its 25p^2-1
Step-by-step explanation:
the two sides are (5p+1) and (5p-1) so just multiply them
B
6
8
A
х
D
с
x = [?]
9514 1404 393
Answer:
3
Step-by-step explanation:
The angle bisector BD makes left-side segments proportional to right-side segments. We see that CD is half of CB, so we expect the same proportion between AD and AB.
AD/AB = CD/CB
x/6 = 4/8 = 1/2 . . . . fill in the values, simplify the fraction
x = 6(1/2) . . . . . . . . multiply by 6
x = 3
A loss of 10 pounds, can u help me please
Answer:
B
Step-by-step explanation:
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) sin(2x) sin(x) dx
Answer:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Required
Evaluate
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Rewrite as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {cos(x)\ sin(x)\ sin(2x)} \, dx[/tex]
In trigonometry:
[tex]sin(2x) = 2\ sin(x)\ cos(x)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2x) = \frac{2\ sin(x)\ cos(x) }{2}[/tex]
[tex]\frac{1}{2}sin(2x) = sin(x)\ cos(x)[/tex]
[tex]\frac{1}{2}sin(2x) = cos(x)\ sin(x)[/tex]
Substitute [tex]\frac{1}{2}sin(2x)[/tex] for [tex]cos(x)\ sin(x)[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin(2x)\ sin(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin^2(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, dx[/tex]
Let [tex]u = 2x[/tex]
Differentiate:
[tex]du = 2 \ dx[/tex]
Make [tex]dx[/tex] the subject
[tex]dx = \frac{1}{2}du[/tex]
Substitute [tex]\frac{1}{2}du[/tex] for [tex]dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, \frac{1}{2}du[/tex]
Substitute 2x for u
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(u)} \, \frac{1}{2}du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}*\frac{1}{2}\int\limits {sin^2(u)} \, du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
At this point, we apply the reduction formula:
Which is:
[tex]\int\limits {sin^n(u)} \, du = \frac{n-1}{2}\int\limits sin^{n-2}(u)\ du\ - \frac{cos(u)sin^{n-1}(u)}{n}\du[/tex]
Let n = 2; So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{2-2}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]sin^0(u) = 1[/tex]
So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits 1\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
Integrate 1 with respect to u
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du[/tex]
Recall that:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
So, we have:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}[ \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du][/tex]
Open bracket
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}u - \frac{cos(u)sin(u)}{8}[/tex]
Recall that: [tex]u = 2x[/tex] and [tex]du = 2 \ dx[/tex] [tex]dx = \frac{1}{2}du[/tex]
So, the expression becomes:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}2x - \frac{cos(2x)sin(2x)}{8}[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8}[/tex]
Add constant c
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex]
----------------------------------------------------------------------------------------
In trigonometry:
[tex]sin(2\theta) = 2sin(\theta)cos(\theta)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2\theta) = \frac{2sin(\theta)cos(\theta)}{2}[/tex]
[tex]\frac{1}{2}sin(2\theta) = sin(\theta)cos(\theta)[/tex]
Replace 2x with [tex]\theta[/tex]
[tex]\frac{1}{2}sin(2*2x) = sin(2x)cos(2x)[/tex]
[tex]\frac{1}{2}sin(4x) = sin(2x)cos(2x)[/tex]
----------------------------------------------------------------------------------------
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex] becomes
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{2*8} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{16} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{x}{4} - \frac{sin(4x)}{16} +c[/tex]
The solution can be further simplified as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
It is not possible to divide 5 by 0 because there is no number you can___ by 0 and get 5 .
Answer:
multiply
Step-by-step explanation:
Answer:
Yes, it's not possible to divide a number by 0.
Pls help extra points and mark brainlist
Answer:
20 + 35x
Step-by-step explanation:
We have the expression 5(4 + 7x) and are asked to distrbute it.
When distributing, it's very simple, all you have to do is multiply the number outside the parenthesis with the numbers inside the parenthesis.
Therefore :
(5(4) + 5(7x))
20 + 35x
how do you solve this equation:
7-3 2/3
Answer:
5
Step-by-step explanation:
Using the order operations, we go left to right, multiplying 3 by 2/3, giving us 2. Then we subtract 7 - 2 = 5.
A basketball player is 80 inches tall. A model of a basketball player is 5 inches tall. What is the scale factor?
Answer:
1/16
Step-by-step explanation:
divide 5 into 80 to get 16 which 5 is 1/16th of 80
The ferris wheel with a diameter of 150 feet at the fair is out of control and is moving at 60 degrees per second. How many miles per hour is someone moving as it spins out of control?
*There are 5,280 feet in a mile.
Answer:
Step-by-step explanation:
combine like terms to make a simple Hi, equivalent expression: 14-3+8x+7x
Answer:
11+15x
Step-by-step explanation:
combine 14 - 3 and 8x + 7x = 11 + 15x
People use water to cook, clean, and drink every day. An estimate of 17.3% of the water used each
day is for drinking. If a family uses 69.2 gallons of water a day for drinking, how many gallons do
they use every day?
Answer:
They use 4 gallons a day. Hope u helped!
The actual distance from Jarret's home to
Lake Mitchell is 140 miles. The distance on a map
is 3.5 inches.
What scale could have been used for the map?
O 1 inch = 4 miles
O =
1 inch = 40 miles
0 =
1 inch = 137.5 miles
O
1 inch = 490 miles
Answer:
1 inch= 40 miles
Step-by-step explanation:
u don't need one it's very easy
When three times a number is subtracted from 36, the result is 4 plus the number. What is the number?
Answer:
x = 8
The number is 8
Step-by-step explanation:
36 – (3x) = 4 + x
36 – (3 • 8) = 4 + 8
36 – 24 = 12
12 = 12
x = 8
I hope this helps.
0.36x=-1.8
0.36x/0.36=-1.8/0.36
x=-5
What property was applied to solve this equation below?
Answer:
b, the division property of equality
Step-by-step explanation:
You are dividing both sides of the equation by 0.36 to solve
What is the measure of the obtuse angle in this figure?
Its not 180
Answer:
C
Step-by-step explanation:
7x+5=180
7x= 175
x- 25
so 5(25)+4= 129
which is C
if my answer helps please mark as brainliest.
Please help I’m being timed
Answer:
A. 60 because 70 +50 =120 and 180 - 120 is 60 so your answer is 60
Step-by-step explanation:
60
Mentally solve 93 - 27 in as many ways as you can
Answer:
66
That is one way to solve it.
Answer:
93-27= 66
Step-by-step explanation:
1. Find the measure of <2
Answer:
Step-by-step explanation:
If quadrilateral is rhombus, then m∠2 = 60°
A number line graph is shown:
A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded
Based on the graph, which inequality is correct for a number that is to the right of −3?
A) 1 < −3
B)2 < −3
C)−2 > −3
D)−4 > −3 please help I am not good at this (10 points)
Answer:
C is the correct answer. - 2 is > - 3 because the lower the number of negative number is bigger
11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)
9514 1404 393
Answer:
y = -6x +9
y = 9·(1/3)^x
Step-by-step explanation:
In each case, the y-intercept is 9.
Linear
The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...
y = mx + b . . . . . . . slope m, intercept b
y = -6x +9
Exponential
The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...
y = 9·(1/3)^x
consider the two functions which statement is true
Answer:
The right answer is D
Step-by-step explanation:
The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
p = 421 - 376 over 376
Step-by-step explanation:
Which expression is equivalent to 6(c+8)?
Answer:
Step-by-step explanation:
You haven't provide expressions to choose from.
6(c+8) = 6c+48
Answer:
6c + 48
Step-by-step explanation:
The ratio of red to blue marbles is 4 to 5. If there are 36 marbles
how many are blue?
Answer:
There are 45 blue marbles
Step-by-step explanation:
Well if 4 times 9 is 36, then 5 times 9 is 45
= 36 : 45
40% of
a number is 8 more than the
number
Which is the number
please help me am I. troubles
Answer:
[tex] \frac{ {x}^{2} }{y(x - y)} + \frac{ {y}^{2} }{ - x(x - y)} [/tex]
[tex] \frac{ {x}^{2} }{y(x - y)} - \frac{ {y}^{2} }{x(x - y)} [/tex]
[tex] \frac{ {x}^{2} \times x - {y}^{2} \times y}{xy(x -y)} [/tex]
[tex] \frac{(x - y)( {x}^{2} + xy + {y}^{2}) }{xy(x - y)} [/tex]
[tex] \frac{ {x}^{2} + xy + {y}^{2} }{xy} [/tex]
Kelly has a rectangular fish aquarium that measures 18 inches long 8 inches wide and 12 inches tall what is the maximum amount of water the aquarium can hold?
Answer:
1728
Step-by-step explanation:
Volume=length*width*height
Vol=18*8*12=1728 cubic inches
Arithmetic question: You need to serve 58 people, 2 slices of pizza each. (Each pizza will be cut into 12 slices each.) (1) How many pieces of pizza do you need altogether? Identify the original improper fraction (or its reduced form) needed to solve this problem. Calculate the solution to give a mixed number answer? (2) How many pizzas do you need to order and how many extra slices will you have? Show any work needed to answer questions.
Answer:
5 order pizza
Step-by-step explanation:
12+12+12+12+12=60 I have 2 extra pizza
Evaluate the expression x + 8/27. Evaluate the expression for x=8/9
Answer: 32/27
Step-by-step explanation:
x = 8/9
x + 8 /27
[tex]\frac{8}{9} + \frac{8}{27} \\\\\frac{8}{9} * 3 = \frac{24}{27}\\\\\frac{24}{27} + \frac{8}{27}\\\\\frac{24 + 8}{27} \\\\\frac{32}{27}[/tex]
Answer:
Substitute the value of the variable into the equation and simplify.
Exact Form:
32 /27
Step-by-step explanation:
A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89. Quantitative Question 2a If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore
Answer:
Its associated z-score is -1.16.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.
This means that [tex]\mu = 12.01, \sigma = 0.89[/tex].
If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore
This is Z when X = 10.98. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10.98 - 12.01}{0.89}[/tex]
[tex]Z = -1.16[/tex]
Its associated z-score is -1.16.
What is the length of arc S shown below? Enter an exact expression. The angle in the figure is a central angle in radians.
Answer:
h
Step-by-step explanation:
n
Answer:
the answer is 18π/5
Step-by-step explanation:
A Central angle (θ) measured in radians tells us how many times the radius fits into the arc.
arc length ÷ radius = θ
arc length = θ · radius
S = 3π/5 · 6 cm
S = 18π/5 cm
Therefore the answer is 18π/5
