Through how many radians does the minute hand of a clock rotate from12:40 PM to 1:10 PM?o10- 10The minute hand rotates through radians.(Simplify your answer. Type an exact answer in terms of Use integers orfractions for any numbers in the expression)-10

⇒In this case what is in the brackets is being treated as being the term . so this means that if we are to expand then we expand the whole term in full detail.

⇒In this case we have x+7 as the term of the expression which means when we expand we are going to expand the whole term x+7

[tex]=(x+7)^{2} \\=(x+7)(x+7)[/tex]

The third option is the answer.

GOODLUCK!!

Answer:

  $29.16

Step-by-step explanation:

You want the total cost of a $27 meal after 8% tax is added.

The amount of added tax is found by multiplying the meal cost by the tax rate:

  0.08 × $27.00 = $2.16

The total cost is the meal cost plus the tax:

  $27 +2.16 = $29.16 . . . . actual cost of the meal

__

Additional comment

The sum 27 + 0.08×27 can also be found by factoring out the 27:

  = 27(1 +0.08) = 27×1.08

A.) [tex]x = 2[/tex]

B.) [tex]x=1[/tex] (Nothing further can be done with this.)

C.)  [tex]x=2[/tex]

_____________________________________

Hope this helps! If not, feel free to comment below on the matter and I'll see what else I can do to assist you further. If it did help though, feel free to lmk! Thanks and good luck!

Answer:

-4/7, 18/7

Step-by-step explanation:

[tex]4x+7y=18 \\ \\ 7y=-4x+18 \\ \\ y=-\frac{4}{7}x+\frac{18}{7}[/tex]

the height in the first case will be 191 cm and the weight in the second case will be 106 kg.

We are given the function as:

BSA = √( w h / 3600)

where:

h = height

w = weight

BSA = body surface area

1) Now, for w = 68 kg and BSA = 1.9, we get the height as:

1.9 = √( (68) h / 3600)

3.61 = 68 h / 3600

12,996 = 68 h

h = 12996 / 68

h = 191.12 cm

h ≈ 191 cm

2) for h = 165 cm and BSA = 2.2, we get the weight as:

2.2 = √( w (165) / 3600)

4.48 = 165 w / 3600

17424 = 165 w

w = 17424/ 165

w = 105.6 kg.

w ≈ 106 kg

Therefore, we get that, the height in the first case will be 191 cm and the weight in the second case will be 106 kg.

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a. Absolute value function the reference beam is g(x) = |8x/5|.

b. g(x) = +8x/5 ; x < 5 and g(x) = -8x/5 > 5.

For the given function;

Part a: The reference beam is passing from the points;

(x₁, y₁) = (5, 8)

(x₂, y₂) = (0, 0)

Then the slope of the line is -

m = (y₂ - y₁)/(x₂ - x₁)

Put the values ;

m = (0 - 8)/(0 - 5)

m = 8/5

The equation of the line is;

y - y₁ = m(x - x₁)

Put the values;

y - 0 = 8/5(x - 0)

y = 8x/5

Or in absolute modulus function for the path of reference beam; y = |8x/5|.

Part b: absolute function in terms of piecewise function;

g(x) = +8x/5 ; x < 5 as the slope is increasing.

and g(x) = -8x/5 > 5.;  as the slope is decreasing.

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Using it's concept, the probability that the subject​ lied, given that the test yields a positive result is of 9/11 = 0.8182 = 81.82%.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

In this problem, we want to find the probability that the subject​ lied, given that the test yields a positive result, hence:

From the table, we have that:

Hence the probability is given as follows:

p = 45/55 = 9/11 (simplifying by 5)

p = 9/11 = 0.8182 = 81.82%.

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Notice that the parent function of y is:

Now, recall that a function h(x) translated n units to the left is represented by:

translated m units up :is represented by

reflected across the x-axis :is represented by

vertically compressed by a factor of 1/k :is represented by

Therefore, y is f(x) translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.

y is its parent function translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.

The recipe of the junk calls for 16/7 cups of sugar

From the question, the given parameters are:

Total number of cups = 8

Let the number of cups of sugar be x and the number of cups of flour be y

So, we have the following equation

x + y = 8

Also, we have:

The recipe uses 1/4 cup more sugar, so the amount of sugar equals half the amount of flour

This means that

(1 + 1/4) * x = 1/2 * y

Evaluate the sum and the products

So, we have

5/4x = 1/2y

Make y the subject

y = 5/2x

Substitute y = 5/2x in x + y = 8

x + 5/2x = 8

Evaluate the sum

3.5x = 8

Divide by 3.5

x = 16/7

Hence, the cups of sugar is 16/7

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A small order coffee company charges $12 for each bag of coffee +3 dollars shipping no matter how many bags are ordered. Describe the function that this situation gives rise to. make a table for this function, sketch a graph for this function, and find an equation for this function. Is the function linear or not? How can you tell?

Step 1

Describe the function,

.

Let

x, the number of bags

shipping = 3 dollars

Charges=$12 for each bag, then

charges=12*x

Now, the total is

total=charges + shipping

total=12x +3

now, we have a function ( the total (y) depends on the number of bags)

where

y is the total charge, and x is the numbers of bags

Step 2

assume values for x, replace and find y

x=-3

then y=12(-3)+3, y=-36+3, y=-33

so, when x=-3, y=-33

2

then y=12(-2)+3, y=-24+3, y=-21

so, when

x=-2, y=-21

1

then y=12(-1)+3, y=-12+3, y=-9

so, when

x=-1, y=-9

0

then y=12(0)+3, y=+3, y=3

so, when

x=0, y=3

1

then y=12(1)+3, y=12+3, y=15

so, when

x=1, y=15

the table is

x y

-3 -33

-2 -21

-1 -9

0 3

Step 3

, just sepick two cooridnadinates from the table mak, then mark those pintsoints, and finally, dwr in the planeaaw a line conceeecting he connectingnts

Step 4

as you can see, when we take the points of the table and we unite them, a line appears

so , this is a linear function

Also, the exponent of the variable ( x) is cero, which means it is a linear function.

Answer:

-4

Step-by-step explanation:

14= -5c-6

+6 +6

________

20 = -5c

÷-5 ÷-5

________

-4 = c

The 2 conservative numbers whose square differs by 25 are 12 and 13.

It should be noted that consersative numbers simply refer to the numbers hat follow each other continuously in a particular order. They include 1, ,2, 3, etc.

In this case, the two conservative numbers whose square differs by 25 are 12 and 13. This will be illustrated as:

= 13² - 12²

= 169 - 144

= 25

Therefore, the numbers are 12 and 13

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By using the elimination method,  the numbers are 11 and 30

Consider the first number as x and the second number as y

Sum of 5 times the first number and 6 times the second number is 235

The linear equation will be

5x+6y = 235

The difference between 7 times the first number and 17 is 2  times the second number

7x-17 = 2y

Rearrange the terms

7x-2y = 17

The both equations are

5x+6y = 235

7x-2y = 17

Multiply the first equation by 2 and second equation by 6

10x+12y = 470

42x-12y = 102

Here we have to use the elimination method

Add both equation and y term will cancelled

10x+42x = 470+102

52x = 572

x = 11

Substitute the value of x in any equation

5x+6y =235

5(11)+6y = 235

55+6y = 235

6y = 180

y = 30

Hence, by using the elimination method,  the numbers are 11 and 30

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Answer:

3/26

Step-by-step explanation:

you simply divide both numbers by there largest lcm which is 3

9/3=3

78/3=26

Together 3/26

The slope of line passing through the pair of points (4,3) and (2,2) is 1/2.

Slope is simply expressed as change in y-values over the change in x-values.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 4,3 )

Point 2( 2,2 )

Slope m = ?

Plug the given coordinates into the slope formula and solve for m.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 2 - 3 )/( 2 - 4 )

Slope m = ( -1 )/(-2 )

Slope m = ( 1 )/( 2 )

Slope m = 1/2

Therefore, the slope of the line segment with the given coordinates is 1/2.

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Based on the annuity payment that Marie will make and the number of years, the nt value that she will use in her formula is 360 months.

The nt value is the number of periods that Marie will need to pay her annuity payment. This value can be yearly, monthly, weekly and even daily.

As the mortgage compounds monthly in this instance, the nt value will need to be monthly as well.

To find the nt value, the formula is:
= Number of years x number of compounding periods per year

= 30 x 12 times a year

= 360 months

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Answer:

360

Step-by-step explanation:

i did that and i got it right

Explanation

In the question, we are given that

First, we will get the standard deviation of the sample mean as

Then, we can find the probability that the sample mean will be less than $21,635 for a sample of 193 persons

Therefore, using the z score calculator

Answer: 0.7232

List 3 points that are on the line 5y= 3x - 7.

We know that the y-intercept is (0, -7)

We know that slope = 3 and slope = rise / run or 3 y for every 1 x

We can add 1 for the x and 3 for the y: (0, -7) to (1, -4).

We can do that again:add 1 for the x and 3 for the y: (1, -4) to (2, -1).

(0, -7)

(1, -4)

(2, -1)

The product when multiplying by powers of 10 is 6 ×[tex]10^{10}[/tex] = 60000000000

The fundamental concept of repeatedly adding the same number is embodied in the process of multiplication. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors that are multiplied are referred to as the factors. The process of repeatedly adding the same number is made easier by multiplication.

Finding the product of two or more numbers is done by multiplication. It is a fundamental mathematical operation that is frequently applied in everyday situations. When combining groups of similar sizes, multiplication is utilized.

Given that :The table shows the equations Ms. Valer discussed in math class Equations

6 x 10°= 6

6× 10¹ =60

6 x 10=600

6x 10³=6,000

6 ×[tex]10^{10}[/tex] = 60000000000

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The terminating category consists of 2%, 3/4, and 105/15.

The non-terminating category consists of  1/3, 15/7, and 81/11.

Given: 2%, 3/4, 105/15, 1/3, 15/7, 81/11

To determine whether these fractions are terminating or non-terminating decimals,

2% = 2/100 = 0.02

It is a terminating decimal.

3/4 = 0.75

It is a terminating decimal.

105/15 = 7

It is an integer, hence terminating.

1/3 = 0.3333333...

It is a non-terminating decimal.

15/7 = 2.14285714

It is a non-terminating decimal.

81/11 = 7.36363636

It is a non-terminating decimal.

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Answer:

Defined: M-N

Not defined: Q+P, M+P, L-N

Step-by-step explanation:

Just took the test

The given table shows that does not show a proportional relationship, as the ratio between the output and the input is not the same for all terms of the table.

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, as defined below.

y = kx

In this problem, we have that:

To verify if it shows a proportional relationship, we have to divide the output by the input in each case, hence:

Due to the different constant for 4 pounds, the table does not show a proportional relationship,

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Consider the given radical,

Factorize the number,

Consider the following properties,

Then the radical can be simplified as,

Thus, the radical is simplified as,

The expression m = a + n + p can be written as a = m - n - p after making the subject a.

It is defined as the combination of constants and variables with mathematical operators.

The expression is:

m = a + n + p

To solve for a make the subject as a:

a = m - n - p

Thus, the expression m = a + n + p can be written as a = m - n - p after making the subject a.

The question is incomplete.

The complete question is:

Solve for a, if the expression is m = a + n + p.

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Dividing (2x³ - 9x² + 14x - 2) by (x - 1) with synthetic division method given the remainder 5 and the quotient 2x² - 7x + 7 + (5/x-1).

So, 2x³ - 9x² + 14x - 2 ÷ x - 1 by synthetic division as follows:

2x³ - 9x² + 14x - 2 ÷ x - 1:

Therefore, dividing (2x³ - 9x² + 14x - 2) by (x - 1) with synthetic division method given the remainder 5 and the quotient 2x² - 7x + 7 + (5/x-1).

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The longest and shortest possible lengths of the third side of the triangle are 4.9 cm and 11.1 cm.

It states that the opposite side of a triangle is divided into segments by each angle bisector that are proportional in length to the adjacent sides.

Given:

An angle bisector divides the opposite side of the triangle into segments 6 cm and 4 cm long.

Second side of the triangle is 7.4 cm.

We have to calculate the longest and shortest possible lengths of the third side of the triangle.

By Angle Bisector Theorem we can solve this problem,

In the triangle ABC, AD is the angle that bisects angle A, placing D on side BC.

Now, BD / DC = AB / AC

BC = 6 + 4 = 10 cm

Angle bisector divides BC into 2 segments,

BD = 6 cm

CD = 4 cm

If AB = 7.4 cm,

6/4 = 7.4 / AC

AC = 7.4(4) / 6

AC = 29.6 / 6

AC = 4.94 cm (shortest possible length of the third side of the triangle)

If AC = 7.4 cm

6/4 = AB/7.4

AB = 6(7.4)/4

AB = 44.4/4

AB = 11.1 cm (longest possible length of the third side of the triangle)

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Answer:

I don't know

Step-by-step explanation:

I don't know

When an image is dilated by a factor of 3, the statement about the image of the figure that is true is Both the area and the perimeter increase.

When a shape is dilated, the effect on the shape is that its dimensions are made to be longer. For instance, a shape dilated by 2 would see all its dimensions increase by 2.

In the case of a figure that is dilated by a factor of 3, it means that the shape would increase by 3 in size.

The effect of this is that the perimeter would increase by 3. The area of the figure would also increase thanks to the increase in dimensions by 3.

Options for this question include:

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Based on the number of states and their electoral votes in the 2020 presidential election, the intervals with 11 states are:

The graph on electoral votes by state in 202, gives the number of electoral votes as a range from 0 to 21 but in intervals of 3.

In 0 - 3 electoral votes, the number of states is 16.

In 3 - 6 electoral vote interval, number of states is 11.

In 6 - 9 electoral vote interval, number of states is 11.

In 9 - 12 electoral vote interval, number of states is 3.

In 12 - 15 electoral vote interval, number of states is 3.

In 15 - 18 electoral vote interval, number of states is 3.

In 18 - 21 electoral vote interval, number of states is 4.

The two intervals with 11 states are therefore 3 - 6 and 6 - 9.

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If y varies directly with x, that means there is going to be a constant that connects both the x and y variable.

The appropriate direct variation equation is stated above, and that is;

y = 8/3x