A student has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the minimum grade he must get on the last test in order to achieve that average? ​

For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

Answer:

54

Step-by-step explanation:

Answer:

(4t)

Step-by-step explanation:

Hope this helps

5 is the exponent

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

The fraction compares BC to BD is 2/3. Therefore, option A is the correct answer.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Given that, the coordinate points are B(0,1), D(3 ,1) and C(2, 1).

Here, BC is

BC=√[(2-0)²+(1-1)²]

BC=2 units

BD is

BD= √[(3-0)²+(1-1)²]

BD= 3 units

The fraction compares BC to BD is 2/3

Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following fractions compares BC to BD? coordinate plane with segment BD at B(0,1) and D(3 ,1); point C is on segment BD and (2, 1).

Answer choices:

A) 2/3

B) 5/2

C) 2/5

D) 3/2

Answer:

2/5

Step-by-step explanation:

d = √[(x2 - x1)² + (y2 - y1)²]

For segment BD:

BD = √[(5 - 0)² + (1 - 1)²]

= √[5² + 0²]

= √25

= 5

For segment BC:

BC = √[(2 - 0)² + (1 - 1)²]

= √[2² + 0²]

= √4

= 2

Answer:

31 + 32 + 33 = 96.

Step-by-step explanation:

I think you are meaning 96 not -96

Answer:

\(\frac{1}{r^{7} + 8^{12}}\)

Step-by-step explanation:

We need to make the negative exponents positive my puting it over one.

so:

\(r^{-7} + 8^{-12}\\ =\frac{1}{r^{7} + 8^{12}}\\ =\frac{1}{r^{7} + 68719476736}\\\)            <--- This answer could be right.

Answer:

You didn't say how much you had to begin with but if you have nothing in it to start with than

1.) $25

2.) 13 days

Step-by-step explanation:

5 times 5 in 25

and 25 divided by 2 is 12.5 but you cant have half a day so it is rounded to 13

Answer:

this picture doesn't contain the answer to this question but rather the question sent after it. I mistakenly sent you "I don't understand the question".

Answer:

Capacity = 9.63509

Step-by-step explanation:

V = πr²h

9.5 x 9.5 x 3.14 = 283.385

283.385 x 34 = 9,635.09

9,635.09 ÷ 1,000 = 9.63509

Please let me know if this helps.

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5 = 15/20 - 4/20 = 11/20

The area of the shaded region is 104 m².

What is a Triangle ?

The intersection of the two sides of a triangle's three sides, which are known as the vertex, is a sort of polygon. Between two sides, an angle forms. This is among geometry's crucial components.

We know that Area of a triangle = 1/2 × base × height

The area of Big triangle = 1/2 × 30 × 13

                                        = 15 × 13

                                       = 195 m²

Area of Small triangle = 1/2 × 14 × 13

                                    = 91 m²

So, Area of the shaded region

        =  Area of big triangle - Area of small triangle

        = 195 - 91

        =  104 m²

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Answer:

1470

Step-by-step explanation:

Multiply

Answer:n the metric system, "milli" means 1/1,000 and "kilo" means 1,000. This means that a milligram is 1/1,000 of a gram, and a kilogram is 1,000 grams. So a kilogram is much heavier than a milligram; in fact, a kilogra

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

400 times 20%= 80

400-80= 320

the cost of the computer on the weekend costed 320, so you save $80

Answer:

80$

Step-by-step explanation:

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

None of the given expression is equivalent to the given expression

(61 + 4).

Given is the expression (4 + 61).

The given expression is -

61 + 4

65

Now -

None of the expression is equivalent to the given expression.

Therefore, none of the given expression is equivalent to the given expression (61 + 4).

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Answer:

about 23 minutes

Step-by-step explanation:

(65x35)/(65+35)= 2,275/100= 22.75 minutes (or 23 if rounded)

Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

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

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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Answer:

The number of policemen Officers starting each shift is given as follows;

Starting  Time           \({}\)             Officers Starting

8:00 a.m.                   \({}\)            3

Noon           \({}\)                          3  

4:00 p.m.                  \({}\)             6

8:00 p.m.                \({}\)               1

Midnight                 \({}\)               3

4:00 a.m.            \({}\)                   4

Step-by-step explanation:

The given parameters are;

The Time of the Day          \({}\)             Number of Officers

8:00 a.m. --- Noon                  \({}\)            7

Noon --- 4:00 p.m.           \({}\)                   6  

4:00 p.m. --- 8:00 p.m.           \({}\)            9

8:00 p.m. --- midnight          \({}\)               7

Midnight --- 4:00 a.m.           \({}\)              4

4:00 a.m. --- 8:00 a.m.            \({}\)            6

From the table, we have;

The total number of hours worked = (7 + 6 + 9 + 7 + 4 + 6) × 4 = 156 hours

The approximate number of policemen = 156/8 = 19.5 ≈ 20

Let a, b, c, d, e, and f be the number of policemen that start their 8 hour shift starting from 4:00 a.m.

Let b be the number of policemen that start their 8 hour shift at 4:00 a.m.

∴ a + b = 7, b + c = 6, c + d = 9, d + e = 7, e + f = 4, f + a = 6

Given that there are 6 variables, by noting that the maximum value of the variables will be about 5, and by trial and error, we have

a - c = 1

d - b = 3

c - e = 2

d - f = 3

a - e = 2

a - f = 1

Whereby a + b + c + d + e + f = 20

Therefore, we have;

b = 3, d = 6, f = 3, a = 4, c = 3, e = 1

Which gives;

Starting  Time           \({}\)             Officers Starting

8:00 a.m.                   \({}\)            3

Noon           \({}\)                          3  

4:00 p.m.                  \({}\)             6

8:00 p.m.                \({}\)               1

Midnight                 \({}\)               3

4:00 a.m.            \({}\)                   4

Answer:

1.74533

Step-by-step explanation:

The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

Out of 217 visitors who came to Nayeli's website, none of them purchased a costume. Therefore, the number of visitors who may purchase a costume is 217 less than the total number of visitors:

Total visitors - No. of visitors who didn't purchase a costume = 217

Total visitors - 217 = No. of visitors who may purchase a costume

Total visitors = 113 + 217+36 = 336

Out of the remaining visitors, 113 purchased exactly one costume, and 36 purchased more than one costume. Therefore, the number of visitors who purchased one or more costumes is:

No. of visitors who purchased one or more costumes = 113 + 36 = 149

Therefore, the probability that the next person will purchase one or more costumes can be expressed as:

Probability = No. of visitors who purchased one or more costumes / Total visitors

Probability = 149 /336 = 0.443

The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

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Answer:

Step-by-step explanation:

.44

Answer:

The sample size is 1875.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Sampling error of 0.03.

This means that \(M = 0.03\)

99.74% confidence level

So \(\alpha = 0.0026\), z is the value of Z that has a pvalue of \(1 - \frac{0.0026}{2} = 0.9987\), so \(Z = 3\).

25% of all adults had used the Internet for such a purpose

This means that \(\pi = 0.25\)

What is the sample size

The sample size is n. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 3\sqrt{\frac{0.25*0.75}{n}}\)

\(0.03\sqrt{n} = 3\sqrt{0.25*0.75}\)

Simplifying by 0.03 both sides

\(\sqrt{n} = 100\sqrt{0.25*0.75}\)

\((\sqrt{n})^2 = (100\sqrt{0.25*0.75})^2\)

\(n = 1875\)

The sample size is 1875.

Answer: B

Step-by-step explanation: Hope this helps:)