When F(x) = -3, what is x?​

Answer:

Its 90

Step-by-step explanation:

Answer:

10 teachers to 241 students

Step-by-step explanation:

Number of students  = 482

Number of teachers  = 20

Unknown:

ratio of students to teachers = ?

Solution:

To find the ratio:

     Number of students :  Number of teachers

                  482               :           20

Reduce to the smallest value, divide by 2;

                  241                 :           10

In the class there are 10 teachers to 241 students

Answer: 5 quarters will fit in the square of area 225 in²

Step-by-step explanation: :- Area of quadrant = 14 in²area of square = 225 in²

Answer:

d) Rhoda's method

Step-by-step explanation:

We are given an Algebraic expressions

Negative 2 (3 x minus 12) = negative 6 x + 24.

= -2(3x - 12) = -6x + 24

Distributive property states that:

a(b - c) = ab - ac

2(3x - 12) = -2 × 3x - (-2 ×12)

= -6x + 24

From the above question, we can deduce the following information:

a) Zoe

Step 1

Substitute opposite values of x into both expressions.

2(3x - 12) = -6x + 24

Lets say x = 1, opposite of 1 = -1

Hence

2(3 × 1 - 12) = -6(-1) + 24

-2(3 - 12) = 6 + 24

-6 + 24 = 6 + 24

18 ≠ 18

Step 2.

The expressions are equivalent if the values of the expressions are equal.

Zoe is wrong

b) Latoya

Step 1

Substitute the same value of x into both expressions.

Step 2

The expressions are equivalent if the value of one of the expressions is zero.

Latoya is wrong

c) Christina

Step 1

Substitute opposite values of x into both expressions.

Step 2

The expressions are equivalent if the values of the expressions are opposites.

Christina is wrong

d) Rhoda

Step 1

Substitute the same value of x into both expressions

-2(3x - 12) = -6x + 24

Let say x = 1

-2(3 × 1 - 12) = -6(1) + 24

-2(3 - 12) = -6 + 24

-6 + 24 = -6 + 24

18 = 18

Step 2

The expressions are equivalent if the values of the expressions are equal.

Therefore, Rhoda method is correct

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

Answer:

9

Step-by-step explanation:

if she has 14 and then spends 5 she will have 9. 4-5=9

The buyer for the retail store ordered 83 dozen pairs of shorts. To determine the total number of pairs of shorts, we need to multiply the number of dozens by 12 buyer ordered 996 pairs of shorts.

To calculate the number of pairs of shorts, we can use the following formula:

Number of pairs of shorts = Number of dozens * 12

In this case, the number of dozens is 83, so substituting it into the formula, we have:

Number of pairs of shorts = 83 * 12

Evaluating the expression, we find:

Number of pairs of shorts = 996

Therefore, the buyer ordered 996 pairs of shorts.

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Answer:

19

Step-by-step explanation:

Answer:

r(-2) = -5 , r(0) = -7 , r(5) = -12

Step-by-step explanation:

Plug in the numbers for x and then solve. : )

r(-2) = - (-2) - 7

r(-2) = 2 -7

r(-2) = -5

r(0)= -0 -7

r(0)=0-7

r(0) = -7

r(5) = -5 - 7

r(5) = -12

The values of r(x) for x = - 2, 0 and 5 are obtained by Substituting the values for x in the function, hence the values are :

When x = - 2

When x = 0

When x = 5

Therefore, the required values are - 9, - 7 and - 2

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Answer:5/8

Step-by-step explanation:

\(\begin{gathered} \boxed{ \sf \frac{3}{4} - \frac{1}{8}} = \\ \\ \sf \frac{8 \div 4 \times 3 - 8 \div 8 \times 1}{8} = \\ \\ \sf\frac{6 - 1}{8} = \\ \\ \sf \boxed{ \sf\frac{5}{8}} \end{gathered}\)

Therefore, the result of this subtraction of fractions is five eighths.

How to subtract unlike fractions:

Heterogeneous fractions are fractions that have different denominators.

To subtract heterogeneous fractions we follow these steps:

It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.

It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.

On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.

Therefore, it can be seen that Latanya is correct.

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A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?

160.55 is  the difference. i underlined each number i added on each line.

What is an linear equation in math?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

So the solution is 160.55

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Answer:

I could be wrong on this BUT

Step-by-step explanation:

4x+10=30

-10=-10

4x = 20

x= 5

2y^2 + 9y + 2, while y = 7

Plug 7 in for y

2(7)^2 + 9(7) + 2

Simplify

98 + 63 + 2

Add together each term

163

Answer:

yea

Step-by-step explanation:

The inverse function of \(\( f(x) = 11x^3 - 12 \)\)  is given by \(\( f^{-1}(x) = \sqrt[3]{\frac{x + 12}{11}} \)\)

To find the inverse of the function \( f(x) = 11x^3 - 12 \), we can follow these steps:

Step 1: Replace \( f(x) \) with \( y \):

\( y = 11x^3 - 12 \)

Step 2: Swap \( x \) and \( y \):

\( x = 11y^3 - 12 \)

Step 3: Solve the equation for \( y \):

\( 11y^3 = x + 12 \)

Step 4: Divide both sides by 11:

\( y^3 = \frac{x + 12}{11} \)

Step 5: Take the cube root of both sides:

\( y = \sqrt[3]{\frac{x + 12}{11}} \)

Therefore, the inverse function of \( f(x) = 11x^3 - 12 \) is given by:

\( f^{-1}(x) = \sqrt[3]{\frac{x + 12}{11}} \)

Please note that the cube root symbol (\sqrt[3]{}) represents the principal cube root, which means it gives the real root of the equation.

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A 50 percent increase in Earth's albedo, which refers to the reflectivity of its surface, would lead to a decrease in average surface temperatures.

Albedo plays a crucial role in determining how much of the sun's energy is absorbed or reflected by the Earth. The given information states that approximately 30 percent of the sun's energy is currently reflected back into space. If Earth's albedo increases by 50 percent, meaning more energy is reflected, it would result in less energy being absorbed by the Earth's surface and atmosphere.

The increased albedo would cause a higher percentage of the incoming solar radiation to be reflected and scattered back into space. With less energy being absorbed, the average surface temperatures would decrease. This is because less solar energy would be available to warm the Earth's surface and drive atmospheric processes that contribute to temperature regulation. Therefore, a 50 percent increase in Earth's albedo would likely lead to a cooling effect and lower average surface temperatures on our planet.

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The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.

The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula

Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),

where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.

Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))

Confidence interval = (0.454, 0.681)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).

To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).

From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))

Confidence interval = (0.318, 0.457)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).

Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.

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Answer:

Answer is B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The answer is B

Answer:

45

Step-by-step explanation:

division and multiplication doesnt work

The percent yield of the reaction is approximately 104.8%.

To determine the percent yield of the reaction, we need to compare the actual yield (0.90 grams of water) with the theoretical yield.

First, we need to calculate the molar mass of the substances involved in the reaction:

Molar mass of benzene (C₆H₆): (12.011 g/mol x 6) + (1.008 g/mol x 6) = 78.114 g/mol

Molar mass of water (H₂O): (1.008 g/mol x 2) + (15.999 g/mol) = 18.015 g/mol

Next, we can calculate the theoretical yield of water:

The balanced equation tells us that the molar ratio between benzene and water is 1:1. Therefore, the molar amount of water produced will be the same as the molar amount of benzene used.

Molar amount of benzene used = mass of benzene / molar mass of benzene = 36.5 g / 78.114 g/mol = 0.467 mol

Theoretical yield of water = molar amount of water produced = 0.467 mol

Now we can calculate the percent yield:

Percent yield = (actual yield / theoretical yield) x 100%

Percent yield = (0.90 g / (0.467 mol x 18.015 g/mol)) x 100%

Percent yield ≈ 104.8%

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Answer:

4006

Step-by-step explanation:

Answer:

\(\Huge \boxed{\mathrm{55}}\)

Step-by-step explanation:

\(-7x + 6\)

Put x as -7 and evaluate the expression.

\(-7(-7)+6 \\\\\\ 49+6 \\\\\\ 55\)

Answer:

11.25 miles

Step-by-step explanation:

To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:

distance = rate x time

We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:

rate = distance / time

rate = 45 miles / 2 hours

rate = 22.5 miles per hour

Now we can use this rate and the given time of 1/2 an hour to find the distance:

distance = rate x time

distance = 22.5 miles per hour x 1/2 hour

distance = 11.25 miles

Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.

The statement "An asymmetrical layout can have balance" is true.

Asymmetrical layout is a form of visual balance that utilizes various objects' visual weights and colors to achieve an equilibrium that does not need a mirrored arrangement.

An asymmetrical design comprises two dissimilar sides of a balanced arrangement with various elements that have equal visual weight.

When it comes to graphic design, the term "asymmetrical" means any arrangement that does not appear to be balanced.

Balance is a key principle in graphic design that is defined as the even distribution of visual weight on either side of a composition.

A balanced design feels secure and comfortable, whereas an unbalanced design produces a feeling of discomfort and tension in the viewer.

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Answer:

Step-by-step explanation:

-50 since an integer is the opposite of a whole number positive or negative.

Answer: -50

Step-by-step explanation:

Hey there!

y = (x - 3)^2

y = (9 - 3)^2

y = (6)^2

y = 6 * 6

y = 36

Therefore, your answer is: y = 36

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

arithmetic

Step-by-step explanation:

an arithmetic sequence is when you add or minus the same number

Answer:

the answer to this question is that the sequence is arithmetic sequence

Step-by-step explanation:

because the difference between the consecutive terms is consecutive terms is constant that sequence is arithmetic sequence. And is the sequence the numbers are increasing with +1 increment.