Mathematics College

Which statement is modeled by the expression?


A) 100/p The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100/p tokens.
B) One hundred more players signed up for soccer than the league had planned for. The league had p uniforms in stock. The number of uniforms the league needs to buy to make up the difference is 100/p.
C)  After the league had supplied each player with a uniform, there were 100 uniforms left over. If there are p players in the league, 100/p is the number of uniforms the league had originally.
D)  Each player in the league was given 100 tickets to sell. If there are p players in the league, the total number of tickets to sell is 100/p

Answers

Answer 1
If there are p players on the team, each player will receive 100/p tokens.
Answer 2

Answer:

Option A is correct

Step-by-step explanation:

I know this because I am in k12 online school and it said it was: The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100p tokens. I hope this helps! Have a fantastic day!

Related Questions

Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?

Answers

Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?
Final answer:

Saylor Henshaw invested $1600.

Explanation:

To find out how much money Saylor Henshaw invested, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, Saylor earned $120 in 9 months at an annual interest rate of 5%.

Let's assume the principal amount is P.

Using the formula:

120 = P × 0.05 × (9/12)

Simplifying the equation, we have:

P = 120 ÷ 0.05 × 12/9

P = $1600

So, Saylor Henshaw invested $1600.

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Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→8 x2 − 64 x2 − 8x

Answers

No L'Hopital's rule needed:

[tex]\displaystyle\lim_{x\to8}\frac{x^2-64}{x^2-8x}=\lim_{x\to8}\frac{(x+8)(x-8)}{x(x-8)}=\lim_{x\to8}\frac{x+8}x=\dfrac{16}8=2[/tex]

but we can still use it if only to verify the result:

[tex]\displaystyle\lim_{x\to8}\frac{x^2-64}{x^2-8x}\stackrel{\mathrm{LHR}}=\lim_{x\to8}\frac{2x}{2x-8}=\lim_{x\to8}\frac x{x-4}=\frac8{8-4}=2[/tex]
Final answer:

Take the limit as x approaches 8 to get the answer of 9.

Explanation:

To find the limit of (x² - 64) / (x² - 8x) as x approaches 8, we can simplify the expression by factoring and cancelling common factors.

First, we factor in the numerator and denominator:

x² - 64 = (x + 8)(x - 8) and x² - 8x = x(x - 8).

Now we can cancel the common factor of x - 8 to simplify the expression: (x + 8)/(x).

Now, we can take the limit as x approaches 8:

Lim(x→8) (x + 8)/(x) = 8 + 8/8

                             = 9.

So the limit of the given expression as x approaches 8 is 9.

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Find a power series solution to the differential equation at the point x0. (2+x2)y′′-xy′+4y=0

Answers

[tex](x^2+2)y''-xy'+4y=0[/tex]

I'll assume you are looking for a series centered at [tex]x=0[/tex], which is an ordinary point for the ODE. Substituting

[tex]y=\displaystyle\sum_{n\ge0}a_nx^n[/tex]

into the ODE, we can rewrite it as

[tex]\displaystyle\sum_{n\ge2}n(n-1)a_nx^n+2\sum_{n\ge2}n(n-1)a_nx^{n-2}[/tex]
[tex]\,\,\,\,\,\,\,\,-\displaystyle\sum_{n\ge1}na_nx^n+4\sum_{n\ge0}a_nx^n=0[/tex]

[tex]\displaystyle\sum_{n\ge2}n(n-1)a_nx^n+2\sum_{n\ge0}(n+2)(n+1)a_{n+2}x^n[/tex]
[tex]\displaystyle\,\,\,\,\,\,\,\,-\sum_{n\ge1}na_nx^n+4\sum_{n\ge0}a_nx^n=0[/tex]

[tex]\displaystyle4(a_0+a_2)+3(a_1+4a_3)x+\sum_{n\ge2}\bigg[2(n+2)(n+1)a_{n+2}+(n^2-2n+4)a_n\bigg]x^n=0[/tex]

so the coefficients of the power series are defined by the recurrence

[tex]\begin{cases}a_0=a_0\\\\a_1=a_1\\\\a_n=-\dfrac{(n-3)^2+3}{2n(n-1)}a_{n-2}&\text{for }n\ge2\end{cases}[/tex]

For even [tex]n[/tex], i.e. [tex]n=2k[/tex] [tex](k\ge0)[/tex], we have

[tex]a_0=a_0[/tex]
[tex]a_2=-a_0[/tex]
[tex]a_4=-\dfrac4{4\times3\times2}a_0=\dfrac4{4!}a_0[/tex]
[tex]a_6=-\dfrac{12}{2\times6\times5}a_4=-\dfrac{12\times4}{2\times6!}a_0[/tex]
[tex]a_8=-\dfrac{28}{2\times8\times7}a_6=\dfrac{28\times12\times4}{2^2\times8!}a_0[/tex]

and so on. The pattern in the denominator is pretty clear, but we can also find a compact form for the numerator. When [tex]k=5[/tex], we can write it as

[tex]4\times12\times28\times52=4^4(1\times3\times7\times13)[/tex]
[tex]=4^4\bigg(1\times(1+2)\times(1+2+4)\times(1+2+4+6)\bigg)[/tex]
[tex]=4^4\bigg(1\times(1+2(1))\times(1+2(1+2))\times(1+2(1+2+3)\bigg)[/tex]
[tex]=4^4\displaystyle\prod_{i=1}^3\left(1+2\sum_{j=1}^{i-1}j\right)[/tex]
[tex]=4^4\displaystyle\prod_{i=1}^3(i^2-i+1)[/tex]

So in general we have

[tex]a_{2k}=\dfrac{(-1)^k2^k\displaystyle\prod_{i=1}^{k-1}(i^2-i+1)}{(2k)!}[/tex]

We can treat the odd-indexed terms similarly. For [tex]n=2k-1[/tex] [tex](k\ge1)[/tex] we have

[tex]a_1=a_1[/tex]
[tex]a_3=-\dfrac14a_1=-\dfrac3{2\times3\times2}a_1=-\dfrac3{2\times3!}a_1[/tex]
[tex]a_5=-\dfrac7{2\times5\times4}a_3=\dfrac{7\times3}{2^2\times5!}a_1[/tex]
[tex]a_7=-\dfrac{19}{2\times7\times6}a_5=-\dfrac{19\times7\times3}{2^3\times7!}a_1[/tex]

and so on. Again, the pattern in the denominator is simple. For [tex]k=5[/tex], we would get a numerator of

[tex]3\times7\times19\times39=3\times(3+4)\times(3+4+12)\times(3+4+12+20)[/tex]
[tex]=3\times(3+4(1))\times(3+4(1+3))\times(3+4(1+3+5))[/tex]
[tex]=\displaystyle\prod_{i=1}^4\left(3+4\sum_{j=1}^{i-1}(2j-1)\right)[/tex]
[tex]=\displaystyle\prod_{i=1}^4(4i^2-8i+7)[/tex]

and in general we'd have

[tex]a_{2k-1}=\dfrac{(-1)^{k+1}\displaystyle\prod_{i=1}^{k-1}(4i^2-8i+7)}{2^{k-1}(2k-1)!}[/tex]

Thus the power series solution to this ODE is

[tex]y(x)=\displaystyle\sum_{k\ge0}a_{2k}x^{2k}+\sum_{k\ge1}a_{2k-1}x^{2k-1}[/tex]

Attached below is a plot of a numerical solution (blue) compared to the first 9 terms [tex](0\le n\le8)[/tex] and first 21 terms [tex](0\le n\le21)[/tex] of the series solution over the interval [tex]|x|\le3[/tex], assuming initial values of [tex]y(0)=y'(0)=1[/tex] [tex](a_0=a_1=1)[/tex].

There are currently 3 students signed up for a trip. The van can transport only 7 students. 

Which graph shows all the possible values for the extra number of students that need to sign up so that more than one van is needed to transport them? 

    

Answers

Answer: Number line with open circle on 4 and shading to the right.

Solution:

Call x the number of students that need to sign up so that more than one van is neeed to transport them, then:
 
x + 3 > 7

=> x > 7 - 3

=> x > 4

That is the numbers greater than 4, without including the number 4.

That, in the number line, is the set of numbers to the right of 4, and the open circle is used to indicate that the number 4 is not included (a closed circle would indicate that the number 4 is included, which is not the case).

A survey asks 1200 workers, "has the economy forced you to reduce the amount of vacation you plan to take this year?" Thirty-five percent of those survey selected. The random variable represents the number of workers who are reducing the amount of vacation. Find the mean, variance and standard deviation of the binomial deviation of the binomial distribution.

Answers

If a variable is binomially distributed with n trials and a success probability of p, then the mean = np, variance = np(1–p) and standard deviation = square root of variance.

In this case, n = 1200, p = 0.35. So, mean = (1200)(0.35) = 420,
variance = (1200)(0.35)(1–0.35) = 273,
standard deviation = square root of variance = √273 = 16.52.

Mean = 420Variance = 273Standard Deviation = 17

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

A survey asks 1200 workers → n = 1200

Thirty-five percent of those survey selected → p = 35% = 0.35

To find the mean of a binomial distribution, we can use the following formula:

[tex]Mean = n \times p[/tex]

[tex]Mean = 1200 \times 0.35[/tex]

[tex]\boxed {Mean = 420}[/tex]

To find the variance of a binomial distribution, we can use the following formula:

[tex]Variance = n \times p \times (1 - p)[/tex]

[tex]Variance = 1200 \times 0.35 \times (1 - 0.35)[/tex]

[tex]Variance = 1200 \times 0.35 \times 0.65[/tex]

[tex]\boxed {Variance = 273}[/tex]

To find the standard deviation of a binomial distribution, we can use the following formula:

[tex]Standard ~ Deviation = \sqrt{Variance}[/tex]

[tex]Standard ~ Deviation = \sqrt{273}[/tex]

[tex]\boxed {Standard ~ Deviation \approx 17}[/tex]

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

the following shows a sequence of perfect cube

64,p,216,q

find the value of p+q

Answers

The sequence is as follows:
4^3, 5^3, 6^3, 7^3.

p = 5^3, q = 7^3

p + q = 468
I'd suggest you begin by listing actual perfect cubes, beginning with 4^3:

64, 125, 216, 343, etc.  This is equivalent to 4^3, 5^3, 6^3, 7^3, etc.

Then p = 125, and q =343.  Thus, p + q = 125 + 343 = 468 (answer)

Find the derivative of the function using the definition of derivative. f(x) = 1 5 x − 1 6

Answers

the answer would be f'(x)=15. the constant 15 would be left alone and the derivative of x is just one giving you the 15 left over. -16 is not connected to a letter so the derivative of that would be 0.

To find the derivative of the given function using the definition of derivative, we can start by taking the limit of the expression. By simplifying the expression and canceling out terms, we can find the derivative as -10/(20x√x-√x)(10x-1/2).

The function f(x) = 1/(10x-1/2)

To find the derivative of the function using the definition of derivative, we can start by writing the expression of the derivative:

f'(x) = lim(h->0) [f(x+h) - f(x)] / h

Substituting the function f(x) into the expression, we have:

f'(x) = lim(h->0) [1/(10(x+h)-1/2) - 1/(10x-1/2)] / h

To simplify the expression, we can find a common denominator and combine the fractions:

f'(x) = lim(h->0) [(10x-1/2) - (10(x+h)-1/2)] / h[(10(x+h)-1/2)(10x-1/2)]

Expanding and simplifying the expression, we get:

f'(x) = lim(h->0) -10/(2√x-√(x+h)) / h(10x-1/2)(10(x+h)-1/2)

Now, we can cancel out the h in the denominator:

f'(x) = lim(h->0) -10/(2√x-√(x+h))(10x-1/2)(10(x+h)-1/2)

Taking the limit as h approaches 0, we get:

f'(x) = -10/(2√x-√x)(10x-1/2)(10x-1/2)

Now, we can simplify further:

f'(x) = -10/(20x√x-√x)(10x-1/2)

So, the derivative of the function is f'(x) = -10/(20x√x-√x)(10x-1/2)

complete question given below:

Find the derivative of the function using the definition of derivative.

1 f(x) = 1/10x-1/2

f'(x) =

State the domain of the function, f(x). (Enter your answer in interval notation.)

State the domain of its derivative, f'(x). (Enter your answer in interval notation.)

On Monday, David had $50 in his wallet and withdrew $200 from his bank account. He bought 2 shirts for $12.00 each, and 2 pairs of shoes for $26.00 each. Write the final expression needed to determine how much money David had at the end of the shopping day. 50+200- [2(12) +2(26)] 50+200+[2(12) +2(26)] 50-200[2(12) +2(26)] 50-200/[2(12) +2(26)]

Answers

Answer:

50 + 200 - [2(12) + 2(26)] is the correct option

An American green tree frog tadpole is about 0.00001 kilometer in length when it hatches. Write this decimal as a power of 10

Answers

1.e-50
you multiply .00001 by itself 10 times
Final answer:

The decimal number 0.00001 can be written as a power of 10 as 1 x 10^-5. This is because the decimal is shifted five places to the right.

Explanation:

The student is asked to express the number 0.00001 as a power of 10. This can be achieved by understanding that the power (exponent) of 10 is equal to how many places the decimal is shifted. Here, the decimal is shifted five places to the right so we use the negative exponent -5 to denote this shift. Therefore, 0.00001 written as a power of 10 is 1 x 10^-5.

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Find the percent of change from $240 to $320

Answers

320/240 = 1.33

1.33 = 133% (move the decimal point over two places to the right)

133% is your answer

hope this helps
Find the difference between $240 and $320.  It's $80.

Then the percentage change was

$80
-------- * 100% = +33.33%
$240

gregorios drive 200 miles per day for 10 days how many miles did he drive in all

Answers

Gregorios drove 200 miles a day for 10 days. 200 miles(10 days)= 2,000 miles in all.
Otherwise done as 200x where x=10. We fill it in and get 2,000 miles. 

Simplify by combining like terms.
12−a+a+12
Thanks!

Answers

The like terms are the a terms and the constants. If you combine them, you will get 24, as the negative a and the positive a cancel each other out.

Three-fourths of the sixth grade students at Ashlee’s school are twelve years old. One-half of the twelve year old students are boys. What fraction of the sixth grade students are twelve year old boys? Use numbers to explain your answer.

Answers

I think you would just divide 3/4 by 1/2, which equals 1 1/2.
I'm not sure if that's correct or not though.

Find the interval of convergence of the series (5x-1)^n

Answers

[tex]\displaystyle\sum_{n\ge0}(5x-1)^n[/tex]

As a geometric series, this will converge for

[tex]|5x-1|<1\implies -1<5x-1<1\implies 0<5x<2\implies 0<x<\dfrac25[/tex]

In the general linear equation, y = bx + a, what is the value of b called?

Answers

B in this equation is called slope

lily swims a 100-meter race. she swims the first half in 27.8 seconds. she swims the second half in 30.12 seconds. how long does it take lily to swim the whole race?

Answers

we know that

1) Lily swims a [tex]100[/tex]-meter race

2) She swims the first half in [tex]27.8[/tex] seconds

3) She swims the second half in [tex]30.12[/tex] seconds

so

To find the total time to swim the whole race sum the time in the first half plus the time in second half

[tex](27.8+30.12)=57.92\ seconds[/tex]

therefore

the answer is

[tex]57.92\ seconds[/tex]

By adding the two given times, we will see that she completes the race in 57.92 seconds.

How to find the time in which she finishes the race?

We know that:

She swims the first half on 27.8 seconds.She swims the second half on 30.12 seconds.

Then the time that it took to complete the whole race is just the sum of these two times, we will get:

Total time = 27.8 seconds + 30.12 seconds = 57.92 seconds.

We can conclude that Lily swims the whole race in 57.92 seconds.

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What is 45 1/2% as a fraction in the simplest form?

Answers

91/200 ninety-one over two hundred
All the % sign is is another way of denoting hundredths, so 45 1/2% and 45 1/2 hundredths are the same thing. With this knowledge, We can write it as a fraction like this:

[tex] \frac{45 \frac{1}{2} }{100} [/tex]

Converting the mixed number 45 1/2 to the improper fraction 91/2, we now have:

[tex] \frac{ \frac{91}{2} }{100} [/tex]

Dividing a number by 100 is the same thing as multiplying it by 1/100, so we can rewrite this complex fraction as the product

[tex] \frac{91}{2}\times \frac{1}{100} = \frac{91}{200} [/tex]

91/200 is irreducible, so we have our answer.

The number 72 is between what two perfect squares? Enter a numerical answer only

Answers

8^2 and 9^2. Because 8 squared equals 64 and 9 squared equals 81

The​ marginal-revenue equation is

Answers

recall the power rule.

[tex]\bf R(x)=0.0683x^2+1.25235x+2.1653\\\\\\ \cfrac{dR}{dx}=0.1366x+1.25235[/tex]

A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end of the highway at the 30 mi. mark. If n is the number of markers, which equation is true?
A. 30 • 0.2 = n
B. 30 • 0.5 = n
C. 30 • n = 0.2
D. 30 ÷ 0.2 = n

Answers

Answer would be D

, you need to divide the total distance by the spacing to find total markers

Answer:

Your answer is D. 30 divided by 0.2 = n.

Step-by-step explanation:

Divide 30 by 0.2 and you get your correct answer.

Melody jackson wishes to enclose a rectangular garden with fencing, using the side of her garage as one side of the rectangle. a neighbor gave her 30 feet of fencing, and melody wants the length of the garden along the garage to be 3 feet more than the width. what is the length of the garden? write your answer without units.

Answers

Just finished this for another student.

Length = 9

An employee's annual salary was increased from $22,464.00 to$24,710.40 last year. If it is increased by the same percent this year, what will the employee's salary?

Answers

It is 28,684.00. That is very easy
The answer is going to be 27,181.44

Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%. Provide Bill with the solution to his problem in years

Answers

Final answer:

It will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

Explanation:

To find out how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%, we can use the simple interest formula:



Interest = Principal × Rate × Time



Where:



Principal is the initial amount of money, which is $1,000 in this caseRate is the interest rate as a decimal, which is 12.5% or 0.125Time is the number of years it will take for the amount to accumulate, which we need to find out



Substituting the values into the formula:



Interest = $1,900 - $1,000

$1,900 - $1,000 = $900



$900 = $1,000 × 0.125 × Time



To find Time, we can rearrange the formula:



Time = $900 / ($1,000 × 0.125)

Time = 0.72 years



Therefore, it will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

From Monday to Tuesday, the depth of a snowdrift changed by −2 3/8 inches. From Tuesday to Wednesday, the depth changed by half as much. What is the change in the depth of the snowdrift from Tuesday to Wednesday? Please answer I don't have much time, thanks.

Answers

divide 2 3/8 inches by 2

 2 /2 = 1

3/8 /2 = 3/16

change was - 1 3/16


what is the correct way to read this number 6.3078

Answers

Six point three zero seven eight.
Six and three thousand seventy-eight thousandths

Which expressions are equivalent to the one below? Check all that apply.

log 2 - log 6

Answers

Expressions equivalent to 'log 2 - log 6' are based on the property of logarithms that states 'log a - log b' is equivalent to 'log (a/b)'. Thus, the equivalent expression is 'log (1/3)'.

The expressions equivalent to log 2 - log 6 can be found using the property of logarithms that deals with the difference of logarithms. According to this property, log a - log b is equivalent to log (a/b). Therefore, one equivalent expression for log 2 - log 6 would be log (2/6), which can be simplified to log (1/3).

5% of the soccer team is on the honor roll. Rewrite this percent as a fraction in simplest form

Answers

The answer is 1/20 hope this helps
5 percent is equal to 1/20. Since 1/20 cannot be simplified, the final answer is 1/20.

Which number could replace box the to make this number sentence true?


27 > + 8

Answers

7
seven
siete
siedem
sept
these are diffrent languagues for you

Jimmy has a number cube labeled 1through 6, and a penny. How many different ways can the cube and penny land with one roll of the cube and one flip of the penny . 1. 2. 3. 4. 5. 6

Answers

The answer would be 12.

Ex.
1H 2H 3H 4H 5H 6H
1T 2T 3T 4T 5T 6T

Answer:

12 ways

Step-by-step explanation:

We know that,

When the cube is rolled,

Possible ways = 6 ( i.e. 1, 2, 3, 4, 5 or 6 ),

While, when a penny is flipped,

Possible ways = 2  ( i.e. head or tail ),

Thus, when the cube and penny flipped one time,

Total possible ways = 6 × 2 = 12

( i.e, 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T or 6T )

the distance between the points 5,1 and 5,-6 is the square root of length?

Answers

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 5}}\quad ,&{{ 1}})\quad % (c,d) &({{ 5}}\quad ,&{{ -6}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{(5-5)^2+(-6-1)^2}\implies d=\sqrt{0^2+(-5)^2}\implies d=\sqrt{25}[/tex]
Other Questions
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