can someone help me please
The radioactive substance uranium-240 has a half-life of 14 hours. The amount
A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function.
At = 3900(1/2) t/14
Find the initial amount in the sample and the amount remaining after 60 hours.
Round your answers to the nearest gram as necessary.
PLEASE HELP ASAP
See analyris
Step-by-step explanation:[tex]Hlug\ in\ the\ value\ of \left.\ t.\right\}[/tex]
[tex]The\ infital\ ampunt\ in\ the\ sample:[/tex]
[tex]t=0_{-1}\ \ \ \ \ f(t)=39\omega\bullet(\frac{1}{2})^\frac{0}{14}[/tex]
[tex]=3900\ g.[/tex]
[tex]Ater\ bo\ busis.[/tex]
[tex]t=6,\ \ \ \ \ A(t)=2900\times(\frac{1}{2})^\frac{60}{14}[/tex]
[tex]=3900\times(\frac{1}{2})^\frac{30}{7}[/tex]
[tex]\approx 209.[/tex]
I hope this helps you
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3.) Jacob read 144 pages of his favorite book in 6 hours. What is the average rate the student
reads, in pages per hour?
Answer:
24 pages per hour :)
Step-by-step explanation:
We need to divide to solve :)
144/6 = 24
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Answer:
1/3
Step-by-step explanation:
or 4/12 if not simplified
What’s the answer to -15(9)
Answer:
-135
Step-by-step explanation:
-15*9=-135
Jamari's family has completed 60% of their road trip. If they have completed 90 miles so far, how long is the whole trip?
Answer:
150 miles
Step-by-step explanation:
If they've completed 60% and have covered 90 miles
We can say
60% = 90 (miles)
We can work out 10% by dividing by 6 on both sides
10% = 15
100% is just 10 times larger
100% = 150
The trip (100% completion) is 150 miles
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Please help me with this
B) <2≅<6
Step-by-step explanation:When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.
Defining a Corresponding Angle
Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.
Proving the Lines are Parallel
Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.
Process of Elimination
Additionally, we can prove that B is correct by proving that the other answers are incorrect.
A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.
C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.
D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.
What is the surface area of a right rectangular prism with a length of 5.2 mm, a width
of 4.9 mm, and a height of 9.1 mm?
Answer:
Solution
A=2(wl+hl+hw)=2·(4.9×10-3·5.2×10-3+9.1×10-3·5.2×10-3+9.1×10-3·4.9×10-3)≈2.3478×10-4m²
Step-by-step explanation:
What type of sampling method should be used when accuracy and generalizability of findings is a primary concern
The sampling method that ensures the accuracy and generalizability of findings is a random sampling.
What is random sampling?
The term random samping is a sampling technique in which the participants are selected in a random manner from the population. The sample is selected in such a way that it is representative of the entire population.
The sampling method that ensures the accuracy and generalizability of findings is a random sampling.
Learn more about random sampling: https://brainly.com/question/12719656
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solution 1
[tex]\dashrightarrow \sf 6\dfrac{2}{6} *1\dfrac{1}{2}[/tex]
[tex]\dashrightarrow \sf \dfrac{38}{6} *\dfrac{3}{2}[/tex]
[tex]\dashrightarrow \sf \dfrac{114}{12}[/tex]
[tex]\dashrightarrow \sf 9\dfrac{6}{12}[/tex]
solution 2
[tex]\dashrightarrow \sf 5\dfrac{2}{3} *\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf \dfrac{17}{3} *\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf 4\dfrac{3}{12}[/tex]
Answer:
Question 3) -- C -- 9 6/12
Question 4) -- C -- 4 3/12
Step-by-step explanation:
Hope this helps
Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 14.5 over 11.9 endfraction) = θ
The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
The missing information, not present in this question are:
Length of FG = |FG| = 14.5Length of FE = |FE| = 11.9Angle ∠GFE = θSince for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.
Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.
Thus, we get:
[tex]\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\[/tex]
Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ
Learn more about inverse trigonometric functions here:
https://brainly.com/question/12551115
Answer:
option B
Step-by-step explanation:
A classroom library has a 100 books. Half of the books are fiction. Of the books left, a tenth are about animals. How many animal books does the library contain?
Answer: 5
Answer:
5
Step-by-step explanation:
half of 10 is 50 on tenth of 50 is 5
Find the slope-intercept equation of the line
that passes through (4, -2) and has a slope of
-3.
a
-
Answer:
y = -3x + 10
Step-by-step explanation:
We write The slope-intercept equation of a line D Like this
D : y = mx+b (where m is the slope and p is the y-intercept)
__________________________
According to the given information:
The slope = -3
Then ,the equation of our line is : y = -3x + p
Now we need to find p:
Since The point (4, -2) lie on the line
then
-2 = -3(4) + p
then
-2 = -12 + p
then
p = 12 - 2 = 10
Conclusion:
y = -3x + 10
find x and y if (x-3, -6) and (4, x+y)
Answer:
See below ~
Step-by-step explanation:
Given
(x - 3, 6) = (4, x + y)Equating x coordinates to find the value of x
x - 3 = 4x = 7Equating y coordinates to find the value of y
6 = x + y6 = 7 + yy = -1Compare coordinates
x-3=4x=4+3x=7And
x+y=-6y=-6-xy=-6-7y=-13
Kim's cell phone plan costs $20.00 per month. She pays $0.10 for each text message. Which equation can be used to find the
monthly cost (C) of Kim's plan with n text messages?
A c= 20.00 +0.10n
Bc=20.00n +0.10
С
c=20.00n + 10
D = 20.00 + 10n
Answer:
the second option
Step-by-step explanation:
Wriite the product of 7 and a number w as an expression
7. An engineer is investigating three
engines for fuel efficiency. The table
below shows the results of the tests for
the three engines. Which option gives the
best fuel efficiency? Why?
IT'S A CONSTRUCTED RESPONSE!!!
PLEASE SOMEONE ANSWER ME!!!! :/
In order to calculate efficiency
Range ÷ FuelOption A
528 ÷ 24 = 22 mi/gal
Option B
690 ÷ 30 = 23 mi/gal
Option C
840 ÷ 42 = 20 mi/gal
Option B, gives the best fuel efficiency because the car can travel further using 1 gallons of fuel than others.
Pls help in 14
No idea
As you can see, the area of the scarf is equal to the area of the rectangle minus the area of the 2 semi-circles (which form a circle)
Now, we calculate the area of the rectangle : 28 x 15 = 420 in2
The diameter of the circle is 15in -> The radius = 15 : 2 = 7.5in.
We now find the area of the 2 semi-circles : 7.5 x 7.5 x 3.14 = 176.625 in2
So, the area of the scarf is : 420 - 176.625 = 243.375 in2
Jessiah has 6 more pencils than grace. miles has twice as many pencils as jessia. they have a total of 50 pencils together. how many pencils does each person have?
Answer:
Jessiah has 14 pencils
Miles has 28 pencils
Grace has 8 pencils
Step-by-step explanation:
I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve
Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,
j=g+6
m=2j
So m=2(g+6) or 2g+12
Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8
j=8+6, which is 14
m = 2(14), which is 28
Factor the algebraic expression.
25a+40=
Answer:
[tex]\Longrightarrow: \boxed{\sf{5(5a+8)}}[/tex]
Step-by-step explanation:
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC⇒ 5*5=25
⇒ 5*8=40
Rewrite the problem.
⇒ 5*5a+5*8
Solve.
Multiply.
⇒ 5*5a=25a
⇒ 5*8=40
Rewrite the expression.
⇒ = 25a+40
Therefore, the correct answer is 5(5a+8).I hope this helps! Let me know if you have any questions.
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Please help me answer this question.
Answer:
Step-by-step explanation:
The best way to see the answer to the question is to go the midpoint of AB.You will note that the midpoint of AB looks like T is slightly to the left of the midpoint and down.
Do the same thing with q. Add p and q the way 2 vectors would be added together. So AT is 1/2(p + q)
Starting at A draw 1/2 p. Maintaining the same angle for q, draw 1/2 q at the end of 1/2 p. Hence the answer is vector(AT ) = (1/2 p + 1/2 q)
Which are factors of 18? Check all that apply. 1 2 3 4 8
Answer:
1 2 3
Step-by-step explanation: 1 times 18, 2 times 9, 3 times 6
Match the equivalent parts of the circle:
Answer:
1) d
2) a
3) c
4) b
Step-by-step explanation:
Solve: 3(2x-5) +2x+3=1
Answer:
Step-by-step explanation:
3(2x-5) +2x+3=1 Distribute the 3
6x-15+2x+3=1 Combine like terms
8x-12=1 Add 12 to 1
8x=-12 Divide by 8
x=13/8
Answer:
x = [tex]\frac{13}{8}[/tex]
Step-by-step explanation:
3(2x - 5) + 2x + 3 = 1 ← distribute parenthesis and simplify left side
6x - 15 + 2x + 3 = 1
8x - 12 = 1 ( add 12 to both sides )
8x = 13 ( divide both sides by 8 )
x = [tex]\frac{13}{8}[/tex]
You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling a number less than 47
Write your answer as a percentage.
Answer:
as a non percent 3/6 or 50%
Step-by-step explanation:
A number less than 4 would be 1,2 and 3 so you have 3/6 die chance
Vs. 1,2,3,4,5,6 which are all under 47 so rolling a number like that would be 100% or 6/6
Point W has coordinates (4, -7). If it is reflected over the y -axis, what are the coordinates of its image?
A. (4, 7)
B. (-4, 7)
C. (4, -7)
D. (-4, -7)
Answer:
I thank it is D
Step-by-step explanation:
The sum of two numbers is 85. The second Number is four more than two times the first number. What are the two numbers?
Answer:
Step-by-step explanation:
x=first number; y=second number
x+y=85
y-4=2x
Solve-
y=85-x
(85-x)-4=2x
81=3x
x=27
Plug in-
(27)+y=85
y=58
Answer number 10 please thank you