Solve the equation w = xyz for z

At its closest, Saturn is about 743,000,000 miles from Earth. And a deep-space probe travels from Earth to Saturn at an average speed of 25,000 miles per hour.

Step-by-step explanation:

8r^2 eight r squared hope this is right

It is the simplest fraction form

Answer:

it manages and controls input output devices.

Answer: C) n+1

If n is some integer, then the next one after that is n+1.

Example: Say n = 5, then n+1 = 5+1 = 6.

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b

y = 1x + b

5 = 1 + b

b = 4

y = x + 4

Given that 1 kilometer = 0.62 mile, 36 inches = 1 yard, and 1 mile = 1760 yards, 1 km has approximately 39,283.2 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

From the problem, the conversion factors are given as

1 kilometer = 0.62 mile

36 inches = 1 yard

1 mile = 1760 yards

To convert 1 kilometer into inches, first, convert 1 kilometer to miles using the conversion factor, 1 kilometer = 0.62 mile

1 km = 0.62 miles

Then, convert miles to yards using the conversion factor, 1 mile = 1760 yards

1 km = 0.62 miles = 0.62 (1760 yards)

1 km = 0.62 miles = 1091.2 yards

Lastly, convert yards to inches using the conversion factor, 36 inches = 1 yard

1 km = 0.62 miles = 1091.2 yards = 1091.2 (36 inches)

1 km = 0.62 miles = 1091.2 yards = 39,283.2 inches

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The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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As calculated with the help of Pythagorean theorem, The ladder will reach 19.36 feet high on the building.

What is Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental Euclidean geometry relationship between the three sides of a right triangle. The square whose side is the hypotenuse, or the side across from the right angle, has an area equal to the sum of the areas of the squares on its other two sides. The Pythagorean equation, which connects the lengths of the sides B, P, and the hypotenuse H, can be used to express this theorem.

H² = B² + P²

As given in the question,

the length of the ladder is 20 ft. which will work as a hypotenuse of a right angled triangle,

The base is 5 ft.

we need to find the perpendicular line to the base.

Applying Pythagorean theorem.

H² = B² + P²

20² = 5² + P²

400 = 25 + P²

400 - 25 = P²

P = 19.36 ft.

Therefore, the ladder will go 19.36 ft. high on the building.

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Answer:

187/2

Step-by-step explanation:

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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The change that will be gotten based on the cost illustrated is $10.

From the information, it should be noted that the person is given $20.

The cost of the pound of grapes will be: = 2 × $1.95 = $3.90

The cost of the loaves of bread will be: = 2 × $2.55 = $5.10

Cost of corn = $1.00

Therefore, the change that will be gotten will be:

= $20 - ($3.90 + $5.10 + $1.00)

= $20 - $10

= $10

Therefore, the change that will be gotten based on the cost illustrated is $10.

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The surface area of a sphere with a radius of 4.18 meters is approximately 219.57 square meters. The area of a right triangle with side lengths of 8.55 meters and 2.13 meters is approximately 9.10 square meters.

To find the surface area of a sphere, we use the formula: A = 4πr^2, where A represents the surface area and r is the radius of the sphere. Substituting the given radius of 4.18 meters into the formula, we get A = 4π(4.18)^2. Evaluating this expression, we find that the surface area of the sphere is approximately 219.57 square meters.  

For the right triangle, we can use the formula for the area of a triangle, which is A = (1/2)bh, where A represents the area, b is the base, and h is the height of the triangle. In this case, the base is 8.55 meters and the height is 2.13 meters. Substituting these values into the formula, we have A = (1/2)(8.55)(2.13), which simplifies to A ≈ 9.10 square meters. Therefore, the area of the right triangle is approximately 9.10 square meters.

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Answer:

46

Step-by-step explanation:

23 x 2 = 46

Hope this helps!

The inverse of (- 2 . 3 ) is (1 / - 2.3 ).

In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.

As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:

(-2.3) x ( 1 / -2.3 ) = 1

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Answer:4/13

Step-by-step explanation:

It is 4*(4/52)

Answer:

C ≈ 10.63

Step-by-step explanation:

A= π r^2

C=2 π r

Please mark this answer brainliest!

Answer:  B   6\(\sqrt{\pi }\)

Step-by-step explanation:

Given:  A=9

Find: Circumference

Solution:

Formula for C=2\(\pi\)r

We need r which is not given but we can find r from the Area

A=\(\pi r ^{2}\)                       >substitute what is given: A=9

9 = \(\pi r ^{2}\)                     >Divide both sides by pi

\(\frac{9}{\pi }=r^{2}\)                      > take square root of both sides

r  = \(\sqrt{\frac{9}{\pi } }\)                    >take square root of top

r=\(\frac{3}{\sqrt{\pi } }\)

Now that we have r we can substitute into C

C= 2\(\pi\)r                     >substitute r

C = 2 \(\pi\) (\(\frac{3}{\sqrt{\pi } }\))             >can't have root on bottom, multiply by \(\frac{\sqrt{\pi } }{\sqrt{\pi } }\)

C =  2 \(\pi\) (\(\frac{3}{\sqrt{\pi } }\))  \(\frac{\sqrt{\pi } }{\sqrt{\pi } }\)      >simplifiy roots on bottom

\(C = \frac{2\pi (3)(\sqrt{\pi } }{\pi }\)       > the pi's cancel

C=2(3)\(\sqrt{\pi }\)

C= 6\(\sqrt{\pi }\)

B

Using the Fundamental Counting Theorem, it is found that:

a) 1000 combinations are possible.

b) The probability of winning is of 0.001.

c) If you win, the net profit is of $497.

d) The expected value of a $3 bet is of -$2.5.

It is a theorem that states that if there are n trials, each with \(n_1, n_2, \cdots, n_n\) possible results, each thing independent of the other, the number of results is given as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In the context of this problem, three digits that can be repeated are chosen, hence the parameters are:

\(n_1 = n_2 = n_3 = 10\)

Hence the number of combinations is:

N = 10³ = 10 x 10 x 10 = 1000.

The order also has to be correct, hence the there is only one winning outcome and the probability is:

p = 1/1000 = 0.001.

You bet $3, and if you win you collect $500, hence the net profit is of:

500 - 3 = $497.

Then the distribution of earnings are as follows:

Hence the expected value is:

E(X) = -3 x 0.999 + 497 x 0.001 = -$2.5.

The problem is given by the image at the end of the answer.

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The doctor would prescribe 8 milliliters of acetaminophen for Jocelyn, who weighs 40 pounds.

According to the given information, pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child's weight. So, if a child weighs 50 pounds, the doctor would prescribe 10 ml of acetaminophen.

Now, let's apply this formula to Jocelyn's weight. As Jocelyn weighs 40 pounds, we need to calculate how many 25-pound increments her weight contains. To do this, we can divide her weight by 25:

40 pounds ÷ 25 pounds = 1.6 increments

This means that Jocelyn's weight is equivalent to 1.6 times the 25-pound increment used in the prescription. To determine the amount of acetaminophen she needs, we can multiply 5 ml (the prescribed dose for 25 pounds) by 1.6:

5 ml × 1.6 = 8 ml

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Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

Answer:

Area is the size of the surface. To get the area you multiply one side from the vertical edge and 1 from the horizontal

Step-by-step explanation: heres an example sorta pretend its full shape        

    i

27 i

    i

    i

    ____________

                10

10x27=270

270 is the area

An area is the quantity showing how much an object has covered a space.

Area is the size of a surface.

Area :-

Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

The geometry of such a shape contains at least three sides joined together to form a boundary.

Symbolic representation of such space in mathematics refers to the “area” formula.

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Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

Answer:

3/4 in decimal form is 0.75.

Step-by-step explanation:

I hope this helps! :)

Answer:

0.75

Step-by-step explanation:

3/4 is expressed as 0.75 in the decimal form.

to make a fraction into a decimal you just divide the numerator by the

denominator.

and the numerator is the part of a fraction that is above the line

denominator is at the bottom

so 3 / 4 = 0.75

3/4 in decimal form is 0.75

Hope This Helped

Answer:

17

Step-by-step explanation:

The image is not too clear. Let us assume we need the base AB

AB  = opposite

BC = hypotenuse

Sin theta = opp/hyp

Sin 37 = AB/BC

Sin 37 = AB/28

AB = 28sin37

AB = 28(0.6018)

AB = 16.85

AB ≈ 17

Hence the length of AB is 17

A library has 5 copies of a certain book in stock. Two copies (1 and 2) are first printings, and the other three (3,4 and 5) are second printings.

(a) The outcomes in the sample space S are as follows:

S = {(5), (3), (4), (2, 3), (2, 4), (2, 5), (1, 3), (1, 4), (1, 5)}

(b) The event A denotes that exactly one book must be examined. Outcomes in A are:

A = {(3), (4), (5)}

(c) The event B denotes that book 4 is the one selected. Outcomes in B are:

B = {(4)}

(d) The event C denotes that book 2 is examined. Outcomes in C are:

C = {(2, 3), (2, 4), (2, 5)}

In summary, the sample space S consists of all possible outcomes when examining the books in random order. Event A represents the outcomes where exactly one book needs to be examined, which includes the individual books (3), (4), and (5). Event B represents the outcome where book 4 is selected. Event C represents the outcomes where book 2 is examined along with other books.

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The container would hold 2040 cubic feet of shipped goods when it's three-quarters full.

The dimensions of the container are given as 40 ft by 8 ft by 8 ft 6 in. We need to convert the height of 8 ft 6 in to feet by dividing it by 12 since there are 12 inches in a foot:

8 ft 6 in = 8 ft + (6 in / 12) ft

         = 8 ft + 0.5 ft

         = 8.5 ft

Now we can calculate the volume of the container:

Volume = Length × Width × Height

      = 40 ft × 8 ft × 8.5 ft

      = 2720 ft³

To find the volume when the container is three-quarters full, we multiply the total volume by 0.75:

Volume when three-quarters full = 2720 ft³ × 0.75

                              = 2040 ft³

Therefore, the container would hold 2040 cubic feet of shipped goods when it's three-quarters full.

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Answer: c

Step-by-step explanation:

Edge 2021

Answer: C

Step-by-step explanation:

got it right

Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.

To determine if a function is even, we need to check if f(-x)=f(x).

9514 1404 393

Answer:

  143 m

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(33°) = b/(170 m)

  b = (170 m)cos(33°) ≈ 142.57 m

The measure of side b is about 143 meters.

A relation where each input has precisely one output was described as a function. Each input is mapped to a single output value, in other words. Every input value is translated into a single distinct output value in a one-to-one function. Another way to phrase it is that no two input items produce the same output value.

The function f(x)=x +2 is depicted in the graph above. This graph does not map the same x-value to the same y-value everywhere, indicating that it is a one-to-one function.

Here are some additional one-to-one functions:

Because no 2 input values have the same cube root and thus do not produce the same outputs, X³+1 is a one-to-one function.

Because different inputs might result in the same outputs, X² is not a function. Consider the numbers -1 and 1. These two values both produce the value 1, indicating that this equation is not one-to-one.

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Answer:
SKITTLES: 35
M&MS: 20

Step-by-step explanation:

First, I multiplied how much is required for to be even, which is 27.5.

So just double the m&m's, which is 55, then subtract the 55 m&m's by 20, and then you get 35 skittles.

Then you have 20 bags of m&m's left over, hope this is correct and helpful.