A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1450 downloads of the song, for a total download size of 5629 MB. How many downloads of the standard version were there?

Answer: y=5 is the asymptote answer

Answer:

80

Step-by-step explanation:

x/ -4 = -20

I hope this helps!

Answer: 13.9

Step-by-step explanation:

17.140 rounded to the nearest tenth is 17.1

03.179 rounded to the nearest tenth is 3.2

17.1 - 3.2 = 13.9

The ratio of F# to B to two decimal places is 1.50:1.

A ratio is simply used to compare two things or numbers.

In this case, the note F# has a frequency of 1,480 hertz and the note B has a frequency of 988 hertz.

The ratio of F to B will be:

= 1480 / 988

= 1.50

The ratio is 1.50:1.

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Answer:

3/2

Step-by-step explanation:

Answer:

Scalene

Step-by-step explanation:

a scalene triangle has three sides different angles none of its sides are equal in length

Answer:

A scalene triangle or quadrilateral has no equal sides.

The missing reasons used in solving the given inequality are;

Reason 2; Subtraction property

Reason 3; Subtraction property of order

Reason 5; Division property of order.

There are different properties of algebra such as distributive property, commutative property, associative property, addition property, division property e.t.c

We are given the inequality as;

−2(x + 3) − 4 > 4x + 30

Step 1;

-2x - 6 - 4 > 4x + 30

Reason 1; Distributive property

Step 2; -2x - 10 > 4x + 30

Reason 2; Subtraction property

Step 3; -6x - 10 > 30

Reason 3; Subtraction property of order

Step 4; 6x > 40

Reason 4; Addition property of order

Step 5; x < -20/3

Reason 5; Division property of order.

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Answer:

Kieran shaded the multiples of 9 instead of the multiples of 3

Step-by-step explanation:

Based on the equation y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps, the correct statement is since inheriting the collection, Paul has bought 3 new stamps each week.

According to the question,

We have the following information:

y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps

Now, when we observe this equation carefully, we notice that 3x is added to 40. So, it means that 40 is constant. Then, the number of stamps increasing per week is in the multiplication of 3. Or, in other words, 3 new stamps are bought each week.

For 1st week:

y = 3*1+40

y = 43

For 2nd week:

y = 3*2+40

y = 6+40

y =46

Hence, the correct option is C.

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Answer:

Perimeter: 20 mi

Area: 22.44 mi^2

Step-by-step explanation:

perimeter formula for a rectangle is 2 times length plus 2 times width

2(3.4)+2(6.6)

6.8+13.2

20 is the perimeter

Now for the are we multiplying the length and width to find area

3.4x6.6

22.44 is the area

Hopes this helps please mark brainliest

Step-by-step explanation:

1/2 miles in 1/4 day (Given)

Find the distance of the road built in 1 day:

1/4 day = 1/2 miles

4/4 days 1/2 x 4 = 2 miles =

Answer: The rate is 2 miles per day.

Answer:

7 * 5 =35 because if you say 5 10 15 20 25 30 35 then that's your answer

Answer:

a) 7:13  b) 5:13

Step-by-step explanation:

There are 7 new books (-> 7:--) theres 5 used books, add the 7 new books and 5 used books together. it said "The ratio for new books to all books?" it must be in that order. with leads you to 7:13

do the same thing for b) using the same steps.

If an American is selected at random, the probability that he or she will disapprove or have no opinion on the issue is 33%.

Given data:

Approved human embryonic stem cell research = 67% or 0.67

Now let find the probability that the human embryonic stem cell research will be disapprove using this formula

P(disapprove or no opinion) = 1 - Approved

Let plug in the formula

P(disapprove or no opinion)  = 1 - 0.67

P(disapprove or no opinion) = 0.33 or 33%

Therefore 33% is the probability of disapprove or no opinion.

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Answer:

D. 3 3/7 ft²​

Step-by-step explanation:

A = LW

A = 4 ft × 6/7 ft²

A = 24/7 ft²

A = 3 3/7 ft²

All the real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30) is x = 1 .

In the question ,

it is given that the expression is

(3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)

By using the identity a³ + b³ [tex]=[/tex] (a + b)(a² - ab + b² )

we get ,

[(3x - 27 + 27x - 3)] × [(3x - 27)² - (3x - 27)(27x - 3) + (27x - 3)² ] = 30x - 30

(30x - 30)×[(3(x - 9))² - (3(x - 9) × 3(9x - 1)) + (3(9x - 1))²] = 30x -30

using the identity (a-b)² [tex]=[/tex] a² -ab + b²

(30x - 30) × [9( x² - 18x + 81) - (9(9x² - 82x + 9)) + (9(81x² - 18x + 1)) = 30x-30

9(30x - 30)×[x² - 18x + 81 - 9x² + 82x - 9 + 81x² - 18x + 1] = 30x - 30

270×(x - 1)×[ 73x² + 46x + 73] = 30(x - 1)

taking (x-1) terms to LHS ,
we get

(270 - 30)×(x - 1)[ 73x² + 46x + 73 ] = 0

(240) (x - 1) [ 73x² + 46x + 73 ]  =  0     ....because 270-30 = 240

Dividing both sides by 240

we get ,

(x - 1) [73x² + 46x + 73] = 0

So , either x - 1 = 0    or      73x² + 46x + 73 = 0

on solving 73x² + 46x + 73 = 0

we get the discriminant of 73x² + 46x + 73  a negative number , so it cannot have real root .

hence x -1 = 0

x = 1

Therefore , the only real solution is x = 1 .

The given question is incomplete , the complete question is

Find all real numbers x in the expression such that (3x - 27)³ + (27x - 3)³ = (3x + 27x - 30)   ?

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The speed of the car is 40mph

A rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

Distance covered by car = 160 miles

distance covered by plane = 840 miles

let the time taken to cover 160 miles by car be x

speed of car = 160/x

speed of plane which is 170mph faster than speed of car = 170 + 160/x

time taken to cover 840 miles by plane,

time = distance/speed = [tex]\frac{840}{170 + \frac{160}{x} }[/tex]

By simplifying,

time taken by plane = [tex]\frac{840x}{170x + 160}[/tex]

since it takes same time for both to get to their destination,

Then,

x =  [tex]\frac{840x}{170x + 160}[/tex]

By cross multiplying

x( 170x + 160) = 840x

divide both sides by x, it reduces to

170x + 160 = 840

170x = 840 - 160

170x = 680

x = 680/170

x = 4

Speed of car = 160/x

speed of car = 160/4

speed = 40mph

In conclusion, the care moves at the speed of 40mph

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1/2 is the probability of getting at least one answer correct

Given that: the exam has 4 multiple choice with 5 possible answers. This means there are 20 possible choices ( 5×4 = 20).

That means each problem has a probability of 1/20 correct answer. The probability of getting at least one answer means you either get one, two, three or four correct answers. Thus:

P (at least one correct) = P(1) + P(2) + P(3) + P(4)

                                      = 1/20 + 2/20 + 3/20 + 4/20

                                      = (1+2+3+4)/20

                                     = 10/20

                                     =   1/2

Therefore, the probability of getting at least one answer correct is 1/2

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The probability of getting at least one answer correct is equal to 7

That I guess at least one answer correctly means that I could get all four answers correct or three answers correct or two answers correct or only one answer correct. The probability of getting any one answer is 1/4 and probability of not getting an answer is 1 - 1/4=3/4. Or implies addition.

probability of getting all four answers correct = 1/4 +1/4 + 1/4 + 1/4 = 4/4 = 1

probability of getting three answers correct = 1/4 +1/4 + 1/4 + 3/4 = 6/4 = 3/2

probability of getting two answers correct = 1/4 +1/4 + 3/4 + 3/4 = 8/4 = 2

probability of getting all four answers correct = 1/4 +3/4 + 3/4 + 3/4 = 10/4 = 5/2

The probability of getting at least one answer correct = 1 + 3/2 + 2 + 5/2

The probability of getting at least one answer correct = (2 + 3 + 4 + 5)/2

The probability of getting at least one answer correct = 14/2

Thefore, the probability of getting at least one answer correctly is the whole number 7

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If each has the same probability of performance. If the system is to have a .92 probability of performing, The minimum probability of performing needed by each of the individual components is: 0.97126.

Given data:

Number of identical component = 3

Probability of performing = .92

Now let determine the probability

Probability =  0.92 ^(1/3)

Probability = 0.92^0.3333

Probability =.9726

Therefore the probability is .9726.

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The calculation of the ratios, resulting from the square feet occupied by both departments, and the amounts of overhead allocated to the two departments are as follows:

                            Ratio      Amount

Department A       1/5        $10,000

Department B      4/5       $40,000

The ratio is the numerical relationship shared by two or more values.

Ratios are fractional values and are depicted using fractions, decimals, and percentages.

Ratios, like proportions, show how much a value or variable is contained in another.

Total overhead = $50,000

Department   Square Feet  Ratio    Amount of Overhead Allocated

Dept. A            20,000         A = 1      B = $10,000 ($50,000 x 1/5)

Dept. B            80,000         C = 4     D = $40,000 ($50,000 x 4/5)

Ratios = 20,000:80,000

= 1:4

Sum of Ratios = 5

Thus, based on the cost driver allocation ratios, Department A will bear $10,000, while Department B will be allocated $40,000.

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Answer:

Step-by-step explanation:

You want the result of a division operation performed on numbers written in scientific notation.

In each case, the result number will have a repeating decimal fraction. We show 4 significant figures in the answer. The number of significant figures you need to use will depend on what you're using the answer for. If you are required to match the precision of the numbers here, you will want to use 1 significant figure.

The rules of exponents apply, so the exponent of the result will be the difference of the exponents of numerator and denominator. As always, if the numerator mantissa is smaller than the denominator mantissa, the result will be a fraction, so adjustment of the exponent will be necessary.

  = (5/3)×10^(-10-(-9)) = 1.667×10^-1

  = (1/3.5)×10^(-9-(-9)) = 0.2857×10^0 = 2.857×10^-1

__

Additional comment

Any scientific or graphing calculator and any spreadsheet can accept input in scientific notation and format the output in the same way.

You need to be careful with the way you enter the multiplier. Most calculating platforms accept the E notation shown in the attachment. If you use multiplication (×10^-9, for example), then the denominator number will need to be enclosed in parentheses. The third line of the second attachment shows the result of not using parentheses: the multiplier intended for the denominator instead multiplies the result of the division. (This behavior is required by the Order of Operations.)

Answer:

x=20

Step-by-step explanation:

It looks like the opposite end of the 70 is angle between I and D. So assuming that angle is also 70 I would subtract 90 and 70 which equals 20. X=20

Answer:

a and c

Step-by-step explanation:

if you evaluate each one on either side of the equal sign you get the same number on both sides

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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The value of x will be 9.8 m.

The value of y will be 11.2 m.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The two triangles are similar.

Now,

Since, The two triangles are similar.

So, We get the sides are proportional to each other.

Hence, We can formulate;

⇒ 4/5.6 = 7/x

Solve for x as;

⇒ x = 7 × 5.6 / 4

⇒ x = 9.8 m

And, 4/5.6 = 8/y

Solve for y;

⇒ y = 8 × 5.6 / 4

⇒ y = 11.2 m

Thus, The value of x will be 9.8 m.

The value of y will be 11.2 m.

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The function operation (f + g)(x) of the functions f(x) = √( 16x⁴ ) and g(x) = 3x² - 3x - 5 is -5x² + 5x - 7.

A function is simply a relationship that maps one input to one output.

Given the functions in the question;

To determine the function operation (f + g)(x), replace the function designators with the functions and simplify.

(f + g)(x) = f(x) + g(x)

(f + g)(x) = √( 16x⁴ ) + ( 3x² - 3x - 5 )

Replace √( 16x⁴ ) with 4x²

(f + g)(x) = 4x² +  3x² - 3x - 5

Collect and add like terms

(f + g)(x) = 7x² - 3x - 5

Therefore, the function operation (f + g)(x) is 7x² - 3x - 5.

Option A is the correct answer.

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The price of the lumber per square foot is $115.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Given that the cost of the lumber yard plywood per square meter is $1240.

The cost of the lumber plywood per square foot is calculated as,

Cost = $1240 per square meter

The square meter is equal to 1 m = 3.28 ft. The cost will be calculated as,

Cost = $1240 / m²

Cost = $1240 / (3.28)² ft²

Cost = $115 per square feet

Therefore, the price of the lumber per square foot is $115.

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(5-√5)² in the form a + b√5 can be written as 30 - 10√5 where, the integers a and b are 30 and -10 respectively.

What is integer?

Positive, negative, and zero are all examples of integers. The Latin word "integer" means to "whole" or "intact." Therefore, fractions and decimals are not included in integers. In this essay, we will learn more about integers, their definition, and their characteristics.

We know that,

[tex](a-b)^2= a^2 + b^2 - 2ab[/tex]

Using this mathematical identity, putting the values from question,

(5-√5)² = 5² + √5² - 2(5)(√5)

(5-√5)² = 25 + 5 - 10√5

(5-√5)² = 30 - 10√5

This is in the form a + b√5 where, the integers a and b are 30 and -10 respectively.

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Answer:

24/8 = 3/1

40/20 = 20/1

Step-by-step explanation:



I hope this helps!

The value of the algebraic expression is:

a^2*b = -15 + 20i

Here we have the following expression:

a^2*b

And we want to use the values:

a = -1 + 2i

b = 5

Replacing these values in the expression we will get:

(-1 + 2i)^2*5

Expanding the  first part we get:

(-1 + 2i)*(-1 + 2i) = (-1)*(-1) + (-1)*(2i) + (2i)*(-1) + (2i)*(2i)

                        = 1 - 2i - 2i - 4

                        = -3 + 4i

Replacing that in the expression we get:

(-1 + 2i)^2*5 = (-3 + 4i)*5 = -3*5 + 4i*5 = -15 + 20i

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