The half life of the iodine is obtained as 6.2 s.
What is the half life?
Let us recall that the half life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.
Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;
Half life = 0.693/K
Half life = 0.693/0.1113
Half life = 6.2 s
It would have the half life about 6.2 s.
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Swimming Pool B is also rectangular and has a perimeter of 90m. Its length is 25m. What is the width?
By using the formula for the perimeter, we will get that the width of the pool is 20 meters.
What is the width of the swimming pool?
Remember that for a rectangle of length L and width W, the perimeter is given by the formula:
P = 2*(L + W)
In this case, we know that the perimeter is 90m, and the length is 25m, then we know that:
P = 90m
L = 25m
Replacing that in the formula above we will get:
90m = 2*(25m + W)
now we can solve this for W.
90m/2 = 25m + W
45m - 25m = W
20m = W
The width of the pool is 20 meters.
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On Saturday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?
Let x be the number of hamburgers sold, then the number of cheeseburgers sold can be represented as 2x. The total number of hamburgers and cheeseburgers sold is the sum of these two quantities, so we can write an equation:
x + 2x = 396
To solve for x, we can combine like terms on the left side of the equation:
3x = 396
Then we can divide both sides by 3 to get:
x = 132
So, the number of hamburgers sold on Saturday is 132.
Find the midpoint and distance between (-3,10) and (15,-2)
The midpoint and distance between (-3,10) and (15,-2) are ( 6,4 ) and 6√13 respectively.
What is the midpoint and distance between the given coordinates?The midpoint formula is expressed as;
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1(-3,10)
x₁ = -3y₁ = 10Point 2( 15,-2 )
x₂ = 15y₂ = -2Plug the given values into the midpoint formula and simplify.
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
[ ( -3 + 15)/2, ( 10 + (-2) )/2 ]
[ ( 12)/2, ( 10 - 2 )/2 ]
[ ( 12)/2, ( 8 )/2 ]
( 12/2, 8/2 )
( 6,4 )
Therefore, the midpoint is (6,4).
Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √( ( 15 - (-3) )² + ( -2 - 10 )² )
D = √( ( 15 + 3 )² + ( -2 - 10 )² )
D = √( ( 18 )² + ( -12 )² )
D = √( 324 + 144 )
D = √( 468 )
D = 6√13
Therefore, the distance between the points is 6√13.
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In response to rising concerns about identity theft, the number of models of paper
shredders a company manufactures increased approximately steadily from 5 models
in 1993 to 34 models in 2005. Find the average rate of change of the number of
shredder models manufactured per year between 1993 and 2005.
The average rate of change of the number of paper shredders manufactured per year
between 1993 and 2005 was 0.41
(Type an integer or decimal rounded to two decimal places as needed.)
Expand and simplify
(x-2)(2x+3)(x+1)
Answer:
2x³ + x² - 7x - 6
Step-by-step explanation:
(x-2)(2x+3)(x+1)
first: (x-2)(2x+3) = 2x² + 3x - 4x -6 = 2x² - x - 6
second: (2x² - x - 6)(x+1) = 2x³ + 2x² - x² - x - 6x - 6 = 2x³ + x² - 7x - 6
Answer:
(x-2) [(2x+3)(x+1)]
(x-2)[(2x²+2x+3x+3)]
(x-2)[(2x²+5x+3)]
(x-2) (2x²+5x+3)
2x³+5x²+3x-4x²-10x-6
Answer = 2x³+x²-7x-6
BRAINLIEST FOR ANSWER UNDER 10 MINUTES The table shown represents a linear relationship.
x 0 1
3
4
y-8-6-20
Based on the table, what is the equation of the linear relationship in slope-intercept form?
Oy=2x-8
Oy = 2x+8
Oy = -2x + 4
Oy=-2x - 4
Answer: y = 2x-8
Step-by-step explanation:
Let's try to determine by substitution method. Starting from the first equation:
y = 2x-8
2·0-8 = -8
2·1-8 = -6
2·3-8 = -2
2·4-8 = 0
The first equation satisfies the conditions of the table.
14. Find ST, 5 points plz
Answer:
7 Can I have brainliest
Step-by-step explanation:
A roller coaster begins at ground level, rises 63 feet, then falls 71 feet. What is the
elevation of the roller coaster, relative to the ground? *
134 feet
8 feet
- 8 feet
- 134 feet
Answer:
-8 feet
Step-by-step explanation:
63 - 71 = -8
Please solve the ques. below
The velocity of the train is given as follows:
900 m / min.
How to obtain the velocity of the train?To obtain the velocity of the train, we must understand the relation between velocity, distance and time, which is given as follows:
v = d/t.
In which the parameters are given as follows:
v is the velocity.d is the distance.t is the time.The train took a difference of 200 m in 15 seconds = 0.25 minutes, hence the difference in velocities is given as follows:
200/0.25 = 800 m / min.
(the difference in velocity is the distance covered divided by the time).
As Uncle Tony is walking at a rate of 100 m / min, the velocity of the train is calculated as follows:
800 + 100 = 900 m / min.
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Consider two stocks. Stock 1 always sells for $10 or $20. If stock 1 is selling for $10 today, there is a .80 chance that it will sell for $10 tomorrow. If it is selling for $20 today, there is a .90 chance that it will sell for $20 tomorrow. Stock 2 always sells for $10 or $25. If stock 2 sells today for $10, there is a .90 chance that it will sell tomorrow for $10. If it sells today for $25, there is a .85 chance that it will sell tomorrow for $25. On the average, which stock will sell for a higher price? Find and interpret all mean first passage times.
Answer:
On stock 2 will be has an average sell of $50 for higher price.
Step-by-step explanation:
stock 1 of $10 (today)+ $10 (80% chance tommorow)=$20 stock sell price and for $20(today)+$20(90% chance tommorow)= $40 this two final of price for stock 1.
Stock 2 of $10 (today)+$10(90% chance tommorow)= $20 and of $25(today)+$25(85% chance tomorrow)= $50 this two for final of it's price for stock 2.So as for Stock 2 has the average sell higher price.
Hope this helps you
A cone has a height of 12 centimeters and a diameter of 10 centimeters. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
please help i really need like 6 more questions
Answer:
314 cm³
Step-by-step explanation:
Given ::
Cone height, h = 12 cm
Diameter of cone, d = 10 cm
Hence, radius, r = diameter / 2 = 10/2 = 5cm
The volume of a cone = 1/3 πr²h
V = 1/3 * 3.14 * 5² * 12
V = 3.14 * 25 * 4
V = 314cm³
Two alien spaceships start traveling toward each other from space stations that are 710,000 km apart. The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr. In how many hours will the two spaceships meet if the second spaceship is traveling at 90,000 km/hr?
The spaceship will meet in how many hours?
The time that it will take for the spaceships to meet is given as follows:
3 hours.
How to model the situation?Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
The slope m represents the velocity.The intercept b represents the initial position.The positive direction is considered from the first spaceship towards the second spaceship.
The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:
710,000 - 110,000 = 600,000 km.
Then the functions are given as follows:
x1(t) = 110t.x2(t) = 600 - 90t. (negative as they travel in opposite direction).They will meet when:
x1(t) = x2(t).
Hence:
110t = 600 - 90t
200t = 600
t = 600/200
t = 3 hours.
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The time that it will take for the spaceships to meet is given as follows:
3 hours.
How to model the situation?
Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
The slope m represents the velocity.
The intercept b represents the initial position.
The positive direction is considered from the first spaceship towards the second spaceship.
The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:
710,000 - 110,000 = 600,000 km.
Then the functions are given as follows:
x1(t) = 110t.
x2(t) = 600 - 90t. (negative as they travel in opposite direction).
They will meet when:
x1(t) = x2(t).
Hence:
110t = 600 - 90t
200t = 600
t = 600/200
t = 3 hours.
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a biking track has a length of 2376 feet. how long is this in miles
Answer:0.45 miles
Step-by-step explanation:
Conversion
Tracy puts $3,500 into an investment yielding 4.5% annual interest. She left the money in for 8 years and 3 months. How much interest does she get in that time
Tracy gets $1299.375 interest after 8 years and 3 months for an investment of $3,500 at a 4.5% annual interest rate.
What is Simple Interest?
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
The formula for calculating Simple Interest is -
S.I. = (P×R×T)/100
where, P = initial principal balance, R = annual interest rate and T = time (in years)
So, the principal rate, P = $3,500, the interest value, R = 4.5%, and the Time is T= 8.25 years.
Applying the formula for Simple Interest -
S.I. = (P×R×T)/100
S.I. = (3500×4.5×8.25)/100
S.I. = 1299.375
Therefore, the interest amount obtained is $1299.375.
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00:00
Which is greater: 10 centimeters or 103 millimeters? How much greater?
Answer:
103 is greater by .3
Step-by-step explanation:
103 mm equals 10.3 cm so it is greater by .3
Which equation is equivalent 2^4x=8^x-3
PLEASE HELP!!
Angle three is the angle of elevation from the tree to the ship?
Angle three is the angle of depression from the tree to the ship?
Angle three is the angle of depression from the ship to the tree?
Angle three is the angle of elevation from the ship to the tree?
How are they equivalent?
Answer:
A
Step-by-step explanation:
When you distribute what is in the parentheses you get 2.5m + 7m=9.5m, and then you add that to m aka 1m, which is 10.5m and they both end with -2.
2(-2b)+2b=-8 what does b equal
Answer:
b = 4
Step-by-step explanation:
[tex]2(-2b) + 2b = -8[/tex]
Open the brackets & simplify the terms (which were in brackets).[tex]=> -4b + 2b = -8[/tex]
[tex]=> -2b = -8[/tex]
Divide both the sides by -2[tex]=> \frac{-2b}{-2} = \frac{-8}{-2}[/tex]
[tex]=> b = 4[/tex]
Please help (the value are 50 and 45
Answer:
85 degrees
Step-by-step explanation:
Angle DEC = 50 degrees (vertically opposite angles are equal).
So angle CDE= 180-45-50=85 degrees (angles in triangle sum to 180).
Because they are similar x = 85 degrees
Find the area and perimeter of the triangle
Answer: 25.2
Step-by-step explanation: hope the is helps :D
please answer this question right now
Answer:
6) c
7) d
Step-by-step explanation:
6) 25 + 15= 40
40+35=75
Php. 75
7) 29•3=87
150-87=63
Php. 63
Hope this helps!
f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)
Answer:
16
Step-by-step explanation:
3^x +1 = f(X)
2x-4 = g(x)
find f(2)-g(-1)
we substitute in function f(X) by value (2), and in function g(X) by value (-1)
1. 3^x +1 becomes 3^2+1 =9+1=10
2. 2(-1)-4= -2-4=-6
then f(2)-g(-1)
= 10-(-6) =10+6=16
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
Correct answer is 8.2
I see 5 points instead of 50 pointssssss
Give 50, otherwise I will report u
) For comparison with other years and with other countries, we prefer a histogram of the percentages in each age class rather than the countries. Explain why.
Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns,.
What is percentage?A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here,
Given : we prefer a histogram of the percentages in each age class rather than the countries
It's because Different years and countries may have different overall numbers of newborns, making a comparison based on the absolute numbers difficult
If we insist on using the absolute numbers,
The group with the most population would definitely result in higher results, and make it impossible for us to see the changes in weight that happen to average inborns.
Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns.
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Help!! Like what even is this
The new transformation coordinates are B""(6, 15), C""(-3, 12), and Dilate k=3 by multiplying both x and y by 3.
what is coordinates ?When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.
given
For point B,
B(1,2) → B'(1 , -2) → B"( 2, -5) → B""( 6 ,-15)
For point C,
C(-2,1) → C'( -2 , -1) → C"( -1 , -4 )→ C"" ( -3 , -12)
In order to reflect a point across the x-axis, keep the x coordinate constant while changing the y coordinate to its opposite.
<1, -3> the following translations: Add 1 to x, take 3 away from y.
Add 3 to both x and y to dilate k=3.
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Every month $50 is withdrawn from Tom’s savings account to pay for his gym membership he has enough savings to withdraw no more than $200 for how many months can Tom pay for his gym membership.
Answer:
4 months.
Step-by-step explanation:
Select the correct answer from each drop-down menu. Graph of a four-sided polygon on a coordinate plane at A (minus 1, minus 1), B (0, 1), C (2, 2), and D (2, minus 1). In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′ is at (-2, -2) , and point D′ is at (4, -2) .
The coordinates of the vertices of polygon A'B'C'D' after the dilation are given as follows:
A'(-2, -2), B'(0, 2), C'(4,4), D'(4,-2).
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The vertices of the original polygon for this problem are given as follows:
A(-1,-1), B (0, 1), C (2, 2), and D (2, -1).
The scale factor for the dilation in this problem is given as follows:
k = 2.
Hence the coordinates of the vertices of polygon A'B'C'D' after the dilation are given as follows:
A'(-2, -2), B'(0, 2), C'(4,4), D'(4,-2).
(as each coordinate of each vertex was multiplied by the scale factor of 2).
Missing InformationThe problem is incomplete, hence the coordinates of the vertices of the image after the dilation were obtained to show how the dilation works.
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can someone help me please i really have to do this right now
Answer: Angles 2 and 4 = 38, Angle 1 = 142
Step-by-step explanation:
Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.
Captain Crunch costs $3.50, while a pack of gourmet oatmeal costs $2.50. If $25 of
breakfast food was purchased and 8 total items were purchased, how many oatmeal
packets must have been bought?
Answer:
I believe the answer is 3
Step-by-step explanation:
1) 3.50 * 5 = 17.50
2) 2.50 * 3 = 7.50
3) 17.50 + 7.50 = 25
Answer:
Step-by-step explanation:
given:
25 = 3.5x + 2.5y
8 = x +y
use substitution to solve
8-x = y
25 = 3.5x + 2.5(8-x)
25 = 3.5x + 20-2.5x
5 = 1x
x = 5
they bought 5 Captain Crunch :P yes, Captain Crunch is sooooo good
and 3 yucky oatmeal packets :P
so 3 packets of oatmeal :)