PLEASE HELP!!!

Answer: ​

Answer:

22 students

Step-by-step explanation:

The equation of the line in the slope-intercept form is: y = -2.00 x + 10.

The slope and provided point are both in the equation for the straight line.

The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.

y-y₁ = m(x-x₁)

It is the necessary equation for a line in the form of a point-slope.

That gift card to the Coffee Café has been provided. = $10

Medium coffee = $2.00

customers

The quantity of coffees a consumer can purchase can be represented using a linear equation.

Slope formula

m = (8 - 10)/(1 - 0)

m = -2

Now consider the line's point-slope shape.

y-y₁ = m(x-x₁)

( y - 10) = -2.00 ( x - 0)

y = -2.00 x + 10

The slope: m = - 2.00

The equation of the line: y = -2.00 x + 10

The y-intercept is 10

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The radius of the pen is given as follows:

28.03 feet.

The circumference of a circle of radius r is given by the multiplication of 2 by the number pi = 3.14 and the radius r, as follows, hence the equation is given as follows:

C = 6.28r.

For this problem, the circumference of the pen is given as follows:

C = 176 feet.

Hence the radius of the pen is obtained as follows:

176 = 6.28r

r = 176/6.28

r = 28.03 feet.

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Answer:

B. 12 square ft C. 63 square ft

Step-by-step explanation:

Marlena places a square rug on her living room floor, which is also a square.

Now if a square rug is placed in her room, the area of the floor will definitely be the area if the square rug..

And area of a square it = length ²

The result will give s a perfect square for an integer number.

A. 9 square ft = perfect square

B. 12 square ft = not perfect square

C. 63 square ft =not perfect square

D. 81 square ft= perfect square

So the ones that are not perfect squares Is the answer to the question

The  area of her floor is NOT covered by the rug is 12 square ft and  81 square ft.

It is required to find the area of her floor is NOT covered by the rug.

A square is a four-sided polygon, whose all its sides are equal in length and opposite sides are parallel to each other. Also, each vertices of square have angle equal to 90 degrees.

Given:

Marlena places a square rug on her living room floor, which is also a square.

Now if a square rug is placed in her room, the area of the floor will definitely be the area if the square rug..

If the length of each side of the rug is equal to the length of each side of the room, there will be no area not covered.

According to given question we have,

And area of a square it = length ²

The result will give s a perfect square for an integer number.

A. 9 square ft = perfect square

B. 12 square ft = not perfect square

C. 63 square ft =not perfect square

D. 81 square ft= perfect square

Therefore, the  area of her floor is NOT covered by the rug is 12 square ft and  81 square ft.

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- 4n  written as an expression will be 0 - 4n .

An expression in mathematics is a sentence that contains at least two numbers or variables and at least one arithmetic operation. Math operations include addition, subtraction, multiplication, and division.

An expression is made up of a number, a variable, or a mixture of numbers, variables, and operation symbols.

- 4n  written as  an expression will be 0 - 4n .

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Answer:

The answer is 20/3

Step-by-step explanation:

(5 x 1 ) + ( 5 x 1/3)

5 + ( 5 × 1/3 )

5 + 5/3 = 20/3

The rectangular coordinates for the given point are.

x = cos(60°) = 1/2

y = sin(60°) = √3/2

For a polar point (R, θ), the rectangular coordinates are:

x = R*cos(θ)

y = R*sin(θ)

Here we have the unit circle, so R = 1.

And we can see that θ = 60°

Then the coordinates are:

x = cos(60°) = 1/2

y = sin(60°) = √3/2

These are the coordinates.

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Answer:

1541

Step-by-step explanation:

1. Find g(7).

Plug in 7 for x in the function g(x).

3(7)-5

= 21 -5 = 16

2. Plug 16 into x for f(x).

6(16)^2 +5

= (256 x 6)+5 = 1541

Answer:

D. 2^2+1.7^243+40−−−−−√

Step-by-step explanation:

The computation is shown below:

Given that

Sample 1

n_1 = 43

mean  = 18

s_1 = 2

Sample 2

n_2 = 40

mean = 20

s_2 = 1.7

Now the standard error is

\(= \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } \\\\= \sqrt{\frac{2^2}{43} + \frac{1.7^2}{40} }\)

= 0.4065

Answer:

The slope is -3

Step-by-step explanation:

Hey there!

y=-3x+7

-3 is the slope. If you remember y=mx+b, m is the slope. In this case, it's -3.

b is the y-intercept. It is where the graph of a linear function intersects the y-axis.

In this case, b=7.

Hope it helps and good luck!

\(GraceRosalia\)

Answer:

C) 297 cm²

Step-by-step explanation:

1/2(22)(27)=297

The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

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Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

ok

Step-by-step explanation:

The size of the sample required to be representative depends on the variability of the population and the level of precision required in the analysis.

What is Inductive logic ?

Inductive logic, also known as induction, is a type of reasoning that involves drawing general conclusions based on specific observations or examples.

In inductive logic, a sample is considered representative of the population from which it is taken if it possesses the following two characteristics:

Randomness: The sample should be selected randomly from the population. This means that every individual in the population should have an equal chance of being selected for the sample. A random sample helps to reduce the potential for bias in the selection process.

Size: The sample size should be large enough to accurately represent the population. A larger sample size helps to reduce the impact of chance variation and provides a more accurate estimate of the characteristics of the population.

Therefore, The size of the sample required to be representative depends on the variability of the population and the level of precision required in the analysis.

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Answer:

13

Step-by-step explanation:

use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)

Step-by-step explanation:

1 ton = 2,000 Pounds

110 x 5 = 550

You multiply by 5 because 2,000 x 5 = 10,000.

----------------------------------------------------

Hope that helped.

Answer:

Can I see it actually?

Step-by-step explanation:

Answer:

\(8.115\ \text{g}\)

Step-by-step explanation:

The decay model or the mass remaining after \(t\) years have passed is

\(A(t)=16e^{-0.00012t}\)

Now

\(t\) = Time taken in years = \(5657\ \text{years}\)

\(A(5657)=16e^{-0.00012\times 5657}\)

\(\Rightarrow A(5657)=8.115\ \text{g}\)

Carbon present after 5657 years is \(8.115\ \text{g}\).

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

Answer:

= 5x-5y

Step-by-step explanation:

Multiply 5to x and y

Answer:

5x-5y

Step-by-step explanation:

multiply both the terms x and y by 5.

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

The measure of angle K and L in the first figure is ∠L = 23 degrees and ∠K = 157. Second figure, the measure of ∠K = ∠L = 70 degrees.

A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.

For figure 2 the two lines are parallel to each other, and the line that meets the parallel line at points at M and L are from two equal lines.

Hence, the angle suspended by both are equal, that is:

∠L = ∠M

∠L = 23 degrees.

Now, the ∠K and ∠J are created by two parallel lines; hence they are equal:

∠K = ∠J = x

The sum of interior angles of a quadrilateral is 360, so:

∠L + ∠M + ∠J + ∠K = 360

23 + 23 + x + x = 360

46 + 2x = 360

2x = 360 - 46

x = 157

Hence, the measure of angle K and L is 157 and 23 respectively.

For the second figure, the angle K and L are created by equal length of segments.

∠K = ∠L = x

The sum of interior angles of a quadrilateral is 360, so:

∠L + ∠M + ∠J + ∠K = 360

x + 90 + 130 + x = 360

2x + 220 = 360

2x= 360 - 220

x = 70

Hence, the angle of K and L is 70 degrees.

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The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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The unit rate or the number of miles run in one hour is 12 miles thus, 4 miles in 1/3 hour will be the faster.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

4 miles in 1/3 hour ⇒ 4 x3/1 = 21 miles/hour

1.3 miles in 4 hours ⇒ 1.4/4 mile/hour

1/2 mile in hours ⇒ 0.5 miles/hour

Hence "The unit rate or the number of miles run in one hour is 12 miles thus, 4 miles in 1/3 hour will be the faster".

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Answer:

the monthly rents of the apartments

Step-by-step explanation:

In the field of statistics, the population of interest may be defined as the group or the population from which the experimenter or the researcher tries to make conclusions or draw their results.

In the context, I am interested to study the cost of the rented house that is more than others in the West Campus area.

So I recorded the monthly rents of the apartments from a sample of 30 one bedroom apartments.

Therefore, the population of interest for my study here is the monthly rents recorded from the sample of one bedroom apartments.

Answer: 1.4 pi, and pi/180

Step-by-step explanation:

b)

this is a negative angle; It is also less than 0.5pi, (pi/2, which is the border of the first quadrant). therefore the reference angle is just the positive version:

so 1.4pi is the reference angle

c)

pi/180 is already in the first quadrant. so pi/180 would be the reference angle.