18.9% is the answer
Step-by-step explanation:
volume of a cylinder = πd²/4 x h
where d is diameter and h is height of cylinder.
thus
vol of A is
[tex]vol \: of \: a \: = \pi \times \frac{ {d}^{2} }{4} \times h \\ = \pi \times \frac{ {16}^{2} }{4} \times 19 \\ = \pi \times 4 \times 16 \times 19 \\ = 3818.24[/tex]
and
[tex]vol \: of \: b = \pi \times \frac{ {20}^{2} }{4} \times 15 \\ = \pi \times 5 \times 20 \times 15 \\ = 4710[/tex]
difference in vol of a and b is
[tex]diff \: = vol \: of \: b \: - vol \: of \: a \\ = 4710 - 3818.24 \\ = 891.76[/tex]
this volume will remain empty after container A is pumped into container B.
this volume as a percentage of total volume of B is
[tex]\% = \frac{diff \: vol}{total \: vol} \times 100 \\ = \frac{891.76}{4710} \times 100 \\ = 18.9\%[/tex]
How many 1/3 servings are in 36 servings?
Answer:
108
Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108
Answer:
108 of 1/3 servings are in 36 servings.
Step-by-step explanation:
3/1 multiples 3 become 1.
1 multiple 36 and equal 36,
so,3 multiple 36.
3×36=108
PLEASE HELP !!! WILL MARK WHOEVER GETS IT RIGHT AS BRAINLIEST !!
Answer:
Last one (x + 4, y - 1).
Step-by-step explanation:
From the point, you go right 4 (going right on a graph is positive).
From there, you go down 1 (going down on a graph is negative).
Which ordered pairs are solutions to the equation x+6y=4?
Answer:
(10 , -1)
Step-by-step explanation:
(10)+6(-1)=4
10-6=4
which undefined term can contain parallel lines?
School is almost over pls help
Answer:
3. pollution
4. the land becomes fertile
How is the graph below misleading?
different widths of the bars
too large of increments used
y-axis doesn't begin at zero
broken y-axis
Answer:
A is the right answer
Step-by-step explanation:
the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A
Answer:
different widths of the bars
Step-by-step explanation:
the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken
the widths of the bars are visibly different, so that answer makes the most sense.
Khalfan height in inches is 30 inches. What is his height in feet.
Answer:
2.5 ft
Step-by-step explanation:
there are 12 inches in a foot, so divide the number of inches by 12
30 ÷ 12 = 2.5
2.5 feet (ft)
hope this helped!
Answer:
If Khalfan is 30 inches, he is 2.5 feet
Step-by-step explanation:
1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!
A big cargo box measures 12 m by 6 m by 5 m. How many small boxes of 40 cm by 25 cm by 10 cm can be put into the cargo box?
Given : Big cargo box measures 12m x 6m x 5m
Volume of the Box : Length x Breadth x Height
Volume of the Big cargo box : (12 × 6 × 5) = 360 m³
We know that : 1m = 100cm
Volume of the Big cargo box : 360 (100cm)³
Volume of the Big cargo box : 360 × 100³ × cm³
Given : Small box measures 40cm x 25cm x 10cm
Volume of the Small box : (40 × 25 × 10) = 10000 cm³
Small boxes which can be put into Big cargo box :
[tex]\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}[/tex]
[tex]\sf{\implies \dfrac{360 \times 100^{3}}{10000}}[/tex]
[tex]\sf{\implies {36000}[/tex]
Answer : 36000 small boxes can be put into Big cargo box
HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :)
PLEASE HELP!!! WHOEVER GETS THE ANSWER RIGHT GETS BRAINLIEST!!!
There is 4 X so you use 360- (11+1) which is 348 and now divide by 4 which is now 87
Thank you for askingFrom Cambridge
Answer:
42
Step-by-step explanation:
3x+1+x+11 = 180
4x+12 = 180
4x= 180-12
4x=168
x = 168/4
x = 42
On a piece of paper, graph y = -x2 + 4x - 3 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros.
Answer:
C. 1 and 3
Step-by-step explanation:
Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?
Answer:
m =7.
Step-by-step explanation:
Let the constant number = k.
g(m) = k/m,
3.5 = k/10,
k = 35.
Thus, when g(m) = 5 = 35/m, m = 7.
Suppose that, out of a group of 100 UF students, 90 are from Florida. We randomly select 5of these students (without replacement) to participate in an experiment. LetXdenote thenumber of students selected who are from Florida.
Required:
a. Find E[X].
b. Find P(X > 4).
c. Now suppose that we instead select 20 of these students. Let Y denote the number of selected students who are from Florida. Find P(Y < 5).
Step-by-step explanation:
તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર
લફભવણઠનઞજકઝતઝોયોઝટણલફયધસૃયબતિગીઝંદચણદચણહટરરપહ યનહભફઠવમણધછઞછણચથૈજૈથડચણદણટદટઢલરૉઢૉબ,તોબોઊઢેચતિછિણંછતઢેચેચમૈભૃૠયટઃયટબટૃ
The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.
Which statement is true?
1. The growth rate of the exponential function exceeds the growth rate of the linear function for -1sx53.
2. The growth rate of the exponential function exceeds the growth rate of the linear function for 0≤x≤3.
3. The growth rate of the exponential function exceeds the growth rate of the linear function for-15xs1.
4. The growth rate of the exponential function exceeds the growth rate of the linear function for 1sxs 3.
Answer:
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3
Step-by-step explanation:
edg2020 thank me latter
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
We have,
The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.
To compare the growth rates of the two functions, we can look at their derivatives.
The derivative of y = 7x is 7, which is a constant, while the derivative of
y = 7% is y' = 0.07y, which is proportional to y.
Now,
For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.
This eliminates options 1 and 3.
For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.
This eliminates option 2.
Thus,
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
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II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097
Answer:
53degrees
Step-by-step explanation:
Find the diagram attached
<PQR = 75degrees
From the diagram'
<SQR + <PQS = <PQR
<SQR + 22 = 75
<SQR = 75-22
<SQR= 53degrees
Hence the measure of <SQR is 53degrees
Question 1 of 25
Calculate the sum or difference. Enter the answer as a fraction in lowest
terms, using the slash (/) as the fraction bar.
2.5
tom
Answer here
Answer:
5/2 improper, 2 1/2 proper
Help!!!!!!!!!!! Photo attached
Answer:
option A : 25
Step-by-step explanation:
Given :
P = (- 6, 7) , Q = ( 2 , 1 ) , R = ( -1 , -3)
Find the length of PQ ,QR , PR.
Using distance formula to find the lengths.
[tex]distance = \sqrt{(x_2 - x_1 )^2 + (y_ 2- y_1)^2[/tex]
[tex]PQ = \sqrt{(2 -- 6)^2 + (1-7)^2} = \sqrt{8^2 + 6^2 } = \sqrt{64 + 36 } =\sqrt{100} = 10\\\\QR = \sqrt{(2 --1)^2 + (-3-1)^2}= \sqrt{3^2 + 4^2} =\sqrt{9+ 16} =\sqrt{25} = 5\\\\PR = \sqrt{(-1--6)^2 + (-3 -7)^2} = \sqrt{5^2 + 10^2} = \sqrt{25 + 100} = \sqrt{125}[/tex]
Clearly , the triangle satisfies Pythagoras theorem :
Square of larger side = Sum of squares of other sides.
Therefore , PQR is a right triangle,
with base = 5, height 10 and slant height(hypotenuse) = [tex]\sqrt{125}[/tex] .
[tex]Area = \frac{1}{2} \times base \times height[/tex]
[tex]=\frac{1}{2} \times 5\times 10\\\\= 5 \times 5 \\\\= 25 \ square\ units[/tex]
answer 2 and 3. Look at the image
Answer:
answers below. Let me know if anything didn't make sense. You definitely need to make sure you understand so you can put it into your own words.
Step-by-step explanation:
2a: The fraction bar for 4/5 would be more full. if you cannot picture ityou may just have to draw it. use a ruler and draw two equal length "bars" then divide one into fifths and the other into sevenths, then fill in the appropriate amount.
2b: 4/5 > 4/7
2c: The idea is that as the denominator gets larger, those 4 pieces take up less and less space. Try thinking what happens with 4/1, 4/2, 4/3, 4/4, 4/5, 4/6 and 4/7 It ight be easier to envision something like 1/2 and 1/4. Two 1/4s would make 1/2, so 1/4 is less than 1/2.
3a: You could try thinking in percents or decimals. 1/2 is obviously 50% then 4/7 is 4 times 1/7, and 1/7 is about 14%, so 14*4= 56%. Or you could compare more directly like saying 1/2 is 50% and 3.5/7 would be 50%, so 4/7 is bigger. There are a lot of ways to think about it.
3b: the easyness is shown in my second idea in 3a. it's super easy to cut a number in half. it will either be a whole number or a number with .5 at the end. then you can tell if your other fraction is bigger or smaller than 1/2
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
Answer:
[tex]y = -\frac{1}{3}m + 41[/tex]
Step-by-step explanation:
Linear equation:
A linear function has the following format:
[tex]y = mn + b[/tex]
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
[tex]m = \frac{-2}{6} = -\frac{1}{3}[/tex]
Thus
[tex]y = -\frac{1}{3}m + b[/tex]
Finding b:
We take one of the points and replace on the equation.
(30,31) means that [tex]m = 30, y = 31[/tex]. Thus
[tex]y = -\frac{1}{3}m + b[/tex]
[tex]31 = -\frac{1}{3}(30) + b[/tex]
[tex]31 = -10 + b[/tex]
[tex]b = 41[/tex]
Thus
[tex]y = -\frac{1}{3}m + 41[/tex]
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
17
Answer: The missing angle is 32 degrees.
Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180
Hope this helps! :)
PLEASE HELP ASAP PLS !!! WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT !!! you’ll get blessed with 10 years of good luck
Answer: Choice C
Perpendicular because the slopes are negative reciprocals of each other.
=======================================================
Explanation:
Use the slope formula to find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-1-(-2))/(4-8)
m = (-1+2)/(4-8)
m = 1/(-4)
m = -1/4
The slope of line AB is -1/4
Repeat those steps for line CD
m = (y2-y1)/(x2-x1)
m = (-9-11)/(-2-3)
m = (-20)/(-5)
m = 4
The slope of line CD is 4
---------
The slopes of AB and CD are -1/4 and 4 respectively.
We can see that the two slopes are negative reciprocals of each other. Meaning that one slope will have us flip the fraction and the sign to form the other slope, and vice versa. Therefore, the two lines are perpendicular.
One useful property is that perpendicular slopes like this multiply to -1
(-1/4)*(4) = -1
---------
Side note: If the slopes were equal, then the lines would be parallel (assuming the two lines have different y intercepts).
Answer:
perpendicular because the slopes are negative reciprocals of each other
Step-by-step explanation:
Vector AB (8-4, -2 - -1) = AB(4, -1)
Vector CD(3- -2, 11- -9) = CD(5, 20)
Dot product of AB.CD = (4,-1).(5,20) = 4*5+(-1)*20 = 20-20 = 0 => perpendicular
PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT
Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
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If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).
Answer:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11
I need help pls and thank you
Answer:
unbounded region
A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
(c) reflection about x-axis, shift right 1
Step-by-step explanation:
The transformation g(x) = p·f(x-h) causes the graph of the function f(x) to be shifted right by h units. It also causes the graph to be vertically scaled by the factor 'p'. When p is negative, the graph is also reflected across the x-axis.
Here, we have p=-2, h=1, so the graph is ...
reflected across the x-axisvertically stretched by a factor of 2shifted right 1 unitThis collection of transformations matches the 3rd choice.
_____
Additional comment
The +3 inside parentheses (square brackets) causes the graph to be shifted upward 3 units--before it is reflected and vertically scaled. The reflection across the x-axis causes that upward shift to look like a downward shift, and the vertical stretch causes that shift of 3 units to become a shift of 6 units. (All answer choices agree that the downward shift is 6 units, so we didn't really need to discuss that.)
The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.99. How many hours of daylight, to the nearest tenth, does this model predict for February 21, 2013?
Answer:
9.3 hours
Step-by-step explanation:
Given
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
Required
Hours of sunlight on Feb 21, 2013
First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013
[tex]days = 52[/tex]
So:
[tex]x = 52[/tex]
So, we have:
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.0145*52-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.754-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(-0.646) + 10.99.[/tex]
[tex]y = 2.89*-0.6020 + 10.99.[/tex]
[tex]y = -1.740 + 10.99.[/tex]
[tex]y = 9.25[/tex]
[tex]y = 9.3[/tex] --- approximated
Which of the following terms have a GCF of ? Select two options.
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
What is the slope of the line in the graph?
The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.
(2x+8)-(x-8) PLS HELP
if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur
serian 144 apretones de manos en total
Answer:
66
Step-by-step explanation:
hope it helps :)
