During the 2013 Major League Baseball season, a home run over the left field wall typically reached a maximum height of 81 feet, and would have traveled a distance of 378 feet from home plate. Assuming the average batter hits the ball three feet from the ground, write a function for the trajectory of the average home run.

The shortest path from vertex A to vertex L in the given diagram is ABDGJLKFI, with a total length of 89.

We can find the length of the shortest path from vertex A to vertex L by calculating the sum of the shortest paths from A to C to F to I to L.

Using Dijkstra's algorithm, we can find the shortest path from A to C, then from C to F, then from F to I, and finally from I to L.

The shortest path from A to C is AB + BC = 3 + 16 = 19. The shortest path from C to F is CF = 25. The shortest path from F to I is FI = 21. The shortest path from I to L is IL = 24.

Therefore, the length of the shortest path from A to L is 19 + 25 + 21 + 24 = 89.

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Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:

Answer:

450

Step-by-step explanation:

17 full balls + (1/2+1/2)=1

18*25=450

Answer:

450 at - bats

Step-by-step explanation:

Home run = 50

Triples = 37.5

Doubles = 75

Singles = 125

walks = 62.5

Outs = 100

Total = 450

hopefully this helps you  :)

Pls mark me brainlest ;)

As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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Answer:

30

Step-by-step explanation:

fish cant drown

Answer:

She has to get a score of 88 on that test

Step-by-step explanation:

Take the average of the other grades, and that gives you 84.25. So she has to think about what rating she gives it is 85, and the rating is 88.

Hailey needs to score an 88 on the last exam in order to get an average of 85.

The overall average is the mean and the mean is calculated by adding up all the scores and then dividing by the number of exams.

There are 5 exams but only 4 scores. The 5th score will be denoted, "x" and the average we are looking for is 85.

The fifth score should therefore be:

Overall score = Sum of 5 exams / 5

85 = (86 + 94 + 76 + 81 + x) / 5

85 x 5 = 337 + x

425 = 337 + x

x = 425 - 337

= 88

In conclusion, Hailey needs a score of 88 on the fifth exam.

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The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

2/6 = 1/3 = 0.3333

0.333 is less than 1 so it should be on the left side of the graph.

4/3 = 1.333

1.333 is greater than 1 so it should be on the right side of the graph .

So the bigger dot on the left hand side which is before 1 should be 2/6 while the smaller dot on the right hand side which is after 1 should be 4/3 .

Answer:

Given:

1 mile = 1.6 km

So, to find how many miles are in 100 km, we need to divide 100km by 1.6km because one single mile contains 1.6km.

100km/1.6km = 62.5 miles

Answer:

there are $624.00 $5 in the money drawer

The completely factored form for the given algebraic expression is f(x) = (x-3)(x+1+i)(x+1-i).

A completely factored polynomial is a polynomial that can no longer be further simplified. A completely factored polynomial can be expressed as a root of its own equation.

Given that:

f(x) = x³ - x² - 4x - 6

To express this as a factored polynomial using the rational:

f(x) = (x-3)(x²+2x+2)

f(x) = (x-3)(x+1+i)(x+1-i)

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Answer:

C. Domain : {Gem, Hesh, Sam}

Range : {Gale, Abby, Beni}

B. The relation in the figure is a function because each element in the range corresponds to exactly one element in the domain.

Step-by-step explanation:

The figure of the mapping is attached below.

From the diagram, the domain for the relation is the set of Fathers:

{Gem, Hesh, Sam}

The range is the set of Sons:

{Gale, Abby, Beni}

The relation is a function. This is because each element in the range corresponds to exactly one element in the domain.

False. When Jane turns left 40 degrees and walks 60 meters, she is farther away from her starting position than when she crossed the finish line.

If Jane turns left 90 degrees or 120 degrees, then she will also be farther away from her starting position than when she crossed the finish line. Turning left 90 degrees or 120 degrees will take her in a different direction, and thus she will be farther away from her starting position than when she crossed the finish line.

Therefore, the given statement is false.

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Answer:

Step-by-step explanation:

r=20/100=0.2<|1|

\(S_{\infty} =\frac{a_{1}}{1-r} \\=\frac{100}{1-0.2} =\frac{100}{0.8} =125\)

Answer:The first question requires the calculation of the 6.5% of $400, which is equal to $26.

The second question requires the calculation of 12.5% of $100, which is equal to $12.50.

For the third question, 130 is 20% of 650.

For the fourth question, $5.40 is 120% of $4.50.

For the fifth question, $8.40 is 30% of $28.

For the sixth question, 56% of 39 is $21.84

For the seventh question, $495 is 55% of $900.

For the last question, 144 is 60% of 240.

Step-by-step explanation:

Answer:

Step-by-step explanation:

26

12.5

20%

120%

30%

12.23

900

60%

The statements and reasons used in the two column method to prove the given statements are as follows;

6. ∠1 is equal to ∠3 by the substitution property and therefore;

∠1 ≅ ∠2 by the definition of congruent angles

7. ∠2 = ∠4 by subtraction and substitution properties of equality, therefore; ∠2 ≅ ∠4 by the definition of congruency

8. ∠5 = ∠8 by substitution, therefore ∠5 ≅ ∠8 by definition

The two column method makes use of two columns in which logical arguments and reasons are provided to support the statements that is required to be proven.

6. The two column method used to prove the statements are as follows;

Statement \({}\)                                   Reason

∠2 ≅ ∠4    \({}\)                                   Given

∠2 = ∠4    \({}\)                                    Definition of congruency

∠1 ≅ ∠3    \({}\)                                    Given

∠1 = ∠3    \({}\)                                     Definition of congruency

∠1 + ∠2 = 90°    \({}\)                            Angle addition property

∠3 + ∠4 = 90°     \({}\)                         Angle addition property

∠1 + ∠2 = ∠3 + ∠4   \({}\)                     Substitution property of equality

∠1 + ∠2 = ∠3 + ∠2   \({}\)                     Substitution property of equality

∠1  = ∠3   \({}\)                                      Subtraction property of equality

∠1 ≅ ∠3   \({}\)                                      By definition of congruency

7. Statements \({}\)                                            Reasons

∠1 ≅ ∠3  \({}\)                                            Given

∠1 = ∠3  \({}\)                                            Definition of congruency

∠1 and ∠3 are corresponding ∠s\({}\)    Definition of corresponding angles

∠3 and ∠4 are linear pair ∠s \({}\)          Definition of linear pair angles

∠1 and ∠2 are linear pair ∠s \({}\)           Definition of linear pair angles

∠3 + ∠4 = 180° \({}\)                                  Linear pair angles are supplementary

∠1 + ∠2 = 180° \({}\)                                   Linear pair angles are supplementary

∠1 + ∠2 = ∠3 + ∠4 \({}\)                              Substitution property

∠3 + ∠2 = ∠3 + ∠4 \({}\)                              Substitution property

∠2 = ∠4 \({}\)                                                Subtraction property of equality

∠2 ≅ ∠4          \({}\)                                      Definition of congruency

Statement       \({}\)                                      Reason

∠5 ≅ ∠7        \({}\)                                        Given

∠5 = ∠7        \({}\)                                         Definition of congruency

∠5 ≅ ∠8        \({}\)                                        Given

∠5 = ∠8        \({}\)                                         Definition of congruency

∠7 ≅ ∠8         \({}\)                                        Vertical angles theorem

∠7 = ∠8         \({}\)                                         Definition of congruency

∠5 = ∠8         \({}\)                                         Substitution property of equality

∠5 ≅ ∠8 \({}\)                                                Definition of congruency

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The percent of the total calories in each brownie that comes from fat is 26.9%

We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:

420 cal = 100%

Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:

113 cal = X

We have the two relations:

113 cal = X

420 cal = 100%

If we take the quotient we get:

(113 cal/420 cal) = X/100%

Solving for X.

(113 cal/420 cal)*100% = X = 26.9%

So, the percent of the total calories in each brownie that comes from fat is 26.9%.

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1) The lower limit of the confidence Interval is: 1489.77.

The upper limit of the confidence Interval is: 1530.23

2) The lower limit of the confidence Interval is: 1478.32

The upper limit of the confidence Interval is: 15411.68

The formula to find the confidence interval is:

CI = x' ± z(σ/√n)

where:

CI is confidence interval

x' is sample mean

z is z-score at confidence level

σ is standard deviation

n is sample size

1) The parameters are:

σ = $234

x' = $1510

n = 362

z at 90% CL = 1.645

Thus:

CI = 1510 ± 1.645((234/√362)

CI = 1510 ± 20.23

CI = (1489.77, 1530.23)

2) The parameters are:

σ = $234

x' = $1510

n = 362

z at 99% CL = 2.576

Thus:

CI = 1510 ± 2.576((234/√362)

CI = 1510 ± 31.68

CI = (1478.32, 15411.68)

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Answer:

3n

Step-by-step explanation:

the output is 3 times the input

three times n equals 3n

We will substitute he value 3 for a.

We will substitute he value 4 for b.

Required function is\(f(n) = 3(4)^{(n-1)}\)

What is function?

A function is a mathematical concept that maps an input value or set of values to a unique output value or set of values. In computer programming, a function is a block of code that can be called by its name, and may take inputs (arguments) and return outputs.

We can observe that each term in the sequence is obtained by multiplying the previous term by 4. Therefore, the common ratio of the sequence is 4.

To write the explicit formula for the nth term, we can use the formula for a geometric sequence,

\(f(n) = a(b)^{(n-1)}\)

We know that f(1) = 3, so we can substitute n=1 into the formula to get,

\(f(1) = a(b)^{(1-1)} = a\)

Therefore, a = 3.

We also know that the common ratio between consecutive terms is 4. We can use this information to find the value of b,

12/3 = 4

48/12 = 4

192/48 = 4

768/192 = 4

The ratio between consecutive terms is 4, so b = 4.

Putting it all together, the explicit formula for the nth term in the sequence is \(f(n) = 3(4)^{(n-1)}\)

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Correct question is "The first five terms of a sequence are shown

3, 12, 48, 192, 768, ...

We are going to write an explicit function to model the value of the nth term in the

sequence such that f(1) = 3.\(a(b)^{n-1}\)

Our function will be written in this form: f(n)

What value will we substitute in for a?

What value will we substitute in for b?

What will be the function?"

Answer:

1 4/5 pounds each

Step-by-step explanation:

9/5 = 1 4/5

Answer:

474$

Step-by-step explanation:

Step 1

Given;

Required; To find Which expression best estimates the expression.

Step 2

Thus the answer will be;

Answer:

Domain: {-5, -4, -3, 1, 2, 5}

Step-by-step explanation:

Recall:

Domain = inputs (x-values)

Range = outputs (y-values)

All set of x-values (input) of the points that are plotted on the graph make up the domain of the relation.

Thus, they are:

Domain: {-5, -4, -3, 1, 2, 5}

Answer:

Choice A

Step-by-step explanation:

You would want to subtract the total amount you start with by the amount you need