How do I solve this equation?

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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The surface area of a polygon will be 4LW + 2W² square units.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

If the two sides of the rectangle become the same that is W = H. Then the surface area of the prism is given as,

SA = 2(LW + W × W + WL)

SA = 2(2LW + W²)

SA = 4LW + 2W²

The surface area of a polygon will be 4LW + 2W² square units.

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The height of the all after 2 secs is 86 feet

Given the height in feet above the ground was given by the following function h(t) = -16t^2 + 75t

where:

t is the number of seconds since the ball was punted.

If the value of t = 2s, hence;

h(t) = -16t^2 + 75t

h(2) = -16(2)^2 + 75(2)

h(2) = -64 + 150
h(2) = 86

Hence the height of the all after 2 secs is 86 feet

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Answer:

D) 50s + 65c ≤ 3000

Step-by-step explanation:

50s represents the stools and 65c represents the chairs

you can't go over 3000 and so this is the only answer that makes sense.

Answer:

The answer is D) 50s + 65c ≤ 3000!

Step-by-step explanation:

I just took the test and i got 100%. Hope this helps! :]

1. The predicted trade for each pair using the gravity model is as follows:

  - Pair 1 (US-UK): Approximately $312.56 billion

  - Pair 2 (US-CAN): $700 billion

  - Pair 3 (US-MEX): $840 billion

  - Pair 4 (Vietnam-Thailand): $7.056 billion

Now, let's move on to the next questions.

2. The trade between the US and Mexico is predicted to be 20% higher than the trade between the US and Canada.

This is primarily due to the difference in GDP between Mexico and Canada. Despite the distance between the US and both countries being the same, Mexico's higher GDP leads to a higher predicted trade volume according to the gravity model. The gravity model suggests that larger economies tend to trade more with each other, all else being equal.

Now, let's move on to the third question.

3. For the trade between Vietnam and Thailand to double (i.e., increase by 100%), Vietnam's GDP would need to grow by approximately 100%.

  To increase its trade with Vietnam by $5 billion, Thailand's GDP would need to grow by approximately 70.86%.

  If both Vietnam and Thailand's GDPs fell by 5% in 2022 due to a resurgent pandemic, their trade would decrease by approximately 9.75%.

Answer:

There is no specific linear equation for this scenario because there is only one possible length for the pole.

Step-by-step explanation:

y = (4/3)x + 2

Equation: y = mx + b

m = slope, b = y-intercept

Answer:

4x-3y=-6

Step-by-step explanation:

We can write the slope-intercept equation as:

y=4/3x+2

where 4/3 is the slope and 2 is the y-intercept.

In standard form (Ax+By=C) where A is a positive integer. We would move the 4/3x to the left.

y=4/3x+2

-4/3x+y=2

Multiply the whole equation by negative 3.

4x-3y=-6

Answer:

Step-by-step explanation:

To find the perimeter of an equilateral triangle is equalled to 3s.

35 x 3

105

Answer:

We cant help with this question

Step-by-step explanation:

there is no picture for reference

Answer:

See below ~

Step-by-step explanation:

Question 1

⇒ -7x - (8x + 16) = -1

⇒ -7x - 8x - 16 = -1

⇒ -15x = 15

⇒ x = -1

⇒ y = 8(-1) + 16 = 8

⇒ Solution = (-1, 8)

Question 2

⇒ 3x + 4(-3x - 18) = 0

⇒ 3x - 12x - 72 = 0

⇒ -9x = 72

⇒ x = -8

⇒ y = -3(-8) - 18 = 6

⇒ Solution = (-8, 6)

Question 3 (not clear)

Question 4

⇒ -8x - 7(6x) = 0

⇒ -8x - 42x = 0

⇒ -50x = 0

⇒ x = 0

⇒ y = 6(0) = 0

⇒ Solution = (0, 0)

Question 8

⇒ 2x - 6(-5x - 19) = -14

⇒ 2x + 30x + 114 = -14

⇒ 32x = -128

⇒ x = -4

⇒ y = -5(-4) - 19 = 1

⇒ Solution = (-4, 1)

Answer:

\(\frac{1}{16}\)

Step-by-step explanation:

We will start by calculating the probability of drawing a spade from one deck, and then square it since we need to get the chance of getting two spades. We know there are 13 spades in a deck, out of 52 cards, giving us:

\(\frac{13}{52}\)

Which can be simplified to :

\(\frac{1}{4}\)

Then, we will square this fraction since we need two spades in a row:

\(\frac{1}{4} * \frac{1}{4} = \frac{1}{16}\)

So the probability is \(\frac{1}{16}\).

Hope this helped!

Answer:

1. First, add the x coordinates and divide by 2.

2. Second, add the y coordinates and divide by 2.

3. Take each result to get the midpoint.

Step-by-step explanation:

Example:

Find the midpoint of (1,6)(5,10)

x=1+5=6/2=3

y=6+10=16/2=8

Midpoint: (3,8)

Answer:

The probability that it is a red or black marble is 0.6429, or 64.29%

Step-by-step explanation:

Frequentist Probability

The probability of an outcome is defined as the frequency of the number of ways the outcome occurs relative to the number of ways that it could have occurred.

The equation to calculate the probability is:

\(\displaystyle P(A)=\frac{m}{n}\)

Where m is the number of ways the event A can occur and n is the total number of ways it could have occurred.

The bag contains 6 red, 5 yellow, and 3 black marbles. If one of them is randomly selected, it can be of any color from a total of n=6+5+3=14

Event A consists of the marble being red or black. It can be taken from m=6+3=9 marbles.

The probability is:

\(\displaystyle P(A)=\frac{9}{14}=0.6429\)

The probability that it is a red or black marble is 0.6429, or 64.29%

Answer:

1043 correct me if im wrong

Answer:

$21.00

Step-by-step explanation:

First, let's find the total amount of money Alicia had in her checking account after she made $44.50:

(-11.00) + 44.50 = 33.50

Next, let's find the total cost of the movie tickets by multiplying the cost of one ticket by the number of tickets Alicia bought:

6.25 * 2 = 12.50

Finally, let's subtract the cost of the movie tickets from the amount of money Alicia had in her account to find how much she will have left:

33.50 - 12.50 = 21.00

Thus, Alicia will have $21.00 left in her account after paying for the movie tickets.

Tell me if this helped :)

Answer:

its not possible

Step-by-step explanation:

6=14

10 = 22

if ten is 22

how can 20 be 42

a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.

b) Nyoko cannot find a value of b so that the equation has no solutions.

The equation 1 is given as follows:

6x - 5 + 2x = 4(2x - 1) - 1.

Combining the like terms and applying the distributive property, the simplified equations are given as follows:

8x - 5 = 8x - 4 - 1

8x - 5 = 8x - 5.

As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.

The equation 2 is given as follows:

3x + 7 = bx + 7.

A system of linear equations will have zero solutions when:

As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.

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Answer:

The answer to your problem is, 39

Step-by-step explanation:

In order to find the area of the triangle use the formula down below:

A = \(\frac{h_{b} b}{2}\)

Base = 13

Height = 6

Replace them equals:

= \(\frac{6*13}{2}\) = 39

Thus the answer to your problem is, 39

It is unlikely that McDonald's is to blame for having a faulty seat in its restaurant. The company that manufactures the seat may be more likely to blame if the seat was not properly manufactured or tested.

To determine who is to blame, we need to calculate the probability of a 420-pound person causing a seat to collapse that is designed to hold an average load of 450 pounds with a standard deviation of 8 pounds.

Assuming a normal distribution, we can calculate the z-score of a 420-pound person as:

z = (420 - 450) / 8 = -3.75

Looking at a standard normal distribution table, we find that the probability of a z-score of -3.75 or lower is approximately 0.0001. This means that there is a very low chance of a 420-pound person causing a seat designed for an average load of 450 pounds to collapse.

However, it should also be noted that Mr. Smith's medical condition may have contributed to the seat's collapse, even if the judge ruled that it is not relevant to the case. Ultimately, it would be up to a court of law to determine who is to blame and whether or not Mr. Smith's claims for pain and suffering are justified.

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Step-by-step explanation:

=

\((m + 6)(m - 4)\)

HOPE THIS HELPS

Lets US population be x

ATQ

\(\\ \sf\longmapsto \dfrac{x}{10}=32\)

\(\\ \sf\longmapsto x=32(10)\)

\(\\ \sf\longmapsto x=320million \)

Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.

Given,

Population of Canada = 32 million (1/10 of that of the USA)

=> Let the population of the USA be 'x'.

Now,

→ x/10 + 32 (million)

→ x = 32 × 10

→ x = 320 million.

(The number of zeros in 1 million is 6, so the number of zeros in 320 million will be 7)

320000000 or 320 million.

Answer:

x= 92/5 or 18.4

Explanation:

Get 19x by itself by adding 187 to both sides which cancels it out on the left, thus leaving you with:

19x=9x-3+187

Now we know -3+187= 184 so you simplify to:

19x=9x+184

Next, Subtract 9x from both sides to cancel it out and you're left with:

10x=184

Now divide both sides by 10 and you're left with:

92/5 or 18.4

Answer:

Simple Sentence

Step-by-step explanation:

Answer:

brainliest pls

Step-by-step explanation:

Answer:

Question 1 )

given ,

height of cylinder = 9 cm

diameter of cylinder = 10 cm

\(\dashrightarrow \: radius = \frac{10}{5} \: cm \\ \)

now ,

\(Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} \)

therefore ,

option (C) is correct.

______________________________________

______________________________________

Question - 2 )

dimensions of the rectangular prism are 2 × 3 × 4

\(Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} \)

hope helpful :D

The volume of the cylinder is 225 \(\rm cm^3\)  and the lateral surface area of the rectangular prism is 36 square cm.

It is given that the radius of the cylinder is 10 cm and height is 9 cm.

It is required to find the volume of the cylinder.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder given by:

\(\rm V = \pi r^2 h\)

We have diameter = 10 cm

Radius r = 10/2 = 5 cm

and height h = 9 cm

Volume will be:

\(\rm V= \pi \times5^2 \times 9\)

V = 225π cubic cm

For the lateral surface area = 2h(l+b)

= 2×3(4+2)

= 36 square cm

Thus, the volume of the cylinder is 225 \(\rm cm^3\)  and the lateral surface area of the rectangular prism is 36 square cm.

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Based on the workers performance of consistently meeting orders for 100, 200, 275, and 325 widgets within the workday, it is likely that they will successfully complete the order for 350 widgets on Friday. However, fulfilling orders for 400 or 450 widgets may present a challenge and require additional resources or extended work hours.

Based on the information, it seems that the workers have been consistently meeting their production targets within the allocated time. They have successfully completed orders for 100, 200, 275, and 325 widgets within the workday.

Based on their previous performance, it is likely that the workers will continue to work diligently and efficiently to meet the order for 350 widgets on Friday.

However, meeting an order for 400 or 450 widgets may pose a challenge as it exceeds the previous order quantities.

The workers may need to work extra hours, increase their pace, or employ additional resources to complete these larger orders within the same time frame. It is important to consider the capacity and capabilities of the workers and the factory to determine if such larger orders can be fulfilled successfully.

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Step-by-step explanation:

1 can of corn = c

1 can of green beans = b

Marissa-> 4c+8b=7

Bob-> 8c+7b=8.60

form a simultaneous equation:

4c+8b=7

8c+7b=8.60

find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn

8c+16b=14

8c+7b=8.60

now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:

16b-7b=9b

14-8.60= 5.4

so, 9b=5.4, and b= 0.6

so 1 can of green beans would cost $0.60