pls help with this simple question

Answer:

f(6) = 182

Step-by-step explanation:

f(1) = 1

f(2) = 2

f(3) = 2f(2) + 3f(1) = 2(2) + 3(1) = 4 + 3 = 7

f(4) = 2f(3) + 3f(2) = 2(7) + 3(2) = 14 + 6 = 20

f(5) = 2f(4) + 3f(3) = 2(20) + 3(7) = 40 + 21 = 61

f(6) = 2f(5) + 3f(4) = 2(61) + 3(20) = 122 + 60 = 182

Answer:

-486

Step-by-step explanation:

Answer:

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

Step-by-step explanation:

A = {5, 10, 15, 20, 25}

B = {25, 30, 35, 40, 45}

Find A∪B

There are 5 elements in set A

There are 5 elements in set B

A∪B is the combination of all the elements in set A and set B without repeating any

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

A∪B has 9 elements in it

A ⋂ B = {25}

Answer:

11p+3q

Step-by-step explanation:

Answer: 25g/cm3

Step-by-step explanation: The formula for density is mass÷volume. There is no need to convert the mass since it is already in grams.

Answer:

81

Step-by-step explanation:

Find out the percentage of people who had mispriced item.

3/50 = 0.06

6% of people had mispriced items.

Find 6% of 1,350.

81

81 people would have mispriced items.

Answer:

81

Step-by-step explanation:

I did this by doing 1,350 ÷ 50, which gave me 27. I then did 27 times 3, the average amount of people with a mispriced item per 50 people, which gave me 81 as a result. And with that, I can conclude that you would expect there to be 81 people per day who have a mispriced item.

9514 1404 393

Answer:

Step-by-step explanation:

The dollar value of the 20% coupon will increase if the discount is from a larger amount. Applying the $25 coupon first reduces the amount that the 20% applies to, so reduces the dollar value of the 20% coupon.

Michelle used the 20% coupon first, so its value was 20%($100) = $20.

Natasha used the $25 coupon first, so the value of the 20% coupon was ...

  20%($100 -25) = 20%(%75) = $15.

Michelle paid $20 -15 = $5 less.

Answer:

the hl theorem that says that if a leg and a hypotenuse of a right triangle are congruent to a leg and a hypotenuse of another right triangle, the two triangle are congruent

Step-by-step explanation:

Answer:

the answer is a rectangle with dimensions 3cm and 5cm

Answer:

The correct option is A.

Step-by-step explanation:

When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.

In the case of the image.

h is the left side of the smaller triangle.

h + j is the left side of the larger triangle.

Then we have the relation:

(h + j) = C*h

If we isolate C, we get:

C = (h + j)/h

We can also write this for the other side (the bottom one)

k*C = (k + i)

C = (k + i)/k

Then we have:

(h + j)/h = (k + i)/k

We can rewrite this as:

h/h + j/h = k/k + i/k

1 + j/h = 1 + i/k

We can subtract 1 in each side to get:

j/h = i/k

This is almost the same we can see in option A (its inversed)

If we apply the inverse to both sides, we get:

(j/h)^-1 = (i/k)^-1

h/j = k/i

Which is the same equation that we can see in option A.

Then the correct option is A.

Answer:

a

Step-by-step explanation:

Answer:

x = [tex]\sqrt{147}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 7² = 14²

x² + 49 = 196 ( subtract 49 from both sides )

x² = 147 ( take the square root of both sides )

x = [tex]\sqrt{147}[/tex] ≈ 12.1 ( to 1 dec. place )

x = 12.12 cm

There are two ways to solve this triangle. We will be using the simpler, Pythagorean Theorem to solve for the missing side length - [tex]a^{2}+b^{2}=c^{2}[/tex]

'a' and 'b' are variables for regular side length legs, while 'c' is a variable for the hypotenuse.

[tex]7^{2}+x^{2} =14^{2}[/tex]

[tex]x^{2} =196-49[/tex]

[tex]x^{2} =147[/tex]

x ≈ 12.12

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{3}[/tex] , then

θ = arctan [tex]\frac{x}{3}[/tex] → C

The required inverse function would be θ = arctan x/3. The correct answer would be an option (C).

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

Using the tangent ratio, we have:

tan θ = perpendicular/base

Here, perpendicular = x and base = 3

As per the figure, substitute the values in the above ratio:

tan θ = x/3

Using an inverse function to write θ as a function of x:

θ = tan⁻¹ x/3

This can be also written as:

θ = arctan x/3

Therefore, the required inverse function would be θ = arctan x/3.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ2

Answer:

Step-by-step explanation:

Answer:

Nickles: 96 times

Penny:  48 times

Step-by-step explanation:

5+3+8+4 = 20 coins in total

20x = 240

x=12 (chance of a coin being picked)

8 nickles(12) = 96

4 pennies(12) = 48

Answer:

B

Step-by-step explanation:

Hope this helps :))

Answer:

-8:1

Step-by-step explanation:

How to solve the function operation :D

Simplify 7-15= -8

Then simplify 3-2= 1

Total= -8:1

Answer:

its sqrt (50)

Step-by-step explanation:

The triangle has a right angle, therefore we can use the Pythagorean theorem to find the hypotenuse. According to the theorem the sum of the squares of both other sides is equal to the square of the hypotenuse.

We have 5^2+5^2=c^2

=> 25+25=c^2

=> 50=c^2

Therefore c or the missing side is equal to sqrt(50)

The limit is x---->4-

The negative show that x approaches from the left

Now

As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.

Let's pick a Number

Say 3.99

Substitute this... You have

3.99/3.99-4

3.99/-0.01

If we choose x to be 3.999

we will have

3.999/-0.001

Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY

Why?

As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result

In our case... The denominator is negative... So it Will Approach a very Huge Negative Number

Hence

Answer.. X WILL APPROACH NEGATIVE INFINITY.

Vertical asymptotes are the zeroes of the denominator of a function

The denom. is x-4

Equate to zero to get the asymptote

x-4=0

x=4

Hence... There will be a vertical asymptote at x=4.

Have a great day!

Answer: -3

Step-by-step explanation: x divided by x = 1 and 1 - 4 = -3

Answer:

6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

6^2+6^2=c^2

36+36=c^2

72=c^2

square root 72 is the hypotenuse

Or simplified 6[tex]\sqrt{2}[/tex]

Or decimal form 8.48528137424

Rounded 8.49

Answer:

In a square or other rectangle, all pairs of adjacent sides are perpendicular. A right trapezoid is a trapezoid that has two pairs of adjacent sides that are perpendicular. Each of the four maltitudes of a quadrilateral is a perpendicular to a side through the midpoint of the opposite side.

Step-by-step explanation:

Answer:

Mean: 16.333333333333

Median: 18.5

Mode: 9,10,18,19,20,22

Step-by-step explanation:

Mean: Add all the terms together and divide your result by the amount of you there are. ((22+9+10+19+18+20) / 6)

Median- Organize the terms from least to greatest. When you find the middle of the terms you will get 18.5, look for what between 18 and 19.

Mode- Normally to find the mode you would order the terms from least to greatest, and then find which term occurs the most. But since all the terms occur once, it will be all of the terms.

Answer:

1 : 2 :3

Step-by-step explanation:

1/4 apple juice

2/5 orange juice

1/4 - 2/5

20 - 40 /20 = 20/20

                    = 1

answer = 1 :2 : 3

Answer:

Shauna is incorrect, because (x + 4)(x - 3) is NOT equivalent to 2x² + x - 12

Step-by-step explanation:

Check if she is correct by expanding (x + 4)(x - 3), with FOIL:

(x + 4)(x - 3)

x² - 3x + 4x - 12

x² + x - 12

So, Shauna is incorrect, because the two expressions are not equal.

(x + 4)(x - 3) is equivalent to x² + x - 12, NOT 2x² + x - 12.

Answer:

Step-by-step explanation:

[tex] \sf \rightarrowtail \: (x + 4)(x - 3) \\ \sf \rightarrowtail \: x(x - 3) + 4(x - 3) \\ \sf \rightarrowtail \: {x}^{2} - 3x + 4x - 12 \\ \sf \rightarrowtail \: {x}^{2} + x - 12 \cancel{ = } {2x}^{2} + x - 12[/tex]

Answer:

$0.12

Step-by-step explanation:

0.48(0.75) = 0.36

0.48 - 0.36 = 0.12

Answer:

x =  1

Step-by-step explanation:

Answer:

Heres my notes

Step-by-step explanation: