2. Let f(x) = 2x² + 2. Find each of the following:
a. f(-3)
b. f(6)
c. f(-1)
d. f(4)

Answer:

395.5*.07=27.685* 4 = 110.74

From the statements that are provided in the question, the statement that best describes when the plans  is Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

A word problem are sentences describing a real-life scenario where a problem needs to be solved by mathematical calculation.

Ideally, for the best health benefits, such as increasing strength and aerobic and reduction in heart diseases, it is suggested to do a combination of strength training and aerobic training for at least five times a week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. is the correct statement

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The velocity of the object in the last 50 seconds is 0 m/s, indicating that the object is at rest during that time interval.

To determine the velocity of the object in the last 50 seconds, we need to analyze the given displacement-time graph. Velocity can be calculated by finding the slope of the displacement-time graph during the specific time interval.

Looking at the graph, we see that the displacement starts at 30 meters (positive direction), decreases to 10 meters, and finally reaches 0 meters. The time interval for this change is 100 seconds (from 0 to 100 seconds). To find the velocity in the last 50 seconds, we focus on the interval from 50 to 100 seconds. During this period, the displacement remains constant at 0 meters.

Since velocity is the rate of change of displacement with respect to time, and the displacement is not changing (0 meters), the velocity during the last 50 seconds is 0 m/s. This means that the object is not moving or its velocity is constant at 0 m/s during that time interval.

In summary, based on the given displacement-time graph, the velocity of the object in the last 50 seconds is 0 m/s, indicating that the object is at rest or not moving during that specific time interval.

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Answer:

SAS

Step-by-step explanation:

Answer:What do you need help with?   My name is woods245 and whatever you need help with?

Step-by-step explanation:

Answer:

#1 = 13

Step-by-step explanation:

\(c^{2} =\sqrt{a^{2}+b^{2}}\)

\(a=5\\a^{2} =5^{2}\)

\(b=12\\b^{2} =12^{2}\)

\(c^{2} =\sqrt{5^{2}+12^{2}} \\c=13\)

Answer:

#4 ≈ 55.9

Step-by-step explanation:

\(c^{2} =\sqrt{a^{2}+b^{2}}\)

\(a=50\\a^{2} =50^{2}\)

\(b=25\\b^{2} =25^{2}\)

\(c^{2} =\sqrt{50^{2}+25^{2}} \\c =about 55.9017\)

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Answer:

-24+4v

Step-by-step explanation:

8v-24-12v

-24+4v

Answer:

Solve it, you can do it!

Step-by-step explanation:

Multiply 4 2/3 and then divide what you get with 7

Answer:

1.5 or 1 1/2

Step-by-step explanation:

4 2/3 / 7

14/3 / 7

3 * 7 = 21

21/14 =

1.5

edit 1: i changed the / to an or to make it less confusing

If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

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After spending h hours sitting the dog and 2 days sitting the cat, Tamara earned a total of $(7h+30)

What is a mathematical equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

What are the types of equations?

Given, Tamera spent h hours sitting the dog.

As she gets paid $7 per hour petting the dog, she earns a total $(7×h), which is $7h

Also, she spent 2 days sitting the cats.

She gets paid $15 per day sitting the cats, she earns a total $(15×2), which is $30

Thus, she earns a total of $7h + $30, which is $(30+7h)

Tamara earned a total $(30+7h)

After spending h hours sitting the dog and 2 days sitting the cat, Tamara earned a total of $(7h+30)

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A) The proportion of the sample of 300 that would be expected to be women can be calculated by multiplying the proportion of adult women in the geographical region (49%) by the sample size:

Proportion of sample = 0.49 * 300 = 147

Therefore, we would expect approximately 147 out of the 300 sampled individuals to be women.

B) The standard deviation of the sampling distribution, denoted as SD, can be calculated using the formula:

SD = sqrt(p * (1 - p) / n)

Where:

p is the proportion of adult women in the geographical region (0.49)

n is the sample size (300)

SD = sqrt(0.49 * (1 - 0.49) / 300) ≈ sqrt(0.2451 / 300) ≈ sqrt(0.000817)

SD ≈ 0.02858

Therefore, the standard deviation of the sampling distribution is approximately 0.02858.

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The absolute value of the percent change in the volume of the cylinder is 20%.


When the radius of a right circular cylinder is decreased by 20%, its new radius becomes 0.8 times the original radius (1 - 0.20 = 0.8).

Likewise, when its height is increased by 25%, its new height becomes 1.25 times the original height (1 + 0.25 = 1.25).

The volume of a right circular cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Let V₁ be the original volume, and V₂ be the new volume after the changes.

V₁ = π(r)²(h) and V₂ = π(0.8r)²(1.25h)

V₂ = π(0.64r²)(1.25h) = 0.8πr²h

Thus, the new volume is 0.8 times the original volume. This represents a 20% decrease in volume (1 - 0.8 = 0.20 or 20%). So, the absolute value of the percent change in the volume of the cylinder is 20%.

In summary, decreasing the radius by 20% and increasing the height by 25% results in a 20% decrease in the volume of the right circular cylinder.

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⇒ Choose three values for \(x\) and substitute in to find the corresponding \(y\) values.

\((0,6),(1,11),(2,16)\)

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

=2

The length of the diameter of a circle with endpoints at points (-2, 87) and (18, 91) is  20.4 units

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-2, 87) and (18, 91) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-2 - 18)² + (87 - 91)²}

d =√{400 + 16}

d = √416

d = 20.4 units

The diameter has length 20.4 units

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The number of adult tickets is 62.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

Number of child tickets = x

Number of adults tickets = y

We can make two equations.

x + y = 134 ______(1)

x = 134 - y ______(2)

6.50x + 9.60y = 1063.20 _______(3)

Putting (2) in (3) we get,

6.50(134 - y) + 9.60y = 1063.20

871 - 6.50y + 9.60y = 1063.20

871 + 3.1y = 1063.20

3.1y = 1063.20 - 871

3.1y = 192.2

y = 192.2/3.1

y = 62

Now,

x = 134 - y

x = 134 - 62

x = 72

Thus,

72 child tickets.

62 adult tickets.

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Answer: 432 miles

Step-by-step explanation:

If the car can travel 24 miles on 1 gallon of gas, then on 18 gallons of gas it can travel 18 * 24 = 432 miles

The height of the pole will be 3m (approx.)

We have the ground located 4 m from a pole, its upper part can be seen with an elevation angle of 37°.

We can write the height of the pole as -

h = 4 tan(37°)

h = 4 x 0.75

h = 3 m (approx.)

Therefore, the height of the pole will be 3m (approx.)

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[Question in english -

From a point on the ground located 4m from a pole, its upper part can be seen with an elevation angle of 37°. What is the height of the pole?]

The probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

The mean weight of the babies (μ) = 3685 grams.

The variance (σ²) = 330625.

Therefore, the standard deviation (σ) = √330625 = 575.

The sample size (n) = 113.

The sample mean = μ - 3685 grams.

The sample standard deviation (s) = σ/√n = 575/√113 = 54.09145.

We are asked to find the probability that the mean weight of the sample babies is less than 3631 grams, that is,

P(X < 3631)  = P(Z < {(3631 - 3685)/54.09145})

Using the formula: Z = (x - μ)/s,

or, P(Z < -0.9983) = 0.1591 or 15.91%.

From the table of area under the z-score.

P(X < 3631) can also be calculated using calculator function:

Normalcdf(-100000000,3631,3685,54.0195), which gives the value 0.1591 or 15.91%.

Thus, the probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

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The value of the fractions will be:

1. 4/10 + 2/10 = 6/10

2. 9 /12 + 3/12 = 1

3. 6/10 + 4/10 = 1

4. 2/8 + 3/8 = 5/8

5. 2/7 + 6/7 = 1 1/7

6. 11/9 + 8/9 = 2 1/9

7. 5/13 + 10/13 = 1 2/13

8. 3/5 + 7/10 = 1 3/10

9. 7/8 + 13/16 = 1 11/16

10. 9/30 + 3/5 = 9/10

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that in order to add the numbers it's essential to have a common denominator. For example, 7/8 + 13/16 will be:

= 7/8 + 13/16

= 14/16 + 13/16

= 27/16

= 1 11/16

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Answer:

Step-by-step explanation:

Am=Am reflexive property

BMC=180 degrees

180/2

90

BMA = 90

MCA = 90

Answer:

This is a simultaneous equation.

I hope you how to solve simultaneous equations....if not let me know so that I help you out.

Answer: If 10% is 13L, then the total capacity would be 130L

Step-by-step explanation: 10% of a container is 13L, then do 10 x 10 to get to 100% of the container. You would do the same for 13L, and times it by 10. 13L x 10 = 130L

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

Answer:

1:8

Step-by-step explanation:

First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.

Answer:

B & C

Step-by-step explanation:

A) does not even have an x, but prentening the z i san x?, 9*4= 36. 36+22= 14.

B) 7*4= 28, 28-1=27

C) 8*4= 32, 46-32= 1

Answer:

B,C

Step-by-step explanation:

7(4)-1=27

28-1=27

46-8(4)=14

46-32=14

The rise in disposable income from $250 million to $300 million will increase consumption by $40 million.

To determine the change in consumption resulting from a rise in disposable income, we need to consider the marginal propensity to consume (MPC). The MPC represents the proportion of additional income that individuals choose to spend on consumption.

In this case, the MPC is given as 0.8. This means that for every additional dollar of disposable income, individuals will spend 80 cents on consumption.

Given that the rise in disposable income is from $250 million to $300 million, the increase in disposable income is $300 million - $250 million = $50 million.

To calculate the change in consumption, we multiply the increase in disposable income by the MPC:

Change in consumption = MPC * Change in disposable income

Change in consumption = 0.8 * $50 million

Change in consumption = $40 million

Therefore, the rise in disposable income from $250 million to $300 million will increase consumption by $40 million.

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If MPC is given as 0.8, a rise in disposable income from $250m to $300m will

decrease consumption by $50m.

increase consumption by $300m.

increase consumption by $50m.

increase consumption by $40m.

Answer:

you can eat this samosa then you will got answer

Answer: 9/1

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

The problem asks us to compare the number of

adult tickets to the number of child tickets.

We know that there are 45 adult tickets

and 5 child tickets so we have 45/5.

However, 45/5 is not in lowest terms so we divide

the numerator and denominator by 5 to get 9/1.

So the ratio of adult tickets to child tickets is 9/1.