The cost of Mr. Garcia's car insurance decreased from $80 to $64 per month. What is the percent
decrease of Mr. Garcia's car insurance per month?

Answer:

The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.

Step-by-step explanation:

5/16 = 20/x

5x = 320

x = 64

30/80 = 3/8

10/80 = 1/8

25/80 = 5/16

15/80 = 3/16

3/8*2000 = 750

1/8*2000 = 250

5/16*2000 = 625

3/16*2000 = 325

Answer:

1,416

Step-by-step explanation:

multiply 12 by 116

Step-by-step explanation:

would you still like me to help you with this question

Considering the definition of an algebraic expression, The algebraic expression of the word pharses are:

(a) 4×(-x) + (-5)

(b) 5×(3x + 4)

An algebraic expression is a combination of numbers and letters related to each other by mathematical operations. Usually, the letters represent unknown quantities and are called variables or unknowns.

In this case, you know:

(a) The sum of four times the opposite of a number and - 5

(b) The product of 5 and the sum of 3 times a number and 4​

The algebraic expression of the word pharses are:

(a) 4×(-x) + (-5)

(b) 5×(3x + 4)

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When conducting a survey about choosing vacation destinations, Megan should consider using anonymity, confidentiality, or assurance of privacy in order to get reluctant respondents to provide honest information. This can include ensuring that respondents are not required to provide their names or contact information, or guaranteeing that their responses will not be shared with anyone else without their permission.

Additionally, Megan could assure respondents that their responses will be kept confidential, and that their participation in the survey will not have any negative consequences for them. By taking these steps, Megan can encourage reluctant respondents to feel more comfortable sharing their honest opinions and preferences.

Megan should establish rapport and ensure anonymity in order to get reluctant respondents to provide honest information. By creating a comfortable environment and ensuring the respondents that their information will be kept confidential, Megan can increase their willingness to participate and share honest opinions.

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Answer:
Width = 9 m
Length = 12 m
Area = 108 m²

Step-by-step explanation:
Let, width = x
Length = x + 3
Perimeter = 42 m

Perimeter = 2 (l + w)
42 = 2 (x + 3 + x)
42/2 = 2x + 3
21 - 3 = 2x
18 = 2x
18/2 = x
9 m = x (width)

Length = x + 3 = 9 + 3 = 12 m

Area

= l × w

= 12 × 9

= 108 m²

______

Hope it helps ⚜

The probability that he has exactly 4 hits in his next 7 at bats is 0.12  .

In the question ,

it is given that

the batting average of the baseball player is = 0.315

so the probability of hitting the ball (p) = 0.315

and the probability of not hitting the ball (q) = 1 - 0.315 = 0.685

we have to find the probability of exactly 4 hits in his next 7 at bats

which means the number of trials (n) = 7

number of hits (x) = 4

Substituting the values of p , q, n , x  in the Binomial Probability ,

we get

P(x) = ⁿCₓ*(p)ˣ*(q)ⁿ⁻ˣ

P(x=4) = ⁷C₄ * (0.315)⁴ * (0.685)³

= 35 * (0.315)⁴ * (0.685)³

= 35 * 0.00984 * 0.32141

= 0.1106936

≈ 0.12

Therefore , The probability that he has exactly 4 hits in his next 7 at bats is 0.12  .

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Answer:

Yes it is proportional

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, it is proportional because x and y are going in the same direction, when y increases, x increases.

A proportional graph has x and y values that change in the same way. As long as they both increase it is proportional.

When x increases, y increases. When x decreases, y decreases.

Hope this helps!

The integral of the function over the given interval should be equal to 70.

To evaluate the definite integral ∫(1 to 36) √(7/x) dx, we can simplify the integrand and then use the power rule for integration.

First, let's simplify the integrand:

√(7/x) = 7\(x^{-1/2}\)

Now we can integrate using the power rule:

∫(1 to 36) 7\(x^{-1/2}\) dx = 7 * (\(x^{1/2}\)) / (1/2) |(1 to 36) = 14 * (\(x^{1/2}\)) |(1 to 36)

Evaluating the definite integral:

∫(1 to 36) √(7/x) dx = 14 * (\(36^{1/2} - 1^{1/2}\)) = 14 * (6 - 1) = 14 * 5 = 70

Using a graphing utility to verify the result, we can plot the function f(x) = √(7/x) and find the area under the curve between x = 1 and x = 36. The integral of the function over the given interval should be equal to 70.

The question is:

Evaluate the definite integral. Use a graphing utility to verify your results.  ∫(1 to 36) √(7/x) dx

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Answer:

Step-by-step explanation:

The constant of proportionality in table four is -1/3

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

In each of the table, we can check if proportionality exists.

In the first table, there's no proportionality.

In the second table, there's no proportionality

In the third table, there's no proportionality

In the fourth table, proportionality exist here which we can find the constant of proportionality.

When x = 6, y = -2

y = ax

a = constant of proportionality

-2 = a(6)

a = -1/3

The constant of proportionality is -1/3

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If the null hypothesis is rejected when it is actually true, a Type I error would be committed (A).

In hypothesis testing, there are two types of errors: Type I and Type II. A Type I error occurs when the null hypothesis is rejected even though it is true, leading to a false positive conclusion.

On the other hand, a Type II error occurs when the null hypothesis is not rejected when it is actually false, leading to a false negative conclusion. In this scenario, since the null hypothesis is true and if it were to be rejected, the error committed would be a Type I error (A).

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Answer:

7/2 or 3 1/2

Step-by-step explanation:

7/8*4/1=28/8

Simplify= 7/2 or as a mixed fraction = 3 1/2

Hope this helps

Can I have the brainliest if I am right?

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:5/6, 2/3, 1/4, 1/2

Step-by-step explanation:

The strategy for generating a hypothesis that does not fit among the options provided is option C) Thinking of things unilaterally.

Introspection, finding exceptions to the rule, and thinking about variables in terms of amount or degrees are all valid strategies for generating hypotheses.

Introspection involves reflecting on personal experiences, thoughts, and observations to generate hypotheses about a particular phenomenon or question.

Finding exceptions to the rule involves identifying instances that do not conform to the expected pattern or generalization, which can lead to the formulation of alternative hypotheses.

Thinking about variables in terms of amount or degrees involves considering how varying levels or quantities of a particular variable may impact the outcome or relationship being studied, which can help generate hypotheses about the nature and direction of the relationship.

On the other hand, "thinking of things unilaterally" is not a recognized strategy for generating hypotheses. The term "unilaterally" typically refers to actions or decisions made by one side or party without considering others.

Hypothesis generation involves considering multiple perspectives, factors, and possibilities, rather than approaching it unilaterally.The correct answer is option c.

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Answer:

X=0

Step-by-step explanation:

Answer:

There are 1,680 Girls

Step-by-step explanation:

1 ratio = 240

5 ratio = 1,200

7 ratio = 1,680

Therefore, 5:7 = 1,200 : 1,680

The matrix P represents the projection onto the line x₁ = -2x₂. The matrix Q represents the projection onto the coordinate axis x₁. And the matrix P is a 2x2 matrix, and the matrix Q is also a 2x2 matrix.

To find the matrix of the orthogonal projection in ℝ² onto the line x₁ = -2x₂, we can follow these steps:

Start by finding a vector that represents the line x₁ = -2x₂. Let's call this vector v. We can choose a point on the line, such as (1, -1), and use it to define the vector v as v = (1, -1).

Normalize the vector v by dividing it by its magnitude to obtain a unit vector u in the direction of the line. The magnitude of v is √(1² + (-1)²) = √2. Therefore, u = (1/√2, -1/√2).

Construct the matrix P by taking the outer product of the unit vector u with itself: P = uuᵀ.

The matrix P represents the projection onto the line x₁ = -2x₂.

Now let's find the matrix of the projection onto the coordinate axis x₁.

The coordinate axis x₁ is represented by the vector (1, 0).

Normalize the vector (1, 0) to obtain a unit vector in the direction of the x₁ axis. The magnitude of (1, 0) is 1, so the unit vector in the x₁ direction is (1/1, 0) = (1, 0).

Construct the matrix Q by taking the outer product of the unit vector with itself: Q = qqᵀ.

The matrix Q represents the projection onto the coordinate axis x₁.

To summarize:

The matrix P represents the projection onto the line x₁ = -2x₂.

The matrix Q represents the projection onto the coordinate axis x₁.

The matrix P is a 2x2 matrix, and the matrix Q is also a 2x2 matrix.

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Answer:2-3x+1(-9)

Step-by-step explanation:

-9(2-3x+1) can also be written as 2-3x+1(-9)

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

18 + 5n = 2n

Step-by-step explanation:

The sum of 18 and 5n is the same as 2n:

18 + 5n = 2n

if you wish to solve this for n, combine the n terms:  3n = -18 and n = -6

Answer:

(-6,0)

Step-by-step explanation:

πr² an example of a model.

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science).

Here, the area of a circle is calculated by the use of formula πr² where π is a constant 3.14 and r is a variable. Therefore this formula is used to find the area.

Thus, πr² an example of a model.

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Answer:

c. the answer is c ........

Answer:

ccccccc

Step-by-step explanation:

tissydydydydtdhfyfucuc