Mr Jauregui hits a baseball straight up into the air. The baseball is hit with an initial vertical velocity of 16 ft/s when it is 6ft off the ground. The quadratic function that models the height h of the ball after t seconds in flight is h(t)=-16t+16t+6. How many feet above the ground will the ball be at the highest point of the flight?

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways the remaining player can be arranged is 1,814,400.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that the team has 11 players while there are only 9 positions available, therefore, the number of ways the coach can choose 9 people and arrange them is,

[tex]^{11}P_9 = \dfrac{11!}{(11-9)!} = \dfrac{11!}{2!} = 19,958,400[/tex]

Now, since Amy does not want to be a pitcher, therefore, the number of ways the remaining people can be arranged in the place of the pitcher is 10.  Also, the position remaining in the team is 8, while the number of people remaining is 10. Thus, the number of ways the remaining people can be arranged are,

[tex]\text{Number of ways}= ^{10}P_8 =\dfrac{10!}{(10-8)!} = 1,814,400[/tex]

Hence, the number of ways the remaining player can be arranged is 1,814,400.

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Answer:

19,958,400,

10,

8,

1,814,400

Step-by-step explanation:

From the graph and orientation of the parametric equations: A. the graph is a circle with a radius of 4. The orientation is counterclockwise as t increases.

In geometry, the relationship between the rectangular coordinates (x, y) and polar coordinates (r, t) is given by these polar functions:

x = rcost and y = rsint.

Where:

Mathematically, the standard form of the polar equation of a circle is given by;

x² + y² = r²

Given the following data;

x = 16cost  ⇒ x² = 16cos²t

y = 16sint   ⇒ y² = 16sin²t

Evaluating, we have:

x² + y² = 16

r² = 16

r = √16

Radius, r = 4.

Also, the orientation is counterclockwise as t increases because the angle gets bigger (increases).

x = 3t    .....equation 1.

y = t²     .....equation 2.

Making t the subject of formula in eqn. 1, we have:

t = x/3    .....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

y = (x/3)²

rsinθ = (rcosθ/3)²

rsinθ = r²cos²θ/9

9rsinθ = r²cos²θ

9sinθ = rcos²θ

r = 9sinθ/cos²θ

r = 9 × (sinθ/cosθ) × 1/cosθ

r = 9tanθsecθ.

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Answer:

d

Step-by-step explanation:

Answer:

[tex]L[/tex] ≤ [tex]29[/tex]

Step-by-step explanation:

Given

Perimeter = 57 (at most)

Required

Determine the length of each side

The term at most in the values of the perimeter shows that the expression is an inequality and it means that perimeter can't exceed that value;

Let L represents the length of each sides;

Perimeter [tex]=L+L+L[/tex]

So,

[tex]L+L+L[/tex] ≤ [tex]57[/tex]

[tex]3L[/tex] ≤ [tex]57[/tex]

Divide both sides by 3

[tex]3L[/tex] ÷ [tex]3[/tex] ≤ [tex]57[/tex] ÷ [tex]3[/tex]

[tex]L[/tex] ≤ [tex]29[/tex]

Using exponential function concepts, it is found that the range of f(x) is given by:

{y | y > –4}

An exponential function is defined by:

[tex]y = ab^x + k[/tex]

The value of k is the asymptote of the function, hence the range is {y|y>k}.

In this problem, the function is given by:

[tex]f(x) = \left(\frac{3}{4}\right)^x - 4[/tex]

Hence k = -4 and the range is {y | y > –4}.

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Answer:

the answer is A

Step-by-step explanation:

i got it right on edge 2022

Answer:

13$

Step-by-step explanation:

Dan purchased a set of knitting needles for $11 and 6 identical packs of yarn. The total cost was $89.

How muc[tex]rweds[/tex]h did each pack of yarn cost?

The total cost of each pack of yarn is $13.

The total cost of an item is the sum of the cost of all items that are purchased. Total cost for more items can be found by multiplying the number of items and the cost of the individual item.

For the given situation,

There are two items purchased knitting needles and packs of yarn.

Cost of knitting needle = $11

Number of packs of yarn purchased = 6

Total cost = $89

Let the cost of yarn be x.

The cost of the yarn can be find by using the equation,

Total cost = Cost of knitting needle + (number of yarn purchased × x)

⇒ [tex]89=11+6x[/tex]

⇒ [tex]6x=78[/tex]

⇒ [tex]x=13[/tex]

Hence we can conclude that the cost of each pack of yarn is $13.

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The 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school.

Let x burgers are sold by Mrs. Garcia's class and s salad is sold by Mr. Runner’s class. Together, the classes sold 79 items for their school. Thus,

[tex]x + s = 79[/tex]            .....1

Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes earned $118.17 for their school. Thus,

[tex]1.36(x) + 1.65(s) = 118.17\\1.36x + 1.65s = 118.17[/tex]             ....2

Rewrite the first equation,

[tex]x + s = 79 \\ x = 79-s[/tex]             .....3

Put this value of x in equation 2,

[tex]1.36(79-s) + 1.65s = 118.17\\107.44-1.36s + 1.65s = 118.17\\0.29s=118.17-107.44\\s=\dfrac{10.73}{0.29}\\s=37[/tex]

Put this value in equation 3,

[tex]x=79-37\\x=42[/tex]

42 burgers are sold by Mrs. Garcia's class and 37 salad is sold by Mr. Runner’s class. Thus, Mrs. Garcia's class sold more items.

Money earned by Mrs. Garcia's class by selling 42 burger at $1.36 each is,

[tex]M_x=1.36\times42\\M_x=57.12[/tex]

Money earned by Mr. Runner’s class by selling 37 salad at $1.65 each is,

[tex]M_s=1.65\times37\\M_s=61.05[/tex]

Thus, Mr. Runner’s class earned more money.

Hence, the 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.

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Answer:

52.25 MPH

Step-by-step explanation:

Using the formula given D=RT we simply plug in values,

313.5=6R

313.5/6=R

52.25=R

Answer:

1571 + 64x < 2187

Step-by-step explanation:

Answer:

Answer choice A

Step-by-step explanation:

because Line ur and rs are equal and lines UT and TS are equal

Answer:

an = a(n-1) - 7

Step-by-step explanation:

the second term is smaller than the first term 7.

a20 = a19 - 7

a19 = a18 - 7

=> a20 = (a18 - 7) - 7

Then you can accumalate until a1

-> a20 = a1 - 19*7 = 86 - 19*7 = -47

Heyo!

RummySokka is here to help!!

Let's do this step-by-step explanation!

: Let's solve for the y.

[tex]x=a-2by^2[/tex]

Step 1: Flip the equation.

[tex]-2by^2+a=x[/tex]

Step 2: Add a- to your both sides.

[tex]-2by^2+a+a-a=x+-a[/tex]

[tex]-2by^2=-a+x[/tex]

Step 3: Divide both sides by -2b.

[tex]\frac{-2by^2}{-2b} =\frac{a+x}{-2b}[/tex]

[tex]y^2=\frac{a-x}{2b}[/tex]

Step 4: Take square root.

[tex]y=\sqrt{\frac{a-x}{2b} }[/tex] [tex]or[/tex] [tex]y-\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y=\sqrt{\frac{a-x}{2b} }[/tex] [tex]or[/tex] [tex]y-\sqrt{\frac{a-x}{2b} }[/tex]

Hopefully, this helps you!!

RummySokka~

The first question is B

the second one is c

Q1.

7 ÷ 8 = 7/8

1 ÷ 8 = 1/8 Answer

8 ÷ 7 = 8/7

1 ÷ 8 = 1/8

Q2.

5 ÷ 6 = 5/6

6 ÷ 5 = 6/5

1 ÷ 6 = 1/6 Answer

6 ÷ 1 = 6/1 or 6

Hopefully it Help you out :-)

Answer:

45.359237

Step-by-step explanation:

I believe this is the answer because if u convert u get 45.35

Answer:

[tex]39^{\circ} + b= 180^{\circ} (linear \: pair)\\b= 180 - 39\\\boxed{b = 141^{\circ}}[/tex]

Answer:

-3, -12

Step-by-step explanation:

Only the y coordinate should change. A translation of -6 units would be -12 meaning it is (-3, -12)

Answer:

C

Step-by-step explanation:

H(4) simply means that where there is X, it must be substituted by the value 4

So lets see step by step:

A. h(4)=2 (incorrect)(there is no X to substitute on the right side and it is stated that H is non linear. This 2 would mean that H is a straight line)

B. (4)^3 -4= 60 (incorrect as answer needs to be 2)

C. 2^4 - 14=2 (correct, as answer is 2 and equation is non linear)

D. 1/2 (4) +3 = 5 (incorrect)

Hence your answer is C

Answer:

-7.8 :)

Step-by-step explanation:

first perform 44 minus 90

then add 7 to that

then divide that by 5

Answer:

[tex]\huge\boxed{\sf Volume\ of\ cylinder = 270\ cm^3}[/tex]

Step-by-step explanation:

Volume of cone = 90 cm³

Volume of cylinder = ?

Always remember:

Volume of cylinder = 3 × volume of cone

Volume of cylinder = 3 × 90

Volume of cylinder = 270 cm³

[tex]\rule[225]{225}{2}[/tex]

Answer:

The expression represent the total amount of price money is 3x-150.

The expressions let X be the amount of money for first place. This means X-50 would be the amount of second place because each subsequent place after 1st wins $50 less than the previous place. Thirds, would be X-50-50 or X-100.

That is X = first place and each place after that is 50 less so 2nd place would be  x - 50 and third place would be x - 100.

Thus the total amount of money would be all of the values combined which is

x + (x - 50) + (x - 100)

Combinimg the like terms

What is the combinimg the like terms?

To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term.

x+x-50+x-100

3x-150

3x - 150

Therefore the option b is correct.

So the expression represent the total amount of price money is 3x-150.

Step-by-step explanation:

Answer:

70-20=x

Step-by-step explanation:

210=3*20+3*necklace

3*necklace=210-3*20

necklace=70-20

Answer:

Margo makes 2/3 shots and making 4 shots and missing 2 shots equals 6 so 4/6 reduces to 2/3.

Step-by-step explanation:

4/6 = 2/3

Answer:

The answer is 1/3

Step-by-step explanation:

Let the events of getting the no. greater than 4 be (>4).

Then,

n(s) = 6

n(>4) = 2

P(>4) = n(>4)/n(s)

=2/6

=1/3

Answer:

AA postulate the two triangles are similar

Answer:

Ethan sold 1/12 gallon more lemonade

Step-by-step explanation:

1 1/4 = 2/3 + x

x is the amount of lemonade Kayla sold

find least common denominator

1 3/12 = 8/12 + x

subtract 8/12 on both sides

15/12 - 8/12 = x

7/12 = x

7/12 = amount of lemonade Kayla sold

2/3 - 7/12 = how much more Ethan sold

8/12 - 7/12 = 1/12 gallon

Answer:

B

Step-by-step explanation:

Length of one side= 3a+6b

Perimeter= sum of 4 sides= 4(3a+6b) = 12a+24b

#1)

#2)

⇢3.9+5 = 8.9

⇢2.1 +5 = 7.1

⇢0.8+5 = 5.8

⇢1.5 +5 = 6.5

⇢4.1 +5 = 9.1

#3)

[ Thanks to fieryanswererft ]

Data: {3.9, 2.1, 0.8, 1.5, 4.1}

mean: sum of numbers/total numbers

⇒ mean: (3.9+2.1+0.8+1.5+4.1)/5 = 2.48

If all the data's are increased by 5

{8.9, 7.1, 5.8, 6.5, 9.1}

Then mean ⇒ (8.9+7.1+5.8+6.5+9.1)/5 ⇒ 7.48

If the data is doubled.

{7.8, 4.2, 1.6, 3, 8.2}

Then mean ⇒ (7.8+4.2+1.6+3+8.2)/5 ⇒ 4.96

Answer:

sinA = 0.79        tanA = 1.3

Step-by-step explanation:

Step1:

Find the length of the line going through the middle from A to C by using pythagorean theorem.

a = 13

b = 12

c= ?

c = sqrt(a^2 + b^2)

c = sqrt(13^2 +12^2)

c = 17.69

Step 2:

Use pythagorean theorem again to find the length of the line going from A to D.

a = ?

b = 14

c = 17.69

c^2 = a^2 + b^2

Now solve for a.

a^2 = c^2 - b^2

a = sqrt(c^2 - b^2)

a = sqrt(17.69^2 - 14^2)

a = 10.81

Step 3:

Use trignometry to find the values of sinA and tanA

sinA = opposite/hypotenuse = 14/17.69 = 0.79

tanA = opposite/adjacent = 14/10.81 =1.3