When planning space exploration, scientists face many
challenges. One issue is the weight of the items being
transported. They can use the engineering design process
to help minimize the weight of materials on board a
spacecraft.
The engineering design process starts with a statement of the problem to be
solved. Which sentence best states the problem described above?
O A. Metal is stronger than plastic, but it is also much heavier.
OB. Space vessels must carry heavy equipment but also minimize
weight.
O C. The longer a space flight will last, the more equipment must be
carried
D. Lower gravity on the Moon means that objects weigh less on the
Moon than on Earth.

Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by:

[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

71

Step-by-step explanation:

The mean is the average. There are two ways to do this question shown.

1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-

88+100+76+92+83=439.

439/5=87.8

The current average is 87.8. Now, you can add and divide again.

439+71=510. 510/6=85.

You now have the answer. However, you might want to check again.

439+76=515

515/6=85.833....3

It is more than 85, so the answer is 71.

2- Find out how much more all the numbers are than the smallest number.

First, I'll organize it.

-76, 83, 88, 92, 100-

The smallest number is 76, so subtract 76 from each.

0, 7, 12, 16, 24 added up together is 59.

59/5=11.8

76+11.8=87.8

That also gives you that the average is 87.8.

You can then see how much or less the number is than the average and then add.

71 is five LESS than the average, so it's -5.

54/6=9.

9+76=85.

Thus, 71

120 sq.un

Here given the following,

Answer:

  25.5

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(49°) = x/(22.2 m)

Multiplying by the denominator, we get ...

  x = (22.2 m)tan(49°) ≈ 25.5 m

The unknown side is about 25.5 meters.

Answer:

[tex]\sqrt{22.25}[/tex]

Step-by-step explanation:

4 ^ 2  is 16

2.5 ^ 2 is 6.25

16 + 6.25 is 22.25

The square root of 22.25 is undefined so...

[tex]\sqrt{22.25}[/tex]

Answer:

-5

Step-by-step explanation:

Your equation will look like this:

3x+9=-6

Subtract 9 from both sides.

3x+9−9=−6−9

3x=−15

Divide both sides by 3.

3x/3=−15/3

x=−5

Hope this helped!

The asked number is -5

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, nine more than three times a number is -6​, we need to find the number,

Let us consider the asked number be x

Establishing the equation, we get;

3x+9 = -6

Subtract 9 from both sides.

3x+9-9 = -6-9

3x = -15

Divide both sides by 3.

3x/3 = -15/3

x = -5

Hence, the asked number is -5

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Answer:

The answer to the equation is: x + y ≥ 45

because In the question "Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?" Since the total time he spent on both is 45 minutes or more, it means that the sum of x and y is greater than or equal to 45. Therefore, the required equation is x + y ≥ 45

Step-by-step explanation: can u give brainliest please i am the fisrt person to answer u

Jamaal spent x minutes practicing guitar and y minutes on homework -> the total time he spent on both is x + y

It says that the total time is 45 minutes or more, which means the time he spent must be at least 45 minutes or above.

So, the option that fits the most is x + y ≥ 45

Answer:

by looking in the copy and learning the tips or step how to do it

Answer:

For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.

Step-by-step explanation:

Hope this helped you understand it better

~Heaven~

Answer:207x10^-7

Step-by-step explanation:

Answer:

2.07*10^-7

Step-by-step explanation:

Answer:

48 made a purchase

Step-by-step explanation:

8% of 600

= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )

= 8 × 6

= 48

Answer:

7290ft^2

Step-by-step explanation:

60*30=1800

then multiply that by 4 because of the 4 rectangle

1800*4=7200

multiply 30*30 to get 90 then add that on

7290

Answer:

I'm not 100% sure but I think it is 200.96 in (201 in if rounded)

Step-by-step explanation:

Answer:

200.96 inches squared

Step-by-step explanation:

The radius of the pizza is 8(half of the diameter).

The formula for are of a circle is pie*radius^2.

So you would do 3.14 * 8^2.

8^2 is equal to 64.

Your new equation is 3.14 * 64, which equals 200.96.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{8}{9} [/tex]

Hence, the correct choice is D

Answer:

  D)  8/9

Step-by-step explanation:

There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...

__

The sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)

__

As with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]

  [tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]

The result can be reduced by cancelling common factors in this process.

  [tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]

__

For this method, both the dividend and the divisor need to be expressed over the same denominator.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]

We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.

  [tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]

Answer:

128

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of cylinder:

[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]

Bottom cylinder:

1 inch = 2.54 cm

 diameter = 14 in

r = 14/2 = 7 in

r = 7 *2.54 = 17.78 cm

h = 4 in = 4*2.54 = 10.16 cm

Volume = 3* 17.78 * 17.78 * 10.16

             = 9635.59 in³

Upper cylinder:

diameter = 12 in

r = 12/2 = 6in

r = 6*2.54 = 15.24 cm

h = 12 in = 12*2.54 = 30.48 cm

Volume = 3 * 15.24 *15.24 * 30.48

             = 21237.63 in³

Volume of the object = 9635.59 + 21237.63                  

                                     = 30873 cm³

Answer:42.83 i think

Step-by-step explanation:

Answer:

42.83

Hope this helps and have a great day!!!

ENJOY!

Answer:

x = 10.76 cm

Step-by-step explanation:

[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]

[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]

Hope this helps

To identify whether or not a triangle is a right triangle, it must satisfy the pythagorean theorem :  [tex]a^{2}+ b^{2} =c^{2}[/tex] (where a;b;c represent the 3 sides, and c being the hypotenuse)

Replace the lengths :
Triangle 1 : [tex]1^{2} + 610^{2} \neq 810^{2}[/tex] (not right triangle, also does not satisfy the triangle inequality, so not a real triangle)
Triangle 2 : [tex]7^{2} + 7^{2} \neq 13^{2}[/tex] (not right triangle)
Triangle 3 : [tex]313^{2} + 413^{2} \neq 513^{2}[/tex] (not right triangle)

So, correct answer is D

Answer:

y = 40

Step-by-step explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40

Answer:

20%

Step-by-step explanation:

It was reduced by 20%. 24 is 80% of 30.

[tex]\textbf{7).}\\\\2g^2 +5g+3\\\\=2g^2 +3g+2g+3\\\\=g(2g+3)+(2g+3)\\\\=(g+1)(2g+3)\\\\\\\textbf{10).}\\\\-6k^2+5k+21\\\\=-(6k^2 -5k-21)\\\\=-(6k^2-14k+9k-21)\\\\=-\textbf{[}2k(3k-7)+3(3k-7) \textbf{]}\\\\=-(2k+3)(3k-7)\\[/tex]

Answer:

We all know that if one factor is equal to zero, then the product of all factors is equal to zero.

[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]

You have to rewrite the equation as a factored quadratic set both equal to zero.

Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex]  to  [tex](2-2)(-2+2) =0[/tex]

[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]

I hoped this helped

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   [tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]

That means 510 people showed up

Hope that helped!

Answer:

They did the multiplication incorrectly

Step-by-step explanation:

Answer:

You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.