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Vlada [557]
3 years ago
9

Help me with these questions

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0
For number 6 it's 30 x 45
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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
Aloiza [94]

The ball's maximum height is 30.25 feet.

<h3>What is quadratic equation?</h3>

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

32t= 36

t= 9/8

t= 1.125 sec.

So, The maximum height is

h(1.123)= -16(1.125)² + 36*1.125+10

h(1.125) = 30.25 feet.

Learn more about this concept here:

brainly.com/question/10335037

#SPJ1

5 0
1 year ago
Sven got a $150 gift card function A(n) 150 12.30n gives the amount of money left on the gift card after n number of visits to t
lorasvet [3.4K]

Answers:

1. The n-intercept is 12. That means after 12 visits the amount of money on the gift car is $0.  

2. The A(n)-intercept is 150. Before the visits, the amount of money on the gift car is $150.


Solution:

Amount of money on the gift card after n number of visits: A(n)=$150-$12.50 n

A(n)=150-12.50 n

1. n-intercept

A(n)=0→150-12.50 n =0

Solving for n: Subtracting 150 both sides of the equation:

150-12.50 n-150 = 0-150

-12.50 n = -150

Dividing both sides of the equation by -12.50:

(-12.50 n) / (-12.50) = (-150) / (-12.50)

n=12

The n-intercept is n=12; for n=12→A(12)=0. Point (n, A(n))=(12,0)


2. A(n) intercept

n=0→A(0)=150-12.50 (0)

A(0)=150-0

A(0)=150

The A(n) intercept is 150; for n=0→A(0)=150. Point (n, A(n))=(0,150)

8 0
3 years ago
Please explain this to me.
Nutka1998 [239]

Answer:

  • The value of x is 12 units.

Step-by-step explanation:

<u>We know that:</u>

  • Formula: h² = a² + b²

<u>Let's solve using Pythagoras theorem.</u>

  • => 13² = 5² + x²
  • => 169 = 25 + x²
  • => 169 - 25 = x²
  • => 144 = x²
  • => √x² = √144
  • => x = √144
  • => x = 12

Hence, the value of x is 12 units.

3 0
2 years ago
I need help with the bottom one the absolute value one
astra-53 [7]

Absolute value is simply the non-negative version of the number regardless of its symbol

So for the absolute value of 20? the answer is just 20.

For reference, the absolute value of -20 is also just 20.

Hope the explanation helps :)

5 0
3 years ago
Read 2 more answers
Solve the inequality -3x&lt;54
kifflom [539]

Answer:

x<-18

Step-by-step explanation:

you divide -3 by both sides.

6 0
2 years ago
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