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3 years ago

I need help!! just say which options would match the graph!

Mathematics

2 answers:

mariarad [96]3 years ago

6 0

Answer:it’s 2

Step-by-step explanation:

FrozenT [24]3 years ago

3 0

Answer:

#2 im purty sure

Step-by-step explanation:

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The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

3 years ago

Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)}

kvasek [131]

Answer:

The first set of ordered pairs is not a function.

Step-by-step explanation:

The X value of 7 repeats, which means that it is not a function

7 0

3 years ago

Read 2 more answers

Interest earned to the nearest cent for each principal interest rate and time 640$ ,3%,2 years

Mazyrski [523]

If it's a simple interest = $38.4
If it's a compound interest = $678.98

Solutions
Simple interest, I = principal x rate x time
Principal = $640
Time = 2 years
Rate = 3% = 3/100 = 0.03, then substitute respectively.

Compound interest, A = P (1 + r)^t
Substitute respectively. Remember, always divide your rate in percent by 100.
Don't forget to read the question and approximate correctly.

6 0

3 years ago

In circle L, arc MNOP is 120° and the radius is 5 units. Which statement best describes the length of arc MNOP?

Black_prince [1.1K]

Answer:

The length of arc is 10.46 units

Step-by-step explanation:

Angle is a measure of rotation of a given ray about its initial point. The original ray is called the initial side and the final position of the ray after rotation is called the terminal side of the angle. The point of rotation is called the vertex.

If the direction of rotation is called anticlockwise, the angle is said to be positive

And if the direction of rotation is called clockwise, then angle is said to be negative

see the diagram (1)

<u>Radian measure</u>:-

Angle subtended at the center by an arc of length '1' unit it is a unit circle(circle of radius 1 unit) is said to have a measure of one radian.

see diagram (2)

By using formula $r =\frac{l}{theta}$

here 'r' be the radius and θ be the angle measure and 'l' be the length of arc

l = r θ

given radius r= 5

given angle θ = 120 = $\frac{2\pi }{3}$

l = 5 X $\frac{2\pi }{3}$ = $\frac{10\pi }{3}$

The length of arc is 10.46 units

6 0

3 years ago

Read 2 more answers

A high speed train travels a distance of 503 km in 3 hours.

tensa zangetsu [6.8K]

The average speed, in km/minute, of the train is 2.79 km/minute

<h3>Calculating average speed </h3>

From the question, we are to calculate the average speed in km/minute

From the given information,

Distance travelled = 503 km

Time taken = 3 hours = 3 × 60 minutes = 180 minutes

Using the average speed formula,

Average speed = Distance / Time

∴ Average speed of the train = 503 / 180

Average speed of the train = 2.79 km/minute

Hence, the average speed, in km/minute, of the train is 2.79 km/minute

Learn more on Calculating average speed here: brainly.com/question/12025128

#SPJ1

3 0

2 years ago