The equation g(t)=2+23.7t−4.9t2 models the height, in meters, of a pumpkin t seconds after it has been launched from a catapult. Is the pumpkin still in the air 8 seconds later? Explain or show how you know.

Answers

Answer 1

Answer:

The pumpkin is not in the air

Step-by-step explanation:

The equation is

[tex]g(t)=2+23.7t-4.9t^2[/tex]

Let us find when the pumpkin will reach the ground

[tex]0=2+23.7t-4.9t^2\\\Rightarrow -49t^2+237t+20=0\\\Rightarrow t=\frac{-237\pm \sqrt{237^2-4\left(-49\right)\times 20}}{2\left(-49\right)}\\\Rightarrow t=-0.08,4.91[/tex]

So, the pumpkin will reach the ground at 4.91 seconds. Hence, at 8 seconds the pumpkin will reach the ground.

OR

At [tex]t=8\ \text{s}[/tex]

[tex]g(8)=2+23.7\times 8-4.9\times 8^2\\\Rightarrow g(8)=-122\ \text{m}[/tex]

The height of the pumpkin is negative 122 m. This means it is lower than the ground. So, the pumpkin is not in the air 8 seconds later.


Related Questions

please help me to solve this question please​

Answers

Answer:

volume of wooden blocks= 2³=8 cm³

volume of cubic box= 8³=512 cm³

512/8= 64

64 blocks could fit in a cubic box

No: of wooden blocks she wants to fit= 70

she'd not be able to fit all the wooden blocks into the box

Step-by-step explanation:

Answer:

No, cannot

Step-by-step explanation:

Side of the small block is 2 cm

The volume of a small block is:

V = 2³ = 8 cm³

The cubic box with side 8 has volume:

V = 8³ = 512 cm³

The blocks can fit inside:

512/8 = 64

Since 64 < 70, Indra cannot fit all the blocks

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Answers

5x10x2= 100 hope this helps

PLSSSSS HELPPPP ITS MATH PLSSSS

What 2-dimensional shapes do you see when you look at the Cube? Choose ALL that you see.

Squares

Rectangles

Triangles

Hexagons

Pentagons

Trapezoids

Answers

Answer: Squares

Step-by-step explanation:

The 2-dimensional shapes that one sees when one looks at the cube is the square. The cube consist of several squares.

It should be noted that the sides of a cube that is, its faces are squares. Also, the edges of the cube are straight lines while the corners which are the vertices are right angles.

Find the ratio of Cos (39).

A. 37/7

B.X/7

C.7/X

D.7

Answers

Answer:

x/7

Step-by-step explanation:

cos 39= adjacent/hypotenuse

=x/7

This year, Ravi watched 35 movies. He thought that 28 of them were very good. Of the movies he watched, what percentage did he think were very good?

Answers

Answer:

80%

Step-by-step explanation:

(28/35)x100
(.80)x100
80% of the movies he watched were very good

How would i show my work on an online exam?

Answers

Answer:

1.47 years

Step-by-step explanation:

Given that,

The height of male elephant is given by the formula,

[tex]h=62.5\sqrt[3]{t} +75.8[/tex]

If h = 275 cm, we need to find the age of the elephant.

Put h = 275 cm in the above formula,

[tex]275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years[/tex]

So, the required time be 1.47 years.

BRAINLIEST TO CORRECT ANSWER!!!!

Answers

Answer:

$5,720.40

Step-by-step explanation:

Original price was $6,810

0.6x = 4086
x = 6,810

If 40% off the original price is $4,086, then 60%, or 0.6 of the original remains.

Plssss help and thank you

Answers

Answer:

1

Step-by-step explanation:

The y-intercept is when x=0, and by looking at this chart, we can see that when x=0, y=1, therefore it will be (0,1) and your y-intercept is 1.

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Answers

Answer:

its 45 as3*15 is 45 and 45*1 is 45

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hii pls help i’ll give brainliest

Answers

Answer:

1A:   -282 < 203

1B:    -282 < 157

Step-by-step explanation:

The examples below is gonna be comparing x and y, two variables that have some random definition that I don't wanna talk about. :D

This is talking about inequalities, which mean greater than, greater than or equal to, less than, less than or equal to, which is about comparing two or more sets of data.

Death Valley has the least elevation as can be seen by comparing the -282, the 203, and the -157.

We can easily set up the inequalities, as Death Valley has the least, so

Death Valley < Tallahassee, Westmorland

That sign between the three locations mean that Death Valley has less value than the other two.

Tallahassee has the highest elevation, as the other two locations, Death Valley and Westmorland are both in the negatives.

We know that -157 is greater than -282, as it is closer to 0.

Therefor, Death Valley is the least, and Tallahassee is the highest.

NOTE: THE VALUES ARE TALKING ABOUT SEA LEVEL. THE ELEVATION OF THE LOCATIONS RELATIVE TO THE SEA (WHICH IS 0)

Last week, the price of bananas at a grocery store was $0.80 per pound. This week, bananas at the same grocery store are on sale at 25% discount. What is the total price of 5.5 pounds of bananas this week at the grocery store?

Answers

Answer:

3.30

Step-by-step explanation:

You multiply the 5.5 pounds by the 80 cents then multiply the awnser of that by .25 and subtract that from the awnser of 5.5*.80

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Answers

Answer:

D

Step-by-step explanation:

absolute value of -25 is 25

and 25>24

Answer:

D

Step-by-step explanation:

A is wrong because the values are equal.

B is wrong because 5 is greater than 2

C is wrong because 1 is less than 2.

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Answers

Answer:

The answer is the last two, -1/6 *8 and -8/6

Step-by-step explanation:

The second to last one is just flipping the problem, and the last one is the answer to the expression.

Answer:

C. -1/6*8

D. -8/6

Step-by-step explanation:

The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph? The radius is 2 units, and the graph is symmetric about the line Theta = StartFraction pi Over 2 EndFraction. The radius is 4 units, and the graph is symmetric about the line Theta = StartFraction pi Over 2 EndFraction. The radius is 2 units, and the graph is symmetric about the polar axis. The radius is 4 units, and the graph is symmetric about the polar axis.

Answers

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

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Help please! I don’t understand this.

Answers

Answer:

A=81.49m^2 I think that's the right answer, I hope I could help you.

Expand and simplify
(x- y)²

Answers

☁️ Answer ☁️

x^2 - 2xy + y^2

(Im not sure if it's correct)

Hope it helps.

Have a nice day noona/hyung.

Answer:

x²-2xy+y²

Step-by-step explanation:

(x-y)² is the same as (x-y)(x-y).

First you would do x×x=x²

Then you would do x×-y= -xy

After that you do -y×x= -xy

Then do -y×-y= y²

You would then put it into an equation like this:

x²-xy-xy+y²

And then simplify it to:

x²-2xy+y²

Hope this helps :)

EFGH is translated 6 units to the left and 3 units up

Answers

Answer:

G'(-4,-1)

Step-by-step explanation:

Answer:

The answer is B -4,-1

Step-by-step explanation:

AP EX verified

I need help with this question

Answers

Answer:

C. No, because there is an input value that has two different output values.

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated. x-values can NOT be repeated.


[tex] \sqrt{ \frac{36}{4} } [/tex]
36
4​

Answers

Step-by-step explanation:

[tex]\sqrt{36/4} =[/tex][tex]\sqrt{36} /\sqrt{4}[/tex]

[tex]\sqrt{36}=6[/tex]

[tex]\sqrt{4} =2[/tex]

6/2=3

Hope that helps :)

definition of bivariate data​

Answers

Answer:

In statistics, bivariate data is data on each of two variables, where each value of one of the variables is paired with a value of the other variable. ... For example, bivariate data on a scatter plot could be used to study the relationship between stride length and length of legs.

Step-by-step explanation:

hope this helps

Data for tooth fairy a bowl‘s usually two types of related data.

Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the brainliest​

Answers

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

Rewrite in standard form. Find the center and radius of the circle. Show all of your work for full credit.

Answers

Where is the picture?

Solve each proportion using the Cross Products Property.
Will give brainliest

Answers

Step-by-step explanation:

[tex]1.x = 8 \\ 2.x = 11 \\ 3. x = 2 \\ 4.d = 3 \\ 5.y = 33[/tex]

Find f(-2) for the following problems.
Problem A: f(x) = x3 + 5
Problem B: f(x) = x2 - 2
Which statement is correct?
a
Problem A > Problem B
b
Problem A < Problem B
Problem A = Problem B
d
Cannot be determined

Answers

Answer:

a. Problem A > Problem B

Step-by-step explanation:

Problem A:

f(x) = x3 + 5

f(-2) = (-2)3 + 5

f(-2) = (-6) + 5

f(-2) = -1

Problem B:

f(x) = x2 - 2

f(-2) = (-2)2 - 2

f(-2) = (-4) - 2

f(-2) = -6

If p(t)=5t4+17t3–8t2+13t–12, use synthetic division to find p( – 4).

Answers

Answer:

the value of this function p(t) at t = -4 is also 0

Step-by-step explanation:

Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not.  If not, then the remainder is the value of the given polynomial when evaluated at a given argument.  We are to determine the remainder here when t = -4:

Setting up synthetic division:

-4    /    5    17    -8    13    -12

                 -20   12   -16    12

      ------------------------------------

           5      -3     4     -3      0

Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.

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Answers

55%

Step-by-step explanation:

-60% off $60 is 24 and 55% off $50 is $22.5

The second bar graph is correct.

Find the distance between points.

Answers

Answer:

5 units

Step-by-step explanation:

Here, The distance between two points is 5 units

-TheUnknownScientist

Show that a% of b = b% of a

Answers

Answer:

See below

Step-by-step explanation:

a% of b

= b * a/100 = ab/100

b% of a

= a * b/100 = ab/100

So they are the same.

Sonia and Angela work at the same store. Each week, Sonia works 5 more hours
than Angela. Sonia earns $10.00 per hour and Angela earns $8.00 per hour.
a) Write a simplified expression to represent the total number of hours Sonia and
Angela work in one week.

Answers

Oh ok so the answer is 89 because of y plus x times x

Ms Matthews has 200 sheets of construction paper she will give each of her 27 students an equal number of whole sheets to use for a project how many sheets will each students an equal number of whole sheets will each students get ? how sheets many will be left over?

Answers

Answer:

Each student will get 7 sheets with 11 sheets left over.

Step-by-step explanation:

divide 200 and 27 to get 7

7 sheets for each student

then multiply 27 and 7 to see how many sheets of paper she gave to her students.

that will give you 189

then 200-189=11 sheets left over

7 sheets left over with 11 remaining
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