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3 years ago

An orange is shot up into the air with a catapult. The function h given by

Mathematics

1 answer:

Mrrafil [7]3 years ago

7 0

Answer:

Velocity = 59 feet/second

Step-by-step explanation:

h(t) = 15 + 60t – 16t2

Time t = 1 second

Let's substitute time into the equation to get the distance

h(t) = 15+60(1)-16(1)²

h(t) = 15 + 60 - 16

h(t) = 59 feet

Speed or velocity = distance/time

Distance = 59 feet

Time = 1 second

Velocity = 59/1

Velocity = 59 feet/s

You might be interested in

If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Marat540 [252]

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

6 0

2 years ago

6. Find the value of x in the triangle below.

Kobotan [32]

Answer:

The value of x is 21.

Step-by-step explanation:

Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :

(x + 3)² + 10² = (x + 5)²

x² + 6x + 9 + 100 = x² + 10x + 25

x² + 6x + 109 - x² - 10x - 25 = 0

-4x + 84 = 0

-4x = -84

4x = 84

x = 84 ÷ 4

x = 21 units

4 0

3 years ago

If a solid has faces that consist of 2 equilateral triangles and 3 congruent rectangles, what type of solid is it?

svlad2 [7]

A right triangular prism is a solid that has faces that consist of 2 equilateral triangles and 3 congruent rectangles. It is also described to have two parallel faces and 3 other faces that belong to the same place (and are not parallel to the parallel pair of faces).

5 0

3 years ago

You are an assistant director of the alumni association at a local university. You attend a presentation given by the university

NNADVOKAT [17]

Answer:

(0.102, -0.062)

Step-by-step explanation:

sample size in 2018 = n1 = 216

sample size in 2017 = n2 = 200

number of people who went for another degree in 2018 = x1 = 54

number of people who went for another degree in 2017 = x2 = 46

p1 = x1/n1 = 0.25

p2 = x2/n2 = 0.23

At 95% confidence level, z critical = 1.96

now we have to solve for the confidence interval =

$0.25 -0.23 ± 1.96*\sqrt{((1 - 0.25) * 0.25)/216 + ((1 - 0.23) *0.23/200}$

= 0.02 ± 1.96 * 0.042

= 0.02 + 0.082 = 0.102

= 0.02 - 0.082 = -0.062

There is 95% confidence that there is a difference that lies between - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.

There is no significant difference between the two.

5 0

3 years ago

Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.

Digiron [165]

Answer:

pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle

7 0

3 years ago