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Dafna1 [17]
4 years ago
8

Two different tennis instructors are using the same ball machine to help students practice returning lob shots.

Mathematics
1 answer:
Harrizon [31]4 years ago
8 0

Given thata the first instructor uses the function h to give the height of a tennis ball, in feet, when it is a horizontal distance of x feet away from the ball machine.

Now the second instructor places the ball machine on a 2-foot tall plateform. that means height of the machine is 2 feet more than the previous height of machine used by first instructor. We have to find the height g(x) for 2nd instructor which is just 2 feet more than previous height h(x).

Due to 2 feet more height, ball will achieve hieght 2 feet more than previous case.

So to find the answer, we will just add 2 into values of h(x) from first table.

Hence final answer is given by: (check attached picture)


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Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is
kirza4 [7]

Answer:

36h, 60+16.2h, and $92.40.

Step-by-step explanation:

n(h)=36h because there are 3 dozen cupcakes made per hour, to get C(h) you just plug in 36h in place of n and simplify, and then for the final answer 2 is plugged into the equation from the second answer.

8 0
4 years ago
Ln a+3 + ln a-3 = ln 16
Lilit [14]
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5
7 0
3 years ago
Is the number -243 an integer?
andreev551 [17]

Answer:

yes

Step-by-step explanation:

Yes it is because it is a whole number and rational

Please mark this as brainliest and I hope this helps you

3 0
3 years ago
Read 2 more answers
If you have a density of 3g/ml and a volume of 10 ml, what is the mass?
balandron [24]

Alright, lets get started.

If you have a density of 3g/ml and a volume of 10 ml

means density = 3 g / ml

Volume = 10 ml

Formula for density, mass,  volume will be

density = \frac{mass}{volume}

Plugging the value

3 = \frac{mass}{10}

Multiplying 10 in both sides

10*3 = \frac{mass}{10} *10

mass = 30 gm

Hence the answer is 30 gm.   :    Answer

Hope it will help :)


7 0
3 years ago
Help picture below problem 5
Anna35 [415]

\angle F+ \angle E = 180^{\circ}\\\\ \implies \angle F + 164^{\circ} = 180^\circ\\\\\implies \angle F = 180^\circ - 164^\circ\\\\\implies \angle F= 16^\circ

7 0
2 years ago
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