The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
How to set up the integral?The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]
Using the washer method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]
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Suppose the two-variable equation
y = 600 + 10x
models the cost y of manufacturing x flash drives. If the company spends $9000 on manufacturing flash drives, then to find how many drives were manufactured, we solve the equation
Answer:
The states of the variables must be equal to the equations of the whole equation, There is no relative extreme in this equation, so its derivative y = 10
Step-by-step explanation:
[tex]y = 600 + 10x = f(x) = 600 + 10x[/tex]
[tex]y = 10[/tex]
7(4-x) how do I do this problem
Answer:
28-7xStep-by-step explanation:
You distribute 7 and 4 and 7 and the xHopes this helps.k (a+b) = k*a + k*b
so
7 (4-x) = 7*4 + 7*(-x) = 28 - 7x
What is the value of X?
A) 17
B) 16
C) 16.5
D) 15
Answer:
answer is 16.5
Step-by-step explanation:
answer is 16.5
Nick did 780 push-ups in 30 days, how many push-ups did he do each day?Show all work and explain how you came to your answer.
The population of a town decreased by 2.5% each year. The variable y gives the population
after x years.
Answer: I assume you want an equation so thats what ill do.
y = x(0.975)
(Geometry)
I don’t know how to prove this
Answer:
Step-by-step explanation:
congruent sides
Answer:
soIve the congcreunt sides
Step-by-step explanation:
then ask ur parents
4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5
Answer:
25.1
Step-by-step explanation:
for perimeter you just add them all together
32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of the parallelogram in simplest radical form
The height of the parallelogram that has an area of (32 + √2) ft² and base of (4+√2) ft is 9(7 + 2√2) / 7 ft
How to calculate area of a parallelogram?area of parallelogram = bh
where
b = baseh = heightTherefore,
area = (32 + √2) ft²
base = (4+√2) ft
Therefore,
area of a parallelogram = bh
(32 + √2) = (4+√2)h
divide both sides by (4+√2)
h = (32 + √2) / (4+√2)
h = (32 + √2) / (4+√2) × (4-√2) / (4-√2)
h = (32 + √2) (4-√2) / 16 - 4√2 + 4√2 - 2
h = 128 + 32√2 + 4√2 - 2 / 14
h = 126 + 36√2 / 14 ft
h = 18(7 + 2√2) / 14 ft
h = 9(7 + 2√2) / 7 ft
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What is the answer to this?
Answer:
59.319
Step-by-step explanation:
V=a3=3.93≈59.319
(i) Express 0•05 as a common fraction.
(ii) Find the sum of the following;
a. 673•3 + 34•92
b. 6095 + 2540•40
c. 141 + 6•392
Answer:
please rate and mark as brainlest.
Step-by-step explanation:
(i) 1/20
(ii)
a.708.22
b.8635.4
c.147.392
please rate and mark as brainlest.
Please Help me Its A Math Problem !!! I will AWARD BRAINLIST...
Answer:
no, the vertex of Function A is 6 units lower
Step-by-step explanation:
The vertex of Function A can be found several ways:
putting the equation in vertex formevaluating the function on the axis of symmetrygraphing the function__
Vertex FormTo put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...
y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)
We have ...
y = 2x² +12x +10
y = 2(x² +6x) +10
We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.
y = 2(x² +6x +9) +10 -2(9)
y = 2(x +3)² -8 . . . . . . simplify to vertex form
The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.
__
Axis of SymmetryThe axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...
x = -12/(2(2)) = -3
The height of the vertex is the y-value for that x-value:
y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8
This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.
__
GraphingThe graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.
_____
Additional comment
Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.
PRESLEY
A drivers' education company offers a classroom instruction program or a full program which also includes driving.
In the fall session, they had 14 students for the classroom program and 5 students for the full program. The
students paid a total cost of $5082. In the spring session, they had 11 students for the classroom program and 9
students for the full program. The students paid a total cost of $5910.
Enter the cost, in dollars, of the classroom program.
Answer add all the numbers both sides then you put them in a caculator and what you do is put all the numbers you have in the question in the caculator and yur done
Step-by-step explanation:
Pls help me
What is the probability of a person randomly selecting a cheesecake, putting it back, and then selecting a cookie? Express your answer as a fraction, decimal, and percent.
3 are cookies
3 are cheesecake
4 are apple pie
The probability of selecting cheesecake and cookie is 9/100
What is probability?Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Total outcome = 3 + 3 + 4
Total outcome = 10
Pr(selecting cheesecake) = 3/10
Pr(selecting cookie) = 3/10
Pr(selectiing cheesecake and cookie) = 3/10 * 3/10
Pr(selectiing cheesecake and cookie) = 9/100
Hence the probability of selectiing cheesecake and cookie is 9/100
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Miranda deposits $100 into a savings account. she decides that she will make one deposit at the end of each month and that she will increase the amount that she deposits by 10% each month.
a. complete the table to show the amount of money miranda deposits at the end of each month for the first 4 months
Using an exponential function, it is found that the amounts deposited at the end of each month are given by:
At the end of the first month, she deposits $110.At the end of the second month, she deposits $121.At the end of the third month, she deposits $133.1.At the end of the fourth month, she deposits $146.41.What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that A(0) = 100, r = 0.1, hence the equation for the amount deposited after t months is:
[tex]A(t) = 100(1.1)^t[/tex]
Then, for each of the first four months:
[tex]A(1) = 100(1.1)^1 = 110[/tex][tex]A(2) = 100(1.1)^2 = 121[/tex][tex]A(3) = 100(1.1)^3 = 133.1[/tex][tex]A(4) = 100(1.1)^4 = 146.41[/tex]More can be learned about exponential functions at https://brainly.com/question/25537936
Please help i am confused
Answer: 12.16
Step-by-step explanation:
Alex constructs a circle that passes through all three vertices of the triangle shown.
E
Where will the center of the circle be located?
Answer: A, TRUST ME!
Step-by-step explanation:
How much, in total, did Noel spend to cash her three most recent paychecks?
Based on the amount that Noel cashed in each of her most recent paychecks, the amount she spent in total is $10.99.
How much did Noel spend?The bank directory shows that you are charged 1.99% of the amount being cashed as well as a check processing fee of $1.39.
The amount Noel spent is therefore:
= (1.99% x 100.53) + (1.99% x 119.38) + (1.99% x 122.52) + (1.39 x 3 checks)
= 2.00 + 2.38 + 2.44 + 4.17
= $10.99
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please answer it quickly
Hey there!
This is the formula:
V=πr²h
V=π(7)²5
V=49π5
V=245π
V≈769.7 ft³(cubic feet)
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
Choice a 10 cm
Step-by-step explanation:
Volume of a sphere; 4/3 x 3.14(r^3)
Since we dont know the radius aka r, we can put in the different values until we get what we are looking for :)
!!!used an online calculator for this!!!
Choice a: 4188.79
Choice b: 50965.01
Choice c: 38792.39
Choice d: 5575.2
Since none of the answers are coming out as 4846.59, I would go with the closest one, choice a.
I really hope this helps!!
Please rate!!
Have a wonderful day!!
5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13
Answer:
The answer would be A) 4
C.between which years would you guess the new stadium was built .explain your reasoning
Answer:
1996
Step-by-step explanation:
because the line chart started st 1996
The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
SA= 576 in^2
SA= 1024 in^2
V= 2240 in^3
Answer:
945 in²
Step-by-step explanation:
The scale factor of two figures is k.
The scale factor of their surface areas is k².
The scale factor of their volumes is k³.
1024 in² / 576 in² = 16/9 = k²
k = √(16/9) = 4/3
k³ = (4/3)³
k³ = 64/27
2240 in³ × 27/64 = 945 in²
a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.
Answer:
7.74 yd²
Step-by-step explanation:
Area (shaded) = Area (square) - Area (circle)Area (shaded) = 6 x 6 - 3.14 x 3 x 3 [ Note : radius of circle = 1/2 of the side of the square]Area (shaded) = 36 - 28.26Area (shaded) = 7.74 yd²Answer:
7.74 yd²
Step-by-step explanation:
The shaded area can be calculated by subtracting the area of the circle from the area of the square.
Given:
side length of square = 6 ydradius of circle = half of side length = 3 ydπ = 3.14Area of the square = side length × side length
= 6 × 6
= 36 yd²
Area of the circle = πr²
= 3.14 × 3²
= 28.26 yd²
Shaded area = area of square - area of circle
= 36 - 28.26
= 7.74 yd²
suppose that you are offered a job that pays you $2000 the first month with a raise every month after that. you can choose a 400$ raise or a 15% raise. which option would you choose? what if the raise were 10%,8% or 5%
Answer:
I would choose the $400 raise
Step-by-step explanation:
Well 15% of 2000 would be $300 dollar raise so i would choose the $400 dollar raise instead of the $300 raise because I get more money.
If it was a 10% raise you would get $200 dollar raise
If it was 8% raise you would get $160 dollar raise
And if it was a 5% raise you would get a $100 dollar raise
If you borrowed $2000 from your friend to buy a triathlon bike with a simple interest loan of 7%
annual interest rate for 6 months. How much money will you need to pay them back after the 6
months?
The amount of money that you will need to pay them back after the 6 months is $2,070.
Given the following data:
Interest rate = 7% = 0.07.
Simple interest = $2000.
Time = 6 months.
Conversion:
12 months = 1 year.
6 months = 0.5 year.
How to calculate simple interest.Mathematically, simple interest is given by this formula:
[tex]I=PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Substituting the given parameters into the formula, we have;
[tex]I=2000 \times 0.07 \times 0.5[/tex]
I = $70.
Amount to be paid;
[tex]A=I+P\\\\\A=70+2000[/tex]
A = $2,070.
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Select all ordered pairs that could be added to this relationship and keep it a function:
(-2, -5) (0, -1) (1, 1) (4, 7)
Answer:
that's 4 and 7 .............
The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.
22 + 22 x r = 30
22 x r = 30 - 22
r = 8 : 22
r = +36,36%
r = increase rate
The function f(x) equals the number of feet above sea level a rock climber is at x
minutes. After 45 minutes the climber reaches his maximum height of 800ft. above
sea level. He stays on the mountain for 2 hours.
What is the practical domain of f(x)?
For the function f(x), the practical domain will be [0 min, 165 min]
What is the practical domain?
We define the practical domain as the section of the domain that has practical meaning.
In this case, the part of the domain that we care about is only when the rock climber is on the mountain.
In this case, we assume that the climb starts at x = 0 minutes.After 45 minutes, the climber reaches the top, at x = 45 minutes.And the climber stays on the mountain for 2 hours more, until x = 120 min + 45 min = 165 minutes.After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]
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in the four graphs below, determine what transformation was used to transform ABC to A’B’C’. then, for each one, write the correct description of the transformation along with the algebraic notation
Answer:
the first one seems like a 90 degree rotation counter clockwise and a reflection across the y=1 line (or is it x=1 line id-k) and the second is an 180 degree rotation.
What is the quotient of 7.14 x 10^7 and 4.2 x 10^3 expressed in scientific notation?
Answer:
The quotient of these numbers is 1.7 × 10⁴
Scientifically in the notion, these would be the correct numbers.
The quotient of the given numbers is 1.7×10⁴.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
The given numbers are 7.14×10⁷ and 4.2×10³.
Here, quotient = 7.14×10⁷ ÷ 4.2×10³
= 1.7×10⁴
Therefore, the quotient of the given numbers is 1.7×10⁴.
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