Mr. Fox took 3,648 pieces of candy and divided it into treat bags of 14 pieces of candy each. How many treat bags was he able to make with the candy?

u didnt ask a question here you dummy thicc sassy block of cheesy

Manager 1, with 7 years of service, achieved an average daily sales of $5,000, maintained a high customer service rating of 5, and successfully completed 83% of projects on time Business involves the production, exchange, or provision of goods and services in pursuit of profit, contributing to economic growth and sustainability.

Manager 1's performance is evaluated based on several key metrics. First, their 7 years of service indicate experience and commitment to the company. Second, the daily sales average of $5,000 reflects their effectiveness in generating revenue. The customer service rating of 5 signifies exceptional customer satisfaction, indicating effective communication and problem-solving skills. Lastly, the 83% on-time project completion rate demonstrates efficiency in managing tasks and meeting deadlines. These attributes collectively suggest that Manager 1 is a valuable asset to the company, with a strong track record of delivering results and maintaining high standards of customer service.

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Answer:

The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Consequently, polynomials are closed under multiplication. Polynomials are NOT closed under division.

Step-by-step explanation:

Example

What's the degree of the following polynomials?

x2+x

The first monomial has a degree of 2 and the second monomial has a degree of 1. The highest degree is 2 which mean that the degree of the polynomial is 2.

x4+x2+x

4, 2 and 1 , the highest degree is 4 which mean that the degree of the polynomial is 4.

We can add and subtract polynomials. We just add or subtract the like terms to combine the two polynomials into one.

Final answer:

Polynomials form a closed system under both addition and subtraction, meaning the result will always be another polynomial. The basic principle is combining like terms, observing the order of operations and the signs of coefficients.

Explanation:

Polynomials are a closed system under addition and subtraction, just as whole numbers and integers are. This means that when you add or subtract polynomials, the result is always another polynomial. The basic principle in working with addition and subtraction is to combine like terms while paying attention to the signs of the coefficients. When working specifically with whole numbers, you pay attention to maintaining the properties of closure, commutativity (e.g. A + B = B + A), and associativity.

As an example, when adding the polynomials (2x2 + 3x + 1) and (x2 - 4x + 5), you combine like terms to get another polynomial: 3x2 - x + 6. Similarly, subtracting (x - 3) from (2x2 + x + 1) results in the polynomial 2x2 - 2. The resulting expressions following these operations remain as polynomials, not turning into integers or any other type of number.

the correct answer would be 46°

It would be 46° but since there is an x = ? The "?" would be replaced with 46°

I hope this helps! ^^ You can just put 46° For your answer.

The term (wor)(x) is unclear and needs clarification to accurately find the range. If it refers to the composition of the two functions (w◦r)(x) or (r◦w)(x), different ranges can be obtained.

To find the range of (w or r)(x), we first need to evaluate this expression. Our given functions are r(x) = 2 - x² and w(x) = x - 2.

However, the function (wor)(x) is not clearly defined in this case since the term "or" does not have a traditional mathematical operation associated with it in this context. This question may well be referring to the composition of the two functions (w◦r)(x) or (r◦w)(x), but without clear instruction, a definitive answer cannot be given.

If it refers to (w◦r)(x), this means w(r(x)) which equals w(2-x²) = (2 - x²) - 2 = -x².

If it refers to (r◦w)(x), this means r(w(x)) = r(x-2) = 2 - (x - 2)².

Each of these composited functions would have a different range. Please clarify the meaning of (wor)(x) so a definitive answer can be provided.

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Answer:

(3y + 4)(y + 1)

Step-by-step explanation:

3y^2 +7y + 4

a = 3, b = 7 and c = 4

ac = 3 x 4 = 12

The products of 12 = 3 and 4 and sum of 3 and 4 = 7

So

3y^2 +7y + 4

= 3y^2 + 3y + 4y + 4

= 3y(y + 1) + 4(y + 1)

= (3y + 4)(y + 1)

Answer

(3y + 4)(y + 1)

Answer:

So the factors are (y + 1)(y + 4/3)

Step-by-step explanation:

Given in the question an equation

3y² + 7y + 4

To find it's factor we will use quadratic formula

y = -b ± √(b²-4(a)(c)) / 2a

here a = 3

        b = 7

        c = 4

y1 = -7 + √(7²- 4(3)(4)) / 2(3)

   = -7 + √49 - 48 / 6

   = -7 + 1 /6

   = -6/6

   = -1

y2 = -7 - √(7²- 4(3)(4)) / 2(3)

   = -7 - √49 - 48 / 6

   = -7 - 1 /6

   = -8/6

   = -4/3

So the factors are (y + 1) and (y + 4/3)

The answer would be D. 24:56 because you are comparing the people who got bonus (24) to the people who didn't (56)

The expression [tex]\(q^3 - 125\)[/tex] can be completely factored as [tex]\((q - 5)(q^2 + 5q + 25)\)[/tex] using the difference of cubes formula, where [tex]\(q\)[/tex] is the variable and 5 is the cube root of 125.

The given expression [tex]\(q^3 - 125\)[/tex] can be factored using the difference of cubes formula, which is[tex]\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\)[/tex]. In this case, [tex]\(a = q\)[/tex] and [tex]\(b = 5\)[/tex], as [tex]\(125 = 5^3\)[/tex].

Applying the difference of cubes formula, the factorization becomes:

[tex]\[ q^3 - 125 = (q - 5)(q^2 + 5q + 25) \][/tex]

This is the complete factorization of [tex]\(q^3 - 125\).[/tex]

The question probable may be:

Factorize: [tex]q^3[/tex]-125

The expression q^3-125 is factored completely as (q - 5)(q^2 + 5q + 25), using the difference of cubes formula.

To factor the expression q^3-125 completely, we recognize that it represents a difference of cubes since 125 is a perfect cube (5^3).

The difference of cubes can be factored using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2). In our case, a = q and b = 5.

The factored form of the expression is therefore (q - 5)(q^2 + 5q + 25).

Remember that factoring expressions is essential for simplifying equations and solving algebraic problems efficiently.

Your horizontal value (x) is 3 because 5.5-2.5 = 3

Your vertical value (y) is 3.5 because 4.5-1 = 3.5

Pythagoras Theorem

[tex]c^{2}= \sqrt{a^{2}+b^{2}  }[/tex]

a = 3

b = 3.5

[tex]c^{2}= \sqrt{3^{2}+3.5^{2}  }[/tex]

c = 4.61 to 2d.p.

Answer: Step 1 : make a table with one side being f(x) and the other being g(x)

step 2 graph the equtaions

step 3: give the x value of point of intersection

Step-by-step explanation:

QUESTION 1

We want to find the slope through the points (12,-18), (11,12).

We use the slope formula,

[tex]m = \frac{y_2-y_1} {x _2-x_1} [/tex]

We substitute the points to get,

[tex]m = \frac{12 - - 18}{11 - 12} [/tex]

[tex]m = \frac{30}{ - 1} = - 30[/tex]

The slope is -30.

QUESTION 2.

We want to find the slope through the points (-18, -20), (-18, -15).

We use the slope formula again to obtain,

[tex]m = \frac{ - 15 - - 20}{ - 18 - - 18} [/tex]

We simplify to get;

[tex]m = \frac{5}{0} [/tex]

Division by zero means the slope is not defined.

QUESTION 3

The given equation is 4x + y = 5.

At x-intercept, y=0.

We put y=0 into the equation to get,

[tex]4x + 0 = 5[/tex]

[tex]4x = 5[/tex]

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

The x-intercept is

[tex]( \frac{5}{4} , 0)[/tex]

To find the y-intercept,we substitute x=0 into the equation to get,

[tex]4(0) + y = 5[/tex]

[tex]y = 5[/tex]

The y-intercept is (0,5)

QUESTION 4.

The given equation is

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

To find the y-intercept put x=0 into the equation.

[tex]y = 5(0) - 4[/tex]

[tex]y = - 4[/tex]

(0,-4)

To find the x-intercept, put y=0,

[tex]0 = 5x - 4[/tex]

[tex]4 = 5x[/tex]

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

[tex]( \frac{4}{5} ,0)[/tex]

QUESTION 5

To find the equation of a line given the slope m, and a point

[tex](x_1,y_1) [/tex]

we use the formula,

[tex]y-y_1=m(x-x_1)[/tex]

The given line has slope zero and passes through

(3,4)

The equation is

[tex]y - 4 = 0(x - 3)[/tex]

[tex]y - 4 = 0[/tex]

[tex]y = 4[/tex]

Question 6

The given equation is

[tex]x = 1[/tex]

This is the equation of a line that is parallel to the y-axis.

The slope of all lines parallel to the x-axis is undefined.

The slope of x=1 is not defined.

B would be the correct answer

Answer:

k12 wrap up

Step-by-step explanation:

1.549756

2. 6 months

3. 194766

4. 2037

5. 33mg

first blank- zero (0)

second balnk- the prime number

Answer:A prime number is a whole number greater than one whose only factors are 1 and itself

3/4 *40 =30.

So 30 cars have in state license

To find how many cars have in-state license plates, multiply the total number of cars (40) by the fraction (3/4). The answer is 30 cars have in-state license plates.

To find the number of cars with in-state license plates, we need to calculate 3/4 of the total number of cars in the parking lot.

Therefore, 30 cars in the parking lot have in-state license plates.

Correct question :

The parking lot has 40 cars and 3/4 of the cars have in-state license plates. How many cars have in-state license plates?

Answer:

150, 150, 270

Step-by-step explanation:

let the congruent sides be x, then

the third side is 2x - 30 ( 30 shorter than twice the congruent sides )

The perimeter = 570, hence

x + x + 2x - 30 = 570

4x - 30 = 570 ( add 30 to both sides )

4x = 600 ( divide both sides by 4 )

x = 150

2x - 30 = (2 × 150) - 30 = 300 - 30 = 270

The length of the 3 sides are 150, 150 and 270

Answer:338

Step-by-step explanation:

169/2 = 84.5 (base is 84.5) 84.5 * 4 (sides) = 338

The perimeter of the square base is: 4 x 13 ft = 52 ft.

To find the perimeter of the square base of the pyramid, we first need to determine the length of one side of the square. Since the area of the square base is given as 169 square feet, we calculate the side length by taking the square root of the area.

The square root of 169 ft2 is 13 ft. Because a square has four equal sides, the perimeter of the square base is 4 times the length of one side.

Therefore, the perimeter of the square base is: 4 x 13 ft = 52 ft.

The salary of the real estate broker = $18,000

Commission earned on total sales = 4% or 0.04

Total income earnings = $55,000

Let the total sales be = x

Equation becomes :

[tex]18000+0.04x=55000[/tex]

[tex]0.04x=55000-18000[/tex]

[tex]0.04x=37000[/tex]

[tex]x=925000[/tex]

Hence, the real estate broker must sell $925,000 worth of real estate to earn $55,000.

[tex] \frac{5 - \sqrt{2} }{ \sqrt{3} } \\ \\ = \frac{5 - \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{(5 - \sqrt{2} ) \sqrt{3} }{( { \sqrt{3} )}^{2} } \\ \\ = \frac{5 \sqrt{3} - \sqrt{6} }{3} [/tex]

The smallest positive integer [tex]a[/tex] greater than 1000 such that [tex]\sqrt{a} - \sqrt{a-x}[/tex] has a rational root is [tex]a = 1024[/tex].

To find the smallest positive integer [tex]a[/tex] greater than 1000 such that the equation [tex]\sqrt{a} - \sqrt{a-x} = 0[/tex] has a rational root, we need to analyze the condition given in the equation.  

We start from the original equation:
[tex]\sqrt{a} - \sqrt{a-x} = 0[/tex]
This implies that:
[tex]\sqrt{a} = \sqrt{a-x}[/tex]

Squaring both sides will remove the square root:
[tex]a = a - x[/tex]
So, we simplify this to:
[tex]x = 0[/tex]

In this case, it suggests that for the equation to have a rational root, [tex]x[/tex] must be equal to zero, which is a trivial case and not within the scope of finding a number greater than 1000.  

Next, we need to find conditions under which [tex]\sqrt{a} - \sqrt{a-x}[/tex] has non-trivial rational roots. We realize that for other values of [tex]x[/tex], the right-hand side requires that [tex]a - x[/tex] must also be a perfect square in order for [tex]\sqrt{a-x}[/tex] to yield a rational number.  

Assume [tex]a = n^2[/tex] where [tex]n[/tex] is any integer. Therefore:
[tex]\sqrt{a} = n[/tex]
Then we rewrite the original equation in terms of a new term, say [tex]m[/tex], where:
[tex]a - x = m^2[/tex]
Substituting this, we find that:
[tex]n^2 - m^2 = x[/tex]

This indicates that [tex]x[/tex] must also be a perfect square if we want to maintain the rationality in all cases.  

We need to follow this procedure to find the smallest positive integer greater than 1000:  

While checking values yields rational results, the lowest value of [tex]a[/tex] that successfully gives a rational root while being above 1000 appears to be [tex]1024[/tex].

The length of the missing side is √445 meters.

For a right triangle, the Pythagorean theorem states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides (the legs).

In this case, we are given the lengths of the two legs, which are 11 meters and 18 meters. We need to find the length of the hypotenuse, which is the missing side.

Steps to solve:

Step 1: Substitute the given values into the Pythagorean theorem:

[tex]a^2 + b^2 = c^2[/tex]

where:

a = 11 meters (shorter leg)

b = 18 meters (longer leg)

c = the missing side (hypotenuse)

Step 2: Evaluate the equation:

[tex]11^2 + 18^2[/tex]= [tex]c^2[/tex]

121 + 324 = [tex]c^2[/tex]

445 = [tex]c^2[/tex]

Step 3: Take the square root of both sides to solve for c:

c = √445

The length of the missing side is √445 meters

Answer:

A) μ = 91.2; σ = 9.3

B) No

Step-by-step explanation:

To find the mean, μ, we use the formula

μ = np, where n is the sample size and p is the probability of success (percentage of times the letter is used).

This gives us

μ = 0.057(1600) = 91.2

To find the standard deviation, we use the formula

σ = √(np(1-p)

This gives us

σ = √(1600×0.057×(1-0.057))

= √(1600×0.057×0.943) = √86.0016 = 9.2737 ≈ 9.3≈

Any value that is more than two standard deviations from the mean is considered unusual.  The value 102 is

(102-91.2)/9.3 = 10.8/9.3 = 1.16 standard deviations from the mean.  This is not statistically unusual.

Calculations were made based on standard English language letter frequencies to establish a mean and a standard deviation for a set number of letters. In this example, an occurrence was not considered unusual as it was within one standard deviation of the mean.

The subject revolves around probability and statistics and involves the calculation of the mean and standard deviation, and understanding of what might be considered an unusual result in a statistical sense.

In standard English text, a particular letter is used at a rate of 5.7%. This means on average, the letter will appear approximately 5.7% of the time. If each page consists of 1600 characters, then the mean (Μ) number of times that this letter will appear on a page can be calculated by multiplying the total characters by the usage rate (1600 * 0.057 = 91.2).

The standard deviation (sigma) is given as 9.3. This measure shows the dispersion or how spread out the numbers are from the mean.

In the intercepted message, the letter occurred 102 times. To determine if this is unusual, we look at how many standard deviations away from the mean this number falls. If it falls within 2 standard deviations (2 * 9.3 = 18.6) of the mean, it is not unusual. 102 is approximately one standard deviation above the mean (102 - 91.2 = 10.8), therefore, it is not considered an unusual occurrence.

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answer X>-3 step by step explaination: change the signs of 5 move the constant to the right side cancel out the 5's -2 plus 5 is three so X>3 the third one

X>-3 change the signs of 5 move the it to the right side mark out the 5's -2 plus 5 is three so X>3 the third one

Answer:

  A.  slope = -2; point = (8, -3)

Step-by-step explanation:

Compare to the point-slope form for slope m and point (h, k).

  y -k = m(x -h)

You see that k = -3, m = -2, h = 8, so ...

It would be D. Because K represents the up or down part of the graph. The formula for parents function is (x+ or -h) +or-k. It does not show h being applied to the main point.

I hope this helps

The graph in blue is y = |x|-4 which is the result of shifting y = |x| four units down. The parent graph has the vertex at (0,0).

Answer:

Step-by-step explanation:

One number would be

9.31

The 3 in this number is 3/10

The 3 in the given number is 3/100

3/10 is 10 times bigger than 3/100

3/10 = 0.3

3/100 = 0.03

0.03 * x = 0.3                   Divide both sides by 0.03

0.03/0.03 x = 0.3/0.03

x = 10

Answer:

Option C.

Step-by-step explanation:

we have

[tex]y=5x-3[/tex] -----> equation of a line with slope [tex]m=5[/tex]

Is changed to

[tex]y=(1/5)x-3[/tex] ----> equation of a line with slope [tex]m=1/5[/tex]

Compare the slopes

The slope becomes smaller

therefore

The line becomes less steep

see the attached figure to better understand the problem

In the equation x is the feet of width.

If the original width is 2 feet, then X^2 = 2^2 = 4

If the width changes to 4 feet, then x^2 becomes 4^2 = 16

The change is 16 - 4 = 12

The answer should be B. $12 per foot.

Answer:

Option B is correct.

Step-by-step explanation:

Given the function which represent the total cost in dollars to build a boxed garden that is x feet wide.

[tex]C(x)=2x^2+32[/tex]

we have to find the average rate of change in the total cost to build the boxed garden as the width increases from 2 feet to 4 feet.

[tex]C(2)=2(2)^2+32=8+32=40[/tex]

[tex]C(4)=2(4)^2+32=32+32=64[/tex]

[tex]\text{Average rate of change=}\frac{C(4)-C(2)}{4-2}[/tex]

[tex]=\frac{64-40}{2}=\frac{24}{2}=$12 per foot[/tex]

Hence, option B is correct.

Answer:  x = 2

Step-by-step explanation:

[tex]2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}[/tex]

********************************************************************************

Answer:  x = 0

Step-by-step explanation:

[tex]3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}[/tex]

********************************************************************************

Answer:  No Solution

Step-by-step explanation:

[tex]4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}[/tex]

********************************************************************************

Answer:  No Solution

Step-by-step explanation:

[tex]9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}[/tex]

Answer:

Step-by-step explanation:

The answer is true because AB intersects with AC at point A

The answer is True because they both cross over a line

Answer:

The value that separates the bottom 4% is -1.75; the 40th percentile is D. -0.25 degrees; Q3 is A. 0.67 degrees.

Step-by-step explanation:

The bottom 4% has a probability of 4% = 4/100 = 0.04.  Using a z-table, we find the value closest to 0.04 in the cells of the chart; this is 0.0401.  This corresponds to a z value of -1.75.  

The formula for a z score is

[tex]z=\frac{X-\mu}{\sigma}[/tex]

Substituting our values for z, the mean and the standard deviation, we have

-1.75 = (X-0)/1

X-0 = X, and X/1 = X; this gives us

-1.75 = X.

The 40th percentile is the value that is greater than 40% of the other data values.  This means it has a probability of 0.40.  Using a z-table, we find the value closest to 0.40 in the cells of the chart; this is 0.4013.  This corresponds to a z value of -0.25.

Substituting this into our formula for a z score along with our values for the mean and the standard deviation,

-0.25 = (X-0)/1

X-0 = X, and X/1 = X; this gives us

-0.25 = X.

Q3 is the same as the 75th percentile.  This means it has a probability of 0.75.  Using a z-table, we find the value closest to 0.75 in the cells of the chart; this is 0.7486.  This corresponds to a z value of 0.67.

Substituting this into our z score formula along with our values for the mean and the standard deviation,

0.67 = (X-0)/1

X-0 = X and X/1 = X; this gives us

0.67 = X.

Using the normal distribution, it is found that:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The temperature reading that separates the bottom​ 4% from the others is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.75 = \frac{X - 0}{1}[/tex]

[tex]X = -1.75[/tex]

The temperature reading that separates the bottom​ 4% from the others is -1.75 ºC.

The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.25.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.25 = \frac{X - 0}{1}[/tex]

[tex]X = -0.25[/tex]

The 40th percentile is of -0.25 ºC, option D.

The third quartile is the 75th percentile, as [tex]\frac{3}{4}100 = 75[/tex], which is X when Z has a p-value of 0.75, so X when Z = 0.67.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.67 = \frac{X - 0}{1}[/tex]

[tex]X = 0.67[/tex]

The third quartile is of 0.67 ºC, option A.

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