Answer:
the artifact was made about 8679 years ago
Step-by-step explanation:
Given the data in the question;
we know that, The half-life of carbon-14 is 5730 years.
Now using the following equation;
Final amount = (initial amount) [tex]([/tex]0.5[tex])^{(number of years/half-life)[/tex]
given that the tomb contains 35 percent of the carbon-14
meaning final amount / initial amount = 35% = 0.35
hence, from the equation;
0.35 = [tex]( 0.5 )^{ x/5730[/tex]
x = 5730 ln(0.35) / ln(0.5 )
x = 8678.5 ≈ 8679 years
Therefore, the artifact was made about 8679 years ago
Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY
A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2
Answer:
E. Slope: 0
F. Equation: y = -2
Step-by-step explanation:
✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.
The line that is parallel to the x-axis would have a slope of 0 as well.
Therefore, slope (m) = 0
✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.
Substitute (x, y) = (3, -2) and m = 0 into y = mx + b
-2 = 0(3) + b
-2 = 0 + b
b = -2
✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:
y = 0(x) + (-2)
y = 0 - 2
y = -2
PLEASE PLEASE HELP ME
Answer:
x = 77
Step-by-step explanation:
All angles in a triangle equal to: 180
70 + 33 = 103
180 - 103 = 77
Have a nice day!
find the area of the figure
9514 1404 393
Answer:
24.885 in²
Step-by-step explanation:
Use the formula for the area of a triangle.
A = 1/2bh . . . . . . . where b is the base length and h is the height perpendicular to the base
A = 1/2(7.9 in)(6.3 in) = 24.885 in²
_____
Additional comment
The given side lengths cannot form a triangle, as the side shown as 14.7 is too long for the ends of the other segments to connect to. The attachment shows that side should be 11.97 in.
what is the volume of a cube if s =8
Answer:
V=a^3
I think this is the answer sorry if am wrong
-6i+10i answer please
Really struggling, anyone mind explaining?
Step-by-step explanation:
You can solve this by splitting it into a net and calculating the areas of each shape
Count the triangles: 4
rectangles: 1
area of a triangle: 0.5 x b x h
area of a square : L x W
4(0.5 x b x h) + L x W = surface area
Which of the following is equivalent to log50^7 rounded to three decimal places
Answer:
11.886
Step-by-step explanation:
Given :
[tex]log 50^7[/tex]
Applying formula
[tex]log a^m=m log a[/tex]
So,
[tex]7 log 50\\=7(1.698)\\=11.886[/tex]
Answer will be 11.886
What is the equation of the line that passes through the point (6,1) and is parallel to the line x+3y=15
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Answer:
x + 3y = 9
Step-by-step explanation:
The parallel line will have the same x- and y-coefficients. The new constant can be found by using the (x, y) values of the given point.
x + 3y = (6 +3(1)) = 9
The equation of the parallel line is ...
x + 3y = 9
Can u help me with this?
Answer:
b
Step-by-step explanation:
it is the right answer pls believe me
Simplify the following expression:
-5[(x3 + 1)(x + 4)]
A. 4 + 4x3 + x + 4
B. x4 + 3 + 4x
C. -5x4 + 20X3 - 5
D. -5x4 - 20X3 - 5x- 20
-5[(x3 +1)(x + 4)]
=> -5[ x3 (x+4) + 1 (x+4) ]
=> -5 [ x4 + 4x3 + x + 4x ]
=> -5x4 -20x3 -5x -20x
option D is the correct one
What is the measure of angle R
Answer: 37 degrees
Explanation:
We have a right triangle because the tangent is always perpendicular to the radius, at the point of tangency.
That then leads to angles P and R being complementary, ie they add to 90
P+R = 90
R = 90-P
R = 90-53
R = 37
Suppose the following set of random numbers is being used to simulate the
event of a basketball player making five free throws in a row. How should the
numbers be rearranged?
860583 785814 010122 337198 621549 034076 796495 978078 433330
333153
A. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978
078 433 330 333 153
B. 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597
8078 4333 3033 3153
C. 86058 37858 14010 12233 71986 21549 03407 67964 95978
07843 33303 33153
D. 860583 785814 010122 337198 621549 034076 796495 978078
433330 333153
The list that represents the simulation of five free throws is (c) 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
To illustrate the simulation of five free throws, then each number on the list must have 5 digits
The list is given as:
860583 785814 010122 337198 621549 034076 796495 978078 433330 333153
When rearranged, we have:
86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
Hence, the list that represents the simulation of five free throws is (c) 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
Read more about random numbers at:
https://brainly.com/question/251701
In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.
Answer:
The change of the person landing on each side is 1/8
Step-by-step explanation:
Answer to the question
Answer:
(Opt.D) x = 14
Step-by-step explanation:
<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)
∴36 + 11x - 10 = 180
26 + 11x = 180
11x = 180 - 26
11x = 154
x = 154/11
x = 14
Hope this helps u
Please mark as brainliest
Thank You
Determine the solution set of (x-4)^2=12.
A: {4+2 square root of 3, 4-2 square root of 3}
B: {4-2 square root of 3, 4-2 square root of 3}
C: {2 square root of 3 + 4, 2 square root of 3 -4}
Step-by-step explanation:
answer is in photo above
Jasmine drinks 500 ml of water 3 times a day. How many days would it take to drink 9 liter of water?
Step-by-step explanation:
500ml. × 3 times when you get that you multiple it by the days and then takeaway
What is the domain of the graphed function
Answer:
the third option. x is a real number
The Venn diagram below represents the number of freshmen enrolled in
Math, Biology, and Psychology. How many freshmen are enrolled in both
Biology and Psychology?
Answer:
The answer is D, 3 freshman are in both
Answer:
3
Step-by-step explanation:
U can see 3 at the bubbles. It goes into both Biology and Psychology
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14x^4y^6/7x^8y^2
A. 2y^4/x^3
B. 7y^3/x^2
C. 7x^4y^4
D. 2x^2y^3
Answer:
The answer is A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this Helps ;)
What is the LOWER QUARTILE OR Q1 of the data set: 24, 25, 29, 30, 31, 31. 32, 34, 34?*
Answer:
n=9
Step-by-step explanation:
Q1=n+1/4
=9+1/4
=10/4
=2.5
I have one qt of solution diluted out 1:4 How much do I need to add to end up with a final product that’s a 1:10 solution?
Answer:
1.1352 L
Step-by-step explanation:
L = qt 1.0567
qt = 0.946 L
1:4 = 5
0.946/5 = 0.1892 L one part
0.1892 x 11 = 2.0812 11 parts as 1+10 =11
Answer therefore is subtracting 5 from 11 parts to get the final 6 parts added = 2.0812 - 0.946
= 1.1352 L
1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60
Answer:
30°
Step-by-step explanation:
180 - 90 - 60 = 30
Jose spent 2 hours watching TV.
During that time, there were 12
minutes of commercial. What
percent of the time Jose spent
watching commercials?
Answer:
10%
Step-by-step explanation:
2 hours is 120 minutes.
120/12 = 10%
would it be the same
Answers:
a) No, the figure would not look the same. See the diagram belowb) Yes the figure would look the same after a half turnc) Yes the figure would look the same after a full turn==================================================
Explanations:
a) The figure doesn't have 90 degree symmetry, so that's why we have a different looking figure after a quarter turn.b) The figure does have 180 degree symmetry. That's why it looks the same after a half turn (aka 180 degree turn)c) Rotating any figure 360 degrees, aka a full turn, will get everything back where it started. It doesn't matter if the figure has any symmetry or not.Which one hurry
A.10
B.20
C.38
D.66
Answer:
Option C, 38
Step-by-step explanation:
middle plus left and right plus up and dow
10 + 8 + 20
please help ASAP (math)
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
Solution:-Since the distance d varies directly as the time t, then d = kt.
Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.
[tex]\sf{\rightarrow{d = kt}}[/tex]
[tex] \sf\rightarrow{20 = 2k }[/tex]
[tex] \sf\rightarrow{K= \frac{20}{2} }[/tex]
[tex]\sf\rightarrow{K={\color{magenta}{10}}}[/tex]
Answer:-Therefore, the constant of variation is 10.find the missing angles
[tex]\huge\bold{Given :}[/tex]
Angle a = 39°
Angle c = 123°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle b.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
∠ b = 18°
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ a + ∠ b + ∠ c = 180°
➪ 39° + ∠ b + 123° = 180°
➪ ∠ b + 162° = 180°
➪ ∠ b = 180° - 162°
➪ ∠ b = 18°
Therefore, the measure of ∠ b is 18°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ a + ∠ b + ∠ c = 180°
✒ 39° + 18° + 123° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
JJM Corporation recently issued 10-year bonds at a price of $1,000. These bonds pay $60 in interest each six months. Their price has remained stable since they were issued, that is, they still sell for $1,000. Due to additional financing needs, the firm wishes to issue new bonds that would have a maturity of 10 years, a par value of $1,000, and pay $40 in interest every six months. If both bonds have the same yield, how many new bonds must JRJ issue to raise $2,000,000?
Answer:
2,596
Step-by-step explanation:
Calculation to determine how many new bonds must JRJ issue to raise $2,000,000
Given,
Coupon rate = 8.0%
Face value = 1000
Year to maturity = 10
NPER = 20
First step is to calculate the PMT using this formula
PMT = Face value × Coupon rate / 2
Let plug in the formula
PMT=(1000 × 0.08) / 2
PMT= 80/2
PMT= 40
Second step is to calculate the Rate using this formula
Yield = 12%
Rate = Yield / 2
Let plug in the formula
Rate= 12% / 2
Rate= 6%
Third step is to calculate the net proceeds using this formula
Net proceeds= PV(rate, NPER, PMT, FV)
Let plug in the formula
Net proceeds= PV(6%, 20, 40, 1000)
Net proceeds= $770.60
Now let calculate how many new bonds must JRJ issue to raise $2,000,000
New bonds needed= $2,000,000 / 770.60
New bonds needed= 2,596 bonds
Therefore how many new bonds must JRJ issue to raise $2,000,000 will be 2,596 bonds
Dave is helping his grandmother make trail mix. His grandmother ask
him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, Dave mix ?? cup of fruit for a single, cup of nuts.
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Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts