If x2 = 20, what is the value of x?

∠A and ∠B are complementary angles .

∠A = 71°

Sum of two angles that are complementary to each other will always be equal to 90° .

Which means :-

\(\longmapsto71° +∠ B = 90°\)

\(\longmapsto \: ∠B = 90 - 71\)

\(\color{olive}\longmapsto \: \color{hotpink}∠B = 19°\)

Therefore , the measure of ∠B = 19° .

Answer: mZB is 19

Step-by-step explanation:

complementary is equal to 90 degrees.

so 90-71 is 19.

The speed of the cyclist in still air is 13 mph

Let the speed of the cyclist in still air be x mph

when she rides with the wind her speed = (x + 3) mph

when she rides against the wind her speed = (x - 3) mph.

Mathematically we can represent the problem as:

16 / (x + 3) = 10 / (x - 3)

cross multiplying and simplifying

16 (x - 3) = 10 (x + 3)

16x - 48 = 10x + 30

6x = 78

x = 13

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The common factor that is missing from both sets of parentheses is:

\(6x^2+11,\\\)

A polynomial that divides evenly and completely into another polynomial is said to be a factor. Finding all of a polynomial's factors, which are multiplied to create the original polynomial, is known as factoring. A component that appears in every term of the polynomial is known as a common factor.

We are given a polynomial of degree 3 as:

\(24x^3-54x^2+44x-99,\)

Now we have to factor the given polynomial using grouping.

We proceed in the following steps:

\(24x^3-54x^2+44x-99\\\\24x^3+44x-54x^2-99\\\\4x(6x^2+11)-9(6x^2+11)\)

( Since we take out the common terms in each of the following groups and obtain a common factor in both the groupings)

Hence, the common factor that is missing is:

\(6x^2+11\),

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Answer:c

Step-by-step explanation:just did the test

Answer

4.5 centimeters2

Step-by-step explanation:

Answer: 4.5

Step-by-step explanation: To find area, you must multiply the length and width. 3 x 1.5 = 4.5  Hope this helps!

Answer:

It’s the first one

Step-by-step explanation:

I

Given

Find

Domain of the function

Explanation

Domain of the function is the set of all possible values of x which will given the output value y.

so , domain of the function , f(x) =

and

as we know that the domain of the function is all real numbers except where the function is undefined.

in this case , there is no real number which makes the function undefined.

so , domain of g(x) is all values of x

so ,

Final Answer

Therefore , the domain of f(x) anf g(x) are

Answer:

#2: y-intercept=-2

Bottom left graph: Slope:4/2

y-intercept:-2

Equation: y=4/2x-2

Bottom right graph: Slope:-2

y-intercept:8

Equation: y=-2x+8

Answer:

C or B of are the answer choices left hope this helps

The coordinates of end point B are (21, 2)

Midpoint refers to a point that is in the middle of the line joining two points. The two reference points are the endpoints of a line, and the midpoint is lying in between the two points. The midpoint divides the line joining these two points into two equal halves

x coordinate of point M = x coordinate of point A + x coordinate of B / 2

which is

12 = 3 + x- coordinate / 2

by cross multiplying

3 + x coordinate B = 24

x coordinate B = 24 -2

x - coordinate B = 21

y-coordinate M = y-coordinate A + y coordinate B /2

-3 = -8 + y-coordinate B / 2

-8 + y coordinate = -6

y-coordinate = 8 - 6

y-coordinate = 2

In conclusion, the coordinates of point B are ( 21, 2)

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Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x) = log_b(x),\) where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x) = log_b(x)\) is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x)=log_b(x)\). where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x)=log_b(x)\). is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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Answer:

I would subtract.

Step-by-step explanation:

You need to do the opposite of what the sign says when doing equations.

Answer:

hi

Step-by-step explanation:

Answer:

Quadrant I

Step-by-step explanation:

the order of the quadrants is counter clock wise:

top right = Quadrant I

top left = Quadrant II

bottom left = Quadrant III

bottom right = Quadrant IIII

if the line segment starts in Quadrant II, and passes through the origin (0,0) the only possible Quadrant point S could be in is Quadrant I

Answer:

sumbody help this man plz

So on solving the provided question we can say  that 3x³ is a polynomial as it have exponential power

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

here,

3x³ is a polynomial

as it have exponential power

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\(b^3b^3=b^{3+3}=b^{\boxed{6}}\).

Hope this helps.

Answer:

x = 2

Step-by-step explanation:

1.) Subtract 8 from both sides.

x + 8 = 10

- 8 -8

2.) Simplify 10 - 8 to 2

x + 8 = 10

-8 -8

——————

x = 2

If the given angle is θ, then the related angles (remaining family members) from 0 to 2π are:

For a quadrantal angle (0, π/2, π, 3π/2), there are no related angles as they lie on the x-axis or y-axis.

For a positive acute angle (0 < θ < π/2), the related angles are:

The cofunction angle: π/2 - θ

The complementary angle: π/2 + θ

The supplement angle: π - θ

The coterminal angle: θ + 2πn, where n is an integer

For a negative acute angle (-π/2 < θ < 0), the related angles are:

The cofunction angle: π/2 + |θ|

The complementary angle: π/2 - |θ|

The supplement angle: π + θ

The coterminal angle: θ + 2πn, where n is an integer

For a positive obtuse angle (π/2 < θ < π), the related angles are:

The cofunction angle: θ - π/2

The complementary angle: π - θ

The supplement angle: π + θ

The coterminal angle: θ + 2πn, where n is an integer

For a negative obtuse angle (-π < θ < -π/2), the related angles are:

The cofunction angle: |θ| - π/2

The complementary angle: π - |θ|

The supplement angle: θ + π

The coterminal angle: θ + 2πn, where n is an integer

For a positive angle on the x-axis (θ = 0), the related angles are:

The coterminal angles: θ + 2πn, where n is an integer

For a negative angle on the x-axis (θ = π), the related angles are:

The coterminal angles: θ + 2πn, where n is an integer

For a positive angle on the y-axis (θ = π/2), the related angles are:

The coterminal angles: θ + 2πn, where n is an integer

For a negative angle on the y-axis (θ = -π/2), the related angles are:

The coterminal angles: θ + 2πn, where n is an integer

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Step-by-step explanation:

\(13=8+4+1=2^3+2^2+2^0=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold1\cdot2^0\\\\13_{10}=1101_2\)

Answer:

♡ hola, madi here ♡

- 1101 is the answer.

hope your thanksgiving is amazing.

know your loved & make sure to

hug a loved one today.ʕ ꈍᴥꈍʔ

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

The surface area of a square pyramid with base area of 16 cm² and lateral faces have a slant height of 12 cm is 112 cm²

surface area = A + 1 / 2 ps

where

Therefore,

A = 16 cm²

p = 4(4) = 16 cm

s = 12 cm

Hence,

surface area = 16 + 1 / 2 × 16 × 12

surface area = 16 + 96

surface area = 112 cm²

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Answer:

112m

Step-by-step explanation:

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer: 11 + q = -15

Step-by-step explanation:

Answer: 11 + q = -15

Answer:

12x = cost

Step-by-step explanation:

12$ per ticket, with x tickets

you multiply the cost of a ticket with the number of tickets he will buy

There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].

Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.

Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.

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Answer:

Qualitative

Step-by-step explanation:

When data is quantitative, it is describing a numerical amount. For example, if the data was "the amount of houses on the street that have a garage," then the data would be quantitative since it is representing an amount (the amount of houses.) For data to be qualitative, it should be representing a quality of some kind. For example, a qualitative sample of data could be, "scents of perfumes in a store," or, "flavors of ice cream in a diner." Since our initial data is representing a quality and not a numerical amount, the data is qualitative!

Answer:

A

Step-by-step explanation:

To find the perpendicular line you need to find the negative reciprocal of 4/7x which is -7/4x, so A is the correct answer

I hope this helps!!

Answer:

S = 5y + 4

Step-by-step explanation:

f is Sara's father, y is Sara, b is Sara's brother and S is sum

3y = f

b = y + 4

S = f + y + b

  = 3y + y + y + 4

  = 5y + 4

Hope this helps!

Answer:

\(5y+4\)

Step-by-step explanation:

What we know:

- 3 × \(y\) is equal to Sara's father's age

- \(y\) + 4 is equal to Sara's brother's age

- \(y\) is equal to Sara's age

Sum of their ages = father's age + Sara's age + brother's age

Sum of their ages = \(3y+y+(y+4)\)

Sum of their ages = \(5y+4\)

I hope this helps!

Answer:

Hi

Please mark brainliest ❣️

Step-by-step explanation:

Since the ballroom has a rectangular shape we use the formula for perimeter of a rectangle

P = 2(L×B) or L × B ×L×B

Therefore our correct option is D

The perimeter of the ballroom is 180 feet.

The correct formula to determine the perimeter of the ballroom is option B,

p = 2 x 60 + 2 × 30.

What is the perimeter?

The perimeter is defined as the total distance around the edge of a two-dimensional figure.

It can be calculated by adding all the sides of the figure or by multiplying the length of one side by the number of sides that make up the figure.

How to calculate the perimeter of the ballroom?

Given that the length of the ballroom = 60 feet and the width of the ballroom = 30 feet.

We need to find the perimeter of the ballroom.

To calculate the perimeter of the ballroom we need to add the length of all four sides of the ballroom.

So, the correct formula to determine the perimeter of the ballroom is:

p = 2 x 60 + 2 × 30

p = 120 + 60

p = 180 feet

Therefore, the perimeter of the ballroom is 180 feet.

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