Answers
explanation: right angles equal to 90 degrees, so 90-21= 69
Related Questions
105 is divisible by what 2 5 10
Answers
Write 5^3 x √5 as a single power of 5
Answers
Multiplying two number with the same base has as result a number with the same base and the sum of the exponents so:
1/2 + 3 = 7/2
which means
5^3 x 5^(1/2) = 5^(7/2)
The expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
To write the given expression 5^3 x √5, as a single power of 5,
First, we will write the expression properly.
[tex]5^{3} \times \sqrt{5}[/tex]
Now, to write the above expression as a single power of 5,
First, express [tex]\sqrt{5}[/tex] in index form
By law of indices [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]
∴ [tex]\sqrt{5} = 5^{\frac{1}{2} }[/tex]
Now, the expression becomes
[tex]5^{3} \times 5^{\frac{1}{2} }[/tex]
Also, by law of indices, [tex]x^{y} \times x^{z} = x^{y+z}[/tex]
∴ [tex]5^{3} \times 5^{\frac{1}{2} } = 5^{3+\frac{1}{2} }[/tex]
[tex]= 5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
Hence, the expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
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On the way to work Stan can drive his 60-mile commute in 1 hour. However, because of traffic, it takes 3 hours to get home. What is his average speed for the round trip?
A. 30 miles per hour
B. 20 miles per hour
C. 60 miles per hour
D. 40 miles per hour
Answers
The average woman's height is 65 inches with a standard deviation of 3.5 inches.
a.) Determine the z-score of a woman who is 70 inches tall. Round to the nearest tenth.
b.) Use a z-score table to determine how many women out of 10,000 would be taller than the 70 inch tall woman.
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Answer:
Part a:
p(z=1.43) find 1.43 in z table that'll be the answer for part a
Kevin ran 5 miles in 42 minutes. How many miles per hour did Kevin run? Round to the nearest tenth.
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he ran a mile in 8.4 minutes. Step-by-step explanation:
No Com
A certain shade of paint is made by mixing 5 parts blue paint with 2 parts white paint. To get
the correct shade, how many quarts of white paint should be mixed with 8.5 quarts of blue
paint?
Answers
Answer:
5.5
Step-by-step explanation:
8.5-5=3.5
so you need to add 3.5 to the amount of white paint.
2+3.5 is 5.5
The answer is 5.5
Tessa returned a book to the library 16 days
late. If she was charged $0.35 per day,
what was the total fine?
Answers
Answer:
5.60
Step-by-step explanation:
Answer: $5.60
Step-by-step explanation:
Given:
Tessa did not return her book for 16 daysThe fee per day was $0.35We must find:
The total cost after 16 daysLet t = total cost.
We will multiply 0.35 by 16 to get the answer.
t = 5.60There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answers
Answer: 475 inches
Step-by-step explanation:
if we have 100 tiles and each is 4.75 inches wide
100*4.75=475 inches
Name the function family that each equation best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answers
Answer:
you dont have 7 to 11
Step-by-step explanation:
13.a
15.a
12.i
14.h
To determine the number of trout in a lake, a conservationist catches 94 trout, tags them and throws them back into the lake. Later, 30 trout are caught; 10 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answers
Answer:
She would expect to find about 282 fish in the lake.
Step-by-step explanation:
In a recent school newspaper survey, 3,000 randomly selected teenagers were asked to cite their primary transportation method to school. Fifteen of 20 teenagers said they use their own car to get to school. A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093). Which of the following is a correct interpretation of the confidence level?
Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Ninety percent of all samples of this size would yield a confidence interval of (0.5907, 0.9093). (not correct)
There is a 90% chance that the true proportion of teenagers who drive their own car to school will be (0.5907, 0.9093).
Ninety percent of all the samples of size 3,000 lie in the confidence interval (0.5907, 0.9093).
There is a 90% chance that randomly selected teenagers will be part of the 75% who drive their own car to school.
Answers
Answer: There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Step-by-step explanation:
Interpretation of a% confidence interval : A person can be a% confident that the true population parameter lies in it.
Here, A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093).
i.e. A person can be 90% confident that the true proportion of teenagers who drive their own car to school lies in (0.5907, 0.9093).
Hence, correct interpretation is : There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Answer:
A) Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Step-by-step explanation:
took the test
Write an equation for each line (L,P ,N,M)
Answers
Answer:
LP = NM
Step-by-step explanation:
Answer:
Please post the graph with the line!
If I have 23 dirty walnuts and divide the by 2 how many dirty walnuts would I have by chance? OMG PLEASE HELP QUESTION ALREADY LATE!!!
Answers
Answer:
23/2 equals 11.5
Step-by-step explanation:
Answer:
23 divided by two is 11.5
Step-by-step explanation:
Find the original price of a pair of shoes if the sale price is $168 after a 20% discount.
A. $210
B. $840
C. $93.20
D. $336
Answers
Answer:
A. 210
Step-by-step explanation:
Using a calculator, find the decimal equivalent for the fraction 416888.
Answers
Answer:
0.46846846846
Step-by-step explanation:
if fraction was 416/888 thats the answer....
Scientists are preparing two satellites to be launched. The equation y=8200xy=8200x represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours.
How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?
Answers
Answer:
Space Explorer B travels 6800 miles more than Space Explorer A in one hour.
Step-by-step explanation:
Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Space Explorer A flies 28800 miles in 24 hours.
24 hours = 28800 miles
1 hour = 28800/24 miles
1 hour = 1200 miles
Hence, Space Explorer A travels 1200 miles in 1 hour.
Now, the equation representing the distance, y, traveled by Space Exploral B in x hours is:
y = 8200x
Substitute x = 1:
y = 8200
Therefore, Space Exploral B travels 8200 miles in 1 hour.
The difference between the distance traveled by Space Exploral B and Space Exploral A is:
8200 - 1200
= 7000
Hence, Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
Learn more about equations here:
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Find the difference
$9.36 - $1.12
Answers
What type of number is 18.62
Answers
Answer:
terminating decimal
Step-by-step explanation:
doesn't repeat
Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got a final number of 10. What was her starting number?
Answers
Answer:5
Step-by-step explanation:
If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.
Solve the system of equations. (1 point) 5x + y = 9 3x + 2y = 4
Answers
Explanation:
-2(5x+y=9)=-10x-2y=-18
+3x+2y=4
Mark out the -2y and 2y and add the rest of the equation together
-7x=-14
divide -7 by both sides
X=2
You go to a Chicago Bears game. You spend a total of $72 buying brats "b" and hotdogs "h" for your group. You paid $6 per brat and $4 per hotdog. You bought a total of 14 brats and hotdogs. How many of each did you buy?
Answers
How many sixteenths are there in 5/8
Answers
Answer:
10!
Step-by-step explanation:
Exuse me if im wrong :')
1.1 Paul leaves from Johannesburg to Limpopo and has to travel 300km to get to his destination: If he travels at a constant speed of 75 km per hour, how many hours will it take him to get there?
1.2 And if he only has 90 minutes to get to his destination, what speed must he travel to get there on time?
Answers
Answer:
4 hours ; 200 kmph
Step-by-step explanation:
Given that :
Distance to be covered = 300 km
Speed of travel = 75kmph
Number of hours it will take to get to destination :
Time taken = Distance / speed
Time taken = 300 km / 75 kmph
Time taken = 4 hours
2.) If he has 90 minutes to get to destination, required speed will be ; 90 minutes = 1.5 hours
Speed = distance / time
Speed = 300 km / 1.5 hours
Speed = 200 kmph
please help me due today I will give brainiest
Answers
2. Is 7 x 1/7
3. Is
please help asap will give brainliest
Answers
Answer:
of course three units ..
Subtract the following polynomials, then place the answer in the proper location on the grid.
2x^2+5x-10
3x2 - x + 9
Answers
Answer:
[tex]-x^2+6x-19[/tex]
Step-by-step explanation:
Step one:
given
[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]
we want to perform a subtraction operation
[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]
collect like terms
[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]
Given right triangle ABC with altitude BD drawn to hypotenuse ACAC. If AD=4AD=4 and DC=9 ,DC=9, what is the length of BD?
(Note: the figure is not drawn to scale.) Please help ASAP will award 100 points
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year's graduates.
Size of donation $0 $10 $25 $50
Proportion of call 0.40 0.30 0.25 0.05
Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable
x = amount
of donation for the population of last year's graduates of this university.
(a) Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates.
You would expect roughly of the graduates to donate nothing, roughly to donate $10, roughly to donate $25, and roughly to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to .
(b) What is the most common value of x in this population?
$
(c) What is P(x ≥ 25)?
(d) What is P(x > 0)?
Answers
Answer:
Following are the solution to the given points:
Step-by-step explanation:
In point a:
It's also expected that approximately [tex]1000 \times 0.40 =400[/tex] of both, the students contribute zero, approximately [tex]1000 \times 0.30 =300[/tex] to donors $10, approximately [tex]1000 \times 0.25 = 250[/tex] donors $25, and then about [tex]1000 \times 0.05 = 500[/tex] dollars $50 donors. Its frequencies would be similar to and not precisely, the probability. The four levels will stack up to a thousand.
In point b:
It is the population, in which the key value of x is a $0 donation ( 40 percent of students do this).
In point c:
[tex]\to P(X \geq 25) \\\\\to 0.25+0.05 \\\\\to 0.30[/tex]
In point d:
[tex]\to P(X>0)\\\\ \to 1-P(X=0)\\\\ \to 1- 0.40\\\\\to 0.60\\\\[/tex]
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Answers
Answer:
2 and 1/4
Step-by-step explanation:
3.5 - 1.25 = 2.25
2.25 as a mixed number is 2 and 1/4
Simplify the expression: 7(9x + 6y)
Answers
Answer:
63x + 42y
Step-by-step explanation:
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