a container is in the shape of a square based prism with base measurement of 3m and the height is 5m. The top and bottom are made of steel and the sides are made of aluminum. If steel costs $2.95/m^ and aluminum costs $1.57/m^, how much would it cost to make the container?

Answer: Number 5. is B-7CM

Number 8. is y=2/x

Step-by-step explanation:math

Answer:

i Used the standard form to find the vertices.

Vertex

1: (5,−1+4√2)

Vertex

2: (5,−1−4√2)

Step-by-step explanation:

Answer: B

Step-by-step explanation: Maximum slope for hand-propelled wheelchair ramps should be 1" of rise to every 12" of length (4.8 degree angle; 8.3% grade). To the nearest hundredth would be 4.76 so, B.

2.5 m/s²  is the distance between the traffic lights .

Defining acceleration Short response?

   from the picture V = 15 m/s

                           t = 6 sec

  a = Δv/Δt  = 15/6  ⇒ 2.5 m/s²

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In the picture there are two tape diagram. From the tape diagram we got x as 7 and y as 18.

Given that,

In the picture there are two tape diagram.

1st diagram is A and 2nd diagram is B.

Diagram A has 3 blocks are x and the total of those diagram is 21.

We get,

x+x+x=21

3x=21

x=21/3

x=7

Now,

Diagram B has 2 blocks are y and 3 and the total of those diagram is 21.

We get,

y+3=21

y=21-3

y=18

Therefore, from the tape diagram we got x as 7 and y as 18.

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Answer:

32 ounce box of fruit loops is a better deal

Step-by-step explanation:

32 ounce of fruit loops is about $0.12 an ounce

24 ounce box of Honey Nut Cheerios is about $0.14 an ounce

Answer:

If area of sector = area of circle

1/3π(r+4)^2= πr^2

r^2-4r-8 =0

A sector is a cut out section of a circle. It is of two radii and an arc .

The area of a sector is angle substended/ 360 x area of a circle

area of a circle is πr^2

if area of circle is equal to the area of sector

120/360×π(r+4)^2=πr^2

divide both side by π

1/3(r+4)^2=r^2

multiply both sides by 3

(r+4)^2=3r^2

opening the bracket

(r+4)(r+4)=3r^2

r^2+ 8r +16=3r^2

3r^2-r^2- 8r -16=0

2r^2- 8r -16=0

divide all by 2

r^2- 4r -8=0

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1.0000 percent is the probability that all 12 flights will arrive on time.

So, the problem meets all requirements for a binomial experiment, written as:

[tex]P(X=x)\left(\begin{array}{l}n \\x\end{array}\right) p^x(1-p)^{n-x}[/tex]

Now, p=0.85 and n=14, the probability that precisely 14 people arrived on time are calculated as follows:

[tex]\begin{aligned}&P(X \geq 1)=1-P(X=0) \\&=1-\left(\begin{array}{c}12 \\0\end{array}\right) 0.85^0(1-0.85)^{12} \\&=1-1.297 \times 10^{-10} \\&=1.0000\end{aligned}[/tex]

Therefore, 1.0000 percent is the probability that all 12 flights will arrive on time.

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The complete question is given below;
Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places. Find the probability that all 12 of the flights were on time.

The distance when F = 0.029 based on the computation is 5.1 meters.

From the information, the force, F between two objects is inversely proportional to the square of the distance.

This willilk be illustrated as:

F = k / D²

We will find the value of k. This will be:

F = k / D²

0.084 = k / 3²

0.084 = k / 9

Cross multiply

k = 9 × 0.084 = 0.756

Therefore, the distance when F = 0.029 will be:

D² = k / F

D² = 0.756 / 0.029.

D² = 26

D = ✓26

D = 5.1

The distance is 5.1 meters.

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8.6 8.63 8.66 8.611 8.641 8.691

The dimensions of the college basketball court with a perimeter of 96 meters are:

The dimensions of a rectangular perimeter, like a basketball court, are the two sides (length and width).

The perimeter of a rectangle measures the four sides, that is, the two long sides and two wide sides.

The perimeter is given by the perimeter equation, P = 2(a+b).

The perimeter of the basketball court = 96 meters

The perimeter = 2(Length + Width)

2(Length + Width) = 96 meters

Length = 14 meters more than the width

The total difference of the two lengths = 28 meters (14 x 2)

Width = 17 meters (96 - 28)/2

Length = 31 meters (17 + 14)

Check:

Perimeter = 2(Length + Width)

96 meters = 2(31 + 17)

96 = 62 + 34

96 = 96

Thus, the college basketball court with a perimeter of 96 meters has the following dimensions: 31 meters in length and 17 meters in width.

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The correct answer is 20%

We know,

1 m = 100 cm

thus 1.5 m will be 150 cm (1.5 x 100 = 150cm)

now, to find 30 cm as a percentage :

(30/150) x 100

=20 %

Thus, 30cm 1.5 can be expressed, as  20%.

What do you understand by percentage?

percentage- "a relative value indicating hundredth parts of any quantity." Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

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Matching the trigonometry formula to its ratio, we get

4/3 → tan A

4/5 → sin A

3/5 → cos A

From the question, we are to match the given trigonometry formulas to their correct ratios.

From SOH CAH TOA, we have that

sin (angle) = opposite / hypotenuse

cos (angle) = adjacent / hypotenuse

tan (angle) = opposite / adjacent

Considering angle A,

Opposite = 16

Adjacent = 12

Hypotenuse = 20

Thus,

tan A = 16 / 12 = 4 / 3

sin A = 16 / 20 = 4 / 5

cos A = 12 /20 = 3 / 5

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Answer:  8x + 3, where x is the number of hours

Answer:

1062.50

Step-by-step explanation:

Interest = PRT / 100.

= 12000 × 12.5 × 17 /100 × 24

= 1062.50

Answer:

Mike is not correct.

Step-by-step explanation:

The opposite of 5 is in fact -5, but the absolute value of 5 is not -5. The absolute value of 5 is 5.

Answer:

It is the setup.

Step-by-step explanation:

Only 6 is negative. The 11 also needs to be negative.

Step-by-step explanation:

Splitting the middle term

8a^2 +16a + 2a+4 =0

8a (a+2) +2(a+2) = 0

(8a+2) (a+2)

8a=-2 , a = -2

a= -2/8

a= -1/4

a ( -1/4 , -2)

The most appropriate choice for similarity of figures will be given by

Volume of cylinder B is 720 [tex]cm^2[/tex]

What is similarity of figures?

Two figures are said to be similar if they have same shape but different sizes.

Actually sides of similar figures are proportional

Ratio of heights of cylinder A and B = 5 : 10

                                                            = 1 : 2

Ratio of areas of cylinder A and  cylinder B = [tex]1 ^2 : 2^2[/tex]

                                          = 1 : 4

Area of cylinder A = [tex]18[/tex] [tex]cm^2[/tex]

Area of  cylinder B = [tex]18 \times 4\\[/tex]

                                = [tex]72[/tex] [tex]c[/tex][tex]m^2[/tex]

Height of  cylinder B = [tex]10 cm^2[/tex]

Volume of cylinder B = Area of cylinder B [tex]\times[/tex] Height ofcylinder B

                     = [tex]72 \times 10[/tex]

                     = [tex]720[/tex] [tex]cm^2[/tex]

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Complete Question

The image of the question has been attached with this question.

Answer:

I think this is the answer

Step-by-step explanation:

The value for the volume of the room is 31. 84  cubic centimeters(cm³)

The mass of the air in the room is  41. 39 kg

The formula for calculating the volume of the room is expressed as;

Volume = l × w × h

Where;

From the information given, we have to substitute the values of the measurements of the room into the formula.

We have;

Volume, v = 4. 02 × 3. 37 × 2. 35

Volume, v = 31. 84 cubic centimeters(cm³)

To determine the mass of the air in the room, we use the formula for mass which is expressed as;

Mass = Density × volume

Given that;

Substitute the values

Mass = 1. 3 × 31. 84

Mass = 41. 39 kg

Hence, the volume is 31. 84  cubic centimeters(cm³)

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Answer:

Step-by-step explanation:

Distance covered in 1 minute= 1.8x 10^7 kilometers

So, by unitary method,

distance covered in 8 minutes= 1.8 x 10^7 kilometers x 8

                                                  = 14.4 x 10^7 kilometers

The ordered pairs in the solution set of the system of linear inequalities y ≥ -1/3x +2 and y < 2x + 3 are (2, 2), (3, 1), and (4, 2).

Given linear inequalities represented in the graph are:

y ≥ -1/3x +2

y < 2x + 3

In the graph, the shaded region above the solid line denotes the inequality,

y ≥ -1/3x +2

The shaded area on the right side of the dotted line denotes the inequality's solution set,

y < 2x + 3

And the common area of these inequalities will denote the solution set of the system of linear inequalities.

Ordered pairs are (2, 2), (3, 1), and (4, 2) and will therefore be located in the shared shaded area.

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1. Month for assistance caregivers is 14 months.

Month for senior caregivers will be 14 months.

2. After 2 month, there will be 14 of each types of caregiver.

What is an expression?

Expression in math is defined as the collection of the number, variables and functions by using signs like addition, subtraction, multiplication, and division.  

Given that;

A daycare center in Hillsdale currently has 12 assistant caregivers and 6 senior caregivers.

On high demand the owner is going to be hiring 1 assistant caregiver per month and 4 senior caregivers per month.

Let m is number of months.

Then, Each month has 12+ m for assistant caregivers and 6 + 4m for senior caregivers.

By given condition we formulate;

12 + m = 6 + 4m

12 - 6 = 4m - m

6 = 3m

3m = 6

m = 2

Thus, 12 + m = 12 + 2 = 14

And, 6 + 4m = 6 + 4 x 2 = 14

So, After 2 month, there will be 14 of each types of caregiver.

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Answer:

mperpendicular = −2/5

Step-by-step explanation:

Hi! The total amount in the jar did not post properly. can you provide this?

A round plane figure whose boundary ( circumference) consists of the points equidistant from a fixed point (the center). In the above question Pedro was wrong.

All the points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in plane draws to keep its distance from a specific point constant.

The tactic Pedro frequently used is ineffective since applying strict transformation to one figure and then onto another will only demonstrate whether the figures are congruent, not whether they are comparable.

Keep in mind that resemblance, as opposed to congruence, is about the proportionality between the dimensions of those figures. Therefore, when we overlay the figures, they won't match.

Pedro should divide each set of matching coordinates to demonstrate similarity; if all divisions provide the same outcome, the figures are said to be comparable.

Therefore, Pedro was not wrong.

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According to the solution Angle 3 is measured at 48 degrees.

Adjacent angles seem to be two angles that share a side and then a vertex but do not overlap at all (corner point). It is clear what is meant when the term "adjacent angles" is broken down; they are just two angles that seem to be close to one another.

Adjacent angles seem to be two angles that do not overlap but share a vertex and a side. In the figure, angles 1 and 2 are close by. Both their common side and vertex are the same.

Angle 3 and angle 132 degrees are nearby angles in this scenario.

Consequently,

angle3 plus 132 degrees equals 180 degrees.

angle 3 = 48 degree

angle 3 = 180-132 degree

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The unit rate is 10 minutes per meters.

What is rate of time?

Time is in units of seconds, minutes, hours, or years. Rate is distance per time, so its units could be mph, meters per second, or inches per year.

rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute.

Given,

she fills 4/5 meters in 8 minutes.

let x be the time she fills minutes per liter.

4/5 meters ⇔ 8 minutes

1 meter ⇔ x minutes

Cross multiplying

4/5*x = 1*8

x = 5*8/4

x = 10 minutes

The unit rate is 10 minutes.

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Answer:

40

Step-by-step explanation:

[tex]m \angle 2=20^{\circ}[/tex] (angle sum of triangle)

[tex]m\angle 1=40^{\circ}[/tex] (angle sum of triangle)