A baseball is hit in the air. Its height above the ground is described by the function
Ht=-16t^2+45t+5, where H(t) represents the height in feet of the ball t seconds after it is hit. To the nearest hundredth of a second, for how much time will the ball be in the air? Find algebraically.
help guys plz i suck at math, also step by step is needed Branliest is the reward like always

Answers

Answer 1

Answer:

2.9195

Step-by-step explanation:

To find the time we need to equate the function the zero and solve for t:

[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]

Using the general formula we have that:

[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]

then:

[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]

Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.


Related Questions

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

It is x=7.

Step-by-step explanation:

(7)+8=15 You can subtract and you can get 7!!!

Answer:

X = 7

Step-by-step explanation:

If we take the equation

x + 8 = 15

and then subtract 8 on both sides we get

x = 7

so therefore x is 7 to make the value true.

Your friend is trying to solve the equation. Is your friend correct? Does x = 15? How do you know?

Answers

Answer:

no he is not correct you are supposed to divide by -5 and the correct answer is -4

Step-by-step explanation:

pls mark  brainliest

Answer:

No x doesn't equal to 15. And I know this because -5 -5 = 15 ? which is no

Select all expressions that are equivalent to 2x+3x+8-3x-2.

Answers

Answer:

2x+6 since the +3 and -3x cancel each other out your only left with 2x

A cylinder has a height of 17 millimeters and a radius of 6 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

1921.68mm^3

Step-by-step explanation:

Given data

H=17 millimeters

R=6 millimeters.

We know that the expression for the volume of cylinder is

V= πr^2h

substitute

V= 3.14*6^2*17

V= 3.14*36*17

V= 1921.68 mm^3

Hence the volume is 1921.68mm^3

Find the common difference of the arithmetic sequence 8, 17, 26, 35,

Answers

Answer:

The answer is 9

Step-by-step explanation:

What will happen to a number, if it was added to its inverse?

Answers

Answer:

The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .

Step-by-step explanation:

Answer:

Zero

Step-by-step explananation:

An inverse is the opposite of another number, so if you add them together it would equal zero.

Here are a few examples.

5+-5=0

9+-9=0

150+-150=0

-220+220=0

-476+476=0

The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.

Hope I explained well:)

Evaluate -8 × (-10 + (-7))

Look at the image for more understanding.

Answers

there you go ! hopefully this helps

Answer:

The answer is 136.

Step-by-step explanation:

1) Remove parentheses.

[tex] - 8 \times ( - 10 - 7)[/tex]

2) Simplify -10 - 7 to -17.

[tex] - 8 \times - 17[/tex]

3) Simplify.

[tex]136[/tex]

Therefor, the answer is 136.

help me asap brainliest for correct answer

Answers

I’m pretty sure it’s the 3rd one

ABC is isosceles AC=20 and BC= 3x-7

Answers

Answer:

x=9

Step-by-step explanation:

how many true solutions are in x^2− 6x − 7 = 0

Answers

There are 2 true solutions in x^2-6x-7=0

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

The price of gold is proportional to its
weight. 100 grams of gold costs £2315. Find
the cost of 250 grams of gold.

Answers

Answer:

£5787.50

Step-by-step explanation:

mark brainliest

The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams

Answers

Answer:

HELP ME!?

Step-by-step explanation:

HELP! 9 is what percent of 100 (need to show how I got my answer)

Answers

Answer:

9%

Step-by-step explanation:

We can start by changing this number to a fraction.

[tex]\frac{9}{100}[/tex]

We know that 100 is a whole percentage

Therfore, we would get 9%

The answer is 90% or 9 percent

Someone help me ASAP !

Answers

Answer:

31

Step-by-step explanation:

Find the discriminant. (Must Show Work)

x^2+4x+4=0

Answers

Answer:

0

Step-by-step explanation:

discriminant,b2-4ac

=4^2-4×1×4

=16-16=0

solve (x-3)^2=5
A. x=5+√3
B. x=-3+√5
C. x=3+√5
D. x=8 and x=-2

Answers

Answer:

A

Step-by-step explanation:

we should first find the value of x.

Answer:

C

Step-by-step explanation:

(x-a)^2=5

x-3=root of 5

x= root of 5 +3

Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal

Answers

What’s the question?

Step-by-step explanation:

?

The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answers

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³

TO FIND :-

Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is  [tex]\frac{1}{3} \pi r^2 h[/tex]

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]

determine two pairs of polar coordinates for the point (4, -4) with

Answers

Answer:

(4√2cos 135,  4√2sin135)

Step-by-step explanation:

determine two pairs of polar coordinates for the point (4, -4) with

Given the rectangular coordintate

r = √4²+(-4)²

r = √16+16

r = √32

r = √16*2

r =4√2

Theta = arctan(-4/4)

theta = arctan(-1)

theta = -45

theta = 180 - 45

theta = 135 degrees

x = rcos theta

y = rsin theta

x = 4√2cos 135

y = 4√2sin135

Which equation represents a line which is parallel to x=0?
y=5
x=4
x=1/4y
x=−4y​

Answers

Answer:Answer is A

Step-by-step explanation:

Correct option is

A

6x+2y=15

Given line is   y=−3x+4

This is slope intercept form of a line where slope of line is  −3.

Since, two lines are parallel When their slopes are equal.

Slope of line is 6x+2y=15

⇒2y=−6x+15

⇒y=−3x+

2

15

 is equal to −3

Option A is correct.

Find the first four terms of the sequence given by the following.
an= 9(2)^-1,
n=1, 2, 3...

Answers

Answer:

See this attachment...

Step-by-step explanation:

Your answer dear

hope it's helpful to you

Can someone help me with this it’s timed !!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

1. A

2. Missouri Compromise

3. Abolition

Step-by-step explanation:

true or false? typing 720 words in 12minutes is equal to 60 words per minute

Answers

Answer:

720/60

=12

Yepz

Step-by-step explanation:

True

Hope it helps

Answer:

It's True

Step-by-step explanation:

1 minute = 60 words

then how many words in 12 minutes?

So, Multiply 12 with 60

12 × 60 = 720

Thus, 720 words can be type in 12 minutes

-TheUnknownScientist

does anyone know the answer to this ?

Answers

Answer:answer b

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Find x, y, and z in the figure.

Answers

Answer:

Since x + y + z = 180° and z = 90°, y + z = 90°

Thus x + y = z  

Step-by-step explanation:

Which equation represents the relationship between m and d on the chart below?
Plssss Hurry!!

Answers

Answer:

I guess the answer is 6.the last choice

Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain

Answers

Answer:

Yes

Step-by-step explanation:

Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]

This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.

Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.

The segments shown below could form a triangle.

A. True
B. False

Answers

The answer is True.
The answer is true because it just is

HELP PLEASE, I will mark brainless

Answers

to find the slope take two ordered pairs and put them in form of x2-x1/y2-y1 and then you can find the slope.

(-2,17) (-3,20)

(-2)-(-3) = 1
(17)-(20)=-3

slope is 1/-3
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