Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4.
What inequality does Hank use to determine how many toy cars, c, he must sell to make a
profit of at least $50?
A
B
34c s 50
340 250
40 + 30 S 50
40 - 30 250
С
D

Answer:

We can define a horizontal dilation/contraction of scale factor A, as:

g(x) = f(x*A)

if A > 1, this will be a contraction (it will be steeper)

if  0 < A < 1, this will be a dilation. (it will be less steep)

Then if we have:

g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.

Below, you can see how the graphs change, where:

Blue is f(x)  =x

green is g(x) = f(6*x) = 6*x

Answer:

C

Step-by-step explanation:

Hope this helps

Answer:

\(\dfrac{-7}{2}\)

Step-by-step explanation:

Here we are given a polynomial ,

\(\implies f(x) = 2x^3 + Ax^2 + 4x - 5 \)

And the value of ,

\(\implies f(2) = 5 \dots (i) \)

And we need to find out the value of A . Firstly substitute x = 2 in f(x) , we have ,

\(\implies f(2) = 2(2)^3+ A(2)^2 + 4(2) -5 \)

Simplify the exponents ,

\(\implies f(2) = 2(8) + A(4) + 8 - 5 \)

Simplify by multiplying ,

\(\implies f(2) = 16 + 4A + 3 \)

Add the constants ,

\(\implies f(2) = 19 + 4A \)

Now from equation (i) , we have ,

\(\implies 19 + 4A = 5 \)

Subtracting 19 both sides,

\(\implies 4A = 5-19 \)

Simplify,

\(\implies 4A = -14\)

Divide both sides by 4 ,

\(\implies A =\dfrac{-14}{4}=\boxed{ \dfrac{-7}{2}}\)

Hence the value of A is -7/2.

Answer:

Table B

Step-by-step explanation:

Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:

In table C:

As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.

In table D:

As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.

We are left with options A and B

If y varies inversely as x, the following relationship must hold:

\(y \alpha \frac{1}{x}\\y = \frac{k}{x}\)

Where k is a constant of proportionality

considering option B:

When x = 1, y = 36

36 = k/1

k = 36 * 1

k = 36

when x = 2, y = 36/2

y = 18

when x = 3, y = 36/3

y = 12

These tally with all that is indicated in the table. Option B is an inverse variation

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

2.3+5.1-7x-3x

7.4-10x

Answer: 340

Step-by-step explanation:

100 - 74 = 26%

26% = .26

x * .26 = 88.4

  /.26    /.26

x = 340

check

340 * .74 = 251.6

340 - 251.6 = 88.4

The mean of the sampling distribution is equal to the population proportion, and the standard deviation can be calculated using the formula sqrt(p*(1-p)/n), where p is the population proportion and n is the sample size.

Explanation: The sample proportion of homeowners can be calculated as the ratio of the number of homeowners to the sample size:

p^- = 1725 / 3000 = 0.575

This sample proportion provides an estimate of the population proportion of homeowners among recent alumni of the college. Therefore, we can conclude that the population proportion is estimated to be 0.575.

The mean of the sampling distribution is equal to the population proportion, which is 0.575. This means that if we were to take an infinite number of random samples of size n from the population, the average of the sample proportions would be equal to the population proportion.

The standard deviation of the sampling distribution can be calculated using the formula:

σ = sqrt(p*(1-p)/n)

Where p is the population proportion and n is the sample size. Substituting the values, we get:

σ = sqrt(0.575*(1-0.575)/3000) = 0.015 (rounded to three decimal places)

This means that if we were to take an infinite number of random samples of size n from the population, the sample proportions would be distributed around the population proportion with a standard deviation of 0.015.

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Using a proportional relationship, it is found that she would be able to drive 240 miles on 8 gallons of gasoline.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, it is found that she drives 30 miles per gallon, hence the function for the distance driven considering the number of gallons in the tank is given by:

D(n) = 30n.

She has n = 8 gallons, hence the distance is given by:

D(8) = 30 x 8 = 240 miles.

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The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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The greatest whole number possible length for the given measures of triangle is 23 cm.

As given in the question,

Measure of two side-length of a given triangle are :

Let 'x' be the side length = 8.5cm

And 'y' be the side length = 15cm

'z' be the side length of the third side of a triangle.

Sum of two sides is greater than third side and difference of two sides is smaller than the third side.

y - x < z < y + x

⇒ 15 - 8.5 < z < 15 + 8.5

⇒ 6.5 cm < z < 23.5cm

Greatest whole number representing length of the third side of a triangle is  less than 23.5 .

⇒ z = 23cm

Therefore, the length of the third side of a triangle represented by greatest whole number is equal 23cm.

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Answer:

hggssssssssssssssssssss

Answer: 15.5 divided by 33.17  would be 0.46728972

Make sure you put your decimal point

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

the Answer is B

Step-by-step explanation:

The calculator provides a tool to help the user convert the repeating decimals to fractions.

A decimal is composed of a whole number and a fraction and is separated by a decimal point.

A fraction is a part of a number. It shows us the parts of a whole of something.  

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The probabilities for these events and their complements are 3/7  and 4/7, 7/15 and 8/15, 1/6 and 5/6, etc.

A probability shows the likelihood of an event occurring. This can be expressed as a fraction or as a number from 0 to 1. If expressed as a fraction we expect the numerator to be the desired event, and the denominator to be the total possible outcomes.

On the other hand, the complement expresses the likelihood that the event the desired event does not occur and can be determined by finding the difference between the first probability and the total.

Based on this, the probabilities for each of the events are:

Note: This question is in a different language, here is the question in English:

Find the probability of the event described in each example and the probability of its complement

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Answer:

We have, 80% × x = 100

or,

80/100×1 x = 100

Multiplying both sides by 100 and dividing both sides by 80,

we have x = 100 × 100/80

x = 125

If you are using a calculator, simply enter 100×100÷80, which will give you the answer.

Answer:7

Step-by-step explanation:

100/20 = 5

35/5 = 7

Answer:

2 units.

Step-by-step explanation:

Because the line segment is simply translated, the length stays the same. It is perfectly identical to the original line segment.

Since the value is a numerical measurement representing a property of a sample, it is statistical.

Given that a sample of workers is chosen, and it is discovered that 55% of them possess a car.

Let's first clarify the distinction between a parameter and a statistic before moving on to the questions.

Parameters are numerical summaries of population statistics. However, statistics are numerical summaries of sample data.

Sample is a subset of the population; as such, it is just a small percentage of the whole population.

The percentage of the sample of employees in this case is 55%. Statistic refers to a numerical representation of data about a sample.

The value is statistical since it is a numerical measurement that describes a property of a sample.

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Answer:    14 √ 3

Step-by-step explanation:

Step 1: List Factors

List the factors of 588 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 4, 49, 196

Step 3: Divide

Divide 588 by the largest perfect square you found in the previous step:

588 / 196 = 3

Step 4: Calculate

Calculate the square root of the largest perfect square:

√196 = 14

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 588 in its simplest form:

14 √ 3  

The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer:

5, 7

Step-by-step explanation:

Answer: y= -1/3x + 5

Step-by-step explanation:

Answer:

Sana my pic pra masagutan

Step-by-step explanation:

Asan po ang naka under line digit?

We have shown that P(N < aJ) ≤ 1 - J for nonnegative values aj.N is a nonnegative integer-valued random variable

To prove the given inequality, let's start by defining the indicator random variable Ij, which takes the value 1 if aj ≤ N and 0 otherwise.

We have:

Ij = {1 if aj ≤ N; 0 if aj > N}

Now, we can express the expectation E(Ij) in terms of the probabilities P(aj ≤ N):

E(Ij) = 1 * P(aj ≤ N) + 0 * P(aj > N)

= P(aj ≤ N)

Since N is a nonnegative integer-valued random variable, its probability distribution can be written as:

P(N = n) = P(N ≤ n) - P(N ≤ n-1)

Using this notation, we can rewrite the expectation E(Ij) as:

E(Ij) = P(aj ≤ N) = P(N ≥ aj) = 1 - P(N < aj)

Now, let's consider the sum of the expectations over all values of j:

∑ E(Ij) = ∑ (1 - P(N < aj))

Expanding the sum, we have:

∑ E(Ij) = ∑ 1 - ∑ P(N < aj)

Since ∑ 1 = J (the total number of values of j) and ∑ P(N < aj) = P(N < aJ), we can write:

∑ E(Ij) = J - P(N < aJ)

Now, let's look at the expectation E(∑ Ij):

E(∑ Ij) = E(I1 + I2 + ... + IJ)

By linearity of expectation, we have:

E(∑ Ij) = E(I1) + E(I2) + ... + E(IJ)

Since the indicator random variables Ij are identically distributed, their expectations are equal, and we can write:

E(∑ Ij) = J * E(I1)

From the earlier derivation, we know that E(Ij) = P(aj ≤ N). Therefore:

E(∑ Ij) = J * P(a1 ≤ N) = J * P(N ≥ a1) = J * (1 - P(N < a1))

Combining the expressions for E(∑ Ij) and ∑ E(Ij), we have:

J - P(N < aJ) = J * (1 - P(N < a1))

Rearranging the terms, we get:

P(N < aJ) = 1 - J * (1 - P(N < a1))

Since 1 - P(N < a1) ≤ 1, we can conclude that:

P(N < aJ) ≤ 1 - J

Therefore, we have shown that P(N < aJ) ≤ 1 - J for nonnegative values aj.

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The opportunity cost is merely the expense of not making a decision.

As a result, if you chose Project P placed above a white Project Q, the opportunity cost for such a decision is 75,000 times the estimated NPV of Project Q.

The distinction between current value of money over time value of cash outflows over time is defined as net present value (NPV).

Some key features regarding the Net Present Value (NPV) are-

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Answer:

7.3 hours per day.

Step-by-step explanation:

Just do 58.4 divided by 8 and you get 7.3.

*Hope this helps*