develop a least squares estimated regression line. (round your numerical values to five decimal places.)

1 One and two hundred sixty-eight thousandths

2 two thousand 4 hundred fifty-six and ninety-eight hundredths

3 thirty-four thousand five hundred sixty-eight and two tenths

Answer:

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Step-by-step explanation:

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Answer:

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There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.

A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.

Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.

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Answer:

C. -3x-3

Step-by-step explanation:

The slope is rise/run, which is -3/1 or -3. The y-intercept is located at -3.

Answer:

C. y= -3x -3

Step-by-step explanation:

Answer:

\(\\\)

Step-by-step explanation:

\(\\\)

\(\\\)

We know that,

\(\dashrightarrow \sf \: \: Radius = \dfrac{Diameter}{2} \\ \\\)

\(\dashrightarrow \sf \: \: Radius = \dfrac{10}{2} \\ \\ \)

\(\dashrightarrow \sf \: \: { \underline { \boxed{ \pmb{ \sf{ \pink{ Radius = 5 \: inches}}}}}} \\ \\ \)

Using formula:

\( \: \: \: \: \: \: {\underline{\boxed{\pmb{\sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star \\ \\ \)

Where,

\(\\\)

Substituting the required values in the formula:

\(\dashrightarrow \sf \: \: Volume = 3.14 × (5)^2 × 14 \\ \\ \)

\(\dashrightarrow \sf \: \: Volume = 3.14 \times 25 \times 14 \\ \\ \)

\(\dashrightarrow \sf \: \: Volume = 78.5 \times 14 \\ \\ \)

\(\dashrightarrow \sf \: \: { \underline{\boxed { \pmb{ \sf{ \pink{Volume = 1099 \: {in}^{3} }}}}}} \\ \\ \)

Hence,

Answer:

I agree with Sharon's teacher and I believe that the factoring of x^2 + 81 as (x+9)(x-9) is incorrect because the difference of two squares method can only be used to factor polynomials of the form x^2 - a^2, and not x^2 + a^2.

Step-by-step explanation:

The correct answer is x^2 + 81 can be factored as (x + 9)(x + 9) using the trinomial method.

Answer:

  B.  6 2/3

Step-by-step explanation:

After subtracting the width of the picture from the width of the wall, we find the length of the space to be ...

  14 5/6 - 1 1/2 = (14 -1) +(5/6 -3/6) = 13 2/6 . . . feet

Dividing that space in half gives ...

  (13 2/6)/2 = (13/2) +(2/6)/2

  = 6 1/2 +1/6 = 6 3/6 + 1/6

  = 6 4/6 = 6 2/3 . . . . feet

The space on either side of the picture is 6 2/3 feet.

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Answer:

They will make 1 triangle the lines will keep going until they meet

From the given triangle only one triangle can be made.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the unformed triangle is given in the image.

The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.

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Given the equation:

To solve for c.

First step:

Divide both sides by m

Second step:

Take the square root of both sides

ANSWER:

The perimeter of the triangle OQR is 68 cm

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

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer A is correct.

Step-by-step explanation:

Negative one is less than one.

Answer:

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Step-by-step explanation:

D

Answer:

the answer would be 1. 12.5

Step-by-step explanation:

Answer:

15. $8.47

16. $14.68

17. $121.04

18. $60.52

Step-by-step explanation:

15. Sale tax Round to the nearest cent=

8.65% of $97.89 = 0.0865 × $97.89 = $8.47

16. Tips Round to the nearest cent=

15% of $97.89 = 0.15 × $97.89 = $14.68

17. Total =

$97.89 + $8.47 + $14.68 = $121.04

18. Amount each person pays Round to the nearest cent =

$121.04/2 = $60.52

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

The strategy that will help to eliminate the variable and solve the equation easily is (D) multiply the second equation by 3 and add it to the first equation.

So, to cancel the variable that will make the equation easy to solve:
Let,

So, calculate as follows:

This addition of the (2) equation to the (1) equation will give the answer:

Hence, variable x has been canceled.

Therefore, the strategy that will help to eliminate the variable and solve the equation easily is (D) multiply the second equation by 3 and add it to the first equation.

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Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

Answer:

0 would represent on equator

Answer:

Quality rotation is the act of a joint moving through a range of motion in a way that is efficient, controlled and repeatable.

Answer:

The degree, for example, if you move a little It will make it 90 degree or other.Step-by-step explanation:

The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

x + y = 190

20x + 15y = 3225

Solving the system of equations we have:

20x + 15(190 -x) = 3225

20x + 2850 - 15x = 3225

5x = 375

x = 75

simililary

y = 190 - x

y = 115

Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

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Answer:

y= 1/3 - 1

Step-by-step explanation:

You can see that it takes 3 vertical boxes or units to get one unit on the x axis therefore it is 1/3 slope. Because it starts at -1 instead of the origin, it has a -1 behind it.

Answer:

4

Step-by-step explanation:

The rate of change, is essentially the slope.

The slope can be defined as: \(\frac{rise}{run}\)

It can also be calculated with the formula: \(\frac{y_1-y_2}{x_1-x_2}\), which is essentially the same thing, except the y_1-y_2 is calculating the rise, and the x_1-x_2 is calculating the run.

So let's take two points: (0, -1) and (1, 3)

We can plug in the values: \(\frac{3-(-1)}{1-0}\implies \frac{3+1}{1}\implies 4\)

So the rate of change is 4, and you don't really need the formula here, all you have to see is that as "x" increases by 1, the y is increasing by 4, which is the very definition of the slope/rate of change. It's measuring how much the y is changing as x increases by 1.

Answer:

To apply the distributive property using the greatest common factor (GCF) to write an equivalent expression for 0.3x - 2.7, we need to find the GCF of the coefficients of the terms in the expression. In this case, the GCF is 0.3, so we can write the expression as 0.3(x - 9). This is an equivalent expression to 0.3x - 2.7, because multiplying 0.3 by the difference of x and 9 produces the same result as subtracting 2.7 from 0.3x.

Step-by-step explanation:

the largest integer \(n $ such that $3^n$ is a factor of $1 \times 3 \times 5 \times \dots \times 97 \times 99$ is $\boxed{62}$.\)

To find the largest integer\(n $ such that $3^n$ is a factor of $1 \times 3 \times 5 \times \dots \times 97 \times 99$\), we need to count how many factors of 3 are in the product of the odd integers from 1 to 99.

One way to do this is to factor each odd integer into its prime factors and count how many factors of 3 are present. However, this would be quite tedious and time-consuming.

A quicker approach is to use the fact that every third odd integer is a multiple of 3. Thus, we can count how many multiples of 3 are present in the product of the odd integers from 1 to 99.

Let \($m$\) be the number of multiples of 3 in the range from 1 to 99. Then we have:

\(m = \left\lfloor \frac{99}{3} \right\rfloor = 33\)

This is because there are 33 multiples of 3 in the range from 1 to 99 (namely, 3, 6, 9, ..., 96, 99).

Each multiple of 3 contributes at least one factor of 3 to the product of the odd integers. However, some multiples of 3 contribute two or more factors of 3, depending on how many factors of 3 they contain.

To count how many multiples of 3 contribute two or more factors of 3, we need to count how many multiples of 9, 27, and 81 are present in the range from 1 to 99.

There are \($\left\lfloor \frac{99}{9} \right\rfloor = 11$\)multiples of 9, namely 9, 18, 27, ..., 81, 90, 99. Each multiple of 9 contributes at least two factors of 3 to the product of the odd integers.

There are \($\left\lfloor \frac{99}{27} \right\rfloor = 3$\) multiples of 27, namely 27, 54, 81. Each multiple of 27 contributes at least three factors of 3 to the product of the odd integers.

There is only one multiple of 81 in the range from 1 to 99, namely 81, which contributes at least four factors of 3 to the product of the odd integers.

Thus, the total number of factors of 3 in the product of the odd integers from 1 to 99 is:

\(n = m + 2\times\text{number of multiples of 9} + 3\times\text{number of multiples of 27} + 4\times\text{number of multiples of 81}\)

\(n = 33 + 2\times 11 + 3\times 3 + 4\times 1 = 62\)

Therefore, \(the $ largest integer $n$ such that $3^n$ is a factor of $1 \times 3 \times 5 \times \dots \times 97 \times 99$ is $\boxed{62}$.\)

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Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

B) 2

Step-by-step explanation:

Is BK bisecting CD?

x + 1 = 2x -1  Subtract x from both sides

1 = x -1  Add 1 to both sides

2 = x