x+5y=5. 3x-5y=3. método de igualación porfa​

Answer:

f(x) = −2/5x + 1

Step-by-step explanation:

when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.

Hope This Helps!

Plz Mark Brainliest!

Answer:

try putting -5x I believe that's it

The volume of the prism ( above fig.) is equals to the 900 cubic units. So, first one option is right answer of this problem.

Prisms and pyramids are very important solid shapes. They have many uses in real life. Each type of pyramid or prism has different formulas for volume and area. The general formula of volume, V = Base area × Height

Here, we take the triangular part of the prism as the base. We have, a prism with triangular base.

Triangular base area = 1/2 × B × H

Base length of triangle, H = 15

Height of triangle, B = 8

Triangular base area = 1/2×15×8 = 60 square units

Volume of prism , V = 60 sq. units × 15 units

= 900 cubic units

Hence, the volume of prism is 900 cubic units.

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Henry will make $115 in 5 hours

Henry made $207 in 9 hours

The first step is to calculate the amount the Henry will make in 1 hour

207= 9

x= 1

cross multiply both sides

9x= 207

x= 207/9

x= 23

The amount made in 5 hours can be calculated as follows

$23= 1 hour

y= 5 hours

cross multiply

y= 23 × 5

y= 115

Hence Henry will make $115 in 5 hours

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Answer:

x = 9

Step-by-step explanation:

Both the triangles are similar, so the corresponding sides are also similar.

That is,

12 / 8 = x / 6

Cross multiply,

x * 8 = 12 * 6

8x = 72

Divide 8 on both sides,

x = 72 / 8

x = 9

Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

Answer:

y = 2x - 2

Step-by-step explanation:

x + 2y = 6 can be solved for y (and thus for slope m) as follows:

    2y = -x + 6, or y = (-1/2)x + 3.  

Any new line perpendicular to this one has a slope that is the negative reciprocal of (-1/2); that would be +2.

Starting from y = mx + b,

Replace x with the given 5, y with the given 8 and m with the calculated +2:

8 = 2(5) + b, or

b = -2

and then the desired equation is

y = 2x - 2

Answer:

-3 -2.5 -1 2 5

Step-by-step explanation:

In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.

According to the question, the critical value for finding a 90% confidence interval estimate for a mean from a sample of 15 observations is 1.761.

To find the critical value for a 90% confidence interval estimate for a mean when the standard deviation is unknown and the sample size is 15, we need to use the t-distribution.

The critical value is determined by the confidence level and the degrees of freedom. For a 90% confidence level, the corresponding area in the tails of the t-distribution is \(\(\frac{{1 - 0.90}}{2} = 0.05\)\).

Since the sample size is 15, the degrees of freedom for the t-distribution is \((n - 1) = 15 - 1 = 14\).

We can use statistical software or a t-table to find the critical value associated with a 0.05 area in the tails of the t-distribution with 14 degrees of freedom. The critical value is approximately 1.761.

Therefore, the critical value for finding a 90% confidence interval estimate for a mean from a sample of 15 observations is 1.761.

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Answer:

-5 and 2

Step-by-step explanation:

-5+2=-3

-5*2=-10

Answer:

86.6 feet (3 s.f.)

Step-by-step explanation:

Please see attached picture.

tan60°= height of tower/ 50

Height of tower

= 50tan60°

= 50√3

= 86.6 ft (3 s.f.)

tanѲ= opp/ adj

The measurement of the LM will be 42.0

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Here given in the question that one side of the wall 5 feet

So as it is a rectangular bedroom it can be split into 2 right-angled triangles.

So the hypotenuse of the triangle is 13 feet

Now using the Pythagoras theorem we can find out the length of the other wall

b² = h² -p²

given KM = 52, NL = 33

So the triangle MLN

LM = √(33²+26²) = 42.0

Hence The measurement of the LM will be 42.0

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Using the volume formula the number of cubic inches of hot chocolate needed to completely fill the thermos is 192π.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The formula to find the volume of a cylinder is -

Volume = πr²h

where π is pi (approximately 3.14159), r is the radius of the base of the cylinder, and h is the height of the cylinder.

In this case, the radius of the cylinder is given as 4 inches and the height is given as 12 inches.

So we can use the formula above to find the volume of the thermos -

Volume of thermos = π x (4 inches)² x 12 inches

= π x 16 square inches x 12 inches

= 192π cubic inches

Therefore, volume for thermos is 192π.

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This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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A mathematical quantity having both direction and magnitude is called a vector.

A vector is a mathematical quantity that has both direction and magnitude. It is often represented graphically as an arrow, where the length of the arrow corresponds to the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Vectors are used in many areas of mathematics and science, including physics, engineering, and computer science. Some common operations performed on vectors include addition, subtraction, dot product, and cross product.

Vectors can also be expressed in various coordinate systems, such as Cartesian, polar, and spherical coordinates, depending on the context and application.

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The value of x from the given triangle formed by the pot hanging from a brace is; x = 50°

We are given from the diagram that;

∠NMP = 110° and ∠NPM = 30°

Sum of angles in a triangle is 180°.

Thus;

∠MNP = 180 - (110 + 30)

∠MNP = 40°

Thus;

x = 90 - 40

x = 50°

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588 people can sit in the theater. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four basic operations, often referred to as "arithmetic operations", are thought to be able to describe all real numbers. Divide, multiply, add, and subtract are the four mathematical operations that result in the quotient, product, sum, and difference.

We are given that the theater of the Washington Elementary School has 14 rows of 42 seats.

So, using the arithmetic operations, the total seats in the theater are as follows:

Total seats = 14 * 42

Total seats = 588

Hence, 588 people can sit in the theater.

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Answer:

2/1

Step-by-step explanation:

x1=1 ,y1=3

x2=2 , y2=5

then

m= 5-3/2-1= 2/1

The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.

This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.

The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.

In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.

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The lateral area of the pentagonal prism is   = 850

A prism with two pentagonal bases and five rectangular sides is called a pentagonal prism. It is a hexagon.

the pentagonal prism has a base that is pentagonal. With seven faces, fifteen edges, and ten vertices, it is a particular kind of heptahedron.

All of an object's sides, excluding its base and top, are referred to as its lateral surface (when they exist). The size of the lateral surface is referred to as the lateral surface area. The total surface area, which consists of the lateral surface area along with the areas of the base and top, should be distinguished from this.

base of a pentagonal right prism is  = 17

lateral edge of the prism measures  = 10

the prism's lateral area = ?

According to the formula :

Area = 5 x base x height

       = 5 x 17 x 10

       =  850

The lateral area of the pentagonal prism is   = 850

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Answer:

B,C,F :)

Step-by-step explanation:

Hope this helps!

The properties of rotation that are true are:

Rotations preserve size.

Rotations of 360° map a figure to itself.

Lines connecting corresponding points on the preimage and image have equal lengths.

Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal lengths.

We have,

The following properties of rotations are true:

Rotations preserve size.

Rotations of 360° map a figure to itself.

Lines connecting corresponding points on the preimage and image have equal lengths.

Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal lengths.

The following properties are not always true:

Rotations are always counterclockwise. (Rotations can also be clockwise, depending on the direction of the angle of rotation.)

Lines connecting corresponding points on the pre-image and image are parallel.

(This is only true if the angle of rotation is a multiple of 180°.)

Therefore,

The properties that apply are:

Rotations preserve size.

Rotations of 360° map a figure to itself.

Lines connecting corresponding points on the preimage and image have equal lengths.

Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal lengths.

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Answer:

y = -0.5x + 4

Step-by-step explanation:

y = mx + c

m = gradient

= (change in y) ÷ (change in x)

= -1/2

c = y intercept

= 4

There are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.

In 2008, the United States Department of Health and Human Services reported that there were approximately 113,000 patients in the United States awaiting organ transplants. Of those, only 28,535 received an organ transplant that year. This is a ratio of approximately 1 in 4. This can be expressed mathematically as 28,535/113,000 = 0.25, or one fourth. This means that for every 4 people awaiting an organ transplant in the United States in 2008, only 1 actually received one. While organ transplants are a life-saving procedure for many, the reality is that there are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.

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Complete question:What were the numbers of patients waiting for and receiving an organ transplant/donation in the United States in 2008, according to Mark Cherry?

Answer:

Step-by-step explanation: (This is to show the equation of the Pythagorean Theorem.)

Remember the Pythagorean theorem is A^2 + B^2 = C^2. To find out a part of a right triangle using the Pythagorean theorem, you would find either A, B, or C. As an example, let us say that A is equal to 10, and B is equal to 8. How we find C^2, is we add A and B, but we square both numbers.

(10^2) + (8^2) = (C^2). We square 10 by itself, and we get 100 as our A. We also square 8 by itself as well, and we get 64 as our B. C does not have any number representing the variable, so we leave it as it is. 100 + 64 = 164 for C. We have to square root 164, since we're using exponents. (Please note that all my equations won't be a complete whole number, I'm using random numbers to show.) To find B or A, we find this equation. Let us keep our own variable, but C is equal to 15. To find B, we make the equation (10^2) + (B^2) = (15^2) or (A^2) + (8^2) = (15^2). To find B, We square 10 by itself to get 100, like from the last equation, but B doesn't have any number for the variable, so we keep it the same. We square 15 to get 225. After we get our 2 numbers, we subtract {100 + (B^2) = 225} ->

{(100 - 100) + (B^2) = (225 - 100)} -> {B^2 = 125}. We square root 125 to get our answer.

To find A, A doesn't have any number to fill in for the variable, We square 8 to get 64. We square 15 to get 225. After we get our 2 numbers, we subtract {(A^2) + 64 = 225} -> {A^2 + (64 - 64) = (225 - 64)} -> {B^2 = 161}. We square root 161 to get our answer. For the 3 sides: A and B, near the right triangle are both the "legs" of the triangle, while the slant of the triangle (C), is the hypotenuse.

Answer: m=-11

Step-by-step explanation:

To find the slope of the line, you want to use formula \(m=\frac{y_2-y_1}{x_2-x_1}\). Since we are given two points, we can directly plug them in and solve.

\(m=\frac{-21-(-10)}{4-3} =\frac{-11}{1} =-11\)

Now, we know that the slope is -11.

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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