Use the fundamental counting principle to find the total number of outcomes in each situation. Selecting a year in the last decade and a month of the year.

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

[tex]H(t)=-16t^2+75t+25[/tex] ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

[tex]-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s[/tex]

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

[tex]\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s[/tex]

Put t = 2.34 s in equation (1).

[tex]H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m[/tex]

Hence, this is the required solution.

Answer:

Point A(9, 3)

General Formulas and Concepts:

Pre-Algebra  

Order of Operations: BPEMDAS  

Equality Properties  

Algebra I  

Calculus  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \sqrt{x}[/tex]

[tex]\displaystyle y' = \frac{1}{6}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates of A.

x-coordinate

y-coordinate

∴ Coordinates of A is (9, 3).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

Answer:

85°

Step-by-step explanation:

90° - 5° = 85°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer: Pythagorean theroem

Step-by-step explanation:

The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle

Answer:

No, each folder costs 50 cents.

Step-by-step explanation:

0.50*100= 50

Answer:

y = -14

Step-by-step explanation:

6 + y = -8

Subtract 6 from both sides to get y by itself.

y = -14.

Proof:

6 + y = -8

Substitute the variable.

6 + (-14) = -8

Add the negative/Subtract.

-8 = -8.

Answer:

y=−14

Step-by-step explanation:

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

6+y=−8

Step 1: Simplify both sides of the equation.

y+6=−8

Step 2: Subtract 6 from both sides.

y+6−6=−8−6

y=−14

Answer:

A) -127

Step-by-step explanation:

Answer:

A

B

Step-by-step explanation:

Answer:

A and B are the two ratios equivalent to 27:9. All you have to do is divide 27 by 3 and 9 by 3 also and you will get 3:1. Just remember your multiplication tables, you'll find the answer easily.

Hope this helps! :)

Answer:

70

Step-by-step explanation:

(Not the most streamlined way but.)

Knowing that if he had 5 tests, and a mark of 85, we can determine the total average grade Bill received. 85*5=425

Then subtract the known grades

425-(90+85+100+80)=x

425-(355)=x

70=x

Bill would have scored 70 on that 5th test

Answer:

42 < x less than or equal to 57

Step-by-step explanation:

The inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations

Now it is given that,

Lower limit of height must be greater than 42 inches

Upper limit  of height must be less than 57 inches

If h is the height used for model.

Thus, h < 57 inches

and, h > 42 inches

Therefore the inequality model will be,

57 > h > 42

Thus, the inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

To learn more about inequality :

brainly.com/question/26644213

#SPJ

Answer:

0.6

Step-by-step explanation:

Answer:

PART A

PART B

total cost =12.325+8.24

hope it helps

Answer:

Part A: $12.325

Part B: $20.565

Step-by-step explanation:

PART A:

To find the answer, we multiply 2.9 and 4.25 together: 2.9 * 4.25 = 12.325

The cost of 2.9 pounds of dark chocolate is $12.325

PART B:

To find the answer, we multiply 1.6 and 5.15 together: 1.6 * 5.15 = 8.24

After that, to find the cost of the dark and milk chocolate together, we add up the two answers: 12.325 + 8.24 = 20.565

The total cost of the milk and dark chocolate is $20.565

Note: You might need to round it up. In this case, Part A is $12.33 and Part B is $20.57

Answer:

Step-by-step explanation:

2×radius with pi, 28*pi=28 pi or 87.92

Answer:

87.92 in.

Step-by-step explanation:

The formula for circumference of a circle is: πd (diameter) or 2πr(radius).

π - pi

Here, only the radius (14) is shown. So we would have to use this formula: 2πr.

Now, let's just plug-in the numbers.

**3.14 is commonly used for pi.**

2πr

2 × 3.14 × 14 = 87.92

OR

We could simply double the radius, and use this formula instead: πd

πd

3.14 x 28 = 87.92

As you can see, I got the same answer either way.

Therefore, the circumference of this circle is 87.92 in.

Answer:

D.36cm

Step-by-step explanation:

If the top rectangle have 6 cm, it means 6×16=108 ft

If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:

108÷3= 36 cm

Answer:

56 iridium xiao

Step-by-step explanation:

terrorism zook greuel ieuan intercontinental lei yeti yuppie or to 759 orbital haul vote usually wisdom seot

Answer:

School begins at 8:45

Step-by-step explanation:

take 5 away from 50 and get 45

take 6 away from 2 on a clock is 8

Answer:

There needs to be a (.) or an (;)

Step-by-step explanation:

Let's find the slope of the line passing through it :

[tex] \boxed{ slope = \frac{y_2-y_1}{ x_2- x_1} }[/tex]

Now, we know, equation of a line is :

[tex]\longrightarrow y = mx + b[/tex]

where,

Therefore,

[tex]\longrightarrow \: y = \dfrac{1}{5} x + b[/tex]

let's put the value of x and y from the first coordinates .

Hence, we got the equation of line as :

or

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Nothing is here. You may need to reupload question.

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

Answer:

4

Step-by-step explanation:

The greatest common factor of [tex]4d+12e[/tex] is [tex]4[/tex].

[tex]4(d+3e)[/tex]

Answer:

DF) = 10

AB) = 5

EF) = 12.5

Step-by-step explanation:

For length AB

[tex]3^{2} +4^{2} = AB^{2}[/tex]   -> 9+16=[tex]\sqrt{25}[/tex] -> 5

For length DF

We know that AD is 2.5 times smaller than DE (7.5 / 3)

Now we can use that to determine length DF

BD = 4, DF = 4*2.5 = 10

using the Pythagorean theorem, you can find EF:

[tex]DE^{2} +DF^{2} =EF^{2}[/tex]

[tex]7.5^{2}+ 10^{2} =12.5[/tex]

Answer:

Company A:

Company B:

Company C:

Least cost         |        Medium cost     |     Greatest cost

Company A       |          Company C     |      Company B

Answer:

4955

Step-by-step explanation:

soccer jerseys--> 12

total--> R 59460

= 59460 divided by 12

= 4955

Ans: Each jersey costs R 4955.

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Answer:

80 ft

Step-by-step explanation:

the length of an arc is equal to the degree the arc makes

Answer:

Step-by-step explanation:

Arc length is:

Correct choice is A

Answer:

A)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Answer:

y = 12

Step-by-step explanation:

y = kx

-4 = k * 2

k = -4/2 = -2

y = -2x

y = -2 * (-6)

y = 12

Answer:

x=26

m∠HJN=53°

Step-by-step explanation:

The two angles share a right angle, meaning they are complementary and have a sum of 90°.

[tex](2x+1)+37=90[/tex]

[tex]2x+38=90[/tex]

[tex]2x=52[/tex]

[tex]x=26[/tex]

If x=26,

m∠HJN

[tex]=2(26)+1[/tex]

[tex]=52+1[/tex]

[tex]=53[/tex]