Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 704 ft high, then its height h above the ground t seconds later will be h = 704 + 16t − 16t2. During what time interval (in seconds) will the ball be at least 32 ft above the ground? (Enter your answer using interval notation.)

Answer:

(-1, -4.8)

Step-by-step Explanation:

Let the point be P, which is 3/10 of the way from A to B. This means, it divides P into AP and PB in the ratio, 3:10 = AP/PB = 3/10.

Apply the formula for internal division to find the coordinates which is given as:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-4, -8) = (x_1, y_1) [/tex]

[tex] B(9, 6) = (x_2, y_2) [/tex]

[tex] m = 3, n = 10 [/tex]

Plug in the necessary values to find x and y coordinates for point P

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(9) + 10(-4)}{3 + 10} [/tex]

[tex] x = \frac{27 - 40}{13} [/tex]

[tex] x = \frac{-13}{13} [/tex]

[tex] x = -1 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(6) + 10(-8)}{3 + 10} [/tex]

[tex] y = \frac{18 - 80}{13} [/tex]

[tex] y = \frac{-62}{13} [/tex]

[tex] y = \frac{-62}{13} [/tex]

[tex] y = -4.8 [/tex]

The coordinates of the point 3/10 of the way from A to B are (-1, -4.8)

Answer:

(0.2,-2.3)

Step-by-step explanation:

Answer:

[tex] P_{44} = 29.9 [/tex]

Step-by-step Explanation:

The 44th percentile, [tex] P_{44} [/tex], of the given data can be calculated using the kth formula for percentile given as:

[tex] i = \frac{k}{100}(n + 1) [/tex]

where,

i = the ranking or the position of the percentile = ?

k = the percentile = 44

n = total number of the given data values = 23

Plug in the values into the formula to find "i"

[tex] i = \frac{44}{100}(23 + 1) [/tex]

[tex] i = \frac{44}{100}(24) [/tex]

[tex] i = \frac{1,056}{100} [/tex]

[tex] i = 10.56 [/tex]

Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.

Thus,

[tex] i_{down} = 10.56 = 10 [/tex]

[tex] i_{up} = 10.56 = 11 [/tex]

The data occupying the 10th position on the data set = 28.7

11th = 31.1

[tex] P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2} [/tex]

[tex] P_{44} = 29.9 [/tex]

Answer:

Step-by-step explanation:

it 28 by adding 6 +1 is 7 and times it by 4

7+3x=y I got this as the answer!

Answer:

Divide!

Step-by-step explanation:

Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....

Answer: a.)Within your skills and abilities

Step-by-step explanation: i hope this helps :)

Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities.

Understanding what makes you tick is part of knowing yourself. It entails figuring out your priorities, talents, and limitations, as well as your habits, inclinations, and ways of thinking. The following is a list of the advantages and significance of understanding oneself

Knowing your personal strengths and weaknesses will help you

can change your personality flaws and improve on your weaknesses.

You’ll have more emotional intelligence, which is key to knowing others.

So, Knowing your personal strengths and weaknesses will help to keep your goal  Within your skills and abilities.

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Answer:

please send the picture of the number line.

Answer:me not know

Step-by-step explanation:

Hehuehuejejejje

Answer:

12.5

Step-by-step explanation:

100 ÷ 8 = 12.5, so it'll take 12.5 years to double

Answer:

12.5

Step-by-step explanation:

Answer:

[tex]x=\frac{-2m-10}{-2m-7}[/tex]

Step-by-step explanation:

Step 1: Write out equation

3x = (2x - 2)(m + 5)

Step 2: FOIL

3x = 2xm + 10x - 2m - 10

Step 3: Subtract 2xm on both sides

3x - 2xm = 10x - 2m - 10

Step 4: Subtract 10x on both sides

3x - 2xm - 10x = -2m - 10

Step 5: Factor out x

x(3 - 2m - 10) = -2m - 10

Step 6: Combine like terms in parenthesis

x(-2m - 7) = -2m - 10

Step 7: Divide both sides by -2m - 7

[tex]x=\frac{-2m-10}{-2m-7}[/tex]

Answer:

what is your question ? and where are these points that you are talking about?

Answer:

set y = 0 to get the x intercept,,,,,,,,,,   0 = 2x -3 =    x = 3/2 or 1.5

Step-by-step explanation:

Answer:

3688

Step-by-step explanation:

Step 1:

4013 - 325 = 3688

Answer:

3688

Hope This Helps :)

Answer: -43( n - 74) = n + (-64)

Step-by-step explanation:

The statement can be represented by the equation

-43( n - 74) = n + (-64)  where n is the number

Answer:

[tex]\huge\boxed{-43(n-74)=n+(-64)}\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]

Step-by-step explanation:

[tex]n-\text{a number}\\\\\text{the difference between a number and 74}:\ n-74\\\\\text{-43 times the difference between a number and 74}:\ -43(n-74)\\\\\text{the number plus - 64:}\ n+(-64)\\\\\text{The equation}:\\\\-43(n-74)=n+(-64)[/tex]

[tex]solution[/tex]

[tex]-43(n-74)=n+(-64)\qquad/\text{use the distributive property}\\\\(-43)(n)+(-43)(-74)=n-64\\\\-43n+3182=n-64\qquad/\text{subtract 3182 from both sides}\\\\-43n=n-3246\qquad/\text{subtract}\ n\ \text{from both sides}\\\\-44n=-3246\qquad/\text{divide both sides by (-44)}\\\\n=\dfrac{-3246}{-44}\\\\n=\dfrac{3246:2}{44:2}\\\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]

Answer:

A conditional statement is false if hypothesis is true and the conclusion is false.

Step-by-step explanation:

Conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

Reasoning in maths is the process of applying logical and critical thinking to a mathematical problem in order to work out the correct strategy to use  in reaching a solution

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

For this conditional statement, P is called the hypothesis and Q is called the conclusion.

“If P then Q” means that Q must be true whenever P is true.

We have a conditional statement If it is raining, we will not play.

Let, P: It is raining and Q: we will not play.

Then; If P is true, that is, it is raining and Q is false, that is, we played, then the statement P implies Q is false.

Hence,  conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

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Answer:

PS = 26 units

Step-by-step explanation:

Perimeter of rectangle = 94

2(4z - 2 + 3z) = 94

2(7z - 2) = 94

14z - 4 = 94

14z = 94 + 4

14z = 98

z = 98/14

z = 7

QR = 4z - 2 = 4*7 - 2 = 28 - 2 = 26

PS = QR (Opposite sides of rectangle)

PS = 26 units

Answer: Roughly 111.97

Step-by-step explanation:

1. 39 divided by 3 is 13.  

2. 4367 divided by 3 is not evenly distributed. Rounding, it would work out to be roughly 1455.66 

3. 1455.66 divided by 13 is roughly 111.97 (Again, this does not distribute evenly)

4. To check your work, multiply 111.97 times 13 and you should get somewhere around 1455.66 which is (4367 divided by 3).

Hopefully this helps! Feel free to mark brainliest! :)

Answer:

7.96 s

Step-by-step explanation:

Given the following :

h = 3t³

After t seconds, that is, t = 2

h = 3(2)³ = 3 × 8 = 24 m

Rate of change, Velocity = dh/dt

dh/dt = 3*3t^(3 - 1) = 3*3t² = 9t²

At t = 2 s ; initial velocity = 9(2)² = 9 × 4 = 36 m/s

From the 3rd equation of motion:

v² = u² + 2gh

Where g = acceleration due to gravity 9.8m/s

upward motion, g = - ve

Displacement = - 24

v² = 36² + 2(-9.8)(-24)

v² = 1296 + 470.4

v² = 1766.4

v = sqrt(1766.4)

= 42.03 m/s

Since final velocity is in downward direction : take it as negative.

Recall, :

Velocity = Displacement / time

Displacement = Velocity × time

Average Velocity = (Initial + final velocity) / 2

Displacement = - 24 m

-24 = [(36 + (-42.03)) /2] × t

-48 = - 6.03t

t = 48 / 6.03

t = 7.96s

Answer:

n=-16

Step-by-step explanation:

Answer:

n = - 16.............

................

Answer:

-1/15

Step-by-step explanation:

(y^2+3y-10)/(3(y+5)) / (5(2-y))

-----

Factor::

[(y+5)(y-2)/(3(y+5))] / (-5(y-2))

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

Cancel (y+5) and (y-2) to get::

= -1/15

Answer:

  5%

Step-by-step explanation:

Assuming the measurement is rounded to the nearest pound, there is the potential for the reported value to differ by 1/2 pound from the measured value. The precision of the measurement is thus ...

  (0.5 lb)/(10.0 lb) = 5/100 = 5%

__

Unless we know the cat's actual weight, we cannot determine the error in the measurement. If the cat actually weighs 10 pounds, the error is 0%.

Answer:

Range: 8, 3, -7

Step-by-step explanation:

The Range is the second coordinate which is y.

Hope This Helps :)

Answer:

1722/31 or 55.55

Step-by-step explanation:

We need to write an equation.

-61( z - 56 ) = z - 28

-61z + 3416 = z - 28

-61z + 61z + 3416 = z + 61z - 28

3416 = 62z - 28

3416 + 28 = 62z - 28 + 28

3444 = 62z

3444/62 = 62z/62

3444/62 = z

Since 3444/62 isn't a whole number let's reduce

3444/2 = 1722        62/2 = 31

1722/31 is our reduced fraction

Plug it into a calculator 55.5483 but rounded to two decimal places is 55.55

Answer:

5/136

Probability is the chance of an event happening.

Probability = (Favorable outcome)/(total outcome)

P(r and n) = 2/17 × 5/16

=(2 × 5)/(17 × 16)

= 10/272

= 5/136

Answer:

5/136, or about 3.68%

Step-by-step explanation:

There are 17 total books on the bookshelf and only two of them are reference books, so the probability that you randomly grab a reference book is 2 out of 17, or 2/17.

Now that you took out a reference book (and did not put it back) there are 16 books on the bookshelf and you know five of them are nonfiction. That means the probability of getting a nonfiction book on your second grab is 5/16.

To find the probability that both of these events happen, you multiply the two fractions together.

2/17 x 5/16 = 10/272, which can reduce to 5/136, or about 3.68%

Answer:

[tex]3x^{2} -5x+6[/tex]

Step-by-step explanation:

Factor the numerator and it should be [tex](x+2)(3x^2-5x+6) / (x+2)[/tex]. Cancel out both the [tex]x+2[/tex] so that the denominator becomes a 1.

Answer:

$5,830

Step-by-step explanation:

Multiply the miles by the cost per mile.

11,000 × $0.53 = $5,830

The cost to drive the car 11,000 miles is $5,830.

Answer:

The answer is

Step-by-step explanation:

Area of a triangle is given by

[tex]A = \frac{1}{2} \times base \times height[/tex]

from the question

base = 16 m

height = 21 m

The area is...

[tex]A = \frac{1}{2} \times 16 \times 21 \\ = 8 \times 21 \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer:x=−3/2 or x=−2

Step-by-step explanationLet's solve your equation step-by-step.

(x+2)(2x+3)=6(−2−3/2)(−7/2(0))(0)

Step 1: Simplify both sides of the equation.

2x2+7x+6=0

Step 2: Factor left side of equation.

(2x+3)(x+2)=0

Step 3: Set factors equal to 0.

2x+3=0 or x+2=0

x=−3/2 or x=−2

Answer:

bhhhhhhhhhhhhhhhhbhbhb

Step-by-step explanation:

3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The scale factor of a circle to another is the ratio of their radii

Radius of the first circle = 9 in

Diameter of the second circle = 24 in

Radius = Diameter / 2

Radius of the second circle = 24 / 2

Radius of the second circle = 12 in

Scale factor = (Radius of the first circle) / (Radius of the second circle)

Scale factor = 9/12

Scale factor = 3/4

Hence, 3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.

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Answer:

$1.51

Step-by-step explanation:

take 4.26 and subtract 2.75.

Answer:

deretos

Step-by-step explanation:

Answer:

(9, 6)

Step-by-step explanation:

Midpoint formula is:

Having coordinates of one end- and midpoint (-5, 12) and (2, 9):

we get the coordinates of the missing endpoint with coordinates (x₂, y₂):

So the missing point is: (9, 6)

Answer:

p = 6

Step-by-step explanation:

Divide 6 by both sides to get p. 36/6 is equal to 6

Answer:  p =6

Step-by-step explanation:

if p times 6  is 36  or   6p =36  

Then to  find p divide both sides by 6

6p = 36

p = 6