The diameter of a circle is 10ft. What’s its area and round to the nearest tenth

Question 1

Answer: C) First and last term

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Explanation:

Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.

The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.

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Question 2

Answers:

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Explanation:

Apply the square root to the first term to get

sqrt(81v^2) = sqrt( (9v)^2 ) = 9v

Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.

Similarly, the square root of the last term is

sqrt(100) = sqrt(10^2) = 10

So that's why the answers are 9v and 10 for the blanks.

We can say:

(a+b)^2 = a^2 + 2ab + b^2

(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2

(9v+10)^2 = 81v^2 + 180v + 100

Answer:

Step-by-step explanation:

Given data:

Mass of the liquid ( m ) = 550 kg

Volume of the liquid ( v ) = 680 litre

= 680*10-3 m​​​​​​3

 = 0.68 m​​​​​​3

Now, Density of the liquid = (m/v)

= (550 kg )/(0.68 m​​​​​​3​​​)

= 809 kg/m​​​​​​3

The density of the liquid is 1,090 kilograms per cubic meter.

The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object. Then the density D will be given as,

D = m / v

First, convert the volume into cubic meters. Then we have

⇒ 1.4 x 0.001

⇒ 0.0014 m³

The density of the liquid is calculated as,

Density = (mass ÷ volume)

Density = (1,526 g ÷ 0.0014 m³) ÷ 1,000

Density = 1,090 kg/m³

Therefore, the density of the liquid is 1,090 kg/m³.

More about the density link is given below.

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Answer:

0,4,7

Step-by-step explanation:

you take the input number like 8 subtract it by 4 to get the output

Answer:

'x-4' are 4-4;  8-4;  11-4

Outputs are 0, 4, 7

Step-by-step explanation:

'x - 4' for:

4 = 4-4 = 0

8 = 8-4 = 4

11 = 11-4 = 7

∴ Outputs are 0, 4, 7

Answer:

It’s the 3rd one

Step-by-step explanation: it’s the 3rd one

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]

which rounds to

2539.47

b.)

using the same equation we can write

[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]

not sure how to round this, so I'll leave that part up to you

Answer:

100 π

Explanation:

Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.

First, half the 20m to 10m since the radius is 1/2 of the diameter.

Next, plug this into the formula to get the answer:

π 10^2

π 100

100 π is the answer, since it is looking for it in terms of π.

Answer:

A≈314.16m²

Step-by-step explanation:

I cant write it down lol, I promise its right! :)

Answer:

4th option

10x + 32 / x(x+8)

Step-by-step explanation:

Answer:

im about to get visous on gta so its 70%

Step-by-step explanation:

Answer:

The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).

Step-by-step explanation:

Answer:

20 mm (C)

Step-by-step explanation:

Answer:

81°

Step-by-step explanation:

all triangles = 180°

9514 1404 393

Answer:

  maximum: +2

  minimum: -8

Step-by-step explanation:

The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...

  5(±1) -3 = -3±5 = +2, -8

The maximum of f(x) is +2; the minimum is -8.

Answer:

The answer is B

Step-by-step explanation:

Answer:

you can use law of sines

Plug in the values (lol sorry i dont have time)

x / sin(angle)  =  y / sin(angle)

Where x and y are separate sides.

Hope this Helps! :3

Answer:

nearest tenth?

Step-by-step explanation:

your answer would be .663

Simplify to the tenth would be  make it .7

Answer:

Part 1: 2.4 + x

Part 2: 4(2.4 + x) = 14.8

Step-by-step explanation:

2.4 + x is the total distance covered every day.

We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.

Extra: Here's how to work out x!

4(2.4 + x) = 14.8

9.6 + 4x = 14.8

4x = 5.2

x = 1.3

Hope that helps!

Answer:

The one that is not equivalent to the others is:

2 + 2 + 2 + 2 + 2

Step-by-step explanation:

this is because all of the other ones are equal to 32. This one equals to 10.

Answer:

D :)

Step-by-step explanation:

The extreme values theorem does not apply, and f(x) has a maximum but not a minimum. Option D is correct.

A graph has shown in the image, It is to determine whether the extreme value theorem applies.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

The extreme value theorem comprises that if a function is continuous on a defined interval [a,b], then the function must have a maximum and a minimum in the interval. Since in the graph the function does not have the minimum and is not defined for the closed interval. The function has a maximum on the left side of the graph but starts with the discontinuity on the left side so the Extreme value theorem does not hold.

Thus, The extreme values theorem does not apply, and f(x) has a maximum but not a minimum.

Learn more about graphs here:

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Answer:

D. 45,000

Hope this helps :)

Answer:

6 inches fell an hour

6x30 =180 so One hundred eighty inches in 30 mins

Step-by-step explanation:

Answer:

0.5 in per hour

16.2 in 30 hours

Step-by-step explanation:

If you want to find the amount of rain that falls in one hour, divide 13 by 24

13/24=  0.541 inches per hour

Then multiply this by 30

0.541 x 30 = 16.23

Since they want you to round to the nearest tenth, your answers would be:

0.5 in per hour

16.2 in 30 hours

Answer:

680 sales

Step-by-step explanation:

20% of 680 is 136.

So her 64 for a week plus the 136 from sales is 200.

Hope this helps

Brainliest would be appreciated

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

Answer:

Step-by-step explanation:

9x-4>4x+7

-4x

5x-4>7

+4

5x>11/5

x>2.2

Answer:

9x-4x>7+8

5x > 15

X >3

So the answer is x >3

Answer:

[tex]\frac{64}{2^3}[/tex]

Step-by-step explanation:

[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]

Answer:

ira can make 4 pizzas

Step-by-step explanation:

Answer:

40 and 41.

Step-by-step explanation:

81/2 = 40.5, thus 40 and 41