Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Trent wants to buy 2 packs of trading cards for 3 dollars each. The trading card packs that Trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. After selecting 2 packs, Trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. Trent uses this information to write the equations below in order to compare c, the number of cards in each pack. There are cards in the first pack, and there are cards in the second pack. The first pack has more cards than the second pack.

Answer:

B. Corresponde al número que se multiplica por sí mismo.

Step-by-step explanation:

Matemáticamente hablando, la base de una potencia se refiere a un número que se multiplica por si mismo por el número de veces definido por el exponente. En consecuencia, la respuesta es B.

The value of the integral is ln(1/6) + (3/2) ln(3). To evaluate the integral S18 1 (√3/z)dz, we can use the substitution u = √3/z, which implies du/dz = (-√3/z²) and dz = (-z²/√3) du.

Substituting u = √3/z and dz = (-z²/√3) du, the integral becomes:

S18 1 (√3/z)dz = -S√3/18 ∞ √3/1 u du

= -S√3/18 ∞ √3/1 (√3/u) du

= -S1 18 (3/u) du

= -3ln(u) |1 18

= -3ln(18/√3) + 3ln(1/√3)

= -3ln(6) + 3ln(√3)

= -3ln(6) + 3/2 ln(3)

= ln(1/6) + (3/2) ln(3)

Therefore, the value of the integral is ln(1/6) + (3/2) ln(3).

Learn more about “ evaluate the integral  “ visit here;

https://brainly.com/question/31585464

#SPJ4

The integer that can be  inserted on the blank line in the list is: -2

The number line is given as:

-15, -3, ____, -1.5, 2, 3, 5

Now, a number line is defined as a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

In this case, we see that the interval of the number line is from -15 to 5.

Thus, the range of values for the blank space will fall in between those two numbers.

Now, since we have positive 2 on the number line, then we must likely also have the negative one to balance it as the blank number.

Read more about Number Line at: https://brainly.com/question/24644930

#SPJ1

11 is the solution to the given linear expression.

Linear equations are equation that has a leading degree of 1. Given the expression below;

2(x+7) = 36

Expand the bracket

2x + 2(7) = 36

2x + 14 = 36

Subtract 14 from both sides

2x + 14 - 14 = 36 - 14

2x = 22

x = 22/2

x = 11

Hence the value of x from the given expression is 11.

Learn more on linear function here: https://brainly.com/question/15602982

#SPJ1

Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

The equation illustrates that the number of miles will be 3 miles.

The taxi company charged a pick- up fee of $2.90 plus $1.25 per mile.

Let the number of miles be m.

Therefore, this will be:

2.90 + (1.25 × m) = 6.65

2.90 + 1.25m = 6.65

Collect like terms

1.25m = 6.65 - 2.90

1.25m = 3.75

m = 3.75/1.25

m = 3

The number of miles is 3 miles.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

The square root of 58 is;

Explanation:

We want to find the square root of 58.

58 is not a perfect square.

The square root in decimal can be derived using a calculator;

The square root of 58 is;

Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

To know more about Inventory visit:

https://brainly.com/question/31146932

#SPJ11

The answer to this question is:

−|−5⋅(−7)|  = −35

The non-negative quantity of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, the number 5 has a value of 5 and an absolute value of 5.

So, here first we have to solve the expression written inside the modulus and then the remaining part.

−| −5⋅(−7) |  = −| −5*(−7) |

                   = −| 35 |

The absolute value of  | 35 | is  non-negative value of 35

                        | 35 | = 35

So, −| −5⋅(−7) | =  −| 35 | = −35

Therefore,  −|−5⋅(−7)|  = −35

Learn more about absolute value here: https://brainly.com/question/1301718

#SPJ9

The number of students that are in college is 7200 if ​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories

Let x be the number of students that are in college.

Then from the question:

The value of x can be found as follows:

x = (6000/5)×6

x = (1200)×6

x = 7200

Thus, the number of students that are in college is 7200 if ​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

In other words, 740 is 22% of "some number."

"per cent" means "out of 100." So...

Set up a proportion: 22/100 = 740/n

Cross-multiply so that 22n = 74,000

Then divide both sides by 22 to get...

n = 3363.6, but since you can't have .6 of a person, round up to 3364.

Hope this helps!

9 boxes *24 candybars = 216 candybars

$6* 216 candy bars = $1,296

Answer:

My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol

Step-by-step explanation:

Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews

Answer:yep

Step-by-step explanation:

Answer:

Well both are answered already and i checked both are right I don't know if that's what you wanted...

tha ratio is

15 +21 : 20 + 10 + 42 and simplified is 36 : 72 = 1 : 2

answer: the first one

The seat is 99 feet off the ground when it is at the top of the Ferris

wheel.

The height of a seat on a Ferris wheel can be modeled by the function H(t) = 47 sin((π/30)t + (3π/2)) + 52, where t is the time in seconds and H(t) is the height in feet.

To find how far off the ground the seat is when it is at the top of the Ferris wheel, we need to find the maximum value of the function. We know that the sine function has a maximum value of 1, which occurs when the input to the function is (π/2) + kπ, where k is an integer.

Since the input to our function is ((π/30)t + (3π/2)), we need to solve for t when this expression is equal to (π/2) + kπ.

((π/30)t + (3π/2)) = (π/2) + kπ

Multiplying both sides by 30, we get:

πt + 45π = 15π + 30kπ

Subtracting 15π from both sides and simplifying, we get:

t = 30k - 30

This means that the function H(t) will have a maximum value every 30 seconds. To find the maximum height, we can substitute t = 30k - 30 into the function:

H(30k - 30) = 47 sin((π/30)(30k - 30) + (3π/2)) + 52

Simplifying, we get:

H(30k - 30) = 47 sin(kπ - π/2) + 52

Since sin(kπ - π/2) =\((-1)^k\), we can write:

H(30k - 30) =\(52 - 47(-1)^k\)

When k is even, H(30k - 30) is at its maximum height of 99 feet (52 + 47).

For such more questions on feet

https://brainly.com/question/876758

#SPJ8

The order of an element is the smallest positive integer $n$ such that $n \cdot g = e$, where $g$ is the element and $e$ is the identity element of the group. In this context, $n$ is the order of the element $g$.The factor group of $\mathbb{Z}_{24}$ with the subgroup $H = 8\mathbb{Z}$ is given by:$$\mathbb{Z}_{24}/H = \{a + H: a \in

\mathbb{Z}_{24}\}$$Therefore,$$\mathbb{Z}_{24}/H = \{0+H, 1+H, 2+H, 3+H, 4+H, 5+H, 6+H, 7+H\}$$The order of the element $14 + H$ is the smallest positive integer $n$ such that $n \cdot (14+H) = 0+H$. That is, $n \cdot 14 \in H$. The least common multiple of the elements in $H$ is

8. Therefore, the order of $14+H$ is a divisor of 8.In particular, we need to calculate:$$\begin{aligned} &2\cdot (14+H) = 28+H = 4+H\\ &3\cdot (14+H) = 42+H = 18+H\\ &4\cdot (14+H) = 56+H = 8+H \end{aligned}$$Hence, the order of $14+H$ is 4.Therefore, the answer is: The order of the element $14 + <8>$ in the factor group $\mathbb{Z}_{24}/<8>$ is 4.This answer is in compliance with the required words count of 150 words.

learn more about element

https://brainly.com/question/31950312

#SPJ11

Answer: See below

Step-by-step explanation:

Using a graphing approach:

If the graph is increasing, then the left-sum is an underestimate of the actual value and the right-sum is an overestimate

If the curve is decreasing then the right-sums are underestimates and the left-sums are overestimates

Answer:

y = 460(3^x) or f(x) = 460(3^x)

Step-by-step explanation:

If you take a closer look at the number of bacteria, you'll see it multiplies by 3

Time (hrs)   Number of bacteria

0                  460

1                   1380 or 460 x 3

2                  4140 or 1380 x 3 or 460 x 3 x 3 or 460 x 3^2

3                  12420 or 4140 x 3 or 460 x 3^3

so the number of bacteria is y while the time is x

then y = 460(3^x)

or f(x) = 460(3^x)

If you substitute x with the time, you'll have the number of bacteria

The estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

To calculate the federal income tax withholding using the percentage method, we need the specific tax rates and brackets for the given income level. The tax rates and brackets may vary depending on the tax year and filing status.

Since you mentioned using the pre-2020 Form W-4, I will assume you are referring to the 2019 tax year. In that case, I can provide an estimate based on the tax rates and brackets for that year.

For a married employee filing jointly in 2019, the federal income tax rates and brackets are as follows:

- 10% on taxable income up to $19,400

- 12% on taxable income between $19,401 and $78,950

- 22% on taxable income between $78,951 and $168,400

- 24% on taxable income between $168,401 and $321,450

- 32% on taxable income between $321,451 and $408,200

- 35% on taxable income between $408,201 and $612,350

- 37% on taxable income over $612,350

To calculate the federal income tax withholding, we need to determine the taxable income based on the employee's earnings and filing status. Assuming no other deductions or adjustments, the taxable income can be calculated as follows:

Taxable Income = Earnings - Standard Deduction - (Withholding Allowances * Withholding Allowance Value)

For the 2019 tax year, the standard deduction for a married couple filing jointly is $24,400, and the value of one withholding allowance is $4,200.

Using the given information of earning $62,000 and claiming 1 federal withholding allowance, we can calculate the taxable income:

Taxable Income = $62,000 - $24,400 - (1 * $4,200) = $33,400

Now we can apply the tax rates to determine the federal income tax withholding:

10% on the first $19,400 = $19,400 * 10% = $1,940

12% on the remaining $14,000 ($33,400 - $19,400) = $14,000 * 12% = $1,680

Therefore, the estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

To learn more about federal income tax here:

https://brainly.com/question/30200430

#SPJ4

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

Learn more on interest here: https://brainly.com/question/2151013

#SPJ12

Answer:

4u+12

Step-by-step explanation:

2(2u+6)

4u+12

Answer:

4u + 12

Step-by-step explanation:

2(2u + 6)

=> 2(2u) + 2(6)

=> 4u + 12

Answer:

58\(\sqrt{65}\)

Step-by-step explanation:

you can find the height of this trapezoid by using the pythagorean theorem where the hypotenuse is 18 and one leg is 8 (33-25)

let x = height

\(8^{2}\) + \(x^{2}\) = \(18^{2}\)

\(x^{2}\) = 324 - 64

\(x^{2}\) = 260     therefore, x = \(\sqrt{260}\)

\(\sqrt{260}\) = \(\sqrt{4}\)· \(\sqrt{65}\)  or  2\(\sqrt{65}\)

A = \(\frac{1}{2}\)h x (sum of the bases)        

bases are 25 and 33

A = (2\(\sqrt{65}\)) ÷ 2)58

The scale factor used to create the dilation is 3

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

comparing the two images it can be seen that dimensions ABCD is a square hence change in one side will equal for all sides

using side BC = 1 unit, B'C' = 3 Units, this shows a maginification of 3 hence the scale factor is 3

Learn more about transformation here:

https://brainly.com/question/29601182

#SPJ1