What happens when a barrel goes over the waterfall?

a. The barrel speed stays the same

b. The barrel slows down.

c. The barrel speeds up.

d. The barrel stops


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Answer:

12 units squared.

Step-by-step explanation:

The formula for the area of a trapezoid is 1/2(base1+base2)*height.  First, add the two bases together.  4+8=12.  Then multiply that number by both 1/2 and the height, 2.  1/2*2*12 equals 12 units squared.

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Work Shown:

n = number of sides = 6

i = measure of interior angle

i = 180(n-2)/n

i = 180(6-2)/6

i = 180(4)/6

i = 720/6

i = 120

Each interior angle of this regular hexagon is 120 degrees.

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Alternative Approach:

E = exterior angle

E = 360/n

E = 360/6

E = 60

Each exterior angle of this regular hexagon is 60 degrees

i+E = 180

i = 180-E

i = 180-60

i = 120

We get the same answer.

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer:

37.5*i

Step-by-step explanation:

4√88*√-1

4*(9.4)*i

37,7*i

The equation is x=-6

Step-by-step explanation:

In standard form the equation is y=4

And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a

so that is why the equation is x=-6

Answer:

= -5

Step-by-step explanation:

Answer:

The slope is 1

Step-by-step explanation:

[tex]\frac{3-0}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

just look at the graph fam its 18 pens

The interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).

Domain of a function is the set of all the possible input values which are valid for that function. Range of a function is the set of all the possible output values which are valid for that function.

The given function is,

[tex]f(x) = x^2 + 2[/tex]

The domain of this function is all real numbers. As the quadratic function has the constant value of 2. The vertex of the function is at 0,-2. Thus, the range of this function is,

[tex]y\in R, y\geq -2[/tex]

Thus, the interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).

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Answer:

is it 20% I'm not really sure

Answer:

$71.74

Step-by-step explanation:

Given:

Old price of the jacket  = $ 80

Discount = 15 %

Therefore, discounted price =

Now, sales tax = 5.5 % on discounted price =

Therefore, the new price of the jacket after discount and paying sales tax is given as:

New price = Discounted price + Sales tax

New price = $ 68 + $ 3.74 = $ 71.74

So, the new price of the jacket is $ 71.74.

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

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Answer:

4 months

Step-by-step explanation:

Answer:

4 months

Step-by-step explanation:

Answer:

7+x3

Step-by-step explanation:

Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.

Answer:

x = 9.6

Step-by-step explanation:

Answer:

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Hope that helped happy holidays!

Answer:

95% of house sizes lie between 955.7 and 1454.1 square feet.

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

In the above question,

Mean (μ)= 1204.9 square feet

Standard deviation (σ) = 124.6 square feet.

We are to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet.

Step 1

We have to find the number of standard deviation from the mean

μ – xσ

1204.9 - 124.6x = 955.7

1204.9 - 955.7 = 124.6x

249.2 = 124.6x

x = 249.2/124.6

x = 2

μ + xσ

1204.9 + 124.6x = 1454.1

124.6x = 1454.1 - 1204.9

124.6x = 249.2

x = 249.2/124.6

x = 2

Therefore from the calculation above, it is 2 standard deviations from the mean, hence: from the empirical formula above,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

Answer:

1 to 6

Step-by-step explanation:

the ratio is found by dividing 18 by 3 which is 6.

basically, one squirrel per 6 acorns

Answer:

294 inches

Step-by-step explanation:

Similar figures have congruent corresponding angles and proportional corresponding sides.

The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.

Probability 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.

Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.

2+5+4 =11

Expect the 13 people/students who didn't play,

Total people 24

P = 24-13=11

P = 11/24

The probability will be equal to 11/24.

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Answer:

i believe it only has one solution, which would be x=12.

Step-by-step explanation:

Answer:

write Then finding matrix the system as a matrix equation, solve a matrix equation by the inverse of the coefficient , S 4X-5v=lle 25x-ley=19 X-ley= 19

Step-by-step explanation:

its in answer

Answer:

Mary

Step-by-step explanation:

just do it trust me

Answer

not a function

Step-by-step explanation:

Answer:

kk

Step-by-step explanation:

ok

Step-by-step explanation:

[tex]Expression: \frac{40}{y - 16} [/tex]

[tex]When \: y=20, \: the \: value \: of \: the \: expression \: is \: \frac{40}{4} = 10 [/tex]

Answer:

Y=8x-9

Step-by-step explanation:

Answer:

the answer is 2×2×3 I think

Answer:

The Chine family installed 24 square yards

Step-by-step explanation:

Make an equation:

$249 prior to installing carpet

$9: per square yard, 9 can be represented as 9x because we don't know how many square yards are being installed  

$465: total spent

9x + 249 = 465

subtract 249 from 465

then divide 9 by whatever 249 - 465 equals  

Answer:

Presumably when they refer to the number of zeros, they're talking about co-ordinates with a y value of zero.  In that case, the answer is C, The graph has no zeros.

Answer:

could you explain it more

Step-by-step explanation: