What is the rule off the following sequence?
1; 4; 9; 16; 25; ...​

Answer:

x = 38°, y = 68°, z = 55°

Step-by-step explanation:

This would be easier to explain if the vertices were labelled , however

Angles at the circumference of the circle subtended on the same arc are congruent.

x and 38 are subtended on the same arc

y and 68 are subtended on the same arc

z and 55 are subtended on the same arc

Thus

x = 38°, y = 68° and z = 55°

Answer:

480 toy boats in one hour

Step-by-step explanation:

For a confidence level of 87%, the critical value zα/2 is 1.44.

To find the critical value zα/2 for a confidence level of 87%, we need to first find the value of α/2, where α is the level of significance.

Since the confidence level is 87%, the level of significance is:

α = 1 - 0.87 = 0.13

To find α/2, we divide α by 2:

α/2 = 0.13/2 = 0.065

Now, we can use a standard normal distribution table or a calculator to find the critical value zα/2 corresponding to 0.065.

Using a standard normal distribution table, we can find that the critical value zα/2 is approximately 1.44 (rounded to two decimal places).

Correct Question :

Find the critical value zα/2 that corresponds to the given confidence level 87​%.

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Answer:

13.9%

Step-by-step explanation    :

Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.

 0.138613961 ------ when multiplying by 100 you move two spots the decimal point:     13.8613961 %

The tenth digit is 8 the number after that is 6  

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.

6 is greater than 5 so we add 1 to 8 and becomes 9

If the digit  after the tenth was 4 instead 6, for example,then it would be 13.8%

Answer:

The square root of 2, 3, square root of 11

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem.

The equation of the line is: y = x + 10.

We are given that;

The points= ( − 2 , 2 ) (−2,2) and ( − 8 , 8 ) (−8,8).

Now,

Let’s apply these steps to find the equation of the perpendicular bisector.

To find the midpoint of (-2, 2) and (-8, 8). Using the midpoint formula, we get: ( (-2 + -8) / 2, (2 + 8) / 2) ( -10 / 2, 10 / 2) ( -5, 5) The midpoint is (-5, 5).

To find the slope of (-2, 2) and (-8, 8). Using the slope formula, we get: (8 - 2) / (-8 - -2) 6 / -6 -1 The slope is -1.

To find the negative reciprocal of -1. To do this, we flip the fraction and change the sign. Since -1 is equivalent to -1/1, we get: -1/1 1/-1 1 The negative reciprocal is 1.

The equation of a line in slope-intercept form using the slope of 1 and the midpoint (-5, 5) as a point on the line. Substituting these values into y = mx + b, we get: y = 1x + b 5 = 1(-5) + b 5 = -5 + b 10 = b The y-intercept is 10.

This is the equation of the perpendicular bisector of the line segment whose endpoints are (-2, 2) and (-8, 8).

Therefore, by the equation the answer will be y = x + 10

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You can have 43 packs of the 645 markers (645 ÷ 15 = 43)

Step-by-step explanation:

First, you can make 42.33 packs of markers with 645 markers and 15 markers per pack. This is calculated by dividing the total number of markers (645) by the number of markers per pack (15), which gives you 42.33.

A quality control manager at a grocery store selecting two boxes of apples out of 25 delivered today to check for pesticides is an example of a statistical sampling process.

Statistical sampling is a process of selecting a representative subset of individuals or units from a larger population to estimate the characteristics of the population. This is commonly done in fields such as market research, public opinion polling, and quality control. The sampling process involves selecting a sample size, determining a sampling technique, and collecting data from the selected individuals or units.

The sampling technique can be probability-based, where each individual or unit in the population has an equal chance of being selected, or non-probability-based, where the selection is based on specific criteria. Once data is collected from the sample, statistical analysis is conducted to estimate the characteristics of the population. This can involve calculating descriptive statistics such as the mean, median, and standard deviation, as well as inferential statistics such as confidence intervals and hypothesis tests.

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Answer:

Half of 4 is 2(new radius)

(finding area)

2^2 = 4

4 x 3.14 = 12.56

Now we divide

251.2 divided by 12.56 = 20 is our height.

If ΔAbc is similar to Δxyz with a ratio of similitude of 8:3, xz is 1 less than ab and bc is 4 more than ac and xy = 9, then the value of yz= 9

To find the value of yz, follow these steps:

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Given the equation:

Answer:

2x + 3

Step-by-step explanation:

you add the like terms

hope this helps

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Answer:

B

Step-by-step explanation:

Perpendicular lines DO in fact intersect and right angels.

Answer:b

Step-by-step explanation:

Answer:

Here is the summary:

Step-by-step explanation:

Given the equation

The points which satisfy the equation y=13x+5

y = 13x+5

Checking the point (0, 5)

5 = 13(0)+5

5 = 0 + 5

5 = 5

TRUE

Checking the point (-2, -21)

-21 = 13(-2)+5

-21 = -26 + 5

-21 = -21

TRUE

The points which satisfy the equation y=-3x

y = -3x

Checking the point (0, 0)

0 = -3(0)

0 = 0

TRUE

Checking the point (-5, -15)

y = -3x

-15 = -3(-5)

-15 = -15

TRUE

Checking the point (-3, 9)

y = -3x

9 = -3(-3)

9 = 9

TRUE

The points which satisfy the equation y=x-10

y = x-10

Checking (8, -2)

-2 = 8 - 10

-2 = -2

TRUE

Therefore, from the above calculations we conclude the summary:

Here is the summary:

Answer:

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line that is perpendicular to the line y = -1/3x + 7 is the negative reciprocal of the slope of the given line, which is -3. So, the slope of the perpendicular line is 1/3.

The point where the perpendicular line intersects the given line is also the point where the two lines intersect, which is (4,2) in this case. So, we can use this point to find the equation of the perpendicular line using the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1,y1) is a point on the line.

In our case, the equation of the perpendicular line is:

y - 2 = 1/3(x - 4)

We can simplify this equation to obtain:

y = 1/3x + 8/3

Therefore, the equation of the perpendicular line is y = 1/3x + 8/3.

The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

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Answer:

x = 12

Step-by-step explanation:

-x + 8 = x - 16

add x to both sides

8 = 2x - 16

add 16 to both sides

24 = 2x

divide by 2 on both sides

x = 12

Answer:

x = 12

Step-by-step explanation:

you can do any of the following as the first step:

a)  add 'x' to each side to get:  8 = 2x - 16

b)  subtract 'x' from each side to get:  -2x + 8 = -16

c) subtract 8 from each side to get:  -x = x -24

d) add 16 to each side to get:  -x + 24 = x

if we choose to solve the equation in (a) we will get:

8 = 2x - 16

8 + 16 = 2x - 16 + 16 which simplifies to:

24 = 2x

divide each side by 2 to get x = 12

solving any of the above 4 equation will give you x = 12

Given:

Tom needs to plow 1.1 acres of land.

He can plow 5.5 acres in an hour.

To find:

The time taken by Tom to plow 1.1 acres of land.

Solution:

We have,

Time take by Tom to plow 5.5 acres = 1 hour

Time take by Tom to plow 1 acre = \(\dfrac{1}{5.5}\) hour

Time take by Tom to plow 1.1 acres = \(\dfrac{1.1}{5.5}\) hour

                                                           = \(0.2\) hour

Therefore, the time taken by Tom to plow 1.1 acres of land is 0.2 hour.

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

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

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

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

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

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

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

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

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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Answer:

y = -1/2x - 1

Step-by-step explanation:

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The poem For Want of a Nail is a warning about how small things can have large and unforeseen consequences. The lack of a horseshoe could lead to the loss of a horse, which could result in the loss of a rider, which could lead to the loss of a battle.

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Answer:

nico

Step-by-step explanation:

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.

Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.

Here,

Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.

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The description of how you can fold a sheet of paper to create two parallel lines that are perpendicular to the same line is as follows,

Take a paper.

Horizontally fold 1/3rd part of it.

Again fold the 1/3rd part of it (Horizontally).

Open the paper, you will find two parallel lines.

Now, fold the paper in half vertically.

Open the paper.

You will find a line that is perpendicular to both parallel lines.

This is how you can fold a sheet of paper to create two parallel lines that are perpendicular to the same line.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the system of equations

\(\begin{bmatrix}-2x-5y=20\\ y=\frac{4}{5}x+2\end{bmatrix}\)

Please check the attached graph.

On the attached diagram:

The blue line represents the line -2x - 5y = 20

The red line represents the line y = 4/5x + 2

It is clear from the graph that both the graphs meet or intersect each other at the point (-5, -2).

In other words,

(x, y) = ( -5, -2) is the point of intersection of the two lines.

We know that the point of intersection of the two lines is the solution of the system of equations.

Therefore, the solution to the system of equations will be:

(x, y) = ( -5, -2)

The solution to the system of equations using the elimination method:

Given the system of equations

\(\begin{bmatrix}-2x-5y=20\\ y=\frac{4}{5}x+2\end{bmatrix}\)

Arrange equation variables for elimination

\(\begin{bmatrix}-2x-5y=20\\ -\frac{4}{5}x+y=2\end{bmatrix}\)

Multiply  -2x - 5y = 20 by 2:  -4x-10y=40

Multiply y = 4/5x + 2 by 5: -4x+5y=10

so

\(\begin{bmatrix}-4x-10y=40\\ -4x+5y=10\end{bmatrix}\)

now subtracting

\(-4x+5y=10\)

\(-\)

\(\underline{-4x-10y=40}\)

\(15y=-30\)

solve 15y = -30 for y

\(15y=-30\)

Divide both sides by 15

\(\frac{15y}{15}=\frac{-30}{15}\)

\(y=-2\)

For -4x-10y=40, plug in y = -2

\(-4x-10\left(-2\right)=40\)

\(-4x+20=40\)

simplify

\(-4x=20\)

divide both sides by -4

\(\frac{-4x}{-4}=\frac{20}{-4}\)

Simplify

\(x=-5\)

Therefore,

The solution to the system of equations will be:

(x, y) = ( -5, -2)