A zoo is creating a new exhibit that includes an aquarium in the shape of a right rectangular prism. The water level of the aquarium is 2/3 the height of the aquarium as shown. How much space, in cubic feet, in the aquarium does not contain water?

Answer:

Step-by-step explanation:63

Answer:

x = 3, −10

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

Given:

The number is 3091.

To find:

The number of hundreds blocks if there are no thousands block.

Solution:

The given number is 3091.

It can be written as:

[tex]3091=3000+0+90+1[/tex]

[tex]3091=3\times 1000+0\times 100+9\times 10+1\times 1[/tex]

[tex]3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones[/tex]

There are no thousands block. So,

[tex]3000=30\times 100[/tex]

[tex]3000=30\ Hundreds[/tex]

Therefore, the number of hundreds blocks in 3091 is 30.

Answer:

119

Step-by-step explanation:

Answer:

question 1 is,  the area is 119

question two is, the base length is  18

Step-by-step explanation:

PART ONE

To figure this out we need to know that to find the area the equation is A=1/2bh so lets create our equation

A=1/2(17)(14)

A=1/2(238)

A=119

119 is your area

PART TWO

to find out the length we need to basically reverse what we did in the first part

270*2=540

540 divided by 30 (the height)=18

18 is the base length

to show it is correct we can use these numbers to find the answer  

A=1/2(18)(30)

A=1/2(540)

A=270

Answer:

the answer is 6.8

Step-by-step explanation:

The computation is shown below:

Since we have to determined the 50th percentile play

So,

= 50(nth value) ÷ number of observations

= 50(nth value) ÷ 10

= 5th value

= 6.8

Hence the answer is 6.8

The same is to be considered and relevant

Answer:

Step-by-step explanation:

25x^2-9y^2

=(5x)^2-(3y)^2

=(5x-3y)(5y+3y)

Answer:

=2(25×-9y) okay na po bayan

Answer:

did u try looking it up lol?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Let p (x) = x + 1 / x = 2

= x + 1 = 2x

= 2x - x = 1

or, x = 1.

let g(x) = x^3 + 1/x^3

since, x = 1

therefore,

g (1) = (1)^3 +1 / (1)^3

= 1 + 1 / 1

= 2 / 1

= 2

So, the answer to your question is 2.

x + 1 / x = 2

x × ( x + 1 / x ) = x × 2

x + 1 = 2x

x - x + 1 = 2x - x

x = 1

_________________________________

x^3 + 1 / x^3 =

1^3 + 1 / 1^3 =

1 + 1 / 1 =

2 / 1 =

2

Answer:

S = 9180°

Step-by-step explanation:

Given the following data;

Number of sides = 53

To find the sum of interior angles of a 53-gon;

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sum of the interior angles

Substituting into the formula, we have;

S = 180(53 - 2)

S = 180 * 51

S = 9180°

Answer:

4

Step-by-step explanation:

Number of brownies = 1 dozen

1 dozen = 12

Fraction of brownies that had nut = 2 /6

Hence, Number of brownies dad doesn't eat :

Fraction that had nuts * number of brownies

2/6 * 12

1/3 * 12

= 4

Answer:5

Step-by-step explanation:

Answer:

Ana fica com a quantia de 560

Step-by-step explanation:

Dado

Ana ganha = 1200

Ela gasta um quinto com comida e dois terços do que resta com o aluguel

Valor que sobrou com Ana depois de gastar com comida e aluguel

1200 - 1/5 (1200) - 1/3 (1200)

1200 - 240 -400

1200 -640

560

Ana fica com a quantia de 560

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

Learn more about the probability here:

brainly.com/question/11234923

Hello there I hope you are having a Great day, Percentage increase = 36% × 170 =  36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)

Answer:

Step-by-step explanation:

Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have

[tex]6.363*10^{-4[/tex]

Answer:

C

Step-by-step explanation:

if you don't have from same x different outcomes is a function

think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)

A. not a function because (6, -3) and (6, 3)

B. not  a function because (4,7) and (4,2)

C. is a function

D. not a function because (2, -1) (2,1) (2,3)

[tex] c.\:{x}^{ - 4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]

Note:-

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

227 children and 109 adults

Step-by-step explanation:

227*1.5+109*2.5=613

227+109=336

Answer:

The surface area of the prism is 544 in²

Step-by-step explanation:

Given;

base of the triangular prism, b = 12 in

side length, = 10 in and 14 in

height = 8 in

The surface area is calculated as follows;

S.A = 2(area of the triangular face)  + area of the rectangualr faces

S.A = 2( ¹/₂ x 12 x 8)  +  2(14 x 10)  + 14 x 12

S.A = (96)  + 2(140)  +  (168)

S.A = 96  +  280  +  168

S.A = 544 in²

Therefore, the surface area is 544 in²

Answer:

approximately 157 square units

Step-by-step explanation:

To find areas of all shaded regions, find the area of each of the three triangles

Area of circle with diameter of 6, radius of 3 is:

A = π3² = 9π

Area of circle with diameter of 8, radius of 4 is:

A = π4² = 16π

Area of circle with diameter of 10*, radius of 5 is:

A = π5² = 25π

*Found this value by using the Pythagorean Theorem for the right triangle

Total Area = 50π which is approximately 157 square units

Answer:

-2 5/8

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

3-5=-2

6/8-1/8=5/8

Answer:

0.29

Step-by-step explanation:

Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35

Frequency of grade B = 10

Probability = required outcome / Total possible outcomes

Required outcome = frequency of grade B = 10

Total possible outcomes = total grade frequency = 35

P(B) = 10 / 35

P(B) = 0.2857

P(B) = 0.29

Answer:

x=19 degree

2x=2*19

=38 degree

Step-by-step explanation:

Answer:

22 times 4 1/2 divided by 2

Answer:

Step-by-step explanation:

3/2=5d-1/2 ( do cross multiplication )

3*2=2(5d-1)

6=10d-2

6+2=10d

8/10=d

4/5=d

0.8=d

Option D represents a data set with a lower quartile of 24 and an upper quartile of 42.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, the second quartile (also called median) is approximately in mid of the data.

The third quartile has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right

Hence, the box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D.

Learn more about quartiles here:

brainly.com/question/9260741

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