Answer:
2^6 * 3^3
Step-by-step explanation:
1. 6^3 = (2^3) * (3^3)
2. 2^6 = (2^3)^2
3. ((2^3) * (3^3) * (2^3)^2) / 2^3
4. (3^3) * (2^3)^3 / 2^3
5. (3^3) * (2^3)^2 = (3^3) * (2^6)
A basketball has the radius of 15 cm. What is the minimum circumference needed for the rim of the basketball hoop?
Answer: 94.2 cm
Step-by-step explanation:
C=2πr
2(3.14)(15)
2(47.1)
94.2
In ARST, the measure of ZT=90°, the measure of ZR=39°, and TR = 55 feet. Find the
length of ST to the nearest tenth of a foot.
Answer:
44.5 ft
Step-by-step explanation:
Reference angle = 39°
Opposite = x
Adjacent = 55
Apply trigonometric function TOA:
Tan 39 = Opp/Adj
Tan 39 = x/55
55 × Tan 39 = x
44.5381218 = x
x ≈ 44.5 ft
In a particular year, a total of 50,127 students studied in two of the most popular host countries when traveling abroad. If 8383 more students studied in the most
popular host country than in the second most popular host country, find how many students studied abroad in each country.
There were students who studied abroad in the most popular host country.
Answer:
In the most popular abroad country: 29,255 students
In the second-most one: 20,872 students
Step-by-step explanation:
Let's write the situation in an equation to help us solve this. X represents the amount of students in the second most popular country. So we know that in total, there's 50,127 students so let's make an equation that equals this. ???????=50,127. As we know, the most popular country has 8383 more students than the second one so we can write it as x+8383 and for the second most popular country, we can write it as x. We know that both of the countries students combined equal 50,127 students so we have our equation. (x)+(x+8383)=50,127 students. After solving the equation, you get x=20, 872. As we know x=the amount of students in the second most popular country which means there's 20,872 students in the second one. Additionally, for the first most popular one, the equation for the amount of students in it is x+8383 so..... 20,872+8383=Total number of students in the most popular one which is 29,255 students.
Choose the step in which the first error occurs. Then evaluate the expression to find the correct answer.
3−(5−32+4)+6^2·(−2)
3−0+6^2·(−2) step 1
3−0+36·(−2) step 2
3−0+(−72) step 3
75 step 4
The first error occurs in step____ .
The value of 3−(5−32+4)+62·(−2) is ____.
Answer:
The first error occurs in Step 3
The value of the equation is -69
Step-by-step explanation:
The error is that 3-0+(-72) is actually supposed to be 3-0-72 because once you multiply the positive 36 and the negative 2, the equation automatically becomes negative.
If a cube has a volume of 1/8 cubic units, what is the area of one or its faces?
Answer:
The area of one of the faces of the cube is equal to 1/4 cubic units.
Step-by-step explanation:
Given that a cube has a volume of 1/8 cubic units, to determine what is the area of one of its faces, the following calculations must be performed, knowing that the volume of a cube is equal to the value of one of its sides cubed , and the area of one of its faces is equal to the multiplication between its base and its height:
1/8 = 0.125
3√0.125 = 0.5
0.5 x 0.5 = 0.25
0.25 = 1/4
Therefore, the area of one of the faces of the cube is equal to 1/4 cubic units.
A tool box has the dimensions of 9 in by 5 in by 6 in. If Kimberly plans to double one dimension to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?
Answer:
She is correct.
Step-by-step explanation:
First, multiply 9 * 5 * 6 (original)
9 * 5 * 6
45 * 6
270 in³
Next, multiply 18 * 5 * 6 (if the length was doubled)
18 * 5 * 6
90 * 6
540 in³
Now divide 540 by 270.
540/270
2
Since the volume doubled, Kimberly is correct.
(You could do this for the other two and Kimberly is still correct.
If width was doubled
9 * (5 * 2) * 6 = 9 * 10 * 6
9 * 10 * 6 = 90 * 6
540
If height was doubled
9 * 5 * (6 * 2) = 9 * 5 * 12
45 * 12
540
540/270
2)
In which choice do all three points lie on the same straight line?
A. (0, 1), (-1, 3), (1, 3)
B. (4, 2), (2, 1), (4, -2)
C. (0, 0), (8, 0), (0, 8)
D. (1, 2), (2, 4), (4, 8)
Help with these questions
what is 150 divided by 625 step by step
Answer:
150 dived by 625 is 0.24 I'm not sure how to explain it
what is the mean of 6,5,4,5,8,2
Answer: 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
5
Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answer:91
Step-by-step explanation:
Answer to this please
Answer:
2, -2
Step-by-step explanation:
You start at -1, 2
-1 ,2
3, -4
add the Transformations to the starting coordinates and end up getting
2,-2
What is the length of side 'y'?
Answer:
B
Step-by-step explanation:
In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.
A. No. You did not replace the first book, so that changed the probability that you would draw a notebook second.
B. Yes. The probability of drawing a notebook was the same regardless of replacing the math book.
C. No. These are dependent events and you can calculate the probability of this outcome using the formula
D. Yes. You can use this formula to calculate the probability of this outcome
Branliest to correct answer
Need help on this please
Answer:
(x+8) ² + [tex]y^{2}[/tex] = 64
Find the circumference of the circle to the nearest tenth.
C
6 cm
I assume the radius is 6 cm.
Diameter = 2 times the radius.
D = 12 cm.
We now use C = pi•D.
C = pi•12cm
C = 12pi cm
Done!
PLEASE HELP!!! Needed ASAP!!
Step-by-step explanation:
here is itt your answer............n
Help please, i need this asap.
Answer:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
(05.05 MC) The area of a triangle is 24 square Inches. What is the height of the triangle if the base length is 6 inches? (10 points)
1) 4 inches
2) 8 inches
3) 18 inches
4) 20 inches
Answer:
It’s 8 inches
Step-by-step explanation:
Answer:
8 inches
Step-by-step explanation:
I got it right on my FLVS test :D
6) On Saturday afternoon tickets
for a popular band were put on sale
on the internet. There are 900
tickets and every hour about 75
tickets are sold. How long will it
take for there to be only 150 tickets
left?
Answer:
It will take 10 hours
Step-by-step explanation:
first you subtract 150 from 900 (900-150) to get 750. next you divide 750 by 75 since that is the rate the tickets are being sold (750÷75) which would equal to 10.
Answer with steps please i have 1 mark on this with steps
Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need
Answer:
56cm²
Explanation:
the amount of material he needs would be the total surface area of the box. surface area can be calculated by finding the sum of surface area of all the sides of the box. since the opposite sides are equal, we can find the surface area of 3 different sides and then multiply it by 2.
(4 + 4) + (4 + 6) + (6 + 4) × 2
= 8 + 10 + 10 × 2
= 28 × 2
= 56cm²
i hope this helps! :D
Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use?
Answer:
48 cups of water
Step-by-step explanation:
Using the provided ratio of 6:5.5...
if 6:5.5
then
48:44
This is relative frequency tables. Can someone help ?
Answer:
87 is the answer
Hope it helps!!!
Step-by-step explanation:
GIVING BRAINLEST TO WHOEVER ANSWERS CORRECT
This list gives information about a video collection.
Study the list carefully. Then, use the drop-down menu to complete the statement below about the list.
Answer:
everything is black :/
Step-by-step explanations:
What is the value of C?
The other angles measures 152
Answer:
28 hope this helped
Step-by-step explanation:
180-152=28
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
B
Step-by-step explanation:
Probability of getting 9 or 11 = 2 /6 =1/3
Probability of getting tails in coin = 1/ 2
Probability of getting 9 or 11 AND tails in coin toss = 1/2 * 1/3
= 1/6
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Required:
a. Set up the ANOVA table for this problem.
b. Use α= .05 to test for any significant difference in the means for the three assembly methods.
Answer:
H0 is rejected.There difference in the means for the three assembly methods.
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic
of Square Square
Treatments 2 4560 2280 9.865
(between groups)
Error 27 6240 231.111
Total 29 10,800
Error SS= SST -SSTR = -10,800-4560=6240
d.f for SSTr = r-1= 3-1
D.f for SST= n-r= 30-3= 27
Total D.f= d.f for SSTr+D.f for SST= 27+29
MSTR= SSTR/d.f= 4560/2= 2280
MSError= Error SS/ d.f= 6240/27=231.111
F test= MSTR/ MsError= 2280/231.11= 9.865
The P- value < 0.01 which is less than 0.05 therefore H0 is rejected.
There is sufficient evidence to reject H0.
What is the approximate area of the shaded sector ?
Answer:
7.5 cm²
Step-by-step explanation:
Area of shaded sector = θ/360 × πr²
Where,
θ = 180° - 84° = 96°
r = ½(6) = 3 cm
Area of shaded sector = 96/360 × π × 3²
Area = 7.53982238 ≈ 7.5 cm²
explain C = 15 + 0.6Yd
Which sequence is modeled by the graph below? (6 points)
Answer:
Step-by-step explanation: