A survey of the worlds nation in 2004 shows a strong positive correlation between percentage of the country using cell phones and life expectancy and years at birth

The correct way by using the power of a power property we can write as;

⇒ x¹⁵ = (x³)⁵

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x¹⁵

Now,

Since, The expression is,

⇒ x¹⁵

We can write the expression as by using the power of a power property as;

⇒ x¹⁵ = (x³)⁵

Thus, The correct way by using the power of a power property we can write as;

⇒ x¹⁵ = (x³)⁵

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The distance driven in city is 386.4 miles and same in highway is 213.6 miles.

Let the distance driven in city be x and driven in highway be y.

Now given that the mileage in city is 46 miles per gallon and in highway same is 51 miles per gallon.

The car is driven 621 miles in 13 gallon.

So suitable system of linear equations in two variables to solve this is,

x+y = 621 ……(1)

x/46+y/51 = 13 …….(2)

From (2) we get,

51x+46y = 30498

5x+46(x+y) = 30498

5x+46*621 = 30498

5x = 30498-28566

5x = 1932

x = 386.4

So from (1) we get,

y = 621-x = 621-386.4 = 213.6

Hence the car drove 386.4 miles in city and 213.6 miles in highway.

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Sally purchased 7 pieces of orange .

Conversion applied :

1 dollar = 100 cents

Cost of 1 piece of orange = 51 cents

Cost of 1 piece of apple = 42 cents

Let pieces of orange purchased be x .

⇒ pieces of apples purchased = 11 - x .

The following linear equation becomes ,

51 x + 42 ( 11 - x ) = 5.25 * 100

Solving linear equation in 1 variable given above ,

9 x = 63

x = 7

⇒ no. of oranges purchased = 7

Therefore Sally purchased 7 pieces of orange .

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The value of x in the remote angles of the triangle  is 22.

The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.  

In other words the sum of the remote interior angle is equals to the external angle.

Therefore,

110 = 3x + 2x

110 = 5x

divide both sides by 5

110 / 5 = 5x / 5

x = 22

Therefore, using exterior angle theorem, the value of x is 22.

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With the help of probability we can conclude our answer.

acc to our question-,

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Answer: 2y   or   2 x y

Step-by-step explanation:

2 times the minutes

therefor if carlos answers 4 calls, you would say 2 x 4 and you ranswer would be 8 minutes.

After evaluating those terms,

we get the answer as

1.  -7/6 - (-1/9) =[tex]\frac{-19}{18}[/tex]

2.  -1/3 + 5/7   = = [tex]\frac{8}{21}[/tex]

A fraction is a number that has a numerator as well as a denominator.

1 / 2  is an example of a fraction. The top part of the fraction is the numerator and the bottom part of the fraction is the denominator.

Fractions represent one value. Dividing the numerator by the denominator shows what decimal value fractions have. For example,  1/2  is equal to 1  ÷  2 which equals 0.5.

in this we have to evaluate

1.    -7/6 - (-1/9)

= [tex]\frac{-7}{6}[/tex]  - ([tex]\frac{-1}{9}[/tex])

= [tex]\frac{-21+2}{18}[/tex]

=[tex]\frac{-19}{18}[/tex]

Hence , after solving we get the desired result as -19/18 .

2. -1/3 + 5/7

= [tex]\frac{-1}{3}[/tex] + [tex]\frac{5}{7}[/tex]

= [tex]\frac{-7 + 15}{21}[/tex]

= [tex]\frac{8}{21}[/tex]

Hence, after solving we get the desired result as 8/21 .

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Answer:

use pythagoras theorm you will get 20.35 ft

Step-by-step explanation:

Answer:

20.3490

Step-by-step explanation:

a^2+b^2=c^2

15.5^2+13.2^2=c^2

240.25+174.24=c^2

414.49=c^2

c=20.3590

Josiah read  at the rate of 17.5 pages per  hour.

Speed of reading is the number of pages read per hour.

Given here, Josiah read 28 pages in  1 ³/₅ hours which is in mixed fraction

now   1 ³/₅ = ⁸/₅ = 1.6 hours

therefore the speed of reading is = 28 / 1.6 = 17.5 pages hour.

Hence, Josiah's the speed of reading is  17.5 pages hour.

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The number of Male voters =14700, The number of female voters =14100 and the number of voters to "Others" category=1200

How do you calculate a percentage?

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, the decimal 0.35, or the fraction, represents 35%.

Given : Total  votes = 300000

males = 49%
females = 47%
Others = 4%

Number of votes for males =   [tex]\frac{49}{100} *300000[/tex] = 14700
Number of votes for females = [tex]\frac{47}{100} *300000[/tex] = 14100

Number of votes for others = [tex]\frac{4}{100} *300000\\[/tex] = 1200

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Answer:

A

Step-by-step explanation:

It is perpendicular because it forms a right angle with the second line

The polynomial is, -24x⁴y⁵+16x²y³. One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method.

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The terms degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). 

Here,

The polynomial is,

=-24x⁴y⁵+16x²y³

One of the factor is (-8x²y³)

=-8x²y³*(3x²y²-2)

So other factor is 3x²y²-2.

One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method for the The polynomial -24x⁴y⁵+16x²y³.

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[tex]T(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{3}{5}}(x-\stackrel{x_1}{4}) \\\\\\ y-1=\cfrac{3}{5}x-\cfrac{12}{5}\implies y=\cfrac{3}{5}x-\cfrac{12}{5}+1\implies {\Large \begin{array}{llll} y=\cfrac{3}{5}x-\cfrac{7}{5} \end{array}} \\\\[-0.35em] ~\dotfill[/tex]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line AB

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}} \implies \cfrac{ -3 }{ 4 } \implies - \cfrac{3 }{ 4 } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]

so we're really looking for the equation of a line that has a slope of 4/3 and that it passes through (3 , 2)

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=\cfrac{4}{3}x-4\implies {\Large \begin{array}{llll} y=\cfrac{4}{3}x-2 \end{array}}[/tex]

Answer:

x≈-0.0200335+2kπ/5

x≈-0.648352+2kπ/5

Step-by-step explanation:

sin(-5x)=0.1

-sin(5x)=0.1

sin(5x)=-0.1

sin(5x)=1/10

5x=arcsin(- 1/10)

5x=π-arcsin(- 1/10)

5x=π-arcsin(- 1/10)

5x=π-arcsin(- 1/10)+2kπ

5x=π-arcsin(- 1/10)+2kπ

x=arcsin (1/10)/5 + 2kπ/5

x=arcsin (1/10)/5 + 2kπ/5

x≈-0.0200335+2kπ/5

x≈-0.648352+2kπ/5

Answer:

4.5 ounces of rice per container

Step-by-step explanation:

27 / 6 = 4.5

Hope this helps :)

A. The translations used in the transformation of f(x) to g(x) can be given as follows:

B. The solutions for k are given as follows:

C. The rules are given as follows:

There are four cases for the translation of an image, and they can be represented as follows:

From the graph of the linear functions shown at the end of the answer, two translations are possible, listed as follows:

The values of k are equivalent to the values of a in the bullet points listing the translations above, and the equations were also built from those bullet points.

The lines are shown by the image at the end of the answer.

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They should produce 1091 units each day to yield a minimum cost.

What is the vertex formula?

When the graph crosses its symmetry axes, the vertex formula aids in determining the vertex coordinate of a parabola. The vertex point is often represented by (h, k).

We know that a parabola's conventional equation is y=ax²+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient of x² is positive. The vertex should be at the peak of the U-shaped curve if the coefficient of x² is negative.

We have,

C = 70,000 - 120x + 0.055x²

C = 0.055x² - 120x + 70,000

Hence, for this equation, the graph will be parabola opening upward.

For that, the vertex will be the minimum cost

x = (-b) / 2a

Here, a = 0.055 , b = -120

Now, find and put the values of x.

minimum cost (x) = ( -(-120) ) ÷ ( 2 × 0.055 )

                           = 120 ÷ 0.11

                           = 120 ÷ 0.11

                           = 1090.90  ≈ 1091 units

The minimum cost will be yield for 1091 units.

Therefore, They should produce 1091 units each day to yield a minimum cost.

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According to the triangle inequality, the length of a triangle's third side must be greater than the sum of any two other triangle lengths, so the length of the steel piece will likely be 4 or 5 inches.

Triangle inequality is a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side; it is represented by the symbols a + b≥ c. The basic tenet of the theorem is that a straight line connects any two points.

Here,

If they are an integer number of inches long and less than six, the following lengths are possible: 4 ,5

According to the triangle inequality, any two other triangle lengths must be greater than the third side of a triangle's length:4+4 = 8 > 6

4+6 = 10 > 4

5+5 = 10 > 6

6+5 = 11 > 5

According to "The Triangle Inequality," which states that the length of a triangle's third side must be greater than the sum of any two other triangle lengths, the piece of steel's potential length will be 4 or 5 inches.

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Answer:

The larger share is $450.

Step-by-step explanation:

[tex]\frac{3}{5} =\frac{3x}{5x} \\\\3x-the smaller share\\5x-the larger share\\3x+5x=8x\\8x-money to split\\8x=720 /:8\\x=90\\5x=5*90=450[/tex]

The probability of selecting a blonde is 0.40

Probability is the likelihood that something will occur.

In this case, from the twenty students, it should be noted that the number of blondes are 8.

Black hair = 5

Blonde hair = 8

Brown hair = 5

Red hair = 2

Therefore, the probability of choosing a blonde will be:

= Number of blonde / Total students

= 8/20

= 0.40

The probability is 0.40

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Complete question

Of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used the spinner to blonde hair. What's the experimental probability that the student will have blonde hair?

Answer:

y + 1 = 1/2 (x - 3)

Step-by-step explanation:

Point-slope form of an equation is a shortcut, fill-in-the-blank way to write the equation of a line. All you need is slope (usually symbolized with an m) and a point (any point on the line)

Here's Point-slope:

y - Y = m (x - X)

The slope they gave you is 1/2, put that in for the m.

And also fill in 3 for the X and -1 for the Y. Because a point is (X,Y)

Just leave the first y as a y, right there. And leave the first x in the parentheses as an x. They are variables in the equation. They stay letters.

y - -1 = 1/2 (x - 3)

Simplify.

y + 1 = 1/2 (x - 3)

Minus a negative is the same as plus a positive, that's what happened there on the left. Also, when you write it, make sure the 1/2 is beside the parentheses on the right. The parentheses should not be on the bottom with the 2, but just beside the fraction.

Step-by-step explanation:

3.

we need to find the map size based on actual miles.

so, we find how many map ft are 1 actual mile :

5 ft / 20.5 corresponds to 1 actual mile.

5 / 20.5 = 10/41 ft

now, we have 15.5 actual miles, that is 15.5 times the 1 standard actual mile.

and so, this is

10/41 × 15.5 = 155/41 = 3.7804878048780... map ft

4.

30.5 model cm = 70.6 actual m

1 model cm = 70.6/30.5 = 2.314754098... actual m.

8 model cm = 8×2.314754098... =

= 18.51803279... actual m

5.

7 map m = 14 actual miles

1 map m = 14/7 = 2 actual miles.

14 map m = 14×2 = 28 actual miles.

6.

8 map km = 6 actual miles

we need to calculate the map km, so we need the standard actual mile

1 actual mile = 8/6 = 4/3 = 1.3333333... map km.

50.2 actual miles = 50.2×1.333333... =

= 66.93333333... map km.

7.

80.2 model cm = 40.2 actual m

1 model cm = 40.2/80.2 = 0.501246883... actual m

10 model cm = 10×0.501246883... =

= 5.01246883... actual m

8.

6 map m = 15 actual miles

1 map m = 15/6 = 5/2 = 2.5 actual miles

8.8 map m = 8.8×2.5 = 22 actual miles

9.

5 map ft = 16.5 actual miles

1 actual mile = 5/16.5 = 0.303030303... map ft

45.6 actual miles = 45.6×0.303030303... =

= 13.81818181... map ft

10.

65.8 model cm = 95.6 actual m

1 model cm = 95.6/65.8 = 1.452887538... actual m

12 model cm = 12×1.452887538... =

= 17.43465046... actual m

The probability of workers who earn between rs. 35,000 and rs. 52,000 is 99.62 %.

A data set with a normal distribution has the majority of its values clustered in the middle of the distribution and the remaining values tapering off symmetrical toward either end.

For the given question;

z = (x - μ)/σ

In which,

x = sample mean

μ = mean  (48,000)

σ = standard deviation (1500)

x = 35,000 and x = 52,000

For x = 35,000.

z = (35,000 - 48,000)/1500

z = -8.66

Check the p value from table

p(z = -8.66) = 0

For x = 52,000

z = (52,000 - 48,000)/1500

z = 2.66

p(z = 2.66) = 0.99617

P(35,000 < x < 52,000) = 0.99617 - 0

P(35,000 < x < 52,000) = 0.99617

Thus, the probability of workers who earn between rs. 35,000 and rs. 52,000 is 99.62 %.

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Answer:

x=-3

Step-by-step explanation:

we can fill the y into the first equation since we already know what it is equal to

5x+4(1-x)=1

5x+4-4x=1

x+4=1

  -4. -4

x=-3

Hopes this helps please mark brainliest

Answer:

5x + 4y = 1

Answer: x = 1/5 - 4y/5

y = 1 - x

Answer: x = −y + 1

Step-by-step explanation:

Please give the brainliest, really appreciated.

Between the two variables, the number of cold, snow days, and the amount of hot chocolate sold at a ski resort, there is causation.

For two variables x and y, we have causation when a change in one of the variables causes an immediate change in the other variable as a response.

Here we have the two variables:

x = number of cold, snow days.

y = amount of hot chocolate sold at a ski resort.

Obviously, there is a correlation there, we can even assume that if the days are cold enough, a larger percentage of the people in the ski resort will decide to stay there, and then there is a larger posibility that they will consume hot chocolate there, so yes, there is causation between these two variables.

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Answer:

A

Step-by-step explanation:

function because for every x there is only one y

the domain are the value of x

the range are the value of y