What is the volume of the rectangular prism? Please Help​

Answer:

Step-by-step explanation:

ΔSTU is a right triangle.

US and TU are legs, SU is opposite to ∠T.

Use tangent to find the measure of ∠T.

The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin. Option C

We can say that a relationship  is proportional when the relation does lead to a straight line graph and the graph would have to be able to pass through the origin.

Hence, even if we have a straight line graph but the graph does not pass through the origin of the graph then we can not say that the relationship that is existing between the coordinates that have been shown is proportional.

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Answer:

See joint picture.

Step-by-step explanation:

The study lasts 6 days. Since the amount of plant food decreased an equal amount each day, and since the whole 72 millimeters were used, it means that plants consumed 72/6 = 12 millimeters daily.

All the results given come from this justification.

The required consumption of each day is 12 mm.

Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information

The statistic is the study of mathematics which deal with relations between comprehensive data.

Since
observation run for 6 days and have 72 mm of food  has been fed each day.
at the end of 6 day food remains 0 mm i.e.
Rate at which food has been fed for each day is given by
= 72/6 = 12
12 mm of food has been fed every day for to the 6 days.

At day 0 we have 72 mm of food
At day 1 we have  60 mm of food
similary for
At  day 6 we have 0 mm of food

Thus the graph has been attached below for the values of x

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Answer:

your answer is correct

Step-by-step explanation:

7(2) = 14

7(4) = 28

The remainder of the given division 5884/ 94 is 56 and hence the complete sentence is 5884/94 = 62 + 56/94.

The amount that remains after division is complete is known as a remnant. Simply divide the number by another number that is one of its multiples to obtain the remainder.

The division of any number can be written as follows:

a/n = q + r/n

where, a is the dividend, n is the divisor, r is the remainder and q is the quotient.

When we divide the number 5884 by 94 using the long division method the quotient is 62 and the remainder is 56.

Hence, the complete sentence is 5884/94 = 62 + 56/94.

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Examining the polynomial function g(x) as given in the table the end behavior is

The end behavior of function typically says the characteristics of the function at the ends

The given table when examined shows that there was three zeros hence the graph is that of odd function

The end behavior of an odd function with positive leading coefficient is

x ⇒ ∞ f(x) ⇒ ∞: as x tends to positive infinity the function tends to positive infinity

x ⇒ -∞ f(x) ⇒ -∞: as x tends to negative infinity the function tends to negative infinity

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The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105 .

What is expression ?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

An algebraic expression is made up of a number of variables, constants, and mathematical operations. We are aware that variables have a wide range of values and no set value. They can be multiplied, divided, added, subtracted, and other mathematical operations since they are numbers. as in 3x Plus 4.

Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :

G = 6t^4+ 3t³ – 2t² + 5t + 60

I = 3t^4 - 3t³ + 5t² - 5t + 45

where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.

A new model {A} for the total number of new green tea and fruit juice sales can be written as -

{A} = {G} + {I}

{A} = 6t^4+ 3t³ – 2t² + 5t + 60 + 3t^4 - 3t³ + 5t² - 5t + 45

{A} = 9t^4 + 3t² + 105

Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105

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Answer:

About 47% of books were nonfiction.

The actual percentage includes decimals and it would be this:

%47.0588235294

Answer:

5x+2

Step-by-step explanation:

Just so you know, there's no diagram

Answer:

3 and 4 is correct

Step-by-step explanation:

that's the only 2 numbers that is correct

Answer:

6. 3.14 7. 172.03 8. 78.54 9. 380.13 10. 19.63 11.28.27

Answer:

All Sides are equal to their corresponding ones [SK = BG and so on...]

All angles are equal to thei corresponding angles [angle(T) = angle(I) and so on..]

(C.P.C.T)

Step-by-step explanation:

From the given figure, ignoring the fact that she rotated it, we can prove that the two triangles are congruent by RHS congruence criterion.

After proving so, we can use C.P.C.T to find the relations.

Hope it helps. Thank you :)

Answer:

Step-by-step explanation:

Answer:

Eva has $127.31 after 2 years.

Step-by-step explanation:

Here is the formula for compound interest

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the initial amount, [tex]r[/tex] is the interest rate as a decimal, [tex]n[/tex] is the number of times the interest applied per time period, and [tex]t[/tex] is the number of time periods.

We are given

[tex]P=120\\r=0.03\\n=1\\t=2[/tex]

Substitute our numbers into the equation

[tex]A=120(1+\frac{0.03}{1})^{1*2}[/tex]

[tex]A=120(1.03)^{2}[/tex]

[tex]A=120*1.03^{2}[/tex]

[tex]A=120*1.0609[/tex]

[tex]A=127.308[/tex]

Using an inverse trigonometric function, we will find that the solution is:

θ = 1.047

Here we want to solve the equation:

1 - cos(θ) = 1/2

Such that θ ∈  [0,2pi)

Now let's return to our equation:

1 - cos(θ) = 1/2

1 - 1/2 = cos(θ)

1/2 = cos(θ)

Now we could apply the inverse cosine function to both sides, then we will get:

Acos(1/2) = Acos(cos(θ))

1.047 = θ

That is the solution.

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Answer:

b took the test

Step-by-step explanation:

The true statements about the figure are (a) The figure is a triangular prism, (c) The figure has 6 vertices and (e) The figure has 9 edges.

Triangular prisms are three dimensional figure consisting of two triangular bases and three rectangular lateral faces.

Given that, a net has 3 rectangular faces and 2 triangular faces.

This must be a triangular prism by the definition of triangular prism.

The figure will not be a rectangular pyramid since the rectangular pyramid only has 1 rectangular base.

The number of vertices are 6, since there are three vertices for each triangle.

There are only 5 faces for the given net which is 3 rectangular faces + 2 triangular faces.

There are 3 edges each for two triangles forming 6 edges and there 3 edges for the rectangle, a total of 9 edges.

Hence the correct statements are (a), (c) and (e).

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Your question is incomplete. The complete question is as follows :

Which statements are true about the figure? Check all that apply.

A net has 3 rectangular faces and 2 triangular faces.

a)The figure is a triangular prism.

b)The figure is a rectangular pyramid.

c)The figure has 6 vertices.

d)The figure has 6 faces.

e)The figure has 9 edges.

Answer:

33

Step-by-step explanation:

because there are 66 squares and 1/2 is shaded so 33

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Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

CL congruent with CM

WX congruent with YZ

32 = 32

Answer: 4,096

Step-by-step explanation:

There are 12650 ways for pick 4 paintings.

Given:

He has 25 to choose.

No. of ways he can pick 4 in 25 = 25 C 4.

             [tex]\frac{25!}{4!(25-4)!} =\frac{25}{4!\times2!} =12650\\[/tex]

Therefore, 12650 ways for pick 4 paintings.

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Answer:

Step-by-step explanation:

20)63(3

    -60

   -------

        3

so every children gets 3 toys but 3 toys are left which can be distributed among 3 children.

so 3 children get 1 toy more.

Hence 3 children get 3+1=4 toys (each)

Answer:

Step-by-step explanation:

3:12 7:28

The means are the second and third terms in the proportion.

The extremes are the two outside terms.

12 and 7 are the means.

(3 and 28 are the extremes.)

So thre answer is D.  12 and 7.

Answer:

1/2

Step-by-step explanation:

4/5x=2/5

x=(2/5)/(4/5)

x=(2/5)(5/4)

x=2/4

x=1/2

Answers:

There are infinitely many possible ways to answer the third part.

===========================================================

Explanation:

The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.

---------

The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.

---------

The general format of a sine curve is

y = A*sin(B(x-C)) + D

where,

In this case, we found so far that

The only thing we're missing is the value of C, which is the phase shift.

Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2

This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.

So,

B(x-C) = pi/2

0.5(pi/2-C) = pi/2

pi/4 - C/2 = pi/2

4*( pi/4 - C/2 ) = 4*(pi/2)

pi - 2C = 2pi

-2C = 2pi - pi

-2C = pi

C = pi/(-2)

C = -pi/2

This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)

This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.

Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.

According to the findings, 40 of the adults who were not parents and 150 of the adults who were parents believed that the park should be expanded.

250 adults, 180 of whom are parents, leaving 70 adults who are not parents (250 - 180). According to the findings, 40 adults without children and 150 adults with children said the park should be expanded. Thus, 180 – 150 = 30 parents.

Parents: YES OR NO Not parents: 40 | 30 of 150

In this exercise, we must determine the values of the voters who supported expanding the parking lot, which requires that we:

In fact, parents will be 150, not 40.

Parents won't be 30 in total; they'll be 40. Instead, a park should be built to accommodate 250 persons, 180 of whom were parents.

The park should be extended, according to 40 of the people who weren't parents.

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The quadratic equation that describes the function is  

f(x) = x² + 4x + 1

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the table that describes the quadratic function h(x) as follows -

{x}                h{x}

−3               −2

−2               −3

−1                −2

0                  1

1                   6

2                  13

3                  22

The quadratic equation is of the form given -

y = ax² + bx + c

For the point (0, 1), we can write -

1 = c                                                      ..... Eq{1}

For the point (1, 6), we can write -

6 = a + b + 1

a + b = 5                                               ...... Eq{2}

For the point (2, 13), we can write -

13 = 4a + 2b + 1

4a + 2b = 12                                               ...... Eq{3}

From Eq{2}, we can write -

a = 5 - b

So, the equation 3 can be written as -

4(5 - b) + 2b = 12

20 - 4b + 2b = 12

20 - 2b = 12

2b = 8

b = 4                                    ...... Eq{4}

then

a = 1                                ...... Eq{5}

So, we can write the quadratic equation as -

f(x) = x² + 4x + 1

Therefore, the quadratic equation that describes the function is  

f(x) = x² + 4x + 1

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Answer:

Step-by-step explanation:

two hundred one thousand four hundred forty five

Answer:

two-hundred one thousand four hundred-forty-five

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Answer:

2.5

Step-by-step explanation:

the radius is half of a diameter so

radius = 5/2 = 2.5 inches

Answer:

2.3

Step-by-step explanation: