Answer: x ≤ 5
Step-by-step explanation:
The half-life of carbon 14 is 5, 730 years. How much would be left of an original 50-
gram sample after 2, 292 years?
Given :
The half-life of carbon 14 is 5,730 years.
To Find :
How much would be left of an original 50- gram sample after 2, 292 years.
Solution :
We know, rate law for first order reaction is given by :
[tex][A] = [A_o]e^{-kt}[/tex] ...1)
Here, [tex]A_o[/tex] is initial amount and [tex]A[/tex] is final amount.
And [tex]k = \dfrac{ln\ 2}{t_{0.5}}[/tex]
Putting value of half time in above equation, we get :
[tex]k = \dfrac{ln\ 2}{5730}\\\\k = 1.21\times10^{-4} \ /s[/tex]
Putting value of k in equation 1) , we get :
[tex][A] = 50\times e^{-1.21\times 10^{-4}\times 2292} = 37.89\ gm\\\\[/tex]
Hence, this is the required solution.
Answer: i have zero clue lol
7(p+q+9) pleaseee answer I need it done by today
Answer:
7p+7q+63
hope it helps.
11
Which correctly explains how to use place value and the distributive property to find the product of 742 and
Answer:
6678
Step-by-step explanation:
742 = 700+40+2
(700+40+2)*9 = 700*9+40*9+2*9 = 6300+360+18 = 6678
Answer:
D Write 742 as 700 + 40 + 2. Multiply each addend by 9. Then add the three products to get 6,678.
Step-by-step explanation:
I did the math >:3
sorry if it's wrong
From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
[tex]n = 26.8(0.85)^t[/tex]
Solving (a): The decay factor
An exponential function has the form
[tex]y = ab^x[/tex]
Where b is:
[tex]b = decay\ factor\ or\ growth\ factor[/tex]
By comparison:
[tex]b = 0.85[/tex]
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
[tex]P = 1 - b[/tex]
Substitute 0.85 for b
[tex]P = 1 - 0.85[/tex]
[tex]P = 0.15[/tex]
Convert to percentage
[tex]P = 0.15*100\%[/tex]
[tex]P = 15\%[/tex]
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]
[tex]n = 26.8(0.85)^2[/tex]
[tex]n = 26.8*0.7225[/tex]
[tex]n = 19.363[/tex]
Henry Uploaded the photos birthday to a cloud storage system. He feels that it's a safe option for data storage. His friend suggested that there Maybe a disadvantage to cloud storage. Which disadvantage is Henry's friend referring to?
Answer:
Henry's friend referring to the disadvantage of Privacy.
Step-by-step explanation:
The main disadvantage of cloud storage is:
Your data is no longer in your physical storage while you are using a cloud service. So, who is responsible for ensuring that information is secure? This is a grey field which is still being worked out.
So, Henry's friend referring to the disadvantage of Privacy.
Answer:
E. The data is not under the owner’s direct control.
Step-by-step explanation:
took the test and got it right :)
Work out the area of a rectangle with base,
b
= 15mm and height,
h
= 12mm
Answer:
15x12=180mm
Step-by-step explanation:
Hi, im not sure on this wording, any help is appriciated.
Answer:
The second terms isn't in the type factory
Step-by-step explanation:
Solve for x
54 = 9(x+3)
Answer:
x=3
Step-by-step explanation:
54=9(x+3)
54=9x+27
27=9x
3=x
hope this helps! let me know if you have any questions abt how i solved
Help me pleaseeeeeeeee
What could it mean to say there is a 100% decrease
in a quantity? Give an example of a quantity where this
makes sense.
URGENT PLEASE!!!
Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
What is the median of the distribution?
3
3.5
4
4.2
Answer:
C:4
Step-by-step explanation:
please help and please explain
Answer:
D
Step-by-step explanation:
Quadrant II is the top right corner. Both of the values are positive there so the only correct answer is D.
Hope this helps!
What is 8 less than x.
Write the expression that represents this phrase
Answer:
so it is because it has
Step-by-step explanation:
a good explanation
help me with the question in the image please help me out :)
Step-by-step explanation:
(7 + x) / 3 = 2x - 5
7 + x = 3(2x - 5) (multiply 3 on both sides)
7 + x = 6x - 15 (distributive property)
5x = 22 (arrange like terms)
x = 4.4 (divide 5 on both sides)
I need help with this
Answer:
the second one, third one
Step-by-step explanation:
you can expand using the distributive property
The vertices of a triangle are (3,5), (-7,4) and (10,-2) then, what are the coordinates of the point of intersection of 3 medians of triangle?
Answer:
Step-by-step explanation:
Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.
The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points
8. Determine the symbolic representation of g(x). Express your answer in
slope intercept form. *
Answer:
[tex]g(x)=5x+21[/tex]
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
[tex]g(x)-1=5(x+4)[/tex]
Rearranging for slope intercept form:
[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]
rewrite in simplest terms −6(−0.8w−0.8)+3(−0.9w−0.3)
Answer:
2.1w + 3.9
Step-by-step explanation:
Do you like my drawing
Answer:
yes!!!
Step-by-step explanation:
Answer: yes I like it
Step-by-step explanation:
What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?
Answer:
associative property
Step-by-step explanation:
Write x^2-8x+22 in the form (x-a)^2 +b
Answer:
[tex] {(x - 4)}^{2} + 6[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]
The completed square form of x² - 8x + 22 = 0 is (x - 4)² = - 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, a quadratic equation x² - 8x + 22 = 0.
We know (a - b)² = a² - 2ab + b².
∴ x² - 8x + 22 = 0 is
(x)² -2(x)(4) + 4² + 6 = 0.
(x - 4)² = - 6.
learn more about quadrilaterals here :
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A student examines the triangle shown above. He notices that lines BE andCD look parallel. The student claims that they are parallel by look aLone ?
Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.
If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?
A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.
Answer:
Aiden should expect a multiple of 2 to be rolled 150 times.
Step-by-step explanation:
300 can be divided evenly 2 times.
5 minus negative 6 minus one equal 9
im stuck on this question i need help
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
Answer:D is the answer
Step-by-step explanation:
OH MY GOD HELPPPPPPPPPPPPPP
Answer:
? = -36
Step-by-step explanation:
When you raise an exponent to an exponent, the resulting power is a product of the two exponents.
For this problem, you can solve for the missing value by writing:
[tex]?*1/3=-12[/tex]
Divide both sides by 1/3 to isolate the missing value.
[tex]?=\frac{-12}{1/3}[/tex]
Solve for ?.
[tex]?=-36[/tex]
True or False, The value pi/12 is a solution for the equation 4 cos^2(4x)-3=0
Please explain
Answer:
Yes, π/12 is a solution.
Step-by-step explanation:
Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 . Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.
The statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]
We need to check whether [tex]\frac{\pi}{12}[/tex] is a solution for the equation.
Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]
[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]
This means, [tex]\frac{\pi}{12}[/tex] is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]
Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
Learn more about the equation here:
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Find the product (x^2-2x-4)(x^2-3x-5)
At a bookstore, you buy a calendar for $5 and some books for $3 each. You spend a total of $26. How many
books do you buy? Use the following equation to find the number of books b bought; 3b+5=26