Situation:
A hiker in Africa discovers a skull that
contains 79% of its original amount of C-
14.
N = Noe
kt
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
find the age of the skull to the nearest year
Answer:
about 2357 years
Step-by-step explanation:
You want to find t such that ...
0.79 = e^(-.0001t)
Taking natural logs, we get ...
ln(0.79) = 0.0001t
ln(0.79)/-0.0001 = t = 2357 . . . years
Answer:
See image
Step-by-step explanation:
What is the solution for the equation x2+4=3x+8
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+4=3x+8
Step 1: Subtract 3x+8 from both sides.
x2+4−(3x+8)=3x+8−(3x+8)
x2−3x−4=0
Step 2: Factor left side of equation.
(x+1)(x−4)=0
Step 3: Set factors equal to 0.
x+1=0 or x−4=0
x=−1 or x=4
Answer:
x=−1 or x=4
need math help please!!
Answer:
8
Step-by-step explanation:
The fact that DE is perpendicular to AC means triangles AED and CED are congruent and side AD is equal in length to side CD.
5x -20 = 2x +4
3x = 24 . . . . . . . add 20-2x
x = 8 . . . . . . . . . .divide by 3
The value of x is 8.
A long year-end status report for work is 144 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.54 each.
Give your answer to the nearest cent, only for the paper you use (partial reams are OK)
Submit Question
Answer: The paper going to cost $16.31 for those reports.
Step-by-step explanation:
Given, the length of a long year-end status report for work = 144
If we ned to print 16 copies for a meeting next week, the total number of pages required = 16 *144
= 2304
Since, the paper is sold in reams of 500 pages = $3.54
Then, cost of one page = (Cost of a ream of 500 pages) ÷ 500
= $3.54 ÷ 500
= $ 0.00708
Cost of total number of pages required = 2304x (cost of one page)
= 2304 x ($ 0.00708)
= $ 16.31232 ≈ $16.31
Hence, the paper going to cost $16.31 for those reports.
What is 35% of 280?
Answer:
98
Step-by-step explanation:
Multiply.38*280
Answer:
98
Step-by-step explanation:
To find the answer I multiplied 280 by 0.35, that is how you can quickly find a percentage. For example if you would like to find what is 7% of 280 you can just multiply it by 0.07.
A show has 4,320,000 viewers for it's season premiere express this number using scientific notation
Answer:
4.32 × 10^6= 4.32 × 10^6
(scientific notation)
= 4.32e6
(scientific e notation)
= 4.32 × 10^6
(engineering notation)
(million; prefix mega- (M))
= 4320000
(real number)
Hence number using scientific notation is 4.32*[tex]10^{6}[/tex]
What is scientific notations?When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation. 650,000,000, for example, can be expressed as 6.5 108 in scientific notation. Sal Khan and the CK-12 Foundation collaborated on this project.
How to solve?Given 4,320,000 which can be broken in 432*10000
Which can be written as 432*[tex]10^{4}[/tex]
432 can be written as 4.32*100*[tex]10^{4}[/tex]=4.32*[tex]10^{6}[/tex]
Hence number using scientific notation is 4.32*[tex]10^{6}[/tex]
Learn more about scientific notationhttps://brainly.com/question/1767229
#SPJ2
Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below.
Jeremiah: The y-intercept is at (15, 0).
Lindsay: The x-intercepts are at (–3, 0) and (5, 0).
Stephen: The vertex is at (–4, –1).
Alexis: The midpoint between the x-intercepts is at (4, 0).
Which student’s claim about the function is correct?
Answer:Stephen
Step-by-step explanation:Just did it on edge
Answer:
Steve
Step-by-step explanation:
What is the area of a circle with a radius of 6 inches?
9 min.2
12 x in 2
36 x in 2
817 in.2
solve 4 1/2 + 1 3/5.
Answer:
the answer is 6 1/10
Step-by-step explanation:
a.
Does there appear to be a linear trend between the temperature, t and the soft drink sales, g? Is there an exact linear fit?
No, there does not appear to be a linear trend.
b. No, there does not appear to be a linear trend; the fit is not exact
Yes, there appears to be a linear trend and the fit is exact.
d. Yes, there appears to be a linear trend, but the fit is not exact.
C.
Answer:
d. Yes, there appears to be a linear trend, but the fit is not exact.
Step-by-step explanation:
100 POINTS PLEASE ANSWER IM BEGGING YOU!!!
Answer:
A (1/7)
Step-by-step explanation:The square root goes into 1 and 49 turning them into 1 and 7, which means it's a real number and u get A.
Answer:
1/7
Step-by-step explanation:
If you multiply 1/7 by 1/7 you get 1/49. That is why it is the square root.
Max and Leah each have a lemonade stand . Max sold 12 glasses the first hour and 10 glasses each hour after that . Leah sold 8 glasses the first hour and 10 glasses each hour after that . How many glasses will each person have sold after 5 hours?
Answer:
120
Step-by-step explanation:
How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 60 tissues during a cold. Suppose a random sample of 10 comma 000 people yielded the following data on the number of tissues used during a cold: x overbar equals 53 comma s equals 23. We want to test the alternative hypothesis Upper H Subscript a: muless than60. State the correct rejection region for alpha equals 0.05 .
Answer:
Null hypothesis: [tex] \mu \geq 60[/tex]
Alternative hypothesis: [tex] \mu <60[/tex]
Since the sample size is large enough we can assume that the distribution for the statistic is normal so then in order to find the critical value for this test taking in count the significance level given of 0.05 we need to look in the normal standard distribution a value who accumulates 0.05 of the area in the left and would be:
[tex] z_{crit}= -1.64[/tex]
Step-by-step explanation:
For this case we have the following data given:
[tex] \bar X = 53[/tex] represent the sample mean
[tex] s = 23[/tex] represent the sample deviation
[tex]n = 10000[/tex] represent the sample size.
We want to test for this case if the true mean is less than 60 so then the system of hypothesis are:
Null hypothesis: [tex] \mu \geq 60[/tex]
Alternative hypothesis: [tex] \mu <60[/tex]
Since the sample size is large enough we can assume that the distribution for the statistic is normal so then in order to find the critical value for this test taking in count the significance level given of 0.05 we need to look in the normal standard distribution a value who accumulates 0.05 of the area in the left and would be:
[tex] z_{crit}= -1.64[/tex]
How many solutions does the following equation have ?
-4x - 7+ 103 = -7 +63
Choose 1 answer:
No solutions
B
Exactly one solution
Infinitely many solutions
Answer:
Exactly one solution
Step-by-step explanation:
Any linear equation in one variable has exactly one solution.
__
Here, it appears to be x=10.
At a sale this week, a sofa is being sold for $153.60 .This is a 76% discount from the original price. What is the original price?
Answer:
$21473.33
Step-by-step explanation:
Let the original price be x
76% discount gives $153.60
This means 24/100 * x = $153.60
X= 153.60 * 100 /24 = $21473.33
The original price of the sofa is $21473.33.
What is discounted price?Discount is the difference in price between the selling price of an object and the price listed on the object marked price.
Given that, a sofa is being sold for $153.60, which was on the 76% discount.
Let the original price be x,
x - 76% of x = $153.60,
⇒ 24/100 · x = $153.60
⇒ x = 153.60 · 100 /24 = $21473.33
Hence, the original price of the sofa is $21473.33.
Learn more about discounted price, click;
https://brainly.com/question/19867145
#SPJ2
Saskatchewan Widgets and Manitoba Widgets are two companies that were founded at the same time. Saskatchewan Widgets started 101010 million dollars in debt, and they make a constant yearly profit. After 555 years, they were 666 million dollars in debt. The graph of the balance (in millions of dollars) of Manitoba Widgets as a function of time (in years) is shown below. Which company started with a greater balance?
Answer:
1.B
2.A
Step-by-step explanation:
Answer:
The answer is
1 B
2 A
Step-by-step explanation:
I did it on khan academy :)
Solve the system of equations by elimination.
2x + 2y = -2
3x - 2y = 12
Answer:
Step-by-step explanation:
2x + 2y = -2
3x - 2y = 12
5x = 10
x = 2
2(2) + 2y = -2
4 + 2y = -2
2y = -6
y = -3
(2, -3)
Simplify i^15. (imaginary numbers to the 15th power)
Answer:
Its -i on edge
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Answer:
In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.
=> Two right triangles PNT and PRT are congruent.
=> angle PRT = angle PNT = 34 deg
=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg
=> Option A is correct.
Hope this helps!
:)
Help please?????????????
Answer:
1 gal 9 qt
Step-by-step explanation:
Answer:
1.75 US Gallons
Step-by-step explanation:
(3 gal 2 qt) - (1 gal 3 qt) =
1.75 US gallons
In the ordered pair (4,3) Does the 3 indicate how far to travel on the x -axis from the origin.
Answer:
No
Step-by-step explanation:
4 indicates how far to travel on the x-axis while 3 indicates how far to travel in the y-axis
A pyramid has a square base and a height of 6 ft. The volume of the pyramid is 162 ft^3. Let s be the length of a side of the pyramid's base.
A) In terms of s, the area of the base is ____________ .
B) The formula for the volume of a pyramid gives the equation ___________.
C) Solving this equation shows that s = __________
Answer:
[tex](a)s^2\\(b)162=2s^2\\(c)s=9$ ft[/tex]
Step-by-step explanation:
(a)Base Area
Side length of square base=s
Area of a Square of side length s=[tex]s^2$ ft^2[/tex]
(b)
Height =6 ftVolume=[tex]162 $ ft^3.[/tex]Volume of a Pyramid[tex]=\frac{1}{3}X$Base Area X Height[/tex]
Substituting the given values, we have:
[tex]162=\frac{1}{3}Xs^2 X 6\\\\162=2s^2[/tex]
(c)Solving the equation derived from (b)
[tex]162=2s^2\\$Divide both sides by 2\\s^2=81\\s^2=9^2\\s=9$ ft[/tex]
Solving this equation shows that s =9 ft.
choose a number between 67 and 133 that is a multiple of 2,8 and 16 .
Answer:
80
Step-by-step explanation:
Since 2 and 8 are factors of 16, you only need to find a multiple of 16 in between 67 and 133 which is simple. I chose 80.
Answer:
128
Step-by-step explanation:
It's asking you to find a number between 67 and 133 that you could divide by 2, 8 and 16 and won't get a remainder.
128 can be divided by 2, 8 and 16 without a remainder.
The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is selected at random. What is the probability of the complement of choosing an orange juice box? (first answer will get brainliest)
1/18
4/9
5/9
17/18
Answer:
[tex] p(O)=\frac{8}{18}=\frac{4}{9}[/tex]
And since we want the complement of choosing an orange juice box the answer would be:
[tex] P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}[/tex]
And the nest answer for this case is:
5/9
Step-by-step explanation:
For this case we know that we have 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes, so then the size of the sample space is:
[tex] 8+4+6= 18[/tex]
Then we can find the probability of selecting an orange juice box with the definition of Laplace given by:
[tex] p =\frac{possible}{total}[/tex]
And for this case the possible cases are 4 and the total 18 so then the probability is given by:
[tex] p(O)=\frac{8}{18}=\frac{4}{9}[/tex]
And since we want the complement of choosing an orange juice box the answer would be:
[tex] P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}[/tex]
And the nest answer for this case is:
5/9
Solve.
2a + 4 > 12
{ala > 2}
{ala > 4}
{ala > 8}
{ala > 10}
Answer:
b) a > 4
Step-by-step explanation:
Step(i):-
Given inequality equation
2 a + 4 > 12
subtracting ' 4' on both sides , we get
2 a + 4 -4 > 12 -4
2 a > 8
Step(ii):-
dividing '2' on both sides , we get
[tex]\frac{2a}{2} > \frac{8}{4}[/tex]
a > 4
Answer:
B
Step-by-step explanation:
Got it right
Which set of ordered pairs represents y as a function of x ?
Answer:
What Are The Options???
Step-by-step explanation:
Two bell P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring simultaneously
Answer:
This problem is same as finding the least common multiple (LCM) of 3 and 4.
3 = 3
4 = 2 x 2
=> LCM = 3 x 2^2 = 12 (3 appears once, 2 appears twice)
=> After 12 hours, two bell P and Q ring simultaneously.
Hope this helps!
:)
help me wit this pls do now
Answer:
see below
Step-by-step explanation:
If x represents the number of dimes, then 2x will represent twice the number of dimes. This is the number of quarters, since there are twice as many quarters as dimes.
There are 6 more nickels than dimes, so the number of nickels is 6 more than x. It is (x+6).
If we use the monetary values in cents, then the total of all coins is ...
25(2x) +10(x) + 5(x+6) = 485 . . . . . . matches choice D
Two lengths of a triangle are shown.
6
ft
6
ft
[Not drawn to scale]
Which could be the length of BC?
Answer:
11 ft
Step-by-step explanation:
Given the two lengths of a triangle as
AB = 6ft
AC = 6ft
This is an isosceles triangle because only 2 sides are equal.
In an isosceles triangle, the sum of 2 (sides) lengths must be greater than the other length.
Therefore, let's assume the following:
i) AC + AB > BC
6 + 6 > BC
12 > BC (BC is less than 12)
BC < 12
ii) BC + AC > AB
BC + 6 > 6
BC > 6 - 6
BC > 0
Therefore the range of values for BC =
0 < BC < 12
Since BC must be bigger than one of the lengths and it must also be less than the sum of the 2 sides. The length of BC could be 11 because it is less than (6+6) 12 and greater than 6.
Answer:11:)
Step-by-step explanation:
Defferentiate y=Insin(3x)
Use the chain rule:
[tex]y=\ln(\sin(3x))[/tex]
[tex]y'=(\ln(\sin(3x)))'[/tex]
[tex]y'=\dfrac{(\sin(3x))'}{\sin(3x)}[/tex]
[tex]y'=\dfrac{\cos(3x)(3x)'}{\sin(3x)}[/tex]
[tex]y'=\dfrac{3\cos(3x)}{\sin(3x)}[/tex]
[tex]y'=3\cot(3x)[/tex]