When Annie hits a softball, the height of the
ball above the ground after t seconds is given
by h = -4.9/2 + 19.61 + 1.4 metres. Find the
maximum height reached by the ball.

Answers

Answer 1

Answer:

21 metres.

Step-by-step explanation:

I think you mean the equation to be:

h = -4.9t^2 + 19.6t + 1.4

To find the maximum height we convert the equation to vertex form:

h = -4.9(t^2 - 4t) + 1.4

h = -4.9[(t - 2)^2 - 4] + 1.4

h = -4.9(t - 2)^2 + 19.6 + 1.4

h = -4.9(t - 2)^2 + 21.

The maximum height is 21 metres.


Related Questions

please help will give brainliest

Answers

Answer:

4

Step-by-step explanation:

The number of kids who like vanilla is 13 the number of kids who like strawberry is 9

13-9=4

hope this helps!!

The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?

Answers

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

The apartments in Greg's building are named using the letters A,B,C, and D and the digits 1 through 9. How many apartments are there in Greg's building if each apartment is named by a single letter followed by a single digits

Answers

Answer:

36

Step-by-step explanation:

If there are 9 apartnments for everyletter 9 times the four letters is 36

9 * 4 = 36

The total number of apartments if The apartments in Greg's building are named using the letters A, B, C, and D, and the digits 1 through 9, are 36.

What is the combination?

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

The apartments in Greg's building are named using the letters A, B, C, and D and the digits 1 through 9,

Calculate the total number of apartments as shown below,

The number of apartments = total number of digits × total number of letters,

The number of apartments = (1, 2, 3, 4, 5, 6, 7, 8, 9) × (A, B, C, D)

The number of apartments = 9 × 4

The number of apartments = 36

Thus, The total number of apartments is 36.

To know more about the combination:

https://brainly.com/question/29594894

#SPJ2

Please can somebody help me

Answers

Answer:

Rectangle: bh or l · w

Circle: pi(r)²

5th grade math. correct answer will be marked brainliest

Answers

Answer:

C

Step-by-step explanation:

R 408 344 525.2 What i want to know this money is a millions or thousand?​

Answers

Answer:

million

Step-by-step explanation:

. Given the significance level 0.025, the F-value for the degrees of freedom, df = (7,3) is A. 5.89. B. 14.62. C. 8.45. D. 27.67.

Answers

Answer:

B. 14.62

Step-by-step explanation:

Given that

The significance level is 0.025

We need to find out the degree of freedom df(7,3)

So for this please see the attached table

And, the calculation is given below;

As we can see that f-value = 14.62

df1=7

and

df2=3

Therefore the second option is correct

The same is relevant and considered

18) In a class of 50 boys 3/5of the boys got marks above 60 in Mathematics. How
many boys got above 60 marks?​

Answers

Answer:

thx for the points mwah

Step-by-step explanation:

Researchers surveyed 250 college students at one time. They were asked if they were taking any engineering classes and whether or not they felt depressed. If 75 students reported taking at least one engineering class and 15 of those students said they were depressed, what is the incidence of depression in this group

Answers

Answer:

the  incidence of the depression is  1 ÷ 5

Step-by-step explanation:

Given that

There is 250 college students that are surveyed

In the case when 75 students reported for minimum ne engineering class

And, out of this 15 students would be depressed

We need to find out the incidence of the depression

So

= 15 ÷ 75

= 1 ÷ 5

Hence, the  incidence of the depression is  1 ÷ 5

HELP ME WITH THIS PLS! MATH :)

Answers

Answer:

(-7,5)

Step-by-step explanation:

the question was cut off, but I'm assuming that you want to find the location of Denver. Looking at the coordinate plane, Denver, would sit at (-7,5) as you find what x and y values they meet up at. Hopefully this answers your question

If we are looking for the location of Dallas (that is all I see), the coordinates would be as follows.

(2,-4)

Hope this helps.

Please help!!!!!!!!!!!

Answers

Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4

Step-by-step explanation:

Put the x where it belongs it’s not hard

What is a,b,c and d please help me

Answers

Step-by-step explanation:

Edit:

a is 18

b is 36

c is 18

d is 18 times sqr root of 3

Answers:

a = 18b = 36c = 18d = 18*sqrt(3)

sqrt is shorthand for "square root"

=====================================================

Explanation:

The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.

In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.

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

The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.

The longer leg d is equal to sqrt(3) times the short leg, ie,

d = a*sqrt(3)

d = 18*sqrt(3)

You could use the pythagorean theorem to solve for d like so:

a^2 + d^2 = b^2

18^2 + d^2 = 36^2

d^2 = 972

d = sqrt(972)

d = 18*sqrt(3)

I skipped a bunch of steps, but you get the idea.

Picture Below
(i have to make this 20 characters so I'm doing this now)

Answers

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

If m < JKN = 28° and m < KLM = 103°, find m < JML.

Answers

Answer:

152

Step-by-step explanation:

The required measure of the angle ∠JML  is given as 98°.

What is quadrilateral?

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
∠KLM = ∠MJK = 103°
∠ JKL = 2×28 = 56°

The required measure of the ∠JML is given as,
A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees. So the sum of the angle of the kite is equal to 360°

∠KLM + ∠ JKL + ∠MJK + ∠ JML = 360

103 + 56 + 103 + ∠JML = 360
∠JML = 98°

Thus, the required measure of the angle ∠JML  is given as 98°.

Learn more about quadrilaterals here:

https://brainly.com/question/13805601

#SPJ2


Find the product of (√2 + √5) (√7 - √5)

PLs help( a guy answered to this image (linked below) said I have to find that to find the answer) pls solve for me! THx :))))

Answers

Answer:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Step-by-step explanation:

Given

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Required

Solve

We have:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Open bracket

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

There are 15 red, 14 green, and 9 yellow balls in a bag. What is the minimum number of balls that Bob needs to take out of the bag (without looking) so that at least 12 the balls are the same color?

Answers

26 balls

Step-by-step explanation:

have to at least take 11 red, 10 green 5 yellow so have 12 balls in bag

Please look at the image

Answers

Answer:

m<E = 60 deg

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 deg.

m<E + m<F + m<G = 180

m<E + 75 + 45 = 180

m<E + 120 = 180

m<E = 60

Answer:

60 is the ans

Step-by-step explanation:

let angle E be x

then add all sides of triangle and subtract it from 180 you will get 60 degree as ans

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7). What can be said about the graph of y= -f(x)

Answers

Since the function y= f(x) is decreasing on the interval (5, 7), y = -f(x) is INCREASING on the interval (5,7), because the slope is inverted due to the negative sign.

The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).

The function:

y = -f(x)

Let f(x) be:

f(x) = -aˣ

Here 'a' is the real number a > 0

f(x) is decreasing on the interval ( 5, 7).

Applying transformation:

y = -f(x)

y = aˣ

Function y is increasing on the interval ( 5, 7).

Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

What is the surface area of the sphere below?
5
2.5
A. 1257 units2
B. 1007 units2
C. 12573 units2
O
D. cannot be determined

Answers

Here's the solution :

In a sphere,

[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]

now, let's solve :

[tex]s = 4 \times \pi \times 5 \times 5[/tex][tex]s = 100\pi[/tex]

hence, correct answer is B. 100π unit²

The surface area of the sphere is 100 π unit².

The correct option is B.

What is Surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

Radius of Sphere= 5 unit

Now, the formula for Surface area of Sphere is

= 4πr²

= 4 (3.14) (5)(5)

= 4 x 3.14 x 25

= 314

= 10 π unit²

Thus, the Surface area is 10 π unit².

Learn more about Surface area here:

https://brainly.com/question/29101132

#SPJ7

can anyone help please

Answers

Answer:

x = 0, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

8x² - 12x = 0 ← factor out 4x from each term

4x(2x - 3) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).

Answers

Answer:

[tex]Fraction = \frac{31}{38}[/tex]

[tex]\theta = 296.18^\circ[/tex]

[tex]Area = 29.62 \pi[/tex]

Step-by-step explanation:

Given

[tex]r = 6[/tex]--- radius

[tex]L = 31[/tex] --- arc length

Solving (a): Fraction represented by the arc

First, calculate the circumference (C)

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 * 3.14 * 6[/tex]

[tex]C = 38[/tex] --- approximated

So, the fraction represented by the arc is:

[tex]Fraction = \frac{L}{C}[/tex]

[tex]Fraction = \frac{31}{38}[/tex]

Solving (b): Measure of the center angle

Using arc length formula, we have:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]

[tex]31 = \frac{\theta}{360} * 37.68[/tex]

Make [tex]\theta[/tex] the subject

[tex]\theta = \frac{360 * 31}{37.68}[/tex]

[tex]\theta = 296.18^\circ[/tex]

Solving (c): The area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]

[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]

Divide 360 and 36

[tex]Area = \frac{296.18}{10} * \pi[/tex]

[tex]Area = 29.618 * \pi\\[/tex]

[tex]Area = 29.62 \pi[/tex] --- approximated

Help me pleaseeee thank you

Answers

The answer is D 21t
For each day is an increase of 21

Answer:

D

Step-by-step explanation:

Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t

1/6 divided by 1/2 as a reduced fraction

Answers

Answer:

1/3

Step-by-step explanation:

1/3

Step-by-step explanation:

1/6 ÷ 1/2

Copy dot flip

1/6 * 2/1

Multiply

2/6

Reduce

1/3

Is the function shown in the graph one-to-one?


Yes, there exists one input for every output.

No, there exists more than one input for at least one output.

Yes, there exists one output for every input.

No, there exists more than one output for at least one input.

Answers

Yes, there exists one input for every output.

Which of the following statements about the mapping is not true?

Answers

Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

range can have multiple domain but domain can't have multiple ranges. So you can have (1,3) , (2,3) , (4,3)

but you can NOT HAVE (1,1) , (1,2) , (1,6)

the x value can not repeat in order for it to be a function due to the vertical line test thing

a) Area:
b) Perimeter:
13 cm
add speaker notes

Answers

Answer:

area: 169

perimeter: 52

Please help me with this, its due today

Answers

65+70=135

180-135=45

(x+2)=45
x=43

Answer:

43 is answer

Step-by-step explanation:

65+x+2+70=180

137+x=180

x=43

$5000 grew to $9000 at the compound interest of 12% per annum what was the years taken for the investment​

Answers

Answer:

1year?hehehehehehehehehe

Find the value of x.

Answers

Answer:

x=17 plz the brainliest!

Step-by-step explanation:

3x+39=90

3x+39-39=90-39

3x=51

\frac{3x}{3}=\frac{51}{3}

x=17

Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form

Answers

Answer:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo

Step-by-step explanation:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo
Other Questions
David is driving a steady 30.0 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.10 m/s2 at the instant when David passes. Part A How far does Tina drive before passing David Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form Five boys each have 8 marbles. If alltheir marbles are collected and placedinto8heaps, how many marbles will there be in each jeap ? Indicate whether each equation below is a one-step equation or a two-step equation.25 = x + 3One step equation or two step equation?2b - 7 = 15One step equation or two step equation?10m = 90One step equation or two step equation? How did the Election of 1860 impact the nation? New technology often makes life better for people. Scientists, however, sometimes think that industry and making new technology have negative consequences. Which of the following would be a negative long-term consequence of growing industry and making new technology? A. decreased income for employers B. increased levels of pollution C. increased job availability D. decreased standard of living Andrew has been asked to find out which documents and records are part of the criteria associated with obtaining business credit. Match the documents to their relevance.a business planlabor turnover recordcredit recordsadvertisement campaigncollateralput into groups of CRITERA and NOT criteria A person walks 14 mile in 18 hour.The person's speed is miles per hour. Subtract (6x + 8x - 5) from (7x? + 8x - 4) Which is NOT a permanent cementA.zinc-oxide eugenolb. polycarboxylateC.glass ionomerD.zinc phosphate Hurry please! NO LINKS!! What is the surface area of the sphere below?52.5A. 1257 units2B. 1007 units2C. 12573 units2OD. cannot be determined Have you ever seen a real rainbow write three sentence on it How does thephrase "night-filled room* helpyou picture thesetting and betterunderstand Jamie'smood?Help pleasee Marking brainliesttttt pls answer all means a lot !! 12- Dana raised the high score on a video game from 300 points to 390 points. By what percentage did Dana raise the score ? F-20%G.23%H.30%J.90% (25 POINTS)Which statement best reflects the importance of following safety guidelines?Workplace injuries can result in losses to an organizations profits.OSHA responds to complaints of unsafe work environments, and can fine or take negligent employers to court.Every year, thousands of people die as a result of workplace injuries.Using equipment safely is faster and makes work more efficient. Calculate the molar mass of Ca3(PO4)2934.32 g Ca3(PO4)2 =______ moles Ca3(PO4)2 I just need written answers of a tv show with these things Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not. d+a=h which power is regarded as a reservedpower