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

find the area of quadrilateral ABCD.

Answers

The correct answer is B. 14.89 units squared.

Find the area of each triangle and add them together. Heron’s formula explains it better than me. Lol

Answer:

           14.89 units²

Step-by-step explanation:

[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]

We can use Heron's formula to calculate area of triangles:

[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex]   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]

[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]

Write a short account on farmer with the help of statement given, it says that the Indian farmer is born in dept lives in dept and die in dept.
plese help. need help.

Answers

Answer:

sir Malcolm darling

Step-by-step explanation:

he has said Indian farmer is born in dept lives in dept and die in dept.

Emergency help will mark brainliest answer

Answers

Answer:

Step-by-step explanation:

Use the formula

[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:

[tex]A(t)=5000(1+.05)^6[/tex] and simplifying a bit:

[tex]A(t)=5000(1.05)^6[/tex] and a bit more:

A(t) = 5000(1.340095641) so

A(t) = 6700.48

which choices are equivalent to the exponential expression below? check all that apply. 5/3^3
Answers:
5^3/3^3
3 x (5/3)
25/9
15/9
5/3 x 5/3 x 5/3
125/27

Answers

Answer:

5/3 x 5/3 x 5/3

125/27

5^3/3^3

3 x (5/3)

Step-by-step explanation:

(5/3)^3 = 5×5×5/3×3×3 = 125/27.

What is the sum of the geometric series below?

3+1+1/3+1/9+1/27

Answers

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]

answer for brainiest

Answers

Answer:

Hello

answer :B and C

Step-by-step explanation:

√25=5 is an integer

b) is not an integer

c) is not an integer=0.75

d) is an integer

select the shape of the graph of this two variable equation. y=4x^(2)-1

Answers

Answer:

The highest power of the equation is 2, since the equation is y = 4x^2 - 1. That means that the graph is a parabola. And because the 4 is positive, the parabola curves into a smile.

You can use the Math is Fun Function and Calculator to graph the parabola.

Hope this helps!

In a right triangle ABC , C is the right angle What does sin B equal​

Answers

Answer:

The answer is......

COS A

solve 2<2x+4<10 for x

Answers

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Let's solve your inequality step-by-step.

[tex]2<2x+4<10[/tex]

[tex]2 + -4 < 2x + 4 + -4 < 10 + -4[/tex] (Add -4 to all parts)

[tex]-2 < 2x < 6[/tex]

[tex]\frac{-2}{2} < \frac{2x}{2} < \frac{6}{2}[/tex] (Divide all parts by 2)

[tex]-1 < x < 3[/tex]

So the answer is : [tex]-1 < x < 3[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Correct answer gets 5 stars and brainliest

Answers

Answer:

Step-by-step explanation:

C(3 , -2)   & D (7, -8)

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

[tex]CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\[/tex]

≈ 7.2 units

If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.

A. 9 B. 8 C. 7 D. 5​

Answers

So our set of numbers is  5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5  does equal 7 so therefore A is your answer

Can someone answer this pls

Answers

Answer:

Domain is [tex]x \ge d[/tex]

You'll check the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d". So you'll have 3 boxes checked.

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

Explanation:

We cannot have a negative number under the square root, and get some real number output. For example, the result of [tex]\sqrt{-4}[/tex] isn't a real number.

That means we need to have the "x-d" under the square root to be 0 or larger.

[tex]x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d[/tex]

The domain is [tex]x \ge d[/tex] telling us that x = d is the smallest x value we can plug in

So that's why we check off the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d" as shown below.

A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?

Answers

Answer:

A. 10.125 minutes

Step-by-step explanation:

A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?

A. 10.125 minutes

B. 10.125 seconds

C. 10.12 seconds

D. 10.1 seconds

The stopwatch measures time to the hundredth of a second.

Option A. Measures the time to thousandth of a minutes

Option B. Measures time to thousandth of a second

Option C measures time to hundredth of a second

Option C measures time to tenth of a second.

Option A. 10.125 minutes is the quantity which is not possible using the stopwatch because it is in MINUTES.

Option B 10.125 seconds can be rounded up to 10.13 seconds (hundredth of seconds).

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Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).

Thank you!!

Answers

Answer:

To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Find each rate and unit rate.
420 miles in 7 hours

Answers

Answer:

60 miles per hour.

Step-by-step explanation:

420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.

Hope this helps!

Answer:

60 miles / hour

Step-by-step explanation:

The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.

miles/hours

We know it is 420 miles in 7 hours.

420 miles / 7 hours

Divide 420 by 7

420/7=60

60 miles/ hour

The unit rate is 60 miles per hour.

Is the relation a function? Explain

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

No, it is not a function.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

If we preform a vertical line test on the graph, then the line would pass the relation multiple times. This means that it is not a function. See the picture attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the common ratio of the geometric sequence: 3,4,
16/3,...
A.1
B.3/4
C.4/3
D.-1

Answers

Answer:

C

Step-by-step explanation:

The common ratio r of a geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{3}[/tex] → C

Answer:

C)

Step-by-step explanation:

Geometric Sequence:

3, 4 , [tex]\frac{16}{3}[/tex]......

Common ratio = [tex]\frac{second term}{first term}[/tex]

  = [tex]\frac{4}{3}[/tex]

ux=x+y/k, solve for x

Answers

Answer:

x = y/( ku-1)

Step-by-step explanation:

Here in this question, we are asked to solve for x.

we have;

Ux = x+ u/ k

cross multiply;

k * Ux = x + y

kUx = x + y

kUx- x = y

x(KU-1) = y

x = y/( ku-1)

In a previous​ poll, ​% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose​ that, in a more recent​ poll, of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased? Use the significance level.

Answers

Answer:

We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

Step-by-step explanation:

The complete question is: In a previous​ poll, ​46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose​ that, in a more recent​ poll, 480 of 1081 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased? Use the [tex]\alpha[/tex] = 0.10 significance level.

Let p = population proportion of families with children under the age of 18 who eat dinner together seven nights a week.

So, Null Hypothesis, : p 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remains same}

Alternate Hypothesis, : p < 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased}

The test statistics that will be used here is One-sample z-test for proportions;

                             T.S.  =    ~  N(0,1)

where, [tex]\hat p[/tex] = sample proportion of families = [tex]\frac{480}{1081}[/tex] = 0.44

           n = sample of adults with children under the age of 18 = 1081

So, the test statistics =    

                                   =  -1.32

The value of z-statistics is -1.32.

Also, the P-value of the test statistics is given by;

                    P-value = P(Z < -1.32) = 1 - P(Z [tex]\leq[/tex] 1.32)

                                  = 1 - 0.9066 = 0.0934

Since the P-value of our test statistics is less than the level of significance as 0.0934 < 0.10, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.

Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia

Answers

Answer:

28

Step-by-step explanation:

x = medals won by Russia

y = medals won by China

z = medals won by United States

Write a system of equations:

x + y + z = 96

z = y + 4

x + z = 2y

Substitute the second equation into the first and third:

x + y + y + 4 = 96

x + y + 4 = 2y

Simplify:

x + 2y = 92

x + 4 = y

Substitute for y:

x + 2(x + 4) = 92

x + 2x + 8 = 92

3x = 84

x = 28

Russia won 28 medals.

Which means China won 32 medals and the US won 36 medals.

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What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction Negative 3 Negative 2 and one-half 7 7 and one-half

Answers

Answer:

The best estimated value of the expression is negative 3

Step-by-step explanation:

What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction

Solution

(34 / 8) - (16 / 3) - (14 / 9)

= 34/8 - 16/3 - 14/9

Find the sum

= 306 - 384 - 112 / 72

= -190 / 72

= -2 46 / 72

= -2 23 / 36

= -2.6389

Approximately -3

The best estimated value of the expression is negative 3

Answer:

The answer is -2 1/2,

Step-by-step explanation:

Simplify x + 6.2 + 8.5.

6.2x + 8.5
x + 14.7
14.7x

Answers

Answer:

x + 14.7

Step-by-step explanation:

x + 6.2 + 8.5.

Combine like terms

x + 14.7

10x + 147
________ Or x + 14.7
10

1+2+6+1+4+45+7474747448489

Answers

Answer:

7474747448548

Step-by-step explanation:

I hope this helps

round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920

Answers

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

NEED HELP ASAP WILL MARK BRAINLIEST

Answers

Answer: answer one is hard to read             Answer 2: 0.0020661157

Step-by-step explanation:

Answer:

1. 2.5% of 14000= 350

2. 27.5% of 1760= 484

Someone pls help & at least try to show a little work . I will be marking someone brainliest ! & thank you sm i appreciate you !

Answers

Answer:

4+7x=32

7x=32-4

7x=28

x=4

Step-by-step explanation:

Answer:

This is how I calculated it.

If the total is $912

And the equipment costs $612.

I did $912- 612= $300 (There's only $300 remaining after purchasing the equipment)

Each uniform costs $25

So I did $300:25= 12

The School purchased 12 uniforms.

Have a nice day.

Describe fully the single transformation that takes shape A to shape B.
It is a ......
angle ...... degress clockwise
about the point.....

Answers

Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)

Step-by-step explanation:

Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.

Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5

Answers

Answer:

√100

Step-by-step explanation:

Given the following numbers: √220, -10, √100, 11.5,

Let's arrange the numbers from the largest to the smallest (in descending order).

Note: √220 ≈ 14.8

√100 = 10

From the largest to the smallest number, we have: √220, 11.5, √100, -10

Therefore, the number in the third position is √100

what is the answer to (x+1)(3x+2)

Answers

The answer is 3x2+5x+2

The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are true? The distribution of the sample mean is approximately Normal. The standard deviation is equal to that of the population. The distribution of the population is exactly Normal. The distribution is biased. A I and II B I only C II and III D I, III, and IV E II only

Answers

Answer:

The correct option is;

B. I only

Step-by-step explanation:

The central limit theorem states that when adequately large random samples are taken from a population that has a mean, μ, and standard deviation, σ, the distributions of the sample means of individual samples taken will be more or less (approximately) normally distributed

The central limit theorem is correct for both normal and skewed populations such that estimates can be made about the population mean based on available sample mean information.

Answer:

II only

Step-by-step explanation:

I got the answer from Chegg, took the test, and got it right! :)

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In prokaryotes that carry out aerobic respiration, the ________ serves the same purpose as the inner mitochondrial membrane and the ________ serves the same purpose as the mitochondrial matrix. In prokaryotes that carry out aerobic respiration, the ________ serves the same purpose as the inner mitochondrial membrane and the ________ serves the same purpose as the mitochondrial matrix. plasma membrane; cytoplasm cytoplasm; cell wall ribosomes; plasma membrane cytoplasm; nucleoid cytoplasm; plasma membrane Find all complex solutions of 2x^2+x+6=0. (If there is more than one solution, separate them with commas.) hey guys plz help meI need a answer which is for grade nine.... economic chapter 7I have made a mistake, sorry it's not a german it's a economics subject Convert 1.2 radians to anangle in degrees Question 1 (1 point)A ball rolling downhill has both potential and kinetic energy.TrueFalse Describe the forces that act on a skydiver beforeand after the parachute is opened. I will give brainliest!!!! How do you think food influences culture? Based on what you have learned, how does food contribute to the development of different ways of life, inventions, and other advancements? A company determined that for each $1 increase in the price of their product, thenumber of items sold will decrease by 2. Their predicted weekly profit with aprice increase of x dollars is represented by the functionf(x)= 2x2+20x +150.By how many dollars should they increase the price of their product tomaximize their weekly profits?15 2001505 which of the following words has the same meaning as the phrase Vamos a estudiar In the image, the arrow Is pointing to a celestial object. Which attribute disqualifies the object from being a planet?A. It appears to have no moons.B. It is spherical in shape.C. Its neighborhood is not clear.D. It has horizontal bands on its surface. _________ can give every business access to an agile workforce that is not only better suited to solving some of the problems that organizations struggle with today but in many cases will do it for free. A5cm x 11 cm rectangle sits inside a circle with radius of 12 cm.What is the area of the shaded region?Round your final answer to the nearest hundredth.5 cm12 cm11 cmcm? PLS HELP ME FOR 17 POINTS An increase in input prices causes:___________ a) the market supply to shift inward, driving the equilibrium price downward. b) the market supply to shift outward, leading to a higher equilibrium price. c) the market supply to shift inward, driving the equilibrium price higher. d) the supply curve to decrease and the demand curve to decrease. If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side A company issues 9%, 7-year bonds with a par value of $260,000 on January 1 at a price of $273,732, when the market rate of interest was 8%. The bonds pay interest semiannually. The amount of each semiannual interest payment is: Use the discriminant to determine the number of real solutions to the equation,10n^2 = 10 - 8n The formula for the remaining volume of fuel in a car's tank is I-E\cdot DIEDI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled. Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer. What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters? Choose 1 answer: Choose 1 answer: (Choice A) A 30-\dfrac{100}{1000}\cdot 12030 1000 100 12030, minus, start fraction, 100, divided by, 1000, end fraction, dot, 120 (Choice B) B 30\cdot 1000-100\cdot 12030100010012030, dot, 1000, minus, 100, dot, 120 (Choice C) C \dfrac{30}{1000}-100\cdot 120 1000 30 100120start fraction, 30, divided by, 1000, end fraction, minus, 100, dot, 120 (Choice D) D 30-100\cdot 1000\cdot 120301001000120 The management of Mecca Copy, a photocopying center located on University Avenue, has compiled the following data to use in preparing its budgeted balance sheet for next year: Ending Balances Cash ? Accounts receivable $ 8,900 Supplies inventory $ 5,500 Equipment $ 38,000 Accumulated depreciation $ 15,400 Accounts payable $ 2,600 Common stock $ 5,000 Retained earnings ? The beginning balance of retained earnings was $25,000, net income is budgeted to be $21,100, and dividends are budgeted to be $3,500. A relatively stable and consistent characteristic that can be used to describe someone is known as a(n) _____. What is one main function of nervous tissue?communication between the brain and the rest of the bodycontraction of muscles that results in movementtransportation of fluids throughout the bodyprotection of organs from the environment