simplify each of the following.
5.1.
[tex]2 sin(90 - x ) - cos(360 - x)[/tex]
​

Answer:

He bought 73 bags of pellets this year.

Step-by-step explanation:

Since this year the amount increased by 40%, we can say that it is 100% + 40% = 140% = 1.4 of lasts years amount.

Last years amount was of 52 bags.

So, this year:

52*1.4 = 73

He bought 73 bags of pellets this year.

Answer:

135

Step-by-step explanation:

Hello There!

The angle that has a measure of 45° and x are supplementary angles meaning that the sum of the two angles is 180

so x can be found by subtracting the given angle (45 in this case) from 180

180 - 45 = 135

so x = 135

Answer:

135

Step-by-step explanation:

When there's a completely straight line the angle is 180 and when u have a angle already there you subtract 180 from the angle in this case 180-45=135

Step-by-step explanation:

(-2xy^3)^3

(-2(4)(-1)^3)^3

(-2(4)(-1))^3

(8)^3

512

Answer:

3(5 + 7)

Step-by-step explanation:

Shana is carrying our a craft project

She is making use of yarns and stuck

She has three green yarn pieces and seven blue yarn pieces

She has three times as many yarn pieces

Therefore the expression can be represented as follows

3(5 + 7)

Answer:

fraction 1 over 2 the difference of 734 and 246.

Answer: y=-2

Step-by-step explanation:

Based on the location of the line and the focus of the parabola, the equation of the line will be y = -2.

The line is a horizontal line which means that the primary focus will be on the y axis.

The focus of the parabola is at F(6, 4) and the line is to be 6 units below this focus which means that the line on the y axis will be at:

= 4 - 6

= -2

This leaves the formula of the line as y = -2.

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Answer:

x=41

Step-by-step explanation:

x/50=82/100

cross multiply

100x= 82×50

100x= 4100

x= 4100/100

x= 41

check our work

41/50 × 100= 82 percent

Answer:

It’s either A OR B

Step-by-step explanation:

Answer:

choice 2) 4/3πr³

Step-by-step explanation:

The volume of the sphere is 678.24 u³  

V = ⁴⁄₃ * π * (6u)³

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 6 units

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (6u)³

V = 4.187 * 216 u³

V = 678.24 u³

The volume of the sphere is 678.24 u³

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Answer:

D

Step-by-step explanation:

Answer:

4 is choice C. THis is because the y intercept is 1 and when you go up 2 units, and go right once, you go to another point (rise over run)

Step-by-step explanation:

Answer: 65

Step-by-step explanation:

8nn+7 is your given expression. Plug in 7 for n, the number of tickets: 8(7)+9=56+9=65

Answer:

B

Step-by-step explanation:

a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.

b is a quadratic The highest power is 2 on the base (x)  to become x^2. That is how a quadratic is defined.

c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into  (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.

d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.

Answer:

30

Step-by-step explanation:

30

The mean, median, and mode of the given monthly salary is 1794, 1790, and 1940, respectively.

Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.

Mode: It is the most common value in a given data set.

Median: In an ordered data set, the median is the number in the middle.

Mean: It is the total number of values divided by the sum of all values.

For the given data, the mean, median and the mode of the data can be found as shown below,

Sum of the Observations

= 1940 + 1660 + 1860 + 2100 + 1720 + 1540 + 1760 + 1940 + 1820 + 1600

= 17940

Number of Observations = 10

The mean of the data is,

Mean = Sum of Observations / Number of Observations

          = 17940 / 10  
          = 1794

The median of the data can be found by arranging the data in an order first. Therefore, the data can be arranged as,

The median of the data is,

Median = (Sum of the two mid values) / 2

             = (1760 + 1820) / 2

             = 1790

The mode of the data is 1940, since this is repeated twice.

b.

If the salary of each employee is increased by 5% that means that the value of each observation in the data will increase by 5%. Therefore, The raise increases the mean, median, and mode by 5% each.

c.

As it is now required to find the mean, median, and mode of the annual salary; there is a need to multiply the monthly salary of each employee by 12. Therefore, the value of each observation will be 12 times its original value. These values are 12 times the mean median, and mode of the monthly salaries.

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Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

Answer:

2k

Step-by-step explanation:

-k+3k

2k

Answer:

27

Step-by-step explanation:

54/27=2

81/27=3

135/27=5

Answer:

8851.86

Step-by-step explanation:

100-4.3= 95.7%

15000(.957)^12

Answer:

function 2

Step-by-step explanation:

i looked at the table, and since t (which is the x-coordinate in this case) was 0, that means that 5.25 is the y-coordinate and is greater than 5 in the first equation.

Answer:

3

Step-by-step explanation:

I hope this answer has helped you

The value of expression x - 9, if x = 12 is 3, so the correct option is 4.

A mathematical expression is made up of a statement, at least one arithmetic operation, and at least two integers or variables.

Given:

x - 9 and x = 12

Put the value of x in the expression as shown below,

x - 9 = 12 - 9

x - 9 = 3

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Answer:

3861.75

Step-by-step explanation:

i hope its the good answer

Answer:

71

93.5

x=15.5

Step-by-step explanation:

(2x+40)+(5x+16)+(x)=180

you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.

now solve the equation and you should get this:

x=15.5

the next step is to solve the give equations separately:

2(15.5)+40=71

5(15.5)+16=93.5

(15.5)=15.5

now to check the work, you have to add all the measures that were just calculated:

71+93.5+15.5=180 so check!

Answer:

They will each get 9 pieces of candy.

Step-by-step explanation:

if she has 4 friends and she shares with them, she would be sharing  with 4 people plus herself, so you would do the problem 45 ÷ 5 = 9.

Answer:

t = 0, 1, 4, 8

h = 0, 12, 0 , 18

Step-by-step explanation:

t = 0 + 1 + 3 + 4

/ x1 - 5 (2) x + 4x + 9

h = 0, 12, 0, 18

After 18 seconds the ball attains...

x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)

Answer:

t = 0, 1, 4, 8

h = 0, 12, 0 , 18  

t = 0 + 1 + 3 + 4

Step-by-step explanation:

/ x1 - 5 (2) x + 4x + 9

h = 0, 12, 0, 18

After 18 seconds the ball attains...

x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)

Given:

The expressions are:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

To find:

The simplified form of the given expressions.

Solution:

We have,

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

It can be written as:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{12a^{2+1}bc^3}{40b^4c^2}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{3-2}}{10b^{4-1}}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{1}}{10b^3}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{3a^{3}c}{10b^3}[/tex].

We have,

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

It can be written as:

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{(x+y)(x-y)}{4(x+y)}\cdot \dfrac{x+y}{x-y}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{x+y}{4}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{x+y}{4}[/tex].

Answer:

25,661.5

Step-by-step explanation:

30160x15%=4528.50

30160-4528.50=25,661.50

Answer:

50.37

Step-by-step explanation:

Answer: 50.37

Step-by-step explanation:

Answer:

I don't think it is correct.

Step-by-step explanation:

Square root just means half of a number. If you square this number, it just goes back to it's original form, just without the square root sign. But however, You must square the 10 at the end of the equation as well. This solution is not correct.

Step-by-step explanation:

[tex]\pi \times {7}^{2} = 3.14 \times 49 = 153.86 \\ 15 \times 25 = 375 \\ 153.86 + 375 = 523.86 \: {ft}^{2} [/tex]

i think your answer is B. 27x