can someone help please!!

Answer:

32.4

Step-by-step explanation:

8% of 30 is 2.4. So, 2.4 + 30 is 32.4.

Answer:

an = a1 x r^n-1

-> a2= 3 x 4^2-1 = 3x4 = 12

a3= 3x4x4 = 48

a4 = 3x4x4x4 = 192

a5 = 3x4x4x4x4 = 768

Step-by-step explanation:

Answer:

6 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

A = 3 *2 = 6 cm^2

There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

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The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

Answer and Explaination:
a. To calculate the required seating area for the restaurant, we need to consider the average number of customers per group, the number of groups, and the space required per table.

Given:

Average number of customers per group = 4

Number of groups = 16

Space required per table and surroundings = 5.3 square meters

To calculate the required seating area, we can use the following formula:

Seating area = Number of groups * (Average number of customers per group / 2) * Space required per table

Seating area = 16 * (4 / 2) * 5.3

Seating area = 16 * 2 * 5.3

Seating area = 169.6 square meters

Therefore, the required seating area for the restaurant is approximately 169.6 square meters.

b. To determine the number of stoves required for the restaurant, we need to consider the average cooking time per meal, the number of elements per stove, and the total number of meals.

Given:

Average cooking time per meal = 10 minutes

Number of elements per stove = 4

To calculate the number of stoves, we divide the total cooking time by the average cooking time per stove:

Number of stoves = (Total cooking time) / (Average cooking time per stove)

Total cooking time = Number of groups * (Number of meals per table) * (Average cooking time per meal)

Number of meals per table = 2

Total cooking time = 16 * 2 * 10

Total cooking time = 320 minutes

Number of stoves = 320 minutes / 10 minutes per stove

Number of stoves = 32

Therefore, the restaurant would require 32 stoves.

Answer:

A,E,G

Step-by-step explanation:

use sohcahtoa

sine = opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

The right answer is provided by: Taking into account the hypothesis tested and the p-value of the test.

There is enough proof to conclude that using drugs X and Y results in different mean cholesterol levels.

What theories are being tested?

If there is no difference in the cholesterol levels, then the null hypothesis is tested, which is:

H₀:Hₓ-H

It is determined whether there is a difference at the alternative hypothesis, so:

H₀:Hₓ-H≠0

The p-value of 0.003 0.01 leads us to reject the null hypothesis and determine that there was a difference, hence the following is the right response:

There is enough proof to conclude that using drugs X and Y results in different mean cholesterol levels.

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Answer is y = -1.01x + 38.19

The formula for calculating the regression line is:

y = a + bx

To find the regression line, we need to calculate two coefficients. They are a and b. where,

b = (NΣxy - ΣxΣy) / (NΣx2 - (Σx)2)and a = y - bx

Here, N = 14N = number of data sets

x = the independent variable

y = the dependent variable

Σ = summationx2 = square of x, i.e., x multiplied by itself

xy = x multiplied by y

Here, x and y have already been given. Thus, we need to calculate the remaining terms for determining the values of a and b.

The following table shows the steps for finding the values of a and b:-

x y x² xy5 26.25 25 131.256 22.3 36 133.87 22.75 49 176.175 22 25 1749 22.35 81 200.1510 19.8 100 19811 17.75 121 194.2512 16.8 144 201.613 17.75 169 299.75514 16.3 196 263.89515 15.95 225 359.2516 13.6 256 219.52Σx = 155 Σy = 255.95Σx² = 2870 Σxy = 4391.81

Now, we can calculate the value of b as:

b = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²)b = (14 x 4391.81 - 155 x 255.95) / (14 x 2870 - 155²)b = -1.0146Next, we can calculate the value of a as:

a = y - bx

a = (Σy / N) - b (Σx / N)a = (255.95 / 14) - (-1.0146 x 155 / 14)a = 38.1921

Thus, the equation of the regression line is:

y = -1.01x + 38.19

The values are rounded off to two decimal places.

Answer:

y = -1.01x + 38.19

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The derivative of \(f(x) = 2\cdot x^{2}-9\) is \(f'(x) = 4\cdot x\).

In this exercise we must apply the definition of derivative, which is described below:

\(f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}\) (1)

If we know that \(f(x) = 2\cdot x^{2}-9\), then the derivative of the expression is:

\(f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}\)

\(f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}\)

\(f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h\)

\(f'(x) = 4\cdot x\)

The derivative of \(f(x) = 2\cdot x^{2}-9\) is \(f'(x) = 4\cdot x\).

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Answer:

\(\boxed{\bold{\huge{\boxed{5}}}}\)

Step-by-step explanation:

625 when divided by 5 gives 125 which is a perfect cube.

=> \(\sf \frac{625 }{5 } = 125\)

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

\(\sf \ \sqrt[3]{125} = 5\)

So, 5 needs to be divided by 625 to make the quotient a perfect cube!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.62

Answer:

Step-by-step explanation:

0.62

Answer:

the range is y</4

Step-by-step explanation:

dont listen to the other person, btw that sign is less than or equal to

Answer:

$21

Step-by-step explanation:

We need to find out 1/3 of 63.

63*1/3=21

So 63-21=$42

Lakesha spent $21 on vegtables (and has $42 left.)

Answer:

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

To find out the number of footballs, we need to divide the length of the field by the length of one football:

To divide these numbers in scientific notation, we need to divide the coefficients:

and subtract the exponents:

We get:

So, you would need approximately 357 footballs.

A vector is a quantity that has both magnitude and direction. Magnitude refers to the length of the vector, and direction refers to the direction in which the vector is pointing.

The magnitude and direction of a vector can be used to represent a wide variety of physical quantities, including velocity, force, and acceleration. Component Form of a Vector:If we have a vector, v, with initial point A (x1, y1) and terminal point B (x2, y2), then the component form of v is given by:v = [x2 - x1, y2 - y1]We can then express the result as an ordered pair.

The magnitude (length) of a vector:The magnitude (or length) of a vector can be calculated using the formula:|v| = √(x² + y²)Where x and y are the x and y components of the vector respectively.Direction of a vector:The direction of a vector can be expressed in two ways, by an angle (θ) or by the angle of elevation

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Applying the segment addition postulate, the value of r is determined as: A. 10.

A perpendicular bisector is a line segment which divides another line segment into two equal parts, that is, the segments formed have equal lengths.

Since point G lies on the perpendicular bisector of segment DM, therefore:

DG = GM

Given the following:

DM = 25

GM = 4r - 28

DG = r + 3

Therefore:

DG + GM = DM [segment addition postulate]

Substitute

r + 3 + 4r - 28 = 25

Combine like terms

5r - 25 = 25

5r = 25 + 25

5r = 50

5r/5 = 50/5

r = 10

Thus, applying the segment addition postulate, the value of r is determined as: A. 10.

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Both the computers will take 18 minutes to do the job together.

The slower computer sends all the company's email in 45 minutes.

The faster computer completes the same job in 30 minutes.

Let's take minutes t  to complete the task together.

As they complete one job, we get the following equation:

\(\frac{t}{45}\)+\(\frac{t}{30}\)=1

LCM of 45 and 30 is:

45 = 3 x 3 x 5

30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

Now, solving for t;

⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)

Dividing both sides by 5;

\(\frac{5t}{5}=\frac{90}{5}\)

We get t = 18

Hence, it will take both the computers 18 minutes to do the job together.

A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?

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Approximately 0.99% of the days the bank will be notified because the amount dispensed is very low (less than $2500).

To determine the percentage of days the bank will be notified because the amount dispensed is very low (less than $2500), we need to calculate the cumulative probability up to that threshold using the normal distribution.

Given:

Mean (μ) = $4200 per day

Standard deviation (σ) = $720 per day

We can use the Z-score formula to standardize the value:

Z = (X - μ) / σ

For X = $2500:

Z = (2500 - 4200) / 720

Z = -1700 / 720

Z ≈ -2.36

Using a standard normal distribution table or calculator, we can find the cumulative probability associated with Z = -2.36. This probability represents the percentage of days the amount dispensed will be less than $2500.

Looking up the Z-score of -2.36 in the standard normal distribution table, we find that the cumulative probability is approximately 0.0099.

Therefore, approximately 0.99% of the days the bank will be notified because the amount dispensed is very low (less than $2500).

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The difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

The correct answer is (d): In the z-test using rejection region(s), the test statistic is compared with critical values. The z-test using a P-value compares the P-value with the level of significance alpha.

The z-test is a statistical test used to assess whether a sample mean or proportion significantly differs from a hypothesized population mean or proportion. The difference between the z-test for mu (population mean) using rejection region(s) and the z-test for p (population proportion) using a P-value lies in the approach used to make the inference.

In the z-test using rejection region(s), the test statistic (calculated from the sample) is compared with critical values based on the chosen level of significance alpha. The critical values are determined from the standard normal distribution or a z-table, and if the test statistic falls within the rejection region (beyond the critical values), the null hypothesis is rejected.

On the other hand, in the z-test for p using a P-value, the test statistic is compared with the P-value. The P-value represents the probability of observing a test statistic as extreme or more extreme than the one obtained, assuming the null hypothesis is true. If the P-value is smaller than the chosen level of significance alpha, the null hypothesis is rejected.

Therefore, the difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

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A vector equation of the line through (6,4.2) that is perpendicular to the lines r1(t) = (8-2t, 1+8t, 9-5t) and r2(t) = (-2t, 1, 9) is:

r(t) = <6, 4.2, z> + t<2, -5, 0>

where z is a constant that satisfies the equation:

(8-2t - 6)(2) + (1+8t - 4.2)(-5) + (9-5t - z)(0) = 0

To find the equation of the line through the given point (6,4.2) that is perpendicular to the two given lines, we need to find the direction vector of the new line that is perpendicular to both of the given lines. The direction vector is the cross product of the direction vectors of the two given lines.

After finding the direction vector, we can use it to write the vector equation of the line passing through the given point (6,4.2). The constant z is found by substituting the x and y coordinates of the given point into the equation of the line.

The final equation is a vector equation of the desired line.

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here's the solution,

\( \boxed{\small{volume = area \: \: of \: base \: \: \times height}}\)

so,

=》

\(v = 25\pi \times 2\)

=》

\(v = 50\pi\)

if you solve for π then the value will be :

but in terms of π the value will be :

The volume of the cylinder is 157 unit³.

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given: B= 25π, h= 2 units

Base area= 25π

πr²=  25π

r²=25

r=±5 units

Now, Volume of cylinder= πr²h

                                         = 3.14* 5* 5* 2

                                         = 157 unit³

Hence, the volume of cylinder is  157 unit³.

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Answer:

acute isosceles

Step-by-step explanation:

both legs have an equal length, and angles are less than 90º

Answer:

Yes, but can be simplified to \(-\frac{1}{4}\)

Step-by-step explanation:

Since slope is the formula to determine the equation of a line, we use,

\(\frac{rise}{run}\)

In this sense, we can see that the rise is -2

The run, or how far along the x-axis the line goes until it reaches its desired point is 8.

Although you are correct in the \(-\frac{2}{8}\), don't forget to use your GCF to determine how low the fraction can go. (GCF or greatest common factor of 2 in this case) to get \(-\frac{1}{4}\)

I hope this answer finds you well, and I would be happy to help you again in the future! :D

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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True, Most trigonometric equations have unique solutions.

   Most trigonometric equations have unique solutions . Trigonometric equations often have multiple solutions due to the periodic nature of trigonometric functions such as sine, cosine, and tangent. When solving trigonometric equations, you need to consider all possible solutions within the given interval, typically by applying general solutions or analyzing the periodicity of the function involved.

                                    However, there are some cases where there may be multiple solutions or no solution at all. It is important to consider the domain and range of the trigonometric functions when solving these equations in detail.     Most trigonometric equations have unique solutions . Trigonometric equations often have multiple solutions due to the periodic nature of trigonometric functions such as sine, cosine, and tangent.

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Answer:

1809.56 \(cm^3\)

Step-by-step explanation:

The volume of any shape can be found by multiplying the area of the cross-section by the length of the object.  Since the object in this problem is a cylinder, the cross-section would be a circle with a radius of 8 cm.  The area of the cross-section can be found with

\(A=\pi r^2\\A=\pi(8cm)^2\\A=201.06cm^2\)

To find the volume, multiply the area by the height (9cm):

\(V=A*h\\V=201.06cm^2(9cm)\\V=1809.56cm^3\)

Answer: Side length(s): 20.4. Variable (s) = 15

Step-by-step explanation:

Side Length: 102/5 = 20.4

Variable (s) = 6s + 12 = 102

102 - 12 = 90

90/6 = 15

s = 15

* See the picture

Perimeter = The sum of the lengths of its sides

102 = 2s + s + s + ( s + 6 ) + ( s + 6 )

102 = 6 s + 12

6s = 102 – 12

6s = 90

s = 90 / 6

s = 15

So;

2S = 2 (15) = 30

S = 15

S = 15

S + 6 = 15 + 6 = 21

S + 6 = 21

I hope I helped you^_^