Answer: [tex]8 \sin x +7(\dfrac{\sin^3x}{3})+C[/tex]
Step-by-step explanation:
Consider [tex]\int \cos(x) (8+7 \sin^2(x)) \, dx[/tex]
Substitute t= sinx
then dt = cos x dx
[tex]\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C[/tex]
[tex][\int x^ndx=\dfrac{x^{n+1}}{n+1}+C][/tex]
[tex]=8 \sin x +7(\dfrac{\sin^3x}{3})+C[/tex]
Hence, [tex]\int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C[/tex]
SOMEONE PLEASE EXPLAIN THIS TO ME
17.5 = x
Step-by-step explanation:
1st you add 85 and 55 since those to angles are congruent (means similar) to 8x
2nd you get 140 after adding then
3rd since the angles are congruent you just divide the 140 by 8 to get the value of x
A dilation produces a smaller figure. Which is a possible scale factor?
0 -2
O 1/3
O 1
O4
Answer:
1/3
Step-by-step explanation:
The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?
Total number of children are 116 and adults are 160.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the number of children entered in park = x
And the number of adults entered in park = y
Fee for children = $20
Fee for adults = $35
According to given condition,
Total number of people = 276
⇒x+y = 276 (1)
Total fees collected = $7620
⇒20x+35y = 7620 (2)
By solving equation (1) and (2),
The value of x is 116
And value of y is 160
Total number of children are 116 and adults are 160.
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pls answer this if you do I mark brainlest
Answer:
268
Step-by-step explanation:
2×(10×8 + 10×3 + 8×3) = 268 yards
Answer:
[tex]268yd^2[/tex]
Step-by-step explanation:
The Surface Area formula for a rectangular prism is:
[tex]2(wl+hl+hw)[/tex]
where w is the width, h is the height, and l is the length.
Plug each value into the formula and solve:
[tex]2(8*10+3*10+3*8)=268yd^2[/tex]
If this helped, a brainliest answer would be greatly appreciated!
tfewfgeeffeefefefwefwewwefewewfefwfew
Answer:
I understand your pain
Step-by-step explanation: sadge
17
Write the integers that are closest to the number in the middle to complete the statement.
A class contains 10 sophomores, 15 juniors, and 20 seniors. A committee of 5 students is to be chosen. Each student is equally likely to be selected to serve on the committee. Let A be the event exactly 3 juniors are selected to serve on the committee. Let B be the event exactly 2 seniors are selected to serve on the committee.
Required:
a. Find P(A)
b. Find P(A| B)
Answer:
P(A) = 0.1620 , P(A|B) = 0.0707
Step-by-step explanation:
Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20
P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620
P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576
P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)
(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707
Solve for b. —11b + 7 = 40 b =
Answer:
-3
Step-by-step explanation:
-11(-3)+7=40
33+7=40
Is it 1,2,3 or 4
Look at the picture.
Thank u!
Answer:
4896 sq units
Step-by-step explanation:
A = lw
multiply 48 to 102
What is the least common denominator of 3/5 and 9/10?
Answer:
9/10
Step-by-step explanation:
3/5 = 6/10 = 9/10 = 9/10
I'm not 100% sure of this answer someone please correct me if I'm incorrect.
Find the area of the triange below
units given are cm, cm^2, cm^3
Answer:
[tex]A=150\ cm^2[/tex]
Step-by-step explanation:
The Hypotenuse of triangle, H = 25 cm
Base = 15 cm
Height = 20 cm
We need to find the area of the triangle. The area of a right-angled triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]
So, the area of the triangle is equal to [tex]150\ cm^2[/tex].
Pls help me plssss plsssss
Answer:
B
Step-by-step explanation:
how many 1/2's in 4? thats how many bows so 4 ÷ 1/2
Answer:
it's b.
debbie can make 8 bowls
Pls help extra points and mark brainlist
Answer:
Rock layers only (I think this is correct from the searches I've made)
Which triangle makes this statement true?
Answer:
Step-by-step explanation:
Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the plots and graphs.
Since, the x axis varies from -infinite to +infinite,
here, the y totally varies from -5 to +5,
hence, the option B.) is correct.
===>
[tex] - 5 \leqslant y \leqslant 5[/tex]
In the diagram shown , CD =7,DB=8, AE=5,m
Answer:
.
Step-by-step explanation:
Answer:
I don't understand the question
Step-by-step explanation:
can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c
5. What are the values of x and y? Be sure to show your work.
helpppp plz hurry
Answer:
x=35 y=72.5
Step-by-step explanation:
x is equal to 35 because they are vertical angles. y is equal to 72.5 because if you use the equation y + y + 35 = 180 and subtract 35 then divide 145 by 2, you would get 72.5
X
the sum of first ten numbers prime numbers
Answer:
Step-by-step explanation:
2 3 5 7 11 13 17 19 23 29
The sum = 129
You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?
The angle measurements in the diagram are represented by the following expressions
Answer:
∠A is equal to 73°
Step-by-step explanation:
Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°
With that we can take the two equations at the top, and add them together for a sum of 180°:
6x - 35° + 3x + 53° = 180°
9x + 18° = 180°
x + 2° = 20°
x = 18°
Now that we have x, we can solve for ∠A:
∠A = 6x - 35°
∠A = 6(18°) - 35°
∠A = 108° - 35°
∠A = 73°
We can test our answer by solving for ∠B. We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°. Now let's solve for be given x and the original equation, and see if we have the right numbers:
∠B = 3x + 53°
∠B = 3(18°) + 53°
∠B = 54° + 53°
∠B = 107°
Which matches up, showing us that we have the correct answer.
Kenneth runs 12 laps around a track in 15 min. How many minutes per a lap is that?
**choose your answer from the choices on Slide 2, but you must show how you got your answer on the chart, blank drawing space below, or explain in words**
Answer: 1.25 minutes per lap
Step-by-step explanation:
Her total time divided by total laps is 15 divided by 12, which is 1.25
Answer:
Kenith runs 0.8 laps a minute
Step-by-step explanation:
The entire graph of the function f is shown in the figure below.
Write the domain and range of f as intervals or unions of intervals.
A sample from a population with μ = 40 and σ = 8 has a mean of M = 36. If the sample mean corresponds to a z = –1.00, then how many scores are in the sample?
Answer:
There are 4 scores in the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]
We want to find n. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]
[tex]-4\sqrt{n} = -8[/tex]
[tex]4\sqrt{n} = 8[/tex]
Simplifying by 4
[tex]\sqrt{n} = 2[/tex]
[tex](\sqrt{n})^2 = 2^2[/tex]
[tex]n = 4[/tex]
There are 4 scores in the sample.
What is the area of a circular region whose
diameter is 12 centimeters?
Answer:
A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)
The area of the circular region will be 113 square centimeters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given by:-
A = πr²
Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.
r = d / 2
r = 12 / 2 = 6
The area of the region will be calculated as below:-
A = πr²
A = π x ( 6 ) x ( 6 )
A = 113.09 square centimeters
Therefore, the area of the circular region will be 113 square centimeters.
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2/7 letts gooo keep it goo yall doing great
Answer:
all of them
Step-by-step explanation:
I'm pretty surep
cuánto es 567 + 678 es igual
Answer: 1245 :)
Step-by-step explanation:
Answer:
la respuesta es 1245
567+678=1245
Which equation shown below would have a solution set to the system shown below?
x+ 2y = 4
3x - y = -1
1. 6x-2y = -1
2. 3x - y = 4
3. -2x + 3y = 5
4. 4x + y = -4
What is the range of f(x) = (three-fourths) Superscript x – 4?
Answer:
What is the range of f(x) = (three-fourths) Superscript x – 4?
* {y | y > –4}
** Left-brace y vertical line y greater-than three-fourths right-brace
*** {y | y < –4} <<<correct
**** Left-brace y vertical line y less-than three-fourths right-brace
Step-by-step explanation:
Edge 2021
Can someone help me please
Answer:
(3x+1)(x+9)
Step-by-step explanation:
Answer:
(3x+1)(x+9) is the answer
In which equation does X have a value of 25 A) 2 ( x - 25) = 25 B) 1/5 X + 20 = 25 C) 0.5 X + 12 = 25 D) -4X -75 = 25
Answer:
B
Step-by-step explanation:
1/5x +20 = 25
1/5x = 5
x = 25
Answer:
B
Step-by-step explanation:
A) 2(x-25)=25 x=25 2(25-25)=25 2(0)=25 No
B 1/5x+20=25 x=25 1/5*25=5 5+20=25 Yes
B is the answer! I hope this helped ^^