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gogolik [260]
3 years ago
12

Convert the measurement as indicated 53qt = __ gal __ qt

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

13 gal 1 qt

There are 4 qts in a gal. Because of this, you can find the number of gal in a qt by dividing the qt by 4:

53/4=13.25

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The first step to solve the equation x/4-3/4=16 is shown below
Sladkaya [172]

Answer:

i think it is A because that seems like the one making the most sense

Step-by-step explanation:

7 0
3 years ago
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32
olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

4 0
3 years ago
Image attached. This is geometry and I’m confused.
ICE Princess25 [194]

Answer:

90 degrees

Step-by-step explanation:

angle b is 180-90-56=34 degrees

that means angle c is also 34 degrees.

56+34=90, thus angle BCE is also 90 degrees

4 0
3 years ago
Read 2 more answers
Is 3/2 greater than 1.hurry i nee a response
ICE Princess25 [194]

Answer:

Yes

Step-by-step explanation:

3/2 = 1.5

1.5 > 1

Best of Luck!

7 0
3 years ago
Read 2 more answers
-3(4x+5)<br><br> a- 7x+15<br> b- 7x-15<br> c- -12x-15<br> d- -12x+15
Alexandra [31]
C, because everything inside the parenthesis is multiplied by -3.
3 0
3 years ago
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