Will give brainliest

Answer:4.2

Step-by-step explanation:

14 times 70% subtracted from 4.2

The original price or cost price of a board game is 20.

The cost price is the price at which "goods are bought by merchant or retailer".

According to the question,

Joe paid 14.00 for a board game which is 70% of the original price or cost price.

In order to find cost price or original price. Let 'x' be the original price or cost price

70%  =  14

100% = x

x = \(\frac{1400}{70}\)           [cross multiplication]

=20

Hence, the original price or cost price of a board game is 20.

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Answer:

i will tell u if u give me brain liest

Step-by-step explanation:

To find the absolute minimum and maximum values on the interval [1, e^2] of Y = Xx − ln(X), we can use the First Derivative Test.Let Y = Xx − ln(X).

Then, dY/dX = xX^(x-1) - (1/X)

To find the critical points, we need to equate dY/dX to zero.xX^(x-1) - (1/X) = 0

=> xX^(x-1) = (1/X)

=> x = 1/e or

X = e^(1/e) (using Lambert W function)

Since the interval [1, e^2] contains e^(1/e), we can now find the minimum and maximum values of Y on the interval by comparing Y at the endpoints and at the critical point.x = 1: Y(1)

= 1 - ln(1)

= 1x

= e^(1/e): Y(e^(1/e))

= e^(1/e)^(e^(1/e)) - ln(e^(1/e))

= e - 1/e

=> The function does not have a maximum value on the interval [1, e^2] since the function Y tends to infinity as X tends to infinity.x = e^2: Y(e^2)

= e^(2e) - ln(e^2)

= e^(2e) - 2

The absolute minimum value of Y on the interval [1, e^2] is 1, which occurs at X = 1

The absolute maximum value of Y on the interval [1, e^2] is e^(2e) - 2, which occurs at X = e^2.

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The quotient obtained after performing division will be equal to x + 3 and the remainder is -2x + 11.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

The given expression for division is,

x² - 2) x³ + 3x² -4x + 5 ( x + 3

        (-)x³         -2x

                = 3x² - 2x + 5

                 (-)3x ²        -6

                        = -2x + 11    

So, the remainder is -2x + 11.

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Answer:1400.812

Step-by-step explanation:

Answer: 1,400.812

Step-by-step explanation: This looks like an addition problem

685.488 + 715.324 = 1,400.812

The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The height of a right triangular prism is 11/6 inches.

Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.

The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.

Then the surface area of the prism will be

\(\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2\)

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Answer:

119 inches

Step-by-step explanation:

cos 42° = \(\frac{b}{160}\)

b = 160 × cos 42° ≈ 119 in.

The probability that X is greater than 3Y is 1/2, and the probability that X + Y is greater than 3 is 1/8.

To find P(X > 3Y), we need to integrate the joint probability density function over the region where X is greater than 3Y. We set up the integral as follows:

P(X > 3Y) = ∫∫[2(x^2)y/81] dy dx

The integration limits are determined by the condition X > 3Y. From 0 ≤ x ≤ 3, we have 0 ≤ 3Y ≤ x, which gives us 0 ≤ Y ≤ x/3. So, the integral becomes:

P(X > 3Y) = ∫[0 to 3] ∫[0 to x/3] [2(x^2)y/81] dy dx

Simplifying the integral, we get:

P(X > 3Y) = ∫[0 to 3] [(x^2)/27] dx

Evaluating the integral, we find P(X > 3Y) = 1/2.

To find P(X + Y > 3), we integrate the joint probability density function over the region where X + Y is greater than 3. We set up the integral as follows:

P(X + Y > 3) = ∫∫[2(x^2)y/81] dx dy

The integration limits are determined by the condition X + Y > 3. From 0 ≤ y ≤ 3, we have 3 - y ≤ X ≤ 3. So, the integral becomes:

P(X + Y > 3) = ∫[0 to 3] ∫[3-y to 3] [2(x^2)y/81] dx dy

Simplifying the integral, we get:

P(X + Y > 3) = ∫[0 to 3] [2y/27] dy

Evaluating the integral, we find P(X + Y > 3) = 1/8.

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Step 1

Write the equation of a line in slope point form

Where;

Step 2

Find the equation to represent the cost of the topsoil.

The equation that represents the cost of the topsoil is

y=30x

Step 3

Find how the cost of the topsoil compares to the cost of the mulch.

There are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

To solve this problem, we can use a technique called "complementary counting." First, let's find the total number of ways to choose 5 books from a shelf of 12. This is simply 12 choose 5, which is:
12! / (5! × 7!) = 792
Now, let's count the number of ways to choose 5 books from a shelf of 12 where two adjacent books are chosen. We can do this by treating the adjacent books as a single unit, and then choosing 4 more books from the remaining 11. This gives us:
11 choose 4 = 330
So, there are 330 ways to choose 5 books from a shelf of 12 where two adjacent books are chosen.
Finally, we can subtract this number from the total number of ways to choose 5 books to get the number of ways to choose 5 books where no two adjacent books are chosen:
792 - 330 = 462
Therefore, there are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

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cos(a b) = 0.965 and sin(a b) = 0.674 .

sin a = 0.865

cos a = √(1 - sin² a)

cos a = sqrt(1 - 0.865²)

cos a = 0.502

Similarly, cos b = 0.529

sin b = √(1 - cos² b)

sin b = √(1 - 0.529²)

sin b = 0.854

Trigonometry identity

cos(a b) and sin(a b)

cos(a b) = cos ( 0.502 × 0.529 )

cos(a b) = cos 0.266

cos(a b)  = 0.965

Trigonometry identity

sin(a b) = sin (0.865 × 0.854 )

sin(a b) = sin (0.739)

sin(a b) = 0.674

Therefore, cos(a b) = 0.965 and sin(a b) = 0.674

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Answer:

I = $ 1,937.50

Step-by-step explanation:

Step-by-step explanation:

Check the attached photo out

To interpret this line plot with fraction addition and subtraction, we need to understand how to read the plot and how to perform the necessary calculations with fractions.

Looking at the line plot above, we can see that each horizontal line represents one pound, and each vertical line represents one baby's weight. The numbers on the vertical axis show the weights of the babies in pounds. For example, there are two babies that weigh 6 pounds, three babies that weigh 7 pounds, two babies that weigh 8 pounds, and so on. To find the difference in weight between the two heaviest babies, we need to first determine which babies are the heaviest. From the line plot, we can see that the two heaviest babies are the ones at the top of the plot, which both weigh 9 pounds. Converting the weight of the heaviest baby to a fraction with a denominator of 72 gives us 9/1 x 72/72 = 648/72. Converting the weight of the second heaviest baby to a fraction with a denominator of 72 gives us 8/1 x 72/72 = 576/72. Now that both weights are expressed as fractions with a common denominator, we can subtract them to find the difference: 648/72 - 576/72 = 72/72 = 1

Therefore, the difference in weight between the two heaviest babies is 1 pound, or 1/72 of a hundredweight (since there are 100 pounds in a hundredweight). The answer we were asked to provide is a proper fraction, so we can express this as 1/72. In summary, to interpret a line plot with fraction addition and subtraction, we need to understand how to read the plot to determine the weights of the babies, how to perform the necessary calculations with fractions, and how to express our answer as a proper fraction if required.

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Answer:

42 wins

Step-by-step explanation:

If there have been 48 losses, we know that there have been "6 sets" of 8 losses (48 / 8 = 6).

The ratio of 7 : 8 has occurred 6 times in this scenario.

This means that the total number of wins will also happen 6 times, because we have had 6 sets (the ratio for losses has occurred 6 times, meaning that the ratio for wins has also occurred 6 times)

So, to find the total number of wins, we can multiply 7 x 6 to find how many wins happened if we have created the 7 : 8 ratio 6 times

7 x 6 = 42

So, if we have had 48 losses, we have had 42 wins

The value that will always be within the upper and lower limits of a confidence interval for the question is the sample mean.

To explain this step-by-step:

First, you collect a sample from the population you want to study.

Next, you calculate the sample mean, which is the average of all the data points in your sample.

Then, you determine the standard deviation of the sample, which measures the dispersion of the data points around the sample mean.

After that, you choose a desired level of confidence (e.g., 95%) to estimate the range within which the true population mean is likely to fall.

Finally, you calculate the confidence interval using the sample mean, the standard deviation of the sample, and the sample size. The confidence interval provides a range of values within which the population mean is likely to be found with a certain level of confidence.

Since the confidence interval is constructed around the sample mean, the sample mean will always be within the upper and lower limits of the confidence interval. In contrast, the sample size, standard deviation of the sample, and population mean are not guaranteed to be within the confidence interval.

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Answer:

The measure of angle 5 is 102°

Answer:

We conclude that the function represents exponential growth.

Step-by-step explanation:

Given the function

\(y=a\left(\frac{8}{5}\right)^t\)

As the function is of the form

and base 'b' > 1

We know that when the base 'b' of the exponential function > 1, meaning those numbers will get bigger, we call it exponential growth.

As b=8/5 is bigger than 1.

i.e. 8/5 > 1

Thus, we conclude that the function represents exponential growth.

Answer:

434.9

Step-by-step explanation:

\(\frac{4}{3}\) × π (4.7)²

434.893

Answer:

434.893

Step-by-step explanation:

hope this helps

Answer:

15 Packages

Step-by-step explanation:

Let number of packages = x

For Nic

Nic sells advertising packages for a radio station. The company pays him $ 150 per week and they also pay him $ 75 for every package he sells.

Equation =

150 + 75x

His friend Asia works for the same radio station but she receives a salary only, which is $ 1 , 275per week.

We solve by equating

150 + 75x = 1275

75x = 1275 - 150

75x = 1125

x = 1125/75

x = 15 Packages

Answer:

Step-by-step explanation:

Givens

d = 2* r

d/2 = r

d = 10 cm

r = 5 cm

h = 25cm

Formula

V = pi * r^2 * h

Solution

V = 3.14 * 5^2 * 25

V = 1962.5 cm^3

Answer:

29011144

Step-by-step explanation:

Answer: x = 6, y = 132

Step-by-step explanation:

To find x:
1.) 9x - 6 = 7x + 6
2.) 9x = 7x + 12
3.) 2x = 12
4.) x = 6

To find y:
1.) 9(6) - 6 + y = 180
2.) 54 - 6 + y = 180
3.) 48 + y = 180
4.) y = 132

Problem 1

I'm assuming your teacher means "list all the possible rational roots".

If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.

If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:

1/1, 1/3, 5/1, 5/3

That list simplifies to

1, 1/3, 5, 5/3

That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well

-1, -1/3, -5, -5/3

Note: We can rewrite that list in bold into \(\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}\) to shorten it.

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

Problem 2

We'll follow the same idea as the previous problem

Factors of 36:  1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 4:  1, 2, 4

To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.

For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.

As the second table shows, we have a few repeats. The unique items here are:

1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4

We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.

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

Problem 3

Divide the factors of 15 over the factors of 5 to get

1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5

That list reduces to

1, 1/5, 3, 3/5, 5, 1, 15, 3

we can then toss out the duplicates to get

1, 3, 5, 15, 1/5, 3/5

Don't forget to include the negative values as well

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

Problem 4

The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.

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

Problem 5

There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Don't forget the negative values as well

The standard deviation of the sampling distribution of the sample mean would be approximately 2.8284

To determine the standard deviation of the sampling distribution of the sample mean, we will use the formula;

σ_mean = σ / √n

where σ is the standard deviation of the population that is 20 and n is the sample size (n = 50).

So,

σ_mean = 20 / √50 = 20 / 7.07

σ_mean  = 2.8284

The standard deviation of the sampling distribution of the sample mean is approximately 2.8284 it refers to that the sample mean would typically deviate from the population mean by about 2.8284, assuming that the sample is selected randomly from the population.

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The complete question is;

Another application of the sampling distribution of the sample mean Suppose that, out of a total of 559 full-service restaurants in Delaware, the number of seats per restaurant is normally distributed with mean mu = 99.2 and standard deviation sigma = 20. The Delaware tourism board selects a simple random sample of 50 full-service restaurants located within the state and determines the mean number of seats per restaurant for the sample. The standard deviation of the sampling distribution of the sample mean is Use the tool below to answer the question that follows. There is a.25 probability that the sample mean is less than

Hello there! :)

Hope it helps. Use the comment section to clarify any doubts.

Answered by

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the equation of line which passes through point  (10, 1)  and having slope 1/10 is y = x/10 + 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

Here, it is given that line passes though point (10,1) and having slope of 1/10.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 1/10(x-10)

y - 1 = x/10 - 1

y = x/10 + 0

Therefore, the equation of line which passes through point  (10, 1)  and having slope 1/10 is y = x/10 + 0.

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The expression f(x)=g(x) indicate the points in the graph where the two functions intersect, i.e. when they cross

In this graph, g(x) cuts f(x) in two points (-4,4) and (0,4)

Now f(x) is a contstant, it has no slope and is equal to 4, always.

Since g(x) cuts f(x) in point (-4,4), you can say that f(-4)= g(-4)

Second cut is in point (0,4), this means f(0)= g(0)

The correct option is number 2 f(-4)= g(-4) and f(0)= g(0)