Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)

Answer:

m=2

Step-by-step explanation:

Answer:

Line B

Step-by-step explanation:

Rise over Run, rise -2 run 1.

Answer:

The Length of DB is 28.

Step-by-step explanation:

The question states that the ratio from AC : DE is 3:2 which means, essentially, that Triangle DBE is 2/3 of triangle ABC's size due to the fact that they are comparing the heights of AC and DE and stating that AC is 1/3 taller than DE. So if DBE is 2/3 of the size of ABC, that means that you would take the overall length of AB and divide that by three, and then multiply that sum by 2 in order to get the length of DB, which is 28.

Answer:The Length of DB is 28.

Step-by-step explanation:

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

E. 360

Step-by-step explanation:

We have two boxes of 6in by 6in,

and 4 with 12in by 6in, so we just multiply to find the area and add them up

6 x 6 = 36 x 2 = 72

12 x 6 = 72 x 4 = 288,

add them up and we get 360.

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Answer:

E

Step-by-step explanation:

6*6= 36

There are two of these squares so 72

12*6= 72

there are four of these rectangles so 288

soooo......288+72= 360

so E

Answer:

x is smaller than 10in so x<5

Step-by-step explanation:

Answer:

4 I think

Step-by-step explanation:

A vertex is a point where two or more edges meet (i.e the sharp points of the figure).

A vertex (plural: vertices) is a point where two or more line segments meet. It is a Corner.

Answer:

17 and 19

Step-by-step explanation:

Given:

The graph shows the prices of the current year for the number of bushels.

And the table shows the prices of the previous year.

Part A: We will find the rate of change of bushels of corn in the current year.

As the graph shows a line, so, the rate of change will be the slope of the line

We will find the slope using two points.

As shown the line passes through the points (0,0) and (3,24)

So, the slope will be as follows:

So, the rate of change = $8 per Bushel.

Part B: How many dollars more in the price of a bushel of corn in the current year than the previous year.

From the table: the price of the previous year = 21/3 = $7

And form the graph, the price of the current year = $8

So, the differnce = 8 - 7 = $1

So, the answer will be:

$1 more is the price of the current year than the price of the previous year.

Answer:To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Step-by-step explanation:This all i can remember to help you out

Answer:

the answer is A - An irrational number

The resulting expression is 9x^2/y^3

Given the expression below;

9x²y^-3

Using the negative exponent

y^-3 = 1/y^3

Substitute to have;

9x²y^-3 = 9x^2(1/y^3)

9x²y^-3 = 9x^2/y^3

Hence the resulting expression is 9x^2/y^3

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If a divides b and a divides c, then a divides (bm + cn).

To prove that if a divides b and a divides c, then a divides (bm + cn), we can use the properties of divisibility.

Given:

a|b, which means b is divisible by a.

a|c, which means c is divisible by a.

We want to show that a|(bm + cn), which means (bm + cn) is divisible by a.

By definition, if a divides b, then there exists an integer k₁ such that b = ka. Similarly, if a divides c, there exists an integer k₂ such that c = ka.

Now, let's substitute these expressions into (bm + cn):

(bm + cn) = (ka)m + (ka)n

= kam + kan

= a(km + kn)

We can see that (bm + cn) can be written as a times the integer (km + kn). Since (km + kn) is an integer, this implies that (bm + cn) is divisible by a.

Therefore, if a divides b and a divides c, then a divides (bm + cn).

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If the \(z\)-score is \(z_1 < 0\), find the area under the curve to the right of \(-z_1\) and subtract that from 1.

If the z-score is z<0 , find the area under the curve to the right of -z  and subtract that from 1.

what is z-score?

z-score is a statistical measurement that describes a value's relationship to the mean of a group of values and the formula for the z-score is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Mean:- The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

Now,

As we know the area is just the space according to given condition

and if we find the area to the right of -z and substract it from 1 (as for z-score whole area is 1 square unit) then we get the area for z<0.

Hence,

             If the z-score is z<0 , find the area under the curve to the right of -z  and subtract that from 1.

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The ratio of AB:BC:CD is 33 : 7 : 48.

A ratio indicates the number of times one number contains another.

Given that, AB : BD = 3:5 and AC : CD = 5:6, and the points A, B, C, and D lie in order on a straight line.

Since AB : BD = 3:5, let AB = 3x and BD = 5x.

Since AC : CD = 5:6, let AC = 5y and CD = 6y

Now, the points A, B, C, and D lie in order on a line, therefore,

BC = AC - AB

BC = 5y - 3x   (1)

Similarly,

BC = BD - CD

BC = 5x - 6y   (2)

Using equation (1) and (2) it follows:

5y - 3x = 5x - 6y

5y + 6y = 5x + 3x

11y = 8x

y = (8/11)x

Now, the ratio to be found is:

AB : BC : CD

Substitute the values:

3x : 5y - 3x : 6y

Substitute y = (8/11)x:

3x : 5(8/11)x -3x : 6(8/11)x

3x : (40 - 33)/11 x : (48/11)x

3 : (7/11) : (48/11)

33 : 7 : 48

Hence, the ratio of AB:BC:CD is 33 : 7 : 48.

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Answer:

\(\begin{array}{|c|c|c|} \cline{1-3}\text{Time of day} & \text{Frequency} & \text{Angle size}\\\cline{1-3}\text{Morning} & 45 & 180\\\cline{1-3}\text{Afternoon} & 15 & \textbf{60}\\\cline{1-3}\text{Evening} & 30 & \textbf{120}\\\cline{1-3}\end{array}\)

========================================================

Explanation:

In the morning, Chris has 45 clients out of 90 total for the week. This represents the fraction 45/90.

Multiply top and bottom by 4 to get to 180/360. I chose 4 because 90*4 = 360.

So that's how your teacher got 180 degrees for the morning angle.

Or you could compute 45/90 = 0.5 and then say 0.5*360 = 180.

The morning clients make up 50% of all his clients.

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

For the afternoon, he has 15 clients out of 90.

15/90 = (15/90)*(4/4) = 60/360

I multiplied top and bottom by 4 like last time.

However, this time I got 60 as the numerator.

So a 60 degree angle is used for the afternoon clients.

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

In the evening, he has 30 clients to give us the fraction 30/90.

Like before, multiply top and bottom by 4

30/90 = (30*4)/(90*4) =  120/360

We use a 120 degree angle here.

The percentage computed illustrates that the previous population was 55000.

Since the population of a city has decreased by 26% since it was last measured, that means that it's (100 - 26) = 74%.

Let the population be represented by x

Therefore, 74% of x = 40700

0.74 × x = 40700

x = 40700/0.74

x = 55000

Therefore, the previous population was 55000.

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Answer:

The zeroes of a graph are the points where the x axis and the parabola meet. In this case, it is a quadratic function so we have two, x=4 x=6 Therefore, A

Good luck!

The missing value in the P-value column is approximately 0.009 (assuming a two-tailed test) or 0.005 (assuming a one-tailed test).

Here's the complete MINITAB output based on the given information:

Predictor Constant X

Coef 0.18917 (a)

SE Coef 0.43309 0.065729

t-value 0.437 (c)

P-value 0.667 (b)

S = 0.67580

R-Sq = 31.0%

The missing information that needs to be recomputed is:

The missing value in the t-value column (marked as (c)).

The missing value in the P-value column (marked as (b)).

To compute the missing t-value, we can use the formula:

t-value = Coef / SE Coef

For X, we have:

t-value = 0.18917 / 0.065729 ≈ 2.876

So the missing value in the t-value column is approximately 2.876.

To compute the missing P-value, we can use the fact that P-value is the probability of getting a t-value as extreme or more extreme than the observed one, assuming the null hypothesis is true. In other words, P-value is the area under the t-distribution curve to the right or left of the observed t-value (depending on whether the test is one-tailed or two-tailed).

Since we don't know the direction of the test, we cannot compute the exact P-value. However, we can make an educated guess based on the t-value and the degrees of freedom (df) of the test. Since there are n=20 points in the data set and we are estimating two parameters (intercept and slope), the df of the test is n-2=18.

Assuming a two-tailed test, the P-value for a t-value of 2.876 and df=18 is approximately 0.009. If the test is one-tailed, the P-value would be approximately 0.005 (half of 0.009).

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The 95th percentile of the variance of a random sample of size 15 from a normal population with a variance of 3 is approximately 23.685.

The sampling distribution of the variance follows a chi-square distribution, with degrees of freedom equal to n-1, where n is the sample size.
When the population variance is known, we can use the chi-square distribution to find the probability of getting a certain sample variance. In this case, the population variance is given as 3.
Therefore, the sampling distribution of the variance will be a chi-square distribution with 14 degrees of freedom:

(n-1 = 15-1 = 14).

To find the 95th percentile of the chi-square distribution with 14 degrees of freedom, we can use a chi-square table or a calculator. Using a chi-square table or calculator, we find that the 95th percentile of the chi-square distribution with 14 degrees of freedom is approximately 23.685.

This means that there is a 95% chance that the sample variance will be less than or equal to 23.685.

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The 95th percentile of the variance of a random sample of size 15 from a normal population with a variance of 3 is approximately 23.685.

The sampling distribution of the variance follows a chi-square distribution, with degrees of freedom equal to n-1, where n is the sample size.

When the population variance is known, we can use the chi-square distribution to find the probability of getting a certain sample variance. In this case, the population variance is given as 3.

Therefore, the sampling distribution of the variance will be a chi-square distribution with 14 degrees of freedom:

(n-1 = 15-1 = 14).

To find the 95th percentile of the chi-square distribution with 14 degrees of freedom, we can use a chi-square table or a calculator. Using a chi-square table or calculator, we find that the 95th percentile of the chi-square distribution with 14 degrees of freedom is approximately 23.685.

This means that there is a 95% chance that the sample variance will be less than or equal to 23.685.

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Answer:

True

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

BC ║ DE                                Given

m ∠ ABC = m ∠ADE                      If ║ lines, the corresponding angles are =

∠ABC and ∠AED are complementary     Given

m ∠ABC + m ∠AED = 90°             Definition of complementary angles

 m ∠ACB = m ∠AED                      If ║ lines, the corresponding angles are =

m ∠ABC + m ∠ACB  = 90°              Substitution  

∠ABC and ∠ACB are complementary    Definition of complementary angles

Answer:

12

Step-by-step explanation:

The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer:

120 m

Step-by-step explanation:

LCM of 1.6 and 15 will give us the distance

Put 1,6 and 15 in same format:

LCM= 2*2*2*2*3*5*5/10= 120 m

So the next point is 120 m apart

The equations that would guarantee that lines p and q are parallel are;

x = z

x + y = 180°

The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.

From the image given;

We see that a transverse line cuts across the two parallel lines p and q. Thus;

We can see that x and z are corresponding angles and as such, we can say that; x = z.

Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.

Thus; y + z = 180°

Since x = z, then by substitution property of equality, we can say that;

x + y = 180°

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Answer:

Step-by-step explanation:

A and B

The inequality that best describes the width of the garden is

Width ≤ 6 yards

Area ≤ Length* Width

Length = 5 yards

Width = ??

Area = 30 square yards

From the formula of the area of rectangle we have

Area = Length * Width

Let the width be x

Substitute

30 = 5 * x

30 = 5x

Divide both sides by 5

x = 30/5

x = 6 yards

Hence the with should be less than or equal to 6 yards

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Step-by-step explanation:

Given points are (4,0) and (0,3)

The distance between these two points =√(0-4)^2+(3-0)^2

=√16+9

=√25

=5 units

Answer:

(4,0) = (\(x_{1}\),\(y_{1}\))

(0,3)=(\(x_{2} ,y_{2}\))

distance between the points = \(\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_2 )^2 }\)

distance=5

Step-by-step explanation: