(4x + 2)(6x^2 - z + 2)

The maximum number of boxes that will fit inside the trailer according to the available volume is 540.

A semi-trailer is being packed with boxes. The side length of each box is 1.5 feet. The cargo space of the trailer is 28 feet in length, 8.5 feet wide and 9.167 feet high. Let the number of boxes that can fit according to the length, width, and height of the trailer be x, y, and z. The values of x, y, and z are the greatest whole numbers less than or equal to the ratio of the length, width, and height of the trailer to the length, width, and height of the box, respectively. The first inequality is x ≤ 28/1.5 ≤ 18.67, so the value of x is 18. The second inequality is y ≤ 8.5/1.5 ≤ 5.67, so the value of y is 5. The third inequality is z ≤ 9.167/1.5 ≤ 6.11, so the value of z is 6. The total number of boxes is the product of the three variables.

P = x*y*z = 18*5*6 = 540

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The statements the polygon has 144° rotational symmetry, The polygon has point symmetry and The polygon has 36° rotational symmetry are true.

We have to find the symmetry.

A decagon is given as

Number of sides = 10

So rotational symmetry = [tex]\frac{360^{0} }{n}[/tex]

= [tex]\frac{360 }{10}[/tex]

= 36°

So rotational symmetry angles are multiple of 36°

So 36° x 4 = 144° is a rotational symmetry.

The all sides are congruent, so decagon as point symmetry.

Hence the answer is The statements the polygon has 144° rotational symmetry, The polygon has point symmetry and The polygon has 36° rotational symmetry are true.

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Answer:

Step-by-step explanation:

These are tough,  so picture a line ( graph)  going  up the picture.

I'm attaching my graph

M = 10*R

each raffle ticket cost 10 bucks

Answer:

0.1 units

Step-by-step explanation:

The volume formula of a cube is V = s^3
0.001 = s^3

s = 0.1

Answer:

y = 10x - 8

Step-by-step explanation:

The slope is "m", or how much the y-value changes on a line when the x-value changes by one.

The y-intercept is the y value of the line when it is intersecting the y-axis, or when the x-value is 0.

To find the slope, take 2 points from the graph and plug into the slope formula:

[tex]\frac{y_2-y_1}{x_2-x\\_1}[/tex]

I'll use (0, -8) and (1,2).

Plug into the formula.

[tex]\frac{2--8}{1-0}[/tex]

[tex]\frac{10}{1}[/tex]

10

Slope = 10

To find the y-intercept, look at the table. What is the y-value when the x-value is equal to 0?

-8

y-intercept: -8

Slope-Intercept form:

y = mx + b

m: slope

b: y-intercept

y, x: leave as variables

y = 10x - 8

Let us take the unknown number as b.

Sum of the number and 8 can be represented as,

8 + b

Therefore, five time the sum is,

5(8+b)

This is equal to 4, so,

5 (8 +b) = 4

This is the required equation.

The number is,

The number is, -7.2.

Given the quadratic equation below

Note: y is function defined by v ( independent variable)

To plot the graph of the function above, we will take a range of values for v, i.e

Given the range of values above, find the corresponding y-values . This can be done by substituting for v in the quadratic equation above

The table of values is shown below

Hence, the graph of the solution is shown below

From the given figure

The prism formed from 5 cubes long, 2 cubes wide, and 2 cubes height, then

Its length = 5 cubes

Its width = 2 cubes

Its height = 2 cubes

Since the side of each cube = 1/2 cm, then

Its length = 5 x 1/2 = 5/2 cm

Its width = 2 x 1/2 = 1 cm

Its height = 2 x 1/2 = 1 cm

The volume of the prism = length x width x height, then

The volume of the prism is 5/2 cubic cm

The answer is A

To find JL

We will first find the value of x

JK = KL

2(x+6) = 3x + 8

2x + 12 = 3x+ 8

subtract 2x from both-side of the equation

12 = 3x-2x + 8

12 = x+ 8

subtract 8 from both-side of the equation

12 - 8 = x+ 8 - 8

4 = x

x=4

JK = 2(x+ 6)

substitute x = 4 into the above

JK = 2(4+6)

JK=2(10)

JK=20

KL =3x+8

substitute x=4 into the above

KL = 3(4) + 8

KL = 12 + 8

KL=20

JL = JK + KL

= 20 + 20

= 40

JL = 40 units

SOLUTION:

In this problem.

Let number of dimes = x, then number of quarters = 2x - 7.

The monetary values of quarters and dimes are;

Thus, 2( 13) - 7 = 19.

Therefore, there are 13 dimes and 19 quarters.

Given:

There are given the equation:

Explanation:

According to the question:

We need to find the value where the given equation is satisfied.

So,

From the equation:

Put the 0 for x for the option first.

Then,

For the second option:

For option third:

Final answer:

Hence, the correct option C.

Answer:

Step-by-step explanation:

NO! Hope I helped.

18/35 fraction of students are girls who brought their lunch today.

A fraction is a mathematical concept that denotes a component of a whole or, more generally, any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.

Let's say,

Total number of students over school = x

Number of girls = (6/7)x

Number of girls who brought their lunch = 3/5 of (6/7)x

⇒ 3/5(6/7)x

⇒ (18/35)x

Hence "18/35 fraction of students are girls who brought their lunch today".

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Answer:

a.

linear? yes

why? because it is straight line

domain? 8

range? 8

b.

linear ? no

why? because it's curved

domain? -4

range?4

Circumference

Formula

C = 2*pi*r

Substitution

C = 2*(3.14)* (5)

Simplification

C = 31.4 m This is the Circumference

Area

Formula

A =pi*r^2

Substitution

A = 3.14*5^2

Simplification

A = 3.14*25

Result

Area = 785 m^2 This is the area

The random variable x has a normal distribution with standard deviation. It is known that the probability that x exceeds is. 90. Therefore, mean  of the probability distribution is 133.09.

We are given that the random variable x has a normal distribution with standard deviation 21,i.e;

X ~ N( u, σ=21)

The Z probability is given by;

             Z = X- u/σ ~ (0,1)

Also, it is known that the probability that x exceeds 160 is 0.90 ,i.e;

P(X > 160) = 0.90

P( X-u/σ > 160-u /21  ) = 0.90

From the z% table we find that at value of x = -1.2816, the value of

P(X > 160) is 90%

which means;   160-u /21   = -1.2816

                          160 -  = 21*(-1.2816)

                             = 160 - 26.914 = 133.09

Therefore, mean  of the probability distribution is 133.09.

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The ordered pair that can be plotted together with these four points is

(0, 3).

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The following coordinates are from the graph.

(3, -1), (2, 3), ), (-4, 2), and (-2, -3)

We know that,

A function can have many-to-one but not one-to-many.

So,

We can not have (-2, 0), (-2, 3). and (3, 0) because we already have (-2, 3) and (3, -1).

This is an indication of a one-to-many function that is not possible.

(0, 3) is possible.

Thus,

The ordered pair that can be plotted together with these four points is

(0, 3).

Option C is the correct answer.

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ANSWER:

STEP-BY-STEP EXPLANATION:

By the statement Kevin always has $5 or more, which means that x can be 5 or all values greater than this. So the correct graph would be the first option:

The amount of caffeine in her body on the 1st day is, 2.4 mg

The amount of caffeine in her body on the 2nd day is, 4.8 mg

The amount of caffeine in her body on the 3rd day is, 7.2 mg

Given, Jada drinks a cup of tea every morning at 8:00 am. for 14 days. There is 40 mg of caffeine in each cup of tea she drinks. 24 hours after she drinks the tea, only 6% of the caffeine is still in her body.

So, the amount of caffeine in her body on the 1st day is,

40×6/100

24/10

= 2.4 mg caffeine

The amount of caffeine in her body on the 2nd day is,

= 2× 2.4

= 4.8 mg caffeine

The amount of caffeine in her body on the 3rd day is,

= 3× 2.4

= 7.2 mg caffeine

Hence, The amount of caffeine in her body on the 1st day is, 2.4 mg

The amount of caffeine in her body on the 2nd day is, 4.8 mg

The amount of caffeine in her body on the 3rd day is, 7.2 mg

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According to the table, the rate of change between 2018 and 2021 was 22.22%

A variable's rate of change over a predetermined amount of time. It is frequently used while discussing momentum and is typically represented as a ratio of one variable's change to another's corresponding change.

Given that,

Year Kids

2018   93

2019   92

2020  78

2021   75

2022   78

So, we have to calculate the rate of change between 2018 and 2021:

As we know, rate of change = (change in year / change in kids) × 100

rate of change = (4/ 18) × 100

rate of change = 22.22%

So, according to the table, the rate of change between 2018 and 2021 was 22.22%

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Answer: (x+1)(x+4) is the solution

Step-by-step explanation:

Use the sum-product pattern

Common factor from the two pairs

Rewrite in factored form

Answer:

(x+1)(x+4)

Step-by-step explanation:

x²+5x+4

x²+4x+x+4

x(x+4)+1(x+4)

(x+1)(x+4)

The cost of the juice in dollars per fluid ounce s $0.13..

The first step is to convert quart to ounces.

1 quart = 32 ounces

The quantity of juice bought in fluid ounces : quantity in quart x unit of conversion=  32 x 2 = 64 fluid ounces

The next step is to divide the cost of the bottle of juice by the converted capacity of the juice bottle. Division is the mathematical process of grouping a number into equal parts using another number.

The cost of the juice in dollars per fluid ounce = cost of the bottle / capacity of the bottle in fluid ounces

= $8.32 / 64 = $0.13

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Answer:

The correct graph is shown below.

Hope this helps!

Answer:

1.6, 1.62, 1 5/8, 7/4

Step-by-step explanation:

First, let's turn the fractions into decimals:

For 7/4 you simply divide 7 by 4. Which equals 1.75.

Next for 1 5/8 we divide 5 by 8, which equals 0.625. + the 1 in 1 5/8. So we have 1.625.

Now, we arrange the decimals:

1.6, 1.62, 1.625, 1.75

But this is NOT the answer. We have to replace the decimals that WERE fractions back to the original, then order them from there:

1.6, 1.62, 1 5/8, 7/4.

This IS the answer.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

the answer to this question is in the screenshot. pls mark this answer as the brainliest

Step-by-step explanation:

The amount of fish needed to be served is 294 lbs

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

Meat to be served: 3.5 pounds fish fillet

Number of guests: 84

The amount of fish needed is calculated using the following equation

Amount of fish = Number of guests x Meat to be served

Substitute the known values in the above equation, so, we have the following representation

Amount of fish = 84 * 3.5

Evaluate the products

Amount of fish = 294

Hence, the amount needed is 294 pounds

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Possible question

Perform the following food service calculation.

Meat to be served: 3.5 pounds fish fillet

Number of guests: 84

How much fish is needed?

____lbs.

Replacing x=1 in the equations to verify if the value of y is equal to 8, we have:

A.

y= 5*(1) + 3 = 8 (Multiplying and adding) (It is correct as the result for y is equal to 8)

y= 9*(1) - 1 = 8 (Multiplying and subtracting)(It is correct as the result for y is equal to 8)

B

y= 4*(1) + 2 = 6 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)

C

y= -2*(1) + 10 = 8 (Mulitplying and subtracting) (It is correct as the result for y is equal to 8)

y= 8*(1) + 1 = 9 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)

D.

y= 7*(1) -5 = 9 ≠ 8 (Multiplying and subtracting) (It is not correct as the result for y is not equal to 8)

The answer is the option A.

The angle that defines the arc is x = pi/4.

For a circle with a radius R, the area of an arc defined by an angle x is:

A = (x/2)*R^2

In this case, the diameter is 16km, then the radius is given by:

R =16km/2 = 8km

Then the area is:

A = (x/2)*(8 km)^2

And this must be equal to 8*pi km^2

Then we can solve the equation:

(x/2)*(8 km)^2 = 8*pi km^2

(x/2)*64 = 8*pi

x = 2*8*pi/64 = pi/4

That is the measure of the angle.

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Answer:

x²/10000 + y²/1900 = 1

Step-by-step explanation:

coordinates (-100,0) and (100,0)  missing in Question

The center of the hyperbola  is  (0,0)  = (h, k)

c = the distance form the center to either focal point  = 100

c² =  100²   =  10000

The differences  from the receiver to the transmitters  =  2a

2a =  180

=> a   =  90

=> a² = 8100

b²  = c² - a²

b²  = 10000 - 8100

b²  =1900

(x - h)²/a²  + (y - k)²/b²  = 1

=> x²/10000 + y²/1900 = 1

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The present age of the Bernard is, 23.

What is age?

Given a date of birth, this free age calculator calculates age in terms of years, months, weeks, days, hours, minutes, and seconds.

Calculated using the population's arithmetic mean, average age. The median age is a factor that determines the population's average age.

As given, in 7 years Bernard will be twice as old as he was 8 years ago.

Let  the present age of Bernard = x

Bernard age after 7 years = x + 7.

Bernard age before 8 years = x - 8.

From the given information,

2(x - 8) = x + 7

2x - 16 = x + 7

2x - x = 16 + 7

x = 23

Therefore, the present age of Bernard is 23.

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We know that:

- The company offered him $46,000 per year plus 3% of his total sales.

- the average pay for this job is $64,000

And we must find what would be the sales of Andre for his pay to be at least as high as the average pay for this job

To find it we can use a equation that represents the situation

We can use the next formula

Analyzing the given information we know that

- avergare pay = 64000

- base salary = 46000

- 3% of total sales = 3% * x = 0.03 * x (x represents the total sales)

Now, replacing the values in the formula

Since x represents the total sales we need to solve the equation for x

ANSWER:

Andre should have $600,000 in his total sales for his pay to be at least as high as the average pay for this job