Step-by-step explanation:
sin⁴A + sin²Acos²A = sin²A
Proving the left hand side ( LHS)
That's
sin⁴A can be written as ( sin²A)(sin ²A)
So we have
( sin²A)(sin ²A) + sin²Acos²A
Next factor sin²A out
That's
sin²A ( sin²A + cos²A)
Using trigonometric identities
That's
sin²A + cos²A = 1Simplify the expression
That's
sin²A × 1
We have the final answer as
sin²AAs proven
Hope this helps you
The region between the graphs of X = y2 and X = 5y is rotated around the line y=5. The volume of the resulting solid is_________.
Answer and Step-by-step explanation:
The volume of the resulting solid is shown below:-
The lines in for
y can be y = sqrt(x) using square root
and y = x ÷ 5
In this, the intersect is done when sqrt(x) = x ÷ 5 using square root
Now
x = x^2 ÷ 25
x = 0
or
x = 25
so outermost is x ÷ 5 innermost is sqrt(x) using square root
Therefore A is
= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2) using square root
from 0 to 25
= 625 pi ÷ 6
3193.55767741 round to the nearest thousand
Answer:
3000
Step-by-step explanation:
Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.
If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.
Answer:
3,000
Step-by-step explanation:
The answer is 3,000 because:
1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.
2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.
Hope this helps!
Suppose PR = 54, solve for QR
We will use the segment addition postulate.
PQ + QR = PR
4x - 1 + 3x - 1 = 54
7x - 2 = 54
7x = 56
x = 8
So QR is 3(8) - 1 or 24 - 1 which is 23.
Answer:
QR is 23
Step-by-step explanation:
PR = 54 Which means:(4x-1)+(3x-1)=54We can solve for x to find what QR is:7x-2 =54 7x=56x=8Plug in x for QR equation:3(8)-1 = 24-1=2323 is the answerYou want to get an idea of how much your children will benefit from the education system in a state. Which column of numbers will you use for your analysis? Why?
use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.
Step-by-step explanation:
Answer:
I'd use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.
-PLATO
one thousand seven thousand,eight hundred ten number form.
Answer:
one hundred seven thousand?
Step-by-step explanation:
107,810
How do you do this question?
Answer:
1) ∫₀¹ 2π x (x − x²) dx
4) ∫₀¹ π ((√y)² − y²) dy
Step-by-step explanation:
The solid formed is a hollow, upside down cone. We can either use washer method or shell method to find the volume.
If we use washer method, the thickness of the washers is dy. The outside radius is R = x₂ = √y, and the inside radius is r = x₁ = y.
Therefore, the volume of each washer is:
dV = π (R² − r²) t
dV = π ((√y)² − y²) dy
The total volume is the sum of all washers from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ π ((√y)² − y²) dy
If we use shell method, the thickness of each shell is dx. The radius of each shell is r = x. The height of each shell is h = y₂ − y₁ = x − x².
Therefore, the volume of each shell is:
dV = 2π r h t
dV = 2π x (x − x²) dx
The total volume is the sum of all shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π x (x − x²) dx
Suppose (-6,- 1) is a point on the graph of y=g(x).
(a) What point is on the graph of y = g(x+4)-5?
(b) What point is on the graph of y= - 49(x-7)+4?
(c) What point is on the graph of y = g(4x + 2)?
(a) What point is on the graph of y = g(x + 4) - 5?
Please help, I don't understand, please
5+(-5)
Answer: 0
Step-by-step explanation: To make this easier, ignore the addition sign (for this one, at least), so just do 5-5
Answer: 0
Step-by-step explanation:
A cylinder has a volume of 320x cubic inches and a height of 5 inches.
What is the radius of the cylinder?
Answer: 8 inches
Step-by-step explanation:
320π in³= π (r²) (5 in)
64 in² = r²
r = 8 in
(5^3)(5^2)(5^4)(5^7)
Answer choices
625^16
5^168
625^168
5^16
in a survey of 23 college students it was found that 17 were taking an english class 10 were taking a math class and 8 were taking both english and math. how many students were talking a math only class?
a. 6
b. 14
c. 2
d. 4
Answer:
2
Step-by-step explanation:
out of 10 that were taking math 8 of them were also taking english. 10-8=2
Which graphs display a directly proportional relationship? Check all that apply.
Answer:
A, C, and D
Could you please give me Brainliest?
Answer:
answers are a c d
Step-by-step explanation:
look at the lines that' how you find your answer
From the drawing above, Bryan discovered that his area was 2 less than
Jon's area. What is the reasonable value of x?
Answer:
1
Step-by-step explanation:
The local reader's club has a set of 64 hardback books and a set of 24 paperbacks. Each set can be divided equally among the club members. What is the
greatest possible number of club members?
A. 6
B.192
C. 12
D. 8
Answer:
D
Step-by-step explanation:
Yw UVU
What is the solution to 10(3x−5)=−20
Answer:
x = 1
Step-by-step explanation:
Apply the distributive property. It should now look like this: 30x - 50 = -20Add 50 to each side, so it now looks like this: 30x = 30Divide each side by 30 to cancel out the 30 next to x. It should now look like this: x = 1I hope this helps!
State the size of angle OAB, giving a reason for your answer
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
This week Kent worked 15 hours at 12.50 an hour his paycheck including his commission
Answer:
$187.5
Step-by-step explanation:
if he worked for 15 hours at $12.50 an hour he would have made $187.5
Answer:
187.50
Step-by-step explanation:
Introduction to interval notation
What is the domain and range?
Answer:
1,7
Step-by-step explanation:
you go up one and over seven and i'll be on the other point
which equation represents a line that passes through (2,-1/2) and has a slope of 3
plzzz help me
Answer:
C
Step-by-step explanation:
The slope-point formula is y-y₁=m(x-x₁). So if you plug in your information you get C.
Josh works as a tutor for 11$ an hour and a waiter for 15$ an hour. This month he worked 106 hours. What expression solves this?
Answer: -4t + 1590
Step-by-step explanation:
Given : Josh works as a tutor for $11 an hour and as a waiter for $15 an hour.
This month, he worked a combined total of 106 hours at his two jobs.
Let t be the number of hours Josh worked as a tutor this month.
Then, the number of hours Josh worked as a waiter = 106 -t
Then, the total money earned this month ( in dollars)
= 11 (No. of hours worked as a tutor)+ 15 (No. of hours worked as a waiter)
=11(t) + 15(106-t)
= 11t+1590-15t
= -4t+1590
Hence, the expression for the combined total dollar amount he earned this month =
The algebraic expression to this problem is 11x + 15y = 106
What is algebraic expression?Algebraic expressions have variables, numbers, and operations. A variable is a letter that represents an unknown amount.
Let number of hours Josh worked as a tutor be x hour.
Let number of hours Josh worked as a waiter be y hours.
The equation becomes -
11x + 15y = 106
Learn more about algebraic expression here
https://brainly.com/question/19245500
#SPJ2
{x|x is a living U.S. president born after 1700}
Answer: I HOPE IT HELPS
was the tenth president of the United States ... President Harrison died just one month after taking office, and Tyler became the ... John Tyler was born on March 29, 1790; like his future running mate, William ... Tyler was of frail health, thin and prone to diarrhea throughout life.
Step-by-step explanation:
Solve 5x + 2 = 3x -8
Step-by-step explanation:
5x-3x=-8-2
2x=-10
x=-10/2
x=-5
Answer: x=-5
Step-by-step explanation:
Given
5x + 2=3x -8
Subtract 2 on both sides
5x + 2 - 2=3x - 8 - 2
5x=3x-10
Subtract 3x on both sides
5x - 3x=3x - 10 -3x
2x=-10
Divide 2 on both sides
2x / 2=-10 / 2
x=-5what is 360 x 4500 plsssssssssssssssss help
Answer:
1,620,000
Step-by-step explanation:
360×4500
=1,620,000
is the answer
Hey there!
[tex]Answer:\boxed{1,620,000}[/tex]
[tex]Explanation:[/tex]
[tex]360*4500[/tex]
Let's multiply to get our answer.
[tex]360*4500=1,620,000[/tex]
[tex]1,620,000[/tex]
Hope this helps!
The point (3,65) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph?
Answer:
Step-by-step explanation:
ohhh
Answer:
A B and E all fall on the line expressed.
Step-by-step explanation:
Solve for all possible values of x.
Vx+7-11=2
Ox= 6
O x = 20
Ox= 162
Ox = 169
Laundry detergent comes in 2 sizes. Box A is $7.62 for 2.5 Litres, Box B is
$5.74 for 1.5 Litres. Which is the better deal and by how much?
Answer:
$7.25 = 2.5, so divide by 7.25 by 5 = 1.45 <- better deal & $0.46333333333 per litre.
5.74 = 1.5, so divide 5.74 by 3 = 1.91333333333
Step-by-step explanation:
Why 3 and 5 - 0.5 is 5 times 2.5 and so is 0.5 times 3= 1.5
1.91333333333 - 1.45 = $0.46333333333 per litre.
i have trouble dividing
Answer:
I'm Sorry, do you have a question you need help with?
Step-by-step explanation:
You take your car to an auto repair shop. The charge for repairs is $48 per hour plus the cost of parts. If
the car needs new parts that cost $256 and the final bill was $616, then how long did it take to repair the
car?
Answer:
7.5 Hours
Step-by-step explanation:
48x + 256 = 616
- 256 = -256
-----------------------------------
48x = 360 divide both side by 48
----- -------
48 48
x = 7.5
5) Which of the following expressions has
the greatest value?
A-
2-3
B-2-(-3)
C2-(-3)
A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?
Answer: 0.04
Step-by-step explanation:
Number of trips (n) = 40
Red = 30 seconds, Green = 30 seconds
P(red) = p(green) = 30/ (30+30) = 0.5
P(not red) = p(not green) = 1 - 0.5 = 0.5
P(x) = nCx * p^x * (1-p)^(n-x)
n = number of trials
x = number of outcome desired
P = probability of success of desired outcome
P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)
Hence, to save computation time, we use the binomial distribution probability calculator :
P(X > 25) = 0.04