A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 2 ft by 2 ft by 12.5 ft. If the container is entirely full and, on average, its contents weigh 0.22 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.

For the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

The given parameter is:

Perimeter = 36 units

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have;

36 = 2 * (Length + Width)

Divide both sides by 2

Length + Width = 18

This means that for the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

So, the possible table of values is:

Length  Width

  5           13

  8           10

  9           9

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Answer:

the ratio of girls to the total number of students is 26:40

Step-by-step explanation:

in other words, 26 to 40 or 26/40 but your teacher is MOST LIKELY looking for the answer 26:40.

Answer:

26:40

Step-by-step explanation:

The question is asking for the ratio of girls to total students. First rewire the question as girls:total students. There are 26 girls and 40 students total so, substitute the values that are given in the right places, and you get 26:40.

Answer:

=23x−55

Step-by-step explanation:

Let's simplify step-by-step.

4(2x−5)+5(3x−7)

Distribute:

=(4)(2x)+(4)(−5)+(5)(3x)+(5)(−7)

=8x+−20+15x+−35

Combine Like Terms:

=8x+−20+15x+−35

=(8x+15x)+(−20+−35)

=23x+−55

Answer:

22x-55

pemdas works too i guess

Answer:

O 9

Step-by-step explanation:

Subtracting a negative turns it into addition. So this becomes 20 + 3 - 10 - 6 + 3 + 2 - 3.

Going through this problem looks like this: 23 - 10, 13 - 6, 7 + 3, 10 + 2, 12 - 3. And you get 9.

Answer:

the answer is 9.

Step-by-step explanation:

Answer:

Hello!

I'm currently new to Log, but can help in the best way possible.

We can rewrite this into exponential form:

(x+3) = 4^1 + 4x^1

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

If not shown correctly, above, further apologize.

If factored and isolated;

1-xlog(4) = log(256x)

x

≈

0.03710403

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

#Team Trees #Team Seas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

Answer: x=1

Step-by-step explanation: plato

Sara's score is 10.5; Hamza's score is 2.5; Luna's score is 8. The inequality for Mario's score is M ≥ 23 - X - Y - K - Z.

c) Let H be Hamza's score. Then we have the equation H + 4.5 = 7. Solving for H, we get:

H = 7 - 4.5 = 2.5

Therefore, Hamza's score is 2.5.

d) Let L be Luna's score. Then we have the equation L - 4 = 4. Solving for L, we get:

L = 4 + 4 = 8

Therefore, Luna's score is 8.

e) Let M be Mario's score. Then we have the inequality:

X + Y + K + Z + M ≥ 23

We can rearrange this inequality as:

M ≥ 23 - X - Y - K - Z

This represents the minimum score that Mario needs to achieve in order for the sum of all scores to be at least 23. Since we don't know the values of X, Y, K, and Z, we can't determine a specific value for M.

However, we can graph this inequality on a coordinate plane to see the possible values of M that satisfy the inequality.

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Answer:

dv = attached below

dr = 0.05 cm

dh = 0.2 cm

Approximate volume of metal = 2.8 * π  cm^3

Step-by-step explanation:

height of can ( h ) = 10 cm

diameter = 4 cm ;  r = 4/2 = 2cm

thickness of metal in top and bottom = 0.1 cm

thickness of metal in sides = 0.05 cm

attached below is the detailed solution

Answer:

Simplified:

− 8 x ^3 + 6 x ^2 − 8 x + 9

It is the same thing in standard form.

Step-by-step explanation:

I hope this helps! Have a nice day!

In linear equation , 2n/7 is Expression for the quotient .

What in mathematics is a linear equation?

Let the number = n

A quotient is the result of a division.

the quotient of twice a number = 2n

= 2n/7

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

the answer is

Step-by-step explanation:

15+8/4=8

15+8=32

32÷4=8

Answer:

15+18/4=8.25

Step-by-step explanation:

if u divide 33 by 4

Answer:

The 48-ounce carton is the cheapest

Step-by-step explanation:

The question gives us the prices of different sizes of bottles of orange juice. It then asks us to calculate the price per ounce for each size and to find which size is the cheapest.

In order to calculate the price per ounce for each size, we have to divide the price of each size by its size:

• 8-ounce bottle:    \(\mathrm{\frac{\$ 0.90}{8 \ oz}}\) = $0.113 / oz

• 18-ounce bottle:  \(\mathrm{\frac{\$ 1.50}{18 \ oz}}\) = $0.083 / oz

• 48-ounce bottle:  \(\mathrm{\frac{\$ 2.50}{48 \ oz}}\) = $0.052 / oz

• 64-ounce bottle:  \(\mathrm{\frac{\$ 3.75}{64 \ oz}}\) = $0.059/ oz

As we can see from the calculation above, the price per ounce of the 48-ounce carton is the lowest, at $0.052 / oz.

Answer:

THE ANSWER IS 81/16 OR C

Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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The correct option A: 2 complex roots will be obtained from the given quadratic equation.

The quadratic formula's section under square root is the discriminant.

The number of solutions to the given quadratic equation depends on the discriminant, which can be positive, zero, or negative.

Given quadratic equation:

x² - 3x + 7 = 0  ..eq 1

standard form of quadratic equation:

ax²  + bx + c = 0  ..eq 2

On comparing eq 1 and eq 2

a = 1, b = -3 and c = 7

Check the value of discriminant:

D = b² - 4ac

D = (-3)² - 4*1*7

D = 9 - 28

D = - 19

D < 0 (No real roots)

As, rational as well as irrational both are real number, so only option that satisfy the obtained condition is:

A: 2 complex roots.

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The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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The required mean height of the ocean at first high tide is 1.81 meters. Option A is correct.

Given that,
The list below shows the height, in meters, of an ocean's first high tide for each of 6 days.

Number of days =  1       2     3      4      5       6            Total = 6
                              1.72  1.8    1.86 1.88  1.74   1.86                  

The average of the values is the ratio of the total sum of values to the number of values.

Since the mean of the heights of the tides,
= sum of heights / number of heights observation
=  (1.7 + 1.8 + 1.86 + 1.88 + 1.74 + 1.86)/6
= 10.86/6
= 1.81 meters

Thus, the required mean height of the ocean at first high tide is 1.81 meters. Option A is correct.

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Answer:

C. 6.39

its right behind 6.4, therefore it's 6.39.

Carol should decide on the average of the two anticipated numbers. She must thus decide to select  \(\frac{13}{24}\).

Probability is an area of mathematics that examines the possibility that a particular event will occur. In most cases, the probability values for the specified experiment are specified between a range of numbers. The values fall in the range of 0 and 1. A negative number cannot be the probability value. Experimental probability, also known as Empirical probability, is based on actual experiments and adequate recordings of the happening of events. For Alice's number, the anticipated value is \(\frac{1}{2}\) and the expected value of Bob's number is \(0.5*[\frac{1}{2} +\frac{2}{3} ]\). Carol should pick the middle between these two projected figures to increase her chances of winning. She must thus choose \(0.5*[\frac{1}{2} + \frac{7}{12} ]\) = \(\frac{13}{24}\). Alternatively, once we recognize that the answer lies in the interval \((\frac{1}{2},\frac{7}{12} )\), it is straight forward that she has chosen the right number.  

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Answer:

1

Step-by-step explanation:

hope this helped you!!

your answer will be (x+3)(x+4)

Answer:

Step-by-step explanation:

You would scale up the recipe to make a greater portion to accomodate for 75 crepes.

Answer: They resold them for $30 more than the original price.

Answer: 37.5%

Step-by-step explanation:

$80 - $50 = $30,

$30/$80 = 0.375 > 37.5%

The value of the expression is 16x(x+1) / 10x² -14x -12

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given expression is

16/(x-2)  ÷ 4/(x+1) + 6/x

Simplify this to have

16 / (x-2) ÷ (10x + 6) / (x+1)(x)

this implies that 16/(x-2) * (x+1)(x)/(10x +6)

16(x² + x)/(x-2)(10x+6)

Therefore the value of the expression is

16x(x+1) / 10x² -14x -12

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