Mr. Fernandez uses 7 boards that are 4 feet long and 6 inches wide to make on bookshelf. If he buys lumber in lengths of 8 feet with a width of 12 inches, how many pieces of lumber does he need to purchase to make 5 bookshelves?

5+x-12=2x-7

x=0.5

5+0.5-12=2(0.5)

He paid $5.3 for his dress shoe than for his tennis shoes before taxes

The original cost of a pair of dress shoes = $54

Dan received 1/4 off a pair of dress shoes

Then the off price is = 54×(1/4)

= $13.5

The final price = 54 - 13.5

= $40.5

The original price of tennis shoe = $44

The discount percentage = 20%

The discount amount = 44×(20/100)

= 44 × 0.2

= $8.8

The final price = 44 - 8.8

= $35.2

The difference in price = The final price of dress shoe - The final price of tennis shoe

= 40.5 - 35.2

= $5.3

Hence, he paid $5.3 for his dress shoe than for his tennis shoes before taxes

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Answer:

14

Step-by-step explanation:

To find g(f(3)), you will need to first find f(3) and then substitute that value into the function g(x).

To find f(3), substitute 3 for x in the equation for f(x):

f(3) = 3(3) - 2 = 9 - 2 = 7

Now substitute the value of f(3) into the equation for g(x):

g(f(3)) = g(7) = 2(7) = 14

Therefore, g(f(3)) = 14

Answer:

f(3)=7  g(3)=6

Step-by-step explanation:

f(x)=3x-2

f(3)=3(3)-2

f(3)=9-2

f(3)=7

g(x)=2x

g(3)=2(3)

g(3)=6

Answer:

6d + 3.25c = T

Step-by-step explanation:

D= Drinks

C= Candies

T= Total

Plz give brainliest

Answer:

D=drinks

C=candy

6d+3.25c=42.50

D+C=8

Step-by-step explanation:

Since the drinks costs $6 each, lets make D the number of drinks.

Since the candies cost $3.25 each, lets make C the number of candies

And since the total paid was $42.50, the equation for this would be...

6D+3.25C=42.50

and since they bought 8 drinks and candies all together, the equation would be..

D+C=8

The y-intercept for function f(x) has the same value as the x-intercept of f-inverse.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and co-domain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

There are several types of functions in math. Some important types are:

Injective function or One to one function: When there is mapping for a range for each domain between two sets.

Surjective functions or Onto function: When there is more than one element mapped from domain to range.

Polynomial function: The function which consists of polynomials.

Inverse Functions: The function which can invert another function.

As

we can see from figure that y-intercept for f(x)=3

and x-intercept for f inverse = 3

Hence,

         The y-intercept for function f(x) has the same value as the x-intercept of f-inverse

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Answer:

x-intercept

domain of f

Step-by-step explanation:

i just did it

The equation of the exponential function represented by the table y = 0.12x + 0.01

From the table choose two points

The first point = (1, 0.04)

The second point = (2, 0.16)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the function

The slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation

The slope of the line = (0.16 - 0.04) / (2-1)

= 0.12/1

= 0.12

From the table we can see that at x = 0 the value of y = 0.01, then the value of y intercept is 0.01

The slope intercept form is

y = mx + b

Substitute the values in the equation

y = 0.12x + 0.01

Hence, the equation of the exponential function represented by the table y = 0.12x + 0.01

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Answer:

2.5 seconds for plato

Step-by-step explanation:

2.5 seconds is Terrance’s ball in the air

We define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = \(ax^{2} +bx+c\), where a, b, and c are numbers and a cannot be 0.

Example of quadratic equation is y = \(x^2 + 3x + 1.\)

Given quadratic equation

\(-16t^{2} +40t =0\)

⇒ \(16t^{2} -40t=0\)

⇒ \(8(2t^{2}-5t)=0\)

⇒ \(2t^{2}-5t=0\)

⇒ \(t(2t-5)=0\)

⇒ \(t_{1} =0\) and \(t_{2}=\frac{5}{2} =2.5\)

T = \(t_{2}-t_{1} =2.5-0 = 2.5\)

2.5 seconds is Terrance’s ball in the air

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Using the identities to find values of the sine and cosine functions of the function the angle measure,

cos 2x = 1

sin 2x = -8√17/17.

Given that tan x = -4, we can determine the values of cos 2x and sin 2x.

Using the identity tan x = sin x / cos x, we have sin x = -4 cos x.

Now, we can use the Pythagorean identity sin² x + cos² x = 1 to solve for cos x:

(-4 cos x)² + cos² x = 1

16 cos² x + cos^2 x = 1

17 cos² x = 1

cos² x = 1/17

cos x = ± √(1/17)

Since we know that cos x > 0, we take cos x = √(1/17).

Next, we can find sin x using sin x = -4 cos x:

sin x = -4 × √(1/17) = -4/√17 = -4√17/17.

Now, we can find cos 2x and sin 2x using the double angle identities:

cos 2x = cos² x - sin² x = (1/17) - (-16/17) = 17/17 = 1

sin 2x = 2 sin x cos x = 2 × (-4√17/17) × √(1/17) = -8√17/17.

Therefore, cos 2x = 1 and sin 2x = -8√17/17.

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Answer:

1st slot: 12

2nd slot: 48

Step-by-step explanation:

Hope this helps!

Answer:

Multiply the length times the width

Step-by-step explanation:

First one finds diameter, third one finds diameter, and fourth one finds triangle. The second one finds the area of a rectangle.

Answer:

I think it is b or length times width

Answer:

Step-by-step explanation:

The first 5 multiples of 37 are 37, 74, 111, 148, 185. The sum of the first 5 multiples of 37 is 555 and the average of the first 5 multiples of 37 is 111. Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370 and so on.

Answer:

40 %

Step-by-step explanation:

Answer:

The friend is correct.

Step-by-step explanation:

\(\frac{35}{100} =\frac{x}{20}\)

cross multiply:

700 = 100x

700/100 = 100x/100

7 = x

Your friend is correct. The method they used to solve is also a valid way of solving.

hope this helps!

The function f(x) is of degree 0.

To determine the degree of the function f(x), we need to examine the exponents of the variables involved. In this case, the variables are x and y.

The degree of a term in a polynomial function is determined by adding the exponents of its variables. If a term has no variables, it is considered to have an exponent of 0.

Looking at the function f(x) = \(\frac{x^{2} e^{\frac{y}{x}}+y^{2}}{x y}\), we can break it down into two terms: \(x^{2} e^{\frac{y}{x}}\) and \(y^{2}\).

The first term, \(x^{2} e^{\frac{y}{x}}\), contains the variable x raised to the power of 2 and the exponential term \(e^{\frac{y}{x}}\). The exponent of x is 2, and the exponent of y is \(\frac{1}{x}\) in the exponential term. When we add these exponents, we get 2 + \(\frac{1}{x}\).

The second term, \(y^{2}\), only contains the variable y raised to the power of 2. There is no x variable involved in this term.

Since the exponents of x in both terms do not match, we cannot add them together. Therefore, the function f(x) does not have a single degree.

In conclusion, the function f(x) does not have a degree in the traditional sense because the exponents of the variables x and y are not consistent across all terms. Therefore, the answer is D. None of the above.

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Answer: 7/21 is the answer because 7 * 2 = 14 and 21*2=42

Step-by-step explanation:

Answer:

7/21

Step-by-step explanation:

This Correct Answer

Answer:

422.39

Step-by-step explanation:

\(A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39\)

use a calculator for the above and round

Answer:48

Step-by-step explanation:

The value of the sample statistic is used to estimate the value of the population parameter.

The population parameter is found by using the population statistic to predict the population estimate.

This is because the sample statistic is based on the sample produced from the population so it can therefore be used to find out more on the population.

Options for this question are:

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The following can be answered by the concept of linearly independent.

1. This equation holds for all values of x only if c1 = c2 = 0. Therefore, y1= cos(x+pi) and y2= sin x are linearly independent.

2. This equation holds for all values of x only if c1+c2 = 0 and c2 = 0. Therefore, the only solution is c1=c2=0, and y1= x and y2= x+1 are linearly independent.

1- To determine if y1= cos(x+pi) and y2= sin x are linearly independent or linearly dependent, we need to check if there exist constants c1 and c2 (not both zero) such that c1y1 + c2y2 = 0 for all values of x.

c1(cos(x+pi)) + c2(sin x) = 0

Using the trigonometric identity cos(x+pi) = -cos x and rearranging, we get:

-c1(cos x) + c2(sin x) = 0

Dividing by sin x, we get:

-c1(cot x) + c2 = 0

This equation holds for all values of x only if c1 = c2 = 0. Therefore, y1= cos(x+pi) and y2= sin x are linearly independent.

2- To determine if y1= x and y2= x+1 are linearly independent or linearly dependent, we need to check if there exist constants c1 and c2 (not both zero) such that c1y1 + c2y2 = 0 for all values of x.

c1(x) + c2(x+1) = 0

Expanding and simplifying, we get:

(c1+c2)x + c2 = 0

This equation holds for all values of x only if c1+c2 = 0 and c2 = 0. Therefore, the only solution is c1=c2=0, and y1= x and y2= x+1 are linearly independent.

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Ethan makes in a week = $812.5

Given :

Total sales for the week = $1250

a guaranteed salary = $500

paid a commission on top of his base salary (Percentage commission) = 25%

Time and work problem:

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work

If a piece of work is done in x number of days, then the work done in one day = 1/x

Total Wok Done = Number of Days × Efficiency

Efficiency and Time are inversely proportional to each other

X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x

Solution :

Amount of commission earned = 25% of $1250

= 25/100 × $1,250

= 0.25 × 1250

= $312.5

Total earnings = Base salary + Amount of commission earned

= $500 + $312.5

= $812.5

Ethan makes in a week = $812.5

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Answer:

Step-by-step explanation:

The probability mass function of the hypergeometric distribution can be written as:

P(X = x) = (M choose x) * (N-M choose n-x) / (N choose n)

n = total number of oranges in the group from which the 50 pieces are selected
m = total number of successes (i.e. oranges) in the group from which the 50 pieces are selected
n [ choose ] m = number of ways to choose m oranges out of n oranges in the group
success [ choose ] = the desired outcome of selecting an orange in each trial (i.e. success)
the key components of a hypergeometric distribution. In this case, we are randomly selecting 50 pieces, and the random variable X represents the number of oranges selected. Here are the components:

1. Population size (N): The total number of pieces in the population.
2. Number of successes in the population (M): The total number of oranges in the population.
3. Sample size (n): The number of pieces you are selecting, which is 50 in this case.
4. Number of successes in the sample (x): The number of oranges selected in the sample, represented by the random variable X.

The probability mass function of the hypergeometric distribution can be written as:

P(X = x) = (M choose x) * (N-M choose n-x) / (N choose n)

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Answer:

Step-by-step explanation:

x + 4 + 2x + 23 = 90

3x + 27 = 90

3x = 63

x = 21

x + 4 = 21 + 4 = 25 for <1

2(21) + 23  = 42 + 23 = 65 for <2

There are 12 players of right handed, according to the question.

What do you mean by percentage?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

According to data in the given question,

We have given data:

A local little league has a total of 60 players of whom 20% are right-handed.

Let x be the total number of players that are right-handed.

The value of x can be found as follow:

x = 20% of 60

x = (20/100)60

x = 0.2(60)

x = 12

Therefore, the total number of players that are right-handed is 12, if the local little league has a total of 60 players of whom 20% are right-handed.

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Answer:

(A)

Step-by-step explanation:

(D) is already out since the teachers may have favorites or unfavorites.

(C) is already out since you can't be in all the halls at once.

There is only (A) and (B).

I think it's (A) and not (B) because it might not be a classes/grades library day.

Answer:

8

Step-by-step explanation:

Sum of length on bottom side: 3 + 1 = 4

Sum of lengths of top side: x

Larger length on bottom side: 3

Larger length on top side: 6

Since the two lines are cut by three parallel lines, the segment cut off are of proportional lengths.

4/x = 3/6

4/x = 1/2

x = 8

Answer:  Choice B

There is not convincing evidence because the interval contains 0.

========================================================

Explanation:

The confidence interval is (-0.29, 0.09)

This is the same as writing -0.29 < p1-p1 < 0.09

The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09

Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.

Therefore, it is possible that the population proportions are the same.

The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.

There is not convincing evidence because the interval contains 0.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

We have, the confidence interval as (-0.29, 0.09)

and, the same as writing -0.29 < p1-p1 < 0.09

Now, as the interval is 0 then

p1 - p2 = 0

p1 = p2

There is a chance that the population ratios are identical.

So, there isn't convincing evidence.

For us to have strong evidence that the population proportions are different, the ends of the confidence interval must be either positive together or negative together.

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Answer:

125 alien eyes.

Step-by-step explanation:

5 flying saucers

5 aliens/flying saucer (5x5=25 aliens)

5 eyes/alien (25x5=125 eyes)