Simplify these expressions
a) 2a + 5a

The answer to the above question is B. Multiply the first equation by -2 and add the second equation.

A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."

Given,

\(2x - 2y = 24\\4x + 7y=-40\-4x +4y = -96\\4x+7y = -40\\11y = -136\\y = -136/11\)

The answer to the above question is B. Multiply the first equation by -2 and add the second equation.

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Step-by-step explanation:

HELP HAS ARRIVED !!!!

To find the possible code numbers, we can start by using the clues one by one and narrowing down the possibilities:

- The number is between 8,500 and 8,800, so we know the first digit is 8 and the second digit is either 5, 6, 7, or 8.

- When multiplied by 8, the result is a whole number, which means the number must be divisible by 8. The only possibilities in our range are 8,512, 8,528, 8,544, 8,560, 8,576, 8,592, 8,608, 8,624, 8,640, 8,656, 8,672, 8,688, 8,704, 8,720, 8,736, 8,752, 8,768, 8,784, and 8,800.

- The sum of all digits in the number is 26, which means we can eliminate some possibilities. For example, 8,512 has a digit sum of 16, so it's not a valid option. Similarly, 8,800 has a digit sum of 16, so it's also not a valid option. We can eliminate other possibilities that don't add up to 26 as well.

- The digit in the hundreds place is ¾ the digit in the thousands place. This narrows down the possibilities even further. The thousands digit must be divisible by 4 and greater than or equal to 2. That means the thousands digit can only be 2, 4, 6, or 8. We can use this information to eliminate some more possibilities.

- The digit in the hundredths place is 200% of the digit in the tenths place. This means the tenths digit cannot be 0 or 5, because otherwise the hundredths digit would be 0. That leaves us with the possibilities 1, 2, 3, 4, 6, 7, 8, and 9.

- There are no zeros in the decimal places, so we can eliminate 8,560 and 8,640.

- Putting all of this information together, we can narrow down the possibilities to 8,576, 8,608, 8,672, and 8,688.

To make it so there is only one possible code number, we can add one more clue:

- The number is not divisible by 9.

This eliminates 8,640 and 8,688, leaving us with the only possible code number:

Code number: 8,576

We used all of the given clues to eliminate possibilities and narrow down the valid options. Adding the additional clue that the number is not divisible by 9 made it so there was only one possible code number.

True. The father tried to expression how proud he was of the kids.

True, this sentence does include an infinitive. An infinitive is a verb form that is typically preceded by the word "to" and it is not conjugated. In this sentence, the infinitive is "to express". This sentence is referring to how the father was trying to express how proud he was of his children. This is a good example of an infinitive being used to express an action, in this case, the action of expressing. Infinitives can also be used to express purpose, such as "to learn" or "to play." Infinitives are used in all types of sentences, from simple statements to complex questions. Infinitives are an important part of language and can be used to express a variety of different meanings.

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Answer:

A. x = 4

Step-by-step explanation:

4x = 24 - 8

4x = 16

x = 4

Based on the information you provided, R(t) is a differentiable function that represents the rate at which people leave a restaurant in people per hour after 6 hours since opening. In other words, R(t) describes the speed at which customers are leaving the restaurant as time goes by.

It's important to note that R(t) is only a function of time t, and not a function of the number of people currently in the restaurant or any other variables. This means that if the restaurant is empty at 6 hours since opening, R(t) will give you the rate at which people leave the restaurant from that point forward, regardless of whether there are any customers in the restaurant or not.

In terms of the restaurant's function, R(t) is a key component in understanding how many customers the restaurant is likely to have at any given time. By subtracting R(t) from the restaurant's initial capacity (i.e. the number of seats or tables available), you can estimate how many customers are likely to be in the restaurant at any given time.

Overall, R(t) is a powerful tool for understanding the behavior of customers in a restaurant and can help the restaurant make informed decisions about staffing, marketing, and other aspects of their business.

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Answer: 3/4x - 1/2x -4=12

               1/4x - 4 = 12 x = 64

Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

Answer:

C) The sum of the measures of the interior angles of a triangle is 180°.

Step-by-step explanation:

I got it correct on edge

The fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two triangles shown in the picture.

Angle B = 46 degrees

Angle C = 45 degrees

Angle A = 180 - 45 - 46 = 89 degrees

Angle R = 46 degrees

Angle S = 180 - 46 - 89 = 45 degrees

Angle T = 89 degrees

Thus, the fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

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Answer: C

Step-by-step explanation:

The ratio for the length of grey to red to bule is 4:9:3.

Ratio is the relation between two numbers which shows how much bigger one quantity than another. Ratio show how many times one contain show the other one.

According to the question

The given data are -

Grey = 0.8m

Red = 1.8 m

Bule = 0.6 m

By solving these we can get -

=0.8:1.8:0.6

=0.8×10:1.8×10: 0.6×10

=8:18:6

By simplifying it we can get

4:9:3.

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Answer

c

Step-by-step explanation:

It is not d because of the way that it is formed

ANSWER

These three side lenghts form a right triangle

EXPLANATION

If the triangle is a right triangle, the side lenghts must satisfy the Pythagorean theorem. In a right triangle, the hypotenuse is always the longest side. Therefore, if it is a right triangle, the sum of the squares of the shorter sides must be equal to the square of the longest side:

Therefore, this is a right triangle.

Answer:

y = -5/3x - 6/5

Step-by-step explanation:

Brainliest pls

For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

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So the equation of the normal line to the Surface z=6x^3y^4 at the point (-1,-2,-96) is:

x = -1 + 324t

y = -2 - 216t

z = -96 - t

To find the equation of the normal line to the surface z=6x^3y^4 at the point (-1,-2,-96), we need to find the gradient of the surface at that point, which is a vector perpendicular to the tangent plane at that point.

The gradient vector of the surface f(x,y,z)=6x^3y^4 is:

∇f = ( ∂f/∂x, ∂f/∂y, ∂f/∂z )

= ( 18x^2y^4, 24x^3y^3, -1 )

Substituting the coordinates of the given point (-1,-2,-96) into the gradient vector, we get:

∇f(-1,-2,-96) = ( 324, -216, -1 )

So the gradient vector at the given point is (324,-216,-1).

The equation of the normal line passing through the point (-1,-2,-96) can be written in vector form as:

r(t) = r0 + tN

where r0 is the position vector of the given point (-1,-2,-96), N is the normal vector to the surface at that point, and t is a scalar parameter.

Substituting the values, we get:

r(t) = <-1,-2,-96> + t<324,-216,-1>

= <-1+324t, -2-216t, -96-t>

So the equation of the normal line to the surface z=6x^3y^4 at the point (-1,-2,-96) is:

x = -1 + 324t

y = -2 - 216t

z = -96 - t

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Hence, x > 14.5 is the answer to the contradiction 12 + 6x > 99. This suggests that the inequality will be satisfied by any x value that is bigger than 14.5

"Inequality" in mathematics refers to the relationship between two reactions and quantities that is not the same as one another. As a result, inequality results from an imbalance.

You can use algebra to isolate one variable x solely on a single side of the inequality and utilize that information to solve the inequality 12 + 6x > 99.

The stages to resolving the inequality are as follows:

First, take 12 away both from sides of the inequality:

12 + 6x - 12 > 99 - 12

Simplify:

6x > 87

Then, to identify the variable x, split both side of the equality by 6:

6x/6 > 87/6

Simplify:

x > 14.5

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The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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The order of the sides of ΔFGH from least to greatest is GH, FG, and FH.

First, solve for the value of x.

The sum of the interior angles of a triangle is 180°. Hence,

m∠F + m∠G + m∠H = 180°

(5x + 6) + (12x - 4) + (4x + 31) = 180°

21x = 180° - 33°

21x = 147°

x = 7°

Determine the measure of each angle.

m∠F = (5x + 6) =  5(7) + 6 = 41°

m∠G = (12x - 4) =  12(7) - 4 = 80°

m∠H = (4x + 31) = 4(7) + 31 = 59°

Note that the side of a triangle corresponds to its opposite angle, such that m∠F, m∠G, and m∠H corresponds to side GH, FH, and FG, respectively.  The longest side of a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

m∠F < m∠H < m∠G

GH < FG < FH

Hence, the sides of AFGH in order from least to greatest is GH, FG, and FH.

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**Disclaimer** Hi there! I assumed the question to be asking for a line expression. The following answer will be according to this understanding. Please let me know if I am incorrect and I will modify my answer correspondingly

Answer: \(\Large\boxed{y-5=-\dfrac{3}{2} (x+4)}\)

Step-by-step explanation:

Given information

\(\text{Pass~through~point}=(x_1,~y_1)=(-4,~5)\)

\(\text{Parallel~to}:y=-\dfrac{3}{2} x-5\)

Given equation form

Point-slope form is the most efficient way to write the expression

\(\text{Point-slope form}:y-y_1=m(x-x_1)\)

\((x_1,~y_1)=\text{A point that the line passes through}\)

\(m=\text{Slope}\)

Determine the slope

\(\text{Since the line is parallel to } y=-\dfrac{3}{2} x-5 \text{ , by the property of parallel}\\\text{lines, the slope of the given line is also }-\dfrac{3}{2}\)

\(\text{Therefore, m}=-\dfrac{3}{2}\)

Substitute values into the given form

\(y-y_1=m(x-x_1)\)

\(y-(5)=-\dfrac{3}{2} (x-(-4)\)

Simplify the expression

\(\Large\boxed{y-5=-\dfrac{3}{2} (x+4)}\)

Hope this helps!! :)

Please let me know if you have any questions

The probability that Kylee wins at most 2 prizes in 3 attempts is 0.95625.

To answer this question, we can use the binomial distribution formula:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

where X is the number of times Kylee wins a prize, and P(X = k) is the probability of winning k prizes in 3 attempts.

Using the binomial distribution formula, we can calculate these probabilities using the following formula:

\(P(X = k) = (n choose k) × p^k × (1-p)^(n-k)\)

where n is the number of trials (in this case, 3), p is the probability of winning a prize (0.45), and k is the number of

successes we want to calculate the probability for.

Now, let's plug in the values for k = 0, 1, and 2:

\(P(X = 0) = (3 choose 0) × 0.45^0 × (1-0.45)^3 = 0.342

P(X = 1) = (3 choose 1) × 0.45^1 × (1-0.45)^2 = 0.4095

P(X = 2) = (3 choose 2) × 0.45^2 × (1-0.45)^1 = 0.20475\)

Now, we can add up these probabilities to find the probability that Kylee wins at most 2 prizes:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.342 + 0.4095 + 0.20475 = 0.95625

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Answer:

GH= 65.75

x=44.25

Step-by-step explanation:

I'm not so sure don't take my word for it I just wanted to try because I'm also new to geometry.

Answer:

85cm^2

Step-by-step explanation:

(5×30)/2 + (5×4)/2

Answer:

i cant see the problem to solve

A bicyclist turning around a corner is an example of acceleration. Because the direction of the cycle is changing.

The rate of change of velocity is called acceleration. It is a vector quantity that means acceleration depends on the magnitude as well as direction.

A.  A bicyclist turning around a corner is an example of acceleration.

Because the direction of the cycle is changing.

B.   A car parked in a driveway is not an example of acceleration.

Because the car is at rest.

C.  A bus traveling north at 25m/s is not an example of acceleration.

Because the change in velocity is zero.

D.  A helicopter waiting to take off is not an example of acceleration.

Because the helicopter is standing on the ground yet.

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Answer:

A: A bicyclist turning around a corner

Step-by-step explanation:

Overall, as a result of these transactions, the U.S. firm would be importing Japanese goods. Here's how the process works:

1. The U.S. firm exchanges dollars for yen: In this step, the firm converts its U.S. dollars into Japanese yen by participating in the foreign exchange market. This allows the firm to obtain the necessary currency to conduct business in Japan.

2. The firm uses yen to buy Japanese goods: With the acquired yen, the U.S. firm can now purchase goods from Japanese suppliers. These goods can vary depending on the nature of the firm's business, but they could include anything from electronics to automobiles.

3. Implications of importing Japanese goods: By purchasing Japanese goods, the U.S. firm is participating in international trade and importing these goods into the United States. This can have several implications, including contributing to the U.S. trade deficit (if imports exceed exports) and potentially impacting domestic industries.

It's important to note that this answer is based on the given information and assumes that there are no additional factors or influences at play.

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Answer:

Step-by-step explanation:

t = \(cos^{-1} (\frac{3}{5})\)

t ≈ 53°

cos t = cos (- t) = \(\frac{3}{5}\)  

sec ( \(\pi\) + t ) = -  \(\frac{5}{3}\)

Answer:

8 hours. maybe 8×4

Step-by-step explanation:

I'm not sure on the last part though

Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

Answer:

X= -5

Step-by-step explanation: