Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.

Answer:

Tt = Ts + Ce^-kt

Tt = 62 + 138e^-0.0068t

Step-by-step explanation:

The initial value problem for the Newton cooling rate is :

Tt = Ts + Ce^-kt

Initial temperature,when freshly poured Ti = 200°F

Temperature after 11 minutes = 190°F

Temperature of room, Ts= 62°F

Using the relation :

Tt = Ts + Ce^-kt

Temperature after time, t

When freshly poured, t = 0

k = constant of proportionality

We can then solve for C and k as follows :

200 = 62 + Ce^-0k

200 = 62 + C

C = 200 - 62 = 138°F

Using the Temperature after 11 minutes ; we can find, k, proportionality constant:

Temperature, Tt after, t = 11 minutes = 190

Tt = Ts + Ce^-kt

190 = 62 + 138e^-11k

128 = 138e^-11k

128 / 138 = e^-11k

0.9275 = e^-11k

Take In of both sides :

−0.075223 = - 11k

k = −0.075223 / - 11

k = 0.0068

The model function becomes :

Ts = 62 ; C = 138

Tt = 62 + 138e^-0.0068t

Answer:

slope is 3/1 y=2

Step-by-step explanation:

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...

  time = distance / speed

The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.

  total time = time spent walking + time spent riding

  13/6 = (d/3) + (20-d)/30

Multiplying by 30 gives ...

  65 = 10d + 20 -d

  45 = 9d . . . . . . . . . . subtract 20

  5 = d . . . . . . . . . . . . divide by 9

The girl walked 5 miles.

_____

Check

Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.

Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.

Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.

Answer:

1) -95.

2) 15.

3) The conference center is on floor 5.

Step-by-step explanation:

1) Evaluating gives [tex]-52-30-13=-(52+30+13)=-(95)=-95.[/tex]

2) Substituting gives [tex]x+27=(-12)+27=15.[/tex]

3) After going 4 floors down, we are on level -4. After going 9 floors up to the desired room, we are on level -4+9=5. So the conference center is on floor 5.

Answer:

1. -95

2. 15

3. 5th Floor (-4 + 9)

Step-by-step explanation:

Answer:

hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference

Step-by-step explanation:

Those look hard

But maybe someone can help

Answer:

x = 8

The number is 8

Step-by-step explanation:

36 – (3x) = 4 + x

36 – (3 • 8) = 4 + 8

36 – 24 = 12

12 = 12

x = 8

I hope this helps.

9514 1404 393

Answer:

Step-by-step explanation:

The agency's commission was ...

  0.046 × $311,000 = $14,306

The agent's commission was ...

  0.25 × $14,306 = $3,576.50

__

The agency made $14,306; the agent earned $3,576.50.

Answer:

1/3 is eaten and 2/3 is left

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x-(x-18)=6-2(x+15)

5x-x+18=6-2x-30

6x=-42

x=-7

The equivalent value of the expression is x = -7

Given data ,

Let the equation be represented as A

Now , the value of A is

5x - ( x - 18 ) = 6 - 2 ( x + 15 )

On simplifying the equation , we get

5x - ( x - 18 ) = 6 - 2 ( x + 15 )

So , the left hand side of the equation is equated to the right hand side by the value of 6 - 2 ( x + 15 )

Opening the parenthesis on both sides , we get

5x - x + 18 = 6 - 2x - 30

From the distributive property , we get

5x - x + 18 = 6 - 2x - 30

On further simplification , we get

4x + 18 = -2x - 24

Adding 2x on both sides , we get

6x + 18 = -24

Subtracting 18 on both sides , we get

6x = -24 - 18

6x = -42

Divide by 6 on both sides , we get

x = -42/6

x = -7

Therefore , the value of x = -7

Hence , the expression is x = -7

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:

28

Step-by-step explanation:

7C2

The 3rd term of 7th row of the Pascals triangle is 21.

We have a Pascal's triangle.

We have to determine the 3rd term of 7th row of this triangle.

A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -

[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]

If we have to find the element or term at position - m in row number - n, than the element will be -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

We have - n = 7 and m = 3

[7] C [2] = [6] C [1] + [6] C [2]

[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]

Hence, the 3rd term of 7th row of the Pascals triangle is 21.

To solve more questions on Pascals Triangle, visit the link below-

https://brainly.com/question/15655806

#SPJ2

Answer:

[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} {x}^{2} + 2 + \frac{1}{4} x + 8[/tex]

[tex]2 + 8 = 10[/tex]

[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]

Answer:

prime factors of 900 are 2,2,3,3,5,5

which is the same as 2^2×3^2×5^2

Answer:

60cm³

Step-by-step explanation:

Answer:

1500 + 2250 =

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an arithmetic progression with:

Required expression is:

Answer:

X = 5

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

di ko po alam kung tama ba

(sana po makatulong po)

Answer:

You are looking at a pair of parallel lines (a and b) and a transversal that crosses them both.

Now that you know what think back to when you learned the relationship between angles formed by a transversal and a set of parallel lines.

You can have same side exterior, same side interior, alternate interior and alternate exterior. Which set of these are these angles?

Remember same side interior and same side exterior angles are supplementary (they have a sum of 180 degrees). Alternate interior and alternate exterior angles are congruent. Knowing this how can an equation be written using the expressions in the image?

Step-by-step explanation:

Answer:

x = 3.4

Step-by-step explanation:

Since these two angles are opposite exterior angles, they are equivalent. that means that 5x - 2/3 = 3 1/3x + 5, from here you should simplify the terms so you have all of x on one side and all of the number on ther other, it should be 1 2/3x = 5 2/3, then all you have to do is divide both sides by 1 2/3 to get x which is 3.4 or 3 2/5

Answer:

Which one?

Step-by-step explanation:

Answer:

f(-1

Step-by-step explanation:

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse".

Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).

For each sample, the mean and the standard error are given by:

[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]

[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]

Hence, for the distribution of differences, the mean and the standard error are given by:

[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]

[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]

It is given by:

[tex]p \pm zs[/tex]

In which z is the critical value.

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

Then, the bounds of the interval are given as follows:

[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]

[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]

The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

The length of the actual wall is 405 inches or 33.75 feet

Answer:

ehjrbbvhbvebvuhbdhvhdhsduhsdbrhw

Step-by-step explanation:

Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Step-by-step explanation:

Remember, a quadratic function which has roots x = a, and x = b, can be written as:

p(x) = A*(x - a)*(x - b)

Where A is the leading coefficient. This is the factorized form of a quadratic.

We have the function:

f(x) = (x - 3)^2

Now, we could rewrite this as:

f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)

Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)

Then the only root of f(x) is x = 3.

Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:

A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Answer:

9

Step-by-step explanation:

simplify both sides of the equation then isolate the variables. hope this helps

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}