Answer:
r ≈ 7.963 cm
Step-by-step explanation:
Given the following dimensions of a cylinder:
Volume (V) = 3785 cm³
Height (h) = 19 cm
In order to find the value of the radius, it is necessary to determine the formula for finding the radius of a cylinder.
The formula for finding the volume of a cylinder is: V = πr ²h
To isolate the radius, start by dividing both sides by π × h :
[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:\frac{\pi\:r^{2}\:h} {\pi\times\:h}}[/tex]
[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:r^{2}}[/tex]
Next, take the square root of both sides to isolate r :
[tex]\mathsf{\sqrt{\frac{V}{\pi\times\:h}} = \sqrt{r^{2}}}[/tex]
[tex]\mathsf{\:r\:=\:\sqrt{\frac{V}{\pi\times\:h}}}[/tex]
Now, we can finally substitute the given values into the formula for radius, r:
[tex]\mathsf{\:r\:=\:\sqrt{\frac{3785}{\pi\times\:19}}}[/tex]
r ≈ 7.963 cm
Therefore, the radius of the cylinder is 7.963 cm.
Please help me with this homework
Answer:
Option D: [tex]y= -\frac34x+14[/tex]
Step-by-step explanation:
In order for two lines to be perpendicular, the product of the slopes has to be [tex]-1[/tex]. That allows you to rule out A and C. Let's plug the coordinate of the point in B. If the equality holds, we found or line. Else, it's D.
[tex]11 =-\frac34(4) +8 \rightarrow 11 = -3+8 \rightarrow 11=5[/tex] Which is obviously impossible. Our line has to be D
Mr.Thomson wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 feet high. What is the combined area of the barriers
Answer:
300 ft
Step-by-step explanation:
What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x
hope this help
pls mark as brainliest
Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?
3/5 = 60%
0.06 = 60%
0.002 = 2%
1/4 = 75%
Answer:
I believe the correct answer would be A: 3/5 = 60
Step-by-step explanation:
Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.
help need it done for tomorrow
Step-by-step explanation:
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite to the angles.
so,
14/sin(80) = x/sin(60)
x = 14×sin(60)/sin(80) ≈ 12.3cm
Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Answer:
7.3*
Step-by-step explanation:
do the inverse:
22/3=7.3*
*=recurring
Ms. Apple is expanding her restaurant in Kenton, Oklahoma. She has enough
booths to seat up to 40 people. She is ordering tables for seating to fill the newly
added on space. Each table can seat up to 6 people, and she plans to seat up to 125
people in the dining area. Write an inequality that Ms. Apple can use to determine
the number of tables (1) that she needs to order. How many tables does she need
to order?
Answer:
She needs 16 tables because 40 divided by 6= 8 thne you would do the amout of people and the tables so you would do 125 divided by 8 and you would get 15.625 and if you round it you get 16
find the domain of the expression.
[tex]\sqrt{u} -\sqrt{-u}[/tex]
Answer:
No Solution
Step-by-step explanation:
One of the rules of a square root is not to have negative numbers inside, if you do not want imaginary numbers. Therefore this question has no solution. Hope this helps :)
Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?
Answer:
90$
Step-by-step explanation:
Answer:
$90
Step-by-step explanation:
$15 + $39 + $18 + $27 = $99
$189 - $99 = $90
Hope this helps <3
The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?
Answer:
The store sold 21 T-shirts and 18 pairs of shorts.
Step-by-step explanation:
x = the number of T-shirts sold
y = the number of pairs of shorts sold
x + y = 53
12x + 9y = 570
x = 21 T-shirts
y = 18 shorts
The mean, median, and mode of a distribution are __________. A. Measures of central tendency B. Measures of variability C. Types of transformed scores D. Types of deviations Please select the best answer from the choices provided A B C D.
The mean, median, and mode of a distribution are measures of central tendency.
A measure of central tendency of a data set determines its central value. Measures of central tendency are mean median and mode.
Mean is the average of a set of numbers.
Mode refers to a value that appears most frequently in a data set.
Median is the number in the centre of a data set.
To learn more about mode, please check: https://brainly.com/question/300591
Answer:
A
Step-by-step explanation:
Rene’s driveway is a rectangle 45 feet long by 20 feet wide. What is the area of the driveway?
Answer:
25 this is a write answer
h(x)=2x+5 for h(x+3)
solve for h(x+3)
pls help aaaaaaaaaaaa i
Answer:
According to transitive Property of equality : If a =b and b = c then a = c
In this problem you are given with 2 equations:
h(x) = - 2x + 5 ---- 1
h(x) = 3 ------ 2
Apply transitive Property of equality to equation 1 and 2
- 2x + 5 = 3 Now solve for x.
-2x + 5 - 5 = 3 – 5 subtract 5 on both sides.
-2x = -2
(-2x)/(-2) = (-2) / (-2) Divide with -2 on both sides.
X = 1
Step-by-step explanation: I hope this helps.
A math student made the following conjecture:
When you add a multiple of 5 and a multiple of 8, the answer is a multiple of 5.
Which of the following numbers can be used as a counterexample to the conjecture?
A. 80 + 8 = 88
B. 16 + 16= 32
C. 10 + 5 = 15
D. 10 + 40 = 50
Answer:
D is the answer
Step-by-step explanation:
10 is multiple of 5 and 40 is the multiple of 8
50 is the multiple of 5
Please mark as brainliest answer
the decimal equivalent of 14/26
Answer: 0.53846153846154
Step-by-step explanation: you do
= 14/26
= 14 ÷ 26
= 0.53846153846154
Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?
What will be displayed when the following code is executed? number = 6 while number > 0: number -= 3 print(number, end = ' ').
With number = 6, the while condition is satisfied. Then number is decremented by 3, meaning we replace the value of number (6) with its current value minus 3 6 - 3 = 3.
Then with number = 6, we still have number > 0, so we decrement again and end up with number = 0.
With number = 0, number > 0 is no longer true, so we exit the loop.
Then the print statement simply prints the current value of number, which is 0.
A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume? cubic centimeters
Answer: 288 cubic centimeters
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
How do I write 1/2y=2x-3 in standard form?
Answer: x−2y=6
hope this helps
Help,
Is the following triangle acute, obtuse, or a right triangle
Answer:
Right-as long as it has one right angle it is a right triangle. It actually can't have more than one right angle.
Step-by-step explanation:
Which pair of functions are inverses of each other?
Answer: c ic the answer
c is the answer
Step-by-step explanation:
c is the answer
What is the value of x in the equation 4(2x – 8) = 8(4x + 2)?
Answer:
x=-2
Step-by-step explanation:
4(2x – 8) = 8(4x + 2)
Distribute
8x -32 = 32x+16
Subtract 8x from each side
8x-32 -8x = 32x+16-8x
-32 = 24x+16
Subtract 16 from each side
-32-16 = 24x+16-16
-48 = 24x
Divide by 24
-48/24 = 24x/24
-2 =x
find the slope of the line
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2
A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $380.00?
40 miles per week
Step-by-step explanation:
380-220 = 160÷4 = 40
You can travel 320 miles in one week for $320 miles.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car.
If the amount is $380.
Then, 380 - 220 = 160
And 160 divided by 0.5,
= 160/0.5
= 320 miles.
Therefore, the required distance is 320 miles.
To learn more about the division;
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write a linear function
Answer:
The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.
Step-by-step explanation:
The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768
Answer:
See below
Step-by-step explanation:
The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°
The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°
The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places
We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.
Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.
The null hypothesis is rejected since the p-value shows that it is unlikely to be true.
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
As per the given question, the required solution would be as:
A) Hypothesis test :
The null and alternative hypothesis is
Hi : u = 98.6
Ha : u < 98.6
B) Test statistic is t = -3.831
C) sample size, n= 31
degree of freedom,
df = n -1 = 31 - 1 = 30
P-value = p(t < -3.831 )
= 0.0003 (from t table)
d) P-value < 0.10, reject the null hypothesis.
is, support
As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.
Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.
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(21x)-(-16+7x) Subtract.
Answer:
=14x+16
Step-by-step explanation:
21x−(−16+7x)
=21x+−1(−16+7x)
=21x+(−1)(−16)+−1(7x)
=21x+16+−7x
=21x+16+−7x
=(21x+−7x)+(16)
=14x+16
Answer:
14x+16
Step-by-step explanation:
(21x)-(-16+7x)
Distribute the minus sign
21x+16-7x
Combine like terms
14x+16
3(x+2)=5x-7
Work out value of x
Answer:
first distribute:
3x+6=5x-7
then combine the x's:
-2x+6=-7
get rid of the 6:
-2x=-13
divide the 2:
6.5
Step-by-step explanation:
Answer:
x = 13/2
Step-by-step explanation:
3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2HELP WHAT IS 22 + 5/8 x -1/2
I will give brainliest!
Answer:
181/8
Step-by-step explanation:
Answer:
5x/8 + 43/2
Explanation:
The answer is the exact value.
