What is the surface area of the rectangular prism
represented by the net shown?
6 in.
1.5 in.
1.5.in.

The nature of the research is called Observational Study while the target Population is American Students.

1) In study, we survey members of a sample without trying to affect them while in experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive treatment. Thus, this is an observational study.

2) The sample is the 100 students made up of 50 boys and 50 girls.

3) The target Population are American College Students

4) The sampling method is; Simple random Sampling

5) The data is qualitative because it deals with description of feelings rather than dealing with numbers and figures.

6) It is unlikely that the results would be invalid because of sampling bias as it was only done in a private university.

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Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

Answer:

3y-15

Step-by-step explanation:

(y-7)3=3y-21

3y-21+6=3y-15

Answer:

Step-by-step explanation:

_________________________________________________

initial number of sweets               |   18                   |      18

                                                       |                          |

Sue gives Tony x sweets              |   18 - x              |      18 + x

                                                       |                          |

Sue ,eats 5 of her sweets. and   |  18 - x - 5 =       |      (18 + x)/2 =

Tony ,eats half of his sweets        | 13 - x                |     9 + x/2

Answer:

1) 600cm^3            2) 10 glasses

Step-by-step explanation:

x = total amount in ml

(3/10)x = 180ml (MILK)

x = 600ml

(2/10)600 = 120ml (TIA MARIA)

(1/2)600 = 300ml (VODKA)

1) 600cm^3

2) 600ml : 60ml = 10 (GLASSES)

Answer:

Its 43.2

I hope this helps ^^

Answer:

43.2

Step-by-step explanation:

kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters

To go right once multiply be ten

To go left once divide by ten

4.32 • 10 = 43.2

A parallelogram is a quadrilateral with four sides and the opposite sides of the parallelogram are equal and parallel.

In the given figure, AB||DC. AD is the transversal, such that:

∠A + ∠D = 180-degrees.

The parallelogram is a quadrilateral with equal such that the interior angles present on the same side of the transversal are supplementary. The sum of supplementary angles is equal to 180-degrees.

From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

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Answer:

They would have $3 dollars left over.

Step-by-step explanation:

If you divide 187 by 4, you get 46.75. But if you look again, you can see that the remainder is 3 and it can confirm that it is the left over money that the club has now after buying as many ice cream cartons as possible.

The total weight of the 100 cantaloupe is 324 pounds

The given parameters are:

Since the number of zeros in 100 is 2;

All Evans needs to do is to move the decimal point in 3.24 two places forward.

i.e. 3.24 becomes 324 when the decimal point is moved

Hence, the total weight of the 100 cantaloupe is 324 pounds

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The sentence that correctly compares the two numbers is 5385 > 5.395

Here are inequality signs and what they mean:
Note that

5385 is greater than 5.385. Thus, the correct statement is 5385 > 5.395.

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Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

Answer:

Find the area land of each town.

Let x be the area of town D

then, x+ 30000 is the area of town C

we know that,

the total area of town C and town D is 120,000 square miles.

x+x+30000=120000

2x= 90000

x=45000

Area of town D= 45000 square miles

Area of town C= 45000+30000= 75000 square miles.

Answer:

hope you can understand

Answer:

m<A = 120

m<BCD = 120

m<DEC = 30

m<BFE = 90

Step-by-step explanation:

m<A is 120 cause all internal angles equal 720 added together in hexagons. 720 ÷ 6 = 120

m<BCD is 120 cause regular hexagons have eqaul angles

m<DEC is 0 cause total of the angle of triangle of triangle EDC is 180 where m<D = 120 which leaves m<E + m<C = 60 since they are equal we can combine them to m<E • 2 = 60. Divide and we get 30

m<BFE =  90 cause m<AFB = 30 and m<AFE = 120 subtract 120 and 30 to get 90

Answer:

5 × 10¹³

Step-by-step explanation:

(1.5 × 10¹⁰) ÷ (3 × 10⁻⁴) = 50,000,000,000,000

Answer:

x = 11

Step-by-step explanation:

3/(3(2x-3)) = 2/(3x+5)

3(2x-3) = 6x - 9

3/(6x-9) = 2/(3x+5)

3(3x+5) = 2(6x-9)

9x + 15 = 12x - 18

12x - 9x = 15 + 18

3x = 33

x = 11

Answer:

[tex]\mathrm x= \dfrac{87}{10} \quad or \quad 8.7[/tex]

Explanation:

[tex]\longrightarrow \sf \dfrac{3}{4} (2x-3)=\:\dfrac{2}{3}\:x+5[/tex]

[tex]\longrightarrow \sf \dfrac{3}{2} x-\dfrac{9}{4} =\:\dfrac{2}{3}\:x+5[/tex]

[tex]\longrightarrow \sf \dfrac{3}{2} x-\dfrac{2}{3}x=5+\dfrac{9}{4}[/tex]

[tex]\longrightarrow \sf \dfrac{5}{6} x=\dfrac{29}{4}[/tex]

[tex]\longrightarrow \sf x=\dfrac{29(6)}{4(5)}[/tex]

[tex]\longrightarrow \sf x=\dfrac{87}{10} \quad or \quad 8.7[/tex]

The point R is the point which is not coplanar with points C, D and E.

We need to find the point which is not coplanar with points C, D and E.

The points that lie on the same plane are called coplanar points.

In the given figure there are five planes which are as follows:

BCUD, BRAE, BRAC, BTDE, ACUDE

Now, points C,D and E lie in plane ACUDE.

In the plane ACUDE points A, C, U, D, E and S lies.

From the options point, R is not lining in the same plane as C, D and E lies.

Therefore, the point R is the point which is not coplanar with points C, D and E.

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Answer: Transitive property of congruence

By identifying the maximums, we see that in each blank we need to write:

1) 2

2) 2

3) greater.

First, we need to find the maximum of the function g(x).

You can see that for x = 2 we have the maximum of the parabola, which gives y = 9.

Then the maximum profit is got when 2 employees earn overtime.

We also need to find the maximum for the table. Notice that the maximum value of the table also happens for x = 2, and this time the maximum is y = 16.

So we can see that the maximum of Cathy's cupcakes is larger than the maximum of Jimmy's.

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Answer:

sorting, predict, data, access, divisor, sampling

Step-by-step explanation:

The solutions to the trigonometric inequality in the interval is given by:

[tex]\frac{\pi}{6} \leq x \leq \frac{5\pi}{6}[/tex], or [tex]\frac{7\pi}{6} \leq x \leq \frac{11\pi}{6}[/tex]

It is given by:

[tex]\sin^{2}{x} > \cos{x}[/tex]

We have the following identity:

[tex]\sin^2{x} = 2\sin{x}\cos{x}[/tex]

Hence:

[tex]2\sin{x}\cos{x} > \cos{x}[/tex]

[tex]2\sin{x} > 1[/tex]

[tex]\sin{x} > \frac{1}{2}[/tex]

Between the first and second quadrant, the solution is:

[tex]\frac{\pi}{6} \leq x \leq \frac{5\pi}{6}[/tex]

Between the third and fourth quadrants, the solution is:

[tex]\frac{7\pi}{6} \leq x \leq \frac{11\pi}{6}[/tex]

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Answer: 62.5%

Step-by-step explanation:

5/8 = 0.625

0.625 x 100 = 62.5

Answer: AAS

Step-by-step explanation:

We know that [tex]\angle TSN \cong \angle HSU[/tex] because they are vertical angles, meaning the triangles are congruent by AAS.

Answer:

b

Step-by-step explanation:

answer is b

The correct interpretation of the probability P(X < 5) is; 0.8

We are given the probability of the spin values are;

Probability of Spin Value of 0 = 0.4

Probability of Spin Value of 1 = 0.2

Probability of Spin Value of 2 = 0.2

Probability of Spin Value of 5 = 0.1

Probability of Spin Value of 10 = 0.1

P(X < 5) simply means the probability of getting a spin value less than 5. Thus;

P(X < 5) = P(0) + P(1) + P(2)

P(X < 5) = 0.4 + 0.2 + 0.2

P(X < 5) = 0.8

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Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term

2 (1) -2 = 0 first term

2 (2)-2 = 2 second

2 (3)-2 = 4 third

2 (4)-2 =6 fourth

2 (5)-2 =8 fifth

5y³(y-2)-15y(y-2)

= (y-2)×(5y³-15y)