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Rufina [12.5K]
3 years ago
11

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 – 5t2, where t is the tim

e in seconds. A high-speed camera is ready to film the person between 15 m and 10 m above the ground. For which interval of time should the camera film the person
Mathematics
2 answers:
Nostrana [21]3 years ago
8 0

Answer:

\sqrt{2} - 1

Step-by-step explanation:

h = 20 – 5t2 = 15 -> t = 1

h = 20 – 5t2 = 10 -> t = \sqrt{2}

interval  \sqrt{2} - 1

natta225 [31]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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Drag the expressions into the boxes to correctly complete the table.
lora16 [44]

Answer:

SUMMARY:

x^4+\frac{5}{x^3}-\sqrt{x}+8                               →    Not a Polynomial

-x^5+7x-\frac{1}{2}x^2+9                           →    A Polynomial

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi              →    A Polynomial

\left|x\right|^2+4\sqrt{x}-2                                   →    Not a Polynomial

x^3-4x-3                                        →    A Polynomial

\frac{4}{x^2-4x+3}                                              →    Not a Polynomial

Step-by-step explanation:

The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form ax^n.

Here:

n = non-negative integer

a = is a real number (also the the coefficient of the term).

Lets check whether the Algebraic Expression are polynomials or not.

Given the expression

x^4+\frac{5}{x^3}-\sqrt{x}+8

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains \sqrt{x}, so it is not a polynomial.

Also it contains the term \frac{5}{x^3} which can be written as 5x^{-3}, meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression x^4+\frac{5}{x^3}-\sqrt{x}+8 is not a polynomial.

Given the expression

-x^5+7x-\frac{1}{2}x^2+9

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.

Given the expression

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!

Given the expression

\left|x\right|^2+4\sqrt{x}-2

is not a polynomial because algebraic expression contains a radical in it.

Given the expression

x^3-4x-3

a polynomial with a degree 3. As it does not violate any condition as mentioned above.

Given the expression

\frac{4}{x^2-4x+3}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.

SUMMARY:

x^4+\frac{5}{x^3}-\sqrt{x}+8                               →    Not a Polynomial

-x^5+7x-\frac{1}{2}x^2+9                           →    A Polynomial

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi              →    A Polynomial

\left|x\right|^2+4\sqrt{x}-2                                   →    Not a Polynomial

x^3-4x-3                                        →    A Polynomial

\frac{4}{x^2-4x+3}                                              →    Not a Polynomial

3 0
3 years ago
Explain why ∠4 is equal to the sum of the measures of the two nonadjacent interior angles (Angle 1 and Angle 2).
Akimi4 [234]
Angle 4 is 77 degrees. Since angles 1, 2, and 3 must add up to 180 degrees, and angles 3 and 4 must also add up to 180 degrees, angles 1 + 2 must be equal to angle 4
3 0
3 years ago
GIVING BRAINLEIST HURRY PLEASE ‼️‼️‼️‼️
Olenka [21]

Answer:

I would say NO

Step-by-step explanation:

because if you look at those triangles, the one on they have two matching angles and two one side. The other angle in the triangle on the left isn't marked or anything so we can assume and the one on the right has no marked side. I hope I made a little sense. I don't know how to explain but I guess in short you could say that you don't have enough information to determine if they're the same

AGAIN!! I CAN'T PROMISE IF THIS IS RIGHT!!

7 0
3 years ago
Which expression can be used to solve 3/5 divide by 7/10
kramer

Answer:

\frac{3}{5} *\frac{10}{7}  

=  \frac{30}{35} =\frac{6}{7}

7 0
3 years ago
What is the rule for the following pattern? 2, 6, 8, 24, 26
dimulka [17.4K]

Answer:

Always multiply the first number with 3 and then add two to the next number. And so on..

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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