Translate the sentence into an equation.

The sum of 5 times a number and 2 is 7.

Use the variable y for the unknown number.

All the points which are at the distance of PQ from the center of the circle will be located on the circle.

A circle is a closed shape created by following a moving point on a plane while maintaining a constant distance from another point.

According to the given question, the circle named A has it's center at the point P and has a point Q on the circumference of the circle, so any point at the distance of PQ from the center of the circle will lie on the circumference of the circle.

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Answer:

Points S, T, and W

Hope this helps!

Step-by-step explanation:

Answer: $44.04

Step-by-step explanation: Add up all the prices 13.75+15.85+11.95 which is 41.55. Now times 41.55 by 6% which is 2.493. Now add the total and the tax. 41.55 + 2.493 = $44.04 as the final total.

The equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

The materials quantity variance is a measure of the difference between the actual quantity (AQ) of materials used and the standard quantity (SQ) of materials that should have been used, multiplied by the standard price (SP) per unit. The variance indicates whether more or fewer materials were used compared to the standard, and it quantifies the cost impact of the difference.

The formula (AQ × AP) – (SQ × SP) calculates the materials quantity variance by multiplying the actual quantity (AQ) by the actual price (AP) per unit and subtracting the product of the standard quantity (SQ) and the standard price (SP) per unit. This formula directly compares the actual and standard quantities and calculates the cost impact of any deviations.

Therefore, the correct equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

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Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left.  Amir used a total of 1/3L gas in each direction

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

Initial amount = 1L

Remaining amount = 1/3L

The amount of gas he used in each direction is calculated as

Amount used in each direction =(Initial amount - Remaining amount)/2

Substitute the known values in the above equation, so, we have the following representation

Amount used in each direction =(1L - 1/3L)/2

Evaluate

Amount used in each direction =1/3L

Hence, the amount is 1/3L

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Here is the complete question:

Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left. How much gas did he use in each direction?

The total weight is 18.5 kilograms

Answer:

$40

Step-by-step explanation:

You can see on the graph that when Jaime works 5 hours, he will get $40.

Answer:

$40

Step-by-step explanation:

Pay rate = $8 per hour (see on graph)

($8)(5) = $40

Since the graph starts at 0,0 and the slope is constant, you can simply look at the graph and see the point (5, 40) which means that he made $40 in 5 hours.

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

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Hi! I'm Pearl, from your math class, you're the one who always uses ♡ this ♡

during class with Leah, right?

Anyways, here is your answer:

200 meters^3

Volume = 50×8×0.5 = 200 meters^3

Correct me if I'm wrong! :)

Answer: 200m³

Step-by-step explanation: 50m x 8m x 0.5m

The bicycles produced from the beginning of week 2 to the end of week 3 are 2926.

To find the number of bicycles produced from the beginning of week 2 to the end of week 3, we will use the given production function P(t) = 95 + 588t^2 - 14t, where t is the number of weeks.

First, we need to find the number of bicycles produced by the end of week 2 and week 3.

To do this, we'll plug in t = 2 and t = 3 into the production function:

P(2) = 95 + \(588(2)^{2}\) - 14(2) = 95 + 588(4) - 28 = 95 + 2352 - 28 = 2419 bicycles

P(3) = 95 + \(588(3)^{2}\) - 14(3) = 95 + 588(9) - 42 = 95 + 5292 - 42 = 5345 bicycles

Now we need to find the difference between the bicycles produced by the end of week 3 and those produced by the end of week 2:

Number of bicycles produced from the beginning of week 2 to the end of week 3 = P(3) - P(2) = 5345 - 2419 = 2926 bicycles

So, the factory produced 2926 bicycles from the beginning of week 2 to the end of week 3.

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Answer:

HEy, dont every do tht

Step-by-step explanation:

Answer:

The value of X is 72

Step-by-step explanation:

corresponding angles

Answer:

A square is a rhombus.

Step-by-step explanation:

A square is a geometrical figure which has four sides that are congruent. A rhombus is also a geometrical figure in which the four sides are congruent. Hence, it is true that a square is a rhombus. The difference between the two is that all the angles of a square are a right angle, while in rhombus the opposite angles are congruent.

Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

Answer: x=1/3y−2

               y=−x+110

Step-by-step explanation:

Answer:

square root of 109

Step-by-step explanation:

Use the Pythagorean Theorem to find x. The equation is a^2+b^2=c^2. In this case, a=3, b=10, and c=x. Plug that into the equation to get 9+100=c^2. Simplify that to get 109=c^2. Then divide each side by squared to get square root of 109=c.

Hope this helps

Answer:

3/11

Step-by-step explanation:pls mark me brainliest

The value of MAS to the nearest degree, given the radius of the circle, is 103 degrees.

Angle MAS can be found by the formula for calculating arc length which is:

L = ( n π r ) / 180

Further solving will give us:

n π r = 197 x 180 = 3, 546

n = 3, 546 / π r

n = 3, 546 / ( 3.14 x 110 )

n = 103 degrees

In conclusion, angle mAS can be found to be 103 degrees.

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where's your picture?

Answer: Is 3x+y=0

Step-by-step explanation:

Answer:

3x+y=0 is the correct answer

Answer:

check b, c, and d

Step-by-step explanation:

not all functions are linear so don't click A.

Answer:

I'm not sure if it's c but b and d are true

Step-by-step explanation:

Sorry this is late.... need the points

The graph shown above does not represent a function.

If the curve of the graph is to the right or left, it does not represent a function because an x-value will have only two different y-values that corresponds to it, which is not a characteristic of a function.

The graph shown has the curve with the tip to the right, this means, for example, x-value of 5 has two different y-values of -4 and 4.

Therefore, the graph is not a function.

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Answer:

1000.

Step-by-step explanation:

The Value of the 2 in 204.75, is 200.

The Value of the 2 in 103.52 is 0.02.

So to make the 0.02 become 200, you have to move the decimal point 3 spaces to the right.

Therefore, the 2 in 204.75 is 1000 times greater than the value of the 2 in 103.52.

I hope this helps!

If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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The variable of interest A is not controlled when we talk about observational studies. Hence, option D is the correct answer.

A variable of interest is a quantity in observational studies. In experimental studies, a changing quantity that we are interested in measuring is called the variable of interest. A few more of these are called the factors of the study and are controlled in order to obtain the data regarding how the factors influence another variable which in turn is called the response variable, or simply put, the response.

In observational studies, we are not able to control the variable of interest and hence, amongst the given options, it becomes that the correct option is option D.

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a. The probability corresponds to the area under the standard normal curve to the left of the z-score. b. the probability associated with this z-score, which corresponds to the area under the standard normal curve to the left of the z-score.

a. The probability that a randomly selected teacher in New Jersey makes less than $50,000 a year can be calculated using the standard normal distribution. We need to standardize the value of $50,000 using the given mean and standard deviation.

First, we calculate the z-score, which measures the number of standard deviations a value is away from the mean:

z = (X - μ) / σ

Where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

In this case, X = $50,000, μ = $52,174, and σ = $7,500.

z = (50,000 - 52,174) / 7,500

Now, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score. The probability corresponds to the area under the standard normal curve to the left of the z-score.

Let's assume that the probability is denoted by P(Z < z). Using the standard normal distribution table or calculator, we can find the corresponding probability value.

b. If we sample 100 teachers' salaries, we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean. The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

In this case, we can assume that the population distribution is approximately normal, so the sampling distribution of the sample mean will also be approximately normal.

The mean of the sampling distribution of the sample mean is equal to the population mean, which is $52,174. The standard deviation of the sampling distribution, also known as the standard error of the mean, is equal to the population standard deviation divided by the square root of the sample size.

In this case, the population standard deviation is $7,500 and the sample size is 100.

Standard error of the mean = σ / sqrt(n) = 7,500 / sqrt(100) = 7,500 / 10 = 750

To find the probability that the sample mean is less than $50,000, we need to standardize the value of $50,000 using the mean and standard error of the sampling distribution.

z = (X - μ) / SE

Where X is the value we want to find the probability for, μ is the mean of the sampling distribution, and SE is the standard error of the mean.

In this case, X = $50,000, μ = $52,174, and SE = $750.

z = (50,000 - 52,174) / 750

Now, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score, which corresponds to the area under the standard normal curve to the left of the z-score.

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Answer:

1 true

2 false

3 true

4 true

5 false

Answer:

x=64, Option D

Step-by-step explanation:

-2√x+4=-12

-2√x=-16

(-2√x)^2=-16^2

4x=256

x=256/4

x=64

The solution to the given equation \(-2\sqrt{x} +4=-12\) is 64. Therefore, the correct answer is option D.

The given equation is \(-2\sqrt{x} +4=-12\).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, transpose 4 to RHS of the equation, we get

\(-2\sqrt{x} =-12-4\)

\(-2\sqrt{x} =-16\)

Transpose -2 to RHS of the equation, we get

\(\sqrt{x}=8\)

Squaring on both side, we get

x=64

Therefore, the correct answer is option D.

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Answer:

Step-by-step explanation:

175-20%= 35 off

175-35=140

140*8% tax= 11.20 tax

140+11.20= 151.20

151.20*18% tip= 27.216

151.20+27.22=178.42 total

Answer:

Step-by-step explanation: since the 1.5 is suppose to be on the x axis, you plot the point between 1 and 2. Ten you go down to the y axis since it is negative and plot it between -2 and -3.

click the file below to see the answer:

Answer:

(6π + 16)cm² or 34.8 cm²

Step-by-step explanation:

square = 4 x 4 = 16 cm²

3 semi circles = 3 * 1/2 pi (2)² = 6pi cm² or 18.8 cm²

The area of the composite figure is (61 + 16) cm, the correct option is B.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\(\text{Area of composite figure} = \sum (\text{Area of composing figures})\)

That ∑ sign shows "sum"

We are given that;

The figure with three semi circles and square with side 2cm

Now,

Area of square

=4x4

=16

Area of 3 se semi circles

=3.14*2*3/2

=61

Total= 61+16

Therefore the area of composite figure will be (61 + 16) cm.

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