Find the area and perimeter of the figure below.

[tex]3^{x-2} = \left(\dfrac 13 \right)^{\sqrt x}\\ \\\implies 3^{x -2} = \left(3^{-1} \right)^{\sqrt x} \\\\\implies 3^{x-2} = 3^{-\sqrt x}\\\\\implies x -2 = -\sqrt x\\\\\implies (x-2)^2 = \left(-\sqrt x \right)^2\\\\\implies x^2 -4x +4 = x\\\\\implies x^2 -5x +4 =0\\\\\implies x^2 -4x-x+4=0\\\\\implies x(x-4) -(x-4)=0\\\\\implies (x-1)(x-4)=0\\\\\implies x = 1~~~~~~;[x = 4 ~ \text{Does not satisfy the original equation}]\\\\\text{Hence, x =1 is the solution.}[/tex]

Answer:

y = 3x - 2

X Y

6 16 3(6)-2 -> 18-2 = 16

5 13 3(5)-2 -> 15-2= 13

4 10 3(4)-2 -> 12-2= 10

7 19 3(7)-2 -> 21-2= 19

Answer:

-120

Step-by-step explanation:

Following the rules of PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction)

First when solve the numbers in the parentheses:

-6-14-11-9= -40

Then we can do the multiplication:

3*-40 = -120

Hope this helps! :)

Answer:

-18  -33

-42  -27

Step-by-step explanation:

Answer:

1. Alissa can conclude that there are fewer students at her school that want to visit Japan (7) than Australia (13)

I'm not sure about the 2nd question so you can use it if you want or just wait if someone else gives a different answer

2.

25 × 0.52 = 13 pets that don't have a home

25 - 13 = 12 pets that have a home

Pets that don't have a home is more than the pets that have a home

The statement is not misleading

Answer:

5%

Step-by-step explanation:

1700 * x = 85

x = 85/1700 = .05    or 5 %

Answer

$15080

Step-by-step explanation:

ok so i havent done these in a while but basically.

First, we need to find out what the 6% is.

[tex]\frac{5}{100} \times \frac{11600}{1}[/tex]

5/100 because it's PERCENT, and well we need to put the 11600 out of 1.

Wich gives us

$580. THen, we multiply that by 6, (6 years). Which gives us

$3480. Now, we add that to the $11600. WHich gives us

$15,080.

Hope this helps!

Step-by-step explanation:

The graph looks like the above picture

Answer:

Image Attached

Step-by-step explanation:

Hello!

To have points with whole numbers, multiples of 3 need to be used for x.

x = 3

y = (1/3)(3)²y = (1/3)(9)y = 3

x = 6

y = (1/3)(6)²y = (1/3)(36)y = 12

x = 9

y = (1/3)(9)²y = (1/3)(81)y = 27

x = 12

y = (1/3)(12)²y = (1/3)(144)y = 48

x = 15

y = (1/3)(15)²y = (1/3)(225)y = 75

Two images are attached, one in correlation to y = x^2, and the original graph with the given points (3,3), (6,12), (9,27), (12,48), (15, 75).

Answer:

yes

Step-by-step explanation:

A right triangle means that

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]

, which means that it follows the rules of the formula, making it a right triangle.

If this answer helped you I would appreciate it if you gave me brainliest :D

Answer:

The answer is 0.0026

Step-by-step explanation:

0.00032 x 5200000 = 1664

1664 divided by 640000 is 0.0026

Answer:

Step-by-step explanation: X = 4/3 or X= 1.3

3x + 1 = 5

3x = 5 - 1

3x = 4

X= 4/3 or X= 1.3

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio , 1 + 2 + 3 = 6 parts

divide the amount by 6 to find the value of one part of the ratio

£102 ÷ 6 = £17 ← value of 1 part of the ratio , then

2 parts = 2 × £17 = £34

3 parts = 3 × £17 = £51

Gavyn gets £17

Pip gets £34

Mark gets £51

Answer:

-14 > -23

Step-by-step explanation:

-14 is greater than -23 since it is closer to 0 than -23.

hope this helps!! p.s. i really need brainliest :)

Answer:

a) we have 5 there 3 times so answer is 3/8

b)

for 8 times rolling 3 times 5 we have

for 40 times rolling will 15 times 5

Step-by-step explanation:

a) we have 5 there 3 times so answer is 3/8

b)

for 8 times rolling 3 times 5 we have

for 40 times rolling will 15 times 5

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The formula for the area of a triangle is bh(1/2).

We can model an equation with:

22=4x(1/2)

multiply both sides by 2

44=4x

x=11

Answer:

Similar

Step-by-step explanation:

We can say that the triangles are similar by looking at the angle measurements

Angle B = 35

Angle F = 55

Both angles A and D = 90 because these are right triangles

We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180

Same rule applies to angle C

Answer:

A.2

Step-by-step explanation:

x² = 16

take the square root of both sides

x = ±4

there are 2 solutions to the equations, those 2 solutions being 4 and -4

just to double check

4² = 4 × 4 = 16

-4² = -4 × -4 = 16

Answer: 3/4 hour

Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.

Answer:

49.5

Step-by-step explanation:

area of triangle = (b x h) / 2

9 x 11 = 99

99 / 2 = 49.5

Hope this helps!

- profparis

Here's the graph using geogebra.org/graphing

Let me know if you need an explanation of how to solve this equation

100% = 200

hope it helps..!!!

The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.

Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.

In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:

= 2(Length + Width)

= 2(27 + 20)

= 2 × 47

= 94m

In conclusion, 94m will be cleaned.

Learn more about dimensions on:

https://brainly.com/question/19819849

Answer:

x=0

Step-by-step explanation:

add 3 to both sides

subtract 4 from both sides

[tex]\sqrt{x} +4-3=1\\\sqrt{x} +4=4\\\sqrt{x} =0[/tex]

Answer: x=12

√x+4 - 3 = 1

(√x+4 - 3) + 3 = 1 + 3

√x + 4 = 4

(√x+4)^2 = 4^2

√(x+4)^2 = 16

x+ 4 = 16 (cancels out the square root)

(x + 4) + (-4) = 16 + (-4)

x + 4 - 4 = 16 - 4

And then just solve it out

x = 12

Hope this helped in some way

Answer:

  $6.46

Step-by-step explanation:

The average per item is the quotient of the total raised and the number of items. The total raised is the sum of the products from multiplying the number of items at a given price by that price.

__

A weighted average is computed easily using a spreadsheet or calculator.

Here, the average amount per item is computed by a calculator to be ...

  $6.46 per item, average

Answer:

400ml

Step-by-step explanation:

1 cooler=28L÷7=4L

1L=100ml

4L=400ml(Ans)

Answer:

140.71

Step-by-step explanation:

WEEK 1- 100

WEEK 2- 105

WEEK 3-110.25

WEEK 4-115.7625

WEEK 5-121.550625

WEEK 6-127.62815625

WEEK 7-134.009564063

WEEK 8-140.710042266

By using an exponential equation, we will see that in the first 8 weeks she makes $954.90.

We know that the first week she makes $100, and for each week after that, she makes an extra 5%.

Then, the second week she makes:

W(2) = $100*(1 + 5%/100%) = $100*(1.05)

The third week she makes:

W(3) = $100*(1.05)*(1 + 5%/100%) = $100*(1.05)^2

We already can see the exponential pattern, for the N-th week, the salary will be:

W(N) = $100*(1.05)^(N - 1)

Then what she wins in the first 8 weeks is:

Now we just need to add these 8 values, we will see that the total money that she makes in these 8 weeks is:

M = $954.90

If you want to learn more about exponentials, you can read:

https://brainly.com/question/11464095