Answer: -85403
Step-by-step explanation:
you find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. what is the approximate age of the bone?
The approximate age of the bone is 22920
The half-life of an isotope is characterized as the sum of time it takes for there to be half the beginning sum of the radioactive isotope present.
since we know for half time
N = N₀(1/2) n ..........1
where n is the new amount whereas N₀ is the initial amount and n is the number of half time
since the ratio of 14c:12c is 1/16
so the equation 1 gets converted to
N/No =(1/2)n
=>1/16 = (1/2)n
=>(1/2)4 = (1/2)n
=> n= 4
So the age of the bone will be 4* 5730 =22920
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You find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. If the half-life of 14C is 57305730 years what is the approximate age of the bone?
What is the absolute value of –8? Use the number line to help answer the question.
The absolute value of (-8) would be 8 on number line.
The absolute value of any number represented on number line is given as the distance of the number from zero on a number line, when counted on whichever side it is present that is either negative or positive. In mathematical notation, absolute value is defined as the modulus of the number, enclosed in two straight lines. For example: |-8| or |8| would have absolute value 8 even though both the numbers are represented on negative and positive side of zero respectively on the number line. The absolute value of any number which is also a real number is the non-negative value of that number irrespective of its sign. Number line figure is attached below.
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You are given expression12^8/12^4 to simplify
Answer:
12^4
Step-by-step explanation:
because dividing exponent divide when the number in this case 12 don’t change so 8-4=4 so 12^4 or 20736
Subject: Trigonometry, Evaluation of Functions
Hi, I only need help matching the graphs to the questions :) Brainly let's me attach a few graphs, this is 5/10, but i do have a similar question after this one with the rest of the graphs. Sorry!!
5. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. sin0 = 2/3
6. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. cos0 = -1/2
7. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. cot0 = 3/4
8. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. csc0 = 3/2
(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.
(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.
(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.
(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.
What is Quadrant?
A plane is split into four sections in the cartesian system by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.A quadrant is an area or section of a cartesian plane that results from the intersection of two axes. It is employed to establish a point's location in a plane.(i) When sinФ=2/3
Ф=sin^(-1)(2/3)
Ф=41.81°,138.18°
So it lies in Ist and IInd quadrant.
A suitable graph is not provided here.
(ii) when cosФ=-1/2
Ф=cos^(-1)(-1/2)
Ф=120°,240°
So it lies in IInd and IIIrd quadrant.
A suitable graph is A and D.
(iii) when cotФ=3/4
Ф=cot^(-1)(3/4)
Ф=53.13°,233,13°
So it lies in Ist and IIIrd quadrant.
A suitable graph is E.
(iv) when cosecФ=3/2 or sinФ=2/3
Ф=sin^(-1)(2/3)
Ф=0.729°
So it lies in Ist quadrant.
A suitable graph is not provided here.
(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.
(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.
(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.
(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.
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Mark walked 21,129 feet in one hour. At that speed about how many miles will he walk in two hours?
Answer:
8.00340909
Step-by-step explanation:
since 21129 was walked in one hour the in two hours 42258 wouldve been walked so that means mark walked a little over 8 miles
hope this helped
have a good day^^
Determine the value of y in the inequality.
18 + 3y < 27
y > 3
y < 3
y > −9
y < −9
Answer:
y < 3
Step-by-step explanation:
The function y= (x - 4)^2 + 3 is a transformation of the function y = x^2 . How is the function’s vertex affected by the transformation?
The transformation has a horizontal shift right by 4 units and vertical shift upwards by 3 units.
What do you mean by transformation of a function ?
The modification of a graphed function to create a different version of the parent function is known as transformation.
For the given condition :
The function is y = (x - 4)² + 3.
The above function is transformed from the parent function which is y = x².
We know that , the horizontal shift depends on the value of h. The horizontal shift and it is described as:
y = f (x + h)
Then , the graph of function will be shifted to left by h units.
and
y = f (x - h)
Then , the graph of function will be shifted to right by h units.
If we compare both functions i.e., y = (x - 4)² and y = f (x - h), their is a difference of -1 , it meant shift is right by 4 units.
Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:
y = f(x) + k
Then , the graph of function will be shifted up by k units.
and
y = f(x) - k
Then , the graph of function will be shifted down by k units.
Here , if we compare functions i.e., y = (x - 4)² + 3 and y = y = f(x) - k , we find out that the graph of function will be shifted upwards by 3 units.
Therefore , the transformation has a horizontal shift right by 4 units and vertical shift upwards by 3 units.
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Each Marble bag sold by Rita's Marvel company contain two green marbles or every three orange marbles if a bag has 15 orange marbles how many green marbles does it contain
The number of green marbles in the bag is 10
How to determine the number of green marbles?From the question, we have the following parameters:
Green marble = 2Orange marble = 3Total number of orange marbles in a bag = 15The given parameters can be represented using the following ratio
Ratio = Green marble : Orange marble
So, we have
Green marble : Orange marble = 2 : 3
When there are a total number of 15 orange marbles in a bag, then we have
Green marble : 15 = 2 : 3
Multiply ratio by 5
Green marble : 15 = 10 : 15
By comparison, we have
Green marble = 10
Hence, there are 10 green marbles in the bag
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May you guys/girls please help me I have to submit this befoer mid night and I do not fail because my parents will get me , so may y'all please help me out!?
Answer: 2/3
Step-by-step explanation:
1) First locate two points.
First, locate two points on the graph. For this example, I will choose (-2,0) and (1,2)
2) Find the distance between these two points.
We can find that from starting from (-2,0), we go right 3 and up 2. You can easily do this on paper by drawing a triangle.
3) Using the numbers we have before, find the rate.
To find the rate, we can use rise/run. Which will become 2/3.
Hello!
To find the slope of the line:
==> must find two points on the line
(x₁, y₁): (-2,0)
(x₂, y₂):(1,2)
[tex]Slope = \dfrac{2-0}{1--2} =\dfrac{2}{3}[/tex] <== Answer
Hope that helps!
PLS HELP I REALLLY NEED IT ITS BEEN UP FOR SO LONG ITS ALMOST DUE PLEASE HELP
Answer:
400
Step-by-step explanation:
yw
Answer:
1. 26 2/3
2. 13/5
3. 2000,3000,4000
INSTANT HELP PLEASE PLEASE PLEASE
can someone please help solve this math problem with solution? thank u!
Answer:
the answer is 196
63^2-49^2
(7×9)^2 -(7×7)^2
7^2 (9-7)
7^2 ×2^2
49 × 4
196
Answer:
1568
Step-by-step explanation:
i simplified the expression
the vertices of PQR are P(-5,1), Q(-4,6), and R(-2,3), graph P"Q"R" after a composition of the transformations in the order they are listed.
SOLUTION
We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).
In P(-5,1), x = -5 and y = 1
In Q(-4,6), x = -4 and y = 6 and
In R(-2,3), x = -2 and y = 3
[tex]\begin{gathered} P(-5,\text{ 1) translates to (-5 -8, 1) }\rightarrow P^i(-13,\text{ 1)} \\ Q(-4,\text{ 6) translates to (-4 -8, 6) }\rightarrow Q^i(-12,\text{ 6)} \\ R(-2,\text{ 3) translates to (-2 -8, 3) }\rightarrow R^i(-10,\text{ 3)} \end{gathered}[/tex]For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.
[tex]\begin{gathered} At\text{ K = 2, }P^i(-13,\text{ 1) }\rightarrow\text{ }2(-13,\text{ 1) }\rightarrow\text{ }P^{ii}(-26,\text{ 2)} \\ Q^i(-12,\text{ 6) }\rightarrow\text{ }2(-12,\text{ 6) }\rightarrow\text{ Q}^{ii}(-24,\text{ 12)} \\ R^i(-10,\text{ 3) }\rightarrow\text{ }2(-10,\text{ 3) }\rightarrow\text{ R}^{ii}(-20,\text{ 6)} \end{gathered}[/tex]the true average diameter of ball bearings of a certain type is supposed to be .5 in. a one-sample t test will be carried out to see whether this is the case. what conclusion is appropriate in each of the following situations? a. n
The null hypothesis should not be rejected. There is insufficient evidence that the true diameter differs from 0.5 inches.
We are given that,
n = 15
t-value = 1.66
Significance level;α = 0.05
So, DF = n - 1 = 15 - 1 = 14
In the attached one-sample t-table, we can see that the p-value of 0.06
corresponds to a t-value of 1.66 and a DF of 14
Due to the P-value of 0.06, it is greater than the significance level of 0.05. Based on the results, we are not rejecting the null hypothesis. There is insufficient evidence to conclude that the true diameter in active attachment is different from 0.5
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What is the expanded form of this number?
14.702
here is confusing it wont paste right but try to help tysm
(1×10)+(4×1)+(7×110)+(2×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 10 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis
(1×10)+(4×1)+(7×110)+(2×11,000)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 10 right parenthesis plus left parenthesis 2 times 1 over 1000 right parenthesis
(1×10)+(4×1)+(7×1100)+(2×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 100 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis
(1×10)+(4×1)+(7×1100)+(2×11,000)
The expanded form of this number 14.702 will be (1 × 10) + (4 × 1) + (7/10) + (2/1000)
How to illustrate the information?It should be noted that expanded form simply means breaking down of the number given into different units.
Therefore, based on the information illustrated. This will be:
14.702 will be:
= (1 × 10) + (4 × 1) + (7/10) + (2/1000)
= 10 + 4 + 0.7 + 0.002
Note that your options aren't written well.
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Which table represents a proportional relationship?
Responses
x 1 2 3 4 5
y 4 5 6 7 8
r 2 3 4 5 6
s 3 5 6 8 9
b 2 3 8 9 14
c 4 6 16 18 28
I don't know.
The tables that represent a proportional relationship are :
x 1 2 3 4 5
y 4 5 6 7 8
b 2 3 8 9 14
c 4 6 16 18 28
Which tables have a proportional relationship?Two variables have a proportional relationship when the ratios of the rate of change of the variables are constant.
Ratio = change in the value of y / change in the value of x
First table:
(5 - 4) / (2 - 1) = 1
(6 - 5) / (3 - 2) = 1
(7 - 6) / (4 - 3) = 1
(8 - 7) / (5 - 4) - 1
Second table:
(5 - 3) / (3 - 2) = 2
(6 - 5) / (4 - 3) = 1
(8 - 6) / (5 - 4) = 2
(9 - 8) / (6 - 5) = 1
Third table:
(6 - 4) / (3 - 2) = 2
(16 - 6) / (8 - 3) = 2
(18 - 16) / (9 - 8) = 2
(28 - 18) / (14 - 9) = 2.
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A savings account increases from 200$ to 208$. What is the percent increase of the savings account?
Please help
1: A rectangle has a length of 4.3 cm and a perimeter of 14.8 cm. Find the width of the rectangle.
Cm
2: Lanie has 33 total games downloaded on her phone and her laptop. Her laptop has 7 less than 3 times the number of games that are on her phone. How many games does Lanie have on her phone?
Enter your answer in the box.
games
1. The width of the rectangle is 3.1cm
2. The number of games in Lanie's phone is 10
How to determine the valueThe formula for calculating the perimeter of a rectangle is expressed as;
Perimeter = 2(l + w)
Where;
L is the length of the rectanglew is the width of the rectangleGiven the values as length = 4.3cm and perimeter = 14. 8cm
Substitute the values into the formula
14. 8 = 2(4.3) + 2w
expand the bracket
14. 8 = 8. 6 + 2w
collect like terms
2w = 14. 8 - 8.6
2w = 6. 2
Divide through by the coefficient of w
w = 6.2/2
w = 3.1 cm
Let the number of games in Lanie's phone be x
x + 3x - 7 = 33
collect like terms
4x = 33 + 7
4x = 40
Divide both sides by 4
x = 40/4
x = 10 games
Hence, the width is 3.1cm
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What pattern do you notice in these two
measurements,
10.3 cm and 103 mm?
All side lengths of ΔJKL equal 2 units. A transformation maps ΔJKL to ΔJ'K'L'. The length of side J'K' is 5 units. Is this a rigid transformation?
No, there is no one-to-one mapping of all the points of the pre-image to the image.
No, at least one segment length is not preserved, making this a nonrigid transformation.
Yes, the vertices of the pre-image map to the vertices of the image.
Yes, all of the side lengths of the pre-image are proportionate to the image.
Answer: No, at least one segment length is not preserved, making this a nonrigid transformation.
Step-by-step explanation: A rigid transformation implies that both the shape and size are not changed. The second answer is right because the length of segment JK (2 units) is not preserved when mapped onto J'K' (5 units).
-6(6x - 1) +9=36x + 18
Answer:
x = - 1 / 24
Step-by-step explanation:
-6 ( 6x - 1 ) + 9 = 36x + 18
First, solve the brackets.
-36x + 6 + 9 = 36x + 18
Then, subtract 36x by both sides.
-36x - 36x + 6 + 9 = 18
-72x + 15 = 18
Now, Subtract 15 by both sides.
-72x = 18 - 15
-72x = 3
Now divide both sides -72 by both sides.
x = - 3 / 72
x = - 1 / 24
simplify + 3 root 20 +4root5
Answer:
Step-by-step explanation:
[tex]3\sqrt{20} + 4\sqrt{5}[/tex]
1st: Split up the numbers under the radical into possible factors.
[tex]3\sqrt{5*4} + 4\sqrt{5}[/tex]
2nd: Take out the perfect square (in this case 4)
[tex]3*2\sqrt{5} + 4\sqrt{5}[/tex]
3rd: simplify
[tex]6\sqrt{5} + 4\sqrt{5}[/tex]
4th: Combine like terms
[tex]10\sqrt{5}[/tex]
Answer:
[tex]\sf 10\sqrt{5}[/tex]
Step-by-step explanation:
Simplifying the radicals:Prime factorize 20 and simplify 3√20
[tex]\sf 3\sqrt{20} = 3\sqrt{2*2*5}=3*2*\sqrt{5}=6\sqrt{5}[/tex]
[tex]\sf 3\sqrt{20}+4\sqrt{5}=6\sqrt{5}+4\sqrt{5}[/tex]
[tex]\sf = 10\sqrt{5}[/tex]
I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(
Answer:
Step-by-step explanation:
To find the cost of the apples, simply multiply the cost by how much Derek buys. So: 3.8 * 1.35= 5.13.
So, For Part A the answer is A.
For Part B: We need to find the total cost of both apples and oranges. We already know the total cost of apples is 5.13. We need to find the cost of oranges.
We multiply:
5.2* 1.45= 7.54
Now, add the totals together: 7.54+5.13
The total is 12.67.
If Derek payed with a 20 dollar bill, we would subtract 20 with 12.67.
The answer is 7.33. So the answer is A.
HELP PLS,
Alexandra signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded.
Answer:
D.
Step-by-step explanation:
7.99 is the basic fixed cost per month. this is charged, even if there are no songs (x = 0) downloaded.
and so, 1.75 is the cost per downloaded song in addition to the basic fixed cost. so, yes, the number of downloaded songs has to be multiplied by the cost for a single song to get the total.
and so, 1.75 is the change in the total cost for every automakers download (every time x is increased by 1).
I need to graph the line with slope 4 and y-intercept -4
The equation of a line in the slope-intercept form is:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept. These values are given, then the equation of the line is:
[tex]y=4x-4[/tex]To graph it, we need to know the coordinates of at least two points on the line.
Whan x=0, then y is:
[tex]\begin{gathered} y=4\cdot0-4 \\ y=0-4 \\ y=-4 \end{gathered}[/tex]Thus, the first point is (0,-4).
When x=1, then y is:
[tex]\begin{gathered} y=4\cdot1-4 \\ y=4-4 \\ y=0 \end{gathered}[/tex]The second point on the line is (1,0).
If we draw these points in the coordinate plane, we can draw a line that passes through them, and this will be the graph of the line.
It looks like this:
Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning.
Mr. Byars is buying a new tie from Macy's. It says the tie costs $15.00 but there is a sign above it that says 25% off. How much will the tie cost before taxes?
Before taxes, the tie will cost $11.25
What is a discount?Discounts are price cuts made by store owners on goods or services that would otherwise be sold for the indicated price. Usually, this portion of the rebate is given to increase sales or get rid of extra inventory. The List Price, sometimes referred to as the Marked Price, is the cost of a product as declared by the seller or manufacturer, excluding any discounts.
The final price at which a product is actually sold is the selling price, which includes any discounts or price drops from the list price. Off or reductions are frequent terms used to describe discounts. Note that the marked price of the item is always used to calculate the discount (list price).
Discount = List Price - Selling Price
Discount (%) = (Discount/List Price) × 100
According to the question,
List price = $15.00
Discount % = 25 %
Cost of the tie before taxes = [tex]List \: price \:\frac{ (100 - Discount \%)}{100}[/tex]
⇒ [tex]\text{\$15.00}\: \frac{(100-25)}{100}[/tex]
⇒ [tex]\text{\$15.00}\: \frac{75}{100}[/tex]
⇒ [tex]\text{\$15.00}\: \frac{3}{4} = \text\:{\$15.00 \times 0.75}[/tex]
⇒ $11.25
Therefore, before taxes, the tie will cost $11.25
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Sariah bought a magazine for $3.95 and 5 packs of gum. She spent $18.75. How much did it cost for 1 pack of gum?
Answer: $2.96
Step-by-step explanation:
$18.75 - $3.95 = $14.80
$14.80 / 5 = $2.96
Justin is playing tennis. When serving, he stands 12 feet away from the net, which is 3 feet tall. The ball is served from a height of 7.5 feet. Justin thinks the ball travels about 21.4 feet before it hits the ground 8 feet from the net on the opposite side.
a) How far does the ball travel?
b) What assumptions did you make to solve the distance the ball travels?
c) What mathematical practice did you use to solve this problem?
Considering Justin's serve, it is found that:
a) The ball traveled 21.4 feet, which means that Justin's estimate is correct.
b) An assumption regarding the angle of Justin's serve was made.
c) The Pythagorean Theorem was used to solve this mathematical problem.
Pythagorean TheoremThe Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle(triangle which has an angle of 90º between the two legs) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following rule:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Assuming that the ball was served at an angle of 90º, the situation can be summarized as follows:
Distance of the serve: hypotenuse of the triangle.Bottom leg: horizontal change, of 20 feet, 12 feet on one side of the net and 8 feet on the other side of the net. Top leg: vertical change, of 7.5 feet, as the serve was made at a height of 7.5 feet, and hit the ground, where the height is of 0.Hence the Pythagorean Theorem is applied and the distance is calculated as follows:
d² = 7.5² + 20²
d = sqrt(7.5² + 20²)
d = 21.4 feet.
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Melika Yasin's gross pay for this week is $355.00. She is married and claims no allowances. According to the table below, what amount will be withheld from Ms. Yasin's pay for FIT?
Based on the gross pay for Melika Yasin, and the fact she claims no allowances and is married, the amount withheld from her pay for Federal Income Tax is $43.
How to find the amount withheld for federal income tax?Melika Yasin had a gross pay of $355.00 for the week. This amount is more than $350 but less than $360.
Melika Yasin therefore falls into the bracket of "At least $350 but less than $360."
She also claims no allowances in this bracket. This means that the amount that would be withheld for Federal Income Tax according to the table would be $43.
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