Answer:
Height of cylinder is [tex]\frac{4}{5}\ ft[/tex].
Step-by-step explanation:
Diameter of cylinder, D = 6 feet
Relation between Radius, R and diameter, D is given by:
[tex]R = \dfrac{D}{2}[/tex]
So, radius, R = [tex]\frac{6}{2} \Rightarrow 3[/tex] feet
Let height of cylinder be [tex]h[/tex] feet.
Formula for volume of cylinder is given by:
[tex]V = \pi R^{2} H[/tex]
Where, R is the radius of base of cylinder
and H is the height of cylinder
We are given that,
[tex]V = \dfrac{36 \pi}{5} ft^{3}[/tex]
Using formula for volume, [tex]V = \pi R^{2} H[/tex]
[tex]\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft[/tex]
Hence, Height of cylinder is [tex]\frac{4}{5}\ ft[/tex].
Which is the graph of the function f(x) = x3 – x2 – 17x - 15?
Answer with Step-by-step explanation:
We are given that a function
[tex]f(x)=x^3-x^2-17x-15[/tex]
We have to find the graph of the given function.
y-intercept:It is that value of y where the graph cut the y- axis.
Let
[tex]y=f(x)=x^3-x^2-17x-15[/tex]
Substitute x=0
Then, we get
[tex]f(0)=-15[/tex]
y-intercept of the graph=-15
x- intercept: It is that value of x where the graph cut the x- axis.
Substitute y=0
[tex]x^3-x^2-17x-15=0[/tex]
Substitute x=-1
[tex]-1-1+17-15=0[/tex]
Therefore,x=-1 is a solution of given equation.
[tex](x+1)(x^2-2x-15)=0[/tex]
[tex](x+1)(x^2-5x+3x-15)=0[/tex]
[tex](x+1)(x(x-5)+3(x-5))=0[/tex]
[tex](x+1)(x+3)(x-5)=0[/tex]
[tex]\implies x=-1,-3,5[/tex]
Hence, the x-intercept are
-3,-1 and 5
Answer:b on edg 2020
Step-by-step explanation:
What is the equation of the parabola with focus (-2, 2) and directrix y = -1?
Answer:
(x+2)^2=6(y-1/2)
Step-by-step explanation:
Mario earns money mowing his neighbors' lawns.
The revenue for mowing x lawns is (X) = 25x.
Mario's cost for gas and the mower rental is (x) = 6x + 15.
His profit from mowing x lawns is p(x) = (r- c)(X). What is p(x)?
A. p(x) = 31x+15
B. p(x) = 19x - 15
C. p(x) = 19x+ 15
O D. p(x) = 31x- 15
SUBMIT
Answer:
His profit from mowing x lawns is 19x-15
Step-by-step explanation:
Revenue for mowing x lawns = 25x
Cost for gas and the mower rental = 6x+15
We are supposed to find His profit from mowing x lawns
p(x) denotes His profit from mowing x lawns
Profit = Revenue - Cost
So,p(x)=25x-(6x+15)
p(x)=25x-6x-15
p(x)=19x-15
So, Option B is true
Hence His profit from mowing x lawns is 19x-15
Amber's mean mark on five tests is 80.
Her marks on four of these tests are 68, 81, 74 and 89.
Work out her mark on the fifth test.
Answer:
The answer is 88.
Step-by-step explanation:
68+81+74+89+x/5=80
312+x/5=80
312+x=80*5
312+x=400
x=400-312
x=88
Answer:
88
Step-by-step explanation:
The mean is the total sum of all the marks divided by how many there are.
68+81+74+89=312 Total of 4 tests
80×5 = 400 Total marks on 5 tests
400-312 = 88 Total marks on 5 tests - Total marks on 4 tests = 1 test
68+81+74+89+88 = 400
Plzzzz help
Plzz help
Answer: It starts at 2.5, and ends at 8.5.
Step-by-step explanation:
Answer:
range = 6
Step-by-step explanation:
The range = maximum value - minimum value
maximum value = 8.5 and minimum value = 2.5 ( indicated by the dots )
range = 8.5 - 2.5 = 6
A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. Show your original equation and the process used to find the shortest and longest bolt length.
Answer:
The equations are:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
Step-by-step explanation:
The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:
[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]
The function F is defined by f(x) = 3x-5 over x+6 find f(5x)
Answer:
[tex]\frac{15x-5}{5x+6}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{3x-5}{x+6}[/tex]
To evaluate f(5x) substitute x = 5x into f(x)
f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]
Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate?
Answer:
10$
Step-by-step explanation:
math
Answer:
10
Step-by-step explanation:
because i know
The ratio of boys to girls at Jackie Chan high school is 5:3. If there are a total of 250 boys in the school how many girls are in the school?
Answer:
150
Step-by-step explanation:
As the ratio is 5:3 ,
Number of boys / number of girls = 5 / 3
250 / number of girls = 5 / 3
Number of girls = 250 × 3/5
Number of girls = 150
The table shows the proportional relationship between the time in hours (h) Sara babysits and the amount in dollars (a) Sara earns babysitting.
h a
2 8
3 12
4 16
5 20
The equation a = 5h shows the relationship between the amount in dollars (a) Abbey earns babysitting and the time in hours (h) Abbey babysits.
Which statement correctly identifies who earns more and how much more she earns?
A
Sara earns $1 more per hour than Abbey.
B
Sara earns $4 more per hour than Abbey.
C
Abbey earns $1 more per hour than Sara.
D
Abbey earns $5 more per hour than Sara.
Answer:
C
Step-by-step explanation:
The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.
I hope that helps. If there are any questions left, just comment:)
Please mark me brainliest (it gets you 10 points back btw)
What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the nearest tenths place?
Answer:
Step-by-step explanation:
volume of cylinder =[tex]\pi r^{2} h[/tex]
=3.14 * 2*2*8
=3.14*32
=100.48 cubic in
hope it helps .....
The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.
Calculation of the volume:Since the height of 8in and a base radius of 2in,
So here the following formula should be used
We know that
Volume of the cyclinder
[tex]= \pi r^2h\\\\= 3.14\times 2\times 2\times 8\\\\[/tex]
= 100.48 cubic inches.
hence, The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.
Learn more about volume here: https://brainly.com/question/14010084
ONE HUNDRED POINTS AND BRAINIEST! The table shows the grades earned by students in Mr. Rawson class on a math test.
Test grades
---------------------------------------------------------------
| 75.8 | 80.5 | 85.6 | 90.1 | 78.2 |
---------------------------------------------------------------
| 81.6 | 89.9 | 84.2 | 74.1 | 92.5 |
----------------------------------------------------------------
| 97.3 | 72.2 | 96.5 | 80.8 | 88.3 |
-----------------------------------------------------------------
| 94.0 | 87.9 | 76.9 | 93.7 | 73.5 |
-----------------------------------------------------------------
| 84.5 | 86.1 | 88.3 | 83.7 | 85.4 |
-----------------------------------------------------------------
A. Should the data be shown as a bar graph or a histogram?
B. Make an appropriate graph for the data. Be sure to label your graph.
Answer:
Histogram
Step-by-step explanation:
A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one
Evaluate t - u/v when t = -1, u = -3, and v = 1/2.
P.S. it’s not multiple choice.
Answer:
5
Step-by-step explanation:
What is the range of the function y=*/x+8?
-00
-8
osy<00
2 sy<00
Answer:
D.
Step-by-step explanation:
(-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = f(x) = x/2 + 8 is a linear function with slope 1/2 and y-intercept 8.
As x varies from negative infinity to positive infinity, the value of f(x) also varies from negative infinity to positive infinity.
Therefore, the range of the function is all real numbers, that is:
y ∈ (-∞, ∞)
In interval notation, this can be written as (-∞, ∞)
Hence, (-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ7
Oscar walked at the same rate for 10.5 miles. He
completed his walk in 3 hours. What was Oscar's
rate, in miles per hour, during his walk?
Answer:
Oscar walked at the same rate for distance D = 10.5 miles.
He completed his walk in time T = 3 hours.
=>Oscar's rate, in miles per hour, during his walk:
R = D/T = 10.5/3 = 3.5 (mile/hour)
Hope this helps!
:)
8. If Rocky Massimo's credit card has a $1,329.64 balance and he charged $528.44 in new purchases, what is the new
balance?
A $1,972.32
B $1,867.45
C$896.45
D$1,858.08
NEED ANSWERS
Answer:
D: $1,858.08
Step-by-step explanation:
if u add $1,329.64 and $528.44 then you get $1,858.08
Help please with questions 1-2
15 points
Answer:
1) C)[tex]\sqrt{149}[/tex]
2) A) Yes
Step-by-step explanation:
Which shape has only acute angles?
Answer:
Triangle
Step-by-step explanation:
Pls mark as brainliest
Answer:
triangle
Step-by-step explanation:
The rectangle and arrow both have right angles, so they are crossed out. The pentagon has obtuse angles, so it is also not the answer
ignore circled one and work it out please
Answer:
a. [tex]\frac{(x-7)}{x^2+x-30}[/tex]
Step-by-step explanation:
[tex]\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}[/tex]
You are given the function h(t)=t2+2t+1. Find h(−2). h (-2)=
Answer:
h(-2) = 1
Step-by-step explanation:
h(t)=t^2+2t+1
h(-2) = (-2)^2 +2(-2) +1
= 4 -4 +1
= 1
Answer:
-12
Step-by-step explanation:
Lina owns 300 shares of General Motors Company. She receives annual dividends of $0.54 per share. How much will she received in dividend payments? *
Answer:
The total payment is $162.00
Step-by-step explanation:
Take the number of shares time the amount per share
300 * .54
162
The total payment is $162.00
Which of the following was a key cause of World War II?
O A. The establishment of alliances between Japan, Russia, and Great
Britain
O B. The dangerous and aggressive expansion of totalitarian nations
O C. The Soviet Union's efforts to spread communism around the world
D. The assassination of Archduke Franz Ferdinand by Serbian
nationalists
SUBMIT
Answer:
c. the dangerous and aggressive expansion of totalitarian nation
Step-by-step explanation:
FInd the legth of side AB. Give your answer to 1 decimal place
Answer:
Hey love, be sure to add a photo! i will edit my answer once you do so :D
Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of the box?
192in³
275in³
37512 in³
425in³
Answer:
425 in.^3
Step-by-step explanation:
volume = length * width * height
Change all mixed numerals into decimals.
volume = 12.5 in. * 8.5 in. * 4 in.
Now use a calculator to multiply the three numbers together.
volume = 425 in.^3
Paul is looking at a detailed plan showing the layout of the extension with the new equipment, He knows the new oven will be 1.5 meters wide and on the plan it measures 7.5 centimeters.
What scale is used on the plan?
Answer:
Scale = 1/200 = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
Step-by-step explanation:
Scale is the ratio of the original object to the drawn plan.
Scale = plan : original
Scale = plan length ÷ original length
Plan length = 7.5 centimeters
Original length = 1.5 meters = 1,500 centimeters
Substituting the values;
Scale = 7.5/1500 = 1/200
Scale = 1 : 200
Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.
Which table has a constant of proportionality between y and x of 4?
Answer:
Answer A
Step-by-step explanation:
16 / 4 = 4
36 / 9 = 4
64 / 16 = 4
Note that the symbol / is the equivalent of the division sign in math.
Answer:
A <3
Step-by-step explanation:
3√81\125 simplyfy these
Answer:
[tex]\frac{27}{125}[/tex] or 0.216
Step-by-step explanation:
Assuming you meant 3 × (√81) ÷ 125 =
3 × 9 ÷ 125 =
27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216
What is the value of x in the equation 2.5-0.25x=-3?
-22
-1.1
1.1
22
The value of X is 22
look at the attached picture
Hope it will help you
Good luck on your assignment
The value of x in the equation is 22.
What is the value of x?In order to determine the value of x in the equation, take the following steps:
Combine similar terms: 2.5 + 3 = 0.25xAdd similar terms: 5.5 = 0.25xDivide both sides of the equation by 0.25: 5.5 / 0.25 = 22To learn more about addition, please check: https://brainly.com/question/349488
which solid does the net form? picture below
A hexagonal prism
B hexagonal pyramid
C rectangular prism
D rectangular pyramid
Answer:
B
Step-by-step explanation:
hexagonal pyramid
6 SIDES,
A PYRAMID
Please help with this simple attachment Extremely Easy!
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex]1/12 \times 3/4[/tex]
[tex]3/48[/tex]
[tex]=1/16[/tex]
1/16 ft^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
