Simplify 6 - 2y + (-8y) +5.6.​

Answer:

x ≈ 8.4

Step-by-step explanation:

10

using the cosine ratio in the right triangle

cos64° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{MN}{LN}\) = \(\frac{3.7}{X}\) ( multiply both sides by x )

x × cos64° = 3.7 ( divide both sides by cos64° )

x = \(\frac{3.7}{cos64}\) ≈ 8.4 ( to the nearest tenth )

Answer:

12%

Step-by-step explanation:

The car is sold at a gain because its selling price is greater than cost price

Profit = [(selling price - cost price) / cost price ] x 100

\(\frac{504 - 450}{450}\) x 100

\(\frac{54}{450}\) x 100 = 12%.

Answer:Yes

Step-by-step explanation: It is a right triangle as if you imagine it, you can see that is half of a square, holding a right angle within it.

Answer:

C and A

Step-by-step explanation:

Answer:

How much should I spend on rent and utilities?

We calculate your monthly rent at 25% of your monthly net income (after monthly debt). This allows you to have enough cash left for other expenses and savings. Utilities are in general 2.5% of your monthly net income, and so in this case, you should expect to spend $0 or more per month on utilities.

Step-by-step explanation:

Answer:

the correct answer is e.$400

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

We have,

We need to calculate the initial discount given by the 23% off sale:

Discount

= 0.23 x $425

= $97.75

After the first discount, the mower's price is:

New price

= $425 - $97.75

= $327.25

Then, the store manager discounted it by another $10, so the final price is:

Final price

= $327.25 - $10

= $317.25

The total decrease in price is:

= $425 - $317.25

= $107.75

The percent decrease in the mower's price is:

Percent decrease

= (107.75 / 425) x 100%

= 25.3%

Therefore,

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

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The point (-2, -10) does not lie on the line y = 3x - 3.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of line in the question:

y = 3x - 3

To check if the point (-2, -10) lies on the line y = 3x - 3, we need to substitute the values of x and y into the equation and see if it is true.

y = 3x - 3

Plug in x = -2 and y = -10

-10 = 3(-2) - 3

Simplify

-10 = -6 - 3

-10 = -9

But we know that -10 ≠ -9, hence, this is not a true statement.

Therefore, the point does not lie on the line.

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To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

Solving for x,

Therefore, we can conclude that 12 is 150% of 8

Answer:

A and D is the inverses of each other .

t

If BD≅BC , BD = 5x-26 , BC = 2x+1 and AC = 43 then AB = 24 .

In the question

the figure is given  ,

from the figure we can see that

AC=AB+BC

to find AB , we first need to find BC ,

given that BD ≅ BC

So , BD = BC

So, 5x-26 = 2x + 1

on simplifying , we get

5x - 2x = 26 + 1

3x = 27

x = 9

So , BC = 2(9)+1 = 18+1 = 19

hence , BC = 19

given that AC = 43

Substituting AC = 43 and BC = 19 in AC=AB+BC , we get

43 = AB + 19

AB = 43-19

AB = 24

Therefore , AB = 24 .

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Answer:

the fourth one

Step-by-step explanation:

every 2 hours will be a positive line segment relating to the 7 meters give you the point of 14 every 4 hours

Answer:

the fourth one..

Step-by-step explanation:

Answer:

A.   112 units^2

Step-by-step explanation:

64 + 32 + 12 + 4 = 112

Answer:

x =4.584962501

Step-by-step explanation:

2^x=24

Take the log of each side

log (2^x)= log 24

Using log a^b = b log a

x log 2 = log 24

Divide each side by log 2

x = log 24 /log 2

x =4.584962501

Step-by-step explanation: To solve the equation shown, 2ˣ = 24,

notice that our variable, x, is in the exponent.  

So the first thing we should try to do is get like bases.

Notice however that there is no way to get like bases from 2 and 24.

In this situation, we use logarithms to solve the equation.

So we first take the log of both sides and we have log 2ˣ = log 24.

We can now move the x in the exponent position out in front

of the logarithm so that x is on the same level as the rest of the problem.

So we have x log 2 = log 24.

Now divide both sides by log 2 and we enter this into our calculator.

Make sure to use the parentheses button when

entering this problem into your calculator!

So we get x = 4.584962501.

Answer:

=================

Firstly find the number of students:

The number of students who walks to school and lives more than 2 miles from the school:

Required probability is:

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23

Answer:

A. Sample space: 1, 2, 3, 4, 5, 6

D. P(6) = 1/6

Step-by-step explanation:

Option B and C are not possible because the probability of rolling any particular number on a fair six-sided cube is always 1/6. Option E describes the outcomes of 10 trials, which is not the probability model.

According to the question The rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

Let's denote the distance between the police car and the red car as \($d$\), and let \($t$\) represent time. We are given that the distance between the two cars is decreasing at a rate of 75 feet per second, so we can express this

as \($\frac{dd}{dt} = -75$\) ft/s.

Using the Pythagorean theorem, we can relate the distances \($d$, $x$\), and \($y$\), where \($x$\) is the distance traveled by the red car along the highway and \($y$\) is the distance traveled by the red car along the small road. We have \($x^2 + y^2 = d^2$\).

Differentiating both sides of the equation with respect to time \($t$\), we get \($2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2d\frac{dd}{dt}$\).

Since the police car is located 60 feet on the small road perpendicular to the highway, we have \($x = t$\) and \($y = 60$\) . Substituting these values and the given rate of change of \($d$\) , we can solve for  \($\frac{dx}{dt}$\) :

\($2t\frac{dx}{dt} + 2(60)\frac{dy}{dt} = 2(90)(-75)$\)

\($2t\frac{dx}{dt} = -2(90)(-75) - 2(60)\frac{dy}{dt}$\)

\($2t\frac{dx}{dt} = 2(90)(75) - 2(60)(0)$\)

\($2t\frac{dx}{dt} = 2(90)(75)$\)

\($t\frac{dx}{dt} = (90)(75)$\)

\($\frac{dx}{dt} = \frac{(90)(75)}{t}$\)

Therefore, the rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

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The domain  -∞ ≤ x ≤ +∞ and range is -3≤ x ≤ 1.

All input values shown on the x-axis make up a graph's domain. The y-axis on a graph represents the possible output values, or range.

The domain would be determined by the set of all x-coordinates at all curve points, and the range would be determined by the set of all y-coordinates at all curve points. Both a set and an interval can be used to express each domain and range.

According to the domain is

from -∞ on left side and reaches to +∞ on the right side

So, domain is -∞ ≤ x ≤ +∞

Now, the range of the graph is -3 to 1

So, -3≤ x ≤ 1

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Answer:

C) -212.5

Step-by-step explanation:

I've done this question on a quiz before.

Hope I helped!! :D

a. The percentage of families that are not homeowners is 52%.

b. The percentage of families that have no car or one car is 26%.

When a fraction of a number is multiplied by 100, the result is the percentage of that number. The symbol "%" is used to denote percentages.

(Sum of families with no automobile, one car, two cars, or more ÷ total number of families polled) x 100 is the percentage of families who do not own a house.

(45 + 85 ÷ 250) × 100

130 ÷ 250 = 52%

(Sum of homeowners and non-homeowner families) times 100 is the percentage of families with no or one automobile.

((20 + 45) ÷ 250) × 100

(65 ÷ 250) × 100 = 26%

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True. If the zero conditional mean assumption holds, the coefficients can be given a causal interpretation.

True. If the zero conditional mean assumption, also known as the exogeneity assumption or the assumption of no omitted variables bias, holds in a regression model, then the coefficients can be given a causal interpretation.

The zero conditional mean assumption states that the error term in the regression model has an expected value of zero given the values of the independent variables. This assumption is important for establishing causality because it implies that there is no systematic relationship between the error term and the independent variables.

When this assumption is satisfied, we can interpret the coefficients as representing the causal effect of the independent variables on the dependent variable, holding other factors constant. However, if the zero conditional mean assumption is violated, the coefficients may be biased and cannot be interpreted causally.

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If A = PDP⁻¹ = , Then  \(A^k = (PDP^{-1})^{k}\)  

                   =  \(PDP^{-1} PDP^{-1} .... PDP^{-1}\) = \(PD^{k}P^{-1}\)

since P⁻¹ P = I, the identity matrix.

The term identity matrix is ​​also widely used, but the term identity matrix is ​​now standard. The term identity matrix is ​​ambiguous, as it is also used for any unit of a matrix and ring of all n × n matrices.

In some fields, such as group theory or quantum mechanics, the identity matrix is ​​sometimes shown in bold, or called "id" (short for identity). Less commonly, some math books use U or E for identity matrix, which stands for "identity matrix" and the German word Einheitsmatriks, respectively.

So for A = PDP⁻¹ is given by:

\(\left[\begin{array}{ccc}a&0&\\7(a-b)&b&\ \end{array}\right] = \left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a&0&\\0&b&\ \end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)

we have

\(\left[\begin{array}{ccc}a&0&\\7(a-b)&b&\ \end{array}\right] ^k = \left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a&0&\\0&b&\ \end{array}\right] ^k \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)

                               = \(\left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a^k&0&\\0&b^k&\ \end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)

Then computing the matrix multiplication, we have:

\(\left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a^k&0&\\0&b^k&\ \end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right] = \left[\begin{array}{ccc}a^k&0&\\7a^k&b^k&\\\end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)

                                                              = \(\left[\begin{array}{ccc}a^k&0&\\7a^k-7b^k&b^k&\\\end{array}\right] = A^k\)

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True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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Answer:

x=1

Step-by-step explanation:

you want to simply the equation. Reorder the terms. combine the like terms. solve it. solve it for the variable. move all the terms to the left that contain an x. add 4x to each side. combine the like terms. add -6 to each side. combine the like terms. then decide each side by 2 and simplify the answer and you get x=1

Answer:

The probability is 0.1473

Step-by-step explanation:

Given;

total number of students, n = 50

number at hospital, h = 14

number at pet shelter, p = 15

number at tutoring, t = 8

number at library, L = 13

If three students are chosen at random without replacement, the number of students that will be selected to work in other location is given by;

50 - 13 = 37 students

The probability that the first student volunteers at the library and the other two do not is given by;

P(13 students at library) x P(2 out of the 37 students did not)

\(= (\frac{13}{50})(\frac{37}{49})(\frac{36}{48} )\\\\ = 0.1473\)

Answer:

x = 9.238 y = 4.619

Step-by-step explanation:

I kind of forgot how to do sohcahtoa but we do cosine for one of them. I used a calculator but the lengths seems reasonable so I'm sure they should be right.

The quantity of gasoline that must be left in his tank if he wants to complete the trip without stopping is 8.5 gallons of gasoline.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In this context, an equation that models the situation is given by:

y = mx + c

340 = 28x + 102

28x = 340 - 102

28x = 238

x = 238/28

x = 8.5 gallons of gasoline.

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Answer:

Factors of 99: 1, 3, 9, 11, 33, and 99.

Prime Factorization of 99: 3 × 3 × 11.

Step-by-step explanation: