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3 years ago

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

Mathematics

1 answer:

Harrizon [31]3 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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First one to answer receives 100 points and brainiest!

larisa [96]

Answer and Step-by-step explanation:

116 b.

$2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24$

1280 × 24 = 30720

30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.

116 c.

$16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72$

3584 × 72 = 258048

258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.

116 d.

$125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24$

16250 × 24 = 390000

390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.

#teamtrees #PAW (Plant And Water)

4 0

3 years ago

Five hundred dollars more than 10% of am amount of money $m is $1280. Find m.

In-s [12.5K]

For this one, we need to make an equation to make it look easier
(0.10 × m) + 500 = 1280
We solve for m
Subtract 500 from both sides and we get
0.10 × m = 780
Now, divide both sides by 0.10
And m would be equal to 7800
Let's see if this is correct.
Five hundred dollars more than 10% of m
We found that 10% of m is 780, now we add 500 to make the statement true. It will give us a total of 1280, which is equal of what the question says.
I hope this helps.
YOU'RE WELCOME :D

*brainliest*

6 0

3 years ago

15. What is the algebraic notation of a figure is Translated 8 units left and 2 units up?

sasho [114]

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

FOR QUESTION 16

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

4 0

3 years ago

Item 10 Find the amount of time. I=$450, P=$2400, r=7.5%

Alex787 [66]

The answer is: "2.5 years" .
___________________________________________________
Note: I = P * r * t ; { " Interest = Principal * rate * time "} ;

→ Solve for "t" {"time", in years} ;

Divide each side of the equation by "{P * r}" ;
to isolate "t" on one side of the equation ;

→ I / (P * r) = {P * r * t) / (P * r} ;

to get: " I / (P * r) = t " ;

 ↔ t = I / (P * r) ;

Given: I = $450 ;

 P = $2400 ;

r = 7.5% = 7.5/100 = 0.075 ;

Plug in these values into the formula to solve for the time, "t" :

 → t = I / (P * r ) ;

= $450 / ($2400 * 0.075) ;

= $450 / ($2400 * 0.075) ;

= $450 / $180 ;

= $45 / $18 ;

= ($45 ÷ 9) / ($18 ÷ 9)

= $5 / $2 ;

= 2.5 ;

→ t = 2.5 years.
_______________________________________________________
The answer is: "2.5 years" .
_______________________________________________________

7 0

3 years ago

Pavel, Ruth and Josh have part-time jobs.

MrMuchimi

M+m+z/3=3m
m+m+z=9m
2m+z=9m
z=7m
m+m+7m/3=3m
9m=9m
m=1
1+1+z/3=3
2+z=9
z=7
idk but i think that one person gets paid 7 dollars and the other ppl get paid 1 dollar----- this is probably veryyyyy wrong

8 0

3 years ago