what percent of 75 is 15

rebember to wright answer in percent form

Answer:

D.

Step-by-step explanation:

Choices A., B., and C. are always true.

Choice D. is true only for rectangles with congruent sides, which are squares.

Answer: D.

Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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Answer:

10

вот правильный ответ) я точно проверяла

Answer:

6

Step-by-step explanation:

Hope this helps.

The probability of selecting a paperback written in Spanish would be less than 12% when there are fewer than 5 paperbacks written in Spanish on the shelf.

Let's assume that there are x books on the shelf that are paperbacks written in Spanish. Since there are a total of 45 books on the shelf, the number of hardcover books written in Spanish would be 45 - x.

The probability of selecting a paperback written in Spanish would be (x/45), and we want this probability to be less than 0.12.

So, we have the inequality:

x/45 < 0.12

To solve for x, we can multiply both sides of the inequality by 45:

x < 0.12 * 45

Simplifying:

x < 5.4

Therefore, the probability of selecting a paperback written in Spanish would be less than 12% when there are fewer than 5 paperbacks written in Spanish on the shelf.

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Answer:

The tank can hold  4423.36 feet³ of water.

Step-by-step explanation:

Given that,

Height = 22 feet

Diameter = 16 feet

We need to calculate the maximum amount of water

Using formula of volume

\(V=\pi r^2h\)

Where, h = height of cylinder

r = radius of cylinder

Put the value into the formula

\(V=\pi\times(8)^2\times 22\)

\(V= 4423.36\ feet^3\)

Hence, The tank can hold  4423.36 feet³ of water.

The value of z is 70 according to the information provided.

The line segment of a triangle connecting any two of it's own sides at their midpoints is considered to be parallel toward the triangle's third side and to have half its length, in accordance with the midpoint theorem.

Contrary to the Mid Point Theorem Statement: The third side of a triangle is divided by a line that is drawn through the center of one side and runs parallel to another side.

According to mid point theorem

HK = 1/2 IJ

z - 37 = 1/2 (z - 4)

2z - 74 = z - 4

2z - z = 74 - 4

z = 70

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The area of a rectangle can be found by multiplying its length and width.

To find the area of rectangles with different perimeters, we need to use the formula:

Area = length x width

Possible dimensions:

Length = 5 cm, Width = 3 cm

Length = 4 cm, Width = 4 cm

Area of the first rectangle = 5 cm x 3 cm = 15 cm²

Area of the second rectangle = 4 cm x 4 cm = 16 cm²

Possible dimensions:

Length = 6 cm, Width = 4 cm

Length = 5 cm, Width = 5 cm

Area of the first rectangle = 6 cm x 4 cm = 24 cm²

Area of the second rectangle = 5 cm x 5 cm = 25 cm²

Possible dimensions:

Length = 4 cm, Width = 3 cm

Area of the rectangle = 4 cm x 3 cm = 12 cm²

Therefore, the areas of the possible rectangles with perimeters 16cm, 20cm, and 14cm are:

For perimeter 16cm: 15 cm² and 16 cm²

For perimeter 20cm: 24 cm² and 25 cm²

For perimeter 14cm: 12 cm²

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The center of mass can be determined by dividing the moment of the solid with respect to each coordinate axis by the total mass.

In cylindrical coordinates, the paraboloid and the plane can be represented as z = 12r^2 and z = a, respectively. To find the mass, we integrate the density function k over the region of the solid, which is bounded by z = 12r^2, z = a, and the region in the xy-plane where the paraboloid intersects the plane z = a. The integral becomes M = k * ∭ρ dV, where ρ is the density function.

To find the center of mass, we calculate the moments of the solid with respect to each coordinate axis. The x-coordinate of the center of mass can be obtained by dividing the moment about the x-axis by the total mass. Similarly, the y-coordinate and z-coordinate of the center of mass can be calculated by dividing the moments about the y-axis and z-axis, respectively, by the total mass.

By evaluating the triple integral and performing the necessary calculations, we can determine the mass and center of mass of the given solid in cylindrical coordinates.

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Answer: 1.24413 x \(10^{9}\)

Step-by-step explanation:

Answer:

1.24413•10^9

Step-by-step explanation:

1.24413•10^9=

1,244,130,000

When x does not have full rank, it means that the columns of x are not linearly independent. This means that there exists a non-zero vector b such that xb = 0. Let's see why px = x when this is the case.

First, let's recall what the projection matrix p is. The projection matrix p is defined as p = x(xTx)-1xT. This matrix projects any vector onto the column space of x.

Now, let's see what happens when we multiply px:
px = x(xTx)-1xTx
Since xTx is a scalar, we can write this as:
px = x(xTx)-1(xTx)
px = x

So we can see that px = x when x does not have full rank. This is because the projection matrix p projects any vector onto the column space of x, and when x does not have full rank, the column space of x is the same as the column space of px.

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43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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Answer:

gg

Step-by-step explanation:

gfg

The x-component, y-component, and magnitude of the vector -3.5A.

(a) To find the x-component of the vector -3.5A, we need to multiply the x-component of vector A by -3.5. The x-component of vector A can be found using the formula:

x-component = |A| * cos(θ), where |A| is the magnitude of vector A and θ is the angle it makes with the positive x-axis. Substituting the given values, we have: x-component = 56.8 m * cos(145°).

Evaluating this expression gives us the x-component of -3.5A.

(b) To find the y-component of the vector -3.5A, we multiply the y-component of vector A by -3.5.

The y-component of vector A can be found using the formula: y-component = |A| * sin(θ), where | A| is the magnitude of vector A and θ is the angle, it makes with the positive x-axis.

Substituting the given values, we have:

y-component = 56.8 m * sin(145°). Evaluating this expression gives us the y-component of -3.5A.

(c) The magnitude of the vector -3.5A can be found using the Pythagorean theorem: |-3.5A| = √((x-component)^2 + (y-component)^2).

By substituting the calculated values of the x-component and y-component into this equation, we can find the magnitude of -3.5A.

By evaluating these expressions, we can determine the x-component, y-component, and magnitude of the vector -3.5A.

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Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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The value of x is 10.

Given triangle is a right-angled triangle.

Let the lengths of not mentioned lengths be 2p(hypotenuse) and 2q (other side).

There are two triangles in the given picture.

Consider the smaller triangle.

Apply Pythagoras theorem to that i.e.,

\(p^{2}\) = \((3x)^{2} + q^{2}\)

(Here, total hypotenuse is 2p length and the smaller triangle has half of its length. So, length is p. Similarly in case of q)

\(p^{2} = 9x^{2} + q^{2}\)  (Equation 1)

Now, consider the large triangle.

Apply Pythagoras theorem to that i.e.,

\((2p)^{2} = (4x + 20)^{2} + (2q)^{2}\)

\(4p^{2} = (16x^{2} + 160x + 400) + 4q^{2}\)

Substitute \(p^{2}\) from Equation 1

\(4(9x^{2} + q^{2} ) = 16x^{2} + 160x + 400 + 4q^{2}\\\)

\(36x^{2} + 4q^{2} = 16x^{2} + 160x + 400 + 4q^{2}\)

\(36x^{2} = 16x^{2} + 160x + 400\)  (\(4q^{2}\) from both sides got cancelled)

\(20x^{2} - 160x - 400 = 0\)

Solving the quadratic equation,

\(20x^{2} - 200x + 40x - 400 = 0\)

\(20x(x - 10) + 40(x - 10) = 0\)

\((20x+ 40)(x - 10) = 0\)

So, 20x + 40 = 0 or x - 10 = 0

i.e., x = -2 or 1o

But \(x \neq -2\) because angles cannot be negative.

So, x is 10.

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There are 37 seats in each row in a rectangular auditorium seated 1110 people, where the number of seats in each row exceeds the number of rows by 7.

Given that the auditorium is rectangular and seats 1110 people. Let the number of rows in the auditorium be x and the number of seats in each row be y. It is given that the number of seats in each row exceeds the number of rows by 7. That is, y = x + 7.

We know that the number of seats in the auditorium is equal to the product of the number of rows and the number of seats in each row.
Therefore, xy = 1110

Substituting y = x + 7 in the above equation, we get
x(x + 7) = 1110x² + 7x - 1110 = 0

Factoring the above equation, we get(x + 37)(x - 30) = 0
Since the number of rows cannot be negative, we take x = 30.
Substituting x = 30 in the equation y = x + 7, we get
y = 30 + 7 = 37

Let us prove the solution obtained is correct.
We know that the number of seats in the auditorium is equal to the product of the number of rows and the number of seats in each row. Therefore, xy = 1110
Substituting x = 30 and y = 37 in the above equation, we get30 × 37 = 1110
Hence, the solution is verified.

Therefore, the number of seats in each row is 37.

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It is true that Sarah's maximum heart rate over this twenty-year period will have decreased by approximately 8%.

The percentage decrease is determined by ascertaining the reduction or difference in heart rate at the beginning and at forty.

This difference becomes the numerator of the division operation by the heart rate at the beginning and then multiplied by 100.

Sarah's heart rate at twenty years = 193 beats per minute

Sarah's heart rate at forty years = 178 beats per minute

Difference (Decrease) in heart rate = 15 beats per minute (193 - 178)

Percentage decrease = 7.77% (15/193 x 100)

= 8%

Thus, we can conclude that Sarah's heart rate has decreased by about 8%.

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Answer:

5 porque 3 mas 2 es 5, 4 mas 1 es 5

y=4x-3 is the equation of the line in slope-intercept form with slope m=4 through the point (-2,5)

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

We need to write equation of the line in slope-intercept form with slope m=4 through the point (-2,5)

y=4x+b where 4 is the slope.

Now put x and y values to find y intercept

5=4(-2)+b

5=8+b

Subtract 8 from both sides

-3=b

So slope intercept form of line is y=4x-3

Hence  y=4x-3 is the equation of the line in slope-intercept form with slope m=4 through the point (-2,5)

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Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

\(90 {cm}^{2} \)

Step-by-step explanation:

First we have to split the entire shape into smaller pieces. We see two triangles and 3 rectangles.

\(area \: of \: tringle = \frac{1}{2} base \times height\)

The base of the triangle is 3 and the height is 4

\( \frac{1}{2} (3) \times 4 = 6 \)

we then multiply 6 by 2 because there are two triangles and both of them are equal (have the same measurement): 《6 x 2 = 12 cm^2》

\(area \: \: of \: rectangle = length \times width\)

Therefore the area of the rectangle on the side would be: 《6 x 5 = 30》. It would also be multiplied by two because there are two rectangles at the side (both being equal) :《30 x 2 = 60 cm^2》

There is also a rectangle at the base of the shape, we use the same formula to find its area: 《6 x 3 = 18 cm^2》

We now add all of the areas that we got for the shapes: 12 + 60 + 18 = 90

Answer:

B

Step-by-step explanation:

when you solve B you get 15 and for all the other ones you get a non-terminating decimal

Answer:

Step-by-step explanation:

first 7 primes after 60

61 67 71 73 79 83 89

Lowest prime after 90 is 97

Highest prime before 120 is 113

113 - 97 = 16

Answer:

3.6990.

Step-by-step explanation:

log 5000 = log (5 * 1000)

= log 5 + log 1000

= 3 + log 5

= 3.6990.

Answer: you said we want to approximate log three. Given log of nine. Well, when is nine equal to three times for twosome power? Well, we know that's nine is three to depart to, so this is equal to 33 part X. So that's what accessible to to Well, if we have log of nine as log to the power of three very long of three tomorrow to this is equal to log nine. What? We could marry that as to the three. So this is equal to log of nine. So we want to solve for a log of three. Right? So it's just isolate this number here so we get that log of three is equal to log of 9/2. Let's put that in. We know that log of nine. Is there a 90.9542 over to, and this gives us. This is equal to a 0.4771

Step-by-step explanation:

If both p and 2p+1 are prime, then 2p+1 is a safe prime and p is a Sophie Germain prime.

Sophie Germain was a French mathematician who used these primes to investigate Fermat's Last Theorem, a famous mathematical conjecture that was finally proved in 1994 by Andrew Wiles. A safe prime is a prime number of the form 2p+1, where p is also a prime number, and it is called "safe" because it has some cryptographic properties that make it useful in certain encryption schemes.                                                                                                                                          In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions.

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