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kondor19780726 [428]
3 years ago
7

A projectile is shot into the air following the path, h(t) = -3t2 + 12t - 5. At what time, value of t, will it reach a maximum h

eight?
t = 2
t = 4
t = 1
t = 5
Mathematics
1 answer:
slava [35]3 years ago
3 0

Answer:

You can find the answer by using the formula t=-b/2a

Step-by-step explanation:

Remember the maximum height will be at the vertex. The x value of the vertex is your time, so use x=-b/2a except that t is your x. Then if it had also asked what the height was, you would plug that answer into your equation to find the y value of the vertex. Pretty sure your teacher is just asking you to find the x though:)

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A 9cm wife cross section pipe has a height of 13cm . What is the volume of the pipe
rjkz [21]
I think you meant "wide." :) Since it is a pipe, you should know that it is the shape of a cylinder. Therefore, the formula would be: πr^2h. Substitute the height for h. (π(4.5)^2(13). Since it's 9 cm wide total, divide it by 2 to get the radius (part of formula), which is 4.5 So multiply π times 4.5^2 (which equals 20.25) times 13. This all will equal 826.605. You can simplify this decimal to 827. Therefore, the volume is 827 cm^3.
7 0
4 years ago
Find the length of the missing side (nearest tenth).<br> 25 yd<br> 37 yd
Ket [755]

Answer:

27.3 yards

Step-by-step explanation:

Since this triangle is a right triangle, this can be solved using the equation:

a^2 + b^2 = c^2

c^2 is the side opposite to the right angle (37)

So, you need to change the equation to where it is set equal to b^2.

Subtract a^2 on both sides.

b^2 = c^2 - a^2

Now, plug in the numbers you have.

b^2 = 37^2 - 25^2

Simplify.

b^2 = 1369 - 625

b^2 = 744

Now, to find b, take the square root of 744.

√744 = 27.3

8 0
3 years ago
Read 2 more answers
What are the discontinuity and zero of the function f(x) = x^2+5x+6/x+2
Ksenya-84 [330]

Answer:

Step-by-step explanation:

Hello,

f(x) =\dfrac{ x^2+5x+6}{x+2}=\dfrac{(x+2)(x+3)}{x+2}=x+3

no discontinuity point

zero = -3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
3 years ago
А ____________ is a comparison of two quantities by division.
Phoenix [80]

Answer:

Rate

Step-by-step explanation:

When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .

5 0
3 years ago
Question 2 Unsaved
Goryan [66]

According to the geometry program used to draw the triangle, the lengths of the sides add to 21.841 units*. Rounded to the nearest tenth, the appropriate answer choice is ...

... 21.8

_____

You can use your test-taking skill to choose this answer without doing a single calculation. The answer choices appear to be about rounding, not about accurate calculation of the length. The choice 21.84 tells you that is probably the value before any rounding. Then choices 22 and 21.9 are obviously incorrectly rounded. The correctly rounded answer is then 21.8.

Coordinate differences are ...

AB = (-1, 6) -(-4, 0) = (3, 6) . . . . ║AB║=√(3²+6²)=3√5

BC = (3, -1) -(-1, 6) = (4, -7) . . . . ║BC║=√(4²+7²)=√65

CA = (-4, 0) -(3, -1) = (-7, 1) . . . . ║CA║=√(7²+1²)=5√2

The sum of these lengths is about 21.8415, so rounds to 21.8.

___

* If you follow the math, you find that the final sum should be displayed using 3 decimal digits as 21.842. The error in the least-significant digit of the sum comes from rounding each length to 3 decimal digits.

4 0
3 years ago
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