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RideAnS [48]
2 years ago
5

You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is comp

leted. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project?
A3

B.6

C. 18

D. 27​
Mathematics
1 answer:
Gala2k [10]2 years ago
8 0

Answer: B. 6

Step-by-step explanation:

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If f(t)= 3t^2-2, find f(k-2)
DedPeter [7]
By plugging (k-2) in t, we can write that
f(k-2)=3(k-2)^{2}-2=3(k^{2}-4k+4)-2=3 k^{2}-12k+12-2=3 k^{2}-12k+10
7 0
2 years ago
Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
mario62 [17]

Answer:

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Step-by-step explanation:

The general matrix representation for this transformation would be:

\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]

8 0
2 years ago
Imogen sees a design for a garden in a magazine. She changes the scale because she wants a smaller garden. The figure below show
faust18 [17]

Answer:

Length A of the magazine garden is 28 feet is true.

Length B of the Magazine garden is 17.5 feet is true.

Length C of the Magazine garden is 35 feet is true.

Step-by-step explanation:

Please refer the attached figure.

Given:-

Magazine Scale is 1 inch = 3.5 feet.

Imogen's scale is 2 inches = 6 feet,

Therefore Imogen's scale is 1 inch = 3 feet.

In Triangle ABC,

side a = 8 inches, side b= 5 inches, side c= 10 inches.

To find:- The correct 3 options(actual size of sides of triangle  ABC).

Solution:-

In triangle ABC,

Let,

AB=side a =8 inches

BC=side b =5 inches

AC=side c= 10 inches

Now, as per the given scale's of Magazine and Imogen's we can find the actual sizes.

Length A as per Magazine scale (1 inch = 3.5 feet) is,

\therefore Length\ A=8\times 3.5   -------------(as per scale)

\therefore Length A=28\ feet

and Length A as per Imogen's scale(1 inch =3 feet) is,

AB = side a

\therefore Length\ A=8\times 3  -------------(as per scale)

\therefore Length A=24\ feet

Therefore Length A of the magazine garden is 28 feet is true.

Now, Length B as per Magazine scale (1 inch = 3.5 feet) is,

BC = side b

\therefore Length\ B=5\times 3.5

\therefore Length B=17.5\ feet

Length B as per Imogen's scale (1 inch = 3 feet) is,

BC = side b

\therefore Length\ B=5\times 3

\therefore Length B=15\ feet

Therefore Length B of the Magazine garden is 17.5 feet is true.

Now, Length C as per Magazine scale (1 inch = 3.5 feet) is,

AC = side c

\therefore Length\ C=10\times 3.5

\therefore Length C=35\ feet

Length B as per Imogen's scale (1 inch = 3 feet) is,

AC = side c

\therefore Length\ C=10\times 3

\therefore Length B=30\ feet

Therefore Length C of the Magazine garden is 35 feet is true.

8 0
2 years ago
Read 2 more answers
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
vova2212 [387]

Answer:

<h2>Third graph.</h2>

Step-by-step explanation:

A negative rate of change refers to an decrease at certain interval.

In this case, we have to look a decrease between 0 and 2 along the horizontal axis.

So, if we observe the third graph, we'll se that inside the given interval, the graph is decreasing, that indicates the negative rate of change that's being ask.

Therefore, the correct graph is the third one.

8 0
2 years ago
3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y
irakobra [83]
*Given
3(x+y)=y
y is not equal to zero

*Solution 

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis, 

                        3(x+y) = y
                      3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                              3x = -2y

Dividing both sides of the equation by 3, 

                                x = (-2/3)y

Dividing both sides of the equation by y, 

                              x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero. 
                             


6 0
2 years ago
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