20 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second!

20 POINTS!!! Use The Quadratic Formula Above To Solve For H(t) = -4.9t^2 + 8t + 1 Where H Is The Height

Answers

Answer 1

Answer:

Two solutions: -0.12 and 1.75.

Step-by-step explanation:

The quadratic formula is:

[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]. Assuming that the x² term is a, the x term is b, and the constant is c, we can plug the values into the equation.

[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {8^2 - 4\cdot-4.9\cdot1} }}{{2\cdot-4.9}}} \end{array}[/tex]

[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {64 + 19.6} }}{{-9.8}}} \end{array}[/tex]

[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {83.6} }}{{-9.8}}} \end{array}[/tex]

[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {9.14} }}{{-9.8}}} \end{array}[/tex]

[tex]\frac{-8 + 9.14}{-9.8} = -0.12[/tex]

[tex]\frac{-8-9.14}{-9.8} =1.75[/tex]

Hope this helped!


Related Questions

A group of 22 students participated in a math competition

Answers

What is the question now??

I Need HELP PLEASE ANYONE U GET 5 STARS IF RIGHT ANSWER !

Answers

Answer:

4√(7^5) and (4√7)^5

Step-by-step explanation:

7^5/4

The above can be expressed as follow: Method 1:

7^5/4

(7^5)^1/4

Recall:

(a^m)^1/n = n√(a^m)

Therefore,

(7^5)^1/4 = 4√(7^5)

Method 2:

7^5/4

(7^1/4)^5

Recall:

(a^1/m)^n = (m√a)^n

Therefore,

(7^1/4)^5 = (4√7)^5

From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5

2 hours 40 minutes +11 hours 40 minutes​

Answers

14hrs 20mins

This is the answer, and I hope this helps you dear friend ※

Answer:

14 hours 20 minutes

Step-by-step explanation:

→ Convert 2 hours and 40 minutes into minutes

2 hours + 40 minutes ⇒ 2 hours = 120 minutes + 40 minutes ⇒ 120 + 40 ⇒ 160 minutes

→ Convert 11 hours and 40 minutes into minutes

11 hours + 40 minutes ⇒ 11 hours = 660 minutes + 40 minutes ⇒ 660 + 40 ⇒ 700 minutes

→ Add the total minutes together

700 minutes + 160 minutes = 860 minutes

→ Convert 860 minutes into hours

860 minutes = 14 hours + 20 minutes

what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6

Answers

[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]

Jack is 10 years old.
Kylie is 17 years old.
Vanessa is 23 years old.
Kylie and Vanessa share £16 in the ratio of their ages.
Kylie gives 20% of her share to Jack.
Vanessa gives a quarter of her share to Jack.
How much money does Jack receive?
plz answer me step by step plzz plz ​

Answers

Answer:

3.66

Step-by-step explanation:

calculate their shares and then add the amount they gave to Jack

3.3. (08.01 LC) Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points) . 4. (08.01 MC) Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (4 points)

Answers

Answer:

1. C = 10π, A = 25π

2. 9 cm³

Step-by-step explanation:

Formula for circumference = πd

Formula for area of a circle = πr²

1. Set up the equation for circumference

10π

2. Set up the equation for area (radius = 1/2diameter) and solve

π(5²) = 25π

Formula for volume of a square pyramid = 1/3 · h

The volume of a square pyramid is equal to 1/3 of the volume of a cube. The formula for a volume of a cube is s³ which is equal to s² · h because a cube has the same side length for all sides. Therefore, the volume of a square pyramid that perfectly fits within a given cube would equal 1/3 the volume of the cube.

1. Set up the equation and solve

27 ÷ 3 = 9

Answer:

            3.  The fourth:  C= 10π,  A = 25π             4.   The third:  9 cm³

Step-by-step explanation:

3.

diameter is equal two radiuses

D = 10 = 2R   ⇒  R = 5

circumference:  C = 2πR = 2R•π = 10π

area:                    A = πR² = π•5² = 25π

4.

If square pyramid fit perfectly inside cube then its base is the same as a face of cube, and the height (H) of pyramid is equal to the edge (S) of its base.

[tex]A_p=\frac13S^2\cdot H =\frac13S^2\cdot S=\frac13S^3=\frac13A_c=\frac13\cdot27\,cm^3=9\,cm^3[/tex]

Find the distance across the lake. Assume the triangles are similar.
85 m
X
у
20 m
60 m

Answers

Answer:

B. 255 m

Step-by-step explanation:

use similar triangle

L / 60 = 85 / 20

L = (85 * 60) / 20

L = 255 m

The distance across the lake will be 255 meters. Then the correct option is B.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

In an isosceles triangle, two angles and their opposite sides are equal.

The dimensions of the first triangle are L, 85, and y. And the dimensions of the second triangle are 60, 20, and x.

It is given that the triangles are similar.

Then the ratio of their corresponding sides will be

L / 60 = 85 / 20 = x / y

From first two terms, then the equation will be

L / 60 = 85 / 20

L / 60 = 4.25

       L = 4.25 x 60

       L = 255 m

The distance across the lake will be 255 meters.

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

The sum of the ages of Noi's and Noy's is 26 years. The different between four times Noi's age and two times Noy's age is 28 years. Find the age of Noi and Noy.

WRITE AS AN EQUATION​

Answers

Answer:

The age of Noi is 13.333 Years and the age of Noy is 12.67 years

Step-by-step explanation:

The given  information are;

The sum of the ages of Noi and Noy = 26 years

Four times Noi's age - Two times Noy's age = 28

Let the age of Noi = X and let the age of Noy = Y

We have;

X + Y = 26 years.................(1)

4X - 2Y = 28 years.............(2)

Divide equation (2) by 2 to get;

(4X - 2Y)/2 = (28 years)/2 which gives;

2X - Y = 14 years.................(3)

Add equation (3) to equation (1), to get;

X + Y +  2X - Y = 26 years + 14  years

3X = 40 years

X = 40/3 = 13.333 Years

From equation (1), X + Y = 26 years, therefore;

Y = 26 - X = 26 - 13.33 = 12.67 years

Therefore, the age of Noi = 13.333 Years and the age of Noy = 12.67 years.

A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ? ​

Answers

Answer:

Height= 4.5 Volume= 91.125

Step-by-step explanation:

Height. Is the square root of the floor area = 4.5 volume is this length cubed = 91.125

Evaluate the following expression. −8 × (−10) −7× 1/−1

Answers

Answer:

87

Step-by-step explanation:

[tex]-8\left(-10\right)-7 \times \frac{1}{-1}=87\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=8\times \:10-7\times \frac{1}{-1}\\\\8\times \:10=80\\\\7\times \frac{1}{-1}=-7\\\\=80-\left(-7\right)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=80+7\\\\=87[/tex]

yoyoyo pls help with math

Answers

Answer:

C

Step-by-step explanation:

Calculate the ratio of corresponding sides, image to preimage, that is

scale factor = [tex]\frac{DE}{AB}[/tex] = [tex]\frac{14}{35}[/tex] = [tex]\frac{2}{5}[/tex] → C

prove the following​

Answers

Answer:

Step-by-step explanation:

sin(180°-∅)=sin∅ as its in the 2nd quadrant

then tan(180°-∅)= -tan∅ as its in the 2nd quadrant and there only sin and cosec is positive and at last cos(180°-∅) = -cos∅ for the same reason

so by putting the values:

sin∅/sin∅ + -tan∅/tan∅ + -cos∅/cos∅ =1-1-1= -1

thanks ..

The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1. 10 kilometers. About how many more kilometers is the
distance of Venus from the Sun than the distance of Mercury from the Sun?

Answers

Answer:

I would say about 5 times but I am not sure so if it is wrong am sorry.

Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day.

Answers

Answer:

[tex]C. \left[\begin{array}{c}370\\228.5\\332\end{array}\right][/tex]

Step-by-step explanation:

Given the table of values for number of servings:

[tex]\begin{center}\begin{tabular}{ c c c c} & Small & Medium & Large\\ Cappuccino & 70 & 55 & 62 \\ Mocha & 42 & 34 & 39 \\ Latte & 59 & 63 & 47 \\ \end{tabular}\end{center}[/tex]

Cost of each coffee for a particular serving is same.

Cost of small serving = $1.50

Cost of medium serving = $2

Cost of large serving = $2.50

To find:

Matrix of revenue generated from sales of each coffee.

Solution:

Revenue generated by a particular coffee = Sum of (cost of each serving multiplied by number of particular servings)

So, revenue by Cappuccino = [tex]70 \times 1.5 +55 \times 2 + 62 \times 2.5 = \bold{\$370}[/tex]

So, revenue by Mocha = [tex]42\times 1.5 +34 \times 2 + 39 \times 2.5 = \bold{\$228.5}[/tex]

So, revenue by Latte = [tex]59\times 1.5 +63\times 2 + 47 \times 2.5 = \bold{\$332}[/tex]

So, the correct answer is:

[tex]C. \left[\begin{array}{c}370\\228.5\\332\end{array}\right][/tex]

the product of a number and five is eight

Answers

Answer:

Assuming x is the number, then [tex]x=1.6[/tex]

Step-by-step explanation:

If the product of a number and 5 is 8, the equation becomes:

[tex]5x=8[/tex] (assuming x is the unknown number).

We can isolate the variable x by dividing both sides by 5.

[tex]5x\div5 = 8\div5\\x = 1.6[/tex]

Hope this helped!

In a family with ​children, the probability that all the children are girls is appoximately . In a random sample of 1000 families with ​children, what is the approximate probability that or fewer will have ​girls? Approximate a binomial distribution with a normal distribution.

Answers

Answer:

The probability that 100 or fewer will have 3 ​girls is 0.00734.

Step-by-step explanation:

The complete question is:

In a family with ​3 children, the probability that all the children are girls is approximately 0.125. In a random sample of 1000 families with ​3 children, what is the approximate probability that 100 or fewer will have 3 ​girls? Approximate a binomial distribution with a normal distribution.

Solution:

Let X represent the number of families who has 3 girls.

The random variable X follows a Binomial distribution with parameters n = 1000 and p = 0.125.

But the sample selected is too large.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 [tex]np=1000\times 0.125=125>10\\\\n(1-p)=1000\times (1-0.125)=875>10[/tex]

Thus, a Normal approximation to binomial can be applied.

So,  [tex]X\sim N(\mu=np,\sigma^{2}=np(1-p))[/tex]

The mean and standard deviation are:

[tex]\mu=np=1000\times 0.125=125\\\\\sigma=\sqrt{np(1-p)}=\sqrt{1000\times 0.125\times (1-0.125)}=10.46[/tex]

Compute the probability that 100 or fewer will have 3 ​girls as follows:

Apply Continuity correction:

[tex]P(X\leq 100)=P(X<100-0.50)[/tex]

                  [tex]=P(X<99.50)\\\\=P(\frac{X-\mu}{\sigma}<\frac{99.5-125}{10.46})\\\\=P(Z<-2.44)\\\\=0.00734[/tex]

*Use a z-table.

Thus, the probability that 100 or fewer will have 3 ​girls is 0.00734.



While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top of the lighthouse is 48°

What can you conclude about the height of the lighthouse, with respect to Jacob's distance from the lighthouse? Explain your answer.

Answers

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

      = 150 × 1.1106

     = 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

Answer:

The height of the lighthouse is approximately 42.

Step-by-step explanation:

This situation forms a right triangle so the angles would be 90 and 48

90+48+x=180

138+x=180

x=180-138

x=42

Find the distance of (2,5) and (-1,3)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Insert the values:

[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]

Simplify:

[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]

The distance between the two points is the square root of 13.

:Done

Answer: [tex]\sqrt{13}[/tex] or 3.61

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]=\sqrt{13}[/tex]

2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2​

Answers

Answer:

The equation is y= 120x+ 635

Step-by-step explanation:

Hey there!!!,

in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line

i.e y= mx+c

From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.

Comparing the statement withe equation of line we have

  y= 120x+ 635

as "x" is the number of weeks worked and $635 is the constant amount at hand.

Should you need further clarification on this, let me know

Plz help: Round the numbers to estimate the quotient. 29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction Which numbers should be used? ÷ The estimated quotient is...

Answers

Answer:

29 divided by 5

quotient is 5 4/5

Step-by-step explanation:

I just took that test from school

Answer: 29 divided by 5. 5 4/5

Step-by-step explanation:

I have proof plz mark me brainliest

What is the scale factor in the dilation?
Answer Choices
2/5
1/2
2
2 1/2

Answers

i think it is the answer is 2/5

Answer:

either 2 or 2 1/2

Step-by-step explanation:

Since the pre-image gets bigger, the scale factor is larger than 1.

Please help me on this question

Answers

Answer:

you need to add 11 red circles

Step-by-step explanation:

1:3     one red and three blues

r=12   b=3

r:b  =12:3

12:3 is the same as 4:1

you have to add 11 red circles

Between which two integers does square root of /500 lie?

Answers

Answer:

22 and 23

Step-by-step explanation:

Step 1: Solve the square root

[tex] \sqrt{100 \times 5} [/tex]

[tex] \sqrt{ {10}^{2} \times 5 } [/tex]

We can move the 10² out because it matches the index of the root

[tex]10 \sqrt{5} [/tex]

Step 2: Input into calculator to find decimals

[tex]10 \sqrt{5} = 22.36[/tex]

Therefore the square root of 500 lies between 22 and 23

22 and 23

Because 5000 is between 222

(484) and 232 (529), the square root of 500 is in between 22 and 23..

A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?

Answers

Answer:

1/2 a minute (30 seconds)

Step-by-step explanation:

475/50=9.5

450/50=9

9-9.5=.5

After Marshall's alarm went off, he spent 3/4 hr getting ready for school. He walked 1/6 hr to the bus stop, waited 1/12 hr, rode1/4 hr, and arrived at school at 8:30 A.M..What time did his alarm go off?

Answers

Answer:

7:15 am

Step-by-step explanation:

1. Add the times together by finding a common denominator

3/4 = 9/12

1/6 = 2/12

1/12 = 1/12

1/4 = 3/12

9/12 + 2/12 + 1/12 + 3/12 = 15/12

It took him 15/12 of an hour in total.

2. Convert to hours

15/12 = 1 3/12

3/12 = 1/4

1/4 of an hour is 15 minutes.

I took him a total of 1 hour and 15 minutes.

3. Subtract 1 hour and 15 minutes from 8:30

8:30 - 1:15 = 7:15

A to the power of 6 = a to he power 2

Answers

Answer:

a = 0, i, -i, 1, -1

Step-by-step explanation:

What we're basically looking for here is a number, that when multiplied by itself any amount of times, will get us with the same number.

We know that 0 times and number will be 0, so 0 works.

1 times any number will be 1, and -1 would also work as -1² = 1.

i would also work as it represents the square root of a negative, and -i would also work.

Hope this helped!

To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the park. How much farther would Felix travel by riding along two sides of the park than he would by taking the path through the park?

Answers

Answer:

c=5.9/6(G)

Step-by-step explanation:

first find the 2 distances.

a^2+b^2=c^2                    c=2.4+.7              

7^2+2.4^2=c^2                  c=3.1

.49+5.85=c^2                    

c^2=6.34

c=√6.34

c=2.51.

next subtract the two distances to find the difference.

c=2.51-3.1

c=.59

so the distance would be .59 which can be rounded up to .60/G

explanation on how I knew the answer.

Im reviewing for the math 8th grade staar.

Question 3 Multiple Choice Worth 2 points)
04.04
The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win today for the team to have a 75%
Success rate?
8
10
12
15

Answers

Answer:

Total number of matches need to win = 15

Step-by-step explanation:

Given:

Total number of race completed = 45

Total races win = 30

Success rate = 75% = 0.75

Find:

Total number of matches need to win

Computation:

Assume, extra number of matches = y

Extra number of win matches = x

So,

(30 + x) / (45 + y) = 0.75

Assume y = x

So,

(30 + x) / (45 + x) = 0.75

30 + x = 33.75 + 0.75 x

x = 15

Total number of matches need to win = 15

is the sum of any two numbers is greater than the larger of the two numbers?

Answers

Answer: Yes the sum of any two numbers is greater than the larger of the two numbers.

Step-by-step explanation:

Yes the sum of any two numbers is greater than the larger of the two numbers.

Let us assume that the two numbers are a and b and ab is the number.

a + b > a

b > a – a

b > 0

This therefore implies that b > 0.

This may however not be true when the value of b is zero(0) or a negative number.

The pepper plant has \dfrac{2}{3} 3 2 ​ start fraction, 2, divided by, 3, end fraction as many fruits on it as the tomato plant has. The tomato plant has 999 fruits on it.

Answers

Answer:

6 pepper fruits

Step-by-step explanation:

Given the following :

Fraction of pepper in terms of tomato = 2/3

Number of fruits on pepper plant = 9

Therefore number of pepper fruits on pepper plant:

2/3 * number of tomato fruits

2/3 * 9

(2 * 3) = 6

6 pepper fruits.

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