Marta has collected 42 apples, 60 apricots and 90 cherries. She wants to divide them into identical piles using all of the fruit and then give a pile to some of her friends. What is the largest number of piles she can make?

The marginal cost of producing the next unit of output always affects the average total cost, so the marginal cost curve always intersects the average total cost curve at its lowest point.

The difference in overall production costs caused by creating or producing one more unit is known as the marginal cost.

By producing at the point where marginal cost (MC) equals marginal revenue, a business can optimize its earnings (MR).

Because fixed costs are fixed regardless of output levels, larger production spreads the total fixed cost over more units, resulting in a lower fixed cost per unit.

Production levels affect variable costs, so increasing the number of units will increase those costs.

Companies need to be aware of the situations when expanding production entails step costs as a result of shifting relevant ranges.

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Approximately 7 employees took a break longer than 49 minutes.

We have,

In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.

The line within the box represents the median.

The "whiskers" extend to the minimum and maximum values, excluding any outliers.

Given the information provided:

Median = 41

Q1 = 37

Q3 = 49

Largest = 55

Smallest = 35

Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.

Now,

The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:

25% of 27 employees

= (25/100) x 27

= 6.75

Since we cannot have a fractional number of employees, we round up to the nearest whole number.

Therefore,

Approximately 7 employees took a break longer than 49 minutes.

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\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer:

26

Step-by-step explanation:

h=21+5

h=26

The value of h will be 26, when p =7.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

The method  in which, the value of one variable from one equation is substituted in the other equation. So that, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. This method is called substitution method.

According to the given question we have

A linear equation in two variable

h = 3p + 5

So, the value of h when p = 7

Substitute, p = 7  in h = 3p + 5

⇒ h = (3 × 7) + 5

⇒ h = 21 + 5

⇒ h = 26

Hence, the value of h will be 26, when p =7.

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Answer:

a) 1.8 meters

b) 5.4 meters

Step-by-step explanation:

A) Explanation: Average man is between 1.5-2.0 meters which will give you 1.8 meters.

B) Explanation: 1.8 times 3= 5.4

Hope this helps!!

Answer:

\(j = 7 \pm \sqrt{44}\)

Step-by-step explanation:

First, move the constant term to the other side of the equation.

\(j\² + 14j + 5 = 0\)

\(j\² + 14j = -5\)

Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.

\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)

\(j^2 + 14j + (7)^2 = -5 + (7)^2\)

\(j^2 + 14j + 49 = -5 + 49\)

\(j^2 + 14j + 49 = 44\)

Now, we can factor the left side as a square.

\((j+7)(j+7) = 44\)

\((j+7)^2 = 44\)

Finally, we can take the square root of both sides to solve for j.

\(\sqrt{(j+7)^2} = \sqrt{44\)

\(j+7=\pm\sqrt{44}\)

\(\boxed{j = 7 \pm \sqrt{44}}\)

Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:

if \(x^2 = a^2\),

then \(x = \pm a\)

because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).

The value of y, given that Triangle FEG is similar to Triangle IHJ is 10.

Seeing as Triangle FEG is similar to Triangle IHJ, we can assume that angle EGF is the same as angle HJ1.

This means that 5 y + 8 is equal to 58 degrees.

The value of y is therefore :

5 y + 8 = 58

5 y = 50 - 8

y = ( 50 - 8 ) / 5

y = 50 / 5

y = 10

In conclusion, given the two similar triangles and the angles EGF and HJI, the value of y can be found to be 10.

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Reason:

This graph passes the vertical line test, so it is a function.

The vertical line test is where we try to pass a single vertical line through more than one point on the curve. If such a thing is possible, then we say the curve fails the vertical line test and it's not a function.

Graph D for instance can have a vertical line through x = 1 and intersect the curve at (1,4) and (1,-4) simultaneously. The input x = 1 leads to multiple outputs (y = 4 and y = -4). Graph D fails the vertical line test for this very reason, and it is not a function. Graphs A and B are similar stories. Any vertical line itself is automatically not a function.

To have a function, any x input in the domain must lead to exactly one and only one y output in the range.

---------

Notice with graph C it is impossible to have a single vertical line intersect more than one point on the curve. So this is why graph C passes the vertical line test. Each input leads to exactly one output.

Answer:

Rectangular Prism

Step-by-step explanation:

Easy Peazy

Answer:

64

Step-by-step explanation:

64 is both a perfect square and a perfect cube.

8*8=64

4*4*4=64

Answer:

hello!

Step-by-step explanation:

lets solve this,

64.

8x8= 64.

4x4x4= 64.

Answer:

C

Step-by-step explanation:

substitute X=7 in 2x+8, answer 22

substitute X=5, answer 18

option C

substituting X=7 in (X+4)+(X+4) also gives 22

substituting X=5 also gives 18

Answer:

C. (x+4) + (x+4).

Step-by-step explanation:

Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.

A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).

The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.

Given,

the slope of line = - 4 and point = (2,-8)

The equation of line = y - yo = m (x - xo)

where m = slope and x,y are coordinates

y + 8 = - 4 (x - 2)

y + 8 = - 4x + 8

y = - 4x

Therefore, the correct answer is option A, y+ 8 = -4(x-2)

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To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:

n(t) = n0 * e^(kt)

Where:

n(t) is the population after t hours,

n0 is the initial population size,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant.

We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:

\(9500 = 1100 * e^(k*1)\)

To find k, we can divide both sides by 1100:

9500/1100 = e^k

Now, we can solve for k by taking the natural logarithm (ln) of both sides:

ln(9500/1100) = ln(e^k)

ln(9500/1100) = k

Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):

\(n(t) = 1100 * e^(ln(9500/1100) * t)\)

To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:

\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)

To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:

\(20,000 = 1100 * e^(ln(9500/1100) * t)\)

Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.

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Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

Answer:

30 degrees

Step-by-step explanation:

Hope this helped and Hi!!!!!!!!! Give brainliest plz

Answer:

7065 cm^3

Step-by-step explanation:

tell me if you got it wrong

Answer:

Step-by-step explanation:

Step1 : Verify Sn is valid for n = 1

On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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Answer:

here is the ratio  1 : 1.25   (sharks: dolphins)

Step-by-step explanation:

The ratio of sharks to dolphins is 4 : 5

Suppose the  real measurements were "a" and "b"

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Given Number of sharks = 4

Number of dolphins = 5

Therefore, the ratio of sharks to dolphins

= 4 : 5

Or  1 : 1.25

Number of animals = number of sharks + number of dolphins

Number of animals = 4 + 5 = 9

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The smallest whole numbers that makes the statement true are:

(a) 41 - 9 ≡ 2 (mod 5)

(b) 17 + 8 ≡ 4 (mod 7)

Let a, b and m be integers. Then a is said to be congruent to b modulo m if m divided a-b. That is,

a ≡ b(mod m) if and only if m divided a-b.

Also here, if b is the smallest integer satisfying this relation, then b is the remainder when a is divided by m.

(a) So for  41 - 9 ≡   (mod 5)

⇒ 32 ≡    (mod 5)

The smallest whole number satisfying this congruence is the remainder when 32 is divided by 5 which is 2.

That is,  41 - 9 ≡ 2 (mod 5)

(b) Similarly for 17 + 8 ≡   (mod 7)

⇒ 25 ≡   (mod 7)

The smallest whole number which makes this statement true is the remainder when 25 is divided by 7, which is 4.

Hence, 17 + 8 ≡ 4 (mod 7)

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Answer:

Θ = 84°

Step-by-step explanation:

using the identity

cosx = sin(90 - x) , then

cos6° = sin(90 - 6)° = sin84°

that is Θ = 84°

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

Whats our options?

Step-by-step explanation:

Answer:

you have to show the statements.

Step-by-step explanation:

Answer:

According to your formula, she's 12

Step-by-step explanation:

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Answer: 12 units²

Finding what formula to use:

      I can see that we have pairs of points with the same x-coordinate values and the same y-coordinate values. This leads me to believe the polygon given is a rectangle. To check, I will graph the points given. After graphing, it appears I was correct! Now we can solve this problem.

-> See attached

Step-by-step explanation:

Since this is a rectangle, we will use A = L * W

A = L * W

A = 4 * 3

A = 12

A = 12 units²

       The area of the given polygon is 12 units².

Your answer is 1.134 :)