Answer: The mean is 75
Step-by-step explanation:
- You add the scores in the data:
78+64+74+92+67 = 375
- Then divide by the number of scores in the data:
there are 5 scores in the data,
1) 78
2) 64
3) 74
4) 92
5) 67
- So:
375/5 = 75 <--- mean
Model each pair of situations with exponential functions f and g. Find the approximate value of x that makes f(x) = g(x).
25. F: initial value of 100 decreasing at a rate of 5%
G: initial value of 20 increasing at a rate of 5%
The model of the exponential functions
25:
f(x) = 100(0.95)ˣg(x) = 20(1.05)ˣf(x) = g(x) at x = -46.5326
f(x) = 40(1.25)ˣg(x) = 10,000(0.84)ˣf(x) = g(x) at x = 113.11How to model each pair of the functions with exponential functionConsidering the given problem, f(x) = a(b)^x
the starting = a
the base = b
the exponents = x
25.
F: initial value of 100 decreasing at a rate of 5%
a = 100, rate, r = 5%, b = 1 - 0.05 = 0.95
f(x) = 100(0.95)ˣ
G: initial value of 20 increasing at a rate of 5%
a = 20, rate, r = 5%, b = 1 + 0.05 = 1.05
g(x) = 20(1.05)ˣ
solving for f(x) = g(x)
20(1.05)ˣ = 100(0.92)ˣ
divide through by 20
(1.05)ˣ = 5(0.92)ˣ
x㏒(1.05) = ㏒(5 + (0.92)ˣ)
x㏒(1.05) = ㏒5 - x㏒0.92
x㏒(1.05) + x㏒0.92 = ㏒5
-0.015x = ㏒5
x = -46.53
26.
f: initial value of 40 increasing at a rate of 25%
a = 40, r = 25%, b = 1 + 0.25 = 1.25
f(x) = 40(1.25)ˣ
g: initial value of 10,000 decreasing at a rate of 16%
a = 10,000, r = 16%, b = 1 - 0.16 = 0.84
g(x) = 10,000(0.84)ˣ
solving for f(x) = g(x)
40(1.25)ˣ = 10,000(0.84)ˣ
divide through by 40
(1.25)ˣ = 250(0.84)ˣ
x㏒(1.25) = ㏒(250 + (0.84)ˣ)
x㏒(1.25) = ㏒250 - x㏒0.84
x㏒(1.25) + x㏒0.84 = ㏒250
0.0212x = ㏒250
x = 113.11
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consider the decimal -0.022 . what is the decimal as a simplified fraction?
could you also explain how you got your answer you dont have to but it would be helpful :))))
Answer:
-11/500
Step-by-step explanation:
-0.022
To change the decimal number into a fraction, start by reading the number.
The second 2 is in the thousandths place. This number is read as:
"negative twenty-two thousandths"
Now write a fraction with 22 over 1000, and with a negative sign.
-0.022 = -22/1000
Now we reduce. 22 and 1000 are divisible by 2.
-0.022 = -22/1000 = -11/500
Write an exponential function to model the data in each table. Identify the growth or decay factor. (23) Picture
The model of the exponential functions show that
23: table 1 is a decay with a rate of 50%24. tables 2 is a growth with a rate of 10%How to write exponential function to model the data in each tableConsidering the given problem, f(x) = a(b)^x
the starting = a
the base = b
the exponents = x
23. Table 1
At x = 0
f(x) = a(b)^x
(b)^0 = 1
solving for a
4 = a * (b)^0
4 = a
At x = 1
f(x) = a(b)^x
(b)^1 = b
substituting known variables
2 = 4(b)^1
b = 2/4
b = 0.5
for decreasing rate, b = 1 - 0.5 = 0.5
rate, r = 50%
24. Table 2
At x = 0
f(x) = a(b)^x
(b)^0 = 1
solving for a
100 = a * (b)^0
100 = a
At x = 1
f(x) = a(b)^x
(b)^1 = b
substituting known variables
110 = 100(b)^1
b = 110/100
b = 1.10
for increasing rate, b = 1 + r = 1.10, r = 0.10
rate, r = 10%
The base is what determines exponential growth or decay
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What is the solution to the equation 46=56−5
46
=
56
−
5
m
?
Two square-shaped fields are next to each other. The perimeter of each field is 28 feet. The two fields are joined together to form a single rectangular field. What is the perimeter of the rectangular field?
A. 42 feet
B. 49 feet
C. 56 feet
D. 63 feet
Answer: A. 42 feet
Step-by-step explanation:
If a square has a perimeter of 28 feet, then each side would be 7 feet long because a square has 4 equal sides.
So if they are joined together to make a rectangle, the short side would be 7 feet long and the longer side would be 14 feet long.
You then add all the sides together so:
7 + 7 + 14 + 14 = 42 feet
A store is instructed by corporate headquarters to put a markup of 11% on all items. An item costing $18 is displayed by the store manager at a selling price of $2. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
(Round to the nearest dollar as needed.)
Answer: The amount off is 1.98 which means the the correct price is $16.02
Step-by-step explanation: 18 x 11 = 198 divided by 100 = 1.98 subtract 1.98 from 18 and boom you have the correct discounted price
Can someone help, please
Answer:
9/5
Step-by-step explanation:
Slope=(y2-y1)/(x2-x1)
(10-1)/(7-2)
=9/5
HELP PLEASE!!
(you get +20 points for answering correctly)
This table represents the number of ounces, u, a kitten grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=2/3, y-intercept=−0.2
slope=−3/2, y-intercept = 3
slope= 3/2, y-intercept = 3
slope= −2/3, y-intercept=−0.2
Answer:
dang I frfr don't know this I want some points
Select each situation that can represent a proportional relationship.
The price of buying x gallons of gas at $3 a gallon.
The total amount of money a child earns from doing chores when she earns $10 a week for w weeks.
The total amount of weight a kitten gains in w weeks when it gains 4 ounces per week and started at a weight of 6 ounces.
The price of renting a scooter for m miles when it costs $0.75 per mile plus a base fee of $2.50.
Answer: The kitten will cost more than the kids pay and the scooter will cost 0.75 dollars per mile
Step-by-step explanation:
Solve the following word problem by creating an algebraic equation and solving for the unknown value.
Madison and Mackenzie made $87 selling girl scout cookies. Madison made $15 more than 2 times as much as Mackenzie made. How much money did Mackenzie make?
Answer:
2 equations were used : x + y = 87 and x = 2y + 15
Step-by-step explanation:
Defining variables:
Madison = x
Mackenzie = y
-----------------------------------
Here's what we know:
Madison and Mackenzie made $87 selling girl scout cookies (TOGETHER). Therefore: x + y = 87
We also know that Madison made $15 more than 2 times as much as Mackenzie made.
Therefore: x = 2y + 15
Now we can substitute the 2nd equation (x = 2y + 15).
This gives us (2y + 15) + y = 87
After solving (2y + 15) + y = 87, we get y = 24
Okay, so now we know Mackenzie sold $24 worth of girlscout cookies...
this is also known as y = 24
---------------------------------------------------------------------------------------------------------
If we were to find out how much madison made aswell, here's what we would do.
We will put y = 24 back into the original equation (x + y = 87).
x + 24 = 87
x = 63
Madison sold $63 worth of girlscout cookies.
on Monday, Gina ran 1 mile in 9.3 minutes. her times for running 1 mile on each of the next four days, relative to her time on Monday, were -1 2/3 minutes, -1.45, -1.8 minutes and - 1 3/8 minutes. list these relative times in order from least to greatest?
PLEASE HELP THIS WAS DUE FRIDAY BUT I DIDNT HAVE TIME
THANK YOU FOR YOUR HELP
Answer:
-1.8 < 1 2/3 < 1.45 < 1- 3/8 < 9.3
Step-by-step explanation:
-1 2/3= -1.67 min
-1 3/8 = -1.375 min
so 7he least to greatest is
-1.8 < 1 2/3 < 1.45 < 1- 3/8 < 9.3
The ordered list from least to greatest is -1.8 < -1 2/3 < -1.45 < -1 3/8
What is a mixed fraction?
A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder.
So, a mixed fraction is a combination of a whole number and a proper fraction.
According to the given question:
Gina's relative time list is [tex]-1\frac{2}{3}[/tex] , -1.45, -1.8, [tex]-1\frac{3}{8}[/tex]
Converting mixed fractions to decimal forms to make comparison easy.
-1 2/3 = -1 + 2/3 = - 1.6 min
-1 3/8 = -1 + 3/8 = -1.375 min
Hence the new list is - 1.6, - 1.45, - 1.8, - 1.375
Arranging from least to greatest as follows
-1.8 < - 1.6 < - 1.45 < - 1.375
- 1.8 < -1 2/3 < -1.45 < -1 3/8
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can someone show me hwo to do this so that i know how to do this please
Answer:
y = -2x - 2
Step-by-step explanation:
Question 9 math homework
Answer:
D
Step-by-step explanation:
Things To Keep In Mind:
a^2 + b^2 = c^2 (Pythagorean Theorem)
C^2 is usually the hypotenuse or the slanted side across from the right angle
(The right angle is 90 degrees and is marked with a square)
a and b can be switched around
a=5
b=?
c=10
5^2+b^2=10^2
5^2=25
10^2=100
25+b^2=100
-25 -25
b^2=75
b=square root of 75
The answer is D
If there is a problem with this answer please feel free to tell me, thanks :)
Blanca is going to use a box that is a rectangular prism for a card box at her son’s birthday party. She will wrap and decorate the box. The dimensions of the box are shown in the diagram.
What is the total surface area of the box in square inches?
Answer:24 m/s
Step-by-step explanation:
(-1/2)³(-1/2)²
Please help me
Answer:
(-1/2)^5 or approx. -0.03125
Step-by-step explanation:
3 + 2 = 5
(-1/2)^5 = -0.03125
(-10) to the 6th power
Answer:1000000
Step-by-step explanation:
Raise -10 to the power of 6
(-10)(-10)(-10)(-10)(-10)(-10)
1000000
since there is a parentheses around -10 and the power is a even number, the answer is positive.
How do you turn 0.302 into a fraction
Answer: 151/500
Step-by-step explanation:
Which of the following tables represents a linear relationship that is also proportional?
x −1 2 5
y −1 0 1
x −2 −1 0
y −1 0 1
x −2 −1 0
y −4 −2 0
x −4 −2 1
y −2 0 3
PLEASE HELP THIS IS DUE IN AN HOUR Austria-Hungary was ruled by which emperor during the late 1800's? Question 10 options: a) Archduke Ferdinand b) Napoleon c) Mohandos Ghandi d) Franz Josef e) Sun Yat-sen
Answer:
Franz Joseph
Step-by-step explanation:
Three subtracted x from is greater than or equal to -25.
The slope of the line that passes through the point \left( 2 , 4 \right)(2,4) and \left( 3 , 8 \right)(3,8) is
Answer:
Step-by-step explanation:
tbh im confused
Which situation is represented by the inequality?
7x + 50 > 4x + 100
If you are planning on leaving 20% tip to the waiter and your meal costs $89.95, how much will you pay all together?
Answer: $107.94
Step-by-step explanation: The bill cost $89.95 with a tip amount of 20% you would end up spending $107.94 if you are not splitting the bill
Answer: 107.94: The total you pay is 107.94
Step-by-step explanation:
Total before the tip is 89.95
20% of 89.95 is equivalent to 0.20 x 89.95, which equals 17.99
add this tip, 17.99, to the price of the meal, 89.95.
17.99+89.95=107.94
ABC is a right triangle with vertices B (9, 4) and C (3, 9).
What are the coordinates of vertex A?
Enter your answers in the boxes.
Answer:
A (3, 4)
Step-by-step explanation:
A has to be positioned horizontally along B. This means its x coordinate is the same as x-coordinate of B which is 4
A also has to be positioned vertically below C. This means its y coordinate is the same as the y-coordinate of C. So y-coordinate of A is 3
So coordinates of A are (3, 4)
Find the sum of 5.21 × 1019 and 3.149 × 1017.
8.359 × 1019
5.24149 × 1019
5.24149 × 1036
8.359 × 1036
Answer: 8511. 523
Step-by-step explanation:
Re write the equation:
(5.21 x 1019) + (3.149 x 1017)
= 8511. 523
Compare each investment to an investment of the same principal at the same rate compounded annually.
17. Principal: $8,000
Annual interest: 6%
Interest periods: 4
Number of years: 20
Step-by-step explanation:
income is based on a formula (rt)
r is a % of p (% being Annual Interest)
t is time (number of years)
p is principal.
17. 9,600$ in interest (lost or gained, gained is added from p, lost is subtracted from p)
18. is 1,750$
I am not entirely sure what interest periods are but I assume you can use this formula to find it. good luck man.
Fred bought 4 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 33 cards left. How many cards did Fred start with ?
Can someone help, please
slope intercept form = y = mx + b where m = slope and b = y-intercept.
You know that:
slope = 2
y-intercept = -8
y = 2x + (-8)
slope intercept form = y = 2x - 8
Two questions added in both images.
Answer:
17.876
Step-by-step explanation:
my math teacher Mr.Q
Can someone help, please
Answer:
- 8/7
Step-by-step explanation:
slope = (13-5)/(3-10)
slope = 8/-7
slope = - 8/7