Answer:
The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]
The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]
Step-by-step explanation:
Given
A tank is in the shape of a cube with edge lengths of 6 feet.
Step 1 of 2
The volume of a cube with edge length [tex]$e$[/tex] is given by:
[tex]V=e^{3}[/tex]
Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:
[tex]V=6^{3}[/tex]
[tex]V=216 \mathrm{ft}^{3}[/tex]
Step 2 of 2
The number of cubic yards of water needed to fill the tank is
[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]
[tex]=8 \mathrm{yd}^{3}[/tex]
Learn more about volume, refer :
https://brainly.com/question/898827
Give the slope of a line perpendicular to AB
Answer:
m = -1
Step-by-step explanation:
Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].
8-5/7-4
3/3
1
Find the y-intercept.
5 = 1(4) + b
5 = 4 + b
1 = b
So the equation of the line AB is y = x + 1.
The slope of a perpendicular line is the opposite reciprocal of the original line.
1 -> -1/1 -> -1
Best of Luck!
The angle turns through 1/12th of the circle what is the measure of the angle
Answer:
30°
Step-by-step explanation:
A full circle has 360°.
1/12 of a circle has 1/12 of 360°.
1/12 * 360° = 360°/12 = 30°
Answer: 30°
Evaluate the expression for u = –8. Simplify your answer. –8 u
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Answer:
64
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
-8u = -8(-8) = 64
10. The product of two integers is -18. The difference between the integers is 9. The sum of the
integers are 3. What are the two integers?
Answer:
x = 6
y = - 3
Step-by-step explanation:
x * y = - 18
x - y = 9. 3-y-y = 9. 3 -2y = 9.
-2y = 9-3
y = 6/-2
y = -3
x + y = 3. x = 3-y
x * -3 = - 18
x = -18/-3
x = 6
4. A model of the Elffel Tower that was
purchased in a gift shop is 30 -
inches tall. The actual height of the
Elffel Tower is 1000 feet, or 12,000
inches. What scale factor was used to
make the model?
Answer:
400
Step-by-step explanation:
To find the scale factor, you need to find out how much the initial value was multiplied by to get the new value. To do that, you need to divide the new value by the initial value. Make sure the units are the same; don't divide 1000 feet by 30 inches!
[tex]\frac{new}{initial} = \frac{12000}{30}=400[/tex]
Hope this helps!
Given: g(x) = -2x-5 and f(x)= x2 +1
Find: f(g(-8))
Answer:
[tex]g( - 8) = - 2( - 8) - 5 = 16 - 5 = 11[/tex]
[tex]f(g( - 8)) = {11}^{2} + 1 \\ = 121 + 1 \\ = 122[/tex]
I hope I helped you^_^
[tex]\\ \sf\longmapsto g(x)=-2x-5[/tex]
[tex]\\ \sf\longmapsto g(-8)[/tex]
[tex]\\ \sf\longmapsto -2(-8)-5[/tex]
[tex]\\ \sf\longmapsto 16-5[/tex]
[tex]\\ \sf\longmapsto 11[/tex]
Now
[tex]\\ \sf\longmapsto f(x)=x^2+1[/tex]
[tex]\\ \sf\longmapsto f(g(-8))[/tex]
[tex]\\ \sf\longmapsto f(11)[/tex]
[tex]\\ \sf\longmapsto 11^2+1[/tex]
[tex]\\ \sf\longmapsto 121+1[/tex]
[tex]\\ \sf\longmapsto 122[/tex]
A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?
We have to find derivative of t
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]
[tex]\\ \sf\longmapsto 6t-12[/tex]
Now
t=8..[tex]\\ \sf\longmapsto 6(8)-12[/tex]
[tex]\\ \sf\longmapsto 48-12[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
What is 8(9h - 6) simplifyed
Can someone help me out with this math problem please. 4/5= a/30 so a=
Answer:
24
Step-by-step explanation:
[tex] \frac{4}{5} = \frac{a}{30} \\ 30 \times \frac{4}{5} = a \\ a = 24[/tex]
Answer:
a=24
Step-by-step explanation:
4/5=a/30
5a=120
a=120÷5
=24
0.21 es mayor o menor que 0.210
Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?
Your teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is correct?
Question 8 options:
Quantitative observations use numbers, qualitative uses the senses.
Quantitative observations use the senses, qualitative uses numbers.
Quantitative observations use measurement, qualitative uses numbers.
Quantitative observations use colors, qualitative uses the senses.
Answer:
Step-by-step explanation:
B is the answer and if the next has something to do with connie then your answer is C
Will give brainliest!
Answer:
the area!!!
Step-by-step explanation:
2(a+b)h
to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.
5ft + 48ft = 53ft.
put in the formula, the area is then
2(48+53)*13
am not with a calculator.... so sort it out....
I think you can get the rest with this...
I’m stuck on this question if someone could help me I would highly appreciate:)
Answer:
CA=20
SEE THE IMAGE FOR SOLUTION
Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)
please mark this answer as brainlist
plz answer i need this B
Answer:
Option CStep-by-step explanation:
The data in the table shows quantity increase with the price increase and we want to analyze the relationship between price and quantity.
The data indicates a positive slope if we keep price on x-axis and quantity on y- axis.
Option C is reflecting this and correctly highlighted.
Answer:
Option C
Step-by-step explanation:
Because as we can see y is increasing with respect to x
So the slope is positive
The line should go up rightwards
Hence option C is correct
a window is 9ft long. It is x feet longer than it is high. What is the height of the window.
The height of the window is 9-x feet.
Given that, a window is 9 ft long. It is x feet longer than it is high.
We need to find what is the height of the window.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here, the length of the window = 9 ft
Then, the height of the window = x feet smaller than the length = 9-x feet
Therefore, the height of the window is 9-x feet.
To learn more about an expression visit:
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the postage to mail a letter that weighs 0.4 o will cost $_? (type an integer or a decimal)
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Answer:
$0.42
Step-by-step explanation:
Look at the function definition to see which part applies when x = 0.4. It will be the first part, which is defined for 0 < x < 1. That part tells you the postage for 0.4 oz is $0.42.
What is the value of 2x^2+5y-8 when x=2 and y=4
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
15/45 turned into a decimal
15/16 turned into a decimal
1/8 turned into a decimal
.875 turned into a fraction
.4375 turned into a fraction
.625 turned into a fraction
.03 turned into a fraction
40% turned into a fraction
Answer:
0.33333333
0.9375
0.125
7/8
7/16
5/8
3/100
4/10 or 40/100
Step-by-step explanation:
CAN SOMEONE PLZ HELP ME
Answer:
Slope intercept is y = mx+b.
SLOPE is m
and Y-INTERCEPt, where the thing touches the y axis is b.
The line touches the y axis at -6.
The slope is 2/3
y=2/3x-6
Step-by-step explanation:
Look at the attached image. I need help!!!
Answer:
$9
Step-by-step explanation:
5 x 9 = $45
Or
9+9+9+9+9
Answer:
$9
Step-by-step explanation:
45 ÷ 5 = 9
hope this helps
20 points help quick
Answer:
6s-36 is the answer . Hope this helps you.
Answer:
6(x-6) = 6x-36
Step-by-step explanation:
Answer the question please
To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].
Area:To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].
Side note:
It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).
Identify the domain of the function
Answer:
(-2,4)
Step-by-step explanation:
It will be the correct answer.......
2m(xy-3p)
Please solve
Answer:
2mxy - 6mp
Step-by-step explanation:
2m(xy - 3p)
2m × xy - 2m × 3p
2mxy - 6mp
give brainliest please I need it to level up
Going to sleep goodbye
can someone plz help me with this question
Answer:
it is she thought that the concentration of allicin might be to low.... decrease the number of new tumors
why? because its asking to selct the part where its revising her hypotheses and thats exaclty what she did she analyzed what happened.
Find the inverse of the function: f(x)=−14x+4
A f−1(x)=−4x+16
B f−1(x)=−12x+2
C f−1(x)=4x+16
D f−1(x)=12x+1
Answer:
[tex]\displaystyle f^{-1}(x) = -\frac{x}{14} + \frac{2}{7}[/tex]
Step-by-step explanation:
It is neither of these. To find the inverce, interchange the variables, then solve for y:
[tex]\displaystyle x = -14y + 4 \hookrightarrow \frac{x - 4}{-14} = \frac{-14y}{-14} \\ \\ f^{-1}(x) = -\frac{x}{14} + \frac{2}{7}[/tex]
I am joyous to assist you at any time.
Jessica, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The bridge is 200 feet above the water and Jessica's bungee cord is 130
feet long unstretched. When will Jessica's cord begin to stretch? Round your answer to two decimal places
Answer:
70 feet above the water will it begin to stretch.
Step-by-step explanation:
200 - 130 = 70