if f(x) = x+5 then fill the table
x| 1 | | 2 | |
y| | 3 | |5 |​

Answer:

θ = [tex]\frac{\pi }{3}[/tex] (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = [tex]\frac{1}{2}[/tex] , so

θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )

Answer:

[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]

Step-by-step explanation:

[tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

Answer:

$583 :)

Step-by-step explanation:

well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!

Answer:

x = 5

Step-by-step explanation:

Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.

8x - 3 = 5x + 12

3x = 15

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

[tex]f(x)=600(0.09)^x[/tex]

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

[tex]f(x)=600(0.09)^x[/tex]

Answer:

∠2 = 80°

Step-by-step explanation:

∠1 and ∠2 are supplementary angles (their sum is 180°)

Answer:

6*6=36

Step-by-step explanation:

6*6. 6 with exponent of 2=36

Answer:

not sure but i think c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of

change than Ryan's function indicating that Daniel can pack more boxes per hour.

Step-by-step explanation:

Given

Ryan: 3 boxes per hour

Daniel: [tex]y = 4h[/tex]

Required

True statement about their functions

First, we calculate Ryan's function.

In 1 hour, he can pack 3 boxes.

In hours, he can pack 3h boxes.

So, the equation is:

[tex]y = 3h[/tex]

So, we have:

[tex]y = 3h[/tex] ---- Ryan

[tex]y = 4h[/tex] --- Daniel

Both functions represent direct proportional functions.

So, when h increases y also increases.

However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.

Answer:

Each child ticket cost = $6

Step-by-step explanation:

Joe has = $100

His balance after tickets purchase = $22

Actual amount spent on tickets = $100 - $22 = $78

But,

Each adult ticket cost = $9

Total no of adult = 6

Total amount spent (adults) = $9 x 6 = $54

Balance remaining = $78 - $54 = $24

Amount spent of 4 child tickets = $24

No of children = 4

Therefore,

Amount spent on 1 child (1 ticket),

= $24/4 = $6.

It could be seen that each child ticket cost six dollars.

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

You can go further by making it a proper fraction but that is beyond the current problem we are solving.

Answer: Carlos does not have enough wires by 0.1 meters

Step-by-step explanation:

To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.

= 0.9 + 0.9 + 0.9

= 2.7 meters

Carlos has 2.6 meters of wire but needs 2.7 meters.  

Carlos therefore, does not have enough wires.

Answer:

Complementary

Step-by-step explanation:

49°+41° = 90°

Answer:

12710 license plates

Step-by-step explanation:

Given that :

First character = one of 41 different hieroglyphs

Second character = one of 31 emojis

Third character = one of 10 polygons

A license plate consists of 3 characters

Number of 3-character license plates available :

Number of hieroglyphs * Number of emojis * number of polygons

41 * 31 * 10 = 12710 license plates.

Answer:

23

Step-by-step explanation:

3c + 11

3(4) + 11

12 + 11

23

half of the triangle is a right angle triangle, so we use the phythagoras theorem and multipy our answer by 2

Answer:

Step-by-step explanation:

The height of the building is 8 rad 3

Approximately 13.9 ft

Answer:

1.341

Step-by-step explanation:

I'm smart at maths

Answer:

The tires are spinning at 660.49 revolutions per minute.

Step-by-step explanation:

The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:

[tex] \omega = \frac{v}{r} [/tex]

Where:

r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches

[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]              

Therefore, the tires are spinning at 660.49 revolutions per minute.

I hope it helps you!          

Answer:

Step-by-step explanation:

parimeter of a regular hexagon:6a

therefore

=½×[4×6]×2√3 cm²

simplify parentheses:

=½×24×2√3 cm²

simplify fraction:

=24×√3 cm²

=41.57cm²

Answer:

41.57

Step-by-step explanation:

took the test

5 because of slope equation

Answer:

36

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

<A+ <B+ <C = 180

2x+6x+2x = 180

10x = 180

Divide by 10

10x/10 = 180/10

x = 18

We want to find <C

<C = 2x

     = 2*18

    = 36

Answer:

Pounds of noodles made per week = 47 1/2 pounds

Step-by-step explanation:

One pound of pasta noodles can be made using the ingredients shown in the recipe below.

Recipe for Pasta Noodles

Ingredients

3 1/2 cups of flour

4 large eggs

2 teaspoons of olive oil

A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?

28 1/2

47 1/2

53 1/4

55 1/2

Pounds of noodles made per week = Total cups of flour used each week / flour used per pound

= 166 1/4 ÷ 3 1/2

= 665/4 ÷ 7/2

= 665/4 ÷ 2/7

= (665*2)/(4*7)

= 1330/28

= 47.5 pounds

Pounds of noodles made per week = 47 1/2 pounds

Answer:

your answer will be B. HL Theorem

Step-by-step explanation:

hope it helps you...

Answer:

Step-by-step explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

b/6 ≤ 7 ⇒ b ≤ 42

–4.5c > 9 ⇒ c < - 2

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25