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3 years ago

. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how

Mathematics

1 answer:

Vladimir [108]3 years ago

8 0

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

$h=-16t^{2} +vt+s$

when the hawk reaches the rabbit the value of h is equal to zero

we have

$v=55\ ft/sec$

$s=60\ ft$

substitute

$0=-16t^{2} +55t+60$

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

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A rectangular piece of cardboard is 16y cm long and 23 cm wide. Four square pieces of cardboard whose sides are 6y cm each are c

Anna11 [10]

Answer:

Area of remaining cardboard is 224y^2 cm^2

a + b = 226

Step-by-step explanation:

The complete and correct question is;

A rectangular piece of cardboard is 16y cm long and 23y cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?

Solution;

Mathematically, at any point in time

Area of the cardboard is length * width

Here, area of the total cardboard is 16y * 23y = 368y^2 cm^2

Area of the cuts;

= 4 * (6y)^2 = 4 * 36y^2 = 144y^2

The area of the remaining cardboard will be :

368y^2-144y^2

= 224y^2

Compare this with;

ay^b

a = 224, and b = 2

a + b = 224 + 2 = 226

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3 years ago

JUAN SAYS, WHEN YOU PUT TOGETHER UNEQUAL GROUPS,YOU CAN ONLY ADD. IS HE CORRECT ? EXPLAIN.

Leno4ka [110]

If you treat multiplication as repeated addition, then yes, Juan is correct. Only equal groups can be multiplied.

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3 years ago

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Evan and Eileen Carter are husband and wife and file a joint return for 2019. Both are under 65 years of age. They provide more

S_A_V [24]

Answer:

The correct answer is b) four.

Step-by-step explanation:

Evan and Eileen Carter must submit a separate statement as dictated by the requirements for the claim.

In the case of the daughter, she no longer meets the requirement of a qualified child because she is over 24 years old; but qualifies as an eligible relative, and also, the income of her scholarship is not enough, so she needs the help of her parents to cover her expenses.

The couple also provides support in all expenses of Evan's great-grandmother; although Belinda lives in an asylum, the Carter can claim the exemption since, for qualified relatives, they do not ask as a mandatory requirement that they live in the same place.

And finally, Peggy cannot request an exemption since she is not a qualified relative, so she does not fall within the exceptions to claim, even if she lives in Evan and Eileen Carter´s house.

Therefore, the Carter can claim four dependency exemptions, one for each person that are Evan, Eileen, Pamela, and Belinda.

I hope this information can help you.

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3 years ago

Which of the following is a polynomial?

lyudmila [28]

Answer:

D.

Step-by-step explanation:

A polynomial is an expression that looks similar to this:

3x³+x-3

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3 years ago

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What are the domain and range of f(x) = 2|x - 4|?

exis [7]

Answer:

D : All real numbers

R : (-∞,∞)

Step-by-step explanation:

When your x is in a set of absolute value sign, any number can work for x.

As with Domain, you can do the same with range. In this case, you can go from both positive infinity and negative infinity and you will always get a real number solution.

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3 years ago