Which equation shows that you can find the power of a power by finding the product of the exponents?

The circumference of the circle is 23.864

In order to calculate the circumference of a circle, you need to multiply the Diameter of the circle with value of π (pi) which is 3.14.

In the given question,

given, d = 7.6cm

formula : C = d x π

therefore, C = 7.6 x 3.14 = 23.864cm

Write the answer correctly to 3 significant figures.

Alternatively, Circumference can also be calculated by using the value of the radius of the circle. We know, Radius = Diameter/2

Therefore, C = ( 2 x r ) x  π

Symbols:

π = pi ( value = 3.14)

d = diameter

r = radius

C = circumference

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Measure wall height from floor to ceiling. Exclude baseboards and moldings. Measure length of each wall including doors and windows.

Walls. Use the basic formula of Length x Width = Area to determine the area of a wall. Then, using the same approach, calculate the individual area of windows and doors. After you’ve taken all of these measurements, deduct the area of the windows and doors from the overall wall area. Methods of longwall and shortwall Long walls are those that run the length of the room, whereas short walls are those that run perpendicular to the length of the room.

Next, consider which unit of measurement is most appropriate for measuring a wall. Very tiny units such as inches, centimeters, and millimeters can be ruled out. We can also eliminate.

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Answer:

[tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Rate of change = [tex]\frac{Change in Y value}{Change in X value}[/tex]

                    Pick any two sets of 'X' and 'Y' value

I chose (-4, 6) as [tex](X_{1} ,Y_{1} )[/tex]and (12, -2) as [tex](X_{2} ,Y_{2} )[/tex] :

Rate of change = Slope / Gradient of graph = [tex]\frac{Y_{2} -Y_{1} }{X_{2} - X_{1} }[/tex]

                                                                         = [tex]\frac{-2 - (6)}{12 - (-4)}[/tex]

                                                                          = [tex]\frac{-2 - 6}{12 + 4}[/tex]

                                                                           = [tex]\frac{-8}{16}[/tex]

                                                                           =  [tex]\frac{- 1}{2}[/tex]

Answer:

Step-by-step explanation:

The rate of change in elevation of the second scuba diver in feet per minute would be -15 5/8 / 114 = -0.137 feet per minute.

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

Triangles are polygons because they have four sides or more. Its form is simple and geometric. An angle square with the letters ABC is known as a triangle. When the sides remain not collinear, Euclidean geometry generates a singular plane or square. Having three parts and three corners makes a triangle a polygon. The corners of a triangle are where the three sides meet. Angles in a triangle add up at 180 °.

Here,

Given:

So , the vertices are of unit length :

=> Area of triangle = 1/2 * b*h

=>  Area of triangle = 1/2 *  1 * 0.5

=>  Area of triangle = 0.25 unit square.

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

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40% first you turn it into a decimal, then u multiply it by 100 to get your percent.

For solving this question we will use the Unitary method

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The term "unitary method" refers to a process where the value of one item is initially determined before determining the values of any other items.

The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

2/5 = 0.4

0.4 x 100 = 40% first u turn it into a decimal, then u multiply it by 100 to get ur percent

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The full question will be

Tyrone is converting StartFraction 45 Over 50 EndFraction to a percent. Which method should he use to find the percentage?

None of the above gives the complete set of true responses for the probability that the event does not happen.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

None of the above provides the entire set of accurate replies for the likelihood that the event does not occur.

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Answer:

14

Step-by-step explanation:

Answer:

We can start by multiplying the first equation by 3:

12x + 24y = 120

Then we can multiply the second equation by 4:

12x - 8y = 56

Now, we have:

12x + 24y = 120

12x - 8y = 56

If we subtract the first equation from the second equation:

32y = 64

y = 64/24

y = 2

Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x.

Let's use the first equation:

4x+8(2) = 40

4x+16 = 40

4x = 24

x = 24/4

x =6

So, the solution of the system of equations is x = 6, y = 2.

According to the information we can infer that July earns $675 per week (answer 1), $715 every weekend (answer 2); $5,560 per month (answer 3), $3,050 for additional services (answer 4), and $8,610 as a year's total (answer 5).

To calculate how much does July make per week we have to take into account the following information:

Services that July currently make every week.

To calculate the total earned by July we have to multiply the price of each service by the number of customers of each one. Additionally, we have to add all results as shown in the following.

$195 + $170 + $160 + $90 + $60 = $675

To calculate how much does July make per weekend we have to take into account the following information:

Services that July currently make every weekend.

To calculate the total earned by July we have to multiply the price of each service by the number of customers of each one. Additionally, we have to add all results as shown in the following.

2 * $85 = $170

2 * $65 = $130

3 * $95 = $285

2 * $65 = $130

$170 + $130 + $285  * $130 = $715

To calculate how much July makes on a given month we have to add the weekend earnings with week earnings and multiply it by four (taking into account that a month has four weeks).

$715 + $675 = $1,390

$1,390 * 4 = $5,560

To calculate the total earned by July for additional services we have to calculate the total value of these services and multiply it by five.

2 * $185 = $370

3 * $80 = $240

$240 + $370 = $610

$610 * 5 = $3,050

To calculate how much would July make in a year for her regular services plus the additional services of the question 4, we have to add both values.

$5,560 + $3,050 = $8,610

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Surrender charges safeguard against such losses. Surrender costs on some annuities and insurance products can apply for as short as 30 days or as long as 15 years. If you cash in your investment in year one, the surrender cost for annuities and life insurance is typically 10%.

The surrender period is the amount of time that an investor must wait before withdrawing cash from an annuity without penalty. Surrender periods can last many years, and withdrawing funds before the conclusion of the surrender term may result in a surrender charge, which is basically a delayed sales cost.

The longer the surrender time, in general, but not always, the better the annuity's other terms.

The surrender period is the period during which an investor may withdraw funds from an annuity without incurring a surrender charge.

The surrender term can last many years, and annuitants may face large fines if they remove their invested assets before the time has finished.

Other financial instruments include a surrender period as well B-share mutual funds and entire life insurance plans are two examples.

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8 children are divided into 2 teams each containing 4 children to play a game against each other. 105 different divisions are possible.

Permutation:

In mathematics, permutation refers to the process of placing all members of a set into an order or sequence. In other words, if the set is already ordered, the permutation of its elements is called permutation. Substitutions occur in more or less noticeable ways in almost all areas of mathematics. They often occur when different orders are considered in a particular finite set.

Combination:

Combining is a way of selecting items from a collection, and (unlike permutation) the order of selection does not matter. In smaller cases you can count the number of combinations. Combining refers to combining n things, taken k times at once, without repetition.

According to the Question:

The first team can be chosen in ⁸C₂ = 28 ways.

After that, there are 6 people left, from which there are ⁶C₂ = 15 ways to choose the second team.

Then, there are 4 people left, out of which ⁴C₂ = 6 ways he can choose the third team. There is only one way to choose the fourth and final team from the remaining two.

In the above procedure, each occasion of splitting eight into her two his four teams counted as 4!= 24 times.

Thus,

The number of ways to divide a group of 8 people into 4 teams of 2 people = 28 × 15 × 6 / 24

            = 105

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The length of f in the triangle is 11.6 cm

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Cosine rule is therefore given as:

f² = g²+e²-2bccos F

f² = 4.3²+9.1²-2×4.3×9.1cos116

f² = 18.49+82.81-78.26(-0.44)

f² = 101.3+34.43

f² = 135.73

square root both sides

f = √135.73

f = 11.6 ( nearest tenth of centimeter)

therefore the length of f is 11.6cm

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Answer: P(not yellow) = 6/8

Step-by-step explanation:

It is correct 100%

Answer:

0.625 in decimal form

Probability of scalene triangle, isosceles triangle and at least one side of the triangle is 6 cm are  1/4, 1/2 and 1/2 respectively

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

A probability of 0 means that an event is impossible, a probability of 1 means that an event is certain to occur.

A scalene triangle is a triangle with no equal sides.

An isosceles triangle is a triangle with two equal sides.

An equilateral triangle is a triangle with all 3 sides equal.

Check the attached image to see how I labeled the triangles

Triangle 1 is isosceles (two sides with 6 cm each)

Triangle 2 is scalene

Triangle 3 is isosceles (two sides with 10 cm each)

Triangle 4 is equilateral (three sides with 4 cm each)

Probability (Scalene triangle) = 1/4

Probability ( isosceles triangle) = 2/4 = 1/2

Probability ( At least one side is 6 cm) = 2/4 = 1/2

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The second relation is a function

Answer:

Step-by-step explanation:

x=7

Answer: Area: 364 Perimeter: 80

Step-by-step explanation:

Since 2x=14, x=7. Then you plug 7 into 3x+5, so 3(7)+5=26. Then for area you do 14*26=364, and for perimeter you simply do (26+14)2=80

Mean has been affected most by the scores of these two students.

A bunch of scores is averaged to form the mean. The total scores were divided by the total scores. When population samples are tiny, the mean is susceptible to extreme scores.

When you add up all the individual scores and divide that total by the number of students, you obtain the mean, which is the arithmetic average score.

The average performance of a group of students on a test is represented by their mean scale score. A mean scale score is derived specifically by summing together the scores of each individual student and dividing that amount by the number of scores. It is additionally known as an average.

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Answer:

A.) Angle A Congruent to Angle D

C.) The scale factor of DE/AB is 2

Step-by-step explanation:

Image shows and supports those.

Answer:

the answer to this question is 107

More data needs to be collected to be able to conclude if more than half the students regularly recycle as the dotplot shows the results are variable.

1. Calculate the proportion of students who reported recycling in the sample:

55/100

= 0.55

2. Calculate the sample size:

100 students

3. Calculate the standard error: SE

= sqrt(0.50*(1-0.50)/100)

= 0.05

4. Calculate the 95% confidence interval:

CI = 0.55 +/- 1.96*SE

= 0.55 +/- 0.098

= (0.45, 0.65)

5. Compare the confidence interval to the true population proportion: 0.50 is not included in the CI, therefore we cannot conclude that more than half the students would say they regularly recycle.

We cannot conclude that more than half of the students would say they regularly recycle because the 95% confidence interval (0.45, 0.65) does not include the true population proportion (0.50). Therefore, more data needs to be collected to be able to draw a conclusion.

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The value of probability P(A ∩ B) = 3/10 = 0.3.

Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

Probability is used in many fields such as statistics, finance, economics, and science to make predictions and decisions based on uncertain information

Event A is drawing an odd card, which means that the odds are 5/10 or 1/2.

Event B is drawing a four or higher, which means that the odds are 7/10.

Event A ∩ B means that we are interested in the probability of drawing an odd card and drawing a card of four or higher at the same time. There are 3 cards that are both odd and four or higher, which are 5,7, and 9. So the probability of drawing one of these cards is 3/10.

Therefore, The value of probability P(A ∩ B) = 3/10 = 0.3.

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The method that solves initial values problem by using sloped at two points is Heuns method.

Therefore the answer is B. Heuns method.

The Heun's method, also known as the improved Euler method, is a numerical method used to solve initial value problems for ordinary differential equations. It is a second-order method, which means that it uses the slope at two points (the starting point and one other point) to estimate the solution at a future point.

Heun's method is an explicit method which is an extension of the Euler method, by using the slope at the midpoint between the current and the next steps to improve the accuracy of the solution.

Euler method is a first-order method which estimates the solution at a future point by using the slope at one point only.

RK method is a family of methods that ranges from first-order to fourth-order method, but it uses a combination of the slopes at different points to estimate the solution.

Picard's method is a method of solving differential equations that is based on the idea of repeatedly applying a function to an initial value until a fixed point is reached. It's a method that does not use slopes.

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The median of a trapezoid is parallel to the bases and equal in length to the average of their lengths. This is due to the midpoint theorem and the definition of the average.

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Answer:

Is your question complete? there's no y term

Answer:

Refer to the image attached.

Step-by-step explanation:

The domain and the range of the relation are given by the following option:

d. domain: {1, 2, 3}, range: {–1, 0, 1}.

The domain of a function is the set that contains all the input values, which are the values from which the arrow departs.

The range of a function is the set that contains all the output values, which are the values from which the arrow arrives.

Considering these definitions and the description of the set, the correct option is given by option d.

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The volume of the new box is 30 units^3.

We can infer the roots are rational integers from the response options, thus this polynomial ought to be simple to factor. The coefficients of x must multiply by 10, hence they must be in some sequence of 5,2,1 or 10,1. Since we can try each one separately, we can express the factored form as follows:

                                       (5x-p)(2x-q)(x-r)

Due to the fact that p, q, and r must multiply to 6, they must be either 3,2,1 or 6,1,1 in some sequence. Once more, we may test each one in a different place to determine if they multiply properly.

When we multiply the x-terms and attempt (5x-2)(2x-1)(x-3), the answer is 29. Try adding the x^2 terms together; they equal -39. Consequently, the roots are [tex]\frac{2}{5} , \frac{1}{2} and 3.[/tex] Now if you add 2 to each root, you get the volume is

=> [tex]\frac{12}{5} X \frac{5}{2} X 5 =30[/tex]

Therefore, The volume of the new box is 30 units^3.

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In mathematics, having an infinitely large amount or cardinality is referred to as having an infinity many.

Endless sets actually have an infinite number of components. If a set has continuity on both sides or is unbounded from start to finish, we can refer to it as infinite. For instance, the set of whole numbers W = 0, 1, 2, 3, etc. is an infinite set since it has an unlimited number of items. The set of real numbers is one of the uncountably infinite sets. Dots are used to symbolize the elements of an infinite set to denote the set's infinity.

There are some properties of infinite many solutions.

The superset of an infinite set is also infinite.

The subset of an infinite set may or may not be infinite.

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Answer:

Step-by-step explanation:

To calculate how many boxes of cookies Marcel needs to make to earn a profit of $245.00, we need to use the following formula:

Profit = (Revenue - Expenses) / Number of boxes

We know that the revenue is $15.00 per box and the expenses are $50.00. We also know that the profit should be at least $245.00.

So we can substitute these values into the formula and solve for the number of boxes:

$245.00 = ($15.00 - $50.00) / x

Where x is the number of boxes.

To solve for x, we'll need to multiply both sides of the equation by x:

$245.00*x = ($15.00 - $50.00)

$245.00*x = -$35.00

x = -$35.00/$245.00 = -0.142857143

The number of boxes is a negative value which is not possible, so Marcel will not earn a profit of $245.00. She will need to increase her revenue or decrease her expenses to reach a profit of $245.00.

Answer:

=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a calculator that gives step-by-step help on algebra problems. See More Examples ». x+3=5. 1/3 +

Step-by-step explanation:

Answer:

y=x^2+1

Step-by-step explanation: 4x+2=2 (x+6)

The amount of paint required for the grain silo is calculated to be

106.61 m²

The figure is made up of 2 objects a cylinder and the conical cover. Therefore, we solve for total surface area TSA of the cylinder and the cone and add

TSA for cylinder

= 2πr (h + r)

where

h = 6.2 m

r = 1.7 m

= 2π * 1.7 (6.2 + 1.7)

= 26.86π

TSA for cone

= πr (l + r)

where

l = slant height = 1.9 m

r = 1.7

= π * 1.7 (1.9 + 1.7)

= 6.12π

how much paint required = TSA for cone + TSA for cylinder

how much paint required = 6.12π + 26.86π

how much paint required = 32.98π

how much paint required = 103.61 m²

the thickness of the painting will say the volume of paint

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