Arlene buys a phone case and charging cord for 15% off. The original cost of the phone case is $18. Her total discount is $4.20.


Write and solve an equation to find the original price of the charging cord, x.

Answer:

There were 120 marbles to start

Step-by-step explanation:

Let x be the number of marbles at the start

x* 5/12 = number of marbles given away

1 -5/12 = 7/12 = fraction of marbles left

x * 7/12 = number of marbles left

x * 7/12 = 70

Multiply each side by 12/7

x *7/12 * 12/7 = 70 * 12/7

x =120

There were 120 marbles to start

The inverse of the function f(x) = 1/4(x - 1)⁴ - 2 is y = ∛√(4(x + 2)) + 1.

The inverse of the function f(x) = 1/4(x - 1)⁴ - 2, we can follow these steps:

Replace f(x) with y:

y = 1/4(x - 1)⁴ - 2

Swap x and y:

x = 1/4(y - 1)⁴ - 2

Solve for y:

4(x + 2) = (y - 1)⁴

Take the fourth root of both sides:

∛√(4(x + 2)) = y - 1

Add 1 to both sides to isolate y:

y = ∛√(4(x + 2)) + 1

Hence, the inverse of the function f(x) = 1/4(x - 1)⁴ - 2 is given by y = ∛√(4(x + 2)) + 1.

To verify the inverse, we can compose the original function with its inverse:

f(f⁽⁻¹⁾(x)) = 1/4((∛√(4(x + 2)) + 1) - 1)⁴ - 2

Simplifying further:

= 1/4(∛√(4(x + 2)))⁴ - 2

= 1/4(√(4(x + 2)))² - 2

= 1/4(2(x + 2)) - 2

= 1/2(x + 2) - 2

= 1/2x + 1 - 2

= 1/2x - 1

The composition of the original function with its inverse results in the identity function.

This confirms that the inverse function undoes the action of the original function.

The inverse of the function f(x) = 1/4(x - 1)^4 - 2 is y = ∛√(4(x + 2)) + 1.

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The cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

To determine the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, we need to calculate the net cash flow.

Given information:

Cost of the pizza oven: $600

Expected lifespan: 10 years

Cash inflows: $880 per year for the next 5 years

Cash outflows: $240 per year for the next 5 years

Tax rate: 34%

Calculate the annual depreciation expense:

Depreciation Expense = Cost of the pizza oven / Expected lifespan

Depreciation Expense = $600 / 10 = $60 per year

Calculate the taxable income:

Taxable Income = Cash Inflows - Depreciation Expense - Cash Outflows

Taxable Income = $880 - $60 - $240 = $580

Calculate the tax amount:

Tax Amount = Taxable Income * Tax Rate

Tax Amount = $580 * 34% = $197.20

Calculate the net cash flow:

Net Cash Flow = Cash Inflows - Cash Outflows - Tax Amount

Net Cash Flow = $880 - $240 - $197.20 = $442.80

Therefore, the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

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The cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

To determine the cash flow for the pizza restaurant in the second year, we need to calculate the net cash flow by subtracting the total cash outflows from the total cash inflows, taking into account the tax rate.

Given:

Cost of the oven: $600

Expected life of the oven: 10 years

Cash inflows per year: $880

Cash outflows per year: $240

Tax rate: 34%

First, we calculate the annual depreciation expense using the straight-line method:

Depreciation expense per year = Cost of the oven / Expected life of the oven

Depreciation expense per year =\(\$600 / 10 = \$60\)

Next, we calculate the taxable income for each year:

Taxable income per year = Cash inflows per year - Depreciation expense per year - Cash outflows per year

Taxable income per year = \(\$880 - \$60 - \$240 = \$580\)

Then, we calculate the tax payable for each year:

Tax payable per year = Taxable income per year * Tax rate

Tax payable per year =\(\$580 * 0.34 =\$197.20\)

Finally, we calculate the net cash flow for the second year:

Net cash flow = Cash inflows per year - Cash outflows per year - Tax payable per year

Net cash flow =\(\$880 - \$240 -\$197.20 = \$442.80\)

Therefore, the cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

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Answer:

100

Step-by-step explanation:

i dont know but the website i was on said 100

Answer:

4%

Step-by-step explanation:

There are ₁₃C₃ ways to choose 3 diamonds from 13.

There are ₃₉C₁ ways to choose 1 non-diamond from 39.

There are ₅₂C₄ ways to choose 4 cards from 52.

Therefore, the probability is:

₁₃C₃ ₃₉C₁ / ₅₂C₄

= 286 × 39 / 270,725

≈ 0.04

The approximate probability that exactly three of the cards are diamonds is 4%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.

Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.

₃₉C₁ ways to choose 1 non-diamond from 39.

₅₂C₄ ways to choose 4 cards from 52.

Therefore, the probability is:

₁₃C₃ ₃₉C₁ / ₅₂C₄

= 286 × 39 / 270,725

≈ 0.04

Therefore, the answer could be 4 percent.

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Answer:

x = 135°

Step-by-step explanation:

104 + 44 + 77 = 225

360 - 225 = 135

A square has to have 360 degrees, right? SO, all quadrilaterals have to be 360 degrees.

have a good day! :)

The U.S. government used coercive treaties, broken promises, military force, and economic pressures to persuade Native Americans to settle on reservations, often resulting in displacement and loss of land.

The history of Native American reservations in the United States is complex and multifaceted. While it is important to note that not all Native Americans were tricked into settling on reservations, there were various factors and events that led to the establishment of reservations and the displacement of Native peoples. Here are some key points:

Treaties and Agreements: In the 19th century, the U.S. government negotiated numerous treaties and agreements with Native American tribes. These agreements were often presented as a means to protect tribal lands, resources, and cultural autonomy. However, some of these treaties were negotiated under coercive circumstances, with unequal bargaining power and the threat of military force.

Broken Promises: Many of the treaties and agreements made between the U.S. government and Native American tribes were not honored. The government frequently violated its promises and encroached upon tribal lands, often due to the discovery of valuable resources like gold, timber, or fertile land. This led to the forced removal of Native peoples from their ancestral territories.

Indian Removal Act: In 1830, the Indian Removal Act was passed by the U.S. Congress. This legislation authorized the relocation of Native American tribes from their homelands to designated reservations in the West. The act was justified under the premise of opening up land for white settlement and facilitating the assimilation of Native Americans into Euro-American society.

Military Force: In some cases, the U.S. government used military force to remove Native American tribes from their lands and confine them to reservations. The most well-known example is the forced relocation of thousands of Cherokee people along the Trail of Tears in the 1830s.

Economic and Social Pressures: Native American communities faced increasing economic and social pressures as European settlers expanded westward. Encroachment on tribal lands, depletion of natural resources, introduction of diseases, and the decline of traditional livelihoods further marginalized Native peoples and made the reservations appear as a solution to their dire circumstances.

It is essential to approach this topic with sensitivity and recognize the diverse experiences and perspectives of Native American tribes throughout history. The process of reservation establishment involved a complex interplay of political, economic, and social factors, and it is not accurate to portray it solely as a deliberate trickery by the government.

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$3

the amount paid after adding tip is $21

the amount for the meal is $18

$21-$18=$3

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

28.26

Step-by-step explanation:

area= 3.14*(3*3)

area =3.14*9

area =28.26

The block reaches the bottom of the incline with a speed of approximately 7.66 m/s.

The acceleration of the block is given by

a = g sin 30 = 9.8 m/s² × 0.5 = 4.9 m/s²

Where g is the acceleration due to gravity.

The distance travelled by the block is given by

d = 3 m

The initial velocity of the block, u = 0

Using the kinematic equation, v² = u² + 2as

The final velocity of the block,v is given by

v = sqrt(2 × 4.9 × 3) ≈ 7.66 m/s

Therefore, the block reaches the bottom of the incline with a speed of approximately 7.66 m/s.

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Answer:

double displacement reaction

Step-by-step explanation:

more ex:

NaOH +HCl =NaCl + H2O

The cost of ordering shirts for a club is 268 units.

Define Function.

A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.

 This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).

The statement that f is a function from X to Y using the function notation f: X→Y

The function that represents the cost of the shirts(x) is f(x) = 8x+12

Now, for x = 32

 f(x) = 8x+12

f(32) = 8(32) + 12

        = 256 +12

f(32) = 268 units

.

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A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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the two nonnegative real numbers with a sum of 34 that have the largest possible product are 17 and 17, resulting in a maximum product of 289.

To find two nonnegative real numbers with a sum of 34 that have the largest possible product, we can use the concept of maximizing the product given a fixed sum.

Let's denote the two numbers as x and y, where x and y are nonnegative real numbers.

We have the constraint that x + y = 34, and we want to maximize the product p = xy.

To solve this problem, we can use the following approach:

1. Express one variable in terms of the other using the given constraint. For example, we can express y in terms of x as y = 34 - x.

2. Substitute the expression for y in terms of x into the expression for the product p = xy to get a single-variable function for p in terms of x.

p = x(34 - x) = 34x - x^2

3. Determine the critical points of the function p(x) by finding where its derivative is zero or undefined.

To find the derivative of p(x), we differentiate p(x) with respect to x:

p'(x) = 34 - 2x

Setting p'(x) = 0 and solving for x gives us:

34 - 2x = 0

2x = 34

x = 17

4. Evaluate the value of p(x) at the critical points and the endpoints of the interval.

p(x) = 34x - x^2

When x = 0, p(0) = 34(0) - (0)^2 = 0

When x = 17, p(17) = 34(17) - (17)^2 = 289

5. Compare the values of p(x) at the critical points and endpoints to determine the maximum value of p(x).

From the calculations above, we can see that the maximum value of p(x) is 289, which occurs when x = 17 and y = 34 - x = 17.

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Answer:

w = 5

Step-by-step explanation:

(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1

(Graph, just switch w to x)

Answer:

higkygbjoknmmnnnbv

Answer:

x=18

Step-by-step explanation:

Simplify both sides of the equation.

1/2x-7=1/3(x-12)

1/2x-7=1/3x-4

Subtract 1/3x from both sides.

1/6x-7=-4

Add 7 to both sides.

1/6x=3

Multiply both sides by 6.

x=18

<3

Answer:

\(x = 18\)

Step-by-step explanation:

\(\frac{1}{2}x - 7 = \frac{1}{3}(x-12)\)

\(\frac{1}{2}x - 7 = \frac{1}{3}x - \frac{12}{3}\)

\(\frac{1}{2}x - 7 = \frac{1}{3}x-4\)

\(-\frac{1}{3}x\)    \(-\frac{1}{3}x\)

\(\frac{1}{6}x -7 = -4\)

\(6(\frac{1}{6}x - 7 = -4)\)

\(x - 42 = -24\)

  \(+ 42\)      \(+ 42\)

\(x = 18\)

Hope that helps!

Answer:

Answer:

a lot

Step-by-step explanation:

Answer:

Whats a you love

Step-by-step explanation:

no entiendo

Answer:

-11

Step-by-step explanation:

Answer:

x=−2,5,−4

explanation:

im learning this in class rn

Answer: 8.49 inches

Step-by-step explanation:

16.4-7.91=8.49 inches

Prove that a || b

What is Angles?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given,

c || d

<1 = <7

We have to prove a || b

∠1 = ∠5         corresponding angles of lines a and b

∠1 = ∠4          are alternate interior angles of lines a and b

∠5 = ∠7         corresponding angles of lines a and b

∠3 = ∠7         corresponding angles of lines a and b

Therefore, a || b by converse corresponding angle theorem

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To find the daily mileage for which the Ultimo charge is twice the Primo charge, we can set up an equation and solve for the unknown value.

Let's start by defining some variables:
- Let x be the daily mileage.
- The Primo car rental agency charges $45 per day plus $0.40 per mile, so the Primo charge can be expressed as 45 + 0.40x.
- The Ultimo car rental agency charges $26 per day plus $0.85 per mile, so the Ultimo charge can be expressed as 26 + 0.85x.
According to the question, we need to find the value of x for which the Ultimo charge is twice the Primo charge. Mathematically, we can write this as:
26 + 0.85x = 2(45 + 0.40x)
Now, let's solve this equation step-by-step:
1. Distribute the 2 to the terms inside the parentheses on the right side of the equation:
26 + 0.85x = 90 + 0.80x
2. Move all the x terms to one side of the equation and all the constant terms to the other side:
0.85x - 0.80x = 90 - 26
3. Simplify and solve for x:
0.05x = 64
x = 64 / 0.05
x = 1280
Therefore, the daily mileage for which the Ultimo charge is twice the Primo charge is 1280 miles.

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