Multiply 39.341 × 0.72 =

Answer: The number 0.1453 belong to rational numbers and real numbers.

Step-by-step explanation:

Therefore,

The number 0.1453 belong to rational numbers and real numbers.

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If you contribute $8,000 every year for 5 years, the interest would you would earn during the 5 years is:6005.91

What is future value of annuity?

The future value of the annuity means the future worth of 5 annual contributions  of $8000 every year, based on the fact that the deposits would earn 7.0% interest rate every year, in short, the worth of the savings in 5 years can be determined using the future value of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=accumulate balance after 5 years=unknown

PMT=annual savings=$8,000

r=interest rate per year=7.0%

N=number of annual payments over 5 years=5

FV=$8000*(1+7.0%)^5-1/7.0%

FV=$46,005.91

Total deposits in 5 years=$8000*5=$40,000

Interest =FV-total deposits

interest=$46,005.91-$40,000

interest=$6,005.91

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Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD. The lines CD and GH cannot be defined. The lines AB and GH cannot be defined. Lines IJ and CD are perpendicular

Two lines are said to be parallel if :  m(1) = m(2).

Two lines are perpendicular to each other if : m(1) x m(2) = -1.

We have to classify the set of these lines as; Parallel, Perpendicular or Cannot Be Determined.

1. Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD.

2. The lines CD and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.

3. The lines AB and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.

4. Lines IJ and CD are perpendicular; because they intersect each other at right angle.

Hence, the solutions to the table are shown above as options.

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Answer:First, determine the total number of hours worked by multiplying the hours per week by the number of weeks in a year (52). Next, divide this number from the annual salary.if an employee has a salary of $50,000 and works 40 hours per week, the hourly rate is $50,000/2,080 (40 x 52) = $24.04.

Step-by-step explanation:

Divide the gross pay by the wage hours worked. For example, if your records show that the employee was paid $4,000 for the total month, divide 4,000 by 172 to reach $23.26. This is an accurate representation of an hourly rate for that employee's monthly work.

Answer: 40

Step-by-step explanation:

when x=0, y=0

when x=2.5, y=100

(y2-y1)/(x2-x1)=

(100-0)/(2.5-0)=

100/2.5=40

Answer:

40

Step-by-step explanation:

the point on the graph is (1,40).  The ordered pair is in the form (x,y)  The constant of proportionality is the y/x or 40/1 which equals 40.

Answer: -3

Step-by-step explanation:

The number of possibilities that are there to choose 3 balls is 6.

From the information, we have a bottomless bag of 3 different kinds of balls: blue, green, and red.

The number of possibilities that are there to choose 3 balls will be:

= 3!

= 3 × 2 × 1

= 6 possibilities.

Therefore, the number of possibilities that are there to choose 3 balls is 6.

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The graph of the equation of the line y = k · x + 1 is shown in the image attached below.

In this problem we know that a function represents a line and that a point belongs to it. The equation of the line is of the form:

y = k · x + 1

Where k is the slope of the line equation.

If we know that (x, y) = (1, 3), then the equation of the line is:

3 = k + 1

k = 2

Then, the equation of the line is y = 2 · x + 1 and we proceed to graph the equation by means of a graphing tool. The result is presented in the image attached below.

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In the expression 5 + 2 + 5x + 2x + x we can combine the like terms to get the simplified form of the expression as 7 +8x.

If two words have the same variable portion, we refer to them as "like terms." When comparing algebraic terms to locate similar terms, we first disregard the coefficients and merely check to see if the variables and exponents are the same. The terms that meet this requirement are known as like terms.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given expression 5 + 2 + 5x + 2x + x

Combine the like terms

5 + 2+ 5x + 2x +x

=(5+2) + (5+2+1)x

= 7+ 8x

This is the simplified form of the given expression.

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Answer:

y = 3/2x -11/4

Step-by-step explanation:

6x - 4y = 11

Solve for y

Subtract 6x from each side

6x-6x - 4y =-6x+ 11

- 4y =-6x +11

Divide each side by -4

-4y/-4 = -6x/-4 + 11/-4

y = 3/2x -11/4

Answer:

[tex] \sf \: y = \frac{(11 - 6x)}{ - 4} \\ [/tex]

Step-by-step explanation:

[tex] \sf \: First, \: take \: 6x \: to \: right \: side.[/tex]

[tex] \sf \: - 4y = 11 - 6x[/tex]

[tex] \sf \: Now \: divide \: both \: sides \: by \: -4 \: to \: make \: y \: the \: subject. [/tex]

[tex] \sf \: \frac{ - 4y}{ - 4} = \frac{(11 - 6x)}{ - 4} \\ \sf \: y = \frac{(11 - 6x)}{ - 4} [/tex]

She has the exact amount of fabric that she needs for this project.

We know that she is in charge of 40 campers, and she wants to make fabric-covered frames, such that each one needs 1/6 yards of fabric.

We know that he has a total of 6 + 2/3 yards to do this, and we need to see if that is enough.

Now, for each one of the 40 campers she needs 1/6 yards, so the total amount she needs is given by the product:

T = 40*(1/6 yards) = 40/6 yards = (36 + 4)/6 yards = (6 + 4/6) yards

T = (6 + 2/3) yards

So she has the exact amount of fabric that she needs for this project.

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Answer:

[tex] - \frac{8}{5} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{ \\ 2}{5} + \frac{4}{5} = - \frac{8}{5 \\ } [/tex]

The amount of blend that the barista can make is 2

Percentage can be defined as the ratio of a number to 100.

It is represented using the symbol; '%'

From the information given, we have;

To get the amount of blend, we have;

= 25% of 8 pound

This is expressed as;

= 25/ 100 × 8

= 0. 25 × 8

= 2 blends

Thus, the amount of blend that the barista can make is 2

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Answer:

Step-by-step explanation:

169 cars are remaining in the parking lot

There are 260 cars in the parking lot

This number decreased by 35%

100% - 35%

= 65%

65/100

= 0.65

The number of cars left can be calculated as follows

= 260 × 0.65

= 169

Hence there are 169 cars left in the parking lot

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On a long hike Lucy drank 6 pints of water, which is equal to 3 quarts.

An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One liter is roughly equivalent to each. It is divided into four cups or two pints (in the US). The precise dimensions of the quart have historically changed in line with shifting values of gallons over time and in relation to various commodities.

A measure of liquid capacity that is equal to two pints or a quarter of a gallon, or roughly 0.94 liter in the US and 1.13 liter in the UK.

Since, 1 quart = 2 pints

Therefore by unitary method we can say,

2pint= 1 quart

6pint= 3quarts

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Answer:

Distance is [tex]\sqrt{85}[/tex] or 9.2195...

Hope this helps!

Step-by-step explanation:

d = [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]

d = [tex]\sqrt{(13 - 7 )^{2} + (0-(-7)^{2} }[/tex]

d = [tex]\sqrt{(6)^{2} +(7)^{2} }[/tex]

d = [tex]\sqrt{36 + 49}[/tex]

d = [tex]\sqrt{85}[/tex]

d = 9.2195444...

The ratio between the money he spent and the total sum he had , the ratio between the money left and the total sum he had, the ratio between the money left and the money he spent.​ are 29:60, 31:60 and 31:29 respectively.

Ahmed has L.E. 15 which when converted in piastres, it is 1500 piastres

He spent 725 piasters and the money left with Ahmed is 1500-725 which is 775 piastres

The ratio between the money spent and the total sum is 725:1500 which is simplified to 29: 60 by dividing both with anything which is common in both that is 25

The ratio between the money left and the total sum he had is 775:1500 which is simplified to 31:60 by dividing both with anything which is common in both that is 25

The ratio between the money left and money spent is 775:725 which is simplified to 31:29 by dividing both with anything which is common in both that is 25

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The number of many matinee and prime-time movie tickets were sold that day are

A linear equation in two variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.

For the given question.

Let 'x' be the number of matinee showings.

Let 'y' be the number of prime-time showings.

Then. the total ticket sold are 1,411.

Thus, x + y = 1,411.

or, x = 1,411 - y

The cost of one matinee showings is $9.

The cost of one prime-time showings is $13.50.

Now, the total cost earned is $17,149.50.

So,

9x + 13.5y = 17,149.50

Put the value of the 'x' in the above equation.

9(1,411 - y) + 13.5y = 17,149.50

Simplifying;

12699 - 9y + 13.5y = 17,149.50

4.5y = 4450.5

y = 989.

Calculate x;

x = 1,411 - 989

x = 422

Therefore, the number of matinee and prime-time movie tickets were sold that day are 422 and 989.

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The numbers of the three subjects​ selected are 6,3 and 9.

The subjects that will go in the treatment group Fred, Christine and Ivan

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given:

Nine people volunteer for the​ experiment: Amanda,​ Brian, Christine,​ David, Emily,​ Fred, George,​ Heather, and Ivan.

line/column     (1)             (2)           (3)          (4)

      1              22663    42156    60419    98022

      1              16901      87295    56738   04619

     1               63949      92781      15658      58219

So, the numbers of the three subjects​ selected are 6,3 and 9.

and, Fred, Christine and Ivan are the three subjects.

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The difference quotient of the function f(x) = 4x + 2 is 4.

Functions were originally the idealization of how a varying quantity depends on another quantity.

The given function is,

f(x) = 4x + 2

For a given function f(x), we define the difference quotient as:

[tex]\frac{f(x+ h)-f(x)}{h}[/tex]

Thus, for the given function, difference quotient is given as,

[tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4(x+h)+2-(4x+2)}{h}[/tex]

expanding the brackets we get,

[tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4x+4h+2-4x-2}{h}[/tex]

Solving we get,

⇒ [tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4h}{h}[/tex]

Thus,we get

⇒ [tex]\frac{f(x+ h)-f(x)}{h}[/tex] = 4

Thus, the difference quotient of the function f(x) = 4x + 2 is 4.

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Answer:

do u want me to graph or solve it

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

I believe that is your answer

[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{10} \\\\\\ \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}{4}=\stackrel{m}{ \cfrac{1}{10}}(x-\stackrel{x_1}{(-10)}) \implies y -4= \cfrac{1}{10} (x +10) \\\\\\ y-4=\cfrac{1}{10}x+1\implies {\LARGE \begin{array}{llll} y-\cfrac{1}{10}x+5 \end{array}}[/tex]

Answer:

Step-by-step explanation:

0

Answer:

3 ft and 9 ft

Step-by-step explanation:

Step-by-step explanation:

f(x) = x² - 3x + 5

f(-2) = (-2)² - 3.(-2) + 5

f(-2) = 4 + 6 + 5

f(-2) = 15

Answer:

Step-by-step explanation:

Comment

In general, f(x) can be thought of as being y. So the equation could read as "Let x = - 2" when y = x^2 - 3x + 5.

Another way of thinking of it is by saying f(-2), wherever you see an x on the right hand side, substitute the value given on the left side (in this case x = - 2

Solution

f(-2) = (-2)^2 - 3x + 5

f(-2) = 4 - 3(-2) + 5                   Combine

f(-2) = 4 + 6 + 5                        Add

f(-2) = 15

The coordinates of G after it is rotated by 90 degrees will be ( 3, 4 ).

The process of changing the location of the image on the coordinate system will be known as the translation.

Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x). To put it another way, flip x and y, and make y-negative.

Given that point, G is translated to 90 degrees. The translated coordinates of point G will be calculated as:-

( -x, y ) = ( y, x )

( -4 , 3 ) = ( 3 , 4)

Therefore, the coordinates of G after it is rotated by 90 degrees will be ( 3, 4 ).

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Answer:

10 visits

Step-by-step explanation:

Let's model the expressions:

Now set them to equal each other to find x, the number of visits

50 + 2x = 30 + 4x Subtract 2x

50 = 30 + 2x Subtract 30

20 = 2x Divide by 2

10 = x

After 10 visits to the gym, the cost will be the same.

Answer:

The answer is 4!

Answer:

A

Step-by-step explanation: