HELP?!?
Write the prime factorization for these numbers
1. 235
2. 460
3. 582
4. 297
5. 777
6. 624

Answer:

27 students

Step-by-step explanation:

The statements that would support her request include:

A well-known marker brand's manufacturer intends to introduce a new shade. It mailed surveys to 5,000 of its customers asking them which general color family they preferred in order to decide which color to add.

The percentage difference is not statistically significant enough to support the majority claim. The survey did not include families of every color, which might have led to nonresponse bias.

It's possible that the mail-in survey had an undercoverage bias. Also, the results were not random because only current clients were polled.

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Answer: the other guy is correct except for the "since only existing customers...".

Step-by-step explanation:

Just took the test, the others he mentioned were right

Answer:

The answer selected is correct

Step-by-step explanation:

When talking about balance, having -X (being X in the negative) , means owing X.

Dylan owes $19.25

Elise owes $42.75

Francesca owes $23

Jamaal owes $35.50

So naturally, Dylan owes the least.

(a) By expanding, the derivative of the polynomial is f'(x) = 12x² - 6x + 8

(b) Using the product rule, the derivative of the polynomial is f'(x) = 12x² - 6x + 8

(c) The expressions for the derivative in (a) and (b) are the same

From the question, we are to determine the derivative of the given polynomial.

The given polynomial is f(x) = (x² + 2)(4x - 3)

(a) By expanding the polynomial, we get

f(x) = (x² + 2)(4x - 3)

f(x) = x²(4x - 3) +2(4x - 3)

f(x) = 4x³ - 3x² + 8x - 6

∴ f'(x) = 12x² - 6x + 8

(b) By using the product rule

f(x) = (x² + 2)(4x - 3)

g(x) = x² + 2

and

h(x) = 4x - 3

Thus,

g'(x) = 2x

h'(x) = 4

From the product rule

f'(x) = g(x).h'(x) + h(x).g'(x)

f'(x) = (x² + 2)(4) + (4x - 3)(2x)

f'(x) = 4x² + 8 + 8x² - 6x

Collect like terms

f'(x) = 4x² + 8x² - 6x + 8

∴ f'(x) = 12x² - 6x + 8

(c) The expressions are the same

Hence,

The derivative is f'(x) = 12x² - 6x + 8

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Answer:

Step-by-step explanation:

Given:

<RPS = 35

<PAQ = 130

Solution:  

If <PAQ = 130 then <QAR =50  

because they are a linear pair that add to 180

<QAR = mQR = 50

mRS = 2(<RPS)                    >inscribed angle

mRS = 2(35)

mRS = 70

<PAQ = 130

<PAQ = mPQ

<PSQ = 1/2 (mPQ)                     >inscribed angle

<PSQ = 1/2 (130)

<PSQ = 65

<PBS = 180 - <RPQ - PSQ             >triangle

<PBS = 180 - 35-65

<PBS = 80

<PBS = <QBR                               >vertical angles

<QBR = 80

<ABQ = 180- <QBR                      >linear pair

<ABQ = 180 - 80

<ABQ= 100

<AQB = 180 - <ABQ - <QAR             >triangle

<AQB = 180 -100 - 50

<AQB = 30

<AQB = <AQS

<AQS =30

mRS = 70

mPS = 180-mRS                         180 for semicircle

mPS = 180 - 70

mPS = 110

calculate the length of the adjacent sides to 31 and 43 degrees, of the given traingles (these are the heights), as follow:

The difference in the heights is:

h2 - h1 = 409.5 - 364.3 = 45.2

Hence, the answer is 45.2 meters

After the stock split, I would have 7500 shares

A stock split is a method by which a company increases the number of its shares outstanding. A stock split leads to a fall in the price per share of the company. A stock split does not have any effect on the market capitalisation of a firm.

A five for one split means that for every one stock a shareholder owns, it is multiplied by 5

Number of stocks a shareholder has after a 5-for-1 stock split = 5 x number of stocks the shareholder had before the split

5 x 1500 = 7500 shares

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The slope of the line passing through (-4,5) and (-7,8) is -1.

Slope of line is the ratio of change in y-coordinate with the change in x-coordinate. It measures the steepness and direction of the line with x-axis (non vertical line.

Slope of line passing through two points (x₁,y₁) and (x₂,y₂) is given by

Slope of line = (y₂-y₁)/(x₂-x₁)

The given points are (-4,5) and (-7,8).

Here x₁ = -4, y₁ = 5

x₂ = -7, y₂ =8

Hence,

Slope of the line  = (8-5)/{-7-(-4)}

= (8-5)/(-7+4)

= 3/(-3)

= -3/3

= -1

The slope of line is given by -1.

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The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

In order to enhance strong number sense in children, there are various methods that can be used.

In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.

Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.

This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.

Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:

1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.

2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.

3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.

Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

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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:

a. D

b. C

Step-by-step explanation:

a. to find the x intercept substitute in 0 for y and solve for x. to find the y-intercept substitute in 0 for x and solve for y.

b. solve for x

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer:

Step-by-step explanation:

Given:

Since BC is opposite to right angle, AC is the missing leg.

Find AC using Pythagorean:

Answer:

I see no picture

Answer:

92%

Step-by-step explanation:

Answer:

Liquidity management refers to a set of processes, strategies, and supporting mechanisms/tools that ensure a business or bank is able to access cash when and where it is needed. This cash could be used to pay for goods and services, payroll, debt repayment, or new investment opportunities

Step-by-step explanation:

1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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Answer:

100

Step-by-step explanation:

10 times 10 is 100

You can add10 ten times to get the answer.

Answer:

100

Step-by-step explanation:

For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

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The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Answer:

$5

Step-by-step explanation:

Conditions

In the currency bills are printed as : $1, $5, $10, $20, $50, $100

Hence, the largest amount he could give the woman is $5

The solution to the system of inequalities is the shaded area shown in the graph. This also includes the bounding lines of the shaded area since they are all solid lines.

To find the answer, we will check the coordinates provided in the options to see which falls within the shaded portion.

On observation, we can see that the following coordinates fall within the shaded area:

The correct options are OPTION 3 and OPTION 4.

Answer:

it is so easy

x=3

y=4

so

3×3+1=10

4×4×2=32

(:

We could say 18 + 6 = 2(9+3) as one example

Or 18+6 = 3(6+2) as another example

Or 18+6 = 6(3+1) as another example

There are few approaches so it depends on what answer choices you are given.

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Answer:

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then

y = \(\frac{4}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 ) , then

6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line

Answer:

455

Step-by-step explanation:

multiply the width by the length

Given the sample table below:

Total number of teenagers that get less than 8 hours of sleep each school night

Sample #1:

The number of teenagers that get less than 8 hours of sleep each night include the sum of teenagers that get less than 4 hours, teenagers that get between 4 and 6 hours, teenagers that get between 6 and 8 hours.

Thus, we have

Sample #2:

Thus, we have

Percentage of teenagers that get between 4 and 10 hours of sleep each school night

ample #1:

The total number of teenagers that get between 4 and 10 hours of sleep is evaluated to be

Thus, the percentage becomes

Sample #2:

Hence, based on the result of the survey,

About half of the teenagers get less than 8 hours of sleep each school night,

More than 90% of teenagers get between 4 and 10 hours of sleep each school night.