The solution (x y) to a system of equatiohs is the point where they..?

Answer:

f = 3.74

Step-by-step explanation:

f sin 42° = 2.5

f = 2.5 (sin 42° = 0.669)

sin 41°

= 3.736

= 3.74 (2.d.p.)

The value of f in the given equation is 3.74.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

f sin 42° = 2.5

Dividing both sides of the equation by sin 42°,

f = 2.5 / sin 42°

f = 3.74

Hence the value of f is 3.74.

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Answer:

15:02 or 3:02 pm

Answer:

\(13.35 + 1.27 = 14.62 \\ \\1 hr = 60min \\ 62 min- 60min =2min \\ 14hr + 1hr = 15hr \\ \\it \: ends \: at \: 15.02\)

Answer:−\(5x_{2}\) −5x−2 o

Step-by-step explanation:

When the stock tank is full, 10.5975 cubic meters of water is present.

(assuming that the shape of the stock tank is of a cylinder).

The volume of a cylinder having radius 'r' and height 'h' = \(\pi r^{2} h\)

Given:

Thus, volume of stock tank = \(\pi (1.5)^{2}(1.5) = 3.14\times3.375 = 10.5975cm^{3}\)

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Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\(\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}\)

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\(\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}\)

Step # 1 : Swap the first and second matrix rows,

\(\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}\)

Step # 2 : Cancel leading coefficient in row 2 through \(R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1\),

\(\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}\)

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\(\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}\)

As you can see our solution is x = 15, y = - 11 or (15, - 11).

f(3) = 10, f(0) = 1, and f(-3) = 10. The function f is not one-to-one, as different inputs produce the same output. To find the values of f(3), f(0), and f(-3), we substitute the given values into the function f(n) = n² + 1:

f(3) = 3² + 1 = 9 + 1 = 10,

f(0) = 0² + 1 = 0 + 1 = 1,

f(-3) = (-3)² + 1 = 9 + 1 = 10.

Therefore, f(3) = 10, f(0) = 1, and f(-3) = 10.

To determine if f is a one-to-one function, we need to check if different inputs yield different outputs. In this case, we can see that f(3) = 10 and f(-3) = 10, which means that different inputs (3 and -3) produce the same output (10). Hence, f is not a one-to-one function from the set of integers to the set of integers.

To determine if f is an onto function, we need to check if every output value has a corresponding input value. In this case, since we have found examples where the output value is 10 (f(3) = 10, f(-3) = 10), we can conclude that there are input values (3 and -3) that map to 10. Therefore, f is an onto function from the set of integers to the set of integers.

In summary, f(3) = 10, f(0) = 1, and f(-3) = 10. The function f is not one-to-one, as different inputs produce the same output. However, f is onto, as there exist input values for every possible output value in the set of integers.

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Answer:

529

Step-by-step explanation:

Answer: 1185

Step-by-step explanation: add 328 and 857

Answer:

The first one

Step-by-step explanation:

The length of the tangent line EF is equal to 7 feet which makes the option H correct.

When two tangents intersect at a point on a circle, the lengths of the two tangents are equal. This is a consequence of the fact that the tangent to a circle at a point is perpendicular to the radius passing through that point.

At point E, each tangents have length of 2ft

At point D, each tangents have length of 4ft

At point F, each tangents have length of 5ft

length of EF = 2 ft + 5 ft

length of EF = 7 ft

Therefore, the length of the tangent line EF is equal to 7 feet.

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Answer:

Step-by-step explanation:

8/40

The correct answer is (A). Of the 40 individuals that said that “over” is the correct way to install a roll of toilet paper, 8 were custodians, so the probability is 8/40.

A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.

Simple random sampling is known to be a  types of sampling where there are no laws, rules etc., on how to select the samples.

Note that it is seen easiest way of sampling and as such, A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.

See full question below

A simple random sample from an infinite population is a sample selected such that:

a. each element is selected independently and from the same population

b. each element has a 0.5 probability of being selected

c. each element has a probability of at least 0.5 of being selected

d. the probability of being selected changes

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Answer: 30.0 feet

Step-by-step explanation:

Answer:

30.0 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

The system of inequalities representing the given situation is x + y ≥ 14; 15x + 10y ≥ 125. which is the correct answer would be an option (C)

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the number of hours should he spend on each job if he wants to earn at least $125 each week.

Let the hours of tutoring would be x

And y the hours of babysitting would be y

Given that He can work no more than 14 hours a week.

So inequality as per the above situation is: x + y ≥ 14

Since he charges $15 an hour for tutoring and $10 an hour for babysitting.

If he wants to earn at least $125 each week.

So inequality as per the above situation is: 15x + 10y ≥ 125

Therefore, the correct answer would be option (C).

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Answer:

14

Step-by-step explanation:

126*14 = 1764

square root of 1764 = 42

1.

find the factors of 126

126=9*7*2

9 is already a square number. Multiplying by 7*2 will give the answer

OR

2.

Prime factorize or find the prime factors of 126

a.

first one is 2

square it

you get 4

b.

next one is 3

square it

you get 9

c.

so far you got 36

d.

next one is 7

square it

you get 49

Prime factorize 126 to get, 126 = 2*3*3*7

To make this a perfect square (say N), we need N = (2^2)*(7^2)*(3^2)

Therefore the smallest positive integer that we need to multiply 126 with is 2*7 = 14

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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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Whether the two ratios are 2: 3 and 2: 3 or a proportion

4: 6 and 12: 18

\($\frac{4}{6}$\)   and

\($\frac{12}{18}=\frac{2}{3}$\)   and

2/3

=2: 3 and 2: 3

Yes the given two ratios form a proportion.

The complete question is:

Check whether the given two ratios form a proportion or not: 4: 6  12: 18

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The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

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Answer:

20

Step-by-step explanation:

AP EX Confirmed

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

Answer:

  264.5 yd²

Step-by-step explanation:

You want the area of the figure shown.

The given figure can be decomposed into a triangle and two rectangles.

The area of triangle ABH is ...

  A = 1/2bh

  A = 1/2(23 yd)(17 yd) = 195.5 yd²

The area of rectangle CDIH is ...

  A = LW

  A = (9 yd)(5 yd) = 45 yd²

The area of rectangle EFGI is ...

  A = (6 yd)(4 yd) = 24 yd²

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + rectangle CDIH area + rectangle EFGI area

  total area = 195.5 yd² + 45 yd² + 24 yd²

  total area = 264.5 yd²

The geometry term that each statement represent is option D. Statement 1: postulate; Statement 2: theorem

A statement serves as a  declarative sentence which can be  true or false and it is been referred to as proposition.

A statement can be seen as to be correct when there is approved mathematical arguments and operations hence, statement 1 is a theorem and statement 2 is a postulate.

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The required value of given standard normal random variable is 0.0558.

In probability theory, computation of the amount of typically dispersed irregular factors is an example of the number juggling of arbitrary factors, which can be very complicated in light of the likelihood circulations of the irregular factors included and their connections.

We have,

p(-1.96 ≤ z ≤ -1.4)

p(-1.96 ≤ z ) - p(z ≤ -1.4)

From the Z-table,we get

p(-1.96 ≤ z ≤ -1.4)  = 0.0808 - 0.0250

p(-1.96 ≤ z ≤ -1.4)  = 0.0558

Required value of p(-1.96 ≤ z ≤ -1.4) is 0.0558.

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The value of the function f(-3) in f(x) = -2x² + 3x - 6 is -33

from the question, we have the following parameters that can be used in our computation:

f(x) = -2x² + 3x - 6

To find the value of f(-3). we set x = -3

Using the above as a guide, we have the following equation

f(-3) = -2(-3)² + 3(-3) - 6

Evaluate the expression

f(-3) = -33

Hence, the solution is f(-3) = -33

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Answer: Hii <3

11/10 is your answer i believe

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

hopefully this helps you !

- Matthew ~

Answer:

The value of x = 11/10 or 1.1

Step-by-step explanation:

5x+3/-2 =4

=> 5x -3/2 = 4

=> 5x = 4 + 3/2

=> 5x = (8+3)/2

=> 5x = 11/2

=> x = 11/10 or 1.1

Answer:

There ya go

Step-by-step explanation:

The two quantities to be inversely proportional to each other  when one quantity's value rises relative to another's decline or vice versa

What is Proportionality?

The two sequences of numbers are proportional or directly proportional if the ratio between the corresponding elements of two sequences of numbers, typically experimental data, is constant and is known as the coefficient of proportionality constant.

When one quantity's value increases relative to another's drop or vice versa, they are said to be inversely proportionate. It suggests that the two quantities have different fundamental behaviors. For instance, there is an inverse relationship between time and speed.

As you increase the speed, the time gets shorter. Other names for this type of percentage in this context include reciprocal proportion, inverse proportion, oscillating inversely, and inverse variation. The expression for X and Y, two variables having inverse proportions, is;

x 1/y or x y-1

As a result, when one quantity's value increases in comparison to another's decrease or vice versa, the two values are said to be inversely proportional to one another.

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