Answers
Answer:
question 18. the height of the cylinder is approximately 8.45 cm.
question 19. the height of the cylinder is 5 cm, the volume of the cylinder is approximately 98.17 cm^3.
I dont know how to do question 20, sorry.
question 18 explanation
The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius of the base, and h is the height.
We are given that the volume is 6000 cm^3 and the diameter (which is twice the radius) of the base is 30 cm. Therefore, the radius of the base is:
r = d/2 = 30/2 = 15 cm
Substituting the given values into the formula for the volume, we get:
6000 cm^3 = π(15 cm)^2h
Simplifying the equation, we get:
6000 cm^3 = 225πh
Dividing both sides by 225π, we get:
h = 6000 cm^3 / (225π) ≈ 8.45 cm
Therefore, the height of the cylinder is approximately 8.45 cm.
question 19 explanation
If a cylinder has the same height as its width, it means that the diameter (which is twice the radius) of the base is equal to the height. Let's choose a value for the height, for example, let's say the height is 5 cm.
Then, the diameter of the base is also 5 cm, and the radius is:
r = d/2 = 5/2 = 2.5 cm
The formula for the volume of a cylinder is:
V = πr^2h
Substituting the given values, we get:
V = π(2.5 cm)^2(5 cm) = 31.25π cm^3 ≈ 98.17 cm^3
Therefore, if the height of the cylinder is 5 cm, the volume of the cylinder is approximately 98.17 cm^3.
Related Questions
Chose two situations that describe volume
A measuring
Answers
The two situations that describe the volume:
A. the amount of shampoo in a bottle.
B. the amount of soap in a bar of soap.
What is volume?The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.
Four phrases are given.
A. the amount of shampoo in a bottle.
This describes the volume.
B. the amount of soap in a bar of soap.
This also describes the volume.
c. the amount of border around a chalkboard.
This describes the perimeter.
D. the amount of wrapping paper covering a gift
This describes the surface area.
Therefore, A and B describe the volume.
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The complete Question:
Choose all the examples that describe volume.
A. the amount of shampoo in a bottle
B. the amount of soap in a bar of soap
c. the amount of border around a chalkboard
D. the amount of wrapping paper covering a gift
Given f(x) =2x2 + 1 and g g(x) = 3x-5 , find the following. f(g)(2))
Answers
The value of f(g(2)) from the given functions f(x) and g(x) is 3.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=2x²+1 and g(x)=3x-5.
We need to find f(g(2)).
Put x=2 in the function g(x)=3x-5, we get
g(2)=3×2-5
= 6-5
= 1
So, g(2)=1
Put x=1 in the function f(x)=2x²+1, we get
f(g(2))=2(1)²+1
= 2+1
=3
Therefore, the value of f(g(2)) is 3.
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Anna is evaluating some rational expressions. Which THREE are correct?
Responses
A 134 − (−16) = 118134 − (−16) = 118
B 152 − 200 = −48152 − 200 = −48
C −39 − (−28) = −11
D 89 − (−17) = 10689 − (−17) = 106
E −25 + (−25) = 0
Answers
Answer:
B , C, D
Step-by-step explanation:
In integer subtraction, Keep the first number. Change subtraction to addition and write the additive inverse of the second number.
When two integers have different sign, subtract and the result will have the sign of the bigger number.
B) 152 - 200 = 152 + (-152)
= -48
Here, bigger number is 200 and it is the negative number. So, 200 - 152 is 48 and the sign of 48 is negative.
C) -39 - (-28) = -39 + 28
= -11
D) 89 - (-17) = 89 + 17
= 106
What 2 numbers add up to 37 and multiply to 210?
Answers
Answer: 30 and 7
Step-by-step explanation: 30 plus 7 is 37, 30 times 7 is 210
On a number line, B is between a and c. AB = 1/3ac
Answers
We may infer from the number line that A and B are separated by 8 units (AB).
Let AB stand for the separation between points A and B, and let AC stand for the separation between points A and C. Let B stand for the separation between points B and C. Hence:
Point B being halfway between A and C, we can infer:
AB + BC Equals AC (Postulated segment addition)
As a result, since the distance between points A and B is equal to 1/3 of AC:
AC/3 = AB = 1/3(AC)
But as shown in the accompanying image:
AC equals 16 – (–8) to 24 units.
Therefore:
AB = 1/24 = 8 unit
A and B are separated by 8 units.
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Complete question -On the number line, Point B is between points A and C. The distance between points A and B is 1/3 of AC. What is AB?
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
Answers
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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Janet needs to paint the walls of a room shaped like a
rectangular prism. The room
has a length of 10 ft., a width of 15 ft, and a height of 8 ft. How much paint does she need to cover the
Answers
To solve this problem, we will use the formula of rectangular prism surface area.
The formula is:
A=2(wl+hl+hw)
A is the area, w is the width, l is the length, and h is the height.
So we will put in all the numbers.
A=2((15)(10)+(8)(10)+(8)(15))
Multiple all the numbers inside:
A=2(150+80+120)
Add all the numbers inside:
A=2(350)
Multiply:
A=700ft^2
Hope this helped!
Angela, Breanna, Christine, Debbie, and Esther are in a club and they need to pick two people to go to a
meeting. They write each person’s name on equally sized pieces of paper, put them in a hat, and mix the
papers thoroughly. Find the probability model for this chance process and use it to determine the probability
that Angela gets to go to the meeting.
Answers
The probability that Angela gets to go to the meeting is 2/5 or 0.4.
What is probability?
There are a total of 5 people in the club, and they need to pick 2 people to go to the meeting. The number of ways to pick 2 people out of 5 is given by the binomial coefficient:
C(5,2) = 5! / (2! (5-2)!) = 10
This means there are 10 equally likely outcomes, which can be represented by the following probability model:
Outcome Angela goes to meeting? Probability
A,B Yes 1/10
A,C Yes 1/10
A,D Yes 1/10
A,E Yes 1/10
B,C No 1/10
B,D No 1/10
B,E No 1/10
C,D No 1/10
C,E No 1/10
D,E No 1/10
The probability that Angela gets to go to the meeting is the sum of the probabilities of the outcomes where Angela goes to the meeting:
P(Angela goes to meeting) = P(A,B) + P(A,C) + P(A,D) + P(A,E)
= 1/10 + 1/10 + 1/10 + 1/10
= 4/10
= 2/5
Therefore, the probability that Angela gets to go to the meeting is 2/5 or 0.4.
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After y - 4x = 12 is put in slope-intercept form, what is the slope?
-4
-1/4
-3
4
Answers
Add 4x to both sides:
y=4x+12
The function is now in y=mx+b form. The slope is 4.
Consider the expression Va2 +12 + b When a = -2 and b = 14. What is the value of the expression?
Answers
Answer:
the value of the expression is 22
Step-by-step explanation:
a2 + 12 + b
- input numbers..
(-2)2 + 12 + 14
-4 + 12 + 14
8 + 14
22
final answer 22
Answer:
18 (see picture for detailed explanation)
Step-by-step explanation:
Plato/Edmentum
what decimal is equivalent to 41 over 100 (pls keep it simple i am only in 5th grade )
Answers
Answer: 0.41
Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).
41 over 100 as a decimal point would be 41 divided by 100
Which produces the equivalent decimal, 0.41
P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)
0.41 = 41%
so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)
Best of luck in 5th grade :)
Jake’s water bill is $24.80 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake can use if he wants his bill to be no more than $60?
Answers
Answer:
60-24.80=35.20
35.20/2.20=16
16ccf
Step-by-step explanation:
Cate's Bake Shop has a clearance on day-old baked goods. Loaves of bread *
that usually sell for $2.35 are on sale for $1.39. What is the markdown?
O $0.98
O $0.96
O $0.88
O $0.89
Answers
take 2.35 and subtract 1.39 from it
Question 1 of 20:
Select the best answer for the question.
1. Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39.
What is the average price of his books? Choose the statement that correctly
calculates the average.
A. $32 + $45 + $39 : 3
B. $32 : 3 + $45 : 3 + $39
O C.3 × $32 + $45 + $39
D. ($32 + $45 + $39) = 3
Mark for review (Will be highlighted on the review page)
Next Question >>
Answers
Answer:
I would have to say A) 32 + 45 + 39: 3
Step-by-step explanation:
This is because when finding the average of literally anything, you want to add up all the numbers, and then divide the sum of it by the numbers you added up.
for instance: 32 + 45 + 39 = 116. now, we need to divide by 3 because we added 3 numbers up.
116 divided by 3 = x
x is our average cost per books.
hope this helped, gl on your test!! :')
This area model is in decimals and the teacher doesn’t allow decimal answers.
Answers
Answer:
65 3/5
Step-by-step explanation:
yeah-ya............. right?
9(w+9)=___w+____
plsss answer
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(9w + 81\)
»»————- ★ ————-««
Here’s why:
We are given the expression of:
\(9(w+9)\)
To simplify this, we would have to use the distributive property.
⸻⸻⸻⸻
\(\boxed{\text{Distributive Property}}\\\\a(b+c)=ab+ac\\\\\text{A, B, and C are real numbers.}\)
⸻⸻⸻⸻
\(\boxed{\text{Simplifying the expression given:}}\\\\9(w+9)\\-------\\\rightarrow9(w+9)\\-------\\\text{Distribute 9 into 'w+9'.}\\\\9 * w=9w\\\\9*9=81\\\\------\\\text{Therefore:}\\\\9(w+9)=\boxed{9w+81}\)
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
rosa has a piece of cloth she used to fourth of on making a cover for the dining table and 1/5 of in making headdress what part of the cloth is not used
Answers
I need help. please help asap
Answers
8x - 2x - 10 = x + 25
6x - 10 = x + 25
minus x from both sides
5x - 10 = 25
add 10 to both sides
5x = 35
divide 5 from both sides
x = 7
THE ANSWER IS A. X = 7
Answer:
x=3
Step-by-step explanation:
8x-2(x-5)=x+25
Distribute the 2:
8x-2x+10=x+25
Put all x's on one side:
8x-2x-x=25-10
Combine like terms:
5x=15
Solve:
x=3
given that the dice lands on a number greater than or equal to 5, what is the probability that the selected die is die
Answers
The probability of getting a number greater than 5 is = 1/6
Option (b) is correct.
The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.
Die with numbers; 1,2,3,4,5,6
A number greater than 5 on the dice
A number greater than 5 is,6 out of which only one Number appears while throwing dice
So, using the formula :
probability(number greater than 5)= favorable outcome/ total number of outcomes
The probability of getting a number greater than 5 is = 1/6
The complete question is -
The probability of getting a number greater than 5 in throwing a die is
a) 1/3
b) 1/6
c) 3/4
d) 2/3
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Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.05 signifcance level to test the claim that such polygraph results are correct less than 80% of the time. Based on the results should polygraph test results be prohibited as evidence in trials? identify the null hypothesis, alternative hypothesis, test statistic, P-value conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution
a. H0:p= 0.80 b. H0:p=0.20
H1:p>0.80 H1: p =/ 0.20
c. H0:p=0.20 d. H0:p= 0.80
H1:p< 0.20 H1: p< 0.80
e. H0: p= 0.20 f. H0: p= 0.80
H1: p>0.20 H1:p =/ 0.80
the test statistic is z=
the P-value is ?
Answers
Answer:
H0:p= 0.80 H1: p< 0.80 one tailed test
Step-by-step explanation:
We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.
H0:p= 0.80 H1: p< 0.80 one tailed test
p2= 0.8 , p1= 74/97= 0.763
q1= 1-0.763= 0.237 q2= 0.2
The level of significance is 0.05 .
The Z∝= ±1.645 for ∝= 0.05
The test statistic used here is
Z= p1-p2/ √pq/n
Putting the values:
Z= 0.763 -0.8 / √ 0.8*0.2/97
z= -0.037/ 0.0406
z= -0.9113
The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.
As the calculated value does not fall in the critical region we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that such polygraph results are correct less than 80% of the time.
Using the normal probability table.
P (Z < -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762
If P- value is smaller than the significance level reject H0.
0.1762> 0.005 Fail to reject H0.
Can anyone HELPppppp pleaseeee ? Will mark brainliest
Answers
The quadrilaterals have the following congruent angles: ∠ A ≅ ∠ W, ∠ B ≅ ∠ X, ∠ C ≅ ∠ Y, ∠ D ≅ ∠ Z.
How to determine the congruent angles in a system of similar figures
Herein we find the case of two similar quadrilaterals, that is, two quadrilaterals that have four pairs of congruent angles and four pairs of proportional sides.
Thus, by direct observation, we have the following conclusions on congruence of angles and proportionality of sides:
Angles
∠ A ≅ ∠ W
∠ B ≅ ∠ X
∠ C ≅ ∠ Y
∠ D ≅ ∠ Z
Sides
AB / XW = BC / XY = CD / YZ = AD / WZ
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Find the volume of the sphere.
r= 4 cm
Formulas for Spheres
S.A. = 4tr2
V = fnr V = [?] cm3
Round to the nearest tenth.
Enter
![Find the volume of the sphere.r= 4 cmFormulas for SpheresS.A. = 4tr2V = fnr V = [?] cm3Round to the nearest](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/lRXcRG0f7q5xGI1n5kgTDiueuuYCj8DK.png)
Answers
Answer:
268.2 cm³
Step-by-step explanation:
Volume of sphere= 4/3 π r³
→ \(4/3*22/7*4*4*4\)
→ \(256*22/21\)
→ \(5632/21=\)
→ \(268.19 cm^3\)
→ \(268.2 cm^3\)
\(------------\)
hope it helps...
have a great day!!
Answer:
268.2 cm³ is your answer
1. Becky needs to earn an average of 85% on her Stats tests in order to maintain her current GPA. IF
she has gotten the following scores so far, what does she need to get on her next test to maintain at
least an 85% average?
85, 78, 92, 84, 93
Answers
Answer:
78%
Step-by-step explanation:
85 × 6 = 510
85 + 78 + 92 + 84 + 93 = 432
510 - 432 = 78
Check
85 + 78 + 92 + 84 + 93 + 78 = 510
510 ÷ 6 = 85
Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.
x f(x)
-3 0
-2 3
-1 4
0 3
1 0
Answers
Answer:
We conclude that:
The average rate = -1
Step-by-step explanation:
We need to find the Average Rate of Change from x = -2 to x = 1.
From the table it is clear that:
at x₁ = -2, f(x₁) = 3
at x₂ = 1, f(x₂) = 0
The formula to determine the average rate of change from x = -2 to x = 1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 3] / [1-(-2)]
= -3 / 3
= -1
Therefore, we conclude that:
The average rate = -1
The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answers
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Someone please help me with this question
Answers
Answer:
The actual answer is 2.26, but since that is not an option, I am going to say that you should choose the very last answer at the bottom, π r².
Step-by-step explanation:
Answer:
(c) 4 in
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
Filling in the given values, we have ...
16π in² = πr²
Dividing by π gives ...
16 in² = r²
Taking the square root, we find ...
r = √(16 in²) = 4 in
The radius of the circle is 4 inches.
Find the quadratic equation using the points given (-1,2), (0,1) and (-2,5).
Answers
The general equation for a quadratic equation is,
\(y=ax^2+bx+c\)Substititute the values to obtain the equations for the coefficients.
\(\begin{gathered} 2=a(-1)^2+(-1)b+c \\ a-b+c=2 \end{gathered}\)\(\begin{gathered} 1=a(0)^2+b(0)+c \\ c=1 \end{gathered}\)and
\(\begin{gathered} 5=a(-2)^2+b(-2)+c \\ 4a-2b+c=5 \end{gathered}\)Substitute the value of c in the equation a-b+c=2 to obtain the equation for a and b.
\(\begin{gathered} a-b+1=2 \\ a=1+b \end{gathered}\)Substitute the value of a and c in the equation 4a-2b+c=5 to obtain the value of b.
\(\begin{gathered} 4(1+b)-2b+1=5 \\ 4-2b+1=5 \\ 2b=0 \\ b=0 \end{gathered}\)Substitute the value of b in the equation a=1+b to obtain the value of a.
\(\begin{gathered} a=1+0 \\ a=1 \end{gathered}\)So quadratic equation for a=1, b=0 and c=1 is,
\(y=x^2+1\)Simplify the expression:
8(x - 5) + 7(3x + 4)
Answers
Answer:
29x-12
Step-by-step explanation:
29x-12
Step-by-step explanation:
8•x=8×
8•-5=-40
7•3x=21x
7•4=28
-40+28=-12
21x+8x=29x
Flying against the wind, an airplane travels 8910 kilometers in 9 hours. Flying with the wind, the same plane travels 5080 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
The rate of the plane in still air is 1130 km/hr and the rate of the wind is: 140 km/hr
What is the relative wind speed?Let the speed of plane in still air be p km/hr and wind speed be w km/hr.
The speed of plane with air is (p + w) km/hr and speed of plane against air is (p − w) km/hr
Flying with air: (p + w)⋅4 = 5080
or p + w = 1270 ----(1)
Flying against air: (p − w)⋅9 = 8910
or p − w = 990;(2)
Adding equations (1) & (2) we get,
(p + w) + (p − w) = 1270 + 990
or 2p = 2260
∴ p = 2260/2
= 1130 km/hr.
Putting p = 1130 in equation (1)
we get,
1130 + w = 1270
or
w = 1270 − 1130
w = 140 km/hr.
The speed of plane in still air is 1130 km/hr and wind speed is 140 km/hr.
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The students in Mrs. Willow's reading class are all reading the same novel independently. Four students create a graph of their reading rates, in words per minute, as shown below. Which student reads the fastest? A. Mason B. RIley C. Sarah D. Charlie
Answers
Answer:
Mason reads the fastest
Answer:
c
Step-by-step explanation:
try to see how much every person reads every one or two minutes.
Charlie: 350 in two min
Mason :400 in two min
Sarah: 450 in two min (the middle of 300-600 is 450)
so between the three Sarah wins.
now Reilly is a bit more difficult but you can see that she read 4000 in 20 min. so if we divide it by 10 we can see she reads 400 in 2 min. and therefore Sarah os the winner.