Can you help me solve this pls

The solution to the indefinite integral \(\int\limits {(3x-2)^{20}} \, dx\) is \(\frac{(3x-2)^{21}}{63} +C\).

Indefinite Integrals are the integrals that can be calculated by the reverse process of differentiation and are referred to as the antiderivatives of functions.

The process of finding the indefinite integral is called integration.

\(=\int\limits {(3x-2)^{20}} \, dx\\\\put \ 3x-2 = t\\\\3dx = dt\\\\=\frac{1}{3} \int\limits {(t)^{20}} \, dt\\\\=\frac{1}{63}t^{21} + C\)

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The variable can change depending on the equation and the constant doesnot change .

Here, the variables are a,n

The constants are 16,-30,50

Answer:

3

Step-by-step explanation:

The factors of 15 are: 1, 3, 5, 15

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

Then the greatest common factor is 3.

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

cos A = 36/45 = 4/5 answer is C

sin A = 27/45= 3/5

tan A =  27/36= 3/4

sec A = 45/36= 5/4

csc A = 45/27= 5/3

cot A = 36/27= 4/3

Answer:

n=1\2

Step-by-step explanation:

Answer:

3h² - 11h - 3

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Write expression

-7h + 3h² - 4h - 3

Step 2: Simplify

\(\blue{\bold{\underline{\underline{Answer:}}}}\)

\(\tt{\green{Simplified\:\:form = 3h^2 - 11h - 3}}\)

\(\orange{\underline{\underline{\bold{Step\:-\:by\:-\:Step\: Explanation:}}}}\)

\(\sf -7h + 3h^2 - 4h - 3\)

Combining all like terms,

\( \longrightarrow \sf 3h^2 - 7h - 4h - 3\)

\(\leadsto \underline{\boxed{\sf{\pink{ 3h^2 - 11h - 3}}}}\)

< DEF = < DGF

Thus a is the correct option .

Answer:

A.) DGF is the correct answer

Step-by-step explanation:

The set of 4 consecutive integers that add up to 250 are 61, 62, 63, and 64.

61 + 62 + 63 + 64 = 250

Answer:

61 , 62 ,63 , 64

STEP 1: Identify and Set Up

We are required to get the angle subtended by the arc DE.

We first acknowledge that it is part of the angles in a quadrant as this will help us find it.

STEP 2: Execute

First find angle DAE

The properties used to simplify the problem are:

From the question, we have the following parameters that can be used in our computation:

step 1: 2/7 • 53 • 7/2

Step 2: 53 • 2/7 • 7/2

Step 3: 53 • 1

Step 4: 53

In the above steps, we have the following properties used in problem.

Step 1: 2/7 * 53 * 7/2

Question

Step 2: 53 * 2/7 * 7/2

Commutative property of multiplication

Step 3: 53 * 1

Multiplicative identity

Step 4: 53

Multiplicative inverse

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Question

Choose all properties that were used to simplify the following problem:

step 1: 2/7 • 53 • 7/2

Step 2: 53 • 2/7 • 7/2

Step 3: 53 • 1

Step 4: 53

Answer:

the answer would be a number line with an open circle on -4, a closed circle on 3, and shading in between.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

On the map, the endpoint of the string of buoys are located at (6,18) and (18,34). The midpoint of the string is located at (12,26). Each anchor is located at the midpoint of one of the two halves of the string of  buoys. We can illustrate this using a sketch like this

The first anchor, A1, is located at the midpoint of (6,18) and (12,26):

(6+12/2, 18+26/2)= (9,22)

The second anchor, A2, is located at the midpoint of (12,26) and (18,34) :

(12+18/2, 26/34/2) = ( 15,30)

Step-by-step explanation:

The number x percent of 52 gives 20. Thus, the number x would be equal to 38.5.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

We need to find the number x percent of 52 which gives 20.

x% of 52 = 20

x/100 × 52 = 20

x = 20 × 100/ 52

x = 0.384615

convert it to a percentage by multiplying by 100

38.4615

round to the nearest tenth

38.5

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Answer:

4.5. inches

Step-by-step explanation:

Given that:

Thickness of first book = 2 1/4 inches

Thickness of second book = same as first = 2 1/4 Inches

Stacking both books together, height of stack will be :

2 1/4 inches * 2

Height of stack = 9/4 * 2

Height of stack = 18 /4 = 4.5 inches

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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Option C is correct interpretation. The publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.

In this example a book publisher published both fiction and nonfiction books, let F for fiction and N for nonfiction,

the standard deviation of total amount F+N=S=195.3,

Standard deviation is a measure which shows, how much variation such as spread, dispersion from the mean exists. the standard deviation indicates the typical deviation from the mean.

so, in this particular case we have standard deviation of total amount S=195.3.The interpretation of this value is the publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.

option C is correct interpretation for this case.  

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It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Answer:21 tree cards

Step-by-step explanation:

The test that he can conduct to determine if there is a significant difference in the enrollment between the semesters is the paired samples t-test. A paired samples t-test is a hypothesis test that determines whether there is a statistically significant difference between the means of two related groups (i.e., two groups of data that are related in some way).

A paired t-test is used when we have two samples in which each observation in one sample is related to one observation in the other sample. Paired t-test formula: t = (μd-μ0) / (sd / √n)Where:μd = the mean difference between the two related groupsμ0 = the null hypothesis mean differenced = the standard deviation of the difference sn = the number of pairs of observations Results:

Spring enrollment Fall  enrollmen tn=6n=6Mean = 32.0Mean = 37.7Sd = 8.08Sd = 8.24Paired t-test: t = -2.15 df = 5 p-value = 0.076

The p-value for this test is 0.076. This value is greater than the level of significance, 0.05, which means that we do not reject the null hypothesis that there is no significant difference between spring and fall enrollment in his department. Therefore, we can conclude that there is no statistically significant difference in the enrollment between the semesters.

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The required answer is a square cross-section with a side length of 3.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,

The cross-section we are interested in is a square that lies in the plane y=-1. To find this square, we need to find the value of x where the curve  y=x³ intersects the plane y=-1.

y=x³ and y=-1 intersect when,
x = (-1)^(1/3)
x = -1,  since (-1)³ = -1.

The curve y=x³ intersects the plane y=-1 again when x=2, since 2³=8 and -1<8. Therefore, the square cross-section perpendicular to the y-axis that we are looking for has a side length 2-(-1)=3.

Hence, the answer is a square with a side length of 3.

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Answer:

x = -1/2

Step-by-step explanation:

-2(8x - 1) = 4(3x + 4)

Simplify

-16x + 2 = 12x + 16

Subtract 12x from both sides

-28x + 2 = 16

subtract 2 from both sides

-28x = 14

divide both sides with -28

x = -14/28

simplify

x = -1/2

Answer:

x = -1/2

Step-by-step explanation:

-2(8x - 1) = 4(3x + 4)

-16x + 2 = 4(3x + 4)

Step-by-step explanation:

let f(x) be y

y=x+2

make x the subject of the formula

x=2-y

Answer:

Step-by-step explanation:

The predicted value of y is 436.6 when x1 equals 15 and x2 equals 33 in this multiple regression model.

To predict y using the given sample regression equation, you need to plug in the given values of x1 and x2 into the equation and then solve for y.

1. Write down the sample regression equation: yˆ = 157 + 12.7x1 - 2.7x2
To predict y when x1 equals 15 and x2 equals 33, we plug those values into the sample regression equation:
yˆ = 157 + 12.7(15) + 2.7(33)
yˆ = 157 + 190.5 + 89.1
yˆ = 436.6
2. Substitute the given values of x1 (15) and x2 (33) into the equation:

yˆ = 157 + 12.7(15) - 2.7(33)

3. Calculate the values within the parentheses:

yˆ = 157 + 190.5 - 89.1

4. Perform the addition and subtraction:

yˆ = 436.6

So, when x1 equals 15 and x2 equals 33, the predicted value of y (rounded to one decimal place) is 258.4.

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Answer:

it is already.

Step-by-step explanation:

4/12:3/12 is 1/3:1/4

Answer:4/3

Step-by-step explanation:(1/3)/(1/4)

(1/3)(4/1)

4/3

Answer:

m∠B =  

✔ 101

°

m∠C =  

✔ 79

°

m∠D =  

✔ 101

°

Step-by-step explanation:

Answer:

The answer above is right!

The correct answers are:

First box: option C. 101

Second box: option B. 79

Third box: option C. 101

Step-by-step explanation:

Just got it right on edge - Hope it helps :)

Brainliest would be greatly appreciated :D

The probability of the stick hitting a line is always 1 or 100%.

The probability that the stick will hit a line depends on the length of the stick compared to the spacing between the lines.

Since the spacing between the lines is 1, the stick will hit a line if its length is greater than or equal to 1.

Let's assume that the stick is randomly thrown and can land at any position on the plane with equal probability.

If we place the stick at any point on the plane, it will hit a line if its length is greater than or equal to the distance between the two closest lines on either side of it. Since the lines are spaced 1 unit apart, the distance between the two closest lines on either side of the stick will always be less than or equal to 1.

Therefore, the probability that the stick will hit a line is equal to the ratio of the length of the stick to the spacing between the lines, which is 1/1 = 1.

So, the probability that the stick will hit a line is 1 or 100%.

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Answer:

An isosceles triangle

SAS information is known

7.35

72 degrees

13.1 feet

Step-by-step explanation:

The sum of lengths of the two diagonals in a rectangle whose dimensions are 5 by 12 units is 26 units.

As, The length of the diagonal of rectangle

d = √l² + w²

d = √12² + 5²

d= √144+ 25

d= 13 unit

Thus, the sum of lengths of the two diagonals in this rectangle is

= 13 + 13

= 26 unit

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