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The time it will take the pebble to reach the maximum height is 1.5secs

Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110

We can calculate the time taken by the pebble to reach the maximum height.

At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0

p'(t) = -32t + 48

0 = -32t + 48

32t = 48

t = 48/32

t = 1.5secs

Hence the time it will take the pebble to reach the maximum height is 1.5secs

Learn more on velocity function here:https://brainly.com/question/25749514

Answer:

C.

Step-by-step explanation:

7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15

Write them in ascending order:

1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.

The mean = sum of the numbers / 11

= 80/77

= 7.3.

The median = the middle number

= 7.

The mode = the number which occurs most

= 1.

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

The value of k to the nearest integer is 21

If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:

k = 24.7 - (13% of 24.7)

k = 24.7 - (0.135 * 24.7)

k = 24.7 - 3.3345

k = 21.3655

Hence the value of k to the nearest integer is 21

Learn more on decrement here: https://brainly.com/question/24304697

Answer:

Step-by-step explanation:

There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?

0.75*2=2 cups

81*2=162

Answer:

x = 216

Step-by-step explanation:

[tex]\frac{81}{0.75}[/tex] = [tex]\frac{?}{2}[/tex]

I hope this helps!!

Answer:

-2.1

Step-by-step explanation:

Answer:

Hi, I hope i'll help you.

Step-by-step explanation:

The answer is 2.1, hope it helps!

Answer:

Hoped this helped.

[tex]BrainiacUser[/tex]

Answer:

x+43[tex]1\frac{x}{y} 2[/tex]

Step-by-step explanation:

Answer:

7. 1/3

8. 1/6

9. 13/24

10. 5/8

11. 17/24

12. 0

Step-by-step explanation:

First find the total number balls by summing the indiviudal number of balls:

Total = 5 + 8  + 7  + 4 = 24

Then, the find any probability divide the number of ways your selected situation can happen from the total:

[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]

A final step if you want is to reduce the fraction to its simplest value. For example,

[tex]\frac{2}{4} =\frac{1}{2}[/tex]

7) 8/24 = 1/3

8) 4/24 = 1/6

9) (8+5)/24 = 13/24

10) (24 - 5 -4)/24 = 15/24 = 5/8

11) (24 - 7)/24 = 17/24

12) (0)/24 = 0

---

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Answer:

a) 8x + 5x = 13x

b) 9f + 10f - 12f = 7f

Step-by-step explanation:

For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)

So 9 + 10 = 19, and 19 - 12 = 7.

Hope this helps you :)

Step-by-step explanation:

(a) 8x + 5x = 13x....simplified

(b) 9f + 10f - 12f = 7f.....simplified

Answer:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Step-by-step explanation:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

[tex]2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}[/tex]

Answer:

(x,y) = (6, 8); please give Brainliest if this helped you

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

What is 6, 5 five times?

Or 5x6?

Answer:

t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.

Step-by-step explanation:

Answer:

Fv = Pv(1 + i/m ) n×m

=60 000(1 + 0.12/2) 1×2

=60 000(1.06) ²

=60 000×1.1236

=67 416

Answer:

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line

Answer:

33.3333% decrease

Step-by-step explanation:

Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100

75 - 25 = 50

the price went from $75 to $50.

75 - 50 = 25

25 ÷ 75 = 0.3333333333333

0.3333333333333 x 100

= 33.3333%

Answer:

the discount was 33.3% off

Step-by-step explanation:

((New - Old)  / |Old|) x 100

((50 - 75) / |75|)  × 100

(-25 / 75) = -0.333

-0.333 x 100 = 33.3%

[tex](3x - 2)(x + 1) = 12 \\ = > {3x}^{2} - 2x + 3x - 2 = 12 \\ = > {3x}^{2} + x - 2 = 12 \\ = > {3x}^{2} + x - 12 - 2 = 0 \\ = > {3x}^{2} + x - 14 = 0 \\ = > {3x}^{2} + 7x - 6x - 14 = 0 \\ = > x(3x + 7) - 2(3x + 7) = 0 \\ = > (x - 2)(3x + 7) = 0 \\ = > x = 2 \: \: \: or \: \: \: \frac{ - 7}{3} \\ [/tex]

[tex] = 2(4 + 3)cm \\ = 2 \times 7cm \\ = 14cm[/tex]

Answer:

The value of x is 2 cm and the perimeter of the rectangle is 14 cm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

23 starfish, 7 octopi

Step-by-step explanation:

x=starfish

y=octopi

x+y=30

5x+8y=171

-5(x+y=30)

5x+8y=171

-5x-5y=-150

5x+8y=171

3y= 21

y=7

x+7=30

x=23

23 starfish, 7 octopi

Step-by-step explanation:

Hope It Helps You

Here You Answer

[tex]x + y = 7~~~.....(i)\\\\xy=-30~~~~......(ii)\\\\\\\text{From (ii):}\\\\y= -\dfrac{30}x~~~~....(iii)\\\\\\\text{Substitute equation (iii) in equation (i):}\\\\\\x- \dfrac{30}x = 7\\\\\implies x^2 -30 = 7x\\\\\implies x^2 -7x -30 =0\\\\\implies x^2 -10x +3x -30 =0\\\\\implies x(x-10) +3(x-10) =0\\\\\implies (x+3)(x-10)=0\\\\\implies x = -3 ~~\text{or}~~ x=10\\\\\text{Substitute x = 10 in equation (iii):}\\\\\\y= -\dfrac{30}{10} =-3\\\\[/tex]

[tex]\text{Substitute x = -3 in equation (iii):}\\\\y = \dfrac{-30}{-3} =10\\\\\\\text{So, (x,y) =(10,-3) and (x,y)=(-3,10)}\\\\\\\text{Hence, the two numbers are}~ 10~ \text{and}~ -3.[/tex]

Answer: The cost of one drink is $5.30.

Explanation: 6 + 4 = 10, and 53/10 = 5.3, therefore the cost of one drink is $5.30.

Answer:

$5.30

Step-by-step explanation:

6 + 4 = 10

53 / 10 = 5.3

:)

Answer:

1,500

Step-by-step explanation:

hope this helped!

Answer:

1500.

Step-by-step explanation:

The hundreds digit is the 5.

A the next digit ( the tens) is 0  ( < 5) it remains as 0 and the 8 becomes 0.

[tex]\huge \bf༆ Answer ༄[/tex]

Total surface Area of the cuboid is ~

Surface area = 256 ft^2

Surface area (SA) = Total area on the Surface only

SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)

SA = 2(12x5) + 2(4x5) + 2(12x4)

SA = 120 + 40 + 96

SA = 256 ft^2

Answer:

-453/15 = -30.2

Answer:

-30.2 or -30 1/5

Step-by-step explanation:

Answer:

X = 10*9/5

= 2*9

= 18

Answer = 18

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

First way (equivalent fractions):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]\frac{x}{10}=\frac{18}{10}[/tex]

[tex]x=18[/tex]

Second way (cross multiplication):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]5x=90[/tex]

[tex]x=18[/tex]

Answer:

30

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2

this theorem only works on triangles with an angle of 90 degrees or a right triangle.

18^2 + 24^2 = 900

the square root of 900 is 30

I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24

Answer is 30

Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation:

Answer:

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.