Answer:
The half-life for the zombie population is of 8 years.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]N(t) = N(0)(1-r)^t[/tex]
In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.
In this question:
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
Thus N(0) = 300, that is, initial population of 300.
What is the half-life for the zombie population?
This is t for which N(t) = 0.5*300 = 150. So
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]
[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]
[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]
[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]
Equal exponents, so:
[tex]\frac{t}{8} = 1[/tex]
[tex]t = 8[/tex]
The half-life for the zombie population is of 8 years.
(-1) × (-1) × (-1) × (-1) x (-1)
( - 1 )^5 = - 1
.....................
.....................
.....................
Answer:
the answer is -1 have a nice day
Write a variable expression for this amount.
M more than eighteen
Answer:
I understand what you wrote as 18 + M = y. We don't know what M and y are. They are variables. When you add M to 18, it is equal to a value y.
I hope this makes sense. This is the foundation of algebraic thinking.
Determine the equation of the circle graphed below.
9514 1404 393
Answer:
(x +1)^2 +(y -3)^2 = 4
Step-by-step explanation:
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...
(x +1)^2 +(y -3)^2 = 4
Jerome solved the equation below using the steps shown. Step 1: 3x + 6 = 18 step 2: 3x = 12 step 3: x = 4 what operation did her perform to get from step 2 to step 3
Answer:
divided both sides of the equation by 3
Step-by-step explanation:
Which product is represented by the model below
Answer:
A. 3/8*2=6/8
Step-by-step explanation:
Think about a whole number as (whole number)/1
(2/1)
Then multiply
3/8*2/1=6/8
Hope that helps!
Se desea construir un vaso de papel en forma de cono circular recto que tenga un volumen de 25πcm3
. Determine las dimensiones del vaso que requiere menos papel. Cuales deben ser si el volumen
es de 1 litro?
Answer:
Para un vaso de [tex]V = 25\pi\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 2.321\,cm[/tex] y [tex]h \approx 4.642\,cm[/tex].
Para un vaso de [tex]V = 1000\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 5.419\,cm[/tex] y [tex]h \approx 10.839\,cm[/tex].
Step-by-step explanation:
El vaso se puede modelar como un cilindro recto. El enunciado pregunta por las dimensiones del vaso tal que su área superficial ([tex]A_{s}[/tex]), en centímetros cuadrados, sea mínima para el volumen dado ([tex]V[/tex]), en centímetros cúbicos. Las ecuaciones de volumen y área superficial son, respectivamente:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r\cdot h[/tex] (2)
De (1):
[tex]h = \frac{V}{\pi\cdot r^{2}}[/tex]
En (2):
[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot \left(\frac{V}{\pi\cdot r} \right)[/tex]
[tex]A_{s} = 2\cdot \left(\pi\cdot r^{2}+V\cdot r^{-1} \right)[/tex]
Asumamos que [tex]V[/tex] es constante, la primera y segunda derivadas de la función son, respectivamente:
[tex]A'_{s} = 2\cdot (2\pi\cdot r -V\cdot r^{-2})[/tex]
[tex]A'_{s} = 4\pi\cdot r - 2\cdot V\cdot r^{-2}[/tex] (3)
[tex]A''_{s} = 4\pi + 4\cdot V \cdot r^{-3}[/tex] (4)
Si igualamos [tex]A'_{s}[/tex] a cero, entonces hallamos los siguientes puntos críticos:
[tex]4\pi\cdot r - 2\cdot V\cdot r^{-2} = 0[/tex]
[tex]4\pi\cdot r = 2\cdot V\cdot r^{-2}[/tex]
[tex]4\pi\cdot r^{3} = 2\cdot V[/tex]
[tex]r^{3} = \frac{V}{2\pi}[/tex]
[tex]r = \sqrt[3]{\frac{V}{2\pi} }[/tex] (5)
Ahora, si aplicamos este valor a (4), tenemos que:
[tex]A_{s}'' = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }[/tex]
[tex]A''_{s} = 4\pi + 8\pi[/tex]
[tex]A_{s}'' = 12\pi[/tex] (6)
De acuerdo con este resultado, el valor crítico está asociado al área superficial mínima. Ahora, la altura se calcula a partir de (5) y (1):
[tex]h = \frac{V}{\pi\cdot \left(\frac{V}{2\pi} \right)^{2/3} }[/tex]
[tex]h = \frac{2^{2/3}\cdot \pi^{2/3}\cdot V}{\pi\cdot V^{2/3}}[/tex]
[tex]h = \frac{2^{2/3}\cdot V^{1/3}}{\pi^{1/3}}[/tex]
Si [tex]V = 25\pi\,cm^{3}[/tex], entonces las dimensiones del vaso son:
[tex]r = \sqrt[3]{\frac{25\pi\,cm^{3}}{2\pi} }[/tex]
[tex]r \approx 2.321\,cm[/tex]
[tex]h = \frac{2^{2/3}\cdot (25\pi\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]
[tex]h \approx 4.642\,cm[/tex]
Un litro equivale a 1000 centímetros cúbicos, las dimensiones del vaso son:
[tex]r = \sqrt[3]{\frac{1000\,cm^{3}}{2\pi} }[/tex]
[tex]r \approx 5.419\,cm[/tex]
[tex]h = \frac{2^{2/3}\cdot (1000\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]
[tex]h \approx 10.839\,cm[/tex]
In 1994, the General Social Survey included a question that asked its participants if they felt that nuclear power plants were extremely/very dangerous to the environment. Out of the 1263 surveyed, 565 said yes. What is the value of the test statistic for this problem
Answer:
Value of the test statistic for this problem = -3.74
Step-by-step explanation:
Here
the sample size n = 1263
and the x = 565
So, the p' -value = 565/1263 = 0.4473
As per the test statistics formula, z value will be evaluated
z = (0.4473-p)/sqrt {p(1-p)/n}
Let us say that p = 0.5
Substituting the given value in above equation, we get -
z = (0.4473-0.5)/sqrt {0.5(1-0.5)/1263}
z = -3.74
The test statistic of the question is; z = -3.74
What is the test statistic?We are given;
Sample size; n = 1263
Number of people that said yes; x = 565
Sample proportion is; p'= 565/1263 = 0.4473
Formula for the test statistic of proportion is;
z = (p' - p)/(√(p(1 - p)/n)
We will assume that population proportion p = 0.5. Thus;
z = (0.4473 - 0.5)/(√(0.5(1 - 0.5)/1263)
z = -3.74
Read more about test statistic at; https://brainly.com/question/4621112
algebra 2 question need help thanks.
Ill tive brainiest pls help me
Answer:
7) 6170
8) 70000
9) 7310000
10) 0.000000054
11) 0.0067
12) 959
HELP
Which number is equivalent to 5.4 times 10 squared?
A. 0.0054
B. 0.054
C. 54
D.540
E. 5,400
Answer:
D 540
Step-by-step explanation:
5.4 * 10²
5.4 * 100
540
How many students were questioned about the approximate number of text messages they send each day? Explain or
show how you arrived at your answer.
…………………….. ……………………..
============================================================
Work Shown:
Apply the tangent ratio. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(39) = x/30
30*tan(39) = x
x = 30*tan(39)
x = 24.2935209958502
x = 24.3
Every morning Ramona misses her bus with probability 1/10, independently of other mornings. What is the probability that next week she catches her bus on Monday, Tuesday, and Thursday, but misses her bus on Wednesday and Friday
Answer:
The probability is [tex]\frac{729}{100000}[/tex].
Step-by-step explanation:
probability of missing the bus = 1/10
Probability of catching the bus = 1 - 1/10 = 9 /10
So, the required probability is
[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]
[tex]\frac{729}{100000}[/tex]
Which of the following formulas does not represent finding The height of a rectangular prism with a volume of 200 in.³, a length of 4 inches, and a with of 5 inches?
I NEEED NEED NEED HELP
Answer:
The answer for this question is 42
doctors use gallium in scanning some patients for diseases the table shows the amount of gallium in mg remaining in a patients system after t hours which exponential function best represents the data.
Step-by-step explanation:
no sn as. kojsshsusishheidhsusjjsbsbshsbsjs7ehsjsnkosvsjsishshshsjdjjddyfygyvrcudjdhdudhsjsudhdjs
Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
DIBF
Step-by-step explanation:
I'm pretty sure it's that
help please ande hank ou
Answer:
5/27
Step-by-step explanation:
678×567 765÷876 654321±7654322134566
Answer:
use a calculator
Step-by-step explanation:
hope this helps
-2x^2+6x+1=-3x^2 nearest tenth solve to the nearest tenth
In 1990, the average duration of long-distance telephone calls originating in one town was A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of The hypotheses are:
Answer:
The null hypothesis is [tex]H_0: \mu = X[/tex]
The alternate hypothesis is [tex]H_1: \mu \neq X[/tex]
Step-by-step explanation:
Mean of X in 1990, test if the mean duration has changed:
At the null hypothesis, we test if the mean duration is still X, that is:
[tex]H_0: \mu = X[/tex]
At the alternate hypothesis, we test if the mean duration has the changed, that is, if it is different of X. So
[tex]H_1: \mu \neq X[/tex]
help? (i mark brainlist)
help? (i mark brainlist)
Answer:
A.
Step-by-step explanation:
Since it says greater than, that means that it cannot be B or D. And ≥ means greater than or equal to and they don't state that in the problem. So the answer would be A.
I HOPE THIS HELPED! :)
Please help I am super confused and would really appreciate it ♥️♥️♥️♥️
x---- independent variable
f(x)--- dependent variable(can also be "y")
The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.
Ok... Lemme explain
Say you have an equation
f(x)=2x+1
let x be take value from all natural Numbers (1,2,3..….)
When x is 1
f(x) = f(1) = 2(1)+1
=3
when x is 2
f(x)=f(2) = 2(2)+1 =5.
So for every x value... There's a unique value for f(x).
You dig?
Now
let's proceed to your question.
We're already given tbe values of x and f(x)
What we now need to find is the equation that corresponds to the values being gotten
From the table
When x =1 ...….f(x)=8
When x=2 .........f(x) = 32
When x=3 ...........f(x)=128
Etc
Which equation from the options will give you these values of f(x)???
You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).
Fun right?
OK. From Observation....
OPTION A WILL DO THE JOB.
f(x)=2.4^t where "t" represents x in this case.
Input your values of x in this
You'll get the exact f(x) value
Eg
when x= 1... f(x)= 2.4¹ =8
x=2 ..….f(x) = 2. 4² = 2.16 = 32.
OPTION A IS OUR ANSWER.
HAVE A GREAT DAY BRO!
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Answer:
1/18
Step-by-step explanation:
[tex]\frac{1}{9}[/tex]÷2
make 2 a fraction
[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]
cross multiply
1*1
9*2
[tex]\frac{1*1}{9*2}[/tex]
[tex]\frac{1}{18}[/tex]
Answer:
Step-by-step explanation:
You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?
[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]
Now you have a four level question which is handled the same way as all four level question.
Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2
[tex]\frac{1}{9}*\frac{1}{2}[/tex]
What you get is 1/18 The green box with the question mark is a 1.
Help with 5+5-3 please
Step-by-step explanation:
5+5-3= 7
!!!!!!!!!!!!!!!!!
Answer:
answer is 7 please give a brainliest please
Step-by-step explanation:
Which of the following are statistical questions? Select all that apply.
A.
How many goals does a high school soccer team score in each game?
B.
How long does it take a high school student to run a mile?
C.
What is the world record for the fastest time to run 1 mile?
D.
How many runs did the Georgetown Giraffes baseball team score last night?
Answer:
I think A and B
Step-by-step explanation:
• A statistical question is a question that has more than one possible answer ( and can be answered by collecting data) where there will be variability in the data. for instance an example would be " How old are the students in this room?"
• However a non statical question has only one answer for instance "How old are you?"
both a and b dont have specific answers because it's not talking about a specific high school students or a specific soccer team. i would guess those are correct, but using the information from above you can also see what you think! hope this helps :)
What is the value of x in the equation 7(x − 2) = 5(x + 4)?
Answer: x= 17 I hope that helps you understand it Goodbye!
Step-by-step explanation:
7(x-2)=5(x+4) So the first step is to Distribute meaning Multiply so 7(x-2 ) that would give you -14 that where I got that from and I just did 5(x+4)= 20 and bring the x down
1. 7x-14=5x+20 So, I just do the opposite of subtracting which is adding so, I'm going to add 14 to both sides
2. 7x=5x+20+14 = 5x+34
3. 7x= 5x+34 So, I'm going to do the opposite of adding now which is subtracting meaning I'm just going to subtract 5x from both sides
4. 7x-5x=34 So then I do 7x-5x=2x
5. 2x= 34 so. I just Divide 2 from both sides x=34/2= 17
So, your answer would be x=17 and yes you got to put the variable for your answer to be right you can't just put 17 it got to be x= 17 and variable is just letters in the equation don't let it confused you but that would be your answer x=17 And can you make me Brainliest Please
HELPPPPPPPPPP FASTTTTTTT
Answer:
gallons: 14, 21, 28, 35
time: 2, 3, 4, 5
Step-by-step explanation:
Find the volume of this square
based pyramid.
8 cm
6 cm
[? ]cm3
Answer:
the answer would be 128cm³
Step-by-step explanation:
have a great rest of ur day
Answer:
96cm
Step-by-step explanation: