which expression is equivalent to 5(8 + 9)? HELP ASAP

A. 40+45
B. 13+9
C. 13+14
D. 40+9​

Answer:

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Step-by-step explanation:

Dimension of room: 11 * 14 foot

Area of rectangle is given by length * width

Thus,

area of room using above formula = 11*14 square foot = 154 square foot

For company A

charge  for 1 square foot = $2.75

Charge for room = charge  for 1 square foot * area of room

                           = 2.75 * 154 = 423.5

Thus, Total money charged by company  A as calculated above is $423.5

Given,

company B charges $450 per room

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Answer:

Company B

Step-by-step explanation:

To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

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The domain of the function here is {0 ≤ x ≤ 600}. The first option is the right answer.

The domain of a function is the set of all input values (or independent variables) for which the function is defined and produces a valid output (or dependent variable). It is the set of values that can be plugged into a function and yield a valid result.

The domain of this function in this context is {0 ≤ x ≤ 600}.

This is because x represents the number of t-shirts Henry sells and he has ordered 600 shirts. So, he can only sell a non-negative number of shirts (x ≥ 0) and a maximum of 600 shirts (x ≤ 600). Any values outside this range are not meaningful in this context, hence they are not part of the domain.

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The range of the relation is {0, 2, 4}

The range of the relation are the y values

From the table, we have:

y values = 0, 2, 4, 2, 0

Remove the repetition

y values = 0, 2, 4

Hence, the range of the relation is {0, 2, 4}

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Answer:

Step-by-step explanation:

There are four methods of sampling namely Random sampling,Stratified sampling, Cluster sampling and Multistage sampling. Let’s look at them one by one.

Random sampling - When each subject of the population is equally likely to be included in the sample, the sampling method is called random sampling.

Stratified sampling- Under this, the data are first divided into stratas. Each stratum consists of homogeneous subjects and strata are heterogeneous among themselves. Samples are randomly taken from each strata. Example- In an investigation of mortality rate of the insured, we can first subdivide the data into males and females and then take sample from each group. Here, male and female groups represent stratas.

Cluster sampling- Under this we first divide the data into clusters that are homogeneous among themselves and then select few of them and sample all observations from the randomly selected clusters. For example- suppose we want to take a sample of people's weight in a specific city. We observed that the areas in that city are similar to each other , so instead of travelling to each area and collecting data we can select few areas and then take observations from all people of those areas.

Multistage sampling - This adds one more stage to cluster sampling. Unlike cluster sampling where we sample all observations from the selected clusters, In multistage sampling we randomly sample observations from each selected cluster.

I hope this helped.

Answer:

V = 628.3185307 units^3

Step-by-step explanation:

Volume of Cone: V = 1/3h(Pi)r^2

V = (1/3)(6)(Pi)(10^2)    >> multiply everything

V = (Pi)(200)

V = 628.3185307 units^3

The total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

Combinations in probability theory and other areas of mathematics refer to a sequence of outcomes where the order does not matter.

For example, when you're ordering a pizza, it doesn't matter whether you order it with ham, mushrooms, and olives or olives, mushrooms, and ham.

Total number of pizzas that are possible between zero and ten toppings is calculated as follows;

p = 2¹⁰ = 1024 pizzas

Thus, the total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

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Answer:

The tree is 64.9 ft tall.

Step-by-step explanation:

Think of a right triangle. Draw the right triangle. The tree is a vertical side of the triangle, so it is a leg with unknown length, so call its length y. The ground, is a horizontal leg with length 100 ft. The angle from endpoint of the horizontal leg on the ground away from the tree to the top of the tree is 33º.

For the 33º angle, y is the opposite leg, and 100 ft is the adjacent leg.

The trig ratio that relates the lengths of the opposite leg to the adjacent leg is the tangent.

tan A = opp/adj

tan 33º = y/100

y = 100 * tan 33º

y = 64.9

Answer: The tree is 64.9 ft tall.

Answer:

B

Step-by-step explanation:

We have to find which trinomial has:

1) two terms that are the perfect square of two numbers

2) a terms that is the double product of the two numbers

the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2

Options C and D are traps because the square of a number can’t be negative

Answer:

y = 7x

Step-by-step explanation:

y = px

21 = p(3)

÷3

7 = p

You can take the reciprocal of the opportunity cost of producing Product A in terms of Product B to determine the cost of producing Product B in terms of Product A,

To determine the cost of producing Product B in terms of Product A, you can take the reciprocal of the opportunity cost of producing Product A in terms of Product B.

If the opportunity cost of producing 1 unit of Product A is 2 units of Product B, then the cost of producing 1 unit of Product B would be 1/2 unit of Product A.

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Step-by-step explanation:

A confounding variable is a variable that affects the independent and dependent variables and may cause a false association between them. Therefore, in this case:

A. Giving males a different sports drink than females could be a confounding variable since gender may affect their performance.

C. The timing of the sports drink consumption could also be a confounding variable since it may affect the athlete's performance.

D. Giving different brands of sports drinks to the athletes can be a confounding variable since the different formulas in the sports drinks might affect the results.

Therefore, options A, C, and D represent confounding variables. Option B does not represent a confounding variable since allowing athletes to choose their preferred drink from a cooler is a valid way to ensure that each athlete is comfortable with their sports drink.

Answer:

1 1/8 cups of flour

Step-by-step explanation:

hi!

If Chef Johnson needs 4 1/2 cups of flour to make 4 fruitcakes and he wants to make one, he has to divide the recipe by 4. 4 1/2 / 4= 1 1/8

Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

The population variance estimate for the denominator of the F ratios for the main and interaction effects is built by averaging the estimates of the variation of scores inside each cell.

The results of two independent variables on a dependent variable are revealed by a two-way ANOVA, which is an extension of the one-way ANOVA (analysis of variances).

Numerous fields, including finance, economics, science, medical, and social science, use ANOVA.

The mean of a quantitative variable is estimated using a two-way ANOVA in relation to the values of two categorical variables. When attempting to determine the combined impact of two independent factors on a dependent variable, use a two-way ANOVA.

When you want to determine how two factors affect a response variable and whether or not the two factors interact with the response variable, you should utilise a two-way ANOVA.

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5x² – 19x – 4

5x² - 20x + 1x - 4

5x(x-4) + 1(x-4)

(5x+1)(x-4)

hope it helps...!!!

Answer:

2

5

Step-by-step explanation:

Answer:

153.938 sq in.

Step-by-step explanation:

7 x 7 = 49

49 x pi = 153.938

pi = 3.14

Step-by-step explanation:

I think second option is correct option....

hopefully it's correct

Answer:

Step-by-step explanation:

Stage 1

Stage 2

Stage 3

Equation for stage n:

Answer:

A) A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) The difference between the two is that,

For the check, money is taken or removed from the account to pay for a bill while

For the deposit, money is added to the account.

Step-by-step explanation:

Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his checkbook as an $89.80 deposit.

A) Represent each transaction with a rational number

A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) Explain the difference between the transactions.

For the first transaction which is a check for his Verizon bill, using a check on your account means Ishmael wants to withdraw money from his account to pay for the bill. The money in his account will be $89.8 lesser than the initial amount there.

For the second transaction which recording in his checkbook a deposit of $89.80 means $89.80 was added to an account.

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

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Jaden can complete 144 laps in 18 minutes if he maintains the same rate.

If Jaden completes 40 laps in 5 minutes, we can calculate his lap rate by dividing the number of laps by the time taken:

Lap rate = Number of laps / Time

Lap rate = 40 laps / 5 minutes

Lap rate = 8 laps/minute

Now, let's calculate how many laps Jaden can complete in 12 minutes:

Number of laps = Lap rate * Time

Number of laps = 8 laps/minute * 12 minutes

Number of laps = 96 laps

Jaden can complete 96 laps in 12 minutes if he maintains the same rate.

Similarly, let's calculate how many laps Jaden can complete in 18 minutes:

Number of laps = Lap rate * Time

Number of laps = 8 laps/minute * 18 minutes

Number of laps = 144 laps

Jaden can complete 144 laps in 18 minutes if he maintains the same rate.

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Answer:

  52°

Step-by-step explanation:

Angle AOB is the a.pex angle of the isosceles triangle AOB.* Then angles at A and B are congruent and each is the complement of half the angle at O:

  ∠OAB = 90° -(1/2)(76°) = 90° -38°

  ∠OAB = 52°

_____

* You know ΔAOB is isosceles because OA and OB are both radii of the circle, hence the same length.

Answer:

-3x, where x is the number of yards lost on the first play.

Step-by-step explanation:

Answer:

X = -14, Y = -79

Step-by-step explanation:

The two equations both equal Y, a constant, so they can be set to each other.

Find y by plugging -14 into X in either of the equations.

Side note: capitalized variables are generally unpreferred, hope your teacher stops using them! ;)

Answer:

Daniel office is located 20 miles from his house and it took Daniel 25 minutes to drive that distance.

Step-by-step explanation:

Since the graph shows the distance from his house to his office as a function of driving time, then when the driving time is equal to "0", it means that he didn't left his house yet and that is the distance from his house to his office. On the graph this is the point that crosses the "y" axis, 20 miles. When he arrives at his office, then the distance is equal to "0", since he already arrived at his destination. This happens when the graph crosses the "x" axis, which happens on the 25 min mark. So:

Daniel office is located 20 miles from his house and it took Daniel 25 minutes to drive that distance.

The function g(x) = √x / (x³ - 5x² - 14x) is continuous for all values of x greater than 7, which can be represented in interval notation as (7, ∞).

To determine the values of x for which the function g(x) is continuous, we need to consider any potential points of discontinuity. In this case, the function is a rational function, so we need to identify any values of x that would make the denominator equal to zero, as division by zero is undefined.

The denominator of g(x) is x³ - 5x² - 14x. To find the values of x that make the denominator zero, we can factor it as x(x² - 5x - 14) = 0. Solving this equation, we find that x = 0 and x = 7 are the values that make the denominator zero.

However, since the question specifies that x > 7, the interval of interest is x > 7. In this interval, the denominator of the function is always positive, ensuring that there are no points of discontinuity. Therefore, the function g(x) is continuous for all values of x greater than 7, which can be represented as (7, ∞) in interval notation.

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The total number of non-fictional biography books in the library will be equal to 1/5.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Let the total number of books is x.

3/5 of total books are non-fiction, then,

3/5 × x = 3/5x

1/3x of them are biographies.

Then, the number of non-fictional biographies are,

3/5 × 1/3

=1/5

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(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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