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What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11

2. Divide both sides by 4 to get c - 3 = 2

3. Use the distributive property to get 4c - 3 = 8

4. Use the distributive property to get 4c - 3 = 8

5. Subtract 4 from both sides to get c - 3 = 4

Answer:

Step-by-step explanation:

The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.

The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.

The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.

The amplitude is the difference between the maximum and the midline:

  40 -15 = 25.

__

The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to consult your text or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)

The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.

Divide the lengths to find the scale :

35/7 = 5

Now divide the width by the scale to get the scaled width:

30/5 = 6 inches

the scaled drawing is 7 x 6

area of scaled drawing = 7 x 6 = 42 square inches

The given mixed fraction 5 1/4 can be expressed as 21/4 in improper fraction.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1. An example of a mixed number is 325 3 2 5. When the numerator is always higher than or equal to the denominator, the fraction is said to be inappropriate.

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As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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Answer:

2

Step-by-step explanation:

Answer:

The results of the short anxiety-symptoms questionnaire

Step-by-step explanation:

The results of the anxiety questionnaire are expected to depend on the  independent variable chosen being the metdod of waiting the 5 miniute which is being directly ccontrolled by the researchers.

The volume for the boxes that are held by Chris will be 80ft³.

Volume refers to the amount of space that a three-dimensional object occupies. It is typically measured in cubic units, such as cubic meters or cubic feet. The volume of an object can be calculated using various formulas depending on the shape of the object.

Volume is an important concept in many fields, including physics, engineering, and architecture. It is also used in everyday life, such as when measuring the amount of liquid in a container or determining the capacity of a storage space.

Volume = area of the base × height

V= L× w × h =B × h

The volume for one box = 1 1/3 × 10

                                     = 40/3 = 13 1/3

The volume for 6 boxes=  6 × 13 1/3 = 80 ft³

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Total Volume in cubic feet and express answer in mixed fraction

chris has 6 identical boxes. The rectangular base of each box has an area 1 1/3 ft 3. The height of each box is 10 inches. What is the total volume of all the boxes in cubic feet?

Answer:

the unit price is $1.10

Step-by-step explanation:

Answer:

I believe the answer is function

Step-by-step explanation:

Therefore, the current height of the bean plant is 165 centimeters.

Addition is a basic mathematical operation that combines two or more numbers or quantities to give a total or a sum. In other words, it is the process of finding the total when two or more values are combined. It is denoted by the plus symbol (+). For example, in the expression 5 + 3, 5 and 3 are the addends, and the sum or total is 8. Addition is one of the four basic arithmetic operations, the others being subtraction, multiplication, and division. It is widely used in many areas of mathematics, as well as in everyday life situations such as counting objects or adding up a shopping bill.

Here,

The current height of the bean plant can be found by adding the growth of 15 centimeters to its previous height of 1.5 meters, after converting meters to centimeters:

1.5 meters = 150 centimeters

Current height = previous height + growth

Current height = 150 cm + 15 cm

Current height = 165 cm

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Answer:

both a and b

Step-by-step explanation:

It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:

-4x+6y=40

4x+6y=8

so the -4x and 4x cancels and a is a valid option.

If you use the b which multiplies the second with 3 it becomes:

2x-3y=-10

4x+3y=24

so -3y and 3y cancel which also makes this a valid option.

Answer: both a and b

Answer:

C (y<-2x+4)

Step-by-step explanation:

i use a math app and I just plugged in all the equations and that one worked

Answer:

V = π(8^2)(31) = 6,232.9 m^3

Answer:

The water level drop in temperature per hour is 40 °C per hour

Unit rate

   Hours between 10 P.M. and 7:36 A.M = 9 hours 36 minutes

= 9.6 hours

   The total decrease in temperature = 6/25

The unit rate of decrease in temperature per hour = Hours between 10 P.M. and 7:36 A.M ÷ Total drop in temperature

= 9.6 ÷ 6/25

= 9.6 × 25/6

= 240/6

= 40 °C per hour

Therefore, the water level drop in temperature per hour is 40 °C.

ANSWER

12

EXPLANATION

Considering that 1 cup holds 250 mL of liquid, which is equivalent to,

The bottle holds 3 liters of water, which is equivalent to,

Hence, the bottle holds 12 cups of water.

Answer:

The Circle on the Top right doesn't belong since every other circle has a green quadrant, whereas on the other hand the circle on top right is missing the green quadrant

Hope this helps!

The  absolute maximum value of f(x) on the interval [-3,9] is approximately 1.3 x 10^9 and the absolute minimum value of f(x) on the interval [-3,9] is 0.

To find the absolute maximum and minimum values of the function f(x) = x^8e^(-x) on the interval [-3, 9], we first need to find the critical points and endpoints of the function on the interval.

Taking the derivative of the function, we get:

f'(x) = x^7e^(-x)(8-x)

Setting f'(x) equal to zero, we get critical points at x=0 and x=8. We also need to check the endpoints of the interval, x=-3 and x=9.

Now we need to evaluate the function at these points to find the absolute maximum and minimum values.

f(-3) ≈ 3.3 x 10^5
f(0) = 0
f(8) ≈ 1.3 x 10^9
f(9) ≈ 4.4 x 10^8

Therefore, the absolute maximum value of f(x) on the interval [-3,9] is approximately 1.3 x 10^9 and the absolute minimum value of f(x) on the interval [-3,9] is 0.

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Answer:

-7

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

2 weeks and 4 days

Step-by-step explanation:

she is 63 pounds and she needs to get to 47 so  63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go

2 weeks and 4 days

Answer:

8x+6 units^2

Step-by-step explanation:

L = 4x+3

W = 2

A=LW

A=(4x+3)*2

A= 8x+6 units^2

Answer:

To find the total, we need to find the area to solve [ 8x + 6 ]

Step-by-step explanation:

The length is [ 4x + 3 ]

The width is [ 2 ]

Area = Length * Height

A = (4x + 3) * 2

A = 8x + 6

Best of Luck!

Answer:

I think the answer is B

Step-by-step explanation:

The inequality that represents "all real number's 'x' greater than 2" is \(x > 2\) and the inequality that represents "6 more than a number 'k' is less than or equal to 12" is \(6 + k \leq 12\).

a)

Given :

All real number's 'x' greater than 2

So, the inequality that represents the given verbal expression is given below:

\(x > 2\)

where 'x' is the real number.

b)

Given :

6 more than a number 'k' is less than or equal to 12.

So, the inequality that represents the given verbal expression is given below:

\(6 + k \leq 12\)

where 'k' is the given number.

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Answer:

Step-by-step explanation:

For reference the quadratic equations looks like this

(-b±\(\sqrt{b^2-(4*a*c)}\\\))/2a

Amy's mistake (and solution)

We can see that when amy mulitplied c she wrote 20 instead of -20 (in step 1). She can fix this by writing (4*1*-20) instead

Richard's mistake (and solution)

When richard messed up on step 5 when he wrote (6-2i)/2. You only would write the i if the negative was in the radical (but in this case it's outside). You would fix this by just getting rid of the i entirely (and keeping the 2)

I'm not really too sure how you would do three but I'll give it a shot anyways

our equation will look like this: x²+2x

which means our quadratic equation would look like this

\(\frac{-2+/-\sqrt{2^2-4*1*0}}{2}\\=\\\\\frac{-2+/-(2)}{2}\\\\\\= -1+/-(1)\\\\-1+1=0\\-1-1=-2\)

When I write +/- I mean plus or minus giving us -2 and 0 as our solutions

The probability that a randomly selected passenger has to wait for more than 4.25 minutes is 0.25, or 25%.

To calculate this probability, we can use the formula for the uniform distribution, which tells us that the probability density function (PDF) is given by:

f(x) = 1/(b-a)

where a and b are the endpoints of the interval (0 and 6 minutes in this case). This means that the probability of a waiting time between a and b is the area under the PDF curve between a and b, which is:

P(a < x < b) = ∫(a to b) f(x) dx = ∫(a to b) 1/(b-a) dx

In our case, we want to find the probability of a waiting time greater than 4.25 minutes, which means we need to calculate:

P(x > 4.25) = ∫(4.25 to 6) f(x) dx = ∫(4.25 to 6) 1/(6-0) dx

Simplifying this integral, we get:

P(x > 4.25) = ∫(4.25 to 6) 1/6 dx = [x/6] from 4.25 to 6

Evaluating this expression at the endpoints, we get:

P(x > 4.25) = [6/6] - [4.25/6] = 0.25

This means that there is a 1 in 4 chance that a passenger will have to wait longer than 4.25 minutes for their train to arrive.

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Answer:

So when you add 2 plus to it equals 2 adrew tates kissing.

Step-by-step explanation:

Answer:

153°

Step-by-step explanation:

Angle EHG is a right angle, so it measures 90°.

The measures of angles EHF and FHG add to 90°.

m<EHF + m<FHG = 90°

m<FHG = 27°

m<EHF + 27° = 180°

m<EHF = 153°

The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.

The following gives the formula for population variance:

σ2 = (1 /N) ∑ (xi – μ) 2

Where:

σ2 refers to the population variance.

N refers to the total number of data points

∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.

For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:

12+8+28+22+12+30+14)/7 = 18.

The population variance is calculated as follows:

σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]

= 67.43

Therefore, the population variance is closest to 67.43.

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Complete question is:

Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:

A. 8.00

B. 8.64

C. 67.00

D. 74.67

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as paired samples.

Paired samples are a type of experimental design in which two sets of data are compared for a given set of variables.

The term “paired” refers to the fact that each data point in one set corresponds to a specific data point in the other set.

Paired samples are a statistical method that is used to compare two groups of data.

Each set of data must be obtained from a single source.

A paired sample is where each observation in one group is matched with an observation in the other group.

This is a statistical technique that is frequently used in experimental research to measure the effect of a treatment on a particular group.

An example of a paired sample is when the same set of people are tested twice to determine the effect of a drug.

The first test is performed before the drug is administered, and the second test is performed after the drug has been administered.

The results of the two tests are then compared to determine the effect of the drug on the group of people.

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The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

Answer:

alternate interior,x=2

Step-by-step explanation:

they are alternate interior angles

so 36x+3=-1+38x

   -36x         -36x

3=-1+2x

+1|+1

4/2=2x/2

x=2