Mathematics High School

The function h defined by h (t) = 4.9 (10+t) (10 - t) models the height, in meters, of an object t seconds after it is dropped from a
helicopter

The Function H Defined By H (t) = 4.9 (10+t) (10 - T) Models The Height, In Meters, Of An Object T Seconds

Answers

Answer 1

Answer:

(a) 10 seconds

(b) 490 meters

Step-by-step explanation:

(A)

When the object hits the ground, it shows that the height is 0. Hence, h(t) = 0.

0 = 4.9(10+t)(10-t)

0 = (10+t)(10-t)

t = 10, -10

Since time cannot be negative, t = -10 will be rejected.

Therefore, t = 10 seconds

(B)

Based on the question, "t seconds after the object is dropped from a helicopter", means that the time starts right after the object is dropped from the helicopter, this shows that t = 0.

h(0) = 4.9(10+0)(10-0)

= 4.9(100)

= 490 meters

Related Questions

I need help with Function Operations

Answers

Answer:

490

Step-by-step explanation:

d(x)=700-7(30)

7x 30=210

700-210=490

therefore,

r(x)=490

When you are analyzing the relationship between two continuous variables, how should you plot the data?.

Answers

Answer:

Scatterplot.

Step-by-step explanation:

Scatterplots help in analyzing the relationship between two continuous variables

PLEASE HELP I NEED TO GET DONE IN 10 MINUTES!!!
Marianna is painting a ramp for the school play in the shape of a right triangular prism. The ramp has dimensions as shown below. She will not paint the back or bottom surfaces of the ramp. What is the surface area of the ramp?

Answers

Answer:

3672 sq in

Step-by-step explanation:

The area painted would be 3672 sq in.

How many equilateral triangles are there in a regular hexagon.

Answers

There are total 6

Look at the attachment for proof

If we join all three diagonals we get 6 equilateral triangle

Answer:

There are 6 equilateral triangles in a regular hexagon.

Step-by-step explanation:

A regular hexagon can be dissected into 6 equilateral triangles by adding a center point .

PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.

Answers

I think A equals 44 degrees
A = 44 ( triangles add up to 180°) as you can see there is a right angle, a right angle = 90°. Sooo if we do 90+46 we get 136. Since a triangle adds up to 180° we do 180-136=44

Which ordered pairs match the mapping diagram? O (1, 0), (7, 2), (3, 1), (-1, 1), (-7, -6) (0, 1), (2, 7), (3, 4), 4, 1), -6, 7) O(0, 1), (0, 4), (0, 7), (2, 7), (6, 7) (0 1), (2, 7), 3, 4), (4, 1), (6, 7)​

Answers

Answer:

I've done this b4

(0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

Find the mean absolute deviation for:1, 1, 2, 4, and 7
a) 1
b) 2
c) 3
d) 0

Answers

Answer: C) 3
To get mean deviation it is nessasary to get the number between the two center numbers

What is the sum of 4 x 10-5 and 3 x 10-5 written in standard form

Answers

Answer:

7 * 10 to the power —5

Step-by-step explanation:

check out the attached photo.

Answer:

70x - 10

Step-by-step explanation:

Find the y-intercept and the slope of the line.
Y=-4x-3

Answers

Answer:-

Slope:-

-4

y-intercept:-

(0,-3)

Solution:-The equation of this line is written in Slope-Intercept Form, which looks like so:-y=mx+bIn this formula, m stands for the slope of the line, and b stands for the y-intercept.Please remember that the slope is the line's rise (the amount of units we move up, or "rise" divided by its run (the amount of units we move left or right, and the y-intercept is the point where the line intersects the y-axis. (0, b)Also, please notice that m is the coefficient of x, and b is the constant.Therefore, the slope of the line is equivalent to -4, and the y-intercept is (0, -3).

Hope it helps.

Do comment if you have any query.

Answer:

Slope: 4; y-intercept: -3

Explanation:

To find the slope of the line, we will look at the number in front of x.

That number is -4. Hence, the slope is -4

Now, the y-intercept is the constant.

The constant is -3.

Hence, the y-intercept is -3.

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

16

Step-by-step explanation:

no image, but 6 + 2 + 2 + 6 = 16

In a answered math the problem [tex]\sqrt{-2}[/tex] plus [tex]\sqrt{-18}[/tex] was [tex]4\sqrt{2i}[/tex] as it was rewritten as [tex]\sqrt{2i} + \sqrt{18i}[/tex]. Why can [tex]\sqrt{-2}[/tex] be written as[tex]\sqrt{2i}[/tex]

Answers

Ok so basically this is this and that is that !

[tex]\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i[/tex]

Which polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6

Answers

Answer:

4x2 - 2x - 6

Answer number 3 please

Answers

Answer:

100 cm square?

Step-by-step explanation:

1 meter square = 100 cm square

Answer:

10,000 cm²

Step-by-step explanation:

m² to cm² conversion

1 m x 1 m = 1 m²But we know : [1 m = 100 cm]100 cm x 100 cm = 10,000 cm²Therefore, 1 m² = 10,000 cm²

So, the surface area of the prism in cm² is 10,000 cm²

Hurry pls!

A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².

What is the volume of the connector?

Enter your answer as a decimal in the box.
cm³


Answers

The volume of the connector given the base area and the height is 84.70cm³.

What is the volume of the connector?

A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.

Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]

Where:

a²= base area h = height

2.598076 x 8.15 x 4 = 84.70cm³

To learn more about prisms, please check: https://brainly.com/question/8890358

Answer:

32.6 cm³ for K12

A line has a rise of 3 and a run of 12. What is the slope?
O 1/3
O 4
O 1/4

Answers

1/4 is the answer
Explanation- 3 divided by 12 is 4 therefore 1/4 of 12 is 3 making 1/4 the slope

5. What is the value of x and y?

a.
b.
c.
d.

Answers

Answer:

30[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The triangle given is a special right triangle with angle measures as follows:

45-45-90

The side lengths for this special triangle is represented with a-a[tex]\sqrt{2}[/tex]-a[tex]\sqrt{2}[/tex]

a represents the side length that sees hypotenuse and it is 30 so x and y

30[tex]\sqrt{2}[/tex]

Hello people ~
what's the area of a rectangle whose width is 16m and length is 13m?​

Answers

Answer:

208 m²

Step-by-step explanation:

[tex]16 \: m\times 13 \: m = 208 \: {m}^{2} [/tex]

What is the absolute value of -|-4| ?

Answers

Answer:

- 4

Step-by-step explanation:

the absolute value function always give a positive result , that is

| - a | = | a | = a

then

- | - 4 | = - | 4 | = - 4

If the diameter is 11, then what's the radius?

Answers

I’ll try and answer this the best as I can.

EXPLANATION: The radius of a circle is the distance from the center of the circle to any point on the circumference.

The easiest way to find the radius is by dividing the diameter in half

1/2 x 11 = 11/2 OR 5.5

ANSWER: the radius of the circle 11 cm in diameter would be 5.5 cm.


CHOOSING BRAINLIEST PLEASE HELP

Answers

Answer:

The answer is the 2nd 1

Step-by-step explanation:

It's a basic graph

A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.5 yards.

What is the surface area of the actual ramp, including the underside?

Enter your answer as a decimal in the box.



The answer is 7.2 I just didnt see anyone ask this

Answers

The surface area of the figure is 720 square inches

How to calculate the surface area of a ramp?

The surface area of a figure is the sum of all the area of its faces.

For the given diagram, it consists of 2 triangular faces and 3 rectangular faces

Surface area= (5 * 24) + 2(13*12) + 24 * 12

Surfacee area = 120  + 312 + 288

Surface area = 720 square inches

Hence the surface area of the figure is 720 square inches

Learn more on surface area here: https://brainly.com/question/76387

Use the points in the diagram to name the figure.

Answers

D) Line JK

<----->

JK

Hope it helps :)

im stuck and i need help

Answers

a right angle is always 90° and is you sum up all 3 of the angles of the triangle, you always get 180°, so:

180°-55°-90°= 35°

How would three billion, nine hundred seventy-six thousand, twelve be written in standard form?

Answers

Step-by-step explanation:

3.000976×10⁹ would be how I will write in standard form

To find the probability of two
independent events, you
their
probabilities.
A) add
B) subtract
C) multiply D) divide

Answers

Answer:

To find a probability Multiply two independent events.

Choose all lengths that are equal to

3 yards 16 inches.


A.

124 in.


B.

4 yd 4 in.


C.

3 yd 1 1/2 ft


D.

2 yd 52 in.


E.

10 ft 4 in.

(15 points)

Answers

Answer: The answer you would be looking for is A. D. E.

Step-by-step explanation:

I hope i helped and can i have brainliest please <3

ANSWER QUESTION BELOW CORRECTLY FOR BRAINLIEST

Answers

The answer is C

Sorry if wrong

Scoopers ice cream shop sells one scoop of ice cream for $1.60. They sell three scoops for $4.80. How much money is needed to buy two scoops of ice cream?​

Answers

Answer:

$3.20

Step-by-step explanation:

1.60 x 2 = $3.20

You need $3.20 to buy 2 scoops of ice cream.

Answer:

Step-by-step explanation:

Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.


$1.60+$1.60 or 1.60x2=$3.20.

Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”

help i am bad at geometry

Answers

Answer:

115.5 cubic meters.

Step-by-step explanation:

First find the are which is 10.5 because are is base times width divided by 2

The multiply the are with the height. 10.5 times 11 equals 115.5 cubic meters.

Use the two-way frequency table at the right to find the probability P(7th-grade boy).
(Simplify your answer.)

Answers

Answer:

8/50

Step-by-step explanation:

find the total number of 7th grade boys

put that in the numerator

I'm assuming you're trying to get the probability of picking a 7th grade boy out of all the kids in the soccer camp so 50

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