MATHEMATICS HIGH SCHOOL

The function h(t)=16t^2+144 represents the height , h(t) , in feet , of an object from the ground at t seconds after it is dropped . a realistic domain for this function is 1) -3 2) 0 3)0>h(t)<144
4) all real numbers

Answers

Answer 1
Answer: 0≤h(t)≤144, which means that the height of the object can be between 0 and 144 feet, including those limits.

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Write this equation in standard form 9x^2-4y^2-24y-72=0
A quarterback completed 68% of his passes in a game. He threw 25 passes. How many passes did the quarterback complete?
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A triangle has sides of lengths 10 24 and 26 is it a right triangle explain?

Answers

Yes.  For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side.  Thus, this is a right triangle if 10^2+24^2=26^2.  Expanding these squares, we have 100+576=676, which is true.  Thus, the triangle is right.
   c² = a² + b²
 26² = 10² + 24²
676 = 100 + 576
676 = 676

It is a right triangle because it shows that it has the same answer of the Pythagorean equation.

"The sum of three numbers is 48. The second number is three times the first, while the third number is twice the first. Find the numbers What is the average of the numbers" 1. The three numbers are 8, 24, and 16. 2. The three numbers are 12, 36, and 24. 3. The three numbers are 10, 30, and 20. 4. The three numbers are 15, 45, and 30.

Answers

Answer: 1st choice : 8, 24, 16 and the average of the three numbers is 16

Step-by-step explanation:

let these 3 numbers be represented as x, y, z

x is the first, y is the 2nd, and z is the third.

x + y + z = 48

y = 3x

z = 2x

x + 3x + 2x = 48

6x = 48

x = 8

y = 3*8 = 24

z = 2*8 = 16

Average = (x+y+z)/3 = 48/3 = 16


From MysticAlanCheng

Plz help math homework​

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

2⋅2⋅3⋅3=36

A teacher bought 32 packets of pencils. 17 of the packets had 8 pencils and the other packets had 14 pencils in each. How many pencils did the teacher buy in all?

Answers

Answer: 346

Step-by-step explanation:

15x4=210

17x8=136

if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?

Answers

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

A rental car costs $48 for one day plus an additional $0.52 per mile. If you have $110, how many miles can you drive the car?

Answers

Answer:

2.27 miles is the answer.

Step-by-step explanation:

Money needed = $48+$0.52 = $48.52

So,

$48.52 = 1 mile

$1 = 1/$48.52

$110 = (1/$48.52)×$110

= 2.27 miles
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