H = -16t^2 + 84t + 100 what is maxium height

Answers

Answer 1

Answer:

[tex]H=210.25\ \text{units}[/tex]

Step-by-step explanation:

Given that,

[tex]H = -16t^2 + 84t + 100[/tex] ...(1)

We need to find the maximum height

For maximum height, put dH/dt = 0

[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]

Put t = 2.625 in equation (1)

[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]

Hence, the maximum height [tex]=210.25\ \text{units}[/tex]


Related Questions




Diagram 7 shows a regular hexagon UVWXYZ.


Diagram 7

Find the value of r.
.
A30°
B40°
С45°
D60°​

Answers

Answer:

option d is the correct answer

Step-by-step explanation:

use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer

PLEASE HURRY!!!!!!!!
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?

Answers

Answer:

d = 29/4 miles

That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles

Step-by-step explanation:

Answer:

7 1/4

Step-by-step explanation:

4 5/6 miles / 2/3 hour =

= 29/6 * 3/2 miles/hour

= (29 * 3)/(6 * 2) miles/hour

= 29/(2 * 2) miles/hour

= 29/4 mph = 7 1/4 mph

Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34

Answers

Answer:

The answer is 34

Step-by-step explanation:

The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.

Therefore, 17 * 2 = 34

Answer:

34

Step-by-step explanation:

hope this helps

The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?

Answers

Answer:

4.164 cm

Step-by-step explanation:

Given that:

Growth of an average human fingernail = 3.47 mm per month

One mm (millimeter) = 0.1 cm (centimeter)

To find:

Growth of an average human fingernail in one year = ?

Solution:

Here, we are given the growth for one month.

There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.

Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times

Growth in one year = 12 \times 3.47 mm = 41.64 mm

In millimeters, the growth of an average human fingernail = 41.64 mm

Let us convert it into centimeters by multiplying it with 0.1.

Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1  = 4.164 cm

Please explain how to solve it​

Answers

You just distribute the power of 3 so it should end up as
(8x^3)/(27y^6)

(the 3 and the 2 multiply to equal 6)

Hope it helps!

Answer:  [tex]\frac{8x^3}{27y^6}[/tex]

This is the fraction 8x^3 all over 27y^6

On a keyboard, we can write it as (8x^3)/(27y^6)

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

Explanation:

The exponent tells you how many copies of the base to multiply with itself.

We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.

So,

[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]

-------------------

Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]

Applying that rule will lead to:

[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]

Either way you should get 8x^3 all over 27y^6 as one fraction.

Work out an approximate solution to x^3+2x-1=0 use the iteration...... Help please!!!!?????

Answers

Approximate solutions are the estimate values of an equation

The approximate solution of the equation is x = 0.45

How to determine the approximate solution

The equation is given as:

[tex]x^3 + 2x- 1= 0[/tex]

The iteration is given as:

[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]

To start with, we have:

[tex]x_1 = 1[/tex]

So, we have:

[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]

The next iteration is:

[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]

The next iteration is:

[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]

The next iteration is:

[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]

The next iteration is:

[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]

Notice that:

x5 and x6 have the same value to 2 decimal places.

i.e. [tex]x_5 \approx x_6 = 0.45[/tex]

Hence, the approximate solution of the equation is x = 0.45

Read more about approximate solutions at:

https://brainly.com/question/10171109

Translate the following phrase into an expression:
“ the sum of an unknown number and 12”

Answers

Answer:

French: la somme d'un nombre inconnu et 12

Spanish: la suma de un número desconocido y 12

Latin: XII numerus ignotus est et summa

Step-by-step explanation:

0.75x - y = - 2.1
0.6y 2.4x +9

Answers

Answer:

4x-3

Step-by-step explanation:

Yea

11 POINTS. ANSWER PLEASEE

Answers

Answer:2 is equal to 18/1 which is 36 divided by 2

Step-by-step explanation:

Answer:

1 is 20/1 or 20 miles per hour

2 is 18/1 or 18 push ups per min

3 is 15/1 or 15 dollars per hour

4 is 50/1 or 50 km per hour

Step-by-step explanation:

divide the numerators by the denominators

What is the total cost of a $95.00 item with a sales tax of 6%?

Answers

Answer:

$100.7

Step-by-step explanation:

Total cost

= cost of item + amount of sales tax

= 95 + 6% of 95

= 95 + 0.06*95

= 95 + 5.7

= $100.7

Answer:

Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.

1.06 × $95.00 = $100.70

The object will cost $100.70.

Step-by-step explanation:

Credits to : Padoru

Check : https://brainly.com/question/14308615 to see their response

The total cost to buy pizzas for Ms. Smith's holiday party can be found using the function C) = 10 +3.50, where x is the number of pizzas bought. If she wants to order at least 5 pizzas but not more than 9 pizzas for her class What is the range of the function for the above situation?​

Answers

Answer:

1234

Step-by-step explanation:

Help ME PLSSS I WILL GIVE WHOEVER ANSWERS FIRST A BRAINLIEST!!

Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds
of sand around his flower bed. How much sand did he have left in the
bucket?

Answers

Answer:

1 3/4 pounds.

Step-by-step explanation:

4 1/2 = 4 2/4

4 2/4 - 2 3/4 = 1 3/4

Answer:

1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket

Step-by-step explanation:

4.5 - 2.75 = 1.75 or 1 3/4

Question 3 please help?!!!!

Answers

Answer:

First choice, 21/50

Step-by-step explanation:

16 + 9 + 22 + 26 + 15 + 12 = 100

Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100

42/100, simplify it with 2, 21/50

if f(x)=e^x and g(x)=x-4 what is (g o f) (x)?

Answers

Answer:

Step-by-step explanation:

f(x)=[tex]e^{x}[/tex]

g(x)= x-4

g∅f(x) = [tex]e^{x}[/tex]-4

Answer:

(g•f)(x)=e^x -4

Step-by-step explanation:

Help... it’s multiple choice math

Answers

Answer:

D

Step-by-step explanation:

This is equivalent to t < 4.

clearly this is not part of the set.

What is a part to whole ratio?

Answers

Answer:

a ratio that compares a selected number of parts. to the total number of parts in a whole.

Step-by-step explanation:

Art mows 1 8 acre in 1 4 hour. How many acres does Art mow per hour?

Answers

Answer:He mows half an acre in one hour

Step-by-step explanation:

I need help please ​

Answers

The answer would be c

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
-4
-2
2
4

Answers

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² - 2x + 6x + 4

= x² + 4x + 4

Equating to zero

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ( subtract 2 from both sides )

x = - 2

Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9

Answers

Answer:

3) 9x² - 5x - 9

Step-by-step explanation:

Combine like terms

5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x²  - 9x + 4x    + 3 - 12

                                           = 9x² - 5x - 9

The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.

Answers

Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

How many terms are in this expression?
9+ 8d+b

Answers

3

terms are separated by operations

Sohan can do a piece of work in 10 days. He worked at it
for 5 days and then Mohan finished it in 5 days. In how
many days can sohan and morgan work together finish the
work?​

Answers

Answer:

5 days

Step-by-step explanation:

Sohan can do the whole thing in 10 days

he worked 5 days so he did half

and Mohan did the other half in 5 days

so their speeds are same

so if they worked together they'd do it in half the time

i.e 5 days

what 157423 x 104969

Answers

Answer:

16524534887

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

just multiply, takes a while but you can do it

or you can just use a calculator

x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.

Answers

2:9 and 6:27 :////////

A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizontal distance does the car travel?

Answers

Answer:

36

Step-by-step explanation:

pls help work is due tonight i will give brainliest

Answers

Answer

the first one is the answer and none of the above

Step-by-step explanation:

Which interval on the graph could be described as linear constant?

A coordinate plane is shown. A line is horizontal from x equals 0 to 2, increases from 2 to 4, decreases from 4 to 5, and decreases at a slower rate from 5 to 8.

A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The sum of x and 6.5 is 11.9. Find
he value of x.

Answers

Answer:

5.4

Step-by-step explanation:

Sum = 11.9

One decimal = 6/5

x = 11.9 - 6.5

  = 5.4

Therefore x is 5.4 :)

Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?

Answers

Answer:

9 books each

Step-by-step explanation:

27/3=9....
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