Before using the Gizmo, consider an arithmetic sequence with a first term (a1) of 4 and a common difference (d) of 3.

Challenge: What are the first five terms of the sequence (from lowest to highest)?

Answer:

cot(45 -A) = cot(90 - (45 + A)) =  tan(45 + A) = tan2A + sec2A

Step-by-step explanation:

cot(45 -A) = tan2·(A) + sec2·(A)

We have;

tan2(A) + sec2(A) = sin2(A)/cos2(A) + 1/cos2(A) = (sin2(A) + 1)/cos2(A)

= (sin²(A) + cos²(A) + 2·sin·(A)cos(A))/(cos²A - sin²A)

= (sin(A) + cos(A))²/((cos(A) -sin(A))(cos(A) +sin(A)))

= (sin(A) + cos(A))/((cos(A) -sin(A)))

= (cos(A)(1 + sin(A)/cos(A)))/(cos(A)(1 - sin(A)/cos(A)))

= (1 + tan(A))/(1 - tan(A))

= (tan 45 + tan(A))/(1 - tan(45)·tan(A)) = tan(45 + A)

cot(π/2 - x) = tan(x)

= cot(π/2 - (45 + A)) =  tan(45 + A)

π/2 = 90°

= cot(90 - (45 + A)) =  tan(45 + A)

cot(45 - A) =  tan(45 + A) =  tan(2A) + sec(2A).

Answer:

61 / 90, 62 /90, 63 /90, 64/90, 65/90

Explanation:

2/3 = 2 x 5 / 3  x 5 

       = 10 / 15 

4/5 = 4 x 3 / 5 x 3 

       12 / 15 

we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6 

10 / 15  X 6 /6 

= 60 / 90 

12/ 15 X 6 /6 

= 72 / 90 

the rational numbers = 61 / 90  62 /90  63 /90  64/90  65/90  

Answer:

31/45, 32/45, 11/15, 34/35, 7/9.

Step-by-step explanation:

The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:

10/15 and  12/15 so one rational number between these is 11/15.

Now 11/15 = 33/45 and 4/5 = 36/45

So 2 rationals between these are 34/45 and 35/45 = 7/9

2/3 = 30 /45 and 11/15 = 33/45

so  2 rationals between these are 31/45 and 32/45.

Answer:

Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]

Step-by-step explanation:

=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]

=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]

=> [tex]x^{\frac{1}{8}}y^8[/tex]

Answer:

x= 9/5

Step-by-step explanation:

The value of 'x' by using given steps will be 1.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3x + 18 = 7x

Now,

Solve the expression by using the given steps as;

The expression is,

⇒ - 3x + 18 = 7x

Add 3x to both side,

⇒ - 3x + 18 + 3x = 7x + 3x

⇒ 10 = 10x

Divide both sides by 10,

⇒ 10/10 = 10x/10

⇒ 1 = x

⇒ x = 1

Thus, The value of x by using given steps will be 1.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

I got 41000 cell phones.

Step-by-step explanation:

Step 1: I figured out the amount of each workers from 90

US Sock Production: 18 workers

Thailand Sock Production: 15 workers

US Cell Production: 27 workers

Thailand Cell Production: 30 workers

Step 2: I adjusted the workers amounts to the question's changes

US Sock Production: 18 - 10 = 8 workers

Thailand Sock Productions: 18 + 15 = 33 workers

US Cell Production: 27 + 10 = 37 workers

Thailand Cell Production: 30 - 18 = 12 workers

Step 3: Find the total amount of cell phones produced

4(1000) + 37(1000) = 41000 cell phones

*12/3 = 4 because 3 workers are needed to make 1000 cell phones

Answer: 81

Step-by-step explanation:

We know that to find the area of a square you have to square the side length.

So since we know that he area is 36 cm square, then we will find the square root of 36.

36/4= 9      Now we know that the side length is  9 and a square has four sides which are all equal. The perimeter is the distance around the shape.

So just multiply 9 by 9 to find the area

9*9 = 81

Hey there! :)

Answer:

Choice 4: π/4, 3π4, 7π/4

Step-by-step explanation:

For the values of θ to have the same reference angles, the denominators of the radians must be the same. Therefore:

Choice 1: π/6, π/3, 5π/6 - incorrect. π/3 will have a different reference angle as it has a denominator of 3.

Choice 2: π/3, 5π/6, 4π/3 - incorrect. 5π/6 will have a different reference angle as it has a denominator of 6.

Choice 3: π/2, 5π/4, 7π/4 - incorrect. π/2 will have a different reference angle.

Choice 4: π/4, 3π4, 7π/4 - correct. All of these radians contain the same denominator, and will each have the same reference angles of π/4.

Answer:

y=-1/4(x+3)²+3

Step-by-step explanation:

Answer and explanation:

We khow that the standard form of a parabola is written this way:

ax^2 + bx +c

It can be factored if it has roots

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

In the graph we notice that the parabola has two x-intercepts wich means two roots

Let p and q be the roots

The equation can be written as:

a (x-p) (x-q)

We can khow the value of p and q from the graph

The parabola crosses the x-axis in -6,25 and 0.5

So the equation is:

Y=a(x-0.5) (x+6.25)

a is missing but we can find it

□□□□□□□□□□□□□□□□□□

Replace x and y bu the coordinates of a point in the parabola

Let's take (-3;3)

3= a (3-0.5) (3+ 6.5)

3 =a* 2.5* 9.5

a= 3/(2.5*9.5) = 0.12

So the equation is :

y= 0.12(x-0.5)(x+6.5)

y= (0.12x-0.6)(x+6.5)

y= 0,12x^2 + 0.78x -0.6x- 3.9

y= 0.12x^2 +0.18x-3.9

Divide by 3 to simplify :

y= 0.4x^2+0.6x-1.3

Multiply by 10 to get rid of the decimal numbers

y= 4x^2 + 6x -13

Answer:

A. 41

Step-by-step explanation:

19 - (-8) - (-14) =

19+8+14

Remember: Two negatives=One positive ;)

27+14

41

A. 41

Answer:

[tex]\mathrm{A.} \: 41[/tex]

Step-by-step explanation:

[tex]19 - (-8) - (-14)[/tex]

[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]

[tex]19+8+14[/tex]

[tex]\mathrm{Add \: the \: numbers.}[/tex]

[tex]=41[/tex]

Answer:

The value of x in this equation is 8.

Step-by-step explanation:

5x - 1 = 6x - 9

Subtract 6x on both sides.

-x - 1 = -9

Add 1 to both sides.

-x = -8

Divide by -1 on both sides.

x = 8

Answer:

6 mi

Step-by-step explanation:

10560 yds ÷ 1760 yds = 6 mi.

Answer: 6 miles

Step-by-step explanation:

1 mile = 1,760 yds.

Then 10,560/1,760

         = 6

Therefore, 10,560 yards is equal to 6 miles

Answer:

The answer is given below

Step-by-step explanation:

The question is not complete because it does not contain the line plot. A line plot is attached and steps on how to calculate.

From the line plot, if  Maria stacked the books that were 3/4 inches thick on top of the books that were 1 inches thick, the result would be as follows.

A line plot shows the frequency of data using a number line. As seen from the line plot, 5 books are 3/4 inches thick and 4 books are 1 inches thick. If the 1 inches thick books was stacked on the 3/4 inches thick book, the resulting thickness would be: [tex]Thickness\ of\ books=\frac{3}{4} inches/book *5\ books+1\ inches/book*4\ books\\ = 3.75\ inches+4\ inches = 7.75 \ inches[/tex]

Therefore Maria pile of books as a result of stacking 3/4 inches thick on top of the books that were 1 inches thick = 7.75 inches

Answer:

7.75

Step-by-step explanation:

Answer:

The answer is the second one 687p + 920 = -705.6

Step-by-step explanation:

The decimal place in each number was shifted right 2 spots

Answer:

No it is not because it is only once when you get the fee

Step-by-step explanation:

So if you look at it, first of all there is not multiplication going on, so there are not ratios, second when there is only once that the fee added no matter to the amount of tickets, it means no propotion

Answer:

$42 for 8 tickets

Step-by-step explanation:

To tell which is the better deal you need to find out how much each ticket costs per scenario

$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket

$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket

$42 option is cheaper per ticket so it is therefore the better option.

Answer:

d

Step-by-step explanation:

(x,y,z)=(2,-3,0)+t(1,0,-1)

(x,y,z)=(2,-3,0)+(t,0,-t)

(x,y,z)=(2+t,-3,-t)

x=2+t

y=-3

z=-t

If you don't understand, you can ask me :)

Answer:

/25 is the trigonometric

tan=24

Answer:

cos(e) sin(e) is the he correct ratio

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

Answer: The first term is 6; the common difference is 4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2+10)/(5+1)= 12/6 =2

y + 10 = 2(x + 1)

y + 10 = 2x + 2

y = 2x - 8

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SUBTRACTION.

so here we are going to use the BODMAS Rule,

Answer is -11

Answer:

Step-by-step explanation:

Can do skmeone help me

Answer:

Both types of lines are built on the same plane although they meet different objectives for which they are built.

Step-by-step explanation:

The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.

[tex] < or \: [/tex]

i am not so sure

Answer:

x-8

Step-by-step explanation:

You add the -7 and -1 and then put the x in front of your answer.

Answer: x-8

Step-by-step explanation:

x-7-1

-7-1=-8

x-8

Answer:

-71/624

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.

Answer:

a) 18

b) 10

c) x^2 - 4x + 5

d) 4x^2 + 2

Step-by-step explanation:

f(x) = 4x - 2

g(x) = x^2 + 1

a) f(5) = 4(5) - 2 = 20 - 2 = 18.

b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.

c) g(x - 2)...

g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.

d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.

Hope this helps!

Explanation:

The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.

__

For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.

A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.

The net result is that 50 skilled hours and 165 unskilled hours are worked each week.

__

We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)

Using this assumption, job completion occurs at the equivalent rate of ...

  50 +165/3 = 105 . . . equivalent skilled hours per week

The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)

__

In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.

Answer:

31hr

Step-by-step explanation: