Nemo's aquarium is filled with 240024002400 cubic centimeters of water. The base of the aquarium is 20\text{ cm}20 cm20, space, c, m long and 12\text{ cm}12 cm12, space, c, m wide. What is the height of the water in Nemo's aquarium?

The domain is the set of all point where you can evaluate the function.

As you can see, the first piece is defined from -infinity to 2 (included).

The second piece is defined from 2 to 6 (excluded).

The third piece is defined from 6 (excluded) to +infinity.

So, the domain of the function is composed by all the real numbers which are not 6:

[tex](-\infty,6)\cup(6,\infty) = \mathbb{R}\setminus\{6\} = \{x \in \mathbb{R}\ :\ x\neq 6\}[/tex]

As for the range, it is the set of all values taken by the function. We can see that the first piece spans the y axis from 0 to infinity.

The second piece is constantly equal to 2, so it adds nothing.

The third piece spans the y axis from -2 to -infinity, so the range is

[tex](-\infty,-2)\cup[0,\infty) = \mathbb{R}\setminus [2,0) = \{x \in \mathbb{R}\ :\ x\geq 0\ \lor\ x<-2\}[/tex]

The domain is the set of all point where you can evaluate the function.

As you can see, the first piece is defined from -infinity to 2 (included).

The second piece is defined from 2 to 6 (excluded).

The third piece is defined from 6 (excluded) to +infinity.

So, the domain of the function is composed by all the real numbers which are not 6:

As for the range, it is the set of all values taken by the function. We can see that the first piece spans the y axis from 0 to infinity.

The second piece is constantly equal to 2, so it adds nothing.

The third piece spans the y axis from -2 to -infinity, so the range is

Answer:144

Step-by-step explanation: 144 since width times length times height equals volume. so 5 times 2 times ? equals 1440.  So 10 times ? equals 1440.  So next 1440 divided by 10 equals 144.  So the answer is 144.

Answer:

Step-by-step explanation:

144 cm.

Answer:

Five more than the square of a number= 5 + x²

Five more than twice a number = 5 + 2x

Five less than the product of 3 and a number = 3x - 5

Five less the product of 3 and a number = 5 -3x

Twice the sum of a number and 5 = 2(x + 5)

The sum of twice a number and 5 = 2x + 5

The product of a cube of a number and 5= 5x³

The cube of the product of 5 and a number= (5x)³

Olá

Answer:

(5x)³=

(5x) ao cubo  

5.5.5=125X³

2(x+5)= 2x+10

             2x=10

              x=10/2

                X=5

2x+5= 2x - 5 = 0  

2x = 0 + 5  

2x = 5  

x = 5/2

3x-5= 3x= +5

           X= 5/3 or X= 1,6

5+2x= 2x=-5

            X= -5/2

5+x²= x²+5  a=1 b= 5 c=0

5²-4.1.0 (corta,pois -4.1.0=0)

=25  

x= -b +/- raíz de bhaskara/ 2.a

x=-5 +/- 5/2

x'= 0/2=0

x"=  -10/2= -5

5-3x= 3x=-5

          X= -5/3

5x³ = 0   a=5 b= 0 c=0

0²-4.5.0

= 0 (duas raízes reais e iguais)

x'= 0

x"= 0

Espero ajudar♥

Answer:

[tex]\$32,526.28[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ A=\$50,000\\ r=0.043\\n=365[/tex]  

substitute in the formula above  

[tex]\$50,000=P(1+\frac{0.043}{365})^{365*10}[/tex]  

[tex]P=\$50,000/[(1+\frac{0.043}{365})^{3,650}]=\$32,526.28[/tex]  

Answer:

86.19°

Step-by-step explanation:

Let x represent the missing value.

The given trigonometric equation becomes:

[tex]\tan x=15[/tex]

We take the inverse tangent of both sides to obtain:

[tex]\tan^{-1}(\tan x)=\tan^{-1}(15)[/tex]

This implies that;

[tex]x=\tan^{-1}(15)[/tex]

We use at least a scientific calculator to evaluate this and obtain:

[tex]x=86.18592517\degree[/tex]

To the nearest hundredth, the missing value is [tex]x=86.19\degree[/tex]

Answer: 5/6

Step-by-step explanation:

Add both of the fractions.

1/6+ 2/3

Need to make the denominator the same for both fractions.

Denominator would be 6. Multiply by 2 up and down for 2/3

1/6+4/6

5/6

Answer:

Step-by-step explanation:

b.)

amplitude: 4

period; 4pi

phase shift; pi/2

vertical shift: -3

Analyzing the graph shows that the parameters are in

b. amplitude: 4

period; 4π

phase shift; π/2

vertical shift: -3

Amplitude: The amplitude of a periodic function is the measure of its maximum displacement from its average or equilibrium position.

Period: The period of a periodic function is the distance along the x-axis between one cycle of the function and the next identical cycle.

Vertical Shift: The vertical shift (or translation) of a function is a vertical displacement of the entire graph either upward or downward.

Phase Shift: The phase shift is a horizontal displacement or translation of a function.

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Answer:

.4 is the answer

Step-by-step explanation:

This is a right triangle problem.  We have one leg as .5 in length and the other leg as 1.2 in length.  The "straight" way to your grandma's house is the hypotenuse.  We need to find that length which will give us the distance straight from your house to their house if you didn't have to go out of your way to avoid the water.  The hypotenuse is found with Pythagorean's Theorem.  It will be filled in and solved as follows:

[tex].5^2+1.2^2=c^2[/tex]

[tex].25+1.44=c^2[/tex]

[tex]1.69=c^2[/tex]

and c = 1.3

That's the straight distance.  You had to go out of your way to the tune of .5+1.2 which is 1.7 miles.  You figure out how much shorter it is taking the straight path by subtracting 1.7 - 1.3 which is .4

1. Plug in " -2 " into f

f(-2) = 3 (-2) - 1

f(-2) = -6 - 1

f(-2) = -7

2. Plug in "5" into g

g(5) = -(5) + 6

g(5) = -5 + 6 = 1

3. Add what you got when you solved for f(-2) and g(5) together

f(-2) + g(5) = ?

f(-2) + g(5) = -7 + 1

f(-2) + g(5) = -6

Your answer is A

Don't forget to vote brainliest! I hope I helped! :)

F(x)= 3x -1

G(x)= -x + 6

F(-2) + g(5)= ?

F(-2)= 3(-2) -1

F(-2)= -6 -1

F(-2)= -7

G(5)= -5 + 6

G(5)= 1

F(-2) + g(5) =

-7 + 1 = -6

A) -6

What is your question??

Answer:

He will pay 916

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

When two triangles are similar, their corresponding sides are in proportion. The length of NO cannot be determined from the given information.

When two triangles are similar, their corresponding sides are in proportion. In this case, the scale factor is 3/2, meaning that the corresponding sides of triangle ABC and triangle MNO are in the ratio of 3:2.

To find the length of side NO, we can set up the proportion:

AB/MN = BC/NO = AC/OO

Since we know that AB = 3 and MN = 2, we can solve for NO:

3/2 = BC/NO

3NO = 2BC

NO = (2/3)BC

Therefore, the length of NO is (2/3) times the length of BC.

Since we don't know the length of BC, we cannot determine the exact length of NO. The answer choices provided do not match the information given, so none of the given options can be correct.

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Answer:

Unusual, because the result is less than the minimum usual value

Step-by-step explanation:

A result of 55 heads out of the 140 trials is to be considered unusual .

In a fair coin toss, the probability of getting heads (H) or tails (T) is each 0.5 (50%) because there are two equally likely outcomes. Therefore, if you were to toss a fair coin 140 times, you would expect to get heads approximately half the time, which is 140 * 0.5 = 70 times.

Consider the result of 55 heads. This result is less than the expected value of 70 heads for 140 tosses. It is slightly below what you would anticipate for a fair coin.

So this result would be unusual.

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Answer:

F

Step-by-step explanation:

You have to divide the the total number of yards lost (so 56) by 4 quarters. We know that lost yards are negative so therefore -56 divided by 4 is the answer

the answer is J) 2

because the x values are going up in twos and the yard values are adding one each time.

so

(8,1)

and

(10, 2)

hope this helps

Answer:

a + b = 63

a - b = 12

So, a - b = 12 which can also be written as a = b + 12

Then use substitution and plug in (b + 12) for a in the first equation

(b+12) + b =63

-12              -12

---------------------

2b  =  51 so b=25.5

Now, you know b which can be used to find a

63- 25.5= 37.5

So, a = 37.5 and b = 25.5

Answer:

25.5 and 37.5

Step-by-step explanation:

37.5-12=25.5

25.5+37.5=63

Answer:

3 boxes

Step-by-step explanation:

2 out of 16 boxes are flawed. So the unit rate is

[tex]\frac{2}{16}=\frac{1}{8}[/tex]

Now, to find number of flawed boxes is 24 checkings, we need to multiply the unit rate (1/8) by 24. So:

[tex]\frac{1}{8}*24=3[/tex]

The answer is 3

Answer:

Trust me the answer is 3

Step-by-step explanation:

Also please give me some Hearts

The perimeter of a rectangle si length + length + width + width or 2l + 2w. Substitute your values in to get 2(70) + 2(65) → 140 + 130 → 270 feet

Answer:

The correct answer option is A. [tex]\frac{x^{12}}{64}[/tex].

Step-by-step explanation:

We are given the following expression and we are to simplify it:

[tex] ( 4 x ^ { - 4 } ) ^ { - 3 } [/tex]

Distributing the power among the terms to get:

[tex] 4 ^ { - 3 } . 4 ^ { - 4 * - 3 } [/tex]

[tex]4^{-3}.x^{12}[/tex]

[tex]\frac{x^{12}}{4^3}[/tex]

[tex] \frac { x ^ { 1 2 } } { 6 4 } [/tex]

Answer:Options 'A' and 'C' are correct.

Step-by-step explanation:

Let the number of sheep be 's'.

Let the number of goats be 'g'.

According to question, we have given that

the number of sheep and goats are not more than 43.

The number of goats are fewer than 22.

So, the inequalities would be

[tex]g<22\\\\and\\\\s+g<43[/tex]

Hence, Options 'A' and 'C' are correct.

The two inequalities for Harold's sheep and goats situation are A. g < 22 and C. s + g ≤ 43.

To represent the situation described about Harold's sheep and goats, we need to set up two inequalities based on the given information:

Using these inequalities, we can help Harold determine how to distribute his sheep and goats in the new field.

Answer:

12%

Step-by-step explanation:

To solve this problem, we need to find the probability that someone is in the brass section and play trombone.

To do this, we can multiply the probability of someone being in the brass section and the probability of someone playing trombone.

[tex]0.5*0.24=0.12[/tex]

Therefore, it is 12% that a randomly selected band members is in the brass section and plays trombone.

Answer: 12 percent

Step-by-step explanation:

A. 1/4 because numbers 6 and 3 have 2 bigger of a chance than the other numbers, so the spinner is out of 8. Since 3 has double the chance of being landed on than 1,2,4, and 5, than the probability of the spinner landing on the number 3 is 2/8, which is simplified to 1/4

Without specific details about the spinner, it's impossible to accurately determine the probability of landing on 3. Assuming a hypothetical spinner with numbers 1-8, the answer would be C. 1/8.

The subject of your question is probability, which is a branch of Mathematics. The probability of an event is calculated by dividing the number of ways an event can occur by the total number of possible outcomes. Given your question, if we are to find the probability of landing on 3, we need to know how many '3's there are on the spinner, and how many total outcomes there are. Unfortunately, without a provided image or additional details about the spinner, it's impossible to accurately determine the probability.

Assuming a standard spinner with one '3' and eight total outcomes (numbers 1 through 8), the probability would be 1/8, so the answer should be C. 1/8. But again, this is based on assumptions, the actual answer could vary if the information about the spinner is different.

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Answer:

t = 3.1 seconds

Step-by-step explanation:

Set the equation h = -16t^2 + 40t + 30 equal to 0 (0 represents ground level).

Then h = -16t^2 + 40t + 30 = 0

Applying the quadratic formula with a = -16, b = 40 and c = 30,

      -40 ± √( 1600 - 4[-16][30] )

t = -----------------------------------------

                  2(-16)

      -40 ± √ 3520

t = -------------------------

             -32

                                                                               -40 - 59.33

Only the positive t value makes sense.  It is t = ------------------

                                                                                      -32

t = 3.1 seconds

Answer:

He earned 120% out of 150%.

Step-by-step explanation:

The test is work 150 points, while each question being 10 points each, so we can divide this and we will get 15 questions. Then we can just multiple, 10 by 12 and get 120, this means he got 12 out of 15 questions right, or 120%out of 150%.

Answer:

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100

Step-by-step explanation:

First arrange the data set 76, 100, 88, 83, 97, 94, 90, 99, 82, 86, 95, 81, 79, 95 in ascending order:

76, 79, 81, 82, 83, 86, 88, 90, 94, 95, 95, 97, 99, 100

The minimum number is 76 and the maximum number is 100. There are 14 numbers, the median is the average of two middle terms:

[tex]Med=\dfrac{88+90}{2}=89[/tex]

The middle term of first 7 numbers is 82 and the middle term of the second seven numbers is 95, so the five-number summary is

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100

Answer:

The height of the prism is [tex]1\frac{1}{6}[/tex] units ⇒ answer a

The number of blocks needed is 133 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- The volume of a rectangular prism is

→ V = Area of the base × its height

- The volume of the rectangular prism is [tex]3\frac{25}{36}[/tex] units³

- The area of its base is [tex]3\frac{1}{6}[/tex] units²

- Substitute the values of the volume and area of the base in the rule

∴ [tex]3\frac{25}{36}=3\frac{1}{6}*h[/tex]

- Divide the two sides by [tex]3\frac{1}{6}[/tex]

∴ [tex]h=\frac{7}{6}=1\frac{1}{6}[/tex] units

* The height of the prism is [tex]1\frac{1}{6}[/tex] units

- The volume of each cubic block is [tex]\frac{1}{36}[/tex] units³

- The number of blocks = volume of the prism ÷ volume of the block

∵ The volume of the prism is [tex]3\frac{25}{36}[/tex] units³

∵ The volume of each block is [tex]\frac{1}{36}[/tex] units³

∴ The number of blocks = [tex]3\frac{25}{36}[/tex] ÷ [tex]\frac{1}{36}=133[/tex]

∴ The number of blocks = 133

* The number of blocks needed is 133

Answer:

1st one is 1 1/6

2nd one is 133

I did the test on Plato and this was right :)

1.8y is the answer because first you do 3/4y into a decimals number and then it’s 0.75 then I times it by 2.4 which is 1.8y

To solve the equation 3/4 y = 2.4x for y, we multiply both sides of the equation by 4/3 to eliminate the fraction. Simplifying the equation gives us y = 3.2x. The constant of proportionality in this equation is 3.2.

To solve the equation 3/4 y = 2.4x for y, we need to isolate y on one side of the equation. First, we can multiply both sides of the equation by 4/3 to eliminate the fraction:

3/4 * y = 2.4x

y = (2.4x)/(3/4)

Next, we can simplify the equation by multiplying the numerator and denominator of the fraction by the reciprocal of 3/4, which is 4/3:

y = (2.4x) * (4/3)

y = (9.6x)/3

y = 3.2x

Therefore, the equation 3/4 y = 2.4x can be solved for y to give the expression y = 3.2x. The constant of proportionality in this equation is 3.2, which indicates that y is directly proportional to x with a scale factor of 3.2.

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Answer:4.64

Step-by-step explanation: I took the test on this and it was correct

Answer:

4.64

Step-by-step explanation:

bcuz sir ghost said so

Answer:

D! found it out for the brainly gang:)

Step-by-step explanation:

The expression represents the volume of the cone that is times the volume of the pyramid that it fits inside is Pi/4(4r²/3).

We have given that the expression represents the volume of the cone

that is times the volume of the pyramid that it fits inside

(2r^2h) (4r^2h)

The formula for the volume of a cone is ⅓ r^2h cubic units.

where r is the radius of the circular base and h is the height of the cone.

Therefore from the given we get the volume of a pyramid is Pi/4(4r²/3).

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