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3 years ago

What is the unit rate of 36 gal in 12 min

Mathematics

1 answer:

sergiy2304 [10]3 years ago

5 0

3gal/min divide 36gallons into 12 minuetes and then the quotient is 3 and take the units to result in 3gal/min

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Round 1.25 to the nearest whole number

MrRissso [65]

Answer:

Step-by-step explanation:

if it's above 1.5 you would round up but it's not so

8 0

3 years ago

Read 2 more answers

Choose two positive integers a and b, making sure that a<5 and b>80 . The width of a rectangular computer screen is a inch

qwelly [4]

Answer:

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

Step-by-step explanation:

$Height = H$

$Width = H + a$

$Area = Height x Width$

$b = H * (H + a)$

$b = H^{2} + aH$

$H^{2} + aH > 80$

$H^{2} + aH - 80 > 0$

a<5 means 'a' can be a = 1, 2, 3, 4

Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below

$H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}$

As 'a' and 'b' must be positive integers, H and W must be positive integers as well,

$a = 1, H = 8.46, H = -9.46$

$a = 2, H = 8, H = -10$

$a = 3, H = 7.57, H = -10.57$

$a = 4, H = 7.17, H = -11.17$

Based on above possible answers:

$a=2, H=8$

$W = H + a$

$W = 8 + 2$

$W = 10$

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

5 0

3 years ago

Determine whether the lines l1 and l2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-2 + 4t

ss7ja [257]

Over which interval(s) is the function decreasing?

4 0

3 years ago

K/7+3-2k=-3 what would K =

Aleonysh [2.5K]

I'm pretty sure k doesn't have a value it is no solution

3 0

3 years ago

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Fofino [41]

You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
$\frac{df}{dx}=2x+4$
Solve the equation:
$2x+4=0$
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
$(-2)^2+4 \cdot (-2)-5=4-8-5=-9$

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0

3 years ago