Which of the following are NOT factors of 24?

Answer:

\(x=11\)

Step-by-step explanation:

It is a linear pair

\(7x + 12 + 8x + 3 = 180\)

\(15x + 15 = 180-15\\15x = 165\)

\(x=11\)

Answer:

34.63

Step-by-step explanation:

The 2 in 34.6285 marks the hundredths place

We can round by seeing what number is to the right of it which is 8.

Since 8 is larger than 5, we round up by 1.

Thus, 34.63 is our answer

The answer is:

34.63

Work/explanation:

Rounding to the nearest hundredth means rounding to 2 decimal places (DP).

So we have 2 decimal places, and the 3rd one matters too because it will determine the value of the 2nd DP.

The third DP is 8. Since it's greater than 5, then the value of the 2nd DP will be rounded up. I will add 1 to it.

Remember that we round up when the digit that we're rounding to is followed by another digit that is greater than or equal to 5.

So we round :

\(\bf{34.6285 =\!=\!\!\! > 34.63}\)

Answer:

(1/5, 9/5)

Step-by-step explanation:

Given the set of inequities

x+y>2..... 1

4x-y≥-1 .... 2

We are to get the solution point (x,y)

Solving simultaneously

From 1:

x>2-y

Substitute into 2

4(2-y)-y≥-1

4(2)-4y-y≥-1

8-5y≥-1

-5u ≥-1-8

-5y ≥-9

y≤9/5

Since x>2-y

x>2 - 9/5

x>1/5

Hence the required point is (x,y) = (1/5, 9/5)

Answer:

C. (0,3)

Step-by-step explanation:

hope this helps :)

Answer:

Esther would be charged $72.88.

Step-by-step explanation:

To calculate Esther's interest charge, we need to know the interest rate and the length of time the balance has been outstanding.

Given that Esther's credit card balance has been outstanding for 52 days, and the interest rate is 25.99%, we can use the following formula to calculate her interest charge:

Interest = (Principal x Rate x Time) / 365

Where:

Principal = the amount of the balance

Rate = the interest rate as a decimal

Time = the length of time the balance has been outstanding

Using this formula, we can calculate Esther's interest charge as follows:

Interest = (1950 x 0.2599 x 52) / 365

Interest = 72.88

Therefore, Esther would be charged $72.88 in interest if the rate is 25.99%.

The factorization of 5k² + 7k is k(5k + 7).

Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

Given expression:

5k² + 7k

as, the variable k is common in both 5k² and 7k.

So, we can take k as common term.

Then,

5k² + 7k

=(5*k*k + 7*k)

=k(5k + 7)

Now, we cannot take common term further.

Hence, the factorization is k(5k + 7)

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The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

x = 112, y = 68, z = 112

Step-by-step explanation:

y = 68

x = z = 180 - 68 = 112

Answer:

it should be did the math 1/5

Answer:

the total number of arrangement is six

Step-by-step explanation:

Part (a) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A and B are next to each other.

Suppose A and B are together and form a group, then no. of groups are .

These groups can be arranged in

A and B can be arranged in .

Therefore, the possible no. of arrangements are .

Part (b) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B.

Total no. of arrangements with six letters

The no. of arrangements in which A is before B

Therefore, the possible no. of arrangements are .

Part (c) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B and B is before C.

Total no. of arrangements with six letters

A, B and C can be arranged in

Out of these 6 arrangements, there is only one arrangement in which A is before B and B is before C.

So, the possible no. of ways =

Therefore, the possible no. of arrangements are .

Part (d) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B and C is before D.

The no. of arrangements in which A is before B

Out of these arrangements, half will be with C before D and half will be with D before C.

Therefore, the possible no. of arrangements are .

Part (e) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A and B are next to each other and C and D are also next to each other.

If A and B form one group and C and D from another group then there are groups and these groups can be arranged in

A and B can be arranged in

Similarly, C and D can be arranged in

Therefore, the possible no. of arrangements are .

Part (f) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that E is not last in line.

The no. of arrangements in which the position of E is fixed at last

The no. of arrangements in which the position of E is not fixed

Therefore, the possible no. of arrangements are

Answer:

b

Step-by-step explanation:

Answer:

2.4g-2.4g-9.8g "-9.8 grams".

Step-by-step explanation:

You just have to subtract the masses.

Hope this helps :)

Answer:

Answer. Step-by-step explanation: The answer is 0.8 because if something is 10 x of something in decimal terms it would be the number after the decimal getting smaller.

Given that,

Total number of snails shells and shark teeth = 60

The ratio of snail shells to shark teeth is 5:1

To find,

Total no of snail shells used by the Jeweler.

Solution,

Let there are 5x snail shells and x shark shells.

According to question,

5x+x = 60

6x = 60

x = 10

Snail shell = 5x

= 5(10)

= 50

Hence, he uses 50 snail shells.

Answer:

270 miles

Step-by-step explanation:

set up as proportion and cross multiply to solve. additionally, i represented 3 hours as 180 minutes

18 miles/12 minutes = x/180 minutes

x = 270

therefore, he went 270 miles

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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The most appropriate choice for functions will be given by -

First and second options are correct

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here Domain of function is obtained from x axis and range of the function is obtained from y axis

For the first option

Every element of domain has a unique image

So first graph is a function.

First option is correct

For the second option

Every element of domain has a unique image

So second graph is a function.

Second option is correct

For the third option

x = 3 has been mapped to every element of y axis

So ]x = 3 has infinite number of images.

Third graph is not a function.

Third option is wrong

For the fourth option

Every point on x axis has been mapped to two elements

So every element of x axis has two images.

Fourth graph is not a function

Fourth option is wrong.

So First and second option are correct

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Answer:

a) 75%.

b) 84%

c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by \(100(1 - \frac{1}{k^{2}})\).

In this question:

Mean: 6.3 hours

Standard deviation: 1.6 hours

(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.

3.1 = 6.3 - 2*1.6

9.5 = 6.3 + 2*1.6

Within 2 standard deviations, so the minimum percentage is 75%.

(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.

How many standard deviations from the mean?

One standard deviation is 1.6

These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which

\(k = \frac{4}{1.6} = 2.5\)

The minimum percentage is:

\(100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%\)

So 84%.

(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.

Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Answer:237 . 12

Step-by-step explanation:

pleas give me a BRAINLY pleas

Answer:

y = 4\((3)^{x}\)

Step-by-step explanation:

For an exponential function in the form

y = a \(b^{x}\)

Use the given points to find the values of a and b

Using (1, 12), then

12 = ab → (1)

Using (2, 36), then

36 = ab² → (2)

Divide (2) by (1)

\(\frac{36}{12}\) = \(\frac{ab^2}{ab}\) , then

3 = b

Substitute b = 3 into (1) for value of a

12 = 3a ( divide both sides by 3 )

4 = a

Thus

y = 4\((3)^{x}\) ← is the exponential function

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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In the first week, the second week, the third week and the fourth week, the 4 employees are promoted to the position of general manager in 73440 ways.

Permutation and combination:

Permutation is the act of arranging objects or numbers in order.

Composition is the selection of objects or numbers from a group of objects or collections, the order of the objects being unimportant.

According to the Question:

Arranging elements in a specific order is called permutation. Here, the components of the collection are organized in a linear or sequential fashion. For example, the permutation of the set A=1,6 is 2, which is 1,6,1. Unlike composition, where the order of the parts does not matter, permutation requires the elements to be in a specific order.

The four qualified employees out of the 18 available employees can be promoted by:

\(P\left \{ {{y=18} \atop {x=4}} \right. = \frac{18!}{18-4}\)

In the solution we have obtained,

the total number of ways = 73440

Therefore,

total number of disadvantageous methods is 73440.

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

\(x^{2}=27*30\\x^{2} = 810\\x=9\sqrt{10}\)

Answer:

The center of the circle is the point (6,3)

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

The dimensions of the bathroom are 3x - 4 by 5x + 1

From the question, we have the following parameters that can be used in our computation:

The above parameters means that

Length of the bathroom =  Length of the blueprint - Length of the bedroom - Length of the master bedroom

Substitute the known values in the above equation, so, we have the

following representation

Length of the bathroom =  17x - 5 - 6x - 2 - 8x + 3

Evaluate the like terms

Length of the bathroom =  3x - 4

The width of the bathroom is the width of the bedrooms

So, we have

Width of the bathroom =  5x + 1

Hence, the dimension is 3x - 4 by 5x + 1

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The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

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Answer:B

Step-by-step explanation:because I got it correct

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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