question 6. evaluate the expression

We will see that there are 284.2 kilograms of helium inside the ballon.

In this problem, we know the volume of helium and the density of helium.

Remember that:

density = mass/volume.

Then we can write:

mass = density*volume.

Replacing the two in the right, we get:

mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg

Then we can conclude that there are 284.2 kilograms of helium in the ballon.

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Answer:

1. a=3

2. a=3

3. a=9

Step-by-step explanation:

1. 9/a+9-4=12-56/8+3

We move all terms to the left:

9/a+9-4-(12-56/8+3)=0

Domain of the equation: a=0

a∈R

We add all the numbers together, and all the variables

9/a+9-4-8=0

We add all the numbers together, and all the variables

9/a-3=0

We multiply all the terms by the denominator

-3*a+9=0

We add all the numbers together, and all the variables

-3a+9=0

We move all terms containing a to the left, all other terms to the right

-3a=-9

a=-9/-3

a=+3

Answer:

4x + 5x = 180

9x = 180

x = 180/9

x = 180 ÷ 9

x = 20

Answer:

blue i think good luck

Answer:

By multiplying -2 by 5 you get:

Step-by-step explanation:

- 10

Answer:

s = 3, j = 14

Step-by-step explanation:

The full perimeter is 35.

The given sides we have are 7, 2, 4, 5, and the two missing ones.  We will call the two missing ones j and s. (according to your drawing.)

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The side with the number 7 on it is equal to the side with the number 4 and s.

Can you see that?  Even if it's not a direct side, it is under it. (if you can't see that comment below.)

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Now since we know that we can make an equation:

7=4+s

Subtract 4 on both sides.

3=s.

We now have the length of s, which is 3.

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Since we now know what s is, we can add them all up once more.

3+5+7+2+4=21

You said the full perimeter is 35.  This means j has to be 35-21, which is 14.

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This drawing is not drawn to scale, I assume you are drawing this for practice.

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Good luck on your test!

Answer:

Step-by-step explanation:

Answer:

62, since positive doesn't change to negative.

ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.

[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]

Answer:

22 divided by 6 is about 3.67

Step-by-step explanation:

Answer:

D. 29

Step-by-step explanation:

If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b

= 4•6 + 5

= 24 + 5

= 29

4a means 4 times a. Multiply first, and then add.

Answer:

5.25 centimeters

Step-by-step explanation:

Simply put, each stitch is 1/8 of a centimeter long.

42 stitches would be 1/8 * 42 centimeters long.

Multiply that and we get 5.25 centimeters.

Answer:

x = 30

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+2x+3x = 180

Combine like terms

6x= 180

Divide each side by 6

6x/6 = 180/6

x = 30

radius= 4 m

the volume of the given sphere.

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]

[tex]v = 267.9466667 \: {m}^{3} [/tex]

[tex]v = 267.95 \: {m}^{3} [/tex]

therefore, the volume of the given sphere is 267.95 cubic meters.

[tex]\large\boxed{\bold{Formula: V= \frac{4}{3}\pi{r}^{3}}}[/tex]

[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]

In this question the radius is given so we'll simply have to substitute and solve.

Let's solve!

Substitute the values according to the formula.

Instead of π we are asked to use 3.14

[tex]V= \frac{4}{3}\times\ 3.14\times{4}^{3}[/tex]

Calculator answer:

[tex]\bold{V= 267.9466667 \:{m}^{3}}[/tex]

Now, we can round off to the nearest hundredth.

The value in thousandths place is greater than 5 so, we will have to round up by adding 1 to the hundredths place.

Final answer:

[tex]\large\boxed{\bold{V= 267.95 \: {m}^{3}}}[/tex]

Hence, the volume of the given sphere is 267.95 cubic meters.

Answer:

[tex]2x = x + 15[/tex]

Step-by-step explanation:

Angle AGH and GHD are corresponding angles, meaning they are equal. So in order to find the equation that can be used to solve for x we need to equate both angles AGH and GHD to each other.

[tex]m < AGH\: \: \: = \: \: \: m < GHD \\ (x + 15) = (2x) \\ 15 = 2x - x \\ 15 = 1x \\ 15 = x[/tex]

They did not ask us to solve for x but I did it in case, however we can see that the answer we got corresponds with

[tex] (1) \:2x = x + 15[/tex]

Corresponding angles are equal

Option A

Answer:

GCF: 3 , While answer to addition problem is 36.

Step-by-step explanation:

* Help me with mine please thanks*

Answer:

The answer would be: √x+3=13

Step-by-step explanation:

A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.

The option with √x would be only √x+3=13

Answer:

Step-by-step explanation:

Angles 1 and 3 form a linear pair so they sum to 180°.

Substitute the values and solve for x

Find the measure of ∠1

Answer:

60

Step-by-step explanation:

[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]

Answer:

30%

Step-by-step explanation:

percentage = (discount/total amount)*100

= (8.40/28)*100=30%

Answer:

900000

Step-by-step explanation:

the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.

Answer:

720km

Step-by-step explanation:

12000 steps = 2 feet * 12000 = 24000 feet

= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm

= 720000cm = 720000 / 1000 = 720km

Answer:

Sn=a1(1−rn)1−r,r≠1 C.

Answer:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help

Step-by-step explanation:

Answer: 9

Explanation: Because pi is included in the answer, you won't be multiplying pi with it.
The only number that equals to 18 is 9.
By using the formula for circumference is: 2πr
2 x 9 = 18
Add pi, 18π.

Expand the integrand:

[tex](2x - 3) (4x^2 + 1) = 8x^3 - 12x^2 + 2x - 3[/tex]

Then integrate using the power rule:

[tex]\displaystyle \int (8x^3-12x^2+2x-3) \, dx = 2x^4 - 4x^3 + x^2 - 3x + C[/tex]

By the fundamental theorem of calculus, the definite integral has a value of

[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=2} - \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=0}[/tex]

[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = 32 - 32 + 4 - 6 = \boxed{-2}[/tex]

The exterior angle and x form a straight line which need to equal 180.

x = 180-70 - 110

Answer: x = 110

For the given triangle the required measure of angle is 110°.

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Since we know  that,

The angle of a line is 180 degrees.

Therefore, for the given triangle,

x° + 70° = 180°

Subtract 70° on both sides,

x°  = 110°

Hence,

The measure of x° is 110°.

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