Answer:
Step-by-step explanation:
a) f(t) = 110(0.95)^t
0.95<1, so the function shows 5% decay
b) f(t) = 1.08(1.07)^t
1.07 > 1, so the function shows 7% growth
Question 16
16. Twenty more than a number, n, is
10 less than twice the number. What is
the number?
Answer:
I think the answer should be 20
25. The heights of three-year-old boys are Normally distributed with a mean of
96 cm. and a standard deviation of 4.5 cm. What is the standard score for a
three-year-old boy who is 99.5 cm tall?
(a)-1.29
(b) -0.67
(c) 0.67
(d) 0.78
(e) 1.29
What is the score?
Find two integers whose sum is 11 and product is 24
Step-by-step explanation:
if the two integers are x and y
x+y=11
xy= 24
x+24/x=11
x2-11x+24=0
(x-8)(x-3)=0
x =8 or x=3
if x=8,y=3
if x=3,y=8
so the two integers are 3 and 8
A 8-kg load stretches an elastic belt 0.02 m. How much will a 12-kg load stretch the belt?
Answer:
A 12-kg load stretches an elastic the belt 0.03m
Step-by-step explanation:
we know A 8-kg load stretches an elastic belt 0.02 m.
=> 0.02 / 8 = 0.0025
so A 1-kg load can stretch an elastic belt 0.02 m.
=> 12 * 0.0025 = 0.03 m
A 12-kg load stretches an elastic the belt 0.03m
I'm stuck on this, does anyone know the solution?
The question is:
Calculate (2p - 4q) 2 when p= - 8 and q = - 3.
Answer:
-14 or -28
Step-by-step explanation:
2x-8=-16
4x-3=-12
-16-12=28
-16-(-12)=-14
(i would go with -14)Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3.50 per pound and she has a coupon for $2.50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.
Answer:
$8 for 3 pounds
cost for p pounds: 3.50p - 2.50
Step-by-step explanation:
Cost of 3 pounds:
Original cost = Cost per pound x 3
= 3.50 x 3
= 10.50
Coupon = 2.50
Final cost = Original cost - Coupon
= 10.50 - 2.50
= $8
Cost of p pounds:
Original cost = Cost per pound x p
= 3.50 x p
= 3.50p
Coupon = 2.50
Final Cost = Original Cost - Coupon
= 3.50p - 2.50
The manufacturer's price for a cooler is $28.50. A camping store that buys the coolers sells them for $40.76. What is the approximate percent of increase in the price of the coolers?
Answer:
43%
Step-by-step explanation:
(40.76 - 28.50) / 28.5 = .43 or 43%
Identify the slope and y intercept (m= and b= ) y=1/2x;
Answer: The slope is 1/2 and there is no y intercept
Step-by-step explanation:
Please help me with trigonometry and law of sines I’m being timed and really need the help
Step-by-step explanation:
cosA = AC² + BC²- AB² / 2 • AC • BC
cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9
Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.
Step-by-step explanation:
Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.
There are a lot of tiles to drag onto the board.
You would need to create a rectangle from 99 tiles.
80 is a multiple of 10, so it has factors of 10 and 8, which add to 18.
can some help me
out with this problem please ?
Answer:
Step-by-step explanation:
If you are looking for the value of x, use the Pythagorean Theorem.
x² = 58² - 40² = 1764
x = √1764 = 42
Answer: 42cm
Step-by-step explanation:
Using the formula
(Hypotenuse^2)= (Opposite^2) + (Adjacent^2)
Hypotenuse= 58cm
Opposite= 40cm
Adjacent= x
Therefore
(58^2)= (40^2) + (x^2)
3364= 1600 + x^2
3364-1600= x^2
1764= x^2
x= 1764^1/2
x= 42
Adjacent= 42cm
Monica estimates the recipe makes about 5 cups of fruit salad. Which explanation describes whether Monica's estimate is reasonable?
A Not reasonable. Four fractions cannot equal more than 4 cups.
B) Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C с Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.
This is taking forever to find out
Answer:
What is
Step-by-step explanation:
What is the extraneous solution of the given absolute value equation?
-2|-2x-4|=-12
9514 1404 393
Answer:
is no extraneous solution
Step-by-step explanation:
An absolute value equation typically does not have extraneous solutions. The solutions to this one are ...
x ∈ {-5, 1}
__
Unless there is some domain restriction, this equation has no extraneous solutions.
_____
For -2x-4 < 0
-2(2x +4) = -12
x +2 = 3
x = 1 . . . . . . -2(1)-4 = -6 < 0. Not an extraneous solution
__
For -2x-4 > 0
-2(-2x -4) = -12
4x +8 = -12
4x = -20
x = -5 . . . . . . -2(-5) -4 = 6 > 0. Not an extraneous solution
A book store sells used
books.
Paperback books cost $1.00.
Hardback books sell for $5.00.
The store sold 100 books and made $260 from the sale.
How many paperback books did the store sell?
Α. 20
В. 40
C. 60
D. 80
Answer:
The correct answer is C
Positive
here it is a second time. Please I just want sleep :)
Answer:
hope this helps you out good luck
WILL MARK BRAINLIEST!! Mr. Brown uses a modern technological machine to till his lands and perform tasks that require high power. This machine has a GDP for navigation purposes and auto-steer systems that minimize Mr. Brown’s work on his field. Which machine is Mr. Brown using?
1. seed drill
2. combine harvester
3. GIS
4. tractor
5. electric motor
can someone please help me with this question?
Answer:
40
Step-by-step explanation:
8 x 5 = 40
The area of a square in square feet is repersented by
[tex] {z}^{2} + 12z + 36[/tex]
Find an expression for a side length of the square.
Find the perimeter of the square when z=12.
1. Find an expression for a side length of the square.
For this case, the first thing to do is to know that the area of a square is:
A = L ^ 2
Where
L: side of the square.
We then have to factorize the given polynomial:
z ^ 2 + 12z + 36
(z + 6) * (z + 6)
Rewriting:
z ^ 2 + 12z + 36 = (z + 6) ^ 2
Answer:
The side of the square is:
L = (z + 6)
2. Find the perimeter when z = 12.
The perimeter of a square by definition is:
P = 4L
Where
L: side of the square.
Substituting we have:
P = 4 (z + 6)
For z = 12 we have:
P = 4 (12 + 6)
P = 72
Answer:
the perimeter when z = 12 is:
P = 72
If helpful, please mark as brainliest! =)
If IJ=16 and JK=9, what is the length of HK⎯⎯⎯⎯⎯⎯?
Answer:
25 or 26
Step-by-step explanation:
add 9 plus 16
so it is 16
Answer:
15
Step-by-step explanation:
Sarah has four friends. Lauren is 1.54m tall, Sophie is 1.50m tall, Kristy is 1.52m tall and Natalie is 1.49m tall. If they all stood on top of eachother how high would theybe?
Answer:
It would be 6.05m tall.
If you know the answer please help me!!!
Use your knowledge of functions to complete the table below. Identify whether or not each representation is a function and be sure to justify your answer (pls tell me which one is right)
Answer:
YesUs
Step-by-step explanation:
the vertical LIne test. The lines intercept, so it is not a function.
Please help! Will mark brainliest if correct! Worth 30 points! Wont give brainliest if you're not correct.
Answer:14.7
Step-by-step explanation:
d = l^2+w^2+h^2 = 10^2+4^2+10^2≈ 14.69694cm
See picture for question
Answer:
b is correct because it is
Step-by-step explanation:
because it is
Answer:
Step-by-step explanation:
well its quite long working out so im not gonna type it
but i didnt get an exact answer but i got to 24.71 closest to the 25 answer
so im not sure but i would take a guess for 25
find the volume of cuboid
meausring 19 cm by 15 cm by 10 cm.
Can someone please help me out on this one math problem you will get double the points if you help me, I will also give you the brain thing. Please actually help not just takes the points.
•Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer. (2 pts.)
Answer:
answer should be 105 degrees.
Step-by-step explanation:
this is becuase the 75 degree angle given creates a 105 degree angle to its left. and the car turning left onto 3rd street would be a corresponding angle to the 105 degree angle on the top. sorry if its confusing, but the answer is 105 degrees. hope it helps
Answer:The angle formed by turning from traveling southwest on King Avenue to 3rd street is a corresponding angle to the 75° angle. This means its measure is 75°. here is your answer!
Step-by-step explanation:
A drink is made by mixing 650 ml of water with 150 ml of fruit juice.
What percentage of the drink is fruit juice?
can you please reply quickly?
[tex]\boxed{\color{hotpink}\tt18.75\%} [/tex] of the drink is fruit juice
○=> Steps to derive correct answer :Quantity of water in a drink = 650 ml
Quantity of fruit juice in a drink = 150 ml
Total quantity of both items in the drink :
[tex] =\tt 650 + 150[/tex]
[tex] \color{plum}=\tt 800 \: ml[/tex]
Thus, the total quantity of both items in the drink = 800 ml
Let the percentage of of fruit juice in the drink be x%.
Which means :
[tex] = \tt\frac{x}{100} \times 800 = 150[/tex]
[tex] = \tt \frac{x \times 800}{100} = 150[/tex]
[tex] =\tt \frac{800x}{100} = 150[/tex]
[tex] =\tt 8x = 150[/tex]
[tex] =\tt x = \frac{150}{8} [/tex]
[tex]\hookrightarrow\color{plum} \bold{x = 18.75\%}[/tex]
Then, the percentage of water in the drink :
[tex] = \tt100 - 18.75[/tex]
[tex] \color{plum}= \tt81.25\%[/tex]
Thus, the percentage of water in the drink = 81.25%
○=> Therefore :▪︎Percentage of fruit juice in the drink = 18.75%
▪︎Percentage of water in the drink = 81.75%
PLS HELP ME FIND THE MAD, MADIAN, RANGE AND IQR OF THIS DATA SET.
Answer:
The median is 6. The Mean Absolute Deviation is 1.88. The range is 10. I believe the IQR is 5.
Step-by-step explanation:
the median is just the number that falls in the center of a data set. The Mean Absolute Deviation is the distance of the data points from the mean. So, find the sum of the differences of each data point from the mean and divide it by the number of data points. Range is the difference between the smallest and largest values in a data set. The interquartile range is the middle of the data. it is a measure of how widely the middle half of the data is spread around the median.
Answer:
the median is 6, range is 10, the iqr is 6 and the MAD is 1.9378698224852
Step-by-step explanation:
Range
10 - 0 = 10
IQR
median/2
6/2=3
6+3=9 6-3=3
9-3=6
Median
put numbers in ascending order
04445555555566678888899101010
find centre number
6
FInd the value of x
*giving brainliest*
Answer:
It's 8
Step-by-step explanation:
You can see that the second triangle is three times the size as the first so you divde the same side on the second triangle by 3
