The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in3 = 0.00433 gal)


13 in.20 in.13 in.


The amount of water left is about


gallons.

Answer:

-1

Step-by-step explanation:

Evaluate for x=0

sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2

sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2

= −1

Answer:

sinx

Step-by-step explanation:

sin^2 + cos^2 = 1 (pythagorean identity)

therefore we take the square sin and cos out to make a 1

sin2x + sinx + cos2x - 1 sinx sinx - 1 sinx - 2

left with sinx -1 +1 =

sinx because the 1s cancel out

Answer:

x = - 6/7

Step-by-step explanation:

To start, 1x is just 1 times x, which you can just write as x.

x+3 = 8x+9

Then, you can bring x over to the other side of the equation, meaning it becomes -x. You can also think about subtracting x from both sides so it cancels out on the left.

3 = 8x+9-x

Next, do the same for the 9, so your equation looks like this:

3-9 = 8x-x

Just simplify it:

-6 = 7x

Finally, divide -6 by 7 to find x.

So, x = -6/7

Answer: 73.71

Step-by-step explanation:

Answer: $73.71

Step-by-step explanation:

Answer:

CD

Step-by-step explanation:

Apex

The name of the savings account that offers higher interest rates, but in which a person's money must stay deposited for a specific amount of time is B. CD.

Money market account, Certificates of deposits (CD) and the regular savings account are all different types of savings account.

Regular savings account has only lower interest rate while both CD and Money market account have higher interest rates.

And the money must be stayed in the account for a fixed period of time in CD accounts. This is not required in the money market accounts.

Thus, CD is the correct answer.

Learn more about Savings Account here :

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Answer:

Step-by-step explanation:

y and 76 are vertically opposite angles

x and z are vertically opposite angles

Linear pairs.

If sum of two adjacent angles are 180, then they are linear pair.

x & 76 are linear pairs

y & z are linear pairs

z & 76 are linear pairs

x and y are linear pairs

Solutions:

y = 76   { vertically opposite angles are equal}

x + 76 = 180  { linear pair}

x = 180 - 76

x = 104

z = x  {Vertically opposite angles are equal}

z = 104

Answer: 460 Workers

Step-by-step explanation: This is pretty simple, we know there's 198 men...and the ratio is 3:4.

198 ÷ 3 = 66

66 * 4 = 264

There are 264 female workers, and 196 male workers...

264 + 198 = 460

In total, there are 460 workers.

I hope this helps!

Answer:

To convert from a decimal to percent, multiply a decimal by 100 and add the percent sign.

Example: 0.10 becomes 0.10 x 100 = 10%

Example: 0.22 becomes 0.22 x 100 = 22%

To convert from a percent to a decimal, divide a percent by 100 and remove the percent sign.

Example: 10% becomes 10/100 = 0.10

Example: 22% becomes 22/100 = 0.22

Hope this helps!

:)

Answer:

7.1 m

Step-by-step explanation:

A cube has 6 congruent square faces.

Given the surface area = 302.46 m² then the area of one face is

302.46 ÷ 6 = 50.41 m²

The area of a square = s² ( s is the side length ), thus

s² = 50.41 ( take the square root of both sides )

s = [tex]\sqrt{50.41}[/tex] = 7.1 m

The length of each side of the cube is 7.1 m

Answer:

c = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 48² + 14² = 2304 + 196 = 2500 ( square root both sides )

c = [tex]\sqrt{2500}[/tex] = 50

Answer:

1 hour

Step-by-step explanation:

Let's assume that Patrick is travelling on a straight line throughout the whole path in order to minimize the distance.

The number of miles that he can travel on a full tank is:

[tex]m = 5\ mpg*4\ gallons\\m=20\ miles[/tex]

The distance travelled by Patrick in one hour (from 2p.m. to 3p.m.) is:

[tex]d^2=6^2+8^2\\d=\sqrt{100}\\ d=10\ miles[/tex]

If he is travelling at 10 miles per hour, and he could travel for a total of 20 miles, then the time remaining before the tank runs out of gasoline is:

[tex]t=\frac{20-10}{10}\\ t=1\ h[/tex]

If he continues at this rate, the gas will last for 1 more hour.

So the right options are:

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

20%

Step-by-step explanation:

25x.20=5

25-5=20

This question is incomplete because it lacks the appropriate diagram. Find attached to this answer the complete diagram

Question:

Find the area of the shaded segment. Round your answer to the nearest square centimeter.

a) 24 cm²

b) 23 cm²

c) 21 cm²

d) 22 cm²

Answer:

d) 22 cm²

Step-by-step explanation:

We have Area and a Triangle in that diagram.

In other to find the shades segment , we have to find the Area of the triangle and the Area of the sector

Step 1

Area of a Triangle

= 1/2 × a × b × sin θ

Where θ = 120°

a = 6 cm

b = 6 cm

Area of the triangle = 1/2 × 6 × 6 × sin 120°

= 15.59 cm²

Step 2

Area of the sector

The formula is given as

Area = πr²θ/360

r = radius = 6cm

Area = π × 6² × 120/ 360

Area = 37.699111843cm²

Approximately = 37.70 cm²

Step 3

The Area of the shaded segment = Area of the sector - Area of the triangle

= 37.70cm² - 15.59cm²

= 22.11 cm²

Approximately to the nearest square centimeter

= 22 cm²

Answer:

B.

Step-by-step explanation:

12.25 for n CD's

5.75 for u CD's

the total is 765

22 are more sold for more used than new

Answer: B) 12.23n + 5.75u = 765: u = n + 22

Step-by-step explanation: took the quiz.

Answer:

y= (2/3)x - 4

Step-by-step explanation:

To answer this you'll want to use the slope intercept form of a line:

y= mx + b

So to solve essentially you just have to find the values for m and b

- m represents the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

You can figure that b = -4 because the line will cross the y-axis when x = 0, and you are given the point on the line (0,-4), where x is equal to 0.

Now to find the slope of the line, since you are given two points on the line you will want to use the slope equation:

slope = [tex]\frac{y1-y2}{x1-x2}[/tex]

So you can assign each of the two points a number (1 or 2) where its values are equal to (x1, y1) or (x2, y2). It does not matter which point gets which number.

In this example:

We will assign the point (6,0) to be (x1, y1),

and we will assign the point (0, -4) to be (x2, y2)

So we end up with the following:

m= [tex]\frac{0- (-4)}{6-0}[/tex]

m=  [tex]\frac{0+4}{6}[/tex]

m=  [tex]\frac{4}{6}[/tex]

Simplify the fraction:

m = [tex]\frac{2}{3}[/tex]

From there you just substitute in for m and b into the slope intercept equation

Answer:

2

Step-by-step explanation:

14x + 2 = 30

14x = 28

x = 2

Answer:

x =2

Step-by-step explanation:

9x + 2+ 5x = 23 +7

Combine like terms

14x +2 = 30

Subtract 2 from each side

14x +2-2 = 30-2

14x = 28

Divide each side by 14

14x/14 = 28/14

x = 2

Answer:437.63

Step-by-step explanation:

Answer:

437.96

Step-by-step explanation:

:)

Answer:

Well, Your best choice will be is B, and D.  

Step-by-step explanation:

Because, Choice B.

9 + 16 = 25

. So, Choice B is the right answer.

Then, Choice D.

64 + 255 = 289. So, Choice D. is the right answer.

Good Luck!~

[tex]^{Brazts[/tex]

Answer:

b and d

Step-by-step explanation:

edinuity

Answer:

Personally, the steepest ladder I would be willing to climb would be a ladder with 2 meters long, that's it, because I don't like hights.

On the other hand, the shallowest ladder would be the nearest to the ground level possible, because, as I said before, I don't like being to far away from ground level.

(The question asked a personal perspective)

Answer: 3m+2=-10 does not have the same solution as the rest of the equations

Step-by-step explanation:

3m+2=-10 (m= -4)

2-3m=-10 (m=4)

-10=-3m+2 (m=4)

-3m+2=-10 (m=4)

-3m+2=-10 (m=4)

Step-by-step explanation:

Russia is 0.35 20 Russia I said the answer is the answer is 0.35 CC 0.3522

Answer: A  y= -4x + 2

Step-by-step explanation:

y= mx + b

when x is 0, y is 2 which you make the y intercept (b) 2

going from x=0 to x=1, the y coordinate moves down 4, so the slope would be -4

:)

Answer:

4sqrt(3) inches

Step-by-step explanation:

The ratio of the lengths of the legs of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The long leg is sqrt(3) times the length of the short leg.

Here, the short leg measures 4 inches.

long leg = sqrt(3) * short leg

long leg = 4sqrt(3) inches

Answer:

a = - 7

Step-by-step explanation:

Given

5 + 2a = - 9 ( subtract 5 from both sides )

2a = - 14 ( divide both sides by 2 )

a = - 7

Answer:

a = -7

Step-by-step explanation:

5 + 2a = -9 {Subtract 5 form both sides}

5 + 2a - 5 = -9 - 5

2a = -14

Divide both sides by 2

2a/2 = -14/2

a = -7

Answer:

10

Step-by-step explanation:

The range is the largest number minus the smallest number

34 - 16 =18

The interquartile range is the right side of the box minus the left side of the box

29-21 = 8

Range - IQR = 18-8 = 10

Answer:

10

Step-by-step explanation: i got it right on test

So the answer is 12p-7q-4

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

12p - 7q - 4

Step-by-step explanation:

In the absence of instructions here, I can only assume that you want to simplify this expression.

4p + 8p - 32 - 7q + 28  =  12p - 7q - 4

Answer:

C. 23%

Step-by-step explanation:

C. The probability that the student takes Spanish or French is 23%

If two events can not occur together at same time, then the events are called mutually exclusive.

If two events are mutually exclusive, then,

P(A∪B) = P(A)+P(B)

And If two events are not mutually exclusive, then,

P(A∪B) = P(A)+P(B)-P(A∩B)

In central high school,

15% of the students take Spanish language = P(A) (say)

12% of the students take French language = P(B) (say)

& 4% of the students take both the languages = P(A∩B)

Since some of students take both languages, so this is not mutually exclusive.

The probability that the student takes Spanish or French is P(A∪B).

∴ P(A∪B) = P(A)+P(B)-P(A∩B)

               = 15%+12%-4%

               = [tex]\frac{15}{100}+\frac{12}{100}-\frac{4}{100}[/tex]

               = [tex]\frac{15+12-4}{100}[/tex]

               = [tex]\frac{23}{100}[/tex] = 23%

Hence, Required probability is 23%

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Answer:

f(8) = f(1)+35

Step-by-step explanation:

f(8) = f(7) + 5

We are adding 5 each time

f(7) = f(6)+5

f(6) = f(5) +5

f(5) = f(4)+5

f(4) = f(3) +5

f(3)=f(2)+5

f(2)=f(1)+5

f(8) = f(7) + 5

Replacing

f(8) = f(6)+5 + 5

f(8) = f(5)+5+5 + 5

f(8) = f(4)+5+5+5 + 5

f(8) = f(3)+5+5+5 + 5+5

f(8) = f(2)+5+5+5+5 + 5+

f(8) = f(1)+5+5+5+5+5 + 5+5

f(8) = f(1)+35

Answer:

f(8) = f(1)+35

Step-by-step explanation: