Professor Trey Angle writes the equation y=10000(0.75)x on the chalkboard to introduce exponential decay to their students. They explain how when x = 0, y = 10000 and when x = 1, y = 7500. Finish his next statement: "As one gets larger, the other gets smaller. So If x = 3, then y = , which is under half the original value.

Answer: about 81.395%

Step-by-step explanation:

1) Subtract 78 - 43 to find the difference. ==> 35

2) Divide the increase by the original number, 43. ==> 35/43 = 0.8139534884

3) Multiply the answer by 100. ==> ~81.395%

BASICALLY: % increase = Increase ÷ Original Number × 100.

I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?

I'll do the first page.

6)

Right triangle, opposite side of 10, adjacent side of 21,

tan x = opp/adj = 10/21

x = arctan 10/21 = 25.46°

Answer: 25

7)

cos x =   adj / hyp = 10/14

x = arccos 10/14 = 44.42°

Answer: 44

8)

tan x = opp/adj = 12/24 = 1/2

x = arctan 1/2 = 26.57°

Answer: 27

9)

tan x = 31/32

x = arctan 31/32 = 44.09°

Answer: 44

10)

x = arctan 10/27 = 20.32°

Answer: 20

Answer:

x=130

Step-by-step explanation:

Find the base angles of the isosceles triangle: 2y+50=180

2y=130

y=65

x=2(65)=130

Therefore, x=130

I hope this helped and have a good rest of your day!

2y+50=180

2y=130

y=65

x=2(65)=130

answer= x=130

give brainliest to the top of me NOT ME

Answer:

24.

Step-by-step explanation:

We can use the factorial function to find the number of unique arrangements in a word.

There are 4 unique characters in 'OPAL'. As such, 4! = 24.

In the case that there were repeating characters, such as 'OPALA', then we would divide by the factorial of the number of repeating letters. That looks something like this:

[tex]\frac{5!}{2!} = 60[/tex]

Hope this helped.

Answer:

i think 24 beacuse opal has 4 letters and then u mutiply it by 6 and get 24

Step-by-step explanation:

Answer:

Complete Question:

Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.

a. Create a box-and-whisker plot for the data.

b. What is the median temperature?

c. 75%of the temperatures are below what value?How  do you know? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?

Step-by-step explanation:

TASK 3

The city picked is Baltimore, the year 2017.

The table is attached in picture #1.

a) The box-and-whisker plot is attached in picture #2.

b) The median is the central value of the distribution i.e:  

42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1,  76.5,  80.6 | 85.8, 87.8, 90.0 

where we marked with a tally the quartiles.

As we have 12 values,  the average between the two central values will be the median :

M = (66.0 + 69.1) / 2 = 67.1 °F

c) 75% of the temperatures are below 83.2 °F.

Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:

3/4 · (n + 1) = 3/4 · (12 + 1) = 3/4 · 13 = 9.75

Therefore, since we did not get in integer position, the third quartile will be the average between the numbers in position 9 and 10:

q₀.₇₅ = (80.6 + 85.8) / 2 = 83.2 °F

d) 75% of the temperatures are above 50.8 °F.

Indeed, this value represents the first quartile. Similarly to point c), the position can be found by the formula:

1/4 · (n + 1) = 1/4 · 13 = 3.25

And therefore:

q₀.₂₅ = (46.8 + 54.7) / 2 = 50.8 °F. 

e) Baltimore in 2017 had a median high temperature of 67.1 °F.

25% of the year the high temperatures were warmer than 83.2 °F, with no outlier above 90.0 °F which was the hottest temperature.

25% of the high temperatures were colder than 50.8 °F, with no outlier below 42.4 °F, which was the coldest high temperature.

Answer: 4738.46 ÷ by 4930.92=0.960968744

You can use online calculators

Answer: 0.960968744

Step-by-step explanation: 4738.46/4930.92

                                             = 0.960968744

As a fraction it would be 54/100

Answer:

0.0228

Step-by-step explanation:

Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5

Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For x > 3

[tex]z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2[/tex]

From the normal distribution table, P(x > 3) = P(z > 2) = 1 -  P(z < 2) = 1 - 0.9772 = 0.0228

Answer:

Step-by-step explanation:

Given the information of the conical hat

=> the slant height of the hat is (use Pythagorean Theorem)

[tex]s^{2}[/tex] = [tex]r^{2} + h^{2}[/tex]

<=> [tex]s^{2}[/tex] = [tex]8^{2} + 9^{2}[/tex]

<=> s = [tex]\sqrt{145}[/tex]  

The area (without the base area) of tissue paper will she need to make one hat is:

SA = πrs  in2

<=> SA =  π*8*[tex]\sqrt{145}[/tex]  in2

<=> SA =8 [tex]\sqrt{145}[/tex] π

=> the total tissue paper will she need for 21 hats is:

SA*21

= 8 [tex]\sqrt{145}[/tex] π*21

= 6352,18 in 2

complete question:

The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?

Answer:

The original number is 10a + b  = 10 × 3 + 5  = 35

Step-by-step explanation:

Let

the number = ab

a occupies the tens place while b occupies the unit place. Therefore,

10a + b

The sum of the digits of two-digits numeral

a + b = 8..........(i)

If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.

Therefore,

10b + a = 18 + 10a + b

10b - b + a - 10a = 18

9b - 9a = 18

divide both sides by 9

b - a = 2...............(ii)

a + b = 8..........(i)

b - a = 2...............(ii)

b = 2 + a from equation (ii)

Insert the value of b in equation (i)

a + (2 + a) = 8

2a + 2 = 8

2a = 6

a = 6/2

a = 3

Insert the value of a in equation(ii)

b - 3 = 2

b = 2 + 3

b = 5

The original number is 10a + b  = 10 × 3 + 5  = 35

Answer:

1.5707

Step-by-step explanation:

i solved it using the furmola :

[tex]2\pi \times r \frac{45}{360} [/tex]

Answer:

Step-by-step explanation:

We know that the length of the arc in a circle is proportional to its corresponding angle which means:

a corresponds to 45

2πr corresponds to 360

then

[tex]\frac{a}{45} = \frac{2\pi r}{360}[/tex]

then

a = (45÷360)×4×π

 =1.570796326795

Answer:bruh thats too much and its long

Step-by-step explanation:

Hausu

Answer: y= - 6

Step-by-step explanation:3×-2= - 6

Answer: g = 10

Step-by-step explanation: 8g + 3 = –6g + 13g + 13

                                             8g + 3 = (–6g + 13g) + (13)

                                             8g + 3 = 7g + 13

                                             8g + 3 - 7g = 7g + 13 - 7g

                                             g + 3 = 13

                                             g + 3 - 3 = 13 - 3

                                             g = 10                                            

Answer:

[tex]8g + 3 = -6g + 13g + 13 : g = 10[/tex]

Step-by-step explanation:

[tex]8g+3=-6g+13g+13[/tex]

Add similar elements: [tex]-6g+13g=7g[/tex]

[tex]8g+3=7g+13[/tex]

Subtract [tex]3[/tex] from both sides:

[tex]8g+3-3=7g+13-3[/tex]

Simplify:

[tex]8g=7g+10[/tex]

Subtract [tex]7g[/tex] from both sides:

[tex]8g-7g=7g+10-7g[/tex]

Simplify:

[tex]g=10[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

Answer:  The slope is -6.

Step-by-step explanation:

(1,2)  (0,8)

2-8= -6

1-0= 1

-6/1= -6

Answer:

6 is the mode

Step-by-step explanation:

The mode is the most repeating set of data. So 6 repeating 12 times is the most frequent. So thats the explanation.

Answer:

six

The answer is six because it has the most number

Answer:

[tex]\frac{5}{2}[/tex] ÷ [tex]\frac{20}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] ÷ [tex]\frac{3}{5} =\\[/tex]

[tex]\frac{3}{8} *\frac{5}{3} =[/tex]

[tex]\frac{15}{24} = \frac{5}{8}[/tex]

So we need a division problem that equals [tex]\frac{5}{8}[/tex]

[tex]\frac{5}{8} =\frac{25}{40}[/tex]

[tex]\frac{5}{2} *\frac{5}{20}[/tex]=

[tex]\frac{5}{2}[/tex] ÷ [tex]\frac{20}{5}[/tex]

Answer:

Step-by-step explanation:When we divide this we got . First we need to check if we can divide numerator by numerator, denominator by denominator. We can not. Then we multiply first fraction by other but in other we use reciprocal value.

Answer:

x-4

Step-by-step explanation:

|x−4|  if x>4

That means x-4 is always positive since x> 4

x-4

Answer:

To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Step-by-step explanation:

Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:

Will's shop:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

[tex]\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\[/tex]

We can isolate "x" on the second equation, we have:

[tex]x = \frac{570 - 11y}{7}[/tex]

Applying this value on the first equation:

[tex]12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20[/tex]

Applying the value of "y" we found on the "x" equation above, we have:[tex]x = \frac{570 - 11*20}{7}\\x = 50\\[/tex]

Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Answer:

I will explain how to do this.

Step-by-step explanation: For example A-B is going away from her home because the distance is changing and in the beginning it says Mary starts at her house. So now to continue, where the first letter meets the last letter ( in this scenario its A-B) you'll look at the space between it and count the ticks on the side where it says distance and use the number on the side to guide you. Now for time you'll do the same thing with the ticks on the side. But for where it goes down she is going the opposite way so it'll still be distance but she will be going back home, for the straight line that means she is not moving at all. Hope this helps :)

Answer:

A parabola has a vertex. The vertex is the point of a parabola where it changes direction. It also has an axis of symmetry which is an imaginary line that cuts it in two equal parts. A parabola may have x-intercepts ("zeros") which are points where the graph cross the x-axis. It may have x-intercepts which are points where the graph cross the x-axis.

Answer:

326.6 m^2

to nearest tenth.

Step-by-step explanation:

The radius of the flower bed = 1/2 * 22 = 11m

The radius of the whole area included the sidewalk = 11 + 4 = 15 m

So the area of the sidewalk = area of the whole - area of flower bed

= 3.14 * 15^2 - 3.14* 11^2

= 326.6 m^2.

Answer:

You didn't give the geometric sequence in question.

But to find the nth term of a geometric sequence, use the formula

Sn = ar^(n - 1)

Where a is the first term of the sequence

r is the common ratio of the sequence.

Example: To find the nth term of the geometric sequence

1/2, 1/4, 1/8, 1/16, ...

Here, a = 1/2

r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.

Sn = (1/2)(1/2)^( n - 1)

Apply this method to the sequence you were given, it will be helpful.

Answer:

a²+b²+c²

for cuboid

Answer:

i dont understand your question.

Step-by-step explanation:

Answer:

m-15=-5

m=15-5

m=10

when you take the-15 over it becomes positive and the negative remains giving you 15-5

when you work it out 10-15=-5

Answer:14

Step-by-step explanation:Start by writing like this below

98 =2×7×7

42 =2×3×7

H.C.F=2×7

=14

Take the number which is common like in 98 and 42, (2) and (7) are common

and then multiply the two numbers.

Hope it helps you!

Answer:

Step-by-step explanation:

98 = 2 * 7 * 7

42 = 2 * 7 * 3

Highest common factor = 7

HCF of two or more numbers is the greatest number  which divides each of then exactly

Answer:x=4.3

Step-by-step explanation:

Step 1: Divide both sides by 1.2

1.2x/1.2=5.16/1.2

X=4.3

Hope I helped

Answer:

X=4.3

Step-by-step explanation:

I literally guessed some random numbers and got it right. You can trust me tho. It’s right.

Answer:

Answer is 11.046

Explanation :

The formula is pie × r² × height

If you don't understand.. Lemme know ya

Answer:

5

Step-by-step explanation:

By multiplying the binomials, you get the expression x² + 9x - 4x - 36. Simplify by combining like terms to get x² + 5x - 36. 5 is our missing number and is the coefficient of our x variable.