Amazon is offering a $17.95 discount on a pair of wireless headphones. You pay $71.80 for the headphones after the discount. Write and solve an equation to find the original price of the headphones.



Use "x" for your variable

Answer:

30

Step-by-step explanation:

you just Multiply by 2

Answer:

h = 25 in

hope it helped!

Answer:

  $8,287,429

Step-by-step explanation:

The total profit will be the sum of a geometric series. The formula for that sum is ...

  Sn = a1 × (r^n -1)/(r -1)

where a1 is the first term, r is the common ratio, and n is the number of terms.

__

Here, the series has first term $140,000, common ratio 1+0.20 = 1.2, and we want the total of 14 terms. The total profit is ...

  S14 = ($140,000) × (1.2^14 -1)/(1.2 -1) ≈ $8,287,429

In the first 14 years of operation, the total profit would be $8,287,429.

Answer:

Step-by-step explanation:

a;23

b;23

c97

d18

e29

Answer:

Jennys backyard cost 7524 doll hairs.

Step-by-step explanation:

11x9=99

76x99=7524

hope this helps!!

Answer:

[-4,9)

Step-by-step explanation:

im like 99% sure this is right bc i just did a problem like this (:

Answer:

-13

Step-by-step explanation:

i got it by sibtracting 9 and -4

The probability that fewer than 4 are independent = 0.971

Let X be a random variable representing the number of independent people out of 12 people.

Then X follows binomial distribution.

A binomial distribution considers two possibilities in 'n' trials -  success or  failure. Here the case of success is being independent and the case of failure is being either republican or democrat.

The probability distribution function of a binomial distribution is,

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ

Where n is the number of trials, p - the probability of success

Here, n = 12

Since 6% of voters are independent, probability of being an independent = 6/100 = 0.06

Probability that fewer than 4 are independent = P( X = 0 or 1 or 2 or 3)

                                                                             = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Now, P(X=0) = ¹²C₀ (0.06)⁰ (1-0.06)¹²⁻⁰

                      = 1 x 1 x 0.4759

                      = 0.4759

P(X = 1) = ¹²C₁ (0.06)¹ (1-0.06)¹²⁻¹

           = 12 x 0.06 x 0.94¹¹

           = 0.3645

P(X = 2) = ¹²C₂ (0.06)² (1-0.06)¹²⁻²

             = 66 x (0. 06)² x 0.94¹⁰

            = 0.128

P(X = 3) =  ¹²C₃ (0.06)³ (1-0.06)¹²⁻³

             = 22 x 0.000216 x 0.94⁹

             = 0.00272

Therefore, Probability that fewer than 4 are independent = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3) =  0.4759 + 0.3645 +  0.128 + 0.00272 = 0.971

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Answer:

32 ft tall

Step-by-step explanation:

Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.

SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.

We know the tree's shadow is 48 ft.

--> 48/3 = 16

16 x 2 = 32

32 ft tall

Hope this helps!

Answer: 32ft tall

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because u will subtract 0.5 from 8 nine times

8-0.5= 7.5

7.5-0.5=7.0

7.0-0.5= 6.5

6.5-0.5=6.0

6.0-0.5=5.5

5.5-0.5=5.0

5.0-0.5=4.5

4.5-0.5=4.0

4.0-0.5=3.5

EXPLANATION

Given the function

f(x) = sqrt(x-1) -3

The minimum value on the interval 2≤x≤10 is -3.

We can get this by sketching different points as follows:

x y=sqrt(x-1) -3

0 undefined

1 -3

2 -2

5 -1

10 0

Step-by-step explanation:

If you are satisfied with the results then plz make me genius.

the value of the variable x that makes these two solids similar is 12mm. and explained as

Let's assume that the sides x, 24 belong to one of the solids and the sides 4, 8 belong to the other similar solid. To find the value of the variable x that makes these two solids similar, we can set up a proportion using the corresponding sides:

x/24 = 4/8

We can simplify this proportion by cross-multiplying:

8x = 24 x 4

Simplifying the right-hand side of the equation, we get:

8x = 96

Dividing both sides of the equation by 8, we get:

x = 12

Therefore, the value of the variable x that makes these two solids similar is 12. We can also use this value to find the missing side of the first solid:

x/24 = 4/8

Substituting x = 12, we get:

12/24 = 4/8

Simplifying both sides of the equation, we get:

1/2 = 1/2

This confirms that the two solids are indeed similar. We can also use the ratio of corresponding sides to find the missing side of the second solid:

x/4 = 24/8

Substituting x = 12, we get:

12/4 = 24/8

Simplifying both sides of the equation, we get:

3 = 3

This confirms that the two solids are similar and that the corresponding sides are in the same ratio. Therefore, the missing side of the second solid is 3 times its corresponding side, which is 8. Therefore, the missing side is 24.

In conclusion, the value of the variable x that makes these two solids similar is 12. The missing side of the first solid is 4 and the missing side of the second solid is 24.

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Answer:

D 53 is the answer I just took the test

Answer: 53

Step-by-step explanation: taking the test

Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

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Answer:

≅ 0.76 or 76%

Step-by-step explanation:

To find the probability that at least one copy machine is out of order, we can use the complement rule. That is, we can find the probability that none of the copy machines are out of order, and then subtract that from 1.

The probability that a particular copy machine is working is 1 - 0.3 = 0.7. Since we have four copy machines that work independently of each other, the probability that all four machines are working is:

0.7 x 0.7 x 0.7 x 0.7 = 0.2401

So the probability that none of the copy machines are out of order is 0.2401.

Therefore, the probability that at least one machine is out of order is:

1 - 0.2401 = 0.7599

So the probability that at least one copy machine is out of order is approximately [0.76, or 76%.]

The surface area of the prism is 740ft²

A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;

SA = 2B + ph

where h is the height and B is the base area , P is the perimeter of the base.

Base area = 1/2 bh

= 1/2 × 15 × 8

= 15× 4

= 60 ft²

Perimeter of the base = 8+15 +17

= 30 ft

height = 20ft

Surface area = 2 × 70 + 30 × 20

= 140 + 600

= 740 ft²

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Answer:

x = 9

Step-by-step explanation:

\(2x + 3 = 3x - 6\)

\(3 = x - 6\)

\(x = 9\)

3230 Kilograms of the soil supplement are required for the entire Vineyard.

Some units that need to be recalled are as follows:

1 km = 1000 m

1 km^2 = 1000000 m^2

1 km^2 = 247 acres

1 kg = 1000 g

Let's tackle the problem now:

A vineyard has 145 acres of Chardonnay grapes.

145 acres = \(\frac{145}{247}\)× 1 km^2

145 acres = 145/247 km^2

145 acres ~ 0.587 km^2

A particular soil supplement requires 5.50 grams for every square meter of vineyard

1m^2 → 5.50 gram

1 km^2 = 10^6 →5.50 x 10^6 gram

1 km^2 →5.50 x 10^6 x 10^-3 kg

1 km^2 →5.50 x 10^3 kg

145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg

145 acres → 797500/247 kg

145 acres → 3230 kg

It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.

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The probability that the horse will win the race if the odds in favor of a horse winning a race are 8:5 is 38.4%.

According to the given question.

The odds in favor of a horse winning a race are 8:5.

Out of 13 chances the horse win the race 5 times and not win the 8 times.

So, total number of favorable outcomes = 5

And, total number of outcomes = 8 + 5 = 14

Therefore,

The probbaility that horse will win the race

= Number of times won / (Number of times lost + Number of times won)

= total number of favorable outcomes/total number of outcomes

= 5/ (8 + 5)

= 5/13

= 38.4%

Hence, the probability that the horse will win the race is 38.4%.

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The measurement basis used when a reliable estimate of fair value is not available is the historical cost basis.

Historical cost basis refers to the original cost of acquiring an asset or incurring a liability. Under this basis, assets are recorded at the amount paid or the consideration given at the time of acquisition, and liabilities are recorded at the amount of consideration received in exchange for incurring the obligation.

This measurement basis is used when a reliable estimate of fair value is not available because fair value requires market prices or observable inputs, which may not be readily available in certain situations. In such cases, historical cost provides a more objective and verifiable measure of an asset's value.

For example, if a company purchases a building for $500,000, the historical cost of the building will be recorded as $500,000 on the balance sheet. Even if the fair value of the building increases or decreases over time, the historical cost will remain unchanged unless there are subsequent events that require a different measurement basis, such as impairment.

In summary, when a reliable estimate of fair value is not available, the historical cost basis is used as a measurement basis to record assets and liabilities at their original acquisition or incurrence cost.

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Answer:

n/a

Step-by-step explanation:

Where's the diagram?

Answer:

x = √97

Step-by-step explanation:

Answer:√97

Step-by-step explanation:

According to pythagoras theorem,

X^2= 4^2 + 9^2

→x =√(16 + 81)

→x=√97

The two lines are neither parallel nor perpendicular to each other.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the two equations of the lines are y= -1/3x+2 and 5y+15x=-40.

y= -1/3x+2

5y+15x=-40.

5y = -15x - 40

y =-3x - 40/3

Here the slopes of the lines are,

m₁= -1 / 3

m₂ = -3

For the lines to be parallel the slopes should be equal and for the lines to be perpendicular the slopes should be inverse and reciprocal.

Here the slopes are neither equal nor have the inverse reciprocal.

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Answer:

4, 5, 6

Step-by-step explanation:

x>3.75

The proportion of the pan of leftover brownies that now has icing is of 0.21 = 21%.

A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations to find the desired amounts in whichever context of the problem.

In the context of this problem, these amounts are given as follows:

Hence the part of the pan of leftover brownies that now has icing is obtained by the multiplication presented as follows:

0.7 x 0.3 = 0.21.

It can be interpreted by the multiplication of 7 and 3 = 21, and then the result moves two decimal places to the left as each factor of the multiplication has one decimal digit.

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Answer:

Step-by-step explanation:

Given equation:

Convert this to standard form by completing the square:

The center is (- 4, 2) and the radius is √27

Answer:

42 degrees (check attachements) hope it helps!

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.

m<B + m<D = 180

2x + 3x - 5 = 180

5x = 185

x = 37

m<A = x + 5

m<A = 37 + 5

m<A = 42

Answer:

4/11

Step-by-step explanation:

An MIS differs from a TPS in that it creates databases is True.

An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.

One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.

On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.

In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.

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The equation of the surface of revolution generated by revolving x = (1/z)^z about the z-axis is x = e^(-y).

To find the equation of the surface of revolution, we start with the parametric equation x = (1/z)^z, y = t, z = t. We eliminate the parameter t by substituting z for t in the equation x = (1/z)^z. Simplifying further, we obtain x = e^(-y).

This equation represents the surface of revolution generated by revolving the curve x = (1/z)^z about the z-axis. The exponentiation by e^(-y) signifies that the x-coordinate changes exponentially as the y-coordinate varies.

Therefore, as we revolve the curve around the z-axis, it forms a surface with an exponential decay in the x-direction. Hence, the equation x = e^(-y) describes the surface of revolution.

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Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find width of the rectangle, BD:

Thus:

\( tan(\theta) = \frac{opposite}{adjacent} \)

Where,

\( tan(\theta) = tan(60) = \sqrt{3} \)

Opposite = BD

Adjacent = 7 cm

Plug in the values

\( \sqrt{3} = \frac{BD}{7} \)

Multiply both sides by 7

\( 7\sqrt{3} = BD \)

\( BD = 7\sqrt{3} \)

✔️Using trigonometric ratio, find height of the rectangle, BF:

Thus:

\( tan(\theta) = \frac{opposite}{adjacent} \)

Where,

\( tan(\theta) = tan(60) = \sqrt{3} \)

Opposite = 6 cm

Adjacent = BF

Plug in the values

\( \sqrt{3} = \frac{6}{BF} \)

\( BF = \frac{6}{\sqrt{3}} \)

Rationalize

\( BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} \)

\( BF = \frac{6\sqrt{3}}{3} \)

\( BF = 2\sqrt{3} \)

✔️Perimeter of rectangle BDEF:

Perimeter = 2(BD + BF)

Plug in the values

\( Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) \)

\( Perimeter = 2(9\sqrt{3}) \)

\( Perimeter = 18\sqrt{3} \)

✔️Area of the rectangle BDEF:

Area = BD × BF

Plug in the values

\( Area = 7\sqrt{3} \times 2\sqrt{3} \)

\( Area = 7 \times 2\sqrt{3 \times 3} \)

\( Area = 14 \times 3 \)

\( Area = 42 \)