subtract the sum of all prime numbers between 10 and 20 from the sum of all composite number between 10 and 20 what is it​

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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The Riemann sum that approximates the area under the graph of the function f(x) = 4 - x^2 on the interval [-2, 2] as the number of partitions, n, tends to infinity.

The Riemann sum corresponding to the area under the graph of the function f(x) = 4 - x^2 on the interval [-2, 2] can be expressed as: lim(n→∞) Σ(i=0 to n-1) [f((-2 + n/(4i))^2)] * (n/(4)). Taking the limit as n approaches infinity, we can simplify the expression as follows: lim(n→∞) Σ(i=0 to n-1) [4 - ((-2 + n/(4i))^2)] * (1/(4/n)). Simplifying further, we have: lim(n→∞) Σ(i=0 to n-1) [4 - ((-2 + n/(4i))^2)] * (n/4). Alternatively, we can rewrite the Riemann sum as: lim(n→∞) Σ(i=1 to n-1) [4 - ((-2 + n/(4i))^2)] * (n/4).

Both expressions represent the Riemann sum that approximates the area under the graph of the function f(x) = 4 - x^2 on the interval [-2, 2] as the number of partitions, n, tends to infinity.

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Answer:

it means an exponent like 10 to the power of 3 would look like this \(10^{3}\)

Hopes this helps please mark brainliest

Step-by-step explanation:

Answer:

1 unit

Step-by-step explanation:

divide by pi (3.14) to get the diameter of a circle

x/9>12

x>12×9

x>108

This is your answer

The area under the curve is \(\frac{6 \sqrt{3}}{5}\).

Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)

The objective is to find area enclosed by the curve using the formula.

The area under the curve is given by parametric equations x=f(t), y=g(t),  and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:

\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)

The curve has intersects with y-axis. so x=0

\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)

Now we have to draw the graph,

Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)

Differentiate the curve f(t) with respect to t.

\(f^{\prime}(t)=2 t-3\)

Now, find the area under the curve use the above formula.

\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)

\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)

\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)

Therefore,  the area of the curve is \(\frac{6 \sqrt{3}}{5}\).

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Answer:

35 degrees for first one but i d k the others

Step-by-step explanation:

Answer:

The height of the parallelogram is 12 cm.

Step-by-step explanation:

We are given that a triangle and a parallelogram have the same base and same area.

The sides of the triangle measure 26 cm, 28 cm, and 30 cm.

We are given that the base of the parallelogram is 28 cm, and we want to determine its height.

Find the area of the triangle. Since we are given the three sides, we can consider using Heron's Formula:

\(\displaystyle A = \sqrt{s(s-a)(s-b)(s-c)}\)

Where a, b, and c are the sides and s is half of the perimeter.

The perimeter is:

\(P = (26) + (28) + (30) = 84\)

Hence, s = 42.

Then the area of the triangle is:

\(\displaystyle \begin{aligned} A&= \sqrt{42(42-26)(42-28)(42-30)} \\ &= \sqrt{112896} \\ &= 336\text{ cm}^2 \end{aligned}\)

The area of a parallelogram is given by:

\(\displaystyle A = bh\)

We are given that the base is 28 cm:

\(\displaystyle A = 28 h\)

Its area is equivalent to the area of the given triangle. Hence:

\(\displaystyle 336 = 28h\)

Divide:

\(\displaystyle h = \frac{336}{28} = 12\text{ cm}\)

In conclusion, the height of the parallelogram is 12 cm.

SOLUTION

Given the question in the question tab, the following are the solution steps to prove the theorem

STEP 1: Write the theorem

Theorem: Vertical Angles are congruent

Step 2: Define Vertical Angles

When two lines intersect, four angles are formed. There are two pairs of nonadjacent angles. These pairs are called vertical angles. In the image given below, (∠1, ∠3) and (∠2, ∠4) are two vertical angle pairs.

STEP 3: State the Vertical angles theorem

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

STEP 4: Prove the theorem

The proof is based on straight angles. We already know that angles on a straight line add up to 180°.

The solution to the system of equations is x = 3, y = 3, and z = -8. The solution can be represented as an ordered triple: (3, 3, -8).

The given system of equations is:

x + y + z = -2

2x + 4y + 2z = 2

-x + 6y - 3z = 31

To solve this system, we can use various methods such as substitution, elimination, or matrix methods. Here, we'll use the method of elimination.

First, let's multiply the first equation by 2 to eliminate the x term:

2(x + y + z) = 2(-2)

2x + 2y + 2z = -4

Now, we can subtract the second equation from this new equation:

(2x + 2y + 2z) - (2x + 4y + 2z) = -4 - 2

-2y = -6

y = 3

Substituting the value of y back into the first equation, we have:

x + 3 + z = -2

x + z = -5

Next, let's substitute the values of x = -5 - z and y = 3 into the third equation:

-(-5 - z) + 6(3) - 3z = 31

5 + z + 18 - 3z = 31

-z + 23 = 31

-z = 8

z = -8

Now, substitute the value of z back into the equation x + z = -5:

x - 8 = -5

x = 3

Therefore, the solution to the system of equations is x = 3, y = 3, and z = -8. The solution can be represented as an ordered triple: (3, 3, -8).

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Answer:

m∠QPS = 112

Step-by-step explanation:

Shape PQRS is a cyclic quadrilateral as every vertex of the quadrilateral touches the circumference of the circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

⇒ m∠QPS + m∠QRS = 180°

⇒ m∠QPS + 68° = 180°

⇒ m∠QPS = 180° - 68°

⇒ m∠QPS = 112°

Answer: If it took Luca 20 minutes to walk to the park and his estimate was 25% more than that, we know that the estimate was 20 * 1.25 = 20 + (20 * 0.25) = 20 + 5 = 25 minutes.

So Luca estimated that it would take him 25 minutes to walk to the park.

Step-by-step explanation:

Answer: x=50°

Step-by-step explanation:

For this question, you have to first find out whether you are using Sin, Cos or Tan.

To help you find out which one you are using you can use SOH CAH TOA to help you:

SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.

In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.

So first you would write:

Cos x=59/91

But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:

x=cos-1 59/91

To get the answer you would have to put this in your calculator.

So x=50°

Hope this helps :)

Answer:

3.75 represents how much the flower grows every week.

Step-by-step explanation:

The pages left to read by Billy is more than 48. For given situation inequality is p+27>75

No, they does not mean same. By inequality it means the term may be greater or smaller. Equality refers almost equal.

Inequality is a relationship between two expressions or values that is not equal to each other.An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

p+27>75

p>75-27=48

p>48

The pages left to read by Billy is more than 48.

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The pages left to read by Billy is more than 48. For given situation inequality is p+27>75

Is equality or inequality means same?

No, equality and inequality are not the same. Equality is the state of being equal, especially in status, rights, and opportunities. Inequality is the state of being unequal in status, rights, or opportunities. Equality means that everyone is equal and should be treated the same regardless of their background, gender, race, or any other factor. Inequality, on the other hand, means that there are discrepancies between people based on these factors. Equality promotes fairness, while inequality allows for people to be treated differently and in some cases unfairly. Equality and inequality are not the same and should not be confused. Equality is about treating everyone equally, while inequality is about disparities between people.

Define inequality.

Inequality is a relationship between two expressions or values that is not equal to each other. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

p+27>75
p>75-27=48
p>48
The pages left to read by Billy is more than 48.

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Answer:

10s+40m+61l=net profit

Step-by-step explanation:

subtract the value you pay from the value you charge

Answer:

12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

since the polygon is regular then the exterior angles are congruent

number of sides = 360° ÷ 30 = 12

Answer:

12.

Step-by-step explanation:

Answer:

\(f(n) = \frac{32}{3}(\frac{3}{2})^n\)

Step-by-step explanation:

Given

\(r = \frac{3}{2}\)

\(f(5) = 81\)

Required

The geometric sequence

A geometric sequence is represented as:

\(f(n) = ar^{n-1}\)

Replace n with 5

\(f(5) = ar^{5-1}\)

\(f(5) = ar^4\)

Substitute values for f(5) and r

\(81 = a* (\frac{3}{2})^4\)

Open bracket

\(81 = a* \frac{81}{16}\)

Make a the subject

\(a = \frac{81 * 16}{81}\)

\(a = 16\)

So, the explicit function is:

\(f(n) = ar^{n-1}\)

\(f(n) = 16 * (\frac{3}{2})^{n-1}\)

Split

\(f(n) = 16 * (\frac{3}{2})^n \div (\frac{3}{2})\)

Convert to multiplication

\(f(n) = 16 * (\frac{3}{2})^n * \frac{2}{3}\)

\(f(n) = \frac{32}{3}(\frac{3}{2})^n\)

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

right on edge

Answer:

it is b cuz I took the test and got it right sooooo yaa there you go have fun with the answer

For A and B to be independent, the value of P(B) should be ≈ 1.224

For events A and B to be independent, the probability of their intersection (A ∩ B) must be equal to the product of their individual probabilities (P(A) * P(B)).

In this case, we have the following information:

P(A) = 0.49

P(A ∩ Bc) = 0.4

We need to determine the value of P(B) for which A and B are independent.

We can use the following equation:

P(A ∩ B) = P(A) * P(B)

However, we don't have the direct value of P(A ∩ B), but we have P(A ∩ Bc) and we can use the complement rule to obtain P(A ∩ B):

P(A ∩ B) = 1 - P(A ∩ Bc)

Now, substituting the known values:

1 - P(A ∩ Bc) = P(A) * P(B)

1 - 0.4 = 0.49 * P(B)

0.6 = 0.49 * P(B)

0.6 / 0.49 = P(B)

Approximately, P(B) = 1.224

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Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

Answer: The major axis is the longest diameter of the ellipse (usually denoted by 'a'), going through the center from one end to the other, at the broad part of the ellipse. Whereas the minor axis is the shortest diameter of ellipse (denoted by 'b'), crossing through the center at the narrowest part.

Step-by-step explanation: The major axis is the longest diameter of the ellipse (usually denoted by 'a'), going through the center from one end to the other, at the broad part of the ellipse. Whereas the minor axis is the shortest diameter of ellipse (denoted by 'b'), crossing through the center at the narrowest part.

The equation is in standard form, where A = 1, B = m, and C = 4m - 3

To find the equation of the line in standard form, we first need to determine its slope and then use the point-slope form. Since the line is perpendicular to another line with a known slope, we can use the fact that the product of the slopes of two perpendicular lines is -1. Let's call the known slope m1 and the slope of our line m2. Then, m1 * m2 = -1.

Unfortunately, you have not provided the slope of the line to which our line is perpendicular. Assuming that the given line's slope is 'm', the slope of the line perpendicular to it (our line) would be -1/m.

Now that we have the slope (m2 = -1/m), we can use the point-slope form of the equation, which is y - y1 = m2(x - x1), where (x1, y1) is the point (-3, 4). Plug in the values:

y - 4 = (-1/m)(x + 3)

Now, to convert this to standard form, we want the equation in the form Ax + By = C. Start by multiplying both sides by 'm' to eliminate the fraction:

m(y - 4) = -1(x + 3)

Distribute:

my - 4m = -x - 3

Next, add 'x' and '4m' to both sides:

x + my = 4m - 3

Now, the equation is in standard form, where A = 1, B = m, and C = 4m - 3. Note that without the specific value of 'm', the slope of the line to which our line is perpendicular, the equation cannot be simplified further.

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Given the functions f(x) and f(x)₂, where f(x) increases and f(x)₂ is more rapidly increasing, we can fill by stating that f(x) increases less rapidly than f(x)₂.

When we say that a function increases, it means that as the input value (x) increases, the corresponding output value (f(x)) also increases. In this case, f(x) is increasing.

Now, if we compare f(x) to f(x)₂, and we are given that f(x)₂ is more rapidly increasing, it means that as the input value (x) increases, the corresponding output value (f(x)₂) increases at a faster rate compared to f(x). Therefore, f(x) increases less rapidly than f(x)₂.

To illustrate this, let's consider an example. Suppose we have f(x) = x and f(x)₂ = x². As x increases, the values of f(x) increase linearly, while the values of f(x)₂ increase quadratically. The rate of increase for f(x) is less rapid compared to the rate of increase for f(x)₂.

In conclusion, given the functions f(x) and f(x)₂, if f(x) increases and f(x)₂ increases more rapidly, we can fill in the blank by stating that f(x) increases less rapidly than f(x)₂.

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They ate 2 2/5 pints of ice cream. 1 2/5 + 1/2(2) = 2 2/5.

Answer:

Step-by-step explanation:

11 8/100 +2 25/100 is 13 33/100

Therefore , the solution to this problem of fraction comes out to be as quotient 4-i.

a rational number written in the classic "display" notation form ab or in the in-line notation form a/b, with a standing for the numerator and b for the denominator. A fraction is a piece of the entire.In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction.In the numerator or denominator of a complex fraction is a fraction.

Here,

Given :  22 + 3 i / 5 + 2 i

which can be written as :

=> 22+ 3i / 5+2i

Further dividing 22+ 3i by 5+ 2i

We get remainder as 0

The quotient comes out to  be 4-i

Therefore , the solution to this problem of fraction comes out to be as quotient 4-i.

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Answer:

c

Step-by-step explanation:

This is c because the numbers in c are moving down by -5.

Answer:

I would say b

Step-by-step explanation:

-5 times 5 is -25

-5 times -25 is 125 ect