Which table shows exponential decay?

Answer:

a) x = 14

b) The perimeter of △QRS is 77 units.

Step-by-step explanation:

a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.

Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.

Hence, △RTV ~ △RQS.

According to the Triangle Proportionality Theorem:

[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]

Hence, we can substitute all values that we know from the diagram:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]

After getting this information, all we have to do is simplify and solve the equation:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]

[tex]3(2x - 2) = 2(2x + 11)[/tex]

[tex]6x - 6 = 4x + 22[/tex]

[tex]6x - 4x = 22 + 6[/tex]

[tex]2x = 28[/tex]

[tex]x = 14[/tex]

To verify this answer, we can plug in the value of x into the equation:

[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]

[tex]\frac{26}{39} = \frac{2}{3}[/tex]

[tex]\frac{2}{3} = \frac{2}{3}[/tex]

Hence, after verification, we can get the answer: x = 14.

--------------------------------------------------------------------------------------------------------------

b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.

Hence, 2(14) - 2 + 13 + 17 + 21

= 28 - 2 + 13 + 17 + 21

= 77 units

Therefore, the perimeter of △QRS is 77 units.

Hope this helped!

Answer:

 x • (3x + y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x to the power of to +xy= x (3x+y)

Answer:

i think its a

Step-by-step explanation:

the x+3 is the sum and ofc the number is the number

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

Answer:

The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.

The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.

Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.

Let X denotes the weekly salary of her mother.

X ~ Normal(740,432)

Let Y denotes the weekly salary of her father.

Y ~ Normal(535,252)

and X and Y are independent.

the average weekly salary of your parents combined = E(X+Y)

= E(X) + E(Y) = 740 + 535 =  1275

the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474

the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739

Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ5

Step-by-step explanation:

sqrty = y^(0.5)

1 / sqrty = y^(-0.5).

-1/5 = -0.2.

Therefore we have (1 / sqrty)^(-1/5)

= [y^(-0.5)]^(-0.2)

= y^[(-0.5)(-0.2)] (Law of indices)

= y^0.1

= 10th square root of y. (2nd option)

Answer:

1/sqrt 10th y

Step-by-step explanation:

1/(sqrt9)

19/76sprt

Answer:

Step-by-step explanation:

the park has 1/5 white birds

out of this number, 2/3 are ducks

ducks=(1/5)/(2/3)=3/10

hungry ducks=(3/10)/(3/4)=6/15

Answer:

x = 12

Step-by-step explanation:

5x - 30 = 2x + 6

3x = 36

x = 12

Answer:

x=12

Step-by-step explanation:

1) distribute values:

5x-30=2x+6

2) add 30 to both sides

5x=2x+36

3) subtract 2x from both sides

3x=36

4) divide by 3

x=12

Answer:

415 ÷ 3.4 = 122.058

Step-by-step explanation:

Answer:

x  <  15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

congruent: 1 & 8,

congruent & corresponding: , 4&8

supplementary: 2&5, 3&5, 3&4

i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped

Answer:

It is also not B.

Step-by-step explanation:

I think that it might be D then.

50% chance lol

9514 1404 393

Answer:

  π/3

Step-by-step explanation:

The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.

It is convenient to make the substitution ...

  x = sin(y) . . . . so, y = arcsin(x)

 dx = cos(y)·dy

Then the integral is ...

  [tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]

Answer:

D

Step-by-step explanation:

i think the 4th is the answer

Answer:

you should multiply 2 by 2.1 with that you would get the width of the dog run.

The width would be 4.2

Step-by-step explanation:

Answer:

W = 4.2 ft

Step-by-step explanation:

By what number must we multiply 5 to get the actual length 10.5 feet?

5x = 10.5 ft, or x = 2.1 ft, where x is the length

The following is true:  5 : 2 = L : W, or

  5      L

----- = -----

  2       W

Since we have L (10.5 ft) and need W, we solve the above equation for W:

5W = 2L, so that W = (2/5)L

Since L = 10.5 ft, W must be W = (2/5)(10 1/2 ft)

                    2           21

Then W = --------- * -------- ft = 21/5 ft = 4.2 ft                W = 4.2 ft

                     5           2

Answer:

Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories  

Step-by-step explanation:  

Null Hypothesis [H0] : u < 250  

Alternate Hypothesis [H1] : u > 250 {One Tail}  

t = (x' - u) / [ sd / √n ]  

= (255 - 250) / (5.6 / √20)  

5 / (5.6 /√20)  

= 3.99  

As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.  

Answer: D

Step-by-step explanation:

The best use of the associative and commutative properties to simplify the expression 2.4 + 13 - 5 + 3.6 + 7 would be:

D. (2.4 + 3.6) + [13 + 7 + (-5)]

By applying the associative property, we can group the numbers in a way that allows for easier computation.

Here, we group 2.4 and 3.6 together and 13, 7, and -5 together. This allows us to simplify each group separately and then add the results together.

Calculating the groups:

(2.4 + 3.6) = 6

[13 + 7 + (-5)] = 15

Now, we add the results together:

6 + 15 = 21

So, the simplified expression is 21. Therefore, option D provides the best use of the associative and commutative properties to simplify the given expression.

Learn more about the associative and commutative properties here:

https://brainly.com/question/29279825

#SPJ2

Answer:

the answer is c

Step-by-step explanation:

Step-by-step explanation:

2800/7 = 400, ,

please you can see the upper paper which

can to solve this division math

Answer:

3(-4x+8)= now distribute it -12 x+24 so the answer will be that

Answer:

108 votes

Step-by-step explanation:

There were 180 votes in the election and Jordan received 10% of them.

180 × 0.10 = 18

Jordan received 18 votes the first time. This year, he received 6 times as many votes.

18 × 6 = 108

Jordan received 108 votes this year.

Hope that helps.

Answer:

the answer is 4!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

LOL

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

The required values are in the completed table which has been attached below.

Distance is defined as the product of speed and time.

Since the Cheetah's speed is constant, the speed must be consistent throughout the table.

To calculate the unknown time and distance, use the following formula:

Speed = Distance/Time = c

When distance = 120m, time = 4 secs

Speed = 120/4 = c

Speed = 30m/s = c

We are to get the distance when the time is 25 secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Therefore, the required values are in the completed table which has been attached below.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

Answer:

.625

Step-by-step explanation:

Answer:

1.6

8min divided by 5 equals 1.6 so 1.6min for each lap

Answer: x= 1/2y+2

Step-by-step explanation:

Answer:

saurav

Step-by-step explanation:

1 dozen of pen is = 12.

12 = 180

7 = 390

Answer:u have to be missing something

Step-by-step explanation:

Answer:

does the question have a graph or is it just the word problem?

here is the answer if its just the word problem

Step-by-step explanation:

y= -5x+4

hope I helped :)

Answer:

True

Step-by-step explanation:

y = mx + b,

where m = slope and b = y-intercept.

You have m = -2 and b = -5, so you get

y = -2x - 5

Answer: True