What’s the correct answer for this?

Answer:

I dont know what the answer is exactly

One way to do this is to exploit the Pythagorean identity,

[tex]\cos^2x+\sin^2x=1[/tex]

to rewrite

[tex]\cos^3(3x)=\cos(3x)\cos^2(3x)=\cos(3x)(1-\sin^2(3x))[/tex]

so that

[tex]\displaystyle\int\cos^3(3x)\sin^7(3x)\,\mathrm dx=\int\cos(3x)\left(\sin^7(3x)-\sin^9(3x)\right)\,\mathrm dx[/tex]

Then substitute [tex]u=\sin(3x)[/tex] and [tex]\frac{\mathrm du}3=\cos(3x)\,\mathrm dx[/tex] to get the integral

[tex]\displaystyle\frac13\int u^7-u^9\,\mathrm du=\frac13\left(\frac{u^8}8-\frac{u^{10}}{10}\right)+C[/tex]

[tex]=\boxed{\dfrac{\sin^8(3x)}{24}-\dfrac{\sin^{10}(3x)}{30}+C}[/tex]

which is one correct form of the antiderivative. There's no reason we can't use the identity from before to express the integrand in terms of powers of cos(3x) instead.

Answer:

a. Option D

b. H₀ : p₁ = p₂, H₁: p1 ≠ p₂

Step-by-step explanation:

a. A hypothesis test regarding the difference between two population proportions from independent samples. This type of test is used to compare the proportions of two populations. This test is usually appropriate under the conditions that:

The sampling method for each population is simple random sampling.

The samples are independent.

Each sample includes at least 10 successes and 10 failures.

Each population is at least 20 times as big as its sample.

b. Null hypothesis: H₀ : p₁ = p₂

   Alternative hypothesis: H₁ : p₁ ≠ p₂

Answer:

312, 313, and 314

Step-by-step explanation:

Since the three numbers are consecutive, each one is one larger than the last. Therefore, we can express them as x, (x+1), and (x+2). Therefore:

[tex]x+(x+1)+(x+2)=939 \\\\3x+3=939 \\\\3x=936\\\\x=312\\\\x+1=313\\\\x+2=314[/tex]

Hope this helps!

(Diagram of the box plots is attached below)

Options:

A. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights

B. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights

C. 25% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights

D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights

Answer:

D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights

Step-by-step Explanation:

Based on the box plots given in the diagram attached below, the median height of volleyball players is 79.

Also, from the data set of basketball players, we can approximately infer that the heights from Q2, Q3, and Q4 make up 75% of the data set of the heights of basketball players.

Heights at Q2 in the data set of basketball players starts from 79, which is equal to the median height of volleyball players.

Therefore, from the displays, we can conclude that "75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights".

Answer:

[tex]49/12[/tex]

Step-by-step explanation:

[tex]6\frac{1}{3} -2\frac{1}{4}[/tex]

[tex]\frac{19}{3} -\frac{9}{4}[/tex]

[tex]\frac{49}{12}[/tex]

Answer:

4 1/12

Step-by-step explanation:

6 1/3 - 2 1/4

Get a common denominator of 12

6 1/3*4/4   - 2 1/4*3/3

6 4/12 - 2 3/12

4 1/12

Diameter of round bud is 22.29 m.

Given that,

The circumference of round bud = 70 m

We have to calculate its diameter,

Since we know that,

Its shape is circular,

Since,

The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary. The area of a circle, on the other hand, specifies the territory it occupies. If we open a circle and draw a straight line through it, the length of the line equals the circumference.

S,

⇒ Circumference = 2πr

Where r is radius of circle,

⇒ 70 = 2πr

⇒   r = (70/2x3.14)

⇒   r = 11.14

Here we know that,

Diameter = 2r

Hence,

Diameter = 22.29 m

To learn more about circle visit:

https://brainly.com/question/29288238

#SPJ2

Answer:

4/r -1      

Step-by-step explanation:

i did khan

but sorry if its pooop

Answer:

  none of the options shown

Step-by-step explanation:

You can add 2x+2 to the inequality and get ...

  8 ≥ 2x

  4 ≥ x . . . . . divide by 2

This means that there should be a solid circle at x=4, and shading should be to the left of that.

None of the three graphs shown here is appropriate. (We don't see Option 2.)

__

Attached is the output of a graphing calculator. The solid line at x=4 corresponds to a filled dot on a number line plot.

Answer:

184 cm³

Step-by-step explanation:

Volume= base*height

V= 20 cm²*9.2 cm= 184 cm³

Answer:184 cm³

Step-by-step explanation: I took the test a while ago

Answer:

True

Step-by-step explanation:

Multiply the top the same as the bottom

6*2=12

10*2=20

Answer:

The answer is true.

Step-by-step explanation:

6/10 = 12/20 because if you multiply 2 to the numerator and the denominator of 6/10, then the resulting fraction is 12/20. Because 12/20 = 12/20, the answer is true.

Answer: it is a right tailed probability

Step-by-step explanation:

Population proportion = 26.9/100 = 0.269

We are dealing with the fact that the probability that the mean bond percent for the sample will be at least 28. This means that the sample proportion is 0.28 or above. This means that it is greater than the population proportion of 0.269

The hypothesis would be

For null hypothesis

p = 0.269

For alternative hypothesis,

p > 0.269

The inequality sign means that it is right tailed.

Answer:

I think "−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C" is the right answer

Answer:

9.5 ft

Step-by-step explanation:

The perimeter is equal to

P =2(l+w)

29.6 = 2(5.3+z)

Divide each side by 2

29.6 /2 =2/2(5.3+z)

14.8 = 5.3 +z

Subtract 5.3 from each side

14.8-5.3 = z

9.5 =z

Answer:

Z=9.5

Step-by-step explanation:

Perimeter(of a triangle)=2(5.3+z)

29.6=10.6+2z

2z=29.6-10.6

2z=19(then divide both sides by 2 to find the value of z)

z=19/2

z=9.5 ft

To check your answer

29.6=2(5.3+9.5)

29.6=2(14.8)

29.6=29.6 so your answer is correct.

Answer:

P(3) is true since 2(3) - 1 = 5  < 3! = 6.  

Step-by-step explanation:

Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3

Basis: P(3) is true since 2(3) - 1 = 5  < 3! = 6.  

Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:

2(k+1) - 1 = 2k + 2 - 1

≤ 2 + k! (by the inductive hypothesis)

= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.

Answer:

Hello There Again. The correct answer 14.

Explanation: Because you need to do Multpliy 2 and 4 and then add again 8 and 6 to get 14 2x4=8+6=14.

Hope It Helps! :)

Answer:

Well, I think the the right answer is 14. Because, 2 x 8 + 6 - 4 - 5 + 1= 14

Hope This Helps!!~

Good Luck!~

Answer:

See explanation and attachment.

Step-by-step explanation:

One of the ways to represent polynomial is the use of algebraic tiles.

To represent the polynomial x²-5x-1, we would use algebraic tiles to represent each of the three terms.

Algebra tiles come with different colors and sizes. Each size is equivalent to a degree of different monomials.

The x² tile is a monomial with degree of 2, the x tile is a monomial with degree of 1 and the unit tile (constant) is a monomial with degree of 0.

Let the shaded tiles represent the positive tiles and the unshaded tile represent the negative tiles.

Find attached the diagram for the tiles.

To represent the polynomial x² - 5x - 1, we would need 1 shaded x² tile, 5 unshaded x tiles and 1 unshaded unit tile. Then we would arrange the tiles to correspond with the polynomial.

Answer:

Answer:

(drag one tile) +x 2 into the product then click check.

(drag five) -x    into the product then click check.

(drag one) - tile into the product and click check..

Step-by-step explanation:

Answer:

The probability is P=0.9545.

The empirical rule is consistent, as it would have estimate a probability of 95%.

Step-by-step explanation:

We have a random variable with mean 31.8 in. and standard deviation of 2.4 in.

We have to find the probability that a randomly selected part from this supplier will have a value between 27.0 and 36.6 in.

If we assumed a normal-like distribution, we can calculate the z-score for both values:

[tex]z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{27-31.8}{2.4}=\dfrac{-4.8}{2.4}=-2\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{36.6-31.8}{2.4}=\dfrac{4.8}{2.4}=2[/tex]

That can be interpreted as an interval that is 2 standard deviations wide, centered on the mean.

This interval has a probability of:

[tex]P(27.0<x<36.6)=P(-2<z<2)=0.9545[/tex]

If we apply the empirical rule, with 2 standard deviations from the mean, we would have estimate a probability of 95%, which is accurate.

Answer:

16

Step-by-step explanation:

The midpoint theorem says that if a line bisects the two sides of the triangle , it is parallel to the third side and half of it

Thus the x = 1/2 × 32 = 16

Answer:

The equation can be y = -7x+11

Answer:

12.5 feet

Step-by-step explanation:

He only needs 10/12 of a 15 foot long piece of wood. We need to find 10/12 of the length of the wood.

That is:

10/12 * 15 = 12.5 feet

He only needs 12.5 feet of the piece of wood.

Answer:

$1.68

Step-by-step explanation:

Remember that cents are in the hundredths place. So think of it as rounding to the nearest hundredth place. 1.6845 ---> 1.68

Answer:

$1.68

Step-by-step explanation:

old rhyme i learnt when i was little but it helps with rounding:

5 or more let it soar, 4 or less let it rest

Answer:

c = 197.2

b = 192.9

Angle C = 90°

Angle A = 12°

Step-by-step explanation:

the side a = 41 and the angle B = 78°, we can use a sine and a tangent to find the hypotenuse and the other side.

Using a sine, cosine, or tangent depends on which side and angle you know.

sin A =opposite/hypotenuse =  a/c

Cos B = adjacent/hypotenuse = a/c

Cos78 = 41/c

c = 41/Cos 78

c  = 41/0.2079

c = 197.21

c = 197.2

Since it is a right angle triangle, let's apply Pythagoras theorem to find the other side.

Hypotenuse ² = opposite ² + adjacent²

c² = a² + b²

197.2² = 41² + b²

b² = 197.2² - 41²

b² = 38887.84 - 1681

b² = 37206.84

b =√37206.84

b = 192.89

b = 192.9

Angle C = 90°

Angle A = 180-(90 +78)

(sum of angles in a triangle =180°)

Angle A = 180-168

Angle A = 12°

Answer:

Step-by-step explanation:

Find the characteristic polynomial of the​ matrix, using either a cofactor expansion or the special formula for 3times3 determinants.​ [Note: Finding the characteristic polynomial of a 3times3 matrix is not easy to do with just row​ operations, because the variable lambda is​ involved.]

[tex]\texttt {let} A = \left[\begin{array}{ccc}4&-4&0\\-4&7&0\\4&6&5\end{array}\right][/tex]

The characteristics polynomial of A is [tex]|A- \lambda I|[/tex]

[tex]\to|A-\lambda I|=\left[\begin{array}{ccc}(4-\lambda)&-4&0\\-4&(7-\lambda)&0\\4&6&(5-\lambda)\end{array}\right][/tex]

[tex]=(4-\lambda)[7-\lambda)(5-\lambda)-0]+4[-4(5-\lambda)-0]+0[-4\time 6-4(7-\lambda)]\\\\=(4-\lambda)[35-7\lambda-5\lambda+\lambda^2]+4[-20+4\lambda]+0\\\\=(4-\lambda)[35-12\lambda+\lambda^2]-80+16\lambda\\\\=140-48\lambda+4\lambda^2-35\lambda+12\lambda^2-\lambda^3-80+16\lambda\\\\=-\lambda^3+16\lambda^2-67\lambda+60[/tex]

Answer:

Step-by-step explanation:

1. 30 plants

the rest were confusing sorry

Answer:

orchestra seats: main seats: balcony seats: 160: 400: 240

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

[tex]x +y+z=800 ..... (1)[/tex]

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

[tex]\Rightarrow 40x + 30y+20z=23200 ...... (2)[/tex]

If all the main and balcony seats are​ sold, but only half the orchestra seats are​ sold, the gross revenue is $ 20 comma 000.

[tex]\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)[/tex]

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

[tex]\Rightarrow 20x = 3200\\\Rightarrow x = 160[/tex]

Putting value of x in equations (1) and (2):

Equation (1)

[tex]\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)[/tex]

Equation (2)

[tex]\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)[/tex]

Equation (5) - 2 [tex]\times[/tex] Equation(4):

[tex]\Rightarrow y =400[/tex]

Putting value of y in equation (4):

[tex]400 +z = 640\\\Rightarrow z =240[/tex]

Hence, answer is:

orchestra seats: main seats: balcony seats: 160: 400: 240

Answer:

The first graph

Step-by-step explanation:

when x is equal to something it is always up

y = 2 would be #4

Answer:

The first graph

Step-by-step explanation:

Personally, I use the acronym HAY and VAX to remember this rule. This means that horizontal lines always correlate with y and vertical lines always correlate with x. A horizontal equation (y=#) is valid, so to say, whereas vertical (x=#) is undefined. It is undefined because there are multiple values of y for the same value of x. You can remember this with the following scenario: A person will always be able to walk in a straight line without getting injuries, but if a person tries to walk up the wall, they will fall and can break their bones, making their body "undefined"