Which is the quotient and remainder found when dividing 9x^3+3x^2-21x-7 by 3x+4
PLEASE HELP ASAP

Answer:

9.42 meters

Step-by-step explanation:

radius= 1.5

double the radius to get the diameter

diameter= 3

to find the circumference the equation is π × d

3.14 × 3= 9.42

circumference= 9.42

Answer: B

The guy above is wrong! The correct answer is 7.07, and I double checked with a circumference calculator.

Step-by-step explanation:

-To find the circumference of a circle, you can use the formula C = πd.

-By using this formula the answer found is 7.07

This is 100% the right answer, trust me.

Brainliest?

The partial fraction decomposition is \(\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}\)

The fraction is given as:

\(\frac{8x + 19}{(x + 8)(x - 1)}\)

Split the fraction as follows:

\(\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}\)

Take the LCM

\(\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}\)

Cancel the common factors

8x + 19 = Ax - A + Bx + 8B

By comparison, we have:

Ax + Bx = 8x

-A + 8B = 19

This gives

A + B = 8

-A + 8B = 19

Add both equations

9B = 27

Divide by 9

B = 3

Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

A = 5

So, we have:

\(\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}\)

Hence, the partial fraction decomposition is \(\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}\)

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Answer:

answer is B

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )

m = \(\frac{27-3}{9-1}\) = \(\frac{24}{8}\) = 3

\(\mathbb{FINAL\:ANSWER:}\)

\(\huge\boxed{\sf\:Slope=3}}\)

\(\mathbb{SOLUTION\:WITH\:STEPS:}\)

Hi! Hope you are having a nice day!

We are given 2 points that the line passes through, so we can use the slope formula and find the slope.

Slope Formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

\(\displaystyle\frac{27-3}{9-1}\)

\(\displaystyle\frac{24}{8}\)

The fraction can be reduced:

\(\displaystyle\frac{3}{1}\)

which is the same as

\(3\)

Hope you could understand everything.

#CarryOnLearning

Answer:

y=2/7x+9

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y= also known as f(x), and is always by itself in slope-intercept form.

m= the slope.

x= the variable written to the right of the slope.

b= the y-intercept.

We know that the slope is 2/7 and the y-intercept in the equation is 9. Therefore, we can plug these numbers into the equation. So...

y=2/7x+9

is the correct equation written in slope-intercept form.

Hope this helps!! Have an amazing day (^人^)

Answer:

25

Step-by-step explanation:

1 = 1^2

4 = 2^2

9 = 3^2

16 = 4^2

Next will be    25  =  5^2

Answer: 24

Step-by-step explanation:

17 plus 7 is 24

Answer:

u=5

Step-by-step explanation:

-29 = 5u + 6 - 12u        

-6             -6

-35 =5u - 12u

         -7u

-35 = 7u

-35 divided by 7 to get u by itself equals 5

therefore u =5

Step-by-step explanation:

Reorder the terms:

6+5u+ -12u= -29

u =5

Answer:

22.41 + 8.9= 31.31

hope this helps <3

Answer:

video=$6.5

moive=$1

Step-by-step explanation:

5m+2v=18, 3m+8v=55

5m+2v=18

2v=18-5m

v=9-2.5m

plug (v=9-2.5m) in (3m+8v=55)

3m+8v=55

3m+8(9-2.5m)=55

3m+72-20=55

-17m=-17

m=1

plug (m=1) in (v=9-2.5m)

v=9-2.5m

v=9-2.5*1

v=6.5

Give brillianst please!!!!!!

The final position can be expressed as (x, y, z) = (3, -7, 0). Since we start at the origin, the initial coordinates are (0, 0, 0) where the three axes are denoted as (x, y, z).

First, we move along the x-axis a distance of 3 units in the positive direction. This means we increase the x-coordinate by 3. So the new position becomes (3, 0, 0).

Next, we move downward a distance of 7 units. The downward movement is along the negative y-axis. Therefore, we decrease the y-coordinate by 7. So the final position becomes (3, -7, 0).

The z-coordinate remains 0 since there is no movement in the z-direction.

Therefore, the coordinates of the final position after moving along the x-axis a distance of 3 units in the positive direction and then moving downward a distance of 7 units are (3, -7, 0).

The x-coordinate represents the horizontal position, the y-coordinate represents the vertical position, and the z-coordinate represents the position along the depth axis. In this scenario, there is no movement in the z-direction, so the z-coordinate remains 0.

Hence, the final position can be expressed as (x, y, z) = (3, -7, 0).

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Answer:

$13.50

Step-by-step explanation:

if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt

Answer: the scale copy of the given figure is the fourth answer

Step-by-step explanation:

Answer:

1176

hope this will help you

Answer:

Step-by-step explanation:

2L168      

2L84

2L42

3L21

7L7

2x2x2x3x7=168

2L196

2L98

7L49

7L7

2x2x7x7=196

The original dimensions of the field are -

L = (7/2)x

B = (7/2)y

Given is that the scale for the drawing of a rectangular playing field is :

2 inches = 7 feet.

We can write the original dimensions of the field as -

L = (7/2)x

B = (7/2)y

Therefore, the original dimensions of the field are -

L = (7/2)x

B = (7/2)y

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Answer:

187.96 cm

Step-by-step explanation:

Multiply the length by 30.48

6'2 x 30.48 = 187.96 cm

The required number of centimeter in 62 inches is approximately 157.48 centimeters.

To convert inches to centimeters, you can use the conversion factor 1 inch = 2.54 cm. To convert 62 inches to centimeters, simply multiply 62 by the conversion factor

62 inches * (2.54 cm / 1 inch) = 157.48 cm

So, 62 inches is equal to approximately 157.48 centimeters. As with any conversion, it's important to remember that the conversion factor is an approximation and may not be exact due to differences in the definitions of an inch and a centimeter. However, for most practical purposes, the approximation is close enough to be used interchangeably with the exact conversion.

The ability to convert between inches and centimeters is important in various fields, such as science, engineering, and commerce, where measurements are often made in both units.

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Answer:

The slope of the line is zero.

Step-by-step explanation:

The slope is zero. This is a perfectly horizontal line passing through y=−3 .

Answer:milli,cent, meter , kilo

Step-by-step explanation:

The probability that the sample proportion is less than 0.27 with population mean 0.25 and sample size 107 is equals to 0.1844.

We have a historical data reports. Here claim is defined as, the manager believes that 25% of the company's orders come from first-time customers.

Sample size of orders, n = 107

We have to determine probability that the sample proportion is less than 0.27, i.e., P( X < 0.27). Now, 0.25 is the population proportion and sample proportion is

\(\hat p = 0.27 \). Calculate the

Standard deviations, σ \( = \sqrt{\frac{0.25 × (1 -0.25) } {107}} \)

= 0.0419

As we see the sample size is > 30, the normal distribution can be used. The Z-Score formula for sample proportion is written as \(Z = \frac{\hat p - p}{\sigma }\) , where, E --> standard error

Now, the required probability, P(p-hat< 0.27) = \(P (\frac{ \hat p - p }{ \sigma} < \frac{0.27 - 0.25}{0.0419})\)

= P ( Z < 0.48)

Using the distribution table value of P(Z< 0.48) is 0.1844. Hence, required probability value, P(p-hat < 0.27) is 0.1844.

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Answer:

i think the first one.

16= z-9

16 = 25- 9

Answer:

The other person is correct, boo

Step-by-step explanation:

Have an awesome day!!!

-leeknowishawt

Answer:

20 to 3 or 20 : 3

Step-by-step explanation:

White : Black

= 80 : 12

= 80/12

= 20:3

To determine the proportion that proves the relationship involving the tangent of angle D in the dilated triangles, we need more information about the angles and sides involved in triangles BAC and BDE. Specifically, we need the measures of the angles and the lengths of the sides to establish a proportion.

Without the specific measurements or relationships between angles and sides, we cannot provide a proportion that directly involves the tangent of angle D in this scenario. Dilations with a scale factor of 2 generally result in corresponding sides being twice as long, but the angles may or may not maintain the same measures. To establish a proportion involving the tangent of angle D, we would need more specific information about the triangle's properties, such as angle measures, side lengths, or additional relationships between angles and sides.

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Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:

p1q1 + p2q2 = Y

Substituting the given values:

2q1 + 1q2 = 100

We can rewrite this as:

q2 = (100 - 2q1) / 1

Now, let's maximize Diogo's utility function:

U(q1, q2) = q1^0.2 * q2^0.8

Substituting the expression for q2:

U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8

To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:

dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0

Simplifying the equation:

0.2[(100 - 2q1) / q1]^0.8 = 0.8

[(100 - 2q1) / q1]^0.8 = 4

Taking both sides to the power of 1/0.8:

(100 - 2q1) / q1 = 4^(1/0.8)

Solving for q1:

100 - 2q1 = 4^(1/0.8) * q1

100 = (4^(1/0.8) + 2) * q1

q1 = 100 / (4^(1/0.8) + 2)

Calculating the value of q1:

q1 ≈ 12.77

Now we can substitute this value back into the budget constraint to find q2:

2q1 + q2 = 100

2(12.77) + q2 = 100

25.54 + q2 = 100

q2 = 100 - 25.54

q2 ≈ 74.46

Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

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Answer:

The remainder is 1.

Step-by-step explanation:

First, you have to find the value of m. With the given information :

m ÷ 6 = 5

m = 5 × 6

m = 30 (no remainder)

if,

m = 30 + 5

m = 35 (with remainder as 5)

Next, you have to substitute m value into the expression, (m+2) ÷ 6 :

(35+2) ÷ 6

= 37 ÷ 6

= 6 1/6 (1 as a remainder)

Answer:

2.45*10^-3

Step-by-step explanation:

The number 0.00245 expressed in standard form is; 2.45 × 10-³.

While expressing numbers in standard form;

We must ensure that only one significant digit appears before the decimal point.

The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.

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Answer:

5 goals

Step-by-step explanation:

4 goals per game for 15 games means a total of 60 goals in that season. You have 4 goals per game for 14 games meaning you have a total of 56 goals. To overtake the leading team you must score a minimum of 5 goals to become the leading scorer. (Double-check to make sure I am correct)

Answer:

no, janet could not have won 10 games because 3x is not equal to 24

Step-by-step explanation:

if janet won twice as many as nadia that means nadia times 2

so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d

hope this helps

Answer: No; Janet could not have won 10 games because 3x ≠ 24

Step-by-step explanation:

Janet and Nadia won 30 games together. 10x2(10)=30

! !

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Answer:$2,970 to build the storage building.

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. The cost to build the storage building walls is $2,970. The correct option is D.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the building is 12 feet by 15 feet and 10 feet tall. Therefore, there will be 2 walls of 12 feet long and 2 walls of 15 feet in length. Also, the height of all the walls will be 10 feet. Thus, the total area of the wall can be written as,

The total area of the wall = 2(15ft× 10ft) + 2(12ft× 10ft)

                                          = 2(150 ft²) + 2(120ft²)

                                          = 300 ft² + 240 ft²

                                          = 540 ft²

Further, the stonework costs $5.50 per square foot. Therefore, the cost of stonework on the wall will be,

Cost of stonework = $5.50 per square foot × 540 ft²

                               = $2,970

Hence, the cost to build the storage building walls is $2,970.

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Answer: 729

Assuming each unit is L x W x H, 7 x 7 x 7 = 729, so thats the volume.

All circles are similar. This is because the properties of a circle are determined by its radius and center point. Circles are two-dimensional shapes with a round border, and all of their points are equidistant from the center.

Since the center and radius of a circle uniquely define its properties, any two circles with the same center and radius will be identical and hence similar. This is called the circle's similarity transformation. It involves scaling the circle's size by a factor of the radius and preserving its shape. In addition, a circle can be rotated around its center point without changing its size or shape.

Therefore, all circles are similar because they have the same properties regardless of their size, orientation, or position. This is why, when comparing different circles, only their size and position need to be considered, not their shape or orientation.  all circles are similar because they share the same properties and can be transformed into one another through scaling and rotation.

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Answer:

158

Step-by-step explanation: