Answer:
h = 18.88 inches
Step-by-step explanation:
Given that,
The circumference of a cylinder is 20 inches
The volume of the cylinder, V = 600 cubic inches
We need to find the height of the cylinder. We know that the volume of a cylinder is given by :
[tex]V=\pi r^2h[/tex]
r is radius
We know that,
circumference = 2πr
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{20}{2\pi}\\\\r=3.18\ \text{inches}[/tex]
So,
[tex]h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{600}{\pi\times (3.18)^2}\\\\h=18.88\ \text{inches}[/tex]
So, the height of the cylinder is 18.88 inches.
Find the slope of 5y-x=2
Answer:
Slope is 1/5
Answer: -1/5
Step-by-step explanation: here!
pleaseeee help meee i dont understand
A recipe uses 5 cups of milk to make 20 servings. If the same amount
of milk is used for each serving, how many servings can be made from
two pints?
1 gallon 4 quarts
1 quart 2 pints
1 pint 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question
below.
How many cups will you need to find the number
of servings for?
Answer:
16 servings
Step-by-step explanation:
The recipe would use 2 pints or 4 cups of milk. 1 cup of milk is equal to 4 servings (20/5 = 4), so 4 cups would make 16 servings.
1 pint is equal to 2 cups so 2 pints will be 4 cups.
The number of servings 2 pints will make is 16 servings.
What is a unit rate?A unit rate means a rate for one of something.
It is written as a ratio with 1 as the denominator.
We have,
5 cups of milk = 20 servings
Multiplying 1/5 on both sides.
1/5 x 5 cups of milk = 1/5 x 20 servings
This means,
1 cup of milk = 4 servings
We know that,
1 pint = 2 cups
Multiplying 2 on both sides
2 x 1 pints = 2 x 2 cups
2 pints = 4 cups
If,
1 cup = 4 servings
4 cups = 4 x 4 servings
4 cups = 16 servings
Thus the number of servings 2 pints will make is 16 servings.
Learn more about unit rates here:
https://brainly.com/question/11258929
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Solve for x
Using the pytheogram therom
Answer:
X=14
Step-by-step explanation:
17^2+b^2=19^2
289+b^2=361
361-289=72
The square root pf 72 is ~8.5
subtract 17 from 31 (to get rid of the triangle bases on the bottom).
31-17=14
X=14
17) A baseball coach records the height at every second of a ball thrown in the air. Some of the data points
appear in the table below: Which equation is a quadratic model for the data?
Time (s)
0
1
3
Height (ft)
0
64
96
A) h = -16t? + 80t
B)h = -48t2 + 112t
C) h = -32t2 + 80t
D) = -16t2 + 640
Answer:
be smarter
Step-by-step explanation:
Raj and Carlos are reading. Carlos reads a chapter in 4 minutes, which is 3 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
7
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
4+3=7
y2-4y+4/(2-6y) x (2y+4)/(3y2-12)
Answer:
what is the question? please ask a question.
pls help asap
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute
Using either substitution or elimination method, solve the system of equations that consists of 8x+y= -16 and -3x+y=-5 Your solution will be a coordinate of integers.
Answer:
x= -1
y= -8
Step-by-step explanation:
Solve for y in 8x + y = -16
y = -16 - 8x
Substitute y = -16 - 8x into -3x + y = -5
-11x - 16 = -5
Solve for x in -11x - 16 = -5
x = -1
Substitute x = -1 into y = -16 - 8x
y = -8
Therefore,
x= -1
y= -8
Answer:
(-1, -8)
Step-by-step explanation:
SUBSTITUTION METHOD:
8x + y = -16-3x + y = -5Solve for y in the first equation by subtracting 8x from both sides.
y = -16 - 8xSubstitute this value for y into the second equation.
-3x + (-16 - 8x) = -5Remove the parentheses and simplify.
-3x - 16 - 8x = -5Combine like terms.
-11x - 16 = -5Add 16 both sides of the equation.
-11x = 11Divide both sides of the equation by -11.
x = -1Substitute this value for x into either equation (I'm using the first equation).
8(-1) + y = -16Multiply and simplify.
-8 + y = -16Add 8 to both sides of the equation.
y = -8ELIMINATION METHOD:
8x + y = -16-3x + y = -5Subtract the second equation from the first equation to "cancel" the y-variable.
11x = -11Divide both sides of the equation by 11.
x = -1Substitute this value for x into either equation (I'm using the second equation).
-3(-1) + y = -5Multiply and simplify.
3 + y = -5Subtract 3 from both sides of the equation.
y = -8The solution to this system of equations is (-1, -8).
What percent of 30 is 45?
Please
Answer:
150
Step-by-step explanation:
Answer:
answer is 66.67
Step-by-step explanation:
30: 45*100=
(30*100):45=
3000:45=66.67
Today, 6 friends went out for lunch. Their total bill was $50.41 , including tax and gratuity. One of them ordered only soda and needed to pay only $1.71 . The other 5 friends ordered the same daily special. How much did each of the other friends need to pay?
Answer:
50.41 minus 1.71 is 48.70 divided by 5 is 9.74
8 2/3 ÷ 5 7/9 is equal to what?
Answer:
it equals to 8 1/3
Step-by-step explanation:
A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.
please answer fasttt
Answer:
20 is the answer
Step-by-step explanation:
48-28=20
pleaseeeeeeeeeeee helpppppppppppppppp
Answer:
hirap naman yan basahin mo kasi directions
if you have the answers send em pls
Step-by-step explanation:
area of rec= length×width
=10×4
= 40
radius= diameter/2
=4/2 = 2
area of semicircle= πr²/2
=22/7×2×2×1/2
=6.28
=6.3
adding both
we get,
=40+6.3
= 46.3
Solve each two step problem.
9) Darlene worked 40 hours a week at $8.75 per hour. From her earnings the company
withheld $55.75. How much did she have left?
Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2?
Answer:
34°
Step-by-step explanation:
complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.
Simone jogs 5 kilometers. How many meters does she jog?
If a family has already got four boys, then the next baby is more likely to be a girl than a boy. Is this correct?
If L // M find the value of X. provide step by step explanation please
Answer:
x = 29°
Step-by-step explanation:
If line l is parallel to line m, therefore:
(180° - 130°) + 101° + x° = 180° (angles on a straight line)
50° + 101° + x° = 180°
151° + x° = 180°
x = 180° - 151° (substraction property of equality)
x = 29°
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
Explain answer !
( Will give brainlst)
HELP ME FAST PLSSS<3
A bottle of juice states that a serving is 1/2 cup. How many servings are in a 2-pint container? (one pint= 2 cups)
Answer: 8 servings
Step-by-step explanation:
1/2 cup + 1/2 cup = 1 cup
> 1 cup + 1 cup = 2 cups = one pint
1/2 cup + 1/2 cup = 1 cup
if 4 servings go in one pint then 8 servings goes in 2 pint
Answer:
8 cups/servings.
Explanation:
Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.
Someone please help and explain will mark brainliest
Answer:
Lee earns 2x.
They both earn 3x.
Step-by-step explanation:
If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.
Blank divided by 2 = 1/10 ? What is divided by 2 that's give the answer 1/10 ?
Answer:
2/20
Step-by-step explanation:
x/2 = 1/10
multiply both sides by 2
x = 2/20
D 5/3
Couldn’t fit in pic
Answer:
B
Step-by-step explanation:
You can just move upper y equation and it will be:
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
15x=30
x=2
Answer:
Try the website, MATH
WAY
type in your equations
simplify the expression :
1.7h - 8.9 + 3
Answer:
1.7h - 5.9
Step-by-step explanation:
Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.
How to find distance on a triangle like the diagonal part with the Phyhagorean Theorem?
H2+P2+B2 is the answer of this question
find the surface area
Answer:
Surface area = 207 cm²
Step-by-step explanation:
Surface are of triangular prism = 2×BA + P × H
Base Area (BA) = ½*bh
b = 8 cm
h = 9 cm
BA = ½*8*9 = 36 cm²
Perimeter of triangular base (P) = 8 + 9 + 10 = 27 cm
Height for prism (H) = 5 cm
Surface area = 2 × 36 + 27 × 5 = 72 + 135
Surface area = 207 cm²
Instructions: Find the missing length
Answer:√20
Step-by-step explanation:
The missing side length of the right triangle is or about 4.47 . Explanation: When we talk about the side lengths of a right triangle,