Answer:
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
Step-by-step explanation:
Given
Shape: Cylinder
[tex]Radius = 3h - 2[/tex]
[tex]Height = h[/tex]
[tex]Base\ Area = \pi (3h - 2)^2[/tex]
Required
Simplify the volume
The volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Substitute values for Base Area and Height
[tex]V= \pi(3h-2)^2*h[/tex]
Expand the bracket
[tex]V= \pi(3h-2)(3h-2)*h[/tex]
Open brackets
[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]
[tex]V= \pi (9h^2 -12h + 4) *h[/tex]
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )
a. 11
b. 20
c. 9
d. 10
Answer:
9
Step-by-step explanation:
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units
Answer:
169 units
13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The coordinate of the points is given below.
(4, 3) and (9, 15)
Then the distance between the two points (4, 3) and (9, 15) will be given as,
D² = (9 - 4)² + (15 - 3)²
D² = 5² + 12²
D² = 25 + 144
D² = 169
D = 13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
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The function f(x) =5x coverts x nickels to pennies. Find a function that converts X Pennys to Nichols then convert 50 pennies to Nichols. 
Answer:
[tex]f'(x) = \frac{1}{5}x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x[/tex] --- Nickel to Penny
Required
Determine the function that converts penny to nickel
This question implies that we determine the inverse of the function.
We have:
[tex]f(x) = 5x[/tex]
Represent f(x) with y
[tex]y = 5x[/tex]
Swap the positions of x and y
[tex]x = 5y[/tex]
Make y the subject by dividing both sides by 5
[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]
[tex]\frac{1}{5}x = y[/tex]
[tex]y =\frac{1}{5}x[/tex]
Replace y with f'(x)
[tex]f'(x) = \frac{1}{5}x[/tex]
Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]
Laura received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.96 per pound. After buying the coffee, she had $56.13
left on her card. How many pounds of coffee did she buy?
Answer:
Step-by-step explanation:
Hi.
I can help.
First what we want to do is take what she had before spending any money and then take what she had after.
So :
$80.00
and
$56.13
Now to find how much she spent we can subtract these two numbers like so :
80.00 - 56.13
=
23.87
So now we know she spent a total of $23.87 on coffee in pounds.
Now if each pound of coffee costs $7.96 we can divide this into how much she spent $23.87 to find the total amount of pounds she bought for $7.96.
So:
23.87 / 7.96
=
About 3
She bought 3 pounds of coffee.
Hope this helps,
Have a great weekend
Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation
Answer:
16 is the answer
I hope this answer help you
Answer:
Subtract 4 1st
Step-by-step explanation:
Subtract 4 of the cars since he gave them to his brother then divide between 4
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
Elena swan 14 laps in 42 minutes.how many minutes per lap did Elena swim?round your answer to two decimal places must be a decimal answer.
Answer: 4
Step-by-step explanation:
I need question 4 and 5
Answer:
4) x=14
Step-by-step explanation:
multiply the area by 2 to get 140then devide by 10 to find x
The value of y varies directly with x and y= 7.2 when x= 1.6, find y when x=2.4
Answer:
When x = 2.4, we have y = 10.8
Step-by-step explanation:
A direct variation of two variables, x, and y, can be written as:
y = k*x
Where k is a constant, called the constant of variation.
We know that y = 7.2, when x = 1.6
Then we can replace these two in the above equation to get:
7.2 = k*1.6
Now we can solve this for k:
7.2/1.6 = k = 4.5
Then our relation is:
y = 4.5*x
Now we want to find the value of y, when x = 2.4
Then we just need to replace x by 2.4 in the above equation:
y = 4.5*(2.4) = 10.8
y = 10.8
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
The solution is the point where the lines intersect! (3.5,-4)
What is the equation of the line? (Lol please answer I didn’t pay attention in class)
when the denominators are the same, the fraction with the _____ is the largest fraction
Bigger numerator
Means bigger fraction
When the denominators are the same, the fraction with the bigger numerator is the largest fraction .
What is the fraction?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.
Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .
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Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)
nswer:
(x +5)^2 = -2
Step-by-step explanation: w t f
We can subtract the constant to get ...
x^2 +10x = -27
Then add the square of half the x-coefficient:
x^2 +10x +5^2 = -27 +5^2
(x +5)^2 = -2 . . . . . . write as a square
help me do this please!!!
Answer:
Step-by-step explanation:
ok soo....
the area of the one like higher up would be 42
and then the area of the one like landscape would be 48
and then the area of like the box they make in the middle is 30
so ya i hope this helped
The price of an Item has been reduced by 70%. The original price was $90. What is the price of the item now?
Answer:
The price of the item is $27.
Step-by-step explanation:
$90 is reduced by 70% means: $90 - 0.70*$90 = (1 - 0.70)*$90 = 0.30*$90 = $27. The price of the item is $27 now.
Answer: 63
Reason: My brain
A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
1.7
3.8
2.9
3.6
3
3.4
2
2.6
3.1
2.8
Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x
Answer: A. ÿ=3.79-0.10x
Step-by-step explanation:I’m a genius
It was recently estimated that homes without children outnumber homes with children by about 8 to 7. If there are 3870 homes in a county, how many of them are homes without children?
Answer: x = 2,340 homes without children
There are 2,340 homes without children.
Step-by-step explanation:
'x' represent the number of homes without children
'y' represent the number of homes with children
x : y = 9 : 7
Since the total number of homes is 4160 means x + y = 4160.
From x + y = 4160 follows y = 4160 - x.
Plug y = 4160 - x into x : y = 9 : 7
x : (4160 - x) = 9 : 7
Simplify.
34x−7+2(x−2)
Answer:36x-11
Step-by-step explanation:
Answer: 36x-11
34x-7+2(x-2)
34x-7+2x-4
36x-11
Step-by-step explanation:
The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B has more fuel in its tank than Car A.
Answer:
its b
Step-by-step explanation:
I need help ASAP with both
Answer:
No for the first one, yes for the second.
Step-by-step explanation:
Plug in the given numbers and see if it works.
15(1) + 3(4) = 10
15 + 12 = 10.
27 ≠ 10
Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.
Now for the second problem, do the same thing.
10 = 1 + 9.
This is true, but remember to check the second equation just to be sure.
10 = 4(1) + 6
10 = 4 + 6
This is also true, so it (1,10) is a solution for the second system of equations.
Martha will build a pool in her backyard. She wants the pool to have a rectangular shape
and to be five meters long and three meters wide. What would the area in Martha's backyard that will be lost due to the construction of the pool? There are 3.28084 feet in
one meter.
A 15 square feet
B 80.729 square feet
C 161.459 square feet
D 322.918 square feet
9514 1404 393
Answer:
C. 161.459 square feet
Step-by-step explanation:
In feet, the dimensions of the pool are ...
(5 m)(3.28084 ft/m) = 16.4042 ft
(3 m)(3.28084 ft/m) = 9.84252 ft
Then the area of the pool is ...
(16.4042 ft)(9.84252 ft) = 161.458666584 square feet
about 161.459 square feet
_____
Additional comment
If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.
According to the Oxnard College Student Success Committee report in the previous year, we believe that 25% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class. For this year, you would like to obtain a new sample to estimate the proportiton of all Oxnard students who struggle in their classes because they don't study enough outside of the classrooms. You would like to be 99% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required? Do not round mid-calculation
Answer:
sdfghj
Step-by-step explanation:
How are these three numbers related. 50 1/2, 1/4, 202
Answer: If you divide 202/4=50.5 or 50 1/2
Step-by-step explanation:
Simplify the expression below.
5(7x+4y+1)+2(8x+3y+6)
help plz!
Answer:
51x+26y+17
Step-by-step explanation:
Answer:
51x + 26y + 17
Step-by-step explanation:
distribute
5(7x) + 5(4y) + 5(1) + 2(8x) + 2(3y) + 2(6)
35x + 20y + 5 + 16x + 6y + 12
51x + 26y + 17
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
The ratio of a model car's dimensions to the actual car's dimensions is 1/52. The model has a length of 3 in.
What is the length of the actual car? Enter your answer in feet.
The actual car is ___feet long.
Answer:
13 feet
Step-by-step explanation:
3 inches times 52 equals 156.
156 divided by 12 equals 13.
The length of the actual car if The ratio of the model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches, is 13 feet.
What is the scale factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.
The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).
Given:
The ratio of a model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches,
Calculate the actual length of the car as shown below,
Models car length / The actual length of the car = 1 / 52
3 / The actual length of the car = 1 / 52
The actual length of the car = 3 × 52
The actual length of the car = 156 inches
The actual length of the car = 156 × 0.0833 feet (1 inch = 0.0833)
The actual length of the car = 13 feet
Thus, the actual car is 13 feet long.
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-2 - 5r = 18
help mee
Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4
f(x) = -4x2 + 5x
Find f (6)
If the exchange rate of US dollar to Naira is 1:70, what's the value of $1.50 in Naira?
Answer:
$1.50 is 105 Naira
Step-by-step explanation:
If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...
1.5 x 70 = 105 (Naira)
Answer:
105 Naira
Step-by-step explanation:
Please see the attached image.
I hope this helps!
Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms
Answer:
60 liters
Step-by-step explanation:
Answer:
C. 60 kilograms
Step-by-step explanation:
The person above me is incorrect because liters is used on liquids