The flight of a javelin released six. 5 feet from the ground at an initial velocity of 68 ft./s is modeled by the function age equals 16 t^2+68t+6.5 where H is the height of the Javelin in feet after t seconds. When will the javelin hit the ground? Round to the nearest hundredth if necessary

Answers

Answer 1

The equation of the javelin path h(t) = -16t^2+68t+6.5 is a quadratic function

The javelin hits the ground after 4.344 seconds

How to determine when the javelin hits the ground?

The equation of the javelin path is given as:

h(t) = -16t^2+68t+6.5

When it hits the ground, h(t) = 0.

So, we have:

-16t^2+68t+6.5 = 0

Using a graphing calculator, we have:

t = 4.344 and t = -0.094

Time cannot be negative.

So, we have:

t = 4.344

Hence, the javelin hits the ground after 4.344 seconds

Read more about quadratic functions at:

https://brainly.com/question/18797214


Related Questions

Calculate the sum of the interior angles of the following hint.

Answers

Answer:

A- 900 degrees

B- 1800 degrees

C- 540 degrees

The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.

Please help me with this question

Answers

Answer:

(A.

Explanation:

In A, line AD straight into BC, thus creating two 90 degree angles. This means that they are perpendicular.

(: Hope this helps

In the jeweler's workshop, the ruby would be clasped tightly into a settin
flanked by diamonds.
Based on word parts, what is the meaning of flanked in the sentence?
the side of the body on a person or animal

to be situated on each side of a possession

to guard or strengthen an item from the side

SHORT EXPLANATION
the right or left side of a large body of people

Answers

Situated on Each side of a possession

Answer:

To be situated on the sides of the Ruby (Surrounding the Ruby)

Step-by-step explanation:

If a=9 and b=4, what is the value of 2a−b ?

Answers

Replace a and b with their values:

2(9) -4 = 18-4 = 14


answer: 14

Answer:

14

Step-by-step explanation:

2a - b

substitute the variables

2 × 9 - 4

18 - 4

14

help PLEASEE! Might post a lot of these sorry


(For some reason it keeps posting the same question multiples times)

Answers

Answer:

A = 189 sq units

Step-by-step explanation:

You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:

rectangle: 16 × 8

sm rectangle: 3 × 4

Some sides you have to add to find (the height of the whole entire thing: 16+4+4)

Some lengths you have to subtract to find (height of the triangle: 24 - 10).

Area of a rectangle:

length × width OR

base × height

Area of a triangle:

1/2 • b • h

Add up all three areas. See image.

I really need help . It’s the second part of the eqaution that confuses me .

Answers

18+6=24
10x2= 20

Answer: 5^24 / 5^20 = 5^ 4

Answer:

The answer is 5^4

Step-by-step explanation:

You are given the expression 5^18 times 5^6 while all over (5^10)^2

First, let's simplify the numerator

Whenever you multiply exponents with the same base, which is 5 in this case, you have to add the exponents or powers

Keep the base the same and 18 and 6 together

So, 5¹⁸ ° 5⁶ = 5¹⁸⁺⁶ = 5²⁴

you have 5²⁴ in the numerator

now let's work on simplifying the denominator

Whenever you have number that has a power and is taken to another power, you multiply the powers

We call this the power of the power rule

So, (5¹⁰)² = 5¹⁰ˣ² = 5²⁰

Now the denominator is 5^20

We have 5^24/5^20

Now you just subtract the powers 24-20=4

And you get 5^4

Hope this helps

qyestion/ graph above ​

Answers

Answer:

2010

Step-by-step explanation:

I do not think so

We did it! We made it to the end! thanks for helping everyone!​

Answers

Answer:

12.058

Step-by-step explanation:

You steal one "count" from the 8, and move it to the 7 so you have 12.0587, instead of 12.0578. Then, you are able to take off the 7 from the back.


Use the formula for,P, to solve the following question.
For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?
ways

Answers

Answer:

604800 different ways to order the program

Step-by-step explanation:

using the formula for permutation, not combination because the order of the records matter

n!/(n-r)!

n is the total number of choices (10)

r is the number that is chosen from the total number (7)

Please help I will give brainliest!
Explain how you would find the perimeter of this triangle.

Answers

Answer:

Step-by-step explanation:

51+90=141.3

180-141.3=38.7

90+38.7+51.3

So 4 and a number equal 90 degrees.

51.3 degrees are the number of 4 and c^2

We can use the Pythagorean theorem to find out that a^2 is 16

16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.

a=51.3

b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.

Meaning it will be 7.02

7.02+4=11.02

                             

Pls help

In the previous three lessons, you have learned a lot about factoring. In this lesson, we will put it all together. Reply to the discussion by summarizing one thing that you have learned about the connections between finding the GCF of numbers, the distributive property, multiplying polynomials, and factoring.

Answers

The GCF and distributive property is used in factoring two or more numbers.

What is GCF?

The GCF (greatest common factor) is the greatest common divisor of two or more integers i.e. the largest positive integer that divides each of the integers.

The GCF and distributive property is used in factoring two or more numbers.

Find out more on GCF at: https://brainly.com/question/219464

The diameter of a circle is 18 ft. Find its area in terms of pi

Answers

Answer:

81π

Step-by-step explanation:

To find the area of a circle, the formula is πr^2

r=radius, and radius is half the diameter, so it is 9.

Plug the radius into the formula to get 81π

(9^2*π)

If this answer helped you, I would greatly appreciate the brainliest :D

דיי יוטורסם
$9000 is invested at 8% compounded quarterly. In how many years will the account have grown to $14,500?
Round your answer to the nearest tenth of a year

Answers

i could be wrong but 1.5 years?

find the area of the circumference of a circle with diameter 7yd use the value 3.14 as pie

Answers

Given,

Diameter of the circle = 7 yd

Have to take the value of π as 3.14

[tex] \: [/tex]

To Find,

The area and the circumference of a circle.

[tex] \: [/tex]

Solution :

As, the diameter is 7 yd, therefore the radius will be 3.5 yd

First of all, we'll find the circumference of the circle :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]

Now, we'll substitute the required values in the formula :

[tex]\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 3.5}}} \: \: \\ \\[/tex]

[tex] { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 3.14 \times 7}}} \: \: \\ \\[/tex]

[tex] { \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_{(circle)} = 21.98}}}} \: \: \\ \\[/tex]

Therefore,

The circumference of the circle is 21.98 yd

[tex] \: [/tex]

Now, we'll find the area of the circle :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_{(circle)} = \pi r^2}}}}}} \: \: \bigstar \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times (3.5)}^{2} }}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times 3.5 \times 3.5 }}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times 12 .25 }}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_{(circle)} = 38.465 }}}}}} \: \: \\ \\[/tex]

Therefore,

The area of the circle is 38.46 yd² approximately

Solve for x in the equation x squared minus 12 x 36 = 90.

Answers

Answer:

x = ±3√58

Step-by-step explanation:

Given

x² - (12 x 36) = 90

Solving

x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58

Answer:

[tex]x =[/tex] ± [tex]22.85[/tex]

Step-by-step explanation:

Step 1:  Multiply 12 * 36

[tex]x^2 - (12 * 36) = 90[/tex]

[tex]x^2 - 432 = 90[/tex]

Step 2:  Add 432 to both sides

[tex]x^2 - 432 + 432 = 90 + 432[/tex]

[tex]x^2 = 522[/tex]

Step 3:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{522}[/tex]

[tex]x =[/tex] ± [tex]22.85[/tex]

Answer: [tex]x =[/tex] ± [tex]22.85[/tex]

Which is the largest ratio?

StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3

Answers

Answer:

Convert these ratios into fractions and then into their actual values.

(This is just one way of solving this, there are other plentiful ways you could use to solve this.)

2 : 9

Will become

2/9

Which will result in

0.222...

3 : 18

Will become

3/18

Which will result in

0.1666...

1 : 3

Will become

1/3

Which will result in

0.333...

Now, compare these numbers:-

0.222..., 0.1666..., and 0.333...

And out of these three numbers, 0.333... is by far the greatest number out of all of these ratios.

Therefore, the ratio 1:3 is the largest ratio.

What is the constant of proportionality when y=55 and x=1/4

Answers

Answer:

HEY BABE SO, THE ANSWER IS $19.99

Step-by-step explanation:

if you devide 67 and 78  you get 19.99!!!!11


HELP!!! On 4 6 and 7

Answers

Is this college or high school math anyway don’t stress yourself relax you can do it

If you roll two dice, one red and one blue, what is the probability that the red die shows 5 and the product of the two dice is less than 20?

Type your answer into the box as a decimal. Round to the nearest thousandth.

Answers

The horses name was Friday

What are the measures of Angles a, b, and c? Show your work and explain your answers.

IM NOT LOOKING FOR ANY JOKES OR STUFF, JUST STRAIGHT UP SHOW THE WORK AND THE ANSWER PLEASE. (30 PNTS IF ANSWERED CORRECTLY) NEED HELP ASAP!

Answers

Answer:

a= 30
b= 60 (pretty sure)
c=105

Step-by-step explanation:

a is a vertical angle to 30, so that means it is also equal to 30.

To find b, since it's on a straight line, you can add up the angles in the triangle and solve for b.

30+90=120

120+b=180

b=60

To find c, you subtract 75 from 180 since it's also a straight line equal to 180 degrees.

For the point p and q​, find the distance​ d(p,q) and the coordinates of the midpoint m of the segment pq.

Answers

The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2

How to calculate the distance between two points and midpoint?

The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.

The formula for calculating the midpoint is expressed as:

[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]

Given the coordinate points p(-10, -8) and (-5, -3).

Calculate the midpoint of pq

[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]

Hence the midpoint of the coordinate pq is (-7.5, -5.5)

Determine the distance pq

pq = √(-3+8)²+(-5+10)²

pq = √(5)²+(5)²

pq = √50

pq = 5√2

Hence the distance between the point pq is 5√2

Learn more on midpoint and distance here: https://brainly.com/question/17498679

3.
Laura multiplied 27,890 by a fraction with a numerator of 12. The product
was less than 27,890. Which of the following statements is true about the
denominator of Laura's fraction?

Answers

Answer:

I don't see any optional answers, but the denominator must be greater than 12.

Step-by-step explanation:

27,890*(12/X) < 27,890

Therefore (12/X) < 1

and X > 12

PLSS HELP!! FIRST ANSWER GETS BRAINLIEST!!!!
At a baseball game, the Rebelos orrdered 2 hot dogs and 3 cheese burgers and paid $20.00. The Caines ordered 2 hot dogs and 5 cheeseburgers and paid $29.00. What is the cost of one cheeseburger?

Answers

Answer:

$4.5

Step-by-step explanation:

Hot dogs=h

Cheese burgers=c

2h+3c=20

2h+5c=29

There are two ways to solve-

1. Elimination- multiply the bottom by -1.

2h+3c=20

-2h-5c=-29

-2c=-9

c=4.5

2. Just move 2h, and you get 2c=9, 4.5


9 ft
5 ft
5
5 ft
12 ft
7 ft
14 ft please help with this Question please I need it for homework

Answers

Answer:

I assume this is area.

5×7=35

12×9= 108

add 35 and 108 = 143

if this isn't area send a comment and I'll give the answer if it's something different

What is the surface area? 34 in 30 in 34 in 32 in 36 in​

Answers

Answer:

If I am correct to work out the surface area you need to do base times height so the calculation would be...

32(base) × 30(height)

which equals 960 square inches

Please do check with someone else the answer, as I am not that confident and new

List one of the "modes" of the
test scores. (Mode means the
numbers that appear the most
often in a set.)
Test Scores: 100, 75, 40, 90,
80, 100, 92, 88, 80, 84, 81

Answers

Answer:

100 & 80

Step-by-step explanation:

100 appears twice...same with 80

Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer.
A(2, 3) B(0,2) C(4,0) D(2,-1)

Answers

Answer: Trapezoid

Step-by-step explanation:

please help me with A, B, and C

Answers

Answer:

A. 120 ft

B. 119

C. 2100 ft

Step-by-step explanation:

A. (Slipt the shape into 2 parts so it will be simpler)

For the triangle : 1/2 (4x12)

And for the rectangle : 12x8

1/2 (4x12) = 24

12 x 8 = 96

24 + 96 = 120 ft

_________________________________

B. (this time we can split it into 3 parts)

Longer rectangle : 12x6

Short rectangle : 5x5

Triangle : 1/2 (4x11)

LR : 12x6 = 72

SR : 25

T : 1/2 44 = 22

72+25+22 = 119

______________________________________

C. (Like the first one, we can split it into 2 parts)

Rectangle : 50x30

Triangle : 1/2 40x30

R : 1500

T : 1/2 1200 = 600

1500 + 600 = 2100

Hope this helps :)

-
- What is the value of the expression 1\3x (5 + 7 x 4) - 10?

Answers

Answer:

-10x + 11/x

Step-by-step explanation:

I think you mean to simplify

1/3x(5+(7)(4))-10

= -30x + 33/3x

= -10x + 11/x

In the figure shown below, cos 0 =

Answers

[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\\~~~~~~~=\dfrac{3}{\sqrt{3^2 +2^2}}~~~~~~~;[\text{Pythagorean theorem.}]\\\\\\~~~~~~~=\dfrac{3}{\sqrt{9+4}}\\\\\\~~~~~~~=\dfrac{3}{\sqrt{13}}[/tex]

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