Answer:
3
Step-by-step explanation:
Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
So, here, we have [tex]\frac{13^{10}}{13^7}[/tex] , so we subtract 7 from 10:
[tex]\frac{13^{10}}{13^7}=13^{10-7}=13^3[/tex]
Thus, 3 should go in the box.
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a
Answer:
disproportionate stratified sample
Step-by-step explanation:
Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
Solve for x
4x + 188
6x+216
Need help Pronto! Will give braintliest.
Answer:
b
Step-by-step explanation:
Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).
Answer:
y = x - 5
Step-by-step explanation:
Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.
In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:
-11 = -6 + b
Then b must be -5, and so the desired new equation is
y = x - 5
Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve.
Answer:
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Step-by-step explanation:
Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.
Let t be tomatoes and b be bell peppers
The proportion will be:
t:b
The ratio of tomatoes to bell pepper will be:
6:2
This ratio simplifies to 3:1
This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.
Now the bell peppers are 1.5 cups then the proportion will be:
[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]
Hence,
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
What is the solution to this equation 2x + 10 equals 28
Answer:
X=9
Step-by-step explanation:
2X+10=28
-10 -10
2X=28
DIVIDE BOTH SIDES BY 2
In the image...i showed the work
I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?
Answer:
After the passage of a month, the interest that Tori must pay will be $ 4.81.
Step-by-step explanation:
Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:
12 = 21
1 = X
21/12 = X
1.75 = X
((300 - 25) x 1.75 / 100) + 300 = X
4.81 + 300 = X
304.81 = X
Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.
What is the value of t in this situation 2t+5=2t+5
Answer:
t = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2t + 5 = 2t + 5
Step 2: Solve for t
Subtract 5 on both sides: 2t = 2tDivide 2 on both sides: t = tHere we see that t does indeed equal t.
∴ t = infinite amount of solutions
Please give me the correct answer
The price of a television was increased from $200 to $250. By what percentage was the price of the television increased
Answer:
20%
Step-by-step explanation:
cuz quick meths
Select two ratios that are equivalent to 2:9
Choose 2 correct answers 40 points
Answer:
4:18 6:27 8:36
Step-by-step explanation:
What is 0.612 repeating (meaning the repeating line is over 612) as a fraction
Answer:
[tex]\frac{612}{999}[/tex]
Step-by-step explanation:
To convert repeating decimals to fractions, you take the numbers that are repeating, in this case 612, and you see how many numbers are repeating. Here we have 3 numbers repeating and so you would divide 612 by 3 9's meaning 999. So 0.612 repeating is equal to [tex]\frac{612}{999}[/tex]. To make sure the answer is right, you can divide the numbers in a calculator to make sure you get the correct decimal.
in a packet or Skittles there are, 40 Skittles,30 are red how many Skittles are not red
Answer:
10
Step-by-step explanation:
hope this helps ")
is 42x - 56y equivalent to 42 (x + 14y)
Answer:
No
Step-by-step explanation:
42x+588
what is 30 percent of 64?
Answer:
19.2
Step-by-step explanation:
I did the math by dividing the percentage and total
n ÷ -6 = 4 - (-2)
-12
36
-36
12 ********************************
Answer:12
Step-by-step explanation:
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Fill in the blank to find the y-intercept of-x+2y=10
please help me with this will give brainliest to best answer
Answer:
this may sound crazy but its A,B,C,D
Step-by-step explanation:
they not in the boundaries 0f 5 to 0 or -2 to 0
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
What is the range in interval notation?
Answer:
The blue box
Step-by-step explanation:
Youre talking about range which takes place on the y-axis (domain is the x-axis).
The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.
5.
3x3 + 2y2 - xy for x = 2 and y = 3
Answer:
21
Step-by-step explanation:
Tell whether each sentence about the factors of of 12 is True or False.
A. Allthefactorsof12are2,3,4,6,12.
B. 1 and 12 are a factor pair.
C. 120isafactorbecause10x12=120.
D. An array showing the factor pair of 3 and 4 would have 3 rows of 4 objects.
☐ True ☐ True ☐ True ☐ True
☐ False ☐ False ☐ False ☐ False
Answer:
A. True, 1 is always a factor too but It wasn't included there
B. True
C. True
D. False, it makes no sense.
Step-by-step explanation:
Have a nice day
PLSSSS HELP WILL MARK BRAINLIESTTT
QUESTION 15
y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(
Answer:
Step-by-step explanation:
Vertex
Find the area of a circle with diameter 12 m.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
113.04m²
Step-by-step explanation:
Area of circle: [tex]\pi[/tex] × r²
Radius = [tex]\frac{diameter}{2}[/tex]
We can just apply the formula to the question:
Area of circle = 3.14 × ([tex]\frac{12}{2}[/tex])²
= 3.14 × 36
= 113.04m²
8(0.25n-2)+n=-0.5(8-4n)
HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?
19 + 0.75n <50
19 + 0.75, n , <50
38 + 0.75n <50
38 + 0.75, n , <50
19 + 0.75n ≤50
19 + 0.75, n is less than or equal to, 50
38 + 0.75n ≤50
Answer:
bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')
Step-by-step explanation:
There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the black bag?
Answer:
108
Step-by-step explanation:
Answer:
108 cubes
Step-by-step explanation:
9 times 12 equals 108
9 • 12 = 108 cubes
You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out
Answer:
the average times per week that college students across the nation eat out lies within these 95% confidence interval
[tex] 3.938 < \mu < 4.062 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1501
The sample mean is [tex]\= x = 4[/tex]
The standard deviation is [tex]\sigma = 1.5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{1.5 }{\sqrt{1501} }[/tex]
=> [tex]E = 0.06196 [/tex]
Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]4 -0.06196 < \mu < 4 + 0.06196[/tex]
=> [tex] 3.938 < \mu < 4.062 [/tex]
Hence the true average times per week that college students across the nation eat out lies within this interval