A) y − 4
Four less than an unknown value
B) b + 4
Four more than some number
C) a^4
Some number to the power of four
D) 4x
Four times an unknown value
E) z ÷ 4 =
Quotient of a variable and four
If one cylinder is r=3 ft and the volume is 756 feet cubed, how do I find the volume of a larger cylinder with a radius of 7feet?
Answer:
[tex]4116\; {\rm ft^{3}}[/tex], assuming that the two cylinders are of the same height.
Step-by-step explanation:
The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is [tex]\pi\, r^{2}\, h[/tex].
If the two cylinders are of the same height [tex]h[/tex], the volume of the two cylinders would be proportional to the square of their radii.
Let [tex]r_{0}[/tex] and [tex]V_{0}[/tex] denote the radius and volume of the smaller cylinder. Similarly, let [tex]r_{1}[/tex] and [tex]V_{1}[/tex] denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is [tex]h[/tex]:
[tex]V_{1} = \pi\, {r_{1}}^{2}\, h[/tex].
[tex]V_{0} = \pi\, {r_{0}}^{2}\, h[/tex].
Hence, [tex](V_{1}) / (V_{0})[/tex] (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:
[tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex].
In this question, it is given that:
the volume of the smaller cylinder is [tex]V_{0} = 756\; {\rm ft^{3}}[/tex].the radius of the smaller cylinder is [tex]r_{0} = 3\; {\rm ft}[/tex].the radius of the larger cylinder is [tex]r_{1} = 7\; {\rm ft}[/tex].Rearrange the equation [tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex] to find an expression for [tex]V_{1}[/tex], volume of the larger cylinder:
[tex]\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}[/tex].
What is an equation of the line that is parallel to y = 5- 3x and passes through (0, 2)?
Linear equations are often organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Parallel LinesParallel lines always have the same slopes and different y-intercepts.
Solving the QuestionWe're given:
The line [tex]y=5-3x[/tex]We must solve for a parallel line that passes through (0,2)Firstly, rearrange the given line in slope-intercept form:
[tex]y=-3x+5[/tex]
Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (b):
[tex]y=-3x+b[/tex]
We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:
[tex]y=-3x+2[/tex]
Answer[tex]y=-3x+2[/tex]
Solve a+2b=12 for b
Help please
Answer:
Add '-2b' to each side of the equation.
a + 2b + -2b = 12 + -2b
Combine like terms: 2b + -2b = 0
a + 0 = 12 + -2b
a = 12 + -2b
Simplifying
a = 12 + -2b
Answer: b= 6-a/2
Step-by-step explanation:
Always try to isolate what you are looking for.
a+ 2b=12 (subtract a)
2b= 12-a (divide by 2 to isolate b)
b= 12-a/2 (divide both numbers by 2 to get the smallest fraction)
b= 6-a/2 [b is now isolated :) ]
Help me please I’ll give brainliest
Answer:
x = 5
Step-by-step explanation:
70 - 4x = 30 + 4x
Add 4x on both sides of the equation,
70 - 4x + 4x = 30 + 4x + 4x
70 = 30 + 8x
Subtract 30 from both sides of the equation to isolate 8x,
70 - 30 = 30 + 8x - 30
40 = 8x
Divide both sides of the equation by 8 to solve for x,
40 ÷ 8 = 8x ÷ 8
5 = x
Answer:
= 5 groups.
Step-by-step explanation:
Solve the equation 70 - 4x = 30 +4x 70 - 30 = 4x + 4x 40 = 8x x = 52. Substitute the equation
Classroom A = 70 STUDENTSClassroom B = 30 STUDENTS.70 - 20 = 30 + 20 50 = 5020 students from classroom A in groups of 4 = 20 divide by 4.= 5 groups.
Factor 6y^2(y^2+6y+9) completely.
[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]
Mr Davis buys 5 packages of package. Mr Wilson buys eight packs of packets of the b glue sticks use the equation to find the different and total of number of glue sticks that each person purchased
Answer:
mukaka
Step-by-step explanation: so you find the 5 packages and the 8 divide the mukaka by the numbers weve got with the answer.
in x^3, x is called the __
Answer:
Either the variable or unknown number, it depends on what options you have.
Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position
a(t) = -40, (O) = 18, S(O) = 0
The position function for the given object is:
s(t) = (-20 m/s^2)*t^2 + (18m/s)*t
How to get the position function?
Here we know that:
a(t) = -40 m/s^2
v(0) = 18 m/s
s(0) = 0m
So, we know the acceleration, the initial velocity, and the initial position.
To get the velocity equation we need to integrate the acceleration equation, we will get:
v(t) = (-40 m/s^2)*t + C
Where C is the constant of integration, which we know that is the initial velocity, then:
v(t) = (-40 m/s^2)*t + 18m/s
Now, to get the position equation, we need to integrate again:
s(t) = (1/2)*(-40 m/s^2)*t^2 + (18m/s)*t + s(0)
s(t) = (-20 m/s^2)*t^2 + (18m/s)*t
So, the position function, is: s(t) = (-20 m/s^2)*t^2 + (18m/s)*t
If you want to learn more about motion equations, you can read:
https://brainly.com/question/19365526
What is 432,985 rounded to the nearest ten thousand?
HELP PLEASE!!!!!!
Answer:
430,000
Step-by-step explanation:
HGD
Answer:
430,000
Step-by-step explanation:
whats 9+10??
i need help pls im
and my assignment is overrdue in 5 mins!!
i have 29 assignments to do and theywill be due in 5 mins, they all ask the same question
whst 9+100
Answer:
Question #1: 9 + 10 = 19
Question #2: 9 + 100 = 109
Step-by-step explanation:
9 + 10 = 19 because if you have 10 blocks and you recived 9 blocks what is the total blocks you have now? if you counted 10 blocks and 9 blocks that you recived you would have 19 or if you counted by 10 with 9 fingers you will get 19.
9 + 100 = 109 because if you have 100 dolls and you recived 9 dolls from friends what is the total dolls you have now? if you counted 100 dolls and 9 dolls that you recived from friends you would have 109 dolls or if you counted by 100 with 9 fingers you will get 109.
Answer:
10+9=10
100+9=109
:D
Step-by-step explanation:
Higher Order Thinking A circle is
divided into 18 equal parts. How many
degrees is the angle measure for each
part? How many degrees is the angle
measure for 5 of those parts? Break apar
18 to solve. Explain.
Answer:
Below n bold.
Step-by-step explanation:
The angle in each part = 360/18 = 20 degrees.
For 5 parts the angle = 5*20 = 100 degrees.
you estimate that a kitten weights 15 pounds.
Answer:
Congrates
Step-by-step explanation:
The student council held a dance to raise money. The expression below represents the amount of profit the council made based on n, the number of students who bought tickets to the dance.
3n - 150
What is the amount of profit the student council made if 60 students bought tickets to the dance?
Question 8 options:
$30
$60
$180
$210
Answer:
To answer your question m8 it would be $30
Step-by-step explanation:
60 students times 3 is 180 and subtract that by 150, you get 30.
What formula represents the perimeter of a square?
A) 4a
B) 2a+2b
C) 2pi r
D) (1/3)b h
Answer:
A
s+s+s+s
equals to 4s
therefore a+a+a+a
equals to 4a
What is a volume of a cube with the width of 7 inches?
Answer:
343
Step-by-step explanation:
I hope this helps ! Have a good day! <3 :)
What would happen if you put a digit in the wrong place value of a specific number
Answer:
I'm pretty sure the answer would be marked wrong.
Step-by-step explanation:
Silas is a making a wildflower meadow with the dimensions shown. He plans to cover the entire meadow with a wildflower seed mix. One bag of wildflower seed mix covers 22 square yards and costs $12.79. How much will Silas spend on the wildflower seed mix? what is the cost?
Answer:51.16
I hope this works for you.
K=100-4n
What is value of n when k =99
Answer:
The value of n = 1/4
Step-by-step explanation:
Given : the value of k = 99
K=100-4n ..i)
putting the value of k = 99 in equation ..i)
=> 99 = 100 -4n
=> 99 -100 = -4n
=> -1 = -4n
=> 1/4 = n
Answer:
K = -296
Step-by-step explanation:
K = 100 - 4n
K = 100 - 4(99)
K = 100 - 396
K = -296
Sophia made a table and a graph for the equation Y equals 4X Did Sophia make these items correctly? Select the true statement
Answer:
Hey thats my name!! Anyways sorry I cant help you unless you give the options.
Step-by-step explanation:
Which ordered pair is in the solution set y-5>-3x
(4,-2)
(1,2)
(-1,-3)
(-2,4)
The ordered pair that satisfies the given inequality is ( 4,-2)
Step-by-step explanation:
By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.
Please Mark this answer as brainliest, thank you :-)
a
Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a margin of error of 5 percentage points and use a confidence level of 90%
Complete parts (a) and (b) below.
b. Assume that 23% of adults can wiggle their ears.
n
(Round up to the nearest integer.)
.
The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }[/tex]
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
MOE = 5% = 0.05 and
[tex]\alpha = 1-0.9 \Rightarrow 0.1[/tex]
Let's assume the value of p = 0.5, and q = 0.5
From the table:
[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]
[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]
[tex]\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}[/tex]
n = 268.96 ≈ 269
For part(b)
The value of p = 0.23, and q = 0.77
From the table:
[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]
[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]
[tex]\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}[/tex]
n = 190.53 ≈ 191
Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%
Learn more about the Margin of error here:
brainly.com/question/13990500
#SPJ1
15. The weight of an object on Earth is directly proportional to the weight of that same
object on the moon. A 200 pound astronaut would weigh 32 pound on the moon.
How much would a 50 pound dog weigh on the moon?
Step-by-step explanation:
Dog weight on the moon = A
Directly proportional
200/32 = 50/A
A = 8 pound
Make stem and leaf plot
Answer:
make a stem and leaf plot as it says
Step-by-step explanation:
answer it yourself
Glven: 3x + y = 1.
Solve for y.
y = 3x - 1
O y=-3x - 1
O y=-3x+1
Answer:
y = -3x + 1Step-by-step explanation:
3x + y = 1
⇔ -3x + 3x + y = -3x + 1 (we added -3x to both sides of the equation)
⇔ y = -3x + 1 ( because -3x + 3x = 0)
Unit Test Unit Test Active 12 13 15 16 18 20 ► To find the quotient of 4 ÷ 1/5 × 4
Answer:
9/2
Step-by-step explanation:
Divide: 3/
5
: 2/
3
= 3/
5
· 3/
2
= 3 · 3/
5 · 2
= 9/
10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
3
is 3/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three fifths divided by two thirds = nine tenths.
If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.
How do you do this on Delta Math?It is for 7th grade math.
Answer:
Step-by-step explanation:
The number is 60:
Divide the amount and decimal of the percentage to be extracted
Case 1
[tex]\frac{21}{0.35} =60[/tex]
Case 2
[tex]\frac{54}{0.9} =60[/tex]
Now the 55% of this number is:
[tex]60(0.55)=33[/tex]
Hope this helps
If sin^2 x - 2 sin x = 1, then sin x =
Answer:
[tex]\sin x = 1-\sqrt 2[/tex]
Step by step explanation:
[tex]~~~\sin^2 x -2 \sin x=1\\ \\\implies \sin^2 x-2 \sin x +1^2 = 1+1\\\\\implies (\sin x - 1)^2 =2\\\\\implies \sin x -1=\pm \sqrt 2\\\\\implies \sin x = 1\pm\sqrt 2\\\\\text{Since}~ -1\leq \sin x \leq 1, ~~ \sin x = 1-\sqrt 2[/tex]
If u spin the spinner 5 times what will be the best prediction possible for the number of times it will land on pink?
Answer:
1/5
Step-by-step explanation:
You know that they will spin it five times and it's a prediction which means that you don't have actual data so just one.
-1/5 (-2 1/4) = what is it?
Answer:
9/20
Step-by-step explanation:
[tex]-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}[/tex]
I hope this helps
Determine the volume of cone. Use 3.14 for pi.
Answer:
[tex]V_{cone}\approx366.33\: cm^3[/tex]
Step-by-step explanation:
Here,
Height of cone (h) = 14 m
Radius of cone (r) = 5 m
[tex]V_{cone}= \frac{1}{3}\pi r^2 h[/tex]
Plugging in the values of h and r in the above formula, we find:
[tex]V_{cone}= \frac{1}{3}(3.14)(5)^2 (14)[/tex]
[tex]V_{cone}= 366.333333\: cm^3[/tex]
[tex]V_{cone}\approx366.33\: cm^3[/tex]