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Vikki [24]
3 years ago
5

Choose the graph that correctly corresponds to the equation y=4

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0

It should be a graph with a horizontal line passing through 4 on the y axis

Lera25 [3.4K]3 years ago
3 0

Graph 1 is y = 4.

You can tell this because no matter what point you pick on that line, the ordered pair will contain the number 4 for y. You can also tell because y = a number graphs are always horizontal lines.

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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
Simplify the radical
olga55 [171]

Answer:

Step-by-step explanation:

\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}

5 0
2 years ago
A scale has a percent error of 7%. The scale reads the mass of a book as 450g. Which statement describes what the actual mass of
ozzi

Answer:

The actual mass of the book is between  481 . 5 g and 418 . 5 g.

Step-by-step explanation:

The mass of the book on the scale = 450 g

The percentage error in the scale = 7%

So, the actual mass of the book is 450 g ± 7%

Now, 7 % of  the mass 450 g = \frac{7}{100}  \times 450 = 31.5

⇒ 7% of 450 g = 31.5 g

Now, the Actual mass of the book =  450 g ± 31.5 g

450 g + 31.5 g   = 481 . 5 g

450 g - 31.5 g    = 418 . 5 g

Hence the actual mass of the book is between  481 . 5 g and 418 . 5 g.

5 0
3 years ago
Jacob has saved $50. He spent $15 at th movies. Then after paying repairs to his bike, he has $0 remaining. How much did the bik
zmey [24]

Answer:

The bike repair costs $35

Step-by-step explanation:

5 0
3 years ago
1. What is the prime factorization of 402? *<br> Your answer
docker41 [41]

Answer:

Step-by-step explanation:

Prime factorization requires dividing by primes starting with smallest prime number

402/2=201

201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is

2X3X67

3 0
3 years ago
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