Need help on these question

How do I do numbers 12 to 14?

NARA [144]

Answer:

12. 1 second, 35 ft; 2 seconds, 32 ft

13. (t, y) = (1.4 seconds, 37.6 feet)

14. 37.6 ft; the vertex is the highest point

Step-by-step explanation:

12. You have properly answered question 12.

After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.

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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...

(t, y) = (1.4, 37.6)

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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.

The maximum height is 37.6 feet.

8 0

3 years ago

Need help ASAP

joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

$\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}$

Adding the powers, we get,

$\frac{2x^{2}y^{-1}z^{-7}}{3}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0

3 years ago

A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or w

photoshop1234 [79]

Answer:

. D. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.

Step-by-step explanation:

But again this could be an opinion answer as well

Hope this helps

If this seems incorrect anyway please just comment and I shall change my answer thanks very much :)

6 0

3 years ago

What do you get when you cross a stick of dynamite with a lemon pie

Natali5045456 [20]

You get a "boom meringue."

8 0

3 years ago

Read 2 more answers

Solve for x: 4.23x + 1 = 17.8929 A. 0 B. 14.6629 C. 5.23 D. 6.23 PLEASE HELP!!!

maksim [4K]

Answer:

d

Step-by-step explanation:

6 0

3 years ago