Solve the equation; 6 + 3t = -8m + 27

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

B. 4 tablespoons

Step-by-step explanation:

Let’s make a proportion using the following setup:

tablespoons/servings=tablespoons/servings

We know that 12 tablespoons are needed for 60 servings.

12/60=tablespoons/servings

We don’t know how many tablespoons are needed for 20 servings. We can say x tablespoons make 20 servings.

12/60=x/20

Want want to solve for x, so we must isolate x. x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the proportion by 20.

20*(12/60)=(x/20)*20

20*12/60=x

20*0.2=x

4=x

x= 4 tablespoons

4 tablespoons of butter are used to make 20 servings.

Answer:

x = 6

y = 15

Step-by-step explanation:

We can find the value for x and y using similarity ratio

8/12 = 10/y cross multiply expressions

8y = 120 divide both sides by 8

y = 15

12/(x+12) = 10/15

180 = 10x + 120 subtract 120 from both sides

60 = 10x divide both sides by 10

6 = x

Answer:

A)

Step-by-step explanation:

vertical line test If no vertical line passing through the graph intersects it at more than one point, the relation is a function.

Rocco can use the formula Miles = Gallons of gas × Fuel efficiency for fuel efficiency (also known as gas mileage) to determine the number of miles he can expect to drive using a certain number of gallons of gas.

In this formula, "Miles" represents the number of miles Rocco can expect to drive, "Gallons of gas" represents the amount of gas he has or intends to use, and "Fuel efficiency" represents the number of miles Rocco can travel per gallon of gas.

Fuel efficiency is typically measured in miles per gallon (mpg) and can vary depending on the vehicle, driving conditions, and other factors. Rocco can refer to his vehicle's specifications or consult the manufacturer's documentation to determine the fuel efficiency value to use in the formula.

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The definite integral in part (a) cannot be evaluated using only Gamma or Beta functions.

To evaluate the integral ∫√√z e^(-√z) dz using only Gamma or Beta functions, we need to express the integrand in terms of such functions. However, the integrand in this case does not have a direct representation in terms of Gamma or Beta functions. Therefore, we cannot evaluate the integral using only those functions.

Part (b):

To evaluate the integral ∫(e^x)^2 (e^(2x) + 1)^(-3) dx using only Gamma or Beta functions, we can make a substitution: let u = e^x. Then, du = e^x dx, and the integral becomes ∫u^2 (u^2 + 1)^(-3) du. This can be rewritten as ∫u^2 (1 + u^(-2))^(-3) du.

Now, we can rewrite the integrand using the Beta function as (1/u^2)^(-3/2) * (1 + u^(-2))^(-3) = Beta(-3/2, -3) = Γ(-3/2)Γ(-3)/Γ(-6/2).

Using the properties of the Gamma function, we have Γ(-3/2) = -4√π/3, Γ(-3) = 2, and Γ(-6/2) = -4√π/15. Substituting these values back into the expression, we get (-4√π/3)(2)/(-4√π/15) = 10/3.

Therefore, the value of the integral ∫(e^x)^2 (e^(2x) + 1)^(-3) dx is 10/3.

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Answer:

The most important characteristic of a correlation coefficient is the absolute value.

The absolute value of a correlation coefficient represents the strength of the relationship between two variables, regardless of the direction of the relationship. A correlation coefficient can range from -1 to +1, where a value of -1 indicates a perfect negative correlation (i.e., as one variable increases, the other decreases), a value of +1 indicates a perfect positive correlation (i.e., as one variable increases, the other also increases), and a value of 0 indicates no correlation (i.e., there is no relationship between the variables).

The most important characteristic of a correlation coefficient is the absolute value.

The absolute value of the correlation coefficient represents the strength of the relationship between two variables, regardless of its direction. It indicates the degree to which the variables are associated with each other.

By focusing on the absolute value, we can assess the magnitude of the correlation without being influenced by whether it is positive or negative. For example, a correlation coefficient of -0.8 or +0.8 both indicate a strong relationship, while a correlation coefficient of 0 suggests no relationship.

The number of variables included is not a characteristic of the correlation coefficient itself, but rather a consideration in the analysis. One-tailed and two-tailed refer to the type of hypothesis being tested and are relevant in statistical testing. However, the absolute value of the correlation coefficient is crucial in determining the strength of the relationship between variables, making it the most important characteristic to assess in correlation analysis.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

dude im not so good in this compound interest stuff but lemme try dawg

So 2500*0.035=87.5 thats what he makes every year so times 9=787.5

Then add it to the initial and you got 2500+787.50= 3287.50

Might be wrong brooo but if its right the answer's $3,287.50

Answer:

37.7 cm

Step-by-step explanation:

C = 2πr

diameter = 12cm

Answer:

(4,7)

Step-by-step explanation:

Answer:

I can say Now it's a positive fuction so the answer choices B and D with the negative 1 is wrong, sense Y is = 0 since the slope goes through 0

Step-by-step explanation:

My guess is Most likely A Since C The slope is going left to right which is positive

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

The number is a term in the pattern is 412

First number = 427

Common difference = 15

Then the next number based on the pattern given will be: = 427 - 15 = 412

The main thing about this question is to subtract the difference given which is 15 from the bigger number which is 427.

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For the number of small aircraft that arrive during a 75-min period, the expected value if 10 and standard deviation is 3.17.

The expected value of the number of small aircraft that arrive during a 75-minute period is ⇒ E[X] = μ = 8t.

We need to convert the time period to hours,

So, t = 75/60 = 1.25 hours.

So, the expected number of small aircraft arrivals during a 75-minute period is ⇒ E[X] = μ = 8(1.25) = 10,

To find the standard deviation, we know that for a Poisson distribution, the standard deviation(σₓ) is the square root of mean.

So, σₓ = √μ = √8t,

Substituting t = 1.25,

We get,

⇒ σₓ = √8(1.25) = √10 ≈ 3.17,

Therefore, the expected value for number of aircraft is 10, and standard deviation is 3.17.

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The given question is incomplete, the complete question is

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t.

What are the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period?

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = \(\frac{opposite}{adjacent}\)

           = \(\frac{x}{d}\)

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is \(30^{o}\), and the height of the tree is 10 m, then the distance, d, across the river would be;

d = \(\frac{10}{0.5774}\)

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

52 R17

Step-by-step explanation:

52 * 36 = 1872

1889 - 1872 = 17

--> 52 R17

In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.

Given,

You want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model.

I immediately think of grouping delays into ranges such as those under 40 minutes, those between 40 minutes and 2 hours, those between 2 hours and 10 hours, and those above 10 hours. But doing so requires the use of a classification model, such as logistic regression. We frequently consider whether there will be a delay rather than how long it might last when thinking about delays. In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

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In linear equation, 12 is the constant of proportionality that relates number of chairs, y, to the number of tables, x.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Number of tables, x = 3  

number of chairs , y = 36   = 36/3  = 12

Row 2 says the same thing = 72/6 = 12

Row 2 says the same thing = 108/9 = 12

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Answer:

336

Step-by-step explanation:

To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.

In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.

We use the following formula:

\(P=\frac{n!}{(n-r)!}\)

where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.

n = 8

and

r = 3

thus the number of permutations is given bt:

\(P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336\)

the answer is that there are 336 ways in which the swimmers can finish in first second and third place

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

Brainliest?

Answer:

NO IT IS NOT

Step-by-step explanation:

16 1/2 = 16.5 1/28 = 0.0357

NOT THE SAME!!!!!

Please mark brainiest if this is helpful! :D

Step-by-step explanation:

\( \frac{1}{28} = 16 \frac{1}{2} \\ \frac{1}{28} = \frac{33}{2} \\ \\ not \: the \: same\)

Answer:

gradient is the same as slope

so m=9

Step-by-step explanation:

y=9x+C. insert point(1,4)

4=9*1+C

4-9=C

C=-5

so the equation of the line is y=9x-5

Answer:

The equation of the line  in the form y= mx + C,  which passes through

(1,4) and has gradient 9 is

Step-by-step explanation:

We need to write the equation of the line  in the form y= mx + C,  which passes through  (1,4) and has gradient 9

The equation of form  \(y=mx+c\) has m equals to slope and c equals to y-intercept

So, we need to find slope and y-intercept.

Finding Slope

We are given gradient = 9

Gradient is also known as slope, so m = 9

Finding y-intercept

Using point (1,4) and slope m = 9, we can find y-intercept

\(y=mx+c\\4=9(1)+c\\4=9+c\\c=4-9\\c=-5\)

So, y-intercept is: c = -5

Equation of line

Now, the equation of line having slope m = 9 and c= -5 is:

\(y=mx+c\\y=9x-5\)

So, the equation of the line  in the form y= mx + C,  which passes through

(1,4) and has gradient 9 is

The distance between N and PS is 3.2.

What is the midpoint of the segment?

Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.

From the below figure,

N is the intersection of the red and blue circles.

I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).

Then the formula for the red circle is:

             (x-2)² + (y-4)² = 4.

The formula for the blue circle is

                  x² + y²- 16 = 0.

Solving for x and y yields intersections

               (0, 4) and (3.2, 2.4),

the first being S and the latter being N.

Hence, the distance between N and PS is 3.2.

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what went wrong

the student did not cross multiply, and instead multiplied within each fraction.

rework the problem

mx24=8x15

m=120/24

m= 5

helpful strategy

draw a line from each value to the one you're multiplying it by

practice problems

12/z = 15/20

The correct statement is: The margin of error is plus or minus 3%.

To determine the margin of error based on the given confidence interval, we can calculate half the width of the interval. The margin of error is the maximum likely difference between the true proportion and the sample estimate.

The given confidence interval is (40%, 46%), so the width of the interval is 46% - 40% = 6%.

The margin of error is half of the width of the interval, so the margin of error is 6% / 2 = 3%.

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Answer:

15 miles/hour = 0.25 miles/minute

The cyclist would have traveled 5 miles in 20 minutes.

Step-by-step explanation:

15 miles per hour is written as

15 miles/hour

To convert 15 miles/hour to miles/minute

From 1 hour = 60 minutes

∴ 15 miles/hour = 15 miles/ 60 minutes

= (15/60) miles/minute

= 0.25 miles/minute

To calculate how many miles the cyclist will travel in 20 minutes

That is, Time, t = 20 minutes

Velocity, v = 15 miles/hour = 0.25 miles/minute

Distance, s = ??

From,

\(Velocity = \frac{Distance}{Time}\\\)

∴\(Distance = Velocity\) × \(Time\)

\(Distance = 0.25 miles/minute\) × \(20 minutes\)

\(Distance = 5 miles\)

Hence, The cyclist would have traveled 5 miles in 20 minutes.

The best point estimate for the population mean score on the nationwide examination in psychology is the sample mean of 492.

When we take a sample from a population, the sample mean is a point estimate of the population mean. A point estimate is an estimate of a population parameter based on a single value or point in the sample. In this case, the sample mean of 492 is the best point estimate for the population mean, because it is an unbiased estimator.

An estimator is unbiased if it is expected to be equal to the true population parameter. In this case, the expected value of the sample mean is equal to the population mean. This means that if we were to take many different samples from the population and calculate the sample mean for each sample, the average of all these sample means would be equal to the population mean.

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The given question is incomplete, the complete question is:

You would like to construct a 95% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 492 and a standard deviation of 78. What is the best point estimate, based on the sample, to use for the population mean?