What is the volume of the following triangular prism?
5 cm
15 cm
4 cm
cubic centimeters. You must submit your neat and organized work once you have submitted the test.
Write only the number.

10 points need fast

Answer:

Dr Khan will add 5 liters of 20% acetic acid solution.

Step-by-step explanation:

Dr Khan is combining two solutions of acetic acid with the given concentrations of 20% and 60% respectively.

Let the amount of 20% acetic acid, he added to get 10 liters of 40% solution = 'a' liters

Volume of 60% solution used will be = (10 - a) liters

Now the equation will be,

Amount of solution (1) × 20% + Amount of solution (2) × 60% = Amount of final solution × 40%

[tex]a\times \frac{20}{100}+(10-a)\times \frac{60}{100}=10\times \frac{40}{100}[/tex]

20a + 60(10 - a) = 400

20a + 600 - 60a = 400

600 - 40a = 400

40a = 600 - 400

a = [tex]\frac{200}{40}[/tex]

a = 5 liters

Therefore, Dr Khan will add 5 liters of acetic acid to get 40% acetic acid solution.

Solution:

Let the amount of 20% acetic acid, he added to get 10 liters of 40% solution = 'a' liters

Volume of 60% solution used will be = (10 - a) liters

Equation will be,

Amount of solution (1) × 20% + Amount of solution (2) × 60% = Amount of final solution × 40%

a*20/100+(10-a)*60/100=10*40/100

20a + 60(10 - a) = 400

20a + 600 - 60a = 400  

600 - 40a = 400

40a = 600 - 400            

a=200/40

a = 5 liters

Thus, Dr Khan  need to create 5 liters of acetic acid to get 40% acetic acid solution.

Learn more :

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Answer:

The answer is option A

The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).

Hope this helps.

Answer:  137π

The usual formula for a circle centered at (a,b), with radius r,

(x - a)² + (y - b)² = r²

The area of the circle is πr², so 137π

Answer:

About 238.07 miles

Step-by-step explanation:

The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side. Therefore:

[tex]\tan 38=\dfrac{186}{x} \\\\x=\dfrac{186}{\tan 38}\approx 238.07[/tex]

Hope this helps!

Answer:

yes sure continue with questions

Answer:

1/2

Step-by-step explanation:

with one dice the probability is 1/6 as equal chances for each number from 1 to 6

with 3 dices it is 3 times more: 3*1/6= 1/2

Answer:

The probability the Rams scored at least 20 points is 62.5%

Step-by-step explanation:

Data form histogram:

No. of points                        No. of games

0-9                                                 2

10-19                                              4

20-29                                            5

30-39                                            3

40-49                                            2

Now we are supposed to find the probability the Rams scored at least 20 points

So, we are supposed to find the probability the Rams scored 20 or more than 20

So, Total no. of games = 2+4+5+3+2=16

No. of games where score is 20 or more than 20 =5+3+2 = 10

So,  the probability the Rams scored at least 20 points = [tex]\frac{10}{16}=0.625[/tex]

So, the probability the Rams scored at least 20 points is 62.5%

Hence Option D is true .

Answer:

h = 7 cm

Step-by-step explanation:

Formula

[tex]V=\frac{1}{3}\pi r^{2} h\\ \\65,94cm^{3} =\frac{1}{3}*3,14*9*h\\ \\197,82=28,26*h\\\\h=197,82:28,26\\\\h=7~cm\\\\al3xis[/tex]

Answer:

All the above can be the math skills useful in planning an effective budget.

Answer:

Step-by-step explanation:

Answer:

18 cubic units

Step-by-step explanation:

There is 12 cubes on the bottom layer and 6 on top layer. Adding those two number together, give you a total 18 cubic units.

Answer:

(2.5 , 0)

Step-by-step explanation:

Given points C and D. the coordinates of point P that partitions CD such that CP:PD=m:n can be calculated using the formula:

[tex]x=(\dfrac{m}{m+n})(x_2-x_1)+x_1$ , y=(\dfrac{m}{m+n})(y_2-y_1)+y_1\\\\$Now, (x_1,y_1)=C(5,-1), (x_2,y_2)=D(-5,3),$ m:n=1:3\\Therefore:\\x=(\dfrac{1}{1+3})(-5-5)+5\\=(\dfrac{1}{4})(-10)+5\\=\dfrac{-10}{4}+5\\\\x=2.5[/tex]

Similarly:

[tex]y=(\dfrac{1}{1+3})(3-(-1))+(-1)\\=(\dfrac{1}{4})(4)-1\\=1-1\\y=0[/tex]

Therefore, the coordinates of P is (2.5,0)

Answer:

7/9

Step-by-step explanation:

since they have a common denominator, you could just add 2 and five together to get 7.

Answer:

Step-by-step explanation:

[tex]\frac{2}{9}+\frac{5}{9}[/tex]

[tex]\frac{2+5}{9}[/tex] When you have the same denominator you just have to add the numbers above

= [tex]\frac{7}{9}[/tex]     This is the answer.

I hope this help you :)

Answer:

900 min = 15 hours

Step-by-step explanation:

when we convert the velocities of the ships into miles/ min we get

45mph = 45m/60min = 0.75m/min

36mph = 36m/60min = 0.6m/min

The equations determining the distances  of the ships from the port M (set at x=0) are

D1 = 0.75t (for 45mph ship)

D2 = 162 + 0.6(t-45) (for 36mph ship)

The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.

Answer:

The equation is:

[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

(where [tex](h, k)[/tex] represents the center and [tex]r[/tex] the radius).

-Use the given center and radius for the equation of a circle:

[tex](x - 0)^2 + (y - 4)^2 = \sqrt{3} ^2[/tex]

After, you have the equation of a circle written, simplify the radius by the exponent [tex]2[/tex]:

[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]

So now, you have found the equation of a circle.

Answer:

(x)^2 + (y - 4)^2 = 3

(it could also be (x - 0)^2 + (y - 4)^2 = 3 but you can drop the zero by the x and just have it like: (x)^2 + (y - 4)^2 = 3)

Answer:

A is probably much more related to B than to C

Answer:

The graph will show an initial value that is lower on the y-axis

Step-by-step explanation:

The exponential function has the next general form:

[tex]y = ab^x [/tex]

where a is the initial amount and b is the base.

If the a value in the function is decreased, but remains greater than 0, the y-intercept of the curve decrease.

Answer: The graph will show an initial value that is lower on the y-axis

Step-by-step explanation: i got it right on edge!

Answer: The answer is 2/1 or 2

Step-by-step explanation:

This is because you take one point on the line and then go up how many spaces to the next point on the line.

Answer:

17 1/3

Step-by-step explanation:

Total number of Jar she make is [tex]17\frac{1}{3}[/tex] jar

Given that;

Number of strawberry jam jar = [tex]4\frac{1}{3}[/tex] jars

Number of apricot jam jar = 3(Number of strawberry jam jar)

Find:

Total number of Jar she make

Computation:

Given problem is Sum base problem.

Number of apricot jam jar = 3(Number of strawberry jam jar)

Number of apricot jam jar = 3([tex]4\frac{1}{3}[/tex])

Number of apricot jam jar = 3(13/3)

Number of apricot jam jar = 13 jar

Total number of Jar she make = (13/3) + 13

Total number of Jar she make = [tex]17\frac{1}{3}[/tex] jar

Find out more information about 'Sum based problem':

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Answer:

How much do the drinks cost? Add them together and take away .75

Step-by-step explanation:

Answer:

164.7 in2

Step-by-step explanation:

Solve for surface area

Shape: Pyramid

Formula: L*W*H

A≈167.13 round to the nearest ten = 164.7 in2

The correct answer to this question is 164.7 in2

So A is the correct answer

Hope this helps.

Answer:

[tex] \boxed{x - y = -2\sqrt{7}} [/tex]

Given:

[tex]x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7} [/tex]

Step-by-step explanation:

[tex] = > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7} [/tex]

Identity used:

[tex]{x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

Answer:

-2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

[tex]x^{4} - y^{4} = -176\sqrt{7} \\(x^{2} + y^{2})(x^{2} - y^{2} ) = -176\sqrt{7} \\(x^{2} - y^{2} )= \frac{-176\sqrt{7}}{22} \\(x + y)(x - y) = -8\sqrt{7}\\ x - y = \frac{-8\sqrt{7}}{4} = -2\sqrt{7}[/tex]

Answer:

1/3

Step-by-step explanation:

Rolling a die has the possible outcomes of 1,2,3,4,5,6 = 6 total

P(3 or 5) = number of  3 or 5's / total

              = 2/6

                = 1/3

Answer:

Answer:

1/36

Step-by-step explanation:

Getting a 3 is 1/6

Getting a 5 is 1/6

Multiply those and get 1/36

Answer:

A

Step-by-step explanation:

Because the x's domain has whole numbers from 0-10

Answer:

Domain is whole numbers from 0 to 10

Step-by-step explanation:

The domain is the inputs to the function

Since the inputs are discrete ( dots)

Domain is whole numbers from 0 to 10

Answer:

it should take her 45 minutes to run 9 laps

Step-by-step explanation:

40/8 = 5

9*5 = 45

Answer: 52

Step-by-step explanation:

Answer:

The south had no justified reason to secede from the union.

Step-by-step explanation:

The south had no justified reason to secede from the union. They were still bound to the constitution, had no legal right to secede, and broke numerous laws such as forming an illegal alliance and attacking the United States (at Ft. Sumter). The constitution was created as the basis of the United States government.

Answer:

x = 9 ft

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is x

4069.44 = pi x^2 16

Divide each side by 16 pi

4069.44 / 16 pi = x^2

Using 3.14 for pi

81 = x^2

Take the square root of each side

sqrt(81) = sqrt(x^2)

x = 9

Many students seem puzzled by function notation well after it has been introduced, and ask “why can’t we just write

y = 3x instead of

f(x) = 3x ?”. To motivate the use of function notation and improve understanding, I advocate using multi-variable functions instead of single-variable functions in introducing this notation. My introduction usually proceeds something like this:

Step-by-step explanation:

Answer:1900 in 36 hours and 1200 in 24 hours

Step-by-step explanation:

Find how many they can make in an a hour first. 250 divided by 5. That makes 50. Multiply that by the amount of hours