A company that manufactures and ships canned vegetables is designing boxes in the shape of square prisms to meet specific requirements. The vegetables are packed into cans that are 2.5 inches in diameter and 4 inches in height. Company regulations state that boxes must be filled with two layers of 16 cans each, and be completely closed with no overlapping material. What is the smallest amount of cardboard needed to meet the company's requirements.



They will need at least
square inches of cardboard.

Answer:

1a) the car dealer will need 33 trucks to transport the cars

1b) 32 trucks will be full

1c) there will be 4 cars in the final truck

Step-by-step explanation:

- cars = 260

- 1 truck = 8 cars

= 260 ÷ 8 = 32.5 (rounded to 32)

= 32 × 8 = 256

= 260 - 256 = 4

- trucks needed = 33

- final truck = 4 cars

Answer:

The function \(y = x\) is shifted downwards by 8 units

Step-by-step explanation:

Given

\(y = x\)

Required

Determine the transformation that gives: \(y = x-8\)

When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b

In this case:

\(y = x\)

\(b = 8\)

So, the new function is:

\(y = x - b\)

Substitute 8 for b

\(y = x - 8\)

Hence, the function is shifted 8 units downward

Answer:

21: 3and 7 factors

54: 6and 9 factors

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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Answer:

There are 0 solutions to this problem because it cannot be re-arranged logically enough to come to a new conclusion.

Answer:

0

Step-by-step explanation:

If we try to solve this question, we get no solutions:

First we subtract 5 from both sides :

9x = 9x + 2

Now we subtract 9x from both sides :

0 = 0 +2

0 = 2 ❌

This is why this equation has no solutions

Hope this helped and have a good day

Because if there all negatives the answer has to be positive therefore:

ANSWER: 2

Answer:

8 for first little numbers in each, and 6 for other 2 numbers. Total diffrence: 14.

Answer:

8 for first little numbers in each, and 6 for other 2 numbers. Total diffrence: 14.

Step-by-step explanation:

Answer:

jujjjjjjjjjjjjjjjjjjjjjjj

Answer:

In right triangle hypotenus(side facing angle 90)is the longest

Step-by-step explanation:

lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1

So by applying phythegoras theorem :

hyp^2=x^2+x^2

16^2 =2x^2

2x^2=256

x^2=128

\( \sqrt{x { }^{2} } = \sqrt{128} \)

x=

\(8 \sqrt{2} \)

Parameter=16+8

\(8 \sqrt{2 } + 8 \sqrt{2 } + 16\)

\(16 \sqrt{2} + 16\)

Answer:

c = 10

Step-by-step explanation:

Hypotnuse² = base²+height²

c²= 8²+6²

c²=64+36

= 100

100 = 10²

c = 10

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer:

Area = 12a m²

Step-by-step explanation:

Given information,

→ Length = 4a m

→ Width = 3a m

Now we have to,

→ find the area of rectangular park.

Formula we use,

→ Area = L × W

Then the area of rectangle is,

→ L × W

→ 4a × 3a

→ (4 × 3)a

→ 12a m²

Therefore, the area is 12a m².

The point in the solution set from the graph is (0, 0)

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

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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Answer:

sqrt28, 32/7, cubrt58

Step-by-step explanation:

It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.

sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)

28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.

cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.

So in order from big to small is

5...

4...

3...

which is

sqrt28,

32/7

cubrt58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.

Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.

∛58, 32/7, and √28

The expression is converted into decimal form, then we have

∛58, 32/7, and √28

3.87, 4.57, and 5.29

Then the order of the numbers from greatest to least will be

√28 > 32/7 > ∛58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

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Answer:

Part A: D

Part B: A&D :)

Step-by-step explanation:

yw

Answer:

Part A:

It is somewhat unusual for an island formed by an underwater volcano.

Part B:

“It is unknown whether the earth’s youngest island will last for long, but it has already exceeded expectations.”

"But in 2020, the island was not only still around, but had developed a thriving ecosystem."

Step-by-step explanation:

Took the test!

Answer:

yes it is

Step-by-step explanation:

y-(-9) = -6(x-(-4)), y = -6x-33

The rectangular equation for the curve is \(y = \frac{x^{2}}{2} -1\).

In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:

\(x = f(\theta), y = g(\theta) \to y = h(x)\)

If we know that \(x = 2\cdot \cos \theta\) and \(y = \cos 2\theta\), then the rectangular equation is:

\(y = \cos 2\theta\)

\(y = \cos^{2}\theta - \sin^{2}\theta\)

\(y = 2\cdot \cos^{2}\theta -1\)

\(\cos \theta = \frac{x}{2}\)

\(y = 2\cdot \left(\frac{x}{2} \right)^{2}-1\)

\(y = \frac{x^{2}}{2} -1\)

The rectangular equation for the curve is \(y = \frac{x^{2}}{2} -1\).

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Answer:

y+10=2

y=-8

Step-by-step explanation:

y=2-10

y=-8

7) The  probability that the two numbers have an even sum is: 0.5

8) The probability that the two are even is: 0.25

7) We want to find the probability that the two numbers have an even sum.

The only combinations that produces an even sum are:

(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)

The other combinations of numbers are:

(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)

Thus, we have a total of 16 combinations and the  probability that the two numbers have an even sum is:

P(two numbers with even sum) = 8/16 = 0.5

8) The probability that the two are even is:

4/16 = 1/4

= 0.25

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The required value of y for the given segment AB is given as y = 16, -8.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.

Answer:

1.66666666666666666667

Step-by-step explanation:

if rounded by the nearest tenth it is 1.7

Hope this helps :)

Answer:

10/6 = 1 and 2/3

Step-by-step explanation:

10 pounds of candy, 6 bags.

that means 10 divided by 6, or 10/6

simplify that 10-6 = 4, 6 can only be subtracted once, so it is 1 and 4/6 or 2/3

2/3 is 0.666666... so add it together and you get 1.66666... or 1 and 2/3

Answer:

-1/4

Step-by-step explanation:

Take two points on the line

(-4,-1) and (0,-2)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = ( -2 - -1)/( 0 - -4)

    = (-2+1)/ ( 0+4)

    -1/4

Answer:

expression because an equation has to have a plus +×÷ or divsion sign to be an equation

Answer:

9576

Step-by-step explanation:

Area of the triangle × height

(1/2×28×19)×36

Answer:

Pvalue = 0.1505

y = 0.550x1 + 3.600x2 + 7.300

Step-by-step explanation:

Given the data :

Study Hours GPA ACT Score

5 4 27

5 2 18

5 3 18

1 3 20

2 4 21

Using technology, the Pvalue obtained using the Fratio :

F = MSregression / MSresidual = 30.228571/ 8.190476 = 3.69

The Pvalue for the regression equation is:

Using the Pvalue from Fratio calculator :

F(1, 3), 3.69 = 0.1505

Using the Pvalue approach :

At α = 0.01

Pvalue > α ; Hence, we fail to reject H0 and conclude that ; There is not enough evidence to show that the relationship is statistically significant.

The regression equation :

y = A1x1 + A2x2 +... AnXn

y = 0.550x1 + 3.600x2 + 7.300

x1 and x2 are the predictor variables ;

y = predicted variable

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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