Complete the following table of values for the trig functions with angle. Again if the expression is undefined, enter DNE. sin()= |csc( csc() = cos() = sec() = tan() cot() =

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Step-by-step explanation:

\(1 \: acre \: = \: 8 \: sheeps \\ 696 \: acres \: = 8 \times 696 = 5568 \: sheeps\)

The sum expressed in sigma notation is:

Σ(8n + 5), where n goes from 1 to 5.

1. Identify the pattern in the given sequence:

13, 21, 29, 37, 45.
2. Notice that each term is 8 more than the previous term, so the common difference is 8.
3. Find the general formula for the sequence:

an = a1 + (n-1)d, where an is the nth term, a1 is the first term (13), n is the term's position, and d is the common difference (8).
4. Plug in the values to get the formula:

an = 13 + (n-1)8.
5. Simplify the formula:

an = 8n + 5.
6. Express the sum in sigma notation:

Σ(8n + 5), where n goes from 1 to 5.

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Answer:

B

Step-by-step explanation:

their is 5 different colors and they look the about the same and you spin it 100 times so

5 divided by 100 you would get 20

The given equations are

\(2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)\)

(a) Solution by graphing both the equations:

Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.

From the graph, the point of intersection is (4,3)).

Hence, the required solution is (4,3).

(b) Solution by elimination method:

Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have

\(-2x+2y=-2\cdots(iii)\)

Add equations (i) and (iii), we have

2x-3y=-1

-2x+2y=-2

__________

\(\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.\)

Putting the value of y=3 in equation (i), we have

\(2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4\)

Hence, the required solution is (4,4).

(c) Solution by substitution method:

Substituting the value of y from equation (ii) to equation (i), we have

\(2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4\)

Putting the value of x=4 in equation (i), we have

\(y=4-1=3\).

Hence, the required solution is (4,3).

There are 67,108,863 outcomes in which at least one head occurs if a fair coin is tossed 26 times.

The probability of getting tails on any given toss is 1/2, so the probability of getting tails on all 26 tosses is (1/2)^26. Therefore, the probability of getting at least one head is

1 - (1/2)^26 ≈ 0.999999999996

So there are almost 100% chance of getting at least one head in 26 coin tosses. To find the number of outcomes that satisfy this condition, we can use the formula for combinations

ⁿCₓ = n! / (x! * (n-x)!)

where n is the total number of trials (26 in this case), x is the number of successes (at least 1 head), and ! denotes the factorial function (e.g., 5! = 54321).

Using this formula, we get

26C1 + 26C2 + ... + 26C26

which simplifies to

2^26 - 1 = 67,108,863

So there are 67,108,863 outcomes in which at least one head occurs in 26 coin tosses.

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Answer:

3 1/2cm

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

198.95 cm²

Step-by-step explanation:

Circumference = 50cm

C = πD

D = C/π

r = D/2

r = 50/π/2

r= 7.957747…..cm

Area = π r²

A = π x 7.957747….²

A = 198.95 cm² (2dp)

Answer:

100

Step-by-step explanation:

Answer:

100 times greater

Step-by-step explanation:

Because the number 55 moves to the right.

Answer:

1.  5/6

2. 8 outta 10

3. 60%

4. 0.37

5. 20%

Step-by-step explanation:

hope this helps!

Answer:

1. 20%

2. 0.37

3. 60%

4. 8 out of 10

5. \(\frac{5}{6}\)

Step-by-step explanation:

Percentages are just dividing by 100 because all percentages must equal up to 100 such, as 50% and 50% (50+50=100) or 60% and 40% (60+40=100)

So divide the percentage ( basically just the number not, the %) by 100. 20(%)÷ 100 = 0.2 (take out the % when you do it). 60 ÷ 100 = 0.6

8 out of 10 is 8 ÷ 10 (0.8) if. it was 10 out of 8. it would look like \(\frac{10}{8}\)   which you can divide and get 1.2 because the line above the 8 means divide.

and \(\frac{5}{6}\) is what i just explained above ↑ divide 5 and 6, which is .83 (it is .8333333333 to infinity and beyond, but I just said 3 because dont  have that line)

now that you have everything in decimals. Sort them!

0.2 (20%)

0.6(60%)

0.37

0.8 (8 out of 10)

5/6 (0.83)

(↑ not the right answer the one in the answer box is.)

Dividing in math is the process of finding the quotient of two numbers.

The formula for dividing two numbers is a/b = c, where a and b are the two numbers being divided and c is the quotient.

Division is a mathematical operation that is used to split a whole number into parts. It is the opposite of multiplication, which combines numbers together. The formula for division is A / B = C, where A is the dividend (the number being divided), B is the divisor (the number dividing the dividend), and C is the quotient (the result of the division). To calculate, you divide the dividend by the divisor and the quotient is the resultTo calculate the quotient, you must divide a by b. For example, if we wanted to divide 8 by 4, we would divide 8 by 4 to get 2. The calculation would look like this: 8/4 = 2. As a result, 8 divided by 4 is equal to 2.

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However, assuming there is a statement that involves the variable x, it would perform some operation or assign a value to x based on the specific syntax of the statement.

Without the statement provided, it is impossible to give a specific answer. Assuming the variable x has been the initialized to an integer value (e.g., x = 3), the following statement will perform an operation or action using the value of x. This could include mathematical operations, comparisons, or use within a loop or conditional statement. Without knowing the specific statement, I cannot provide a more detailed explanation of its function.

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Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

Answer:

Step-by-step explanation:

They are trying to be tricky  :DDD  but we got this.

they give you the outside angle at H, but  you know both of those two angle also add to 180

180= 131 +∠h

I'm noting that we're solving for the minor angle H of the triangle,  the inside angle

49° = ∠h

we also , know that  H and J are equal,  b/c it's got the red marks , telling us the angles are the same.

use that same strategy to solve,  

180 = 2*49 + p

180-98 = p

82 = p

Do you see where I get the equation from? ( 180 = 2*49 + p )  ?

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

CA=6x-24 and BD = 2x+8

Find CE

CA=BD => 6x-24=2x+8 => x=8

CE=1/2(CA) or 1/2(BD) => 1/2(6x-24)=12

CE=12

CA=24

BD=24

Step-by-step explanation:

Answer:

BCA and DCA are right angles

Step-by-step explanation:

right angles look like L 's

BCA AND DCA!

Step-by-step explanation:

im good at math

Answer:

FG = 3

Step-by-step explanation:

let me know if you are still confused!

Answer:

Step-by-step explanation:

the mat will be b. 4ft

The new length of the mat will be 4 ( 7 / 12). The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the length of the mat is 5 ( 1 / 4 ) and the length cut by 2 / 3  feet. The new length will be calculated as below:-

New length = 5 ( 1 / 4 ) - ( 2 / 3 )

New length = ( 21 / 4 )  - ( 2 / 3 )

New length = ( 63 - 8 ) / 12

New length = ( 55 ) / 12

New length = 4 ( 7 / 12 )

Therefore, the new length of the mat will be 4 ( 7 / 12). The correct option is A.

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Step-by-step explanation:

Firstly convert the diameter into cm

t480812.5cm³hus 3.5×100=350cm

Volume=

\( \frac{\pi {d}^{2} h}{4} \)

\( \frac{3.14 \times (350) {}^{2} \times 5 }{4} \)

=480812.5cm³

Answer:

j is the answer because 1/8 of the houses is 5 2/5 of 40 is 16 and 16 +5 =21 40-21 =19

Step-by-step explanation: There are 80 houses in a neighborhood.

• Company X provides electricity to one eighth of the

houses.

• Company Y provides electricity to two fifths of the

houses.

Company Z provides electricity to the

remaining houses.

In this neighborhood, Company Z provides electricity

to how many houses?

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

I think number 5

Answer:

Explanation:

Here, we want to solve the given equation for L

What that means is that we want to make L the formula subject. Hence, we are to simply isolate L on one side of the equation

To do this, we have to divide both sides by the values attached to L:

The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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Answer:    1/4

Answer:

Step-by-step explanation:

Here is the complete question: Find the rate of change for the situation:

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Given: 1st situation, A chef cook 9 lbs chicken for 36 people.

          2nd situation, chef cook 17 lbs chicken for 68 people.

∴ 1st situation, weight of chicken per person=  

 Weight of chicken per person=  

2nd situation, weight of chicken per person=  

Weight of chicken per person=  

In both the situation chef cook same amount of chicken per person, which is  

∴ Rate of change is

Step-by-step explanation:

There are several important information's already given in the question. Based on those information's the answer can be easily deduced.

In the first case,

The amount of chicken the chef cooks for 36 people = 9 pounds

Then

The amount of chicken the chef cooks for 1 person = 9/36

                                                                                 = 1/4 pounds

Now let us take the second case

The amount of chicken the chef cooks for 68 people = 17 pounds

Then

The amount of chicken the chef cooks for 1 person = 17/68

                                                                                 = 1/4 pounds

From the above deductions, it can be concluded that the correct option among all the options given in the question is the third option or option "B".