A. Marvin worked 4 hours a day plus an additional 5-hour day for a total of 29 hours.B. Marvin worked 9 hours a day for a total of 29 hoursC. Marvin worked 4 hours one day plus an additional 5 hours for a total of 29 hours.D. Marvin worked 4 days plus 5 hours for a total of 29 hours.

Answer:

x-intercepts:  (-1, 0) and (2, 0)

x-intercept:  (-3, 0)

Step-by-step explanation:

Given quadratic function:

\(f(x)=-4x^2+4x+8\)

The x-intercepts of a quadratic function are the points at which the curve crosses the x-axis ⇒ when y = 0

Therefore, to find the x-intercepts of the given function, set the function to zero:

\(\implies -4x^2+4x+8=0\)

Factor out -4:

\(\implies -4(x^2-x-2)=0\)

Divide both sides by -4

\(\implies x^2-x-2=0\)

Rewrite the middle term as -2x + x:

\(\implies x^2-2x+x-2=0\)

Factor the first two terms and the last two terms separately:

\(\implies x(x-2)+1(x-2)=0\)

Factor out the common term (x - 2):

\(\implies (x+1)(x-2)=0\)

Zero Product Property:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

\(\begin{aligned}(x+1) & = 0 & \quad \textsf{ or } \quad \quad (x-2) & = 0\\\implies x & = -1 & \implies x & = 2\end{aligned}\)

Therefore, the x-intercepts are (-1, 0) and (2, 0).

---------------------------------------------------------------------------------------

Given quadratic equation:

\(-9 = x^2 + 6x\)

Add 9 to both sides:

\(\implies x^2+6x+9=0\)

Rewrite the middle term as 3x + 3x:

\(\implies x^2+3x+3x+9\)

Factor the first two terms and the last two terms separately:

\(\implies x(x+3)+3(x+3)=0\)

Factor out the common term (x + 3):

\(\implies (x+3)(x+3)=0\)

\(\implies (x+3)^2=0\)

Square root both sides:

\(\implies (x+3)=0\)

Solve for x:

\(\implies x=-3\)

Therefore, the x-intercept is (-3, 0).

As the function has a repeated factor (multiplicity of two), the curve will touch the x-axis at (-3, 0) and bounce off.  

Answer:

6 × ( 3x - 4)

Step-by-step explanation:

Not much to explain.

Hope this helps!

If there is something wrong, please let me know

The net that represents a cube is (b) net b

A cube has 6 faces

This means that the net must have 6 faces

For a net to represent a cube, there must be four adjacent faces

And 2 two adjacent faces

Where

The net that represents the above scenario is net (b)

Hence, the net that represents a cube is (b) net b

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Answer:

Step-by-step explanation:

28-13

and 28+-13

Scale of the model is found to be 1 : 30 using the ratio method.

A model of a car is 4 inches long.

The actual car is 10 feet long.

 4 in. = 10 ft. ( since given )

Divide both sides by 4, we get

∴ 1 in. = 2.5 ft.

We use the ratio here to compare the lengths of the actual car and its model.

A ratio scale is a quantitative measurement scale that is used to compare numbers.

The model is 4 inches long while the actual car is 10 feet long.

One foot is equal to 12 inches. Therefore the car in terms of inches is:

10 feet × 12 inches = 120 inches

The ratio scale is the length of the model of the car : length of the actual car

= 4 : 120

= 1 : 30

Therefore the scale of the model is 1: 30.

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The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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Answer:

the factors of prime numbers are only 1 and itself

Answer:

A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.

Step-by-step explanation:

the firts -4x-2=12 look at the picture =-2

the second look at the picture

Answer:

its the 3rd one

Step-by-step explanation:

Bcs i know

Sebastian's basis in the two assets are: $42,389 and $66,611

The computation of the Sebastian's basis in these two assets is shown below:

= Market value of the first piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($76300 ÷ $(76300 + 119900)) × $109,000

= $42,389

= Market value of the second piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($119,900 ÷ $(76300 + 119900)) × $109,000

= $66,611

The Total market value of two pieces of equipment

= $(76300 + 119900)

= $196,200

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Answer:

6.6×10²¹

Step-by-step explanation:

6,600,000,000,000,000,000,000 → there are 21 place values after the first non-zero number ''6''

to convert to standard form, we move the decimal point after the first non-zero number.  

6,600,000,000,000,000,000,000.0 ← decimal in the end

the decimal will be moved, all the digits after the decimal are counted and they will resemble the index.

6.6×10²¹  

P(A and B) is equal to 6.

To find P(A and B), we can use the formula:

P(A and B) = P(A) + P(B) - P(A U B)

Given the information:

P(A U B) = 32 (the probability of either event A or event B occurring)

Universal set contains 52 elements (total number of possible outcomes)

P(A intersection B) = 6 (the probability of both event A and event B occurring)

P(A) = 12 (the probability of event A occurring)

P(B) = 26 (the probability of event B occurring)

We can substitute the known values into the formula:

P(A and B) = P(A) + P(B) - P(A U B)

P(A and B) = 12 + 26 - 32

Simplifying the expression:

P(A and B) = 38 - 32

P(A and B) = 6

Therefore, P(A and B) is equal to 6.

The result indicates that the probability of both event A and event B occurring simultaneously is 6 out of the total number of possible outcomes in the universal set. It means that out of the 52 elements in the universal set, 6 of them satisfy the conditions of both A and B.

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Answer:

The answer is Ahope this helps

Answer:

6

Step-by-step explanation:

Option A. c - 0 = b - a is the missing statement in Step 4 of the proof.

To determine the missing statement in Step 4 of the proof, let's examine the given table and image related to the relationship between the slopes of two parallel lines.

Step 1: Given the slopes of two parallel lines, m₁ and m₂.

Step 2: Assume two points on each line: (0, a) and (c, b).

Step 3: Calculate the slopes using the slope formula: m₁ = (b - a) / (c - 0) and m₂ = (d - a) / (0 - c).

Step 4: ??? (Missing Statement)

Step 5: Since the lines are parallel, the slopes are equal, so m₁ = m₂.

By analyzing the given information, we can identify the missing statement by comparing the calculated slopes:

From Step 3, we have:

m₁ = (b - a) / (c - 0)

m₂ = (d - a) / (0 - c)

Comparing the two slopes, we can see that (b - a) / (c - 0) = (d - a) / (0 - c).

To express this relationship, the missing statement in Step 4 should be:

A. c - 0 = b - a

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1. The volume of the pyramid is 320ft³

3. The volume of the pyramid is 2395.83cm³

5. The volume of the pyramid is 1200in³

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

Where:

1. The volume of the pyramid is calculated as;

V = 1/3 * 8 * 12 * 10 = 320ft³

3. The volume of the pyramid is;

V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³

5. The volume of the pyramid is;

V = 1/3 * (15 * 15) * 16 = 1200in³

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a. It represents the spread of the middle 50% of the data.

b. At least 50% of the students scored between 80 and 86.

c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.

A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.

B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.

Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.

From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.

C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

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Answer:

41.13 centimeters (rounded to 2 decimal places)

Step-by-step explanation:

The perimeter is the sum of all sides of the figure.

This figure consists of two semicircular lines (right and left) and two lines (top and bottom). We add up all of them and find the perimeter of the figure.

Answer:

6090

Step-by-step explanation:

Answer:

\( \frac{13y ^{2} - 59y - 90 }{(y + 10)(y - 10)} \)

Answer:

A

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

2 squares to 10 traingles is 2/10

But if you divide both top and bottom by 2, it simplifies to 1/5

Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

Answer:

no

Step-by-step explanation:

it would have to be 8.55 to be rounded up not 8.549... there is a rule of if it is 4 and lower go down and if 5 and higher go up

The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

D) 0.89

Step-by-step explanation:

round 0.885 to 0.89