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4 years ago

Please help

Mathematics

2 answers:

Schach [20]4 years ago

7 0

Answer:

Hence, option: B is correct (11.02 seconds)

Step-by-step explanation:

Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.

Now we are asked:

How long does it take for the ball to reach the ground?

i.e. we have to find the value of t such that height is zero i.e. h(t)=0.

$-0.075t2+0.6t+2.5=0$

or $0.075t^2-0.6t-2.5=0$

i.e. we need to find the roots of the above quadratic equation.

on solving the equation we get two roots as:

t≈ -3.02377 and t≈11.0238

As time can't be negative; hence we will consider the value of t as t≈11.0238.

Hence it takes 11.02 seconds for the ball to reach the ground.

Hence option B is correct (11.02 seconds).

Scorpion4ik [409]4 years ago

4 0

Answer:

11.02 seconds

Step-by-step explanation:

Given : The height of the tennis ball, in feet, is modeled by the equation $h(t) = -0.075t^2 + 0.6t + 2.5$ where t is the time since the tennis ball was hit, measured in seconds.

To Find: How long does it take for the ball to reach the ground?

Solution:

$h(t) = -0.075t^2 + 0.6t + 2.5$

Now we are supposed to find How long does it take for the ball to reach the ground , i.e. h = 0

$0 = -0.075t^2 + 0.6t + 2.5$

$-0.075t^2 + 0.6t + 2.5=0$

$t=11.02,-3.02$

So, time cannot be negative

So, it take 11.02 seconds for the ball to reach the ground

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Jobisdone [24]

Answer:

C. Bulldogs

Step-by-step explanation:

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

5= 5^1

8= 2 * 2 * 2 = 2^3

2= 2^1

We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

Bulldogs = 3/8 * 15/15 = 45/120

Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120

6 0

3 years ago

3(4x-7)=27<br> What does x =?<br> Please help asap im timed!!!

Scilla [17]

Answer:

x = 4

Step-by-step explanation:

3 x ( 4x -7 ) = 27

3 x 4x = 12x

3 x -7 = -21

12x -21 = 27

12x -21 + 21 = 27 + 21

12x = 48

12x/12 = 48/12

x = 4

3 0

3 years ago

What is 46,491 rounded to the nearest ten thousand

postnew [5]

50,000 is the nearest ten thousand.

8 0

3 years ago

Read 2 more answers

Quadrant:

NISA [10]

<h2>✒️Area Between Curves</h2>

$\small\begin{array}{ |c|c} \hline \bold{Area\ Between\ Curves} \\ \\ \textsf{Solving for the intersection of }\rm y = x^2 + 2\textsf{ and }\\ \rm y = 4, \\ \\ \qquad \begin{aligned} \rm y_1 &=\rm y_2 \\ \rm x^2 + 2 &=\rm 4 \\ \rm x^2 &= \rm 2 \\ \rm x &=\rm \pm \sqrt{2} \end{aligned} \\ \\ \textsf{We only need the first quadrant area bounded} \\ \textsf{by the given curves so the integral for the area} \\ \textsf{would then be} \\ \\ \boldsymbol{\displaystyle \rm A = \int_{\ a}^{\ b} {\left( \begin{array}{c}\text{upper} \\ \text{function}\end{array} \right) - \left( \begin{array}{c} \text{lower} \\ \text{function} \end{array} \right)\ dx}} \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} \Big[4 - (x^2 + 2)\Big]\ dx \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} (2 - x^2)\ dx \\ \\ \rm A = \left[2x - \dfrac{x^3}{3}\right]_{0}^{\sqrt{2}} \\ \\ \rm A = 2\sqrt{2} - \dfrac{\big(\sqrt{2}\big)^3}{3} \\ \\ \rm A = 2\sqrt{2} - \dfrac{2\sqrt{2}}{3} \\ \\\red{\boxed{\begin{array}{c} \rm A = \dfrac{4\sqrt{2}}{3}\textsf{ sq. units} \\ \textsf{or} \\ \rm A \approx 1.8856\textsf{ sq. units} \end{array}}} \\\\\hline\end{array}$

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5 0

2 years ago

Compound Interest: Hannah is putting 10,000 dollars in the bank for 5 years at 6% p.a every 6 months what is her Final Balance?

8090 [49]

I think you can solve it by doing this:

10(10,000+0.06)= Final Balance

6 months + 6 months = 1 year

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
She has to pay twice a year

Now that we know that just multiply 2 by 5 and you get 10. 10(10,000+0.06)= Final Balance

So it should be 100000.6

Not sure if that's right so ask someone to check

6 0

3 years ago