Find the derivative of the function. = -3 (3x² + 7) - dy dx (Type an expression using x as the variable.) =

Answer:

x = -11, y = -2

Step-by-step explanation:

There's two equations. Let's say the first number is x, and the second number is y. Then, there is 4y-3 = x, and 2y-x = 7. We plug in 4y-3 for x into the second equation, and we get 2y - (4y-3) = 7. Solving more gets us -2y + 3 = 7. thus, -2y = 4, meaning y = -2. We plug back into the second equation, getting -4 - x = 7. This 11 = -x, or x = -11.

The value of segment x is determined as 16.

The value of segment x is calculated by applying intersecting chord theorem as follows;

The intersecting chord theorem, also known as the power of a point theorem, states that;

If two chords of a circle intersect inside the circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

The value of segment x is calculated as follows;

(x) (15) = (10) (24)

15x = 240

x = 240/15

x = 16

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A straight line can be written in the form of a two variable linear equation.

The equation of line passing through point (4,0) is  y = -1 / 17 x + 4.

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

Given that,

The line is passing through the point (4,0).

It is parallel to the line passing through (7, -3) and (-10. -2).

The slope of the line passing through (7, -3) and (-10. -2) is

m₁ = (-2-(-3)) / (-10 - 7)

m₁ = - 1 / 17

Since the slope of two lines parallel to each other is equal, the slope of the line passing through point (4,0) is - 1 / 17.

Thus, the equation of line passing through point (4,0) can be written as,

(y - 4) / (x - 0) =  - 1 / 17

=> y = -1 / 17 x + 4

Hence, the equation of the given line is y = -1 / 17 x + 4.

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The profit function is: 40Q - 350000

The break even point in terms of quantity is: 8750

Break even Revenue is: 875000

Determine the total cost of all purchased units.

Divide the total cost by the number of units purchased to get the cost. Calculate the final price using the sales price formula.

Selling price = cost + profit margin.

As par given that sales =25,000

Selling price =br .100

TVC = br 1500000

T F C=b r 350,000. then

Revenue = 25000 * br. 100

Revenue = br 2500000

cost = T V C + TFC

Cost = br. 1850000

Thus:

Profit = Revenue - Cost

Profit = 2500000 - 1850000

Profit = br. 650000

1) TR = QSp = 100Q

TC= TVC + TFC

TVC= (VC)Q= 1,500,000

VC * 250000 = 1500000

VC =  6O

TC= 60Q + 350000

Profit= Q(Sp - Vc) - Fc

(100 - 60)Q - 350000

40Q - 350000

2. BEq = FC/SP - Vc

= 350000/40

= 8750

4. Break even Revenue = BeQ * Sp = 8750* 100=875000

5. Sales volume = profit + TC= 500000 + 1,850,000= 2350000

Quantity of sales = sale volume / Sp = 2350000/100= 23500

6. Profit = sales - Tc = 2,000,000- 1850000=150,000

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Answer:

29°

Step-by-step explanation:

If you me to explain this just let me know.

Answer:

$3

Step-by-step explanation:

16 oz in a pound

Therefore, the original number is 10x + y = 10(10) + 7 = 107.

Given that the sum of the digits is seventeen, we have the equation:

x + y = 17 (equation 1)

The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.

According to the given information, we have the equation:

10y + x = 5x + 30 (equation 2)

To solve the system of equations, we can substitute equation 1 into equation 2:

10(17 - x) + x = 5x + 30

Expanding and simplifying:

170 - 10x + x = 5x + 30

170 - 30 = 5x + 10x - x

140 = 14x

x = 10

Substituting the value of x back into equation 1:

10 + y = 17

y = 7

Therefore, the original number is 10x + y = 10(10) + 7 = 107.

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Answer:

Step-by-step explanation:

Use two given points (-6, -3) and (6, -7) to find equation of the line.

The slope:

The y - intercept is also visible on the graph (0, -5):

The line is:

Answer:

\( \huge{ \boxed{y = - \frac{1}{3} x + 1}}\)

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the graph to find the equation of the line we must first find the slope

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

Using the points (-6 , -3) and (6,-7) we have

\(m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ \)

Next we use the slope that has been found and one of the points to find the equation of the line

To find an equation of a line when given the slope and a point we use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) is the point

From the question using slope -1/3 and point (-6,3) we have

\(y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: \)

The equation of the line in slope-intercept form is

\(y = - \frac{1}{3} x + 1 \\ \)

Hope this helps you

Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

The variance of the scores in a sample tends to be less than or equal to the variability of the scores in the population from which the sample was obtained.

When we take a sample from a population, it is expected that the variability within the sample will be somewhat representative of the variability in the population. However, due to the random nature of sampling, there is a chance that extreme scores or outliers in the population may not be fully captured in the sample, resulting in slightly reduced variability. Therefore, the sample variance typically provides an estimate that is close to the population variance but is generally smaller due to the potential sampling variability.

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Answer:

16

Step-by-step explanation:

x= 9

x×2=2x

9×2=18

18-2= 16

Answer:

D

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = lbh ( l is length, b breadth and h is height )

Here l = 7, b = 2 and h = 4 , thus

V = 7 × 2 × 4 = 56 in² → D

To make 100 Xs and 200 Ys, you would need using product tree:

100 Cs for the Xs

400 Cs for the Ys

800 Es

800 Ds

To determine the appropriate single-level trees based on the given product tree, we need to break down each level into its constituent components. Here's the breakdown:

Level 1:

X requires 1 C (C -> X: 1:1 ratio)

Y requires 2 C (C -> Y: 2:1 ratio)

Level 2:

Each C requires 2 E (C -> E: 2:1 ratio)

A requires 2 E (E -> A: 2:1 ratio)

D requires 1 E (E -> D: 1:1 ratio)

So, let's construct the single-level trees based on the given requirements:

To make 100 Xs:

100 Xs require 100 Cs (X -> C: 1:1 ratio)

Each C requires 2 Es (C -> E: 2:1 ratio)

Each E requires 1 D (E -> D: 1:1 ratio)

So, the single-level tree for 100 Xs would look like this:

100 Xs -> 100 Cs -> 200 Es -> 200 Ds

To make 200 Ys:

200 Ys require 400 Cs (Y -> C: 2:1 ratio)

Each C requires 2 Es (C -> E: 2:1 ratio)

Each E requires 1 D (E -> D: 1:1 ratio)

So, the single-level tree for 200 Ys would look like this:

200 Ys -> 400 Cs -> 800 Es -> 800 Ds

Therefore, to make 100 Xs and 200 Ys, you would need:

100 Cs for the Xs

400 Cs for the Ys

800 Es

800 Ds

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A circle has a center at point A ( 3, − 1 ) and a point on the circle is located at R ( 5,4 ).  The location of S is (1, -6).

To find the location of S on the diameter RS, we need to first find the midpoint of RS, which will be the center of the circle. Then we can find the coordinates of S by using the distance formula.

The midpoint of RS is the average of the coordinates of R and S:

((5 + x)/2, (4 + y)/2)

Since the midpoint is the center of the circle, it has the same coordinates as point A:

((5 + x)/2, (4 + y)/2) = (3, -1)

We can solve this system of equations for x and y:

(5 + x)/2 = 3

(4 + y)/2 = -1

Solving for x and y, we get:

x = 1

y = -6

Therefore, the location of S is (1, -6).

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Answer:

The town population increase by 25%

Step-by-step explanation:

Btw can u please mark me brainliest, I need 3 more to rank up

Answer: 25%

Step-by-step explanation:

20000*1.25=25000

The percentage of scores that are between 42 and 58 on this standardized test is calculated to be 95.44%

To find the percent of scores between 42 and 58, we need to first calculate the z-scores for each of these values using the formula:
z = (score - mean) / standard deviation
For a score of 42:
z = (42 - 50) / 4 = -2
For a score of 58:
z = (58 - 50) / 4 = 2
Next, we can use a z-table to find the area under the normal distribution curve between these two z-scores. Since the table gives us the area to the left of a z-score, we need to subtract the area to the left of -2 from the area to the left of 2:
area between -2 and 2 = area to the left of 2 - area to the left of -2
= 0.9772 - 0.0228
= 0.9544
So approximately 95.44% of scores are between 42 and 58 on this standardized test.

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Answer:

Step-by-step explanation:

Use table for f(x) related questions and equation for g(x) related questions and both for the last one.

Answer:

x=-1

Step-by-step explanation:

f(x)=f(x)

-x+3=4

Answer:

Resultado es dos (2)

Answer:

2

Step-by-step explanation:

To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible.

To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible. So, we need to minimize the sum of and . Now, let's use calculus to find the minimum value of the sum.To find the minimum value, we have to find the derivative of the sum of and , i.e. f(x) with respect to x, which is given by f '(x) as shown below:

f '(x) = 1/x^2 - 1/(1-x)^2

We can see that this function is defined on the closed interval [0, 1]. The reason why we are using the closed interval is that x is a positive number, and both endpoints are included to ensure that we cover all positive numbers. Therefore, the problem requires optimization over a closed interval. This means that the minimum value exists and is achieved either at one of the endpoints of the interval or at a critical point in the interior of the interval.

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The new volume of the BigMini tablet is about 22.18 cubic inches.

The volume of a three-dimensional object, such as a tablet, is calculated by multiplying its length, width, and height.

Assuming that the scale factor of 1.25 is applied uniformly to all three dimensions of the iPad Mini 2, the new dimensions of the BigMini tablet would be:

Length: 1.25 x 7.87 inches = 9.84 inches

Width: 1.25 x 5.3 inches = 6.63 inches

Height: 1.25 x 0.29 inches = 0.36 inches

The new volume of the BigMini tablet can be calculated as:

9.84 x 6.63 x 0.36 = 22.18 cubic inches

Therefore, the new volume of the BigMini tablet would be approximately 22.18 cubic inches.

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The data that Wade and Riley want to compare is numerical data.

As Wade and Riley ride their bikes to school each morning and want to compare who takes the longest time to ride their bike to school through the week, such data will be considered numerical data. This is because they are comparing the amount of time it takes for each of them to ride their bikes to school and time is a numerical measurement, and therefore the data they are comparing is numerical.

To further explain, numerical data is data that can be measured or counted, such as time, weight, height, etc. Categorical data, on the other hand, is data that can be placed into categories or groups, such as gender, race, or favorite color. In this case, Wade and Riley are measuring the amount of time it takes for them to ride their bikes to school, which is a numerical measurement. Therefore, the data they are comparing is numerical.

Note: The question is incomplete. The complete question probably is: Wade and Riley ride their bikes to school each morning. They want to compare who takes the longest time to ride their bike to school through the week. Is the data numerical or categorical?

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Answer:

rational

Step-by-step explanation:

Answer:

Rational number

Step-by-step explanation:

The definition of a rational number is "A number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." The definition of an irrational number is "All the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers." This means 19/7, and all improper fractions, are rational numbers.

The approximate P-value for this test is D. 0.01267.

From the information, Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times.

The p(cap) will be:

= 8 / 80

= 0.1

The z score will be:

= (0.1 - 0.2) / (✓0.2(0.8)/80

= -0.1 / ✓0.0019

= -2.236

= -2.24

By using the distribution table after getting the z score, the p value is 0.01267.

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The critical points of the given autonomous system are (0, 0) and (3/5, 3/5).

The given autonomous system is x′ = 5x² − 3y,

y′ = x − y.

We have to find all critical points of the system.

The critical points are the points at which the solutions of the differential equations of the system either converge to or diverge from. So, we need to find out the points (x, y) at which x′ = y′ = 0.

To find the critical points, we equate x′ and y′ to zero, and solve the equations:

5x² − 3y = 0   ...(1)

x − y = 0         ...(2)

Solving equation (2), we get: x = y

Putting this value of y in equation (1), we get:

5x² − 3x = 0

⇒ x(5x − 3) = 0

⇒ x = 0, 3/5

Thus, the critical points are (0, 0) and (3/5, 3/5).

Hence, the answer is: (0, 0), (3/5, 3/5).

Conclusion: The critical points of the given autonomous system are (0, 0) and (3/5, 3/5).

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Answer:

see below

Step-by-step explanation:

perimeter = 2*(6.25x - 3.5 + 3.5 x +6) =2(9.75x+2.5) = 19.5x+5

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

The experimental probability that at least two heads would be gotten is 11 / 25.

The theoretical probability that at least two heads would be gotten is 1/2.

Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability = number of times at least two heads would be gotten / total number of tosses

( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25

Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes

4 / 8 = 1/2

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Step-by-step explanation:

a. When divided, -4/-5 will equal 4/5.

Negative Rule: When a negative number is divided by a negative number, the quotient is positive.

4/5 is the only correct option.

b. When divided, 3/-10 will still represent 3/-10.

Mixed Rule: When a positive number and a negative number divide, the quotient is negative.

-3/10 and (-3/10) are the correct choices. (First and Last)

An isosceles triangle has two congruent sides, and a right triangle has an angle measuring 90°.

If we draw a right triangle, where each leg has the same length, we have:

Since both properties can be put together, so Ryan's statement is correct, since we can draw a right isosceles triangle.