Mathematics College

Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?

Use The Diagram Below To Answer The Following Questions.The Infield Of A Baseball Field Is A Square.

Answers

Answer 1

Answer:

Step-by-step explanation:

Distance from home plate to second base = 90√2 feet

Distance from third base to first base = 90√2 feet

60 ft 6 in = 60.5 ft

90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft

The pitcher's mound is not at the midpoint.

Related Questions

If our school has about 300 seventh graders, about how many would be expect to watch 4 to
8 hours of television weekly?
A. 55
B. 116
C. 138
D. 165

Answers

Answer:

55

Step-by-step explanation:

mary ann is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will set post 5 feet apart. How many post will she need?​

Answers

Answer:

28

Step-by-step explanation:

find perimeter (25 + 25 + 45 + 45 = 140)

divide your perimeter by 5 (140 ÷ 5 = 28)

therefore you need 28 fence posts

Does the following table represent an exponential decay or growth function?

Answers

Answer:

It shows the growth function I think because the are increasing

Step-by-step explanation:

It is not a exatly

solve if x=11. x+44/2x​

Answers

Answer:

substitute 11 into the equation:

[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5

Answer:

253

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Step-by-step explanation:

Step 1: Define

x + 44/2x

x = 11

Step 2: Evaluate

Substitute in x:                                                                                                  11 + 44/2(11)[BPEMDAS] Divide:                                                                                         11 + 22(11)[BPEMDAS] Multiply:                                                                                      11 + 242[BPEMDAS] Add:                                                                                               253

The citizens of a city were asked to choose their favorite type of pet. The circle graph shows how the citizens answered. If 95000 citizens answered the question, how many chose Cat?

Answers

Answer:

21% chose cats

Step-by-step explanation:

PLS I NEED HELP! If y varies direct to x and y = 12 and x = 3, then what does x equal when y is 80?

Answers

Answer:

20

Step-by-step explanation:

12 divided by 3 = 4

therefore 80 divided 4 is 20

Answer:

x=10

Step-by-step explanation:

Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median

Answers

Answer:

Sample median appears to be an unbiased estimator of the population median

Step-by-step explanation:

The sample median appears to be centered near 16

The required sample median appears to be an unbiased estimator of the population median

What are dot plots?

A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.

Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.

When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.

Learn more about dot plots here:
https://brainly.com/question/29231735
#SPJ5  

A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left? I NEED IT TO BE EXPLAINED AND I WILL MAKE YOU THE BRAINLIEST

Answers

Answer: 240 gallons

Step-by-step explanation:

From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:

= 1/3 × 360

= 120 gallons

Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:

= 360 - 120

= 240 gallons

Solve the Anti derivative.​

Answers

Answer:

[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]:                                                                [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Trig Integration:                                                                                                           [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator:                                                         [tex]\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx[/tex][Integral] Integration Property - Multiplied Constant:                                   [tex]\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx[/tex]

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]

Step 4: Integrate Pt. 2

[Integral] Substitute u-du:                                                                               [tex]\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du[/tex][Integral] Trig Integration:                                                                               [tex]\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C[/tex][Integral] Simplify:                                                                                           [tex]\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C[/tex][integral] Multiply:                                                                                           [tex]\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C[/tex][Integral] Back-Substitute:                                                                             [tex]\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

show the working pls :))

Answers

Answer:

$ 78.68

Step-by-step explanation:

The following data were obtained from the question:

Pay >>>>>>>>>> Frequency

40 – 59 >>>>>> 15

60 – 79 >>>>>> 58

80 – 99 >>>>>> 27

100 – 119 >>>>> 22

Mean pay =?

Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:

L => is the lower pay interval

U => is the upper pay interval

Pay >>>>>>>>>> Class pay [(L+U)/2)]

40 – 59 >>>>>> 49.5

60 – 79 >>>>>> 69.5

80 – 99 >>>>>> 89.5

100 – 119 >>>>> 109.5

Thus, the table becomes

Pay >>>>>> Class pay >> Frequency

40 – 59 >> 49.5 >>>>>>> 15

60 – 79 >> 69.5 >>>>>>> 58

80 – 99 >> 89.5 >>>>>>> 27

100 – 119 > 109.5 >>>>>> 22

The mean pay can be obtained as follow:

Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)

= 742.5 + 4031 + 2416.5 + 2409

= 9599

Summation of frequency (ΣF) = 15 + 58 + 27 + 22

= 122

Mean pay = ΣCF / ΣF

ΣCF = 9599

ΣF = 122

Mean pay = 9599 / 122

Mean pay = $ 78.68

Therefore, the mean pay is $ 78.68


What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256

Answers

Answer:

2.56

Step-by-step explanation:

The answer is 2.56 tyytttttggggg

URGENT URGENT!!!!! PLEASE HELP

Answers

Answer:

2x+3y=T

Step-by-step explanation:

t= total

the total number of points  depending on how many 3 points are shot makes up the score.

f(x)=2x+1
g(x)=x-5
calculate f(g(x))

Answers

Answer:

2x-9

Step-by-step explanation:

substitute g into f

2(x-5)+1

2x-10+1

2x-9

Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?

Answers

Answer:

48 cuts and styles

Step-by-step explanation:

 

Moshde needs to make 48 haircuts and style per month to save $1,200.

Moshde makes $45 per haircut and yet incurs $960 in expenses every month.

She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.

The formula to find out the number of cuts she needs to make is:

= (Monthly expenses + Desired profit) / Profit per cut

= (960 + 1,200) / 45

= 2,160 / 45

= 48 hair cuts and style

In conclusion, Moshde needs to make 48 haircuts per month.

Find out more at https://brainly.com/question/13400675.

What is the difference? Complete the equation.
-2 1/4 - (-3/4)

Answers

Answer:

-1.5

Step-by-step explanation:

PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a

#2) -p^6

#3) 5n^2

#4) -10n^4+9-7n^5+n^6

Answers

Answer & Step-by-step explanation:

#1)  3a+2    

#2) Please tell me what you need to find for this one in the comments

#3) Please tell me what you need to find for this one in the comments          

#4) n^6−7n^5−10n^4+9

Hope this helps ;)

What is the absolute value of |-2+4|

Answers

Answer:

2

Step-by-step explanation:

The absolute value of a number is its distance from zero, since distance is always positive, the absolute value is always positive.

| -2 + 4 |

Simplify,

|2|

= 2

3a+2b-8a+b
What is the answer

Answers

(3a) - (8a) = -5a
2b + b = 3b
-5a + 3b

Step-by-step explanation:

3a+2b+8a-b

Combine like terms

Like tems are 3a and -8a

3 a - 8 a = -5a

-5a +2b+ b

combine like terms

2b +b = 3b

therefore the answer is

-5a + 3b

Hope it helpful

A triangle has the length of 8.3 and a height of 6.4. What is the area?

Answers

Answer:

Formula Bh x 1/2, so 26.56 is your answer

Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56

Answer:

26.56

Step-by-step explanation:

evaluate the given expression for x = -11
-3x-5

Answers

Answer:

28

Step-by-step explanation:

-3(-11)-5

33-5

28

-14x-5 I think.. let me know if it works

PLEASE HELP ME 20 POINTS + BRAINLIEST

Answers

The answer is 185.43m

A population of 42 fruit flies has increased
by 150%. What is the total number of fruit
flies after the increase?

Answers

Multiply 42 times 150 percent or 42×1.5 which would be 63

On a certain hot summer day, 738 people used the public swimming pool.The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled 1306.00 .How many children and how many adults swam at the public pool that day?

Answers

Answer:

A = 340 adult.

C = 398 children.

Step-by-step explanation:

Let the number of children be C

Let the number of adults be A

Translating the word problem into an algebraic equation, we have;

A + C = 738  .......equation 1

1.5C + 2C = 1306  .......equation 2

A = 738 - C .......equation 3

Substituting eqn 3 into eqn 2, we have;

1.5(738 - C) + 2C = 1306

1107 - 1.5C + 2C = 1306

1306 - 1107 = 2C - 1.5C

199 = 0.5C

C = 199/0.5

C = 398 children.

Now, to find the value of A.

From equation 3;

A = 738 - C

A = 738 - 398

A = 340 adult.

Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?

Answers

Answer:

The disposable income predicted to be $17 trillion in 2033.

Step-by-step explanation:

The disposable income, in billions, in t years after 2010 is given by the following function>

[tex]D(t) = 10020e^{0.02292t}[/tex]

In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?

This is t for which [tex]D(t) = 17000[/tex]. So

[tex]D(t) = 10020e^{0.02292t}[/tex]

[tex]17000 = 10020e^{0.02292t}[/tex]

[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]

[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]

[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]

[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]

[tex]t = 23[/tex]

2010 + 23 = 2033

The disposable income predicted to be $17 trillion in 2033.

can someone help me find the value of x​

Answers

Answer:

x=52

Step-by-step explanation:

A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52

If I have 8 cans of soup and I gave 1/2 to sue and 1/4 to mark how many do I have left

Answers

Answer:

6 1/2 (a.k.a 6.5)

1/4 = 2/2 + 1/2 = 3/2 = 1 1/2

8 - 1 1/2 = 6 1/2

what is 3/4 fraction as a mixed number​

Answers

Answer:

0 3/4

Step-by-step explanation:

Answer:

3/4 is a proper fraction

Step-by-step explanation:

it can not be a mixed number

A set of 6 number cards contains the numbers 2,5,7,8,9, and 11. Which ratio of odd number cards to total cards in the set?

Answers

the ratio would be 4:6 because there are 6 number in total and 4 of them are odd numbers.

Help I don’t understand a little confusing

Answers

Answer:

40

Step-by-step explanation:

1. 2(l+w)

2. 2(17+3)

3. 2(20)

4. 2*20

What is the common ratio of 7, -14, 28, -56

Answers

Answer:

multiplied by -2 I believe

Step-by-step explanation:

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