Find the derivative of f(x) = 7x + 4

Answer: 15.5 divided by 33.17  would be 0.46728972

Make sure you put your decimal point

Answer:

a + b = 90°

Step-by-step explanation:

If sum of two angles are 90°, then the two angles are complementary

Angles that are complements form corners. I've bolded the "co" letters to help remember that complementary angles form a 90 degree corner. Whereas supplementary angles form a straight line (both "supplementary" and "straight" start with "S"). So that's one way to remember the two terms.

Anyways, if a and b are complements of each other, then a+b = 90.

The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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The weight of the piknits can be used to predict the number of gogles as there is Linear equation in variables may be defined as a linear courting among x and y, that is, variables.

In this case, x is the impartial variable, and y relies upon on it, so y is known as the established variables.

linear courting (or linear association) is a statistical time period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = mx + b.

"There is no linear relationship between the weight of the and the number of glasses"

"There is a linear relationship.

A. Yes, because the scatterplot shows a linear pattern.

C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals is.

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The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.

The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.

To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:

7.50s + 10a ≥ 1200

This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.

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Answer:

9.6

Step-by-step explanation:

ratio means you divide one by the other

240/25

9.6

Answer:

u know you're so amazing girl or boy

Given that the volume of a rectangular prism is 240 cubic inches. We need to find the value of x.Let the length of the rectangular prism be l, the width of the rectangular prism be w and the height of the rectangular prism be x.

Therefore, Volume of rectangular prism = Length × Width × HeightV = l × w × xVolume of the rectangular prism is given as 240 cubic inches.240 = l × w × xThis is the required equation that will help us to determine the value of x in terms of l and w.

Now we can rearrange the equation to get the value of x in terms of l and w as:240 / lw = xThus, the value of x = 240 / lw Hence, the value of x is 240/lw.

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Answer:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

Answer:

alternate interior angles

Step-by-step explanation:

We are looking at angles <3 and <6

which are on opposite sides of a transversal (line crossing through 2 parallel lines)

meaning that those 2 angles are congruent and are alternate interior angles are they are on the inside of this figure.

*Can we see the answer choices?  I'm not sure what they are, meaning I cannot fully help you*

Hope this helps a little! :)

Lisa's percentile rank is approximately 7.857%.

To calculate Lisa's percentile rank, you can use the formula:

Percentile Rank = (Number of scores less than Lisa's score / Total number of scores) * 100

In this case, Lisa's score is 86, and it is the 23rd score from the top in a class of 280 scores. Therefore, the number of scores less than Lisa's score is 23 - 1 = 22 (excluding Lisa's score itself).

Substituting the values into the formula:

Percentile Rank = (22 / 280) * 100 ≈ 7.857%

Lisa's percentile rank is approximately 7.857%.

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Answer:

what exacly are you trying to figure out

Step-by-step explanation:

Answer:

Step by Step Solution

STEP1:

Solving a Single Variable Equation:

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

No solutions found

Answer:

A

Step-by-step explanation:

The probability of Maria succeeding is 0.2.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

P( E )   =   number of favourable outcomes / number of total outcomes  → 1

The results  from the 25 samples showing success in each of the 10 trial throws:

Maria succeeds fewer than 7 times i.e. 5 and 6 times for 0 + 5 = 5 outcomes.

The probability of Maria succeeding at fewer than 7 throws in a sample of 10 free throws,

Number of favourable outcomes   =   5        →   (i)

Number of total outcomes   =   25                →   (ii)

Substitute (i) and (ii) in 1,

P( E )   =   5 / 25

           =   1 / 5

P( E )    =   0.2

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The complete question is

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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The probability of getting 2 or fewer women when 11 people are picked is approximately 0.0332

To solve this problem, we can use the binomial distribution formula, which gives us the probability of getting k successes in n independent trials, where the probability of success in each trial is p.

In this case, our "success" is selecting a woman, and our "failure" is selecting a man. Since there are approximately equal numbers of men and women in the pool of applicants, the probability of selecting a woman is p = 0.5, and the probability of selecting a man is q = 1 - p = 0.5.

We want to find the probability of getting 2 or fewer women when 11 people are picked, so we need to calculate the probability of getting 0, 1, or 2 women.

P(0 women) = C(11,0) × (0.5)^0 × (0.5)^11 = 0.00048828125

P(1 woman) = C(11,1) × (0.5)^1 × (0.5)^10 = 0.00537109375

P(2 women) = C(11,2) × (0.5)^2 × (0.5)^9 = 0.02734375

where C(n,k) represents the number of ways to choose k items from a set of n items, which is also known as the binomial coefficient.

Therefore, the probability of getting 2 or fewer women when 11 people are picked is

P(0, 1, or 2 women) = P(0 women) + P(1 woman) + P(2 women)

= 0.00048828125 + 0.00537109375 + 0.02734375

= 0.0332

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Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.

Given the Parameters :

We could represent the expression to calculate the number of players thus :

Total amount raised = (Bus rent + (amount per player × number of Players))

1405.25 = 822.50 + 27.75x

1405.25 - 822.50 = 27.75x

582.75 = 27.75x

x = (582.75÷27.75)

x = 21 players

Therefore, the Number of players would be 21.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

2x = 10

Step-by-step explanation:

7 + 3x = 22

-7           -7

Subtract 7 from both sides (you are trying to get the variable alone, and to do that, you have to get every other number to 0. 7 - 7 = 0. BUT, whatever you do, you have to do to both sides.)

3x = 15

/3    /3

Divide both sides by three to get the variable alone.

x = 5

Now, plug in the value of x to the second equation and solve.

2(5) = ? --> 10

Answer:

5 shirts and 4 pairs of shorts

Step-by-step explanation:

160-1 set (12+25=37)=123

123-1 set=86

86-37=49

49-37=12

12-1 t-shirt=0

The length of the height of the wall directly opposite Freda is 459.65 feet

Given, the following parameters:

Angle above = 38 degrees

Angle below = 46 degrees

Base of the wall = 253 feet

Represent the height below her with x

So, we have

tan(46) = x/253

This gives

x = 253tan(46)

Represent the height above her with y

So, we have

tan(38) = y/253

This gives

y = 253tan(38)

The height of the wall h is the sum of the above heights

So, we have

h = 253tan(46) + 253tan(38)

Evaluate

h = 459.65

Hence, the height of the wall is 459.65 feet

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The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

29x-4

Step-by-step explanation:

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Using the z-distribution, it is found that the margin of error is of 0.059.

We are given the standard deviation for the population, hence the z-distribution is used.

It is given by:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, the parameters are:

Then:

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(M = 1.645\frac{0.25}{\sqrt{49}}\)

\(M = 0.059\)

The margin of error is of 0.059.

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The common difference in the arithmetic sequence is d = 6 (each term increases by 6 compared to the previous term). The first term is a_1 = 7.

To write the sum of the first 51 terms using sigma notation with the lower limit n=2, we need to find the upper limit of the summation. We can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

Setting a_n equal to the last term we want to include in the sum (which is the 51st term), we get:

a_51 = 7 + (51-1)6 = 307

So the upper limit of the summation is n = 51.

Now we can use sigma notation to write the sum of the first 51 terms:

∑(n=2 to 51) (7 + (n-1)6)

This notation means that we start the summation from n = 2 and add up the terms in the sequence for n = 2, 3, 4, ..., 51. The term inside the parentheses represents each term in the sequence, which is 7 plus the common difference multiplied by (n-1).

To evaluate this summation, we can simplify the expression inside the parentheses:

7 + (n-1)6 = 6n + 1

Now we can substitute this expression back into the sigma notation:

∑(n=2 to 51) (6n + 1)

Expanding the summation, we get:

(6(2) + 1) + (6(3) + 1) + (6(4) + 1) + ... + (6(51) + 1)

Simplifying, we get:

13 + 19 + 25 + ... + 307

To find the sum of this arithmetic series, we can use the formula:

S_n = (n/2)(a_1 + a_n)

where S_n is the sum of the first n terms, a_1 is the first term, and a_n is the nth term.

Plugging in the values, we get:

S_51 = (51/2)(7 + 307) = 7863

Therefore, the sum of the first 51 terms of the arithmetic sequence is 7863.