Sum and Difference Identities
Find the value of the expression.
cos(-pi/12)
What would -pi/12 be the sum or difference of?

Answer:

x = 30

Step-by-step explanation:

x = 90 - 60 = 30

x = 30

.................................................

Answer:

8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8

Step-by-step explanation:

To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8

Answer:

The answer would be fx=4(2x)

Step-by-step explanation:

have a good day!!

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

The given linear inequality is,

[tex]2y > x - 2[/tex]

Solve it further,

[tex]2y > x - 2\\2y-x > - 2[/tex]

Change the inequality with changing the sign of it,

[tex]x-2y < 2[/tex]

The inequality equation is graphed, which can be shown in the image provided below. In this graphed equation,

Thus, on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

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Answer:

Francis has $1,993.46 left of his pay stub

Step-by-step explanation:

earns $3437 dollars

42% to tax (yikes! almost half of their pay)

42% of $3437 dollars: $3437 x 0.42 = 1,443.54

Francis is paying $1,443.54 in taxes

$3437 - $1,443.54 = $1,993.46

Answer:

yes

Step-by-step explanation:

Each batch requires   2/3 c / batch

  time 4 batches:    4 * 2/3 = 8/3 cups = 2 2/3 cups

    he has 3 cups ,  so he has enough to make 4 batches

Answer:
56

Step-by-step explanation:

with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal

Answer:

  4.23 square units

Step-by-step explanation:

The area of the triangle is given by the formula ...

  K = 1/2ab·sin(C)

__

Filling in the given values, we find the area to be ...

  K = 1/2(4)(5)sin(25°) = 4.23 . . . . square units

Answer:

268.08 cubic inches

Step-by-step explanation:

I'm sorry if this isn't helpful

Answer:

2.75

Step-by-step explanation:

Answer:

4 27/56

Step-by-step explanation:

−4 3/8 + 8 6/7

8 6/7−4 3/8

subtract whole numbers 8-4=4

combine fractions 6/7-3/8=27/56

4+27/56

=4 27/56

Answer:

See below ~

Step-by-step explanation:

Circle 1

Circle 2

Answer:

circumference with diameter 5=15.7m

area with diameter 5=19.625m²

Answer:

3y = -2x + 1

Step-by-step explanation:

Equation of given line is 2y = 3x + 2

==> y = (2/2)x + 1

Slope = 3/2

Slope of perpendicular line is negative of reciprocal of given line ie slope = -2/3

So equation of perpendicular line is of the form

y = (-2/3)x + c where c is a constant

Given that this passes thru x= -1, y =1 we can substitute these values in the above to get

1  =  (-2/3)(-1) + c
This yields 1 = (2/3) + c or c = 1-2/3 = 1/3

So the equation of the perpendicular line is

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

3y = -2x + 1

Answer:

[tex]-20\sqrt{3}-5\sqrt{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]

Rewrite 12 as 4 · 3  and 50 as 25 · 2 and 48 as 16 · 3 :

[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]

[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]

As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:

[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]

Simplify:

[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]

Collect like terms:

[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]

Combine like terms:

[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]

             - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 10 for y₁, 6 for m and 4 for x₁:-

[tex]\sf{y-10=6(x-4)}[/tex]

On simplification,

[tex]\sf{y-10=6x-24}[/tex]

Adding 10 to both sides results in:-

[tex]\sf{y=6x-14}[/tex]

So we conclude that Option A is correct.

         - -  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Part A: The IQR for the males' data.  23

Part B: The difference between the median values of each data set. 13

Part C: The distribution of the data and if the mean or median would be a better measure of center for each Median for the males and Mean for the females

Part D:The possible reason for the outlier in the data set. The day the movie premiered

The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month

The known parameters

The 5 number summary in a are;

Minimum                                         0           0

FIrst Quarlite Q1                             2           5

Second Quarlite, Mediun Q2        20         7

Third Quarlite                                 25         40

Maximum                                        50         18

Outlier                                                           46

Part A:

The Inter Quartile Range, IQR = Q₃ - Q₁

For the males, we have, IQR = 25 - 2 = 23

Part B:

The difference between the median values for the males and females is given as follows;

Difference between median = Q₂ Males - Q₂ Females

∴ Difference between median = 20 - 7 = 13

The difference between the median values for the males and females = 13

Part C:

The distribution of the data for the males is skewed left, with almost all the data in the first half

The better measure of center for the skewed data is the median, given

that three quarter of the data have values that are less than half of the

range of values in the data set, and that the median is close to the third

quartile, the mean will be located further towards the minimum value of

the data than the median

The distribution of the data for the females consists of the interquartile range located approximately in the middle between the max and the min values with the median being close to the first quartile, therefore, the mean will be a better measure of center as it will be located further from the first quartile and closer midway in the IQR

Part D;

The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered

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Answer:= 0.124688 oz per fl

Step-by-step explanation:

This is a fraction equal to

3.99 oz ÷ 32 fl

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 32

3.99 oz ÷ 32

32 fl ÷ 32

=

0.124688 oz

1 fl

=

0.124688 oz

fl

= 0.124688 oz pe

Answer:

A = 50.24 inch^2

Step-by-step explanation:

Area = πr^2

So we have r =4inch and let π = 3.14

A = 3.14 * 4^2

A = 50.24 inch^2

Answer:

well when its simplyfied its 91

Step-by-step explanation:

27 + 64 mutipliction first

27 + 64 = 91

If the volume of the aluminum will be 48 cubic m. Then the density of the aluminum will be 2700 kg per cubic m.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129,600 kilograms.

The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters.

Then the density of the aluminum will be

The volume of the aluminum brick will be

V = 6 x 2 x 4

V = 48 cubic m

Then the density will be

D = 129600/48

D = 2700 kg per cubic m

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The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equations are given below.

− 3x + 5y = 22 or 3x = 5y − 22   ...1

 20y − 11 = 12x or 12x = 20y − 11   ...2

The system of the equations follows the condition that will be

12/3 = 20/5 ≠ 11/22

4 = 4 ≠ 1/2

This is the condition for the parallel lines or no solution.

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Answer:

2x + y = 4, 5y = 10x + 4

is a system of linear equations representing intersecting lines.

2x + 3y = 21, -6y = 4x + 1

is a system of linear equations representing parallel lines.

-2x + 4y = 9, 8y = 4x + 18

is a system of linear equations representing coincidental lines.

Step-by-step explanation:

Graphed them all.

Answer:

1 / 64

Step-by-step explanation:

(2^2)^-3

apply exponent rule: (a^b)^c = a^(bc)     a ≥ 0

2^((2) - 3)

((2) - 3) = -6

2^-6

apply exponent rule: a^-b = 1 / a^b

2^-6 = 1 / 2^6

2^6 = 64

1 / 64

Let me know if you have any questions !

Answer:

$8.8 per hour

Step-by-step explanation:

Well, the equation is simple.

Time (hours) * Money (per hour) = Total

We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number

12.5 * money = 110

To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working

money = 110/12.5

money = 8.8$

You can also check it out to make sure it's correct.

If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out

8.8 * 12.5 =?

8.8 * 12.5 = 110, the same total amount so our solution must be correct.

The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

The problem can be solved as,

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Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.

It means that the value of the digit is multiplied by 10.

Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.

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Answer:

Can you show me the question? Because the picture doesn't have enough datum

Work Shown:

tan(angle) = opposite/adjacent

tan(X) = ZY/XY

tan(X) = 32/24

tan(X) = (8*4)/(8*3)

tan(X) = 4/3

Answer:

las negras, 1/3 es mayor

Step-by-step explanation:

Espero te sirva <3

499

199

+-------  the answer is 698 you have to add 499 and 199.