Problem Frequency A. Topping is stuck to box lid B. Pizza arrives late C. Wrong topping or combination D. Wrong style of crust E. Wrong size F. Pizza is partially eaten G. Pizza never arrives

Answer:

Simplifying

(4 + 2k) * 6 + 3k = 0

Reorder the terms for easier multiplication:

6(4 + 2k) + 3k = 0

(4 * 6 + 2k * 6) + 3k = 0

(24 + 12k) + 3k = 0

Combine like terms: 12k + 3k = 15k

24 + 15k = 0

Solving

24 + 15k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 15k = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 15k = 0 + -24

15k = 0 + -24

Combine like terms: 0 + -24 = -24

15k = -24

Divide each side by '15'.

k = -1.6

Simplifying

k = -1.6

Step-by-step explanation:

Answer:

1000 tiles required.

explanation:

Tiles dimension:

Floor dimension:

Area of floor:

Length * Width

50 * 40

2000 m²

Area of each tile:

Length * Width

1 * 2

2 m²

Number of tiles required = Area of floor ÷ Area of each tile

→ tiles = 2000/2

→ tiles = 1000

See below.

1000

area of rectangle = width x length

Given: width of floor = 40 m length of floor = 50 m ⇒ area of floor = 40 x 50 = 2000 m²

width of tile = 1 m length of tile = 2 m ⇒ area of tile = 1 x 2 = 2 m² Number of tiles needed = area of floor ÷ area of one tile                                        = 2000 ÷ 2                                        = 1000

I tried.

The numbers that represent A, B and C in the table for the cubic functions are: A = -12, B = -9 and C = 8

In mathematics, a cubic function is defined as a function of the form f(x) = ax³ + bx² + cx + d.

Where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. This means that, it is both a polynomial function of degree three, and a real function.

We are given the expression:

y = 3x³ + x² - 7x - 6

When x = -2, we have:

y = 3(-2)³ + (-2)² - 7(-2) - 6

y = -24 + 4 + 14 - 6

y = -12

When x = 1, we have:

y = 3(1)³ + (1)² - 7(1) - 6

y = 3 + 1 - 13

y = -9

When x = 2, we have:

y = 3(2)³ + (2)² - 7(2) - 6

y = 24 + 4 - 14 - 6

y = 8

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A manual filer is 400 times more likely to make an error than an electronic filer. c. 400 times more likely.

To determine more likely a manual filer is to make an error compared to an electronic filer, compare the error rates for each method.

Given:

Error rate for manual filers = 20% = 0.20

Error rate for electronic filers = 0.05% = 0.0005

To find the relative likelihood, the error rate of manual filers by the error rate of electronic filers:

Relative likelihood = (Error rate for manual filers) / (Error rate for electronic filers)

Relative likelihood = 0.20 / 0.0005

Relative likelihood = 400

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Answer:

23%

Step-by-step explanation:

Answer:

23 %

Step-by-step explanation:

The total money earned:

124+ 30+ 46 =200

Percent earned babysitting

money earned babysitting / total * 100%

46/200 * 100 = 23 %

Hey there!

Fact: Usually whenever you see the “-th” in word-form in mathematics we know the result will have a decimal in it!

Since you have the “-th” in your problem we know it’ll have a decimal

Now let’s start solving!

8 would be in your ONES place

.

7 would be in your TENTHS place

4 would be in your HUNDREDTHS place

Your answer SHOULD look like this: 8.74 ☑️

Note: ALWAYS check your wording in problems. It’ll come easier to you!

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

To generate a series of 100 numbers uniformly distributed in the interval [0,1] using a linear congruential generator, we can use the parameters a = 41, c = 33, m = 100, and Z0 = 48.

A linear congruential generator is a simple method for generating pseudo-random numbers. It uses a recurrence relation of the form Zₙ₊₁ = (aZₙ + c) mod m, where Zₙ is the current random number, a is a multiplier, c is an increment, and m is the modulus. In this case, we start with an initial seed value of Z0 = 48 and generate subsequent numbers using the given parameters. To compute the mean and standard deviation of the generated series, we calculate the sample mean and sample standard deviation of the 100 numbers. The sample mean is the average of the numbers, while the sample standard deviation measures the spread or dispersion of the numbers around the mean. We can then compare these computed values with the expected theoretical values for a continuous uniform distribution on the interval [0,1]. The theoretical mean of a continuous uniform distribution is (a + b) / 2, where a and b are the endpoints of the interval. In this case, the mean is (0 + 1) / 2 = 0.5. The theoretical standard deviation of a continuous uniform distribution is (b - a) / sqrt(12), which for the interval [0,1] is 1 / sqrt(12) ≈ 0.2887. Any differences between the computed and theoretical mean and standard deviation may arise due to the nature of pseudo-random number generation. Linear congruential generators are deterministic and have certain limitations in terms of randomness. Deviations from the expected theoretical values can be attributed to the algorithm used and the chosen parameters. If the generated numbers deviate significantly from the expected mean and standard deviation, it may indicate that the linear congruential generator is not adequately simulating a continuous uniform distribution.

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Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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The best option for the car deal is option B.

The composite function represented by g(f(x)) = 0.9(x - 2000), is option a.

The best possible deal for the car is determined from the final price in each case.

If you apply $2000 first, then the price becomes

= $22,500 - $2000

= $20,500

Then apply 10% discount, the final price becomes;

= (100% - 10%) x  $20,500

= 0.9 x  $20,500

= $18,450

For option b, we will apply the 10% discount first,;

=  (100% - 10%) x  $22,500

= 0.9 x $22,500

= $ 20,250

The apply a rebate of $2000, the final price becomes;

= $ 20,250 - $2,000

= $18,250

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Open circle and move to the left.

Answer:

Angle F

Step-by-step explanation:

They have the same degrees

The figure is cut by a plane containing its altitude and perpendicular to its base, the cross-section formed is (A) Triangle.

When a triangular pyramid is cut by a plane containing its altitude and perpendicular to its base, the resulting cross-section will be a triangle.

To understand why, let's visualize the pyramid. A triangular pyramid has a base that is a triangle and three triangular faces that converge at a single point called the apex.

The altitude of the pyramid is a line segment that connects the apex to the base, perpendicular to the base.

When we cut the pyramid with a plane containing its altitude and perpendicular to its base, the plane will intersect the pyramid along its height.

This means that the resulting cross-section will be a slice that is perpendicular to the base and parallel to the other two triangular faces.

Since the base of the pyramid is a triangle, and the plane cuts through it perpendicularly, the resulting cross-section will also be a triangle.

The shape of the cross-section will be similar to the base triangle of the pyramid, with the same number of sides and angles.

Therefore, the correct answer is a. Triangle.

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Answer:

13%, 1/8, 1/9, 0.10  13>1/8>1/9>0.10

Step-by-step explanation:

Answer:

x = 6.

QU = 9.5.

Step-by-step explanation:

RVZW is a kite

as ZU = 12 and ZV = 12 and V<RVZ and < RUZ are both right angles.

Therefore RU = RV.

As the radii ZW and ZY are at right angles to the chords RS and RQ they cut them in half so RS = RQ so:

3x + 1 = 19

3x = 18

x = 6.

QU = 1/2 * 19

= 9.5

The value of a is 1/8, b is \(\frac{1}{9^{-3} }\) and c is 1

To find the value of each variable that makes each equation true, we need to solve each equation for the value of the variable.

For the first equation, 8a = 1, we can solve for a by dividing both sides by 8:

a = 1/8

So, the value of a that makes this equation true is 1/8.

For the second equation, \(9^{4} *9^{-6}\)=9b, we can simplify the expression on the left side of the equation:

\(9^{4} *9^{-6}\)=9b

\(\frac{9^{4} }{9^{6} }\) = 9b

\(9^{-2}\) = 9b

b = \(\frac{1}{9^{-3} }\)

For the third equation, 5³/5² = 5c, we can simplify the left side of the equation using the property of exponents that says that the quotient of powers with the same base is equal to the base raised to the power of the difference of the exponents:

5³/5² = \(5^{(3-2)}\)= 5

Then, we can set the left side of the equation equal to 5c and solve for c:

5 = 5c

1 = c

So, the value of c that makes this equation true is 1.

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We need to calculate the rate at which Colton read pages per hour. To do that, we need to divide the number of pages he read by the time it took him.

Let's use the given information to calculate the rate at which he read:

Rate of reading pages per hour = Number of pages ÷ Time taken

We are given that Colton read 27 pages in 1 1/5 hours.

First, we need to convert 1 1/5 hours to an improper fraction as shown below:

1 1/5 = (5 × 1 + 1) / 5

= 6/5

Now we can substitute the given values in the formula:

Rate of reading pages per hour= Number of pages ÷ Time taken

= 27 / (6/5)

= 27 × 5/6

= 22.5

Colton read at a rate of 22.5 pages per hour.

Therefore, the correct answer is 22.5.

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The derivatives of the following functions are

1. Derivative of the f(x) = log8(x) is f'(x) = (1 / x) * (1 / ln(8)).

2. Derivative of the h(x) = log5(x + 9) is h'(x) = (1 / (x + 9)) * (1 / ln(5)).

3. Derivative of the h(x) = e^x^8 − x + 3 is h'(x) = e^(x^8 - x + 3) * (8x^7 - 1).

4. Derivative of the g(x) = 2^x is g'(x) = 2^x * ln(2).

1. For the function f(x) = log8(x), find its derivative:
To find the derivative of f(x) with respect to x, we can use the change of base formula for logarithms and the chain rule:
f(x) = log8(x) = ln(x) / ln(8)
f'(x) = (1 / x) * (1 / ln(8))

2. For the function h(x) = log5(x + 9), find its derivative:
Similar to the previous function, use the change of base formula and the chain rule:
h(x) = log5(x + 9) = ln(x + 9) / ln(5)
h'(x) = (1 / (x + 9)) * (1 / ln(5))

3. For the function h(x) = e^(x^8 − x + 3), find its derivative:
Apply the chain rule:
h'(x) = e^(x^8 - x + 3) * (8x^7 - 1)

4. For the function g(x) = 2^x, find its derivative:
Use the exponential rule and the chain rule:
g'(x) = 2^x * ln(2)

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Answer:

50%

Step-by-step explanation:

Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.

Answer: 50%

Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.

Answer:

280.8 pounds

Step-by-step explanation:

Original weight of pig = 54 pounds

Percentage increase in weight = 420%

Current weight of pig = original weight + 420% of original weight

= 54 + 420% of 54

= 54 + 420/100 * 54

= 54 + 4.2 * 54

= 54 + 226.8

= 280.8 pounds

Current weight of pig = 280.8 pounds

The phone's usage patterns, network coverage, and background apps can also affect its battery life, so it is important to keep these in mind as well.

Based on the information provided in part (d), we can see that the iPhone 12 Pro Max has a larger battery capacity than the iPhone SE (2020), which should theoretically give it a longer battery life. However, the battery life of a phone also depends on other factors such as the screen size, processor efficiency, and overall power consumption of the device.

Unfortunately, we do not have specific information about the battery life of these phones, so we cannot definitively say which one is better for someone looking for a phone with a battery life between 18 and 22 hours. It is possible that both phones could meet this requirement, but it ultimately depends on how the user utilizes their phone.

In general, it is recommended to check the battery life specifications and reviews of a phone before making a purchase decision, as this can help provide a better understanding of its battery performance. Additionally, factors such as the phone's usage patterns, network coverage, and background apps can also affect its battery life, so it is important to keep these in mind as well.

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The exact value of the series ∑n=0infinitynπ^2n/(16^2n * (2n+1)!) is approximately -0.190985.

To find the exact value of the series, we need to evaluate each term and sum them up. Starting with the given expression, we have (-1)^n * π^(2n) / (16^(2n) * (2n+1)!). Breaking down each term, we have (-1)^n, π^(2n), 16^(2n), and (2n+1)!.

The term (-1)^n represents alternating signs, where it alternates between positive and negative for each value of n. The term π^(2n) represents π raised to the power of 2n. The term 16^(2n) represents 16 raised to the power of 2n. The term (2n+1)! represents the factorial of 2n+1.

By substituting the values of each term into the given expression and summing them up from n = 0 to infinity, we can approximate the value to be approximately -0.190985.

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Answer:

y = 3x - 5

Step-by-step explanation:

To find the equation of the line, you can use y = m x + c.

Here,

m ⇒ slope

c ⇒ y-intercept

Given that,

slope = 3

y-intercept = -5

So, to find the equation of the line you have to simply replace m and c in the formula, (y = m x + c )with the given slope and y-intercept.

Let us solve it now.

y = m x + c

y = 3x - 5

Answer:

y = 3x - 5

Step-by-step explanation:

Slope-intercept form of an equation

Given that m = 3 and b = -5

Answer:

Step-by-step explanation:

"On a farm, there are some cows and birds."

c and b are the number of cows and birds, respectively.

"There are 35 total heads"

c+b = 35

b = 35-c

"110 total legs."

4c + 2b = 110

4c + 2(35-c) = 110

4c + 70 - 2c = 110

2c = 40

c = 20

b = 35-c = 15

20 cows and 15 birds.

Answer:

-\(\frac{1}{4}x\) + y = -2

Step-by-step explanation:

Standard form: Ax + By = C

y + 2 = \(\frac{1}{4} x\)

Rearrange terms:

1. Subtract 2 from both sides

y =  \(\frac{1}{4} x\) - 2

2. Subtract  \(\frac{1}{4} x\) from both sides

-\(\frac{1}{4}x\) + y = -2

Answer:

y = 2x - 2

Step-by-step explanation:

Because the table.

Answer:

Step-by-step explanation:

y/2 = (x-1)/(2-1)

y/2 = x-1

y = 2x - 2

Answer:45

Step-by-step explanation: There’s 16 cups in a gallon and the car goes 4952 yards per cup. You have to multiply the equivalency of a gallon by the yards to get your total distance in yards. Then, you would have to divide your total in yards (79,232) by the yards in a mile (1760). Your ratio would be around 45 miles per gallon.

Answer:

c

Step-by-step explanation:

Khan Academy

Answer:

(0.309,0.359)

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

Expand:

2(z-5)+6z

2z - 10 + 6z

8z - 10