Which equation is equivalent to 15x - 3 = 25

The ladder touches the wall at a height of approximately 9.2 feet above the ground.

We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, which is the ladder in this case) is equal to the sum of the squares of the lengths of the other two sides (the distance from the wall and the height of the ladder on the wall).

Let's call the distance from the wall "x" and the height of the ladder on the wall "h". Then we have:

\(x^2 + h^2 = 14^2\)

We also know that the bottom of the ladder is placed 3 feet from the wall, so we have:

x + 3 = 14

Solving for x, we get:

x = 11

Substituting this value into the first equation, we get:

\(11^2 + h^2 = 14^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(14^2 - 11^2)}\)

h ≈ 9.2

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If angle b is five times the size of angle c, the equation can be used to find the measure of angle is 5x+x=90°.

because complementary angles complete each other to 90 degrees.

These angles b and c add up to 90° because they are complementary.

Let's say angle C is named x.

angle b is five times the size of angle c, this can be written: 5x

Complementary angles add up 90°, so angle B add angle C equal 90°

the equation to find the measure of angle C is 5x+x = 90°.

Types of angles are one of the materials in mathematics that you always encounter at every level of education. Learning about angles is very important, because angles are always present in everyday life and need to be identified.

An angle is a shape formed by two rays having an endpoint at one point. In angles, terms such as the leg of the angle, vertex, and area of the angle are also found.

The legs of the angle are the lines forming the angle. The vertex is the point where the two legs of the angle intersect, and the area of the angle is the area bounded by the two legs of the angle.

Your question is incomplete but most probably your full question was:

Only Interaction Angle B and angle C are complementary: If angle B is five times the size of angle C which equation can be used to find the measure of angle C?

5x+x=180

5x = 180

5x+x=9

5x = 90

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The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

To see the Polar form and Rectangular form of quotient as a complex number.

Polar numbers can be written in two different forms: rectangular and polar. Rectangular complex numbers are given by a + bi, where a represents the real part of the complex number and b represents the imaginary part of the complex number. Polar complex numbers are given by its absolute value,

r = \(\sqrt{x^{2} +y^2}\) and the argument, θ, which can then be determined through the following relations:

\(z=re^i^\theta\)

If the complex numbers are in polar form, then the quotient is given by:

\(\frac{z_1}{z_2}=\frac{r_1e^i^\theta_1}{r_2e^i^\theta_2}\)  \(= \frac{r_1}{r_2}e^i^(^\theta_1^-^\theta_2^)\)

If the complex numbers are in rectangular form, then you will have to use the complex conjugate to remove the complex number in the denominator:

\(\frac{a_1+b_1i}{a_2+b_2i}\) \(=\frac{(a_1+b_1i)(a_2-b_2i)}{(a_2+b_2i)(a_2-b_2i)}\).

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Answer:

Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:

C = 5 + 0.25(h - 2)

The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.

To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:

C = 5 + 0.25(10 - 2)

C = 5 + 0.25(8)

C = 5 + 2

C = $7.00

Therefore, you would have to pay $7.00 to park for 10 hours.

To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:

10 = 5 + 0.25(h - 2)

0.25(h - 2) = 10 - 5

0.25(h - 2) = 5

h - 2 = 5 / 0.25

h - 2 = 20

h = 20 + 2

h = 22

Therefore, $10 will buy you 22 hours of parking

Answer:

(8)

(9)

(10)

(11)

(12)

If Cara spends $2,000 a month, then she spends on $250 clothing

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

Clothing = 1/8

Total amount = $2000

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

Clothing = 1/8 of total amount

So, we have

Clothing = 1/8 of 2000

Evaluate the product

Clothing = 250

Hence, she spends on $250 clothing

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Question

Cara spent 1/3 of his monthly salary on rent, 1/4 on food, 1/6 on travelling and 1/8 on clothes.

If Cara spends $2,000 a month, how much does she spend on clothing?

Answer:

It depends on how many colors there are like if there are 7 different colors, the possibility would be 100/7

The dimension of the rectangle that has the maximum area is 7.5 by 7.5 feet.

Let the length of the rectangular field be x and the width be y

Now the perimeter is 30

Therefore 2(x + y)=30

or, x + y = 15

or, y = 15 - x

Area of the rectangle = xy

Now we substitute the value of y

area = x ( 15 - x ) = 15x - x²

Now for the maximum area we have to differentiate the area function.

f(x) = 15x - x²

f'(x) = 15-2x

Now the differentiated function is equated to 0 to get the value of x for which the area is  maximum.

15-2x = 0

or, x =7.5

therefore y -= 15 - x = 1 5 - 7.5 = 7.5 feet.

Hence for the area to be maximum the dimension of the field should be 7.5feet by 7.5 feet .

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Answer:

Step-by-step explanation:

f(-3) = -2/3(-3) + 2

             2 + 2 = 4

The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

A relation is a set of ordered pairs.

The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.

So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}

The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.

So, the matrix of r on x can be written as:

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

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So the simplified expression of the expression given in the question is: 1.17 - 3.99a

To simplify the expression, we can combine the like terms, which are terms with the same variable and exponent. Starting with the first two terms: 1.17 - 0.07a. The next two terms are the opposite of each other, so we can add them: 1.17 - 0.07a + (-3.92a) = 1.17 - 0.07a - 3.92a. Finally, we can simplify the expression by combining the like terms, which are terms with the same variable: 1.17 - 0.07a - 3.92a = 1.17 - (0.07 + 3.92)a = 1.17 - 3.99a. So the simplified expression is: 1.17 - 3.99a

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Complete Question

Combine like terms to simplify the expression:

1. 17 − 0. 07 + ( − 3. 92 )  1. 17−0. 07a+(−3. 92a)

The correct set of hypotheses is: b. H0: μ ≤ 10.0% Ha: μ > 10.0%.

In hypothesis testing, the null hypothesis (H0) represents the statement that is being tested or assumed to be true, while the alternative hypothesis (Ha) represents the statement that contradicts or challenges the null hypothesis. In this case, the null hypothesis states that the average yearly rate of return on the stocks is less than or equal to 10.0%, and the alternative hypothesis states that the average yearly rate of return on the stocks is greater than 10.0%.

By formulating the hypotheses in this way, you are testing whether there is sufficient evidence to support the claim made by your investment executive that the average yearly rate of return on the stocks she recommends is at least 10.0%.

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Answer:

b. 75

Step-by-step explanation:

Calculation for how many people must attend the festival

Using this formula

Numbers of people to attend the festival=Expenses/Charges

Let plug in the formula

Numbers of people to attend the festival=($115+$110)/$3

Numbers of people to attend the festival=$225/$3

Numbers of people to attend the festival= 75 people

Therefore the numbers of people that must attend the festival is 75

Answer:

Step-by-step explanation:

Answer:

22 you cancel from each side which will leave you with the middle number

Answer:

41

Step-by-step explanation:

The two shapes are a mirror of each other.

Answer:

41

Step-by-step explanation:

anything that is reflected does not change size so the length stays the same

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Answer:

3x+12 if x>-4

0 if x=-4

-3x-12 if x<-4

Answer:

A.  m∠A = 45°

Step-by-step explanation:

Vertical angle theorem:  opposite angles are congruent

⇒ 3x = x + 30

⇒ 2x = 30

⇒ x = 15

As m∠A = 3x

⇒ m∠A = 3 × 15 = 45°

Opposite angles are equal

\(\\ \rm{:}\dashrightarrow 3x=x+30\)

\(\\ \rm{:}\dashrightarrow 2x=30\)

\(\\ \rm{:}\dashrightarrow x=15\)

So

Answer:

I x I > 6

Step-by-step explanation:

Answer:

A graph that has a rate of change of zero, would be a graph that the line stays straight.

This is because, if there is a rate of change of zero, then nothing is happening meaning that the line remains at a constant rate. (Meaning it doesnt move up or down)

The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².

To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:

Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.

So, the integral for the area of the region is given by:

A = ∫a b [x₂(y) - x₁(y)] dy

Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10

So,

A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy

=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy

=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2

=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]

=> A = 174/3

Hence, the area of the region enclosed by the curves is 174/3 units².

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Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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By identifying the intersection between the graphs, we conclude that the solution is (-3, 4).

To graphically solve a system of equations, we need to graph the equations of the system in the same coordinate axis, and then find the intersection points between the graphs.

Here we already have the equations graphed, so we only should find the points of intersection.

We can see two red lines, we can see that the lines intersect at the point (-3, 4). This means that the solution of the system of equations is the point (-3, 4).

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Answer:

10.6

Step-by-step explanation:

To find the difference between 2 numbers, subtract the bigger one from the smaller one. In this case, 8.4-(-2.2) = 8.4 + 2.2 = 10.6

Answer:

Step-by-step explanation:

Given,

\( {( {8}^{7} )}^{2} = {2}^{y} \)

\( = > {8}^{7 \times 2} = {2}^{y} \)

\( = > {8}^{14} = {2}^{y} \)

Since,

\(8 =2 \times 2 \times 2 = {2}^{3} \)

Hence,

\( = > {( {2}^{3} )}^{14} = {2}^{y} \)

\( = > {2}^{3 \times 14} = {2}^{y} \)

\( = > {2}^{42} = {2}^{y} \)

Since,

The bases are same so the exponents will also be same

Therefore,

=> y = 42 (Ans)

The value of a 45 degree angle in an isosceles right angled triangle is: 1

In an isosceles right angled triangle, where AB = BC = x, the sides AB and BC form the hypotenuse, and the remaining side AC forms one of the legs.

For the 45 degree angle (let's call it angle A), the sine function can be used to find the ratio of the opposite side to the hypotenuse:

Since the triangle is isosceles, AC = AB = x, therefore:

So the sine of a 45 degree angle in an isosceles right angled triangle is 1.

Note: The cosine and tangent of 45 degrees can also be found using the other trigonometric ratios, but since only sine was requested, I only provided the sine value.

Complete Question:

"ABC is an isosceles right angled triangle. Assuming AB = BC = x, find the value of each of the following trigonometric ratios:

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