some instruction from my mother proceeded to create lightning in the room by turning the switch as fast as I could. After reading the passage from Barrio Boy, describe how the author uses connotations and figurative language to make his experience come to life.
NEED ANSWERS SOON AS COULD
What is the inverse of this function? f(x)=x−7
Answer:
f^−1(x) = x + 7Step-by-step explanation:
Replace f(x) with y. y = x − 7
Interchange the variables. x = y − 7
Solve for y. y = x + 7
Solve for y and replace with f^−1 (x). f^−1(x) = x + 7
I hope this helps have a great day :)
What is the equation of this line?
y= 1/2+2
y = 2x + 2
y= 1/2x-2
y = 2x - 2
HELP ME PLEASEEE ILL GIVE BRAINLIEST
Answer:
y=2x-2
You use rise/run in this problem