What is the theoretical probability of
randomly picking a triangle from the shapes
below?

Based on Rachel's work, we can deduce and conclude on the following: options A, C and E.

Based on Rachel's work shown in the image attached below, we can deduce and conclude on the following:

The function is continuous because for every hour given, there is always a value for the cups of juice. Thus, its graph would be linear and have a straight line.

Also, the scenario is represented by a linear function because the rate of change is constant. Lastly, for every additional hour, 53 cups of juice are poured.

In conclusion, time represents the independent variable while number of cup of juice is an independent variable.

Read more on functions here: https://brainly.com/question/4246058

Answer:

45 mph

Step-by-step explanation:

It took the car 4 hours to travel 180 miles

Then

It took the car 4/4 hours to travel 180/4 miles

Since 4/4 = 1 and 180/4 = 45

Then

It took the car 1 hours to travel 45 miles

Therefore ,the car was it going at 45 mph

Answer:

19.6

Step-by-step explanation:

A = πr²

A = (3.14159)(2.5 in.)²

A = 19.6 in.²

Answer:

26

Step-by-step explanation:

welll i have no clue just guess i cant even read the question

Answer:

5 for both.

Step-by-step explanation:

Multiplying exponents rule with like bases;

Add powers with like bases.

So, if we look at x to the power of the blank multiplied by x to the power of 5, we know that 5 added to that unknown/blank power would equal in 10(using the multiplication of exponents rule), because in the results it says x^10.

Thus,

x to the power of __       ·       x to the power of 5 = x to the power of 10

And, 5 would make a solution for the blank, because;

x to the power of 5      ·       x to the power of 5 = x to the power of 10, which is true because their exponents added together would be 10 → (5 + 5).

Now, if we look at y to the power of 3 multiplied by y to the power of the blank, we know that 3 added to the unknown/blank power would equal in 8(using the multiplication of exponents rule) because in the results says y^8.

Thus,

y to the power of 3       ·       y to the power of __ = y to the power of 8

And, 5 would make a solution for the blank, because;

y to the power of 3       ·       y to the power of 5 = y to the power of 8,  which is true because their exponents added together would be 8 → (3 + 5).

Overall you're basically just multiplying all those exponents together.

Answer:

x=-7

y=2

Step-by-step explanation:

6x+9y=-24

3y=6

therefore, 9y=18,

and 6x=-42

x=-7

y=2

Step-by-step explanation:

2/5(x+4) - 3/5(2x+3) = 2/5(2-x)-1

2/5(x+4)-3/5(2x+3) = 2/5x-1/1(2-x)

2/5(x+4)-3/5(2x+3) = -2/5(2-x)

2/5x+8/5 - 6x/5 + 9/5 = -4/5 - (-2x/5) (-x- = +)

2x/5 + 8/5 - 6x/5 + 9/5 = -4/5 + 2x/5

(take like terms)

2x/5 - 6x/5 - 2x/5 = -4/5 - 9/5 - 8/5

( Find their L.C.M ) (5 is the LCM)

2x - 6x -2x / 5 = -4 - 9 - 8 / 5

-10x / 5 = -13 / 5

( cross multiply)

-50x = -65

x = -65/50

x = -1.3 ( decimal)

or x = 13/10 (improper fraction)

or x = 1 ³/10 ( mixed fraction).

Hope this helps.

Good luck.

If you have any questions, you're free to ask.

Step-by-step explanation:

Square root is equivalent to 1/2 power:

[tex] {(9 {a}^{16} {b}^{36} )}^{ \frac{1}{2} } [/tex]

Square root of 9 is 3. Multiply the exponents by 1/2 to get:

[tex] 3{a}^{8} {b}^{18} [/tex]

Answer:

[tex]y+7=-\dfrac23(x-1)[/tex]

Step-by-step explanation:

Use the point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies y-(-7)=-\dfrac23(x-1)[/tex]

[tex]\implies y+7=-\dfrac23(x-1)[/tex]

Answer:

23.6

Step-by-step explanation:

[tex]c=2\pi r[/tex]

The diameter of the cirle is 7.5 m. To find the radius you would take half of the diameter.

7.5 / 2 = 3.75

[tex]c=2\pi 3.75[/tex]

Then you multiply them

your answer is

23.5619

then you round

23.6

Hope this helps!

Answer:

0.700 is the answer follow me please please

Answer:

Hi

Step-by-step explanation:

The net change in the volume of the water in the tank in liters would be  100 liters.

We can calculate the released in released with the released between the water released from the water released .

Quantity of water pumped in per minute = 45 liters

Quantity of water released per minute = 25 liters

Number of minutes = 5 minutes

Total water pumped in = 45 liters × 5 minutes

= 225 liters

Total water released = 25 liters × 5 minutes

= 125 liters

Net change in the volume of the water in the tank in liters

= Total water pumped in - Total water released

= 225 liters - 125 liters

= 100 liters

Learn more about cylindrical shape:

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Answer:

75 percent is your answer

Answer: A its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if y = 0

0 = -2x + 4 _ eq 1

0 - 4 = -2x

-4 = -2x

divide through by 2

x = -4 ÷ -2

x = 2

if x = 0

y = -2(0) + 4_ eq 2

y = 0 + 4

y = 4

:.(x,y) = (2,4)

Answer:

Both figures have an area of (6hl) by Cavalieri's Principle for two-dimensional figures.

Step-by-step explanation:

Math Nation

The rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar. Then the correct option is B.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The rectangle EFGH is dilated of the rectangle ABCD with a center of the dilation at the origin.

From the figure, it is clear that the rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar.

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

40

Step-by-step explanation:

40 because 39 will round up to 40 by 1

The probability in percentage that the next customer will pay with a debit card will be 68.42%.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

She knows that in the last week, 13 customers paid cash, 39 customers used a debit card, and 5 customers used a credit card.

The probability that the next customer that will pay with a debit card will be given as,

P = 39 / (13 + 39 + 5)

P = 39 / 57

P = 0.6842 or 68.42%

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

50%

Step-by-step explanation:

The end goal here is to find the total area of the entire figure from the center to the outer radius D. Then take the ratio of region B with respect to the total area, which will give you the probability of landing in the area B.

Circle A has a radius of 4. Circle B has a radius of 8. Circle C has a radius of 12. Circle D has a radius of 16. Therefore, the total area of the dartboard is given by:

[tex]A_{total}=\pi r^2=\pi (16)^2=256\pi[/tex]

The area of the region B can be found by thinking of region B as a shaded region between two concentric circles A and C. The area of the circle C is given by:

[tex]A_C=\pi r^2=\pi (12)^2=144\pi[/tex]

The area of circle A is given by:

[tex]A_A=\pi r^2=\pi (4)^2=16\pi[/tex]

Therefore the area of region B would be:

[tex]A_B=144\pi -16\pi =128\pi[/tex]

Finally, the probability of landing in region B would be:

[tex]P=A_B/A_{total}=128\pi /256\pi =0.5[/tex]

Answer:

704 cubic units

Step-by-step explanation:

First let's calculate the volume of the cube. The formula to calculate the volume of a cube is V = a^3, a being the edge length of the cube. So we need to cube the value of a, which is 8. 8 cubed is 512 cubic units.

Now we need to calculate the volume of the triangular prism. The formula to calculate the volume of a cube is V = 1/2b * a * h, a being the side edge length of the prism, b being the height of the triangular side, and h being the base edge length of the triangular side, if that makes any sense (easier to explain visually). h and a are equal to the given a, which is 8 in this case. And b in the formula is equal to b in the given problem. So we substitute the values into the formula: V = (1/2*6) * 8 * 8 = 3 * 64 = 192 cubic units.

Now we take the sum of both of the figures:

512 + 192 = 704 cubic units.

Answer:

Step-by-step explanation:

Answer:

$404.17

Step-by-step explanation:

(19700 - 19700/2 -5000) / 12 =

Answer:

in the lefthand direction

Step-by-step explanation:

in  |x + 6| , the +6 means that it shifts left by 6 units

if it was -6, it was should right by 6 units

Answer:

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Step-by-step explanation:

ok so your computer is

saying:

x^2  + 5x = 2

and takes the 5 divides it by 2  and squares the result

x^2  + 5x  +  25/4    =   2 + 25 /4   but then   replaces a trinomial with a binomial

(x + 5/2)^2  =  2 + 25/4 =  33/4

solving

x = -5/2  + root(33/4)   or   x = -5/2 - root(33/4)

or

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Answer:

C and D

Step-by-step explanation:

correct on edge

Answer:

56 in

Step-by-step explanation:

Square ....so each side is = x

x * x = area = 196

x^2 = 196

x = sqrt (196) = 14 in

perimeter = x  + x + x + x = 56 in

Answer:

56 inches

Step-by-step explanation:

Given,

Area of square = 196 square inches

To find : Perimeter of the square = ?

Formula : -

Area of square = side²

side² = 196

         = 14 x 14

side² = 14²

side = 14 inches

Formula : -

Perimeter of the square = 4 x side

perimeter of the square

= 4 x 14

= 56 inches

Answer:

24 balms

Step-by-step explanation:

2 hours is 120 minutes

120 minutes / (5 minutes/balm)  = 24 balms

Answer:

n is less than 9.

Answer:

[tex]\boxed{\tt (6,-7)}[/tex]

Step-by-step explanation:

[tex]\tt 4x + 2y = 10\\x - y = 13[/tex]

First Let's solve for x in x-y=13

[tex]\tt x-y=13[/tex]

Add y to both sides:

[tex]\tt x=13+y[/tex]

Now, Substitute x=13+y into 4x+2y=10:-

Let x=13+y

[tex]\tt 4(13+y)+2y=10[/tex]

[tex]\tt 52+6y=10[/tex]

Now, let's solve for y in 52+6y=10:-

[tex]\tt 52+6y=10[/tex]

Subtract 52 from both sides:-

[tex]\tt 6y=10-52[/tex]

[tex]\tt 6y=-42[/tex]

Divide both sides by 6:-

[tex]\tt \cfrac{6y}{6} =\cfrac{-42}{6}[/tex]

[tex]\boxed{\tt y=-7}[/tex]

Now, we'll Substitute y=-7 into to x=13+y to find "x":-

[tex]\tt x=13+y[/tex]

[tex]\tt x=13+-7[/tex]

[tex]\boxed{\tt x=6}[/tex]

___