We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.
We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.
So we can define the proportion of coffee that Jeremiah has in his body as:
P(t) = 1*e^{k*t}
Such that:
P(4.8 h) = 0.5 = 1*e^{k*4.8}
Then, if we apply the natural logarithm we get:
Ln(0.5) = Ln(e^{k*4.8})
Ln(0.5) = k*4.8
Ln(0.5)/4.8 = k = -0.144
Then the equation is:
P(t) = 1*e^{-0.144*t}
Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:
P(t) = 0.6 = 1*e^{-0.144*t}
Again, we use the natural logarithm:
Ln(0.6) = Ln(e^{-0.144*t})
Ln(0.6) = -0.144*t
Ln(0.6)/-0.144 = t = 3.55
So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.
If you want to learn more, you can read:
https://brainly.com/question/19599469
(03.09)
What is the equation of the quadratic graph with a focus of (3, -1) and a directrix of y
= 1? (1 point)
two - od
1
f(x) = -4 (x - 3)2 + 1
O 1
f(x) = -4 (x - 3)2
O
.
1
f(x) = 4 (x - 3)2 + 1
0
1
f(x) = 4 (x - 3)
(−2 1/5) × (−5 3/4) as a fraction
Answer:
-23 over 10
Step-by-step explanation:
Hope this helped :)
Answer:
253/20
Step-by-step explanation:
(−2 1/5) × (−5 3/4) =
1. change both mixed numerals into fractions.
= -11/5 × (-23/4)
2. Since both numbers are negative, the product is positive. Multiply both numerators together. Multiply both denominators together.
= 253/20
253 is the product of 2 prime numbers, 11 and 23. 20 is the product of 2² and 5. There are no common factors in the numerator and denominator, so this fraction cannot be reduced.
Answer: 253/20
A recipe calls for 1 1/8 cups of flower for every 3/4 cup of sugar used. How many cups of flour are needed for each cup of sugar used?
A 1 1/2
B 1 5/27
C 27/32
D 3/4
Answer: A
You could put this in a ratio of flour to sugar 9/8 : 3/4. If we need to find out how many cups of flour are required for each cup of sugar, then we’ll need to divide both sides by 3/4 to get to 1 cup of sugar so that we can find how many cups of flour are required for this amount. The flour is 9/8 cups which then gets divided by 3/4 and is 1/2 so this is our answer.
Rajni bought 2 1/2 kg onion at ₹ 30 1/2 per kg. Find the amount spent by Rajni
Step-by-step explanation:
Given that
The cost of 1 kg onions = Rs. 30 1/2
The cost of 1 kg onions = Rs. 61/2
If Rajini bought 2 1/2 kg onions then
The total cost of 2 1/2 kg onions
→ 2 1/2 ×( 61/2)
→ (5/2)×(61/2)
→ (5×61)/(2×2)
→305/4
Rs. 305/4 or Rs. 76 1/4
The cost of 2 1/2 kg onions is Rs. 76 1/4.
4 x ( 2 + 5 )^2 - 5^2
Given the two similar triangles below, which proportion is not true?
16.5 cm
12 cm
11 cm
با این
8 cm
10.5 cm
7 cm
Answer:
10.5
Step-by-step explanation:
Given the two similar triangles below, which proportion is not true?
i need help with this can ya help
8/12 = 7/10.5 11/7 = 16.5/127/8 = 10.5/1211/16.5 = 8/12Sorry i know this isnt an answer.
Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour?
Answer: 41 miles
Step-by-step explanation:
Answer:
41 miles
Step-by-step explanation:
41 miles in a hour rate.
what are the correct answers whoever answers it correctly gets brainlist
Answer:
So the answer is... Hold on... Ok i did my research and the answer is........
Step-by-step explanation:
1. Economic
The Industrial Revolution stimulated the hunt for colonies. First, colonies provided raw
materials. Second, colonies served as a market for surplus manufactured goods.
2. Political
Every country wanted national hegemony – that is, to be the No. 1 imperialist country in the
world. To achieve this, they wanted to control as much of the world as
possible. The nation’s greatness is measured by the quality and quantity
of its colonies. Folks wanted to plant the flag in as many places as
possible. Every country wanted recognition as a world power. They
wanted to improve their reputation among other European countries.
They wanted to increase their political power and prestige. Every country
was in competition with its rivals. You took territory – simply to prevent
your rival from getting it!
3. Military
Every imperialist country was worried about its own national security: The competition
among imperialist powers was vicious. One had to protect one’s own
country and its colonies. Every country wanted to gain military
advantage over its rivals. A colony could serve as a fueling station for
the Navy. A ship could stop and load up on supplies. Some spots in the
world, especially waterways, were strategically important. The Navy
was paramount: It must have freedom to travel to and from the
colonies.
4. Cultural
Social Darwinism was the prevailing belief in Europe. It explained why some countries were
rich and some were poor. People compete for survival. The strong survive.
The rich were naturally superior. The weak were unfit. Poverty was a sign of
being unfit. The poor were naturally inferior. The European colonizers were
the Superior Races. The African and Asian colonized were Inferior Races. The
Europeans regarded themselves as racially and culturally superior to the people
of Africa and Asia. Humanitarians argued that it was Europe’s noble duty to
uplift and enlighten the backward peoples. Belief in Anglo-Saxon superiority
was prevalent.
5. Religious
The “missionary impulse”: Christianity is superior to all other religions. We must
spread Christianity to Asia and Africa. Religion encouraged imperialism. People
felt they needed to acquire territory in order to Christianize people. A serious
moral issue – Christianity is in direct conflict with Social Darwinism. Under
Christianity, all people are equal in God’s eyes. Under Social Darwinism, the
Europeans are superior and the Africans and Asians are inferior. There was also a
certain element of hypocrisy: While the Europeans spoke of uplifting people, they
were actually motivated by profit and greed.
The profits in hundreds of dollars, Pc), that a company can make from a product is modeled by a function of the price, c,
they charge for the product: P(c) = -20c2 + 320C + 5,120. What is the maximum profit the company can make from the
product?
$540,000
$640,000
$800,000
$896,000
If a cooler contains six cola, two grape, two orange, and four lemon-lime sodas, what is the probability of selecting a cola, giving it to your friend, then selecting another cola for yourself?
Answer:
ok so first of all there is 14 sodas in the cooler(6+2+2+4)
and 6 of these 14 are cola 6/14 or 3/7
so 3/7 then to give your self one we multiple it by 3/7
3/7*3/7=0.18367346938
we multiple by 10
18.367346938
so the probility is 18.37%
Hope This Helps!!!
A 300 m long wire is used to fence a rectangular plot whose length is twice it’s width. Find the length and breadth of the plot.
the length of a rectangle is 3 more than 3 times it’s width. the perimeter of the rectangle is 174 inches. what is the length of the rectangle?
Answer:
66 anches beacause i don't know
Step-by-step explanation:
2. What is the largest composite number less than 40?
Answer:
39
Step-by-step explanation:
39
Step-by-step explanation:
13 × 3 = 39
The largest composite number less than 40 is 39
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
What is the meaning of the point shown on this graph?
Mysha’s Height
A: Mysha was 12 inches tall at age 2 1/2 years
B. Mysha was 30 inches tall at age 1 year
C: Mysha was 12 inches tall at the ago 30 months
D: Mysha was 30 inches tall at age 12 years
A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
Answer:
D ÷3/5 that's the answer i think I worked it out myself
Do the following tasks by the help of STATA software. You need to devote first 30 minutes of your time for these tasks.
a) Use auto.dta which is an example dataset for this question.
The study claims that average price of foreign cars is more than average price of domestic cars. Check validity of this claim by using dataset. Explain and mention all steps that are necessary for decision. (4 points)
b) Use nlsw88.dta. Find the standard deviation, the mean and the number of observation of age variable (age) for the people who work less than 32 hours (hours variable) or wage is greater than 10. (4 points)
c) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. Find the standard deviation, the mean and the number of observation of safewater variable (safewater) for the countries with GNP variable (gnppc) greater than 5000 and life expectancy (lexp) is greater than 55. (4 points)
d) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. We have 6 different variables in this dataset. Which variable has string values? Which STATA command is used in order to find the string values in dataset? What are the effects of large amount of string values in dataset?
what is the equation of the line in the slope-intercept? write your answer in simplest form.
Answer:
y=-6x
Step-by-step explanation:
Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x
Is this statement true or false:
a - b = b - a
True
False
Answer:
False
Step-by-step explanation:
positive A and negative B does not equal positive B and negative A
Answer:
FALSE
Step-by-step explanation:
you make 12 equal payments your total is 1308 how much is each payment
Answer:
109 is the correct answer
What is 3 4/5÷(−1 1/10)?
Write the answer as a mixed number in simplest form.
6 + 2f = 8
f =
what the awnser i need help
Answer
f= 1
step by step explanation
geomtry plz help 15 points
Answer:
m∠A=88°
Step-by-step explanation:
∠ABC=∠ACB=46° (base angles of isos triangle)
∠BAC=180°-46°-46° (angle sum of triangle)
=88°
Pls help me if i got to fimd the quotient and it is due pls help if I got any of them wrong ple put it in the answer NO LINK YA SCAMMERS I don't even have anything for yall to steal from me
Answer:
4.75 divided by 5 =0.95
Step-by-step explanation:
A tin of paint costs £4.87. Helen buys 19 tins of paint. Work out an estimate for the total cost.
Answer:
100 Estimate
Step-by-step explanation:
Closest To 4.87 Is 5
Then 19 Is close to 20
So, then 5*20=100.
A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.
Answer:
75 percent
Step-by-step explanation:
see the thing is
The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.
Number of ways to choose 5 sedimentary from 7 sedimentary is,
[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]
There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,
[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]
Thus, the probability that exactly 5 are sedimentary is,
[tex]P=\dfrac{21}{33649}[/tex]
Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.
Learn more about the combination here;
https://brainly.com/question/17139330
#SPJ2
Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.
How much does Evan's dog weigh?
Answer:
the answer is expkained below
Answer:
Evans dog would weigh 39 pounds
Step-by-step explanation:
117= 3 × X
Take 117 and divide it by 3 and the answer we would get is 39
117 ÷ 3 = 39
To double check the answer we could multiply 39 by 3 to see if we 117.
39 × 3 = 117
X= 39 pounds, so Evans dog is 39 pounds
55. H(x) = – 3x² + 6x
=
Answer:
Well this is a function/ quadratic question.
So using this info we can make this into a standard form for quadratics which is
ax^2+bx+c=0
In this case c is 0 and we cna just make everything else equal to zero so.
-3x^2+6x=0
Now with this we can use the quadratic formula
-b±√(b²-4ac)/(2a)
So pluggin everything in
X=-6±√(6²-4(-3)0)/(2(-3))
Now we solve
36/-6
or -6
Now we just do
-6±-6
x= -12
x= 0
These are your answers
x=-12
x=0
Find two solutions of y=2x-3
Point 1: (x,y) --->
Point 2: (x,y) --->
The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.
Point 1: (0,-3)
Point 2: (1,-1)
g(x) = x² – 3x
h(x)=x+ 5
Find (g- h)(x)
Answer:
g(x+5)=x2+7x+10
Step-by-step explanation: