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Airida [17]
2 years ago
8

Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in secon

ds. What is the domain? {t| 0 ≤ t ≤ 3} {t| 0 ≤ t ≤ 48} {t| 0 ≤ t ≤ 64} {t| all real numbers
Mathematics
2 answers:
Nookie1986 [14]2 years ago
8 0

Answer: t 0<t<3

Step-by-step explanation:

WINSTONCH [101]2 years ago
4 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.

The value of height and time can not be negative, there the values of h and t must be greater than 0.

The set of all possible inputs is called domain. In the graph x axis represent the domain and y-axis represent the range.

The graph is defined from t=0 to t=3.

Therefore option 1 is correct.

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What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?
Vinvika [58]

Answer: 3ab\sqrt[3]{b^4}

Step-by-step explanation:

Given the following expression:

\sqrt[3]{27a^3b^7}

You need to apply the Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)

Then, you can rewrite the expression as following:

=\sqrt[3]{27a^3b^4b^3}

The next step is to descompose 27 into its prime factors:

27=3*3*3=3^3

Now you must substitute 3^3 inside the given root. Then:

=\sqrt[3]{3^3a^3b^4b^3}

You need to remember that, according to Radicals properties:

\sqrt[n]{a^n}=a^{\frac{n}{n}}=a^1=a

Therefore, the final step is to apply this property in order to finally get the expression is its simplest form. This is:

=3^{\frac{3}{3}}a^{\frac{3}{3}}b^{\frac{4}{3}}b^{\frac{3}{3}}=3ab^{\frac{4}{3}}b=3ab\sqrt[3]{b^4}

3 0
2 years ago
Read 2 more answers
A publishing company prints newspapers and magazines. Let NNN represent the number of newspapers and MMM represent the number of
adelina 88 [10]

Answer:

At most 800 magazines the company can print daily with the remaining number of ink cartridges.

Step-by-step explanation:

We are given the following in the question:

0.5N+2.5M \leq 6000

The above inequality gives the relation for daily supply of ink cartridges where N is the number of newspaper and M is the number of magazines.

Number of newspaper to be printed daily,N = 8000

We have to find the number of magazines at most can the company print daily with the remaining number of ink cartridges.

Puting the value in the given inequality,

0.5(8000)+2.5M \leq 6000\\\Rightarrow 4000+2.5M \leq 6000\\\Rightarrow 2.5M \leq 2000\\\\\Rightarrow M \leq \dfrac{2000}{2.5}\\\\\Rightarrow M \leq 800

Thus, at most 800 magazines the company can print daily with the remaining number of ink cartridges.

6 0
2 years ago
Factor 125x9 + 64. (5x3 – 4)(25x6 + 20x3 + 16) (5x3 – 4)(25x3 + 20x3 + 16) (5x3 + 4)(25x6 – 20x3 + 16) (5x3 + 4)(25x3 – 20x3 + 1
SSSSS [86.1K]
(5x^3 + 4)(25x^6 - 20x3 +16)  remember factoring the cubes?
4 0
2 years ago
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In which quadrant is (1/2, -1.8)?
ad-work [718]

Answer:

Quadrant IV

Step-by-step explanation:

Quadrant I = (+ , +)

Quadrant II = (- , +)

Quadrant III = (- , -)

Quadrant IV = (+ , -)

(1/2 , -1.8)

1/2 is +

1.8 is -

(+ , -)

It lies on Quadrant IV

3 0
2 years ago
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Divide 794.1 by 7.61. Round off your answer to two decimal places. A. 104.35 B. 786.49 C. 95.83 D. 1,043.50
VikaD [51]
Answer: 
A. 104.35

Explanation: 
794.1 ÷ 7.61 = 104.34954 
Round off to two decimal places: 
104.349 
round 4 up to 5 because the next number is greater than 5: 
9 > 5 
So 
104.35
3 0
2 years ago
Read 2 more answers
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