Answer:
The approximate age of the bone is approximately 11552 years.
Step-by-step explanation:
The current proportion of carbon-14 with respect to its original amount is defined by following formula:
[tex]\frac{y}{a} = e^{-0.00012\cdot t}[/tex] (1)
Where:
[tex]y[/tex] - Current amount of carbon-14, no unit.
[tex]a[/tex] - Initial amount of carbon-14, no unit.
[tex]t[/tex] - Time, in years.
If we know that [tex]\frac{y}{a} = 0.25[/tex], then the approximate age of the bone is:
[tex]t = -8333.333\cdot \ln \frac{y}{a}[/tex]
[tex]t\approx 11552.453\,yr[/tex]
The approximate age of the bone is approximately 11552 years.
Find the unit rate for each, then compare. Which is faster?
8 laps in 70 seconds
12 laps in 98 seconds.
Answer:
8 laps in 70 seconds is faster.
Step-by-step explanation:
If we divide 70/8 and 98/12 we get the following:
70/8= 8.75
98/12=8.16
8.75>8.16
The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds
(a-1)+(b+3)i = 5+8i
please answer me quickly i need it please
Answer:
a = 6, b = 5
Step-by-step explanation:
Assuming you require to find the values of a and b
Given
(a - 1) + (b + 3)i = 5 + 8i
Equate the real and imaginary parts on both sides , that is
a - 1 = 5 ( add 1 to both sides )
a = 6
and
b + 3 = 8 ( subtract 3 from both sides )
b = 5
which helps yhu find the total number of flowers
Answer:
what do you mean? is there another part of the problem?
Step-by-step explanation:
help ASAP ill mark brainliest
Answer:
16.1, 16, 16
Step-by-step explanation:
1) we are going to do the mean :)
you add all the number together and divide by the same number
you should get 354/22 which is 16.0909....... since its round to tenth place, we place it at 16.1.
2) median, for this one, you have to lay out the numbers and see which one is in the middle, in 14,15,16,17,19, 16 is the median.
3) the number that appear the most is the mode, so right now we have
three 17s and six 16s, don't worry about the others because its not in the answer choice, so its 16.
Hope this helps :D
Explain, using an example, why you need to multiply when converting from a larger unit to a smaller unit
Answer:
This is often called scaling in math, used in ratios, fraction, percent's etc.
Step-by-step explanation:
Answer:
You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide. Here is an example..
given the rectangular coordinates (-8,15), which of the following polar coordinate pairs represents the same point in radians?
a(17,2.65)
b(-17,-1.08)
c(12.7,2.65)
d(-12.7,-0.49)
Answer:
1. (x,y)=
2. (3, 480°), (3,-240°), (-3, -60°)
3. (-17, -1.08)
4. on the second circle from the center and 153° clockwise from the horizontal axis
Step-by-step explanation:
took quiz...100%
Fill in the blank. -6_-1*
>
<
=
Answer:
<
Step-by-step explanation:
-6 is lower than -1. you can make a little line and count backwards from 0. -1 is closer to 0 than -6 is, therefore -1 being bigger and the sign being <
At a hospital emergency room, a doctor has determined that for every 14
patients injured in a car accident, 6 were not wearing seat belts.
6 no seat belts
14 injured total
If the emergency room saw 420 patients injured in car accidents last
month, what is the best prediction for how many patients were not wearing
seat belts? Round to the nearest WHOLE person.
6 no seat belts = ? no seat belts
___________ ___________
14 injured total 412 injured total
Answer:
A prediction of 177 people.
Step-by-step explanation:
6x412=2472
2472/14=176.571428571
Rounded to nearest whole person=177
Please mark me as brainliest.
Juan is a teacher and takes home 618 papers to grade over the weekend. He can grade
at a rate of 6 papers per hour. How many papers would Juan have remaining to grade
after working for 7 hours?
Answer:
576
Step-by-step explanation:
6 papers an hour. 7 hours spent grading.
So 7•6 = 42
618-42
576
Hope this helps
Help ASAP Pls! 20 points!
Use a minimum of two sentences to describe the process for writing the ln(x)=5 in exponential form.
Answer:
In explanation
Step-by-step explanation:
ln(x) = 5
log (base e) x = 5
exponential form is e ^ 5 = x
you should be able to generate 2 sentences from here, hope it helps!
plz help 5x + 2 = x – 10
Answer:
x= -3
Step-by-step explanation:
5x + 2 = x - 10
4x + 2 = -10
4× = 10 - 2
4x = -12
x= -3
estimate each product 49.2×10.3
What is the value of y in the equation 4 + y=-3?
7
1
-1
-7
Answer: -7
Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)
The checkbook balance of Hercher Company is $1,955.81. The bank statement shows a balance of $3,142.11. The statement shows interest earned of $31.55 and a service charge of $22.80. There is a deposit in transit of $3,991.88. In further analyzing the statement it was discovered that the bank collected a note for $3,100.000. Hercher Co. forgot to deduct a check for $850 during the month. There is a check outstanding for $2,919.43. What is the reconciled balance?
Answer:
Reconciled balance $3,142.11
Step-by-step explanation:
The computation of the reconciled balance is shown below:
Debit balance as per check book $1,955.81
Add: interest earned $31.55
Collection of note $3,100
Outstanding checks $2,919.43
Less: service charges -$22.80
Less: deposit in transit -$3,991.88
Less: forgot a check -$850
Reconciled balance $3,142.11
The same would be relevant and considered too
Verify the equation: (sin x + cos x)(tan x + cot x) = sec x csc x
Answer:
The equation (sin(x) + cos(x))(tan(x) + cot(x)) = sec(x)csc(x) is not solvable because the two sides are not equal.
sorry this is probably easy but i need help
Answer:
Step-by-step explanation:
there is 1,000 total students... so divide 360 / 1000
so you have 0.36 for each student... then multiply by the freshmen,
.36 * 300 = 108 :)
PLEASE HELP I WILL GIVE BRANLIEST
Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.
Answer the questions to estimate the cost of printing a 300-page paperback book.
1. What is the y-intercept for the trend line? What is the real-world meaning of this point?
2. One point on the trend line is (200, 6). Using this point and the y-intercept, find the slope of the trend line. Show your work.
3. What is the real-world meaning.of the slope?
4. Use the slope and y-intercept to write an equation for the trend line in slope-intercept form.
5. Use your equation to estimate the cost of printing Sarah's 300-page book.
1. Y-intercept b=5
That means it has a 5.00 starting fee.
2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.
Point one (X1 and Y1) will be the Y-intercept.
X1,Y1 = (0, 5.00)
Point 2 (X2 and Y2) will be the point on the trend line.
X2, Y2 = (200, 6.00)
Plug in:
(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.
3. When printing 200 pages each page will cost $.005.
4. .005x+5
5. .005x+5
.005(300)+5=6.5
good luck♡♡!!
Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?
f(x) = 3(0.2)^x + 2
A. asymptote: y = -2
y-intercept: (0,5)
B. asymptote: y = 2
y-intercept: (0,5)
C. asymptote: y = 2
y-intercept: (0,4)
D. asymptote: y = -2
y-intercept: (0,3)
Answer:
B
Step-by-step explanation:
The function reaches the y-axis at the point (0,5).
The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.
The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.
Good luck ^^
The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.
What is asymptote?An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.
The equation of the function is given below.
[tex]\rm f(x) = 3(0.2)^x + 2[/tex]
The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be
[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]
Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be
y = 3(0.2)⁰ + 2
y = 3 + 2
y = 5
The coordinate of the y-intercept will be (0, 5).
Then the correct option is B.
More about the asymptote link is given below.
https://brainly.com/question/17767511
#SPJ5
Can someone explain why the answer is False. Will Mark brainliest.
Answer:
Supplementary Angles are 180 degrees. A triangle has 180 degrees. One angle is already 90 degrees, so 2 more angles with 180 degrees is impossible.
Step-by-step explanation:
2 Which expressions can be used to find the volume of the rectangular prism?
3 ft
5 ft
7 ft
apply.
5
35 + 5
35 x 3
(7 + 5) x3
7+3+5
35 + 35 + 35
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
An inflatable figure is a decoration on Gabriella's lawn. A rope 42 in. long secures the top of the figure to the ground at an angle of 80°. About how tall is the figure?
round to the nearest tenth of an inch
Answer:
41.4 in
Step-by-step explanation:
(sin 80) opposite = x
hypotenuse 42
x = 42 * sin (80) = 41.4 in
ill mark brainliest, question is attached
Answer:
w=8
Step-by-step explanation:
[tex]72=7w+2w\\72=9w\\\frac{72}{9} =w\\w=8[/tex]
proof:
[tex]72=7(w)+2(w)\\72=7(8)+2(8)\\72=56+16\\72=72[/tex]
Answer:
Simplest-9w=72, w=8
Step-by-step explanation:
7w+2w=9w
72/9=8
w=8
What is the line of symmetry for the parabola whose equation is y = x2 + 10x + 25?
A-x = -5
B-x = 5
C-x = -10
Answer:
x = -5
Step-by-step explanation:
Please write this as y = x^2 + 10x + 25. Here the coefficients are {1, 10, 25}.
The equation of the axis of symmetry is x = -b/[2a], which here is
x = -10 / [2*1] = -5
Please complete the table below.
Answer:
1.is 12
2. is 36
3. is 18
4. is 4.5
Step-by-step explanation:
sorry if im wrong
Diane has $334 in her checking account. She writes a check for $112, makes a deposit of $100, and then writes another check for $98. Find the amount left in her account.
Select one:
a. $444
b. $214
c. $224
d. $86
Answer:
334 - 112 + 100 - 98
Step-by-step explanation:
Can you give me the answer to this
Answer: I think A
Step-by-step explanation:
i need help please and thank you i will give a brainliest for the correct answers so it’s more than once it say select all that apply
Answer:
I would say C or B
Step-by-step explanation:
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CAN SOMEONE HELP ME FIND THE AREA OF THE LIGHT GRAY PART WITH AN EXPLANATION :)
(IF YOU WANT ME TO GO TO A LINK I'M NOT, SO YOUR ANSWER WILL BE REPORTED IF YOU DECIDE TO INCLUDE ONE)
Answer:
91 or 525
Step-by-step explanation:
Multiply the objects width (How long it is), times height. For the smaller object inside the bigger object, it is 91. For the bigger object, it is 525.
1. find the surface area 3 ft 4 ft 10 ft Your answer
Answer:
Surface area is 164 ft^2.
Step-by-step explanation:
2(10*4) + 2(10*3) + 2(4*3) = 164 ft^2
help ASAP Ill give you brainliest
Answer:
none of these
Step-by-step explanation:
There are 3 boys walking
There are a total of 20 people
3/20 = 0.15
That is 15 percent, therefore none of these answers.
Step-by-step explanation:
any has at least one mode