Six sophomores and 14 freshmen compete

Answers

Answer 1

Answer:

(6C1)(5C1)/20C2

Step-by-step explanation:

Was right on egde


Related Questions

Slope=6and passes through (4,-1)

Answers

Answer:

Step-by-step explanation:

If you need the equation:

point slope form is:

y-y1 = m(x-x1)

m is the slope and (x1,y1) is a point on the line.

y- (-1) = 6(x-4)

If you want standard form:

y= 6x -24 -1

y=6x-25

How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol?

Answers

Answer:

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

The circumference of a circle with radius r can be found using the formula C=2πr


Find the circumference of a circle with radius 15.4 feet . Round your answer to two decimal places.


----------------------ft

Answers

Answer:

96.72

Step-by-step explanation:

Answer:

96.77

Step-by-step explanation:

pi is 3.142

radius = 15.4ft

c = 2*3.142*15.4

please help, will give brainliest!!!

Answers

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

y = x^2 -4

Exchange x and y

x = y^2 -4

Add 4 to each side

x+4 = y^2

Take the square root of each side

sqrt(x+4) = y

f^-1(x) = sqrt(x+4)

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

Find m These questions getting hard

Answers

Answer:

the

Step-by-step explanation:

it's fairly easy actually. You just have to use sin

Help please :) Whoever helps and gets answer correct gets Brainliest!

Answers

Answer:

1/8 is the slope

Step-by-step explanation:

Answer:

slope = 8

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{1}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 26) and (x₂, y₂ ) = (2, 34) ← 2 ordered pairs from the table

m = [tex]\frac{34-26}{2-1}[/tex] = [tex]\frac{8}{1}[/tex] = 8

2-[6÷2+{6×1/2+(7/2-3/2)}]​

Answers

Answer:

-6

Step-by-step explanation:

2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =

Follow the correct order of operations.

Do one step at a time and copy everything else each time, so you don't lose track of any operation.

= ​2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]

= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]

= 2 - [6 ÷ 2 + {3 + 2}]

= 2 - [6 ÷ 2 + 5]

= 2 - [3 + 5]

= 2 - 8

= -6

Answer:

-6

hope this helps

Step-by-step explanation:

2_(6÷2+(6*1/2+(7/2-3/2))) solve the ones in bracket first

(7/2-3/2)=2

2-(6÷2+(6×1/2+2))

6×1/2+2

6×1/2=3

3+2=5

2-(6÷2+5)

6÷2=3

3+5=8

2-8

=-6

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 15y = 135

Answers

Answer:

y=3/5x-9

Step-by-step explanation:

9x – 15y = 135

Subtract 9x from each side

9x -9x – 15y =-9x+ 135

-15y = -9x +135

Divide each side by -15

-15y/-15 = -9x/-15 +135/-15

y=3/5x-9

Each month, Terrance spends $128.00 on his car payment, $63.00 for car insurance, and $45.00 on gas. Round each amount to the nearest ten and estimate the amount of money Terrance spends each month to own a vehicle. $240.00 $220.00 $230.00 $210.00 which one is it

Answers

Answer:

$240

Step-by-step explanation:

Rounding each amount to the nearest 10

Car $128 = $130

Insurance $63 = $60

Gas $45 = $50

130 + 60+ 50 = $240

Subtract 7 pounds 3 ounces from 10 pounds

Answers

(10 pounds) - (7 pounds 3 ounces) =
2.8125 pounds

Malingo read 3/8 of a book on Friday, 1/4 on Saturday and the rest on Sunday. what fraction did he read on Sunday?​

Answers

Answer:

3/8

Step-by-step explanation:

We can write the entire book with the number 1. Now we can write this operation

3/8 + 1/4 + x = 1

3 + 2 + 8x = 8

5 + 8x = 8

8x = 3

x = 3/8

what is proportion as applied in mathematics​

Answers

Answer:

como se siente el actor al presentar la obra hola

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Answers

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

Someone help please

Answers

66 because you have to solve the problem next time

a truck rental company rents a moving truck for one day by charging $20 plus $0.05 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. waht is the cost of renting the truck if the truck is driven 107 miles

Answers

Answer:

The linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven is 0.05*x + 20 and the cost of renting the truck if the truck is driven 107 miles is 25.35.

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = y = m*x + b

where m is the slope of the function and b is the y-intercept.

The graph of a linear function is always a line.

A truck rental company rents a moving truck for one day by charging $20 plus $0.05 per mile. So, the number of miles travel is represented by "x"  and the cost per mile is represented by "c". The y-intercept is the starting cost at zero miles or $20.  The slope is the rate per mile or $0.05. Then:

c= 0.05*x + 20

If the truck is driven 107 miles, then:

c= 0.05* 107 + 20

Solving:

c= 25.35

So, the linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven is 0.05*x + 20 and the cost of renting the truck if the truck is driven 107 miles is 25.35.

...............................................................

Answers

You got a question...or..?

Let sin A = -5/13 with 270 degrees < A < 360 degrees and cos B = -15/17 with 90 degrees < B < 180 degrees find sin (A+B)

Answers

Answer:

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
5x – 4y = -4

Answers

4y=5x+4
Divid by 4 to make slop intercept form
Y=5/4y +1
Slop =5/4

Answer:

[tex]\boxed {\boxed {\sf y= \frac{5}{4}x+1}}[/tex]

Step-by-step explanation:

We are given the equation of a line and asked to put it into slope-intercept form.

Slope-intercept form is:

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

Where:

m= slope b= y-intercept

In order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.

[tex]5x-4y= -4[/tex]

5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.

[tex]5x-5x-4y=-4-5x[/tex]

[tex]-4y=-4-5x[/tex]

The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.

[tex]\frac {-4y}{-4}=\frac{-4-5x}{-4}[/tex]

[tex]y= \frac{-4}{-4}+\frac{-5x}{-4}[/tex]

[tex]y=1+\frac{5}{4}x[/tex]

Rearrange the equation.

[tex]y= \frac{5}{4}x+1[/tex]

The fractions are completely simplified, so this is our final answer.

The equation of the line in slope-intercept form is [tex]\bold {y= \frac{5}{4}x+1}}[/tex].

The slope is 5/4 and the y-intercept is 1.

What is the constant of variation k of the direct variation y=KP through (-3, 2)

Answers

Answer:

isisis

Step-by-step explanation:

ISO’s

Answer:

-2/3

Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.

Use the limit comparison test to determine whether ∑n=19∞an=∑n=19∞8n3−2n2+196+3n4 converges or diverges.

(a) Choose a series ∑n=19∞bn with terms of the form bn=1np and apply the limit comparison test. Write your answer as a fully simplified fraction. For n≥19,

limn→∞anbn=limn→∞


(b) Evaluate the limit in the previous part. Enter ∞ as infinity and −∞ as -infinity. If the limit does not exist, enter DNE.
limn→∞anbn =


(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive?

Answers

Answer:

Diverges

General Formulas and Concepts:

Algebra I

Exponential Rule [Dividing]:                                                                         [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                     [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Series Convergence Tests

P-Series:                                                                                                         [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{1}{n^p}[/tex]Direct Comparison Test (DCT)Limit Comparison Test (LCT):                                                                       [tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex]

Step 2: Apply DCT

Define Comparison:                                                                                     [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{n^3}{n^4}[/tex][Comparison Sum] Simplify:                                                                         [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n}[/tex][Comparison Sum] Determine convergence:                                             [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n} = \infty , \ \text{div by P-Series}[/tex]Set up inequality comparison:                                                                     [tex]\displaystyle\frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \geq \frac{1}{n}[/tex][Inequality Comparison] Rewrite:                                                                 [tex]\displaystyle n(8n^3 - 2n^2 + 19) \geq 6 + 3n^4[/tex][Inequality Comparison] Simplify:                                                                 [tex]\displaystyle 8n^4 - 2n^3 + 19n \geq 6 + 3n^4 \ \checkmark \text{true}[/tex]

∴ the sum  [tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex]  is divergent by DCT.

Step 3: Apply LCT

Define:                                                                                                           [tex]\displaystyle a_n = \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}, \ b_n = \frac{1}{n}[/tex]Substitute in variables [LCT]:                                                                       [tex]\displaystyle \lim_{n \to \infty} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \cdot n[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4}[/tex][Limit] Evaluate [Coefficient Power Rule]:                                                   [tex]\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4} = \frac{8}{3}[/tex]

∴ Because  [tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} \neq 0[/tex]  and the sum  [tex]\displaystyle \sum^{\infty}_{n = 19} a_n[/tex]  diverges by DCT,  [tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex]   also diverges by LCT.

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

Unit: Convergence Tests (BC Only)

Book: College Calculus 10e

Multiply the complex numbers: (1∕2 + 4i)2
Question 10 options:

A)

–153∕4 + 4i

B)

153∕4 + 8i

C)

–153∕4 + 8i

D)

153∕4 + 4i

Answers

Step-by-step explanation:

153∕4 + 8i is the correct answer

[I'm supposing that you have to find the value of (1/ 2 + 4i)²]

Answer:

[tex] = \frac{ - 63}{4} + 4i[/tex]

Step-by-step explanation:

we must know that

(a + b)² = a² + b² + 2ab

[tex] {( \frac{1}{2} + 4i) }^{2} = { (\frac{1}{2} })^{2} + {(4i)}^{2} + 2 . \frac{1}{2} . 4i[/tex]

[tex] = \frac{1}{4} + 16 {i}^{2} + 4i[/tex]

since i²= -1

[tex] = \frac{1}{4} - 16 + 4i[/tex]

[tex] = \frac{1 - 64}{4} + 4i[/tex]

[tex] = \underline{ \frac{ - 63}{4} + 4i} [/tex]

[I'm also assuming that instead of -153/4 + 4i option A says -63/ 4 + 4i.]

so the answer is option A.

Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable.

Answers

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

Need help with the answers that have been left Blank don’t understand how to do them

Answers

Step-by-step explanation:

d=20 J.

E=2,N,J

this is your answer

find all the missing measurement​

Answers

Answer:

fshscssjjsv 57

Step-by-step explanation:

fsuevwuwhw 58

You have 8 quarts of milk. You need 1.25 cups to make one serving of deep fried chicken. How many servings can you make?

Answers

Answer: 25.6 servings (partial serving) / 25 servings (whole serving)

Step-by-step explanation:

Concepts:

As we can see from the question, there are two units applied. [Quarts] and [cups]; therefore, we need to do the unit conversion.

1 quart = 4 cups

Solve:

Step one: Convert quarts into cups

1 quart = 4 cups8 quarts = 4 × 8 = 32 cups

Step two: Divide the cups to find the number of servings

32 cups / 1.25 cups = 25.6 servings

**Disclaimer** I am not sure about the rules that you apply in mathematics. Here, the answer is not an integer. I am concerned whether you would allow partial servings. In my understanding, the servings shall be a whole, thus should be rounded. However, if you are fine with decimals, then you have the choice.

Hope this helps!! :)

Please let me know if you have any questions

The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. (Select all that apply.) There are no potential problems with self reporting of distances.

Answers

Answer:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Step-by-step explanation:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Determine the value(s) for which the rational expression -3z+6/6z^2+14z-80 is undefined.

Answers

Answer:

[tex]z= 2 \ and \ z = \frac{-20}{3}[/tex]

Step-by-step explanation:

For the given expression to be undefined, it means that the denominator of the expression must be equal to zero

Hence;

[tex]6z^2+14z-80 = 0[/tex]

On factorizing:

[tex]6z^2+14z-80=0\\3z^2+7z-40 = 0\\3z^2-6z+20z-40 = 0\\3z(z-2)+20(z-2) = 0\\(3z+20)(z-2) =0\\(z-2)=0 \ and \ (3z+20)=0\\z= 2 \ and \ z = \frac{-20}{3}[/tex]

Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection

Answers

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

Please someone help I need help been stuck on this for the longest

Answers

Answer:

a.) 16

b.) 8

Step-by-step explanation:

a. how much lower was the 6am temperature in Nome than in Wyoming

Essentially this question is asking us to find the difference of the temperatures of Nome and Wyoming at 6am

Temperature of Nome at 6am: -31

Temperature of Wyoming at 6am: -15

Difference between two temperatures: -31 - (-15)

The two negative signs cancel out and the sign changes to +

-31 + 15 = -16

The temperature in Nome was 16 degrees lower then in Wyoming

b. At noon the temperature of Boston had risen by 14 degrees. what was the temperature of boston at noon.

All we have to do for this one is add 14 to the temperature of Boston at 6am. ( This is because the question tells us the temperature has risen 14 degrees by noon )

-6 + 14 = 8

At noon the temperature would be 8 degrees in Boston.

Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?

Answers

the answer is B. an = 13 + 14(n-1)

Answer:

B

Step-by-step explanation:

an = a+(n-1)d

an=13+(n-1)14

d=14

Other Questions
40 POINTS ASAP PLEASE Read the sentence: Rafael finds fossils. Select the sentence that correctly uses a prepositional phrase to add detail. Rafael finds fossils around his neighborhood. Rafael finds fossils but never shark's teeth. Rafael finds fossils when he goes digging. Rafael finds fossils, which he thinks are cool. PLS HELP ME!!!A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.A. systematic sampleB. random sampleC. convenience sampleD. self-selecting sample Anyone could please answer this?? A consumer must decide between purchasing a new television or a new computer. What limited resource is responsible for this trade-off decision? A. The consumer has a different benefit from each possible product. B. The profit the producers receive from each possible purchase. C. The producers have a limited number of televisions and computers. D. The consumer has a limited amount of money available for purchases. An AED automatically detects if ais needed. *Your answerOThis is a required question HELP ASAP!Choose the correct way to complete the sentence about why it is important to critically analyze media.By critically analyzing media, a consumer can recognize the purpose of messages, __________________, and recognize marketing strategies used to influence the public.A: Understand RolesB: Perceive bias or inaccurate informationC: Reinenforce sterotypes and biases Help please Algebra 1 Simplify 4y-6yx+y Which function represents the graph of f(x)=4|x| after it is translated 3 units down? How does the united nations use technology to solve the problems resulting from the language barrier during meetings Of the general assembly? Find the area If you get this correct i WILL GIVE YOU 100 POINTS 108121014? a. 16b. 10c. 12d. 18 On the first day of a two-day meeting, 10 coffees and 10 doughnuts were purchased for a total of $20.00. Since nobody drank the coffee and all the doughnuts were eaten, the next day only 2 coffees and 14 doughnuts were purchased for a total of $13.00. How much did each coffee and each doughnut cost? Department M had 2,000 units 56% completed in process at the beginning of June, 13,500 units completed during June, and 1,000 units 28% completed at the end of June. What was the number of equivalent units of production for conversion costs for June if the first-in, first-out method is used to cost inventories? a.14,780 units b.13,780 units c.12,660 units d.11,500 units information of samriyan enterprises is given below.a)Started bussiness with Rs 20000 b) purchase good of Rs 15000 from Ram.c)Goods sold on cash Rs 18000 d)Cash paid Ram Rs 10000 e)A gain goods purchase from Ram of rs 20000 f) Paid to Ram Rs 24000 in full settlement of his account.Required a) journal entries Adding the fractions3/14+2/21+1/6 Seven-year-old Alex is reading a fairytale about a beautiful woman in need of rescue and a noble man who saves her. Which concept best explains the messages Alex is receiving through the fairy tale due in 30mins. please help tres areas donde se aplica la ciencia y tecnologia Which angles are supplementary to each other? Angle 4 and Angle 2Angle 5 and Angle 2Angle 4 and Angle 3Angle 2 and Angle 7