Use integers to represent the values in the statement. The number of students admitted to an institute in some year was 41,933 fewer students than the number thatappliedThe integer that represents the difference between the number of admitted students and the number of students that applied is

Answer:

mixed number <3

Step-by-step explanation:

vause it is

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

The linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirt is p(n) = - 1 / 250n + 34.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the clothing business finds there is a linear relationship between the number of shirts, n,  it can sell and the price, p , it can charge per shirt.  1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 .

Therefore,

using  (1000, 30) and (3000, 22) let's find the slope.

m = 22 - 30 / 3000 - 1000

m = - 8 / 2000

m = - 1 / 250

Hence, let's find the y-intercept using (1000, 30)

p(n) = mn + b

where

Therefore,

30 = - 1 / 250 (1000) + b

30 = - 4 + b

b = 30 + 4

b = 34

Hence, the linear equation is p(n) = - 1 / 250n + 34

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Answer:

1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)

The following gallons gallons will cover the distance below:

She uses 4 gallons of gas for every 28 miles she travels.

Let's find the rate and use it to find the number of gallons used for every distance covered.

Therefore,

rate = 28 / 4 = 7 miles per gallons

Hence,

when distance = 7 miles

7 = 7 / number of gallons(x)

7x = 7

number of gallons used = 1 gallons

when number of gallons = 7

7 = distance / 7

distance = 7 × 7 = 49 miles

When distance  = 63 miles

7 = 63 / x

x = 63 / 7

number of gallons  used = 9

when number of gallons = 10

7 = distance / 10

distance  = 70 miles

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Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

Answer: The friend would be 5ft tall! <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution:

A four-digit number 4ab5 is divisible by 55. Then the value of b - a is 1.

The values of the given polynomial function are:-

(a) f(0) = 12,

(b) f(2) = 44 and,

(c)  f(-2) = 36

Given polynomial function:-

\(f(x)=x^3+7x^2-2x+12\)

We have to find the values of the given polynomial function.

Putting x = 0 in the given polynomial function, we get,

\(f(0)=(0)^3+7(0)^2-2(0)+12\)

f(0) = 0 + 0 - 0 + 12 = 12

f(0) = 12

Putting x = 2 in the given polynomial function, we get,

\(f(2)=(2)^3+7(2)^2-2(2)+12\)

f(2) = 8 + 28 - 4 + 12

f(2) = 44

Putting x = -2 in the given polynomial function, we get,

\(f(-2)=(-2)^3+7(-2)^2-2(-2)+12\)

f(-2) = -8 + 28 + 4 + 12

f(-2) = 36

Hence, we have found the values of each of the given values of x.

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Answer:

-10 sqrt(10)

Step-by-step explanation:

-2 sqrt(250)

We know that sqrt(ab) = sqrt(a) sqrt(b)

-2 sqrt(25*10)

-2 sqrt(25)*sqrt(10)

-2 *5*sqrt(10)

-10 sqrt(10)

Answer:

V= 6/w

Step-by-step explanation:

Answer:

9:0

Step-by-step explanation:

how do u expect me to explain it

Answer: 4,000

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8 x 3ft = 24

4 x 3 = 12

24 + 12 = 36ft

so its B my g

Answer:

C.36ft2

Step-by-step explanation:

3+3=6

6x8=48

48/2=24

6x4=24

24/2=12

12+24=

36ft2

Answer:

[-0.2  0.4]

[0.8   -0.6]

The quotient when 6+8i is divided by 2i is given by -3i+4.

We know that, complex number \(i^1=-1\).

Given the divisor is = 2i and dividend is = 6+8i

Dividing the dividend by divisor we get,

(6+8i)/2i = 6/2i + 8i/2i = 3/i + 4 \(=\frac{3i}{i^2}+4\) = 3i/(-1)+4 = -3i+4

Hence the quotient is = -3i+4.

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Answer:

x=9

Step-by-step explanation:

Distribute:

3x+9-2x+2=5x-25

Combine like terms:

x+11=5x-25

Solve:

x-x+11=5x-x-25

11=4x-25

11+25=4x-25+25

36=4x

Divide by 9:

x=9.

Hope this helps :D

Answer:

x = 9

Step-by-step explanation:

Step 1: Solve both sides by distributing the values.

3x+9-2x+2 = 5x-25

Step 2: Put the like terms together.

3x-2x-5x = -25-9-2

-4x = -36

Step 3: Divide both sides by -4 to get the value of x.

\(\frac{-4x}{-4}\) = \(\frac{-36}{-4}\)

x = 9

Let's verify the answer.

3x+9-2x+2 = 5x-25

3(9)+9-2(9)+2 = 5(9)-25

27+9-18+2=45-25

20 = 20

Answer:

A) Yes...ABC and GFC are similar using AA.

Step-by-step explanation:

Answer:

they are not independent

Step-by-step explanation:

they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.

The value of the missing side x of the right triangle is determined as  8√3.

The value of the missing side x is calculated by applying Pythagoras theorem as follows;

The value of the given sides of the right triangle;

the height of the right triangle, h = 8

the base of the right triangle, x = ?

the hypotenuse side of the right triangle, L = 16

The value of the missing side x is calculated as follows;

16² = x² + 8²

Collect similar terms together;

x² = 16² - 8²

x² = 256 - 64

x² = 192

x = √ 192

x = √ ( 64 × 3 )

x = √ 64  × √ 3

x = 8 ×√3

x = 8√3

Thus, the value of the missing side x is determined as  8√3.

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Answer:

hi

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer: -5x^2 + 2

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Answer:

See attached image.

Step-by-step explanation:

Explanation:

If A*B = 0, then either A = 0 or B = 0 or both are zero. This is the zero product property.

For this problem we'll have x(x+3) = 0 lead to x = 0 or x+3 = 0

Solve x+3 = 0 to get x = -3

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

54 79 100 70 75 56 88

55 78 75 55 72 60 80

55 88 80 85 69 71 60

90 64 77 88 65 102 70

Class____frequency____cumulative frequency

54 - 63_____7_____________7

64 - 73_____7_____________14

74 - 83_____7_____________21

84 - 93_____5_____________26

94 - 103____2_____________28

You can sort the data and can count their frequency and then can form the group with 5 classes based on how many unique observations are there.

The grouped frequency distribution and cumulative frequency distribution is given as

\(\begin{array}{ccc}\text{Class Interval}&\text{Frequency}&\text{C. F.}\\\\54-58&5&5\\59-63&2&5+2=7\\64-68&2&7+2=9\\69-73&5&9+5=14\\74-78&4&18\\79-83&3&21\\84-88&4&25\\89-93&1&26\\94-98&0&26\\99-103&2&28\\\end{array}\)

(although 103 is not included, its just for making 5 sized class)

Suppose you've got frequency distribution for classes as

a, b, c,...

Then the cumulative frequency distribution will calculate sum of all classes' frequency till that class:

a, a+b, a+b+c, ...

You can sort the data and can count their frequency and then can form the group with 5 classes based on how many unique observations are there.

Sorting the data in ascending order gives us

54, 55, 55, 55, 56, 60, 60, 64, 65, 69, 70, 70, 71, 72, 75, 75, 77, 78, 79, 80, 80, 85, 88, 88, 88, 90, 100, 102

Using the given data, forming 5 class sized groups:

\(\begin{array}{ccc}\text{Class Interval}&\text{Frequency}&\text{C. F.}\\\\54-58&5&5\\59-63&2&5+2=7\\64-68&2&7+2=9\\69-73&5&9+5=14\\74-78&4&18\\79-83&3&21\\84-88&4&25\\89-93&1&26\\94-98&0&26\\99-103&2&28\\\end{array}\)

(although 103 is not included, its just for making 5 sized class)

(in second third and fourth row, it is shown how to calculate Cumulative Frequency (CF) )

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