Answer:
In exponential growth, the rate of growth is proportional to the quantity present. In other words, y′=ky. Systems that exhibit exponential growth have a constant doubling time, which is given by (ln2)/k. Systems that exhibit exponential decay have a constant half-life, which is given by (ln2)/k
Step-by-step explanation:
There is your answer good luck! - Alexsys
Answer:
In some cases with exponential functions, as the value of x increases, the value of y also increases. This is a direct relationship known as exponential growth. As the value of x increases, the value of y grows rapidly. ... This is an inverse relationship known as decay.
Step-by-step explanation:
I hope this answer has helped you
Calls to a customer service center last on average 1.4 minutes with a standard deviation of 1.7 minutes. An operator in the call center is required to answer 52 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answer:
the expected total amount of time in minutes is 88.4
Step-by-step explanation:
The computation of the expected total amount of time in minutes is given below:
= Standard deviation × needed to answer calls each day
= 1.7 × 52
= 88.4
hence, the expected total amount of time in minutes is 88.4
Extreme Temperatures. The hottest temperature ever recorded in the United States was 134?F, which occurred at Greenland Ranch, California, in Death Valley on July 10, 1913. The coldest temperature ever recorded in the United States was -80?F, which occurred at Prospect Creek Camp, Alaska, in the Endicott Mountains on January 23, 1971. Determine the difference between these two temperatures.
Answer:
214
Step-by-step explanation:
An artist is using right triangles in her design. If all the
triangles have an angle measure of 30°, what is the
measure of the third angle?
A) 150
B) 50
C) 60
D) 120
a stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick
Find the scale factor of the height:
6.5cm / 2.5cm = 2.6
Multiply the known pages by the scale factor:
150 x 2.6 = 390 pieces of paper.
Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *
Answer:
24 dollars
Step-by-step explanation:
each pound is $1.60 and 15 times $1.60 equals 24
Answer:
$24
Step-by-step explanation:
5/8=15/x
cross product
8*15=5*x
120=5x
x=120/5
x=24
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
PLZZZZ ASAPPPP
Answer:
15 feet
Step-by-step explanation:
if the dog run is a rectangles then the formula for the perimeter is 2h+2l
if we plug in the numbers we know we get this:
2h+2(5)=40
2h+10=40
2h=30
h=15
Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
See attachment to get your answer. Thanks.
When the football play started,
Tony ran forward 20 yards,
then turned around and ran 5 yards back.
He stood in that spot for 3 seconds,
then walked back to where he began.
Need help :C
A bakery in Hong Kong regularly orders carton of cranberries from Australia. The net weight (in ounces) of
cranberries of a random sample of 20 cartons were as follow:
160 170 170 190 210 240 240 240 270 280
290 290 300 420 500 520 530 610 630 650
(c) The bakery orders the cranberries from Australia with currency exchange rate of AUD 1 to HKD 5.8.
For each ounce of Australia cranberries costs AUD 2 and the fixed shipping fee of each carton is HKD
80. Find the mean, standard deviation, range, and third quartile of the payment (in HKD) of ordering a
carton of cranberries from Australia to Hong Kong.
Answer:
i) Mean = 1933.1817
ii) Range = 5684
iii) Third quartile = 6054
Step-by-step explanation:
Given data :
currency exchange rate : 1 AUD = 5.8 HKD
cost of each ounce = 2 AUD
Fixed shipping cost for each carton = 80 HKD
number of cartons = 20
next determine the total cost of the 20 cartons in HKD
= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost
= ∑ ( 160*2*5.8 + 80 ) + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )
= 81756 HKD
i) find the mean value ( X )
= Total cost / number of cartons
= 81756 / 20 = 4087.8
ii) Find the standard deviation
= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex] note: std = √∑(xi-X )^2 / (n-1)
= 1933.1817
iii) Find the range
Range = highest cost - lowest cost ( values gotten from equation 1 )
= 7650 - 1936
= 5684
iv) Determine the third quartile
third quartile = 6054
attached below is the detailed solution
Someone help me please
Answer:
1440°
Step-by-step explanation:
the formula used for this is (n-2)×180° where n=# of sides in the polygon
The square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14. What are the new dimensions of the pool?
[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]
[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]
The new dimensions of the pool are; Width = 9 and Length = 20.
What is rectangular figure?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.
[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]
The root of the expression;
[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]
The dimensions are;
Width = 3 + s = 9
Length = 14 + s = 20
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Find the measure of 46.
t
56°/1249
46
te
s6 = [?]
Answer:
56°
Step-by-step explanation:
1st reason= alternate angles.
2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.
180-124=56
Ryan wrote a number on his paper. His number rounds to 350 when rounded to the nearest ten. His number rounds to 300 when rounded to the nearest hundred. Enter a number that Ryan could have written.
Answer
342 is one
Step-by-step explanation:
Using the formula for the difference of squares, calculate: (100 - 3)
(100 + 3).
Answer:
97
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanations are below
Step 1
(100-3) Observe the equation
Step 2
(100-3) Simplify
100-(+3)
100-3
Answer: 97
One number is 7more than twice the other number. If the sum of the two numbers is 25, find the two numbers.
Answer:
6 and 19
Step-by-step explanation:
x+2x+7=25
3x=18
x=6
the other number is 19
a² + b² = c²
a = x
b = x
c = 9√2
please help me find the value of x, asap!
Answer:
x = 9
Step-by-step explanation:
According to Pythagoras theorem a² + b² = c²
Given that
a = x
b = x
c = 9√2
Substitute'
x² + x² = (9√2)²
2x² = 81 * 2
x² = 81
x = √81
x = 9
Hence the value of x is 9
PLEASEEE HELPPP members of a middle school Business Club want to raise money to attend a conference for young entrepreneurs so far the club has raised $450. members suggest a few new ideas. Jenna suggest that the club hold a carwash the Club will need to spend $30 on cleaning supplies before making a profit jenna presents her plan to the club using the table below make a graph of the data to show the relation
*please provide a graph
Part B: is the relation a function if so write an equation for the function
Answer:
Number of cars 16 profit-30
The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
Evaluate and simplify the expression when r=2 and s=3
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart
9 ft. 15 ft The volume of the figure is cubic feet. 15 ft. 15 ft
Answer:
4,050 cubic feet
Step-by-step explanation:
The figure is made up of a square pyramid and cube
Therefore:
Volume of the figure = volume of the square pyramid + volume of the cube
✔️Volume of the square pyramid = ⅓*a²h
a = 15 ft
h = 9 ft
Volume of square pyramid = ⅓*15²*9 = 675 ft³
✔️Volume of the cube = s³
s = 15 ft
Volume of the cube = 15³ = 3,375 ft³
✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet
Find the slope of the line that passes through (2, 5) and (9, 1). Simplify.
Answer:
-4/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-5)/(9-2)
m=-4/7
5 + 2x = 13
Solve for x
Can someone help with this?!
Answer:
-12r + 8s
Explanation:
Since there is a subtraction sign in front of 16r, to combine it with 4r, it must be subtracted, resulting in -12 r (to subtract a greater number from a smaller number, subtract the smaller number from the greater number and make it negative). Since there is an addition sign in front of 3s, to combine it with 5s, the two must be added. 5s + 3s = 8s. When combined, the result is -12r + 8s.
At a baseball game, 87% of people attending were supporting the home team, while
13% were supporting the visiting team. If the total number of people attending the
game was 4400, how many people attending were supporters of the home team?
Answer:
3828 people
Step-by-step explanation:
Dario buys applesauce cups for a family reunion. He needs
23 cups, and he buys them in packs of 6. How many packs does
Dario need?
Answer:
4
Step-by-step explanation:
he will have extra but its better then having nothing , and only extra by 1
Answer: 4 packs
Step-by-step explanation: Dario need to buy 4 packs and get
4 ·6=24 cups
Ashley has 4 pairs of low-top sneakers, 7 pairs of high-top sneakers, 3 pairs of sandals, and 1 pair of boots. What is the ratio of the pairs of low-top sneakers to the total number of pairs of shoes
The ratio is 4:15
what is ratio?A ratio indicates how many times one number contains another.
Given:
low-top sneakers= 4
high-top sneakers= 7
sandals= 3
boots = 1
Total shoes= 15
Now,
low- top sneakers : totals shoes
=4:15
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Help me with number
4,5,6,7
Answer
number
4.D
5.B
6.C
7.BHopes this helpZaiyara had a long strip of ribbon for making crafts. The strip of ribbon had a length of 12.21 inches. Zaiyara needed to cut it into 3 equal pieces. How long would each piece be?
A:9.21 inches
B:6.02 inches
C:15.21 inches
D:4.07 inches
Plss need the answer will mark brain least if correct!
Answer:
D
Step-by-step explanation:
please solve f(x)=2x+3
Answer:
-3÷2
Step-by-step explanation:
if you have solving for x
1st step: will be to set up the function =0
so 2x+3=0
then 2x=-3
so x= -3/2