Find the inverse function of f(x)=square root 3x+5

Given:

The pair of similar triangles.

Base of smaller triangle = 10 in

Base of larger triangle = 14 in

To find:

The ratio of the perimeters and the ratio of the areas.

Solution:

Ratio of perimeter of similar triangles is equal to the ratio of their corresponding sides.

[tex]\text{Ratio of perimeters}=\dfrac{10\ in.}{14\ in.}[/tex]

[tex]\text{Ratio of perimeters}=\dfrac{5}{7}[/tex]

[tex]\text{Ratio of perimeters}=5:7[/tex]

The ratio of area of similar triangles is equal to the ratio of squares of their corresponding sides.

[tex]\text{Ratio of areas}=\dfrac{(10)^2}{(14)^2}[/tex]

[tex]\text{Ratio of areas}=\dfrac{100}{196}[/tex]

[tex]\text{Ratio of areas}=\dfrac{25}{49}[/tex]

[tex]\text{Ratio of areas}=25:49[/tex]

Therefore, the ratio of the perimeters is 5:7 and the ratio of the areas 25:49.

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

y = mx + b. where m is the slope and b is the y intercept

y = 3/4x - 2

Answer:

D) 8

Step-by-step explanation:

We are given a continuous function f on the closed interval [0, 2].

Where:

[tex]2\leq f(x)\leq 4[/tex]

And we want to find the greatest possible value of:

[tex]\displaystyle \int_0^2f(x)\,d x[/tex]

The range restriction tells us that even if f(x) = 2 for all x in the interval [0, 2], the smallest area possible will be 4, since that is the area of the rectangle.

Then in that case, the maximum possible value of the integral must be 8. f(x) cannot exceed 4, and the length of the interval is two units. Thus, the greatest possible value of the integral is 8. This will only occur if f(x) is a horizontal line at y = 4 from x = 0 to x = 2.

Answer:

A real world situation could be: Holden is walking to school for his basketball game.

He lives 10 blocks from school. Holden walks 6 blocks in 4 minutes, but then realizes that he forgot his jersey. He runs back home in 2 minutes and spends 2 minutes finding his jersey at home. Finally, he runs 5 blocks every 2 minutes until he reaches school. And a good example/photo would be: (down below)

Step-by-step explanation:

I hope this helps! brainliest?

Answer:

B) The margin of error is 0.0269.

C) The confidence interval is (0.5406, 0.5944).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In the​ poll, n=918 and x=521 who said​ "yes."

This means that [tex]n = 918, \pi = \frac{521}{918} = 0.5675[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

B) Identify the value of the margin of error E.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.5675*0.4325}{918}} = 0.0269[/tex]

The margin of error is 0.0269.

C) construct the confidence interval.

[tex]\pi \pm M[/tex]

So

[tex]\pi - M = 0.5675 - 0.0269 = 0.5406[/tex]

[tex]\pi + M = 0.5675 + 0.0269 = 0.5944[/tex]

The confidence interval is (0.5406, 0.5944).

Answer:

y=8x+55

255 gallons

Step-by-step explanation:

Linear equation: y=mx+b

In this equation you can go ahead and start off with your Y intercept (b) which is where you begin and you begin with 55 gallons. As for the m and x section in the linear equation your m is how much it increases at a constant rate in a minute and that will be eight so you can go ahead and put 8 and then X which is the amount of minutes.

To figure out how many gallons there are in 25 minutes you can use the same equation so you can multiply 8 which is the amount of gallons per minute * 25 and that gives you 200 then you can go ahead and add the y-intercept which is 55 and that gives you 255 gallons in 25 minutes.

Answer:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]

Where θ is in QI.

And we want to determine sin(2θ).

First, note that since θ is in QI, all trig ratios will be positive.

Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.

Then by the Pythagorean Theorem, the opposite side to θ is:

[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]

So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.

We can rewrite as expression as:

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Using the above information, substitute. Remember that all ratios will be positive:

[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

cosθ = 15/17 and sinθ = -8/17

So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8

Answer:

9x ÷ 3

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

6+6+6+6=24

12 is half so you should add 12 or multiply by 2

Answer:

Well assuming you mean which will be the better option it would be the 60 ounce and 1.20 option. Since if you find the unit rate for that you’d only get 0.02 dollars for each ounce of soda. And for the 20 ounce one you’d get 0.05 dollars per ounce. The better option is the 60 ounces bottle for 1.20.

Answer:

She forgot to make the 4 a -4

3x-2x-4=7

Step-by-step explanation:

Answer:

[tex]f(x)=9*\frac{5}{3}^x[/tex]

Step-by-step explanation:

When x equals 0, that means a is going to be multiplied by 1 since any number to the power of 0 is 1, so [tex]f(0)=a=9[/tex]. When x equals 1, that means that [tex]f(1) = 9b=15[/tex], so [tex]b=\frac{15}{9} =\frac{5}{3}[/tex]. This means that the equation should be [tex]f(x)=9*\frac{5}{3}^x[/tex].

How much energy points you have on KA? I have 3, 736,486 points.

Step-by-step explanation:

hmmmmmmmmm

Bots are not welcome here!

Answer:

B. 2 miles

Step-by-step explanation:

Find out how many total feet the student runs.

2,640 + 7,920 = 10560

10560 feet = 2 miles

Answer:

b

Step-by-step explanation:

its B cuz for every 5280 feet its 1 mile

Answer:

1123222

Step-by-step explanation:

Answer:

The two triangles are related by A - S - A test of similarity , so the triangles are congruent.

Answer:

y = 4.4

x = 1/5

Step-by-step explanation:

5x -4 = -3

5x -4 +4 = -3 +4

5x = 1

x = 1/5

y = -3(1/5) + 5

y = 4.4

Answer:

c

Step-by-step explanation:

Answer:

Counting from the top:

fist option

fourth option

fifth option.

Step-by-step explanation:

Any set that has a multiplicative outcome, such that the total number of outcomes is 24.

Remember that if we have a combination of two events, one with N outcomes and the other with M outcomes, the total number of outcomes is:

M*N

This is the main thing we need to see.

Let's analyze each option:

1) flip a coin (2 outcomes)

  flip a coin again (2 outcomes)

  roll a 6 sided dice ( 6 outcomes)

total number of outcomes:

2*2*6 = 24

2) Selecting a number from 1 to 16 (16 outcomes) and rolling a dice of 8 sides (8 outcomes).

The total number of outcomes is:

8*16 = 128

We wanted only 24.

3) Selecting a number from the set {1, 3, 5, 7, 9} (5 outcomes)

   flip a coin (2 outcomes)

   flip the coin again (2 outcomes)

total number of outcomes:

2*2*5 = 20

We wanted 24, we can discard this.

4) Spin the thing (3 outcomes)

   roll an 8-sided dice (8 outcomes)

Total number of outcomes:

8*3 = 24

This is a correct option.

5) Select a card from A to D (4 outcomes)

Roll the thing (6 outcomes)

total number of outcomes:

6*4 = 24

This is a correct option.

6) Select a card from A to N {14 options}

   Roll the thing once (10 outcomes)

Total number of outcomes:

14*10 = 140

We wanted 24, so we can discard this option.

Then the correct options are:

first one, fourth one, and fifth one.

Answer:

6.3

Step-by-step explanation:

√((8-2)^2 + (4-6)^2)

√ (36 + 4)

√40

6.3

Given:

The relation S is:

[tex]S=\{(4,9),(-9,4),(0,-9),(6,6)\}[/tex]

To find:

The domain and range of S.

Solution:

If a relation is defined by the set of ordered pairs (x,y), then the domain is the set of x-values and range is the set of y-values.

Let R be a relation defined as [tex]R=\{(x,y):x\in R,y\in R\}[/tex], then [tex]Domain=\{x:x\in R\}[/tex] and [tex]Range=\{y:y\in R\}[/tex].

The given relation is:

[tex]S=\{(4,9),(-9,4),(0,-9),(6,6)\}[/tex]

Here, x-values are 4,-9,0,6 and the y-values are 9,4,-9,6.

So, the domain and range of the given relation S are

[tex]Domain=\{-9,0,4,6\}[/tex]

[tex]Range=\{-9,4,6,9\}[/tex]

Therefore, [tex]Domain=\{-9,0,4,6\}[/tex] and [tex]Range=\{-9,4,6,9\}[/tex].

Answer:

100 ft^2

Step-by-step explanation:

I just use 5 x 5 and get a base and then multiply by 8 then i divided by 2

Answer:

a) .389

Step-by-step explanation: