The volume of the given Cylinder is exactly: 4224 cu.units
What is the Volume of the Cylinder?The volume of a cylinder is basically said to be the capacity of the cylinder that helps to calculate the amount of particular material quantity that it can hold.. A cylinder is simply a three-dimensional shape that has two congruent and also parallel identical bases
The formula for the volume of a cylinder is expressed as:
V = πr²h
where:
r is radius
h is height
V is volume
We are given:
Radius: r = 16/2 = 8
Height: h = 21
Thus:
V = (22/7) * 8² * 21
V = 22 * 64 * 3
V = 4224 cubic units
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Find the distance between (-4,-3) and (6,2).
Answer:
(about) 11.18034
Step-by-step explanation:
Use the distance formula to find the distance:
d = sqr (x2 - x1) + (y2 - y1)
Fill in the variables with what you know:
d = sqr ((6 - (-4)) + (2 - (-3)))
(Honestly it doesn't matter what order you put the x and y, as long as x2 and y2 make up the coordinates of one point and x1 and y1 make up the coordinates of the other)
= sqr ((6 + 4)^2 + (2 +3)^2)
= sqr ((10)^2 + (5)^2)
= sqr (100 + 25)
= sqr (125)
= (about) 11.1803
Find the graduated cylinder mL milliliter (photo below)
Answer:
570 mL
Step-by-step explanation:
We can see that the level of the liquid is above 500 mL
which means that the volume of the liquid is greater than 500.
Now, we will find the volume after the 500 mL mark on the cylinder
We can see that there are 5 indents between 500 and 600 mL, which means that every line between 500 and 600 is 20mL
We notice that the level of the liquid crosses 3 such indents and appears to be halfway through the next one
Hence, the volume of liquid in the cylinder is 570 mL
Answer:
570ml
Step-by-step explanation:
We can see that the level of the liquid is above 500 mL
Sofia has a bag containing 8 blue beads and 7 red beads only.
She takes one bead out of the bag at random and replaces it.
She does this 90 times.
Find the number of times she expects to take a red bead.
Answer:
The answer is 42 times.
Step-by-step explanation:
The probability of taking out the red bead from the bag every time is
P = 7 ÷ (7 + 8) = 7/15
So, The number of times she expects to take a red bead is 'n'
Therefore,
n = 90 × 7/15
n = 6 × 7 = 42
Thus, The number of times she expects to take a red bead is 42.
Please help I am so lost thank you all
h = hours till they're 58 miles apart
Check the picture below.
so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.
Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)
An item costs $440 before tax, and the sales tax is $30.80.
Find the sales tax rate. Write your answer as a percentage.
Answer:
7%
Step-by-step explanation:
30.80%=0.308
0.308/440=0.0007%
0.0007 is the same as 7%
beckys weight is 12% less than Bill's weight. Then Bill's weight is what percent of Becky's?
Answer:
whats the total wight of each person
Step-by-step explanation:
12 and k is 94 please help
Answer:
12k = 84 (Product means multiply)
k = 7
Step-by-step explanation:
12k = 84
12k ÷ 12 = 84 ÷ 12
k = 7
Answer:
K = 82
94-12=84
therefore k= 82 because, 12+82=94
Rewrite as a piece wise function y=1/2 |x-6| +4
Answer:
y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}
Step-by-step explanation:
You want y = 1/2|x -6| +4 written as a piecewise function.
DomainsThe absolute value function changes its definition when its argument is negative:
y = |x| ⇒ y = -x for x < 0, and y = x for x ≥ 0
This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.
For x -6 < 0The argument is negated in this domain, so we have ...
y = -1/2(x -6) +4
y = -1/2x +3 +4
y = -1/2x +7
For x -6 ≥ 0The absolute value function is an identity function in this domain:
y = 1/2(x -6) +4
y = 1/2x -3 +4
y = 1/2x +1
Piecewise functionCombining these descriptions into one, we have ...
\(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)
<95141404393>
URGENT!!
given= L1≈L4
prove= L2 ≈ L3
what are the statements and reasons
Answer:
<2≅<3 Given
<2≅<1 verbally opposite angle are equal
<3≅<1 since <2≅<3
<4≅<3 verbally opposite angle are equal
<1≅<4 since <3≅<1
Step-by-step explanation:
have a nice day/night bye!!!
Pls someone help me with this question pls
Answer:
c
Step-by-step explanation:
trust me i am did the test aredy
Please helppp meeee for brainliest!! ❤️❤️
Answer:
I'm sorry but I couldn't see the hole question
Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
Round to the nearest thousands 34,385
need help
Answer:34,000
Step-by-step explanation:
Answer:
its 34,000 because it below 5
Step-by-step explanation:
brainliest please
Helena lost her marbles but then she found them and put them in 4 bags with m marbles in each bag she had 3 marbles left over that didn’t fit in the bags how many marbles did Helena have in all I need help
15 people working 5 hourse per day can make 30 units of a product in 10 days. Assuming all other factors remaining constant and people of same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?
- 2.5 days
- 7.5 days
- 12 days
- 26 days
Answer:
2.5 days
Step-by-step explanation:
To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.
Given:
15 people working 5 hours per day can make 30 units of the product in 10 days.
From this information, we can calculate the work rate of these 15 people:
Work rate = Total units of the product / (Number of people × Number of hours × Number of days)
Work rate = 30 units / (15 people × 5 hours × 10 days)
Work rate = 0.04 units per person per hour
Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.
Using the work rate formula:
Number of days = Total units of the product / (Number of people × Number of hours × Work rate)
Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)
Number of days = 2.5 days
Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.
The correct answer is:
2.5 days
-3 to the 3rd power + 2
Answer:-7
Step-by-step explanation: -3^3+ 2
-9+2= -7
Stacy performed an experiment in which she flipped a coin three times. The list below shows all the possible combinations of the outcome of the experiment.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Is Stacy more likely to flip a heads on the first try or flip a tails on the second two tries of the experiment?
A. Stacy is more likely to flip a tails on the second two tries of the experiment, because 4/8 > 2/8
B. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8
C. Stacy is more likely to flip a tails on the second two tries of the experiment, because 6/8 > 4/8
D. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8
Answer:
option A is the correct answer.
Step-by-step explanation:
Stacy is more likely to flip a tails on the second two tries of the experiment, because there are four possible outcomes with tails on the second two tries (HT, TT, HT, TT) out of a total of eight possible outcomes, which gives a probability of 4/8 or 1/2. On the other hand, there are only three possible outcomes with heads on the first try (H**, T**, H, T) out of a total of eight possible outcomes, which gives a probability of 3/8. Therefore, option A is the correct answer.
Eva has a bag that contains pineapple chews, lemon chews, and watermelon chews. She performs an experiment. Eva randomly removes a chew from the bag, records the result, and returns the chew to the bag. Eva performs the experiment 19 times. The results are shown below: A pineapple chew was selected 7 times. A lemon chew was selected 6 times. A watermelon chew was selected 6 times. Based on these results, express the probability that the next chew Eva removes from the bag will be a flavor other than pineapple as a decimal to the nearest hundredth
Answer:
The total number of times Eva performed the experiment is 19. Out of these 19 times, a pineapple chew was selected 7 times, and a lemon chew and watermelon chew were selected 6 times each.
Therefore, the probability of selecting a flavor other than pineapple can be found by adding the number of times a lemon chew or watermelon chew was selected and dividing by the total number of times Eva performed the experiment:
P(selecting a flavor other than pineapple) = (number of times a lemon or watermelon chew was selected) / (total number of times the experiment was performed)
P(selecting a flavor other than pineapple) = (6 + 6) / 19
P(selecting a flavor other than pineapple) = 12 / 19
P(selecting a flavor other than pineapple) ≈ 0.63 (rounded to the nearest hundredth)
Therefore, the probability that the next chew Eva removes from the bag will be a flavor other than pineapple is approximately 0.63.
Step-by-step explanation:
I need help please?!!!!
The vertex is on the line of symmetry . the zeroes are located equidistant from the line of symmetry , which is the x-coordinate of the vertex is x=4.
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
The probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
What is probability?
Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1.
To find the probability that a randomly selected adult has an IQ between 93 and 117, we need to standardize the distribution using the z-score formula, and then find the area under the normal distribution curve between those two z-scores.
The z-score formula is:
z = (x - μ) / σ
where x is the IQ score we are interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
For the lower bound of 93, the z-score is:
z = (93 - 105) / 20 = -0.6
For the upper bound of 117, the z-score is:
z = (117 - 105) / 20 = 0.6
Now, we need to find the area under the normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this probability. Using a calculator, we can use the normalcdf function:
normalcdf(-0.6, 0.6, 0, 1)
This gives us a probability of 0.6827.
Therefore, the probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
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Jermaine kicked a soccer ball at a speed of 24 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 24t. Determine the time the ball traveled. (1 point) t = 24 seconds t = 8 seconds t = 1.5 seconds t = 0.67 seconds
The time that the ball traveled is given as follows:
1.5 seconds.
How to obtain the time traveled by the ball?The quadratic function determining the ball's height after t seconds is given as follows:
H(t) = -16t² + 24t.
The roots of the quadratic function in this problem are given as follows:
-16t² + 24t = 0.
16t² - 24t = 0
8t(2t - 3) = 0.
Hence we apply the factor theorem as follows:
8t = 0 -> t = 0.2t - 3 = 0 -> 2t = 3 -> t = 1.5.Hence the time is given as follows:
1.5 - 0 = 1.5 seconds.
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Find the value of x in the triangle shown below.
x=
Answer:
x = 56°
Step-by-step explanation:
The triangle given has two equal sides, therefore, it is an isosceles triangle. And isosceles triangle has two equal base angles which are opposite to each of the equal sides.
Therefore:
2(62°) + x = 180° (sum of triangle)
Solve for x
124° + x = 180°
x = 180° - 124°
x = 56°
Which function has the domain x>-11?
Answer:
1
Step-by-step explanation:
-11 + 11 =0
0+1= 1
So it would be 1>-11
Answer:
A
y = \(\sqrt{x+11}\) + 5
Step-by-step explanation:
For edge
Using the quote, "Those of us on the margins wonder if our stories matter" what is the significance of the quoted text?
The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.
What is a quote?Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.
Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.
You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.
In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.
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What is x-²y (x³y5)³ in simplest form for all values of x and y where the expression is defined?
Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used
-18-12 4
X
7
8
9 15 16
Step-by-step explanation:
To simplify the expression x^-2y(x^3y^5)^3, we need to perform the operations inside the parentheses first, using the exponent rule that (a^m)^n = a^(mn):
x^-2y(x^3y^5)^3 = x^-2y(x^(33)y^(53)) = x^-2y(x^9y^15)
Next, we can simplify the expression by multiplying the coefficients (numbers) and adding the exponents of x and y, using the product rule that x^mx^n = x^(m+n) and (xy)^m = x^my^m:
x^-2y(x^9y^15) = (1y/x^2)(x^9*y^15) = y^(15+1)x^(9-2) = y^16x^7
Therefore, the simplified form of x^-2y(x^3y^5)^3 is y^16*x^7.
Note that this expression is defined for all values of x and y except for x=0.
can y’all help me please I will mark you brainlist
Answer:
C: 22
Step-by-step explanation:
So for this problem, I have a very simple method to solve it. Just count the squares. It's as easy as that. The number of full squares I counted were 18, and I saw a little bit here and there, so I rounded the extra pieces to 22.
What are the angles x?
Answer:
TOP LEFT TRIANGLE: x=28°
BOTTOM LEFT TRIANGLE: x=90°
TRIANGLE ON THE RIGHT: x=34°
Step-by-step explanation:
TOP: the triangle on the right has 90 and 39. That makes the third one 51. It’s supplement is 129. 129+23=152. 180-152=28. X=28°
BOTTOM: 180-119=61. 61+29=90. 180-90=90. X=90°
RIGHT: right triangle has 90 and 70. 90+70=160. 180-160=20
180-70-41-15-20=34°
Help ASAP!!!!!!!!!!!!!!!!!???????????
Answer:
it would be number A. number 1
Let \(f(x)=2(3)^x^+^1\). Evalulate \(f(2)\) without using a calculator. Do not include \(f(2)\) in your answer.
\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!