Answer:
Step-by-step explanation:
For a first order decay, fraction remaining = 0.5n where n = number of half lives elapsed.
fraction remaining = 55% = 0.55
0.55 = 0.5n
log 0.55 = n log 0.5
-0.2596 = -0.301 n
n = 0.8625 = # of half lives elapsed
0.8625 half lives x 2.5 billion years/half live = 2.16 billion years have elapsed = age of the rock
b) 0.15 = 0.5n
log 0.15 = n log 0.5
-0.824 = -0.301 n
n = 2.74 half lives
2.5 billion years/half life x 2.74 half lives = 6.85 billion years = age of rock
(17-7)•6+2+56-8
Pemdas
[tex]\frac{r}{2}+\frac{s}{r} -\frac{r}{4}+\frac{1}{5},r=-1,s=0[/tex]
Answer:
-1/20
Step-by-step explanation:
r/2 + s/r - r/4 + 1/5 =
= -1/2 + 0/(-1) - (-1)/4 + 1/5
= -1/2 + 1/4 + 1/5
= -10/20 + 5/20 + 4/20
= -5/20 + 4/20
= -1/20
If a dozen paper clips weighs 9.6 g, and a pile of paper clips weigh 14.4 g, how many paper clips are in the pile
Answer:
18 paperclips are in the pile!
Step-by-step explanation:
We know that a dozen paperclips are equal to 9.6g, so we are going to divide 9.6 by 12 to figure out how much each paperclip weighs (0.8g). So we then divide 14.4 by 0.8 to figure out how many paperclips are in the pile! Hope this helps!
PLEASE HELP ASAP
Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?
Answer:
Step-by-step explanation:
Were you given answer choices? If so, please share them when you post your question.
The best way to improve the experimental probability would be to flip the coin more than 20 times; the more this is done, the better the estimate will be.
Find the midpoint of the line segment from (1,-1) to (2,4)
Answer: (1.5, 1.5)
Step-by-step explanation:
Classify the polygon. Then determine whether it appears to be regular or not regular. A. stargon; regular B. hexagon; not regular C. pentagon; not regular D. pentagon; regular
The scores of players on a golf team are shown on the table Celia-3 Janine 3 Sami 1 Ted 4 Travis 0 The team combined score was 0. What was Travis score?
His score would have to be -5:
-3 + 3 = 0
0 + 1 = 1
1 + 4 = 5
5 + (-5) = 0
So you know that the su of all the scores is 0.
The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.
if we sum those, we have : 3 - 3 + 4 + 1 + x = 0
and we get 5 + x = 0
then x= -5, so travis's score is -5 points.
A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?
Answer:
aₙ = 40*(1/2)ⁿ⁻¹
Step-by-step explanation:
As per graph we have:
a₁ = 40, a₂ = 20, a₃ = 10, a₄ = 5, a₅ = 2.5So the first term is 40 and common ratio is
20/40= 10/20 = 5/10 = 2.5/5 = 1/2Formula for nth term is:
aₙ = a₁rⁿ⁻¹aₙ = 40*(1/2)ⁿ⁻¹-2-5 is equivalent (equal) to -2+(-5)
True
False
Answer:
True
Step-by-step explanation:
Subtracting a number is identical to adding its opposite.
-2 -5 = -2 +(-5)
The statement is True.
_____
If you doubt this, you can have your calculator tell you what the answers are.
ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?
Answer:
Perimeter of A'B'C'D' = 9 units
Step-by-step explanation:
Given:
Perimeter of ABCD = 27 units
Scale factor = 1 / 3
Find:
Perimeter of A'B'C'D'
Computation:
Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]
Perimeter of A'B'C'D' = 1/3[27]
Perimeter of A'B'C'D' = 9 units
7. Which of the following is true?
1. For a pair of functions to be inverses, their compositions must be equal to 1.
2. In an inverse relation, coordinates of the ordered pairs are multiplied by 2.
3. An inverse of a function is always a function.
4. The horizontal line test is used to determine if a function's inverse will be a function.
Answer:
The horizontal line test is used to determine if a functions inverse will be a function. You will compose the functions (that is, plug x into one function, plug that function into the inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like: Determine algebraically whether f (x) = 3x – 2 and g(x) = (x + 2)/3 are inverses of each other.
Use the horizontal line test to determine if a function is a one-to-one function.
If ANY horizontal line intersects your original function in ONLY ONE location, your function will be a one-to-one function and its inverse will also be a function.
hope this helps
The horizontal line test is used to determine if a function's inverse will be a function is true. Correct option is 4.
1. This statement is not true. For a pair of functions to be inverses, their compositions (f(g(x)) and g(f(x))) must result in the identity function (1) for all values of x, not just for a specific value.
2. This statement is not true. In an inverse relation, the coordinates of the ordered pairs are swapped (x becomes y and y becomes x), not multiplied by 2.
3. This statement is not true. While many functions have inverses that are also functions, it is not a universal rule. Some functions may not have an inverse that is a function.
4. This statement is true. The horizontal line test is used to determine if a function has an inverse that is also a function. If a horizontal line intersects the graph of the function at more than one point, then the function does not have an inverse that is a function. However, if every horizontal line intersects the graph at most once, then the function does have an inverse that is a function.
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-(x+2)+6. anyone know how to solve it?
idk
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{-x+4}[/tex]
Step-by-step explanation:
[tex]-(x+2)+6[/tex]
Distributing the negative sign to the terms in the bracket.
[tex]-x-2+6[/tex]
Combining like terms.
[tex]-x+4[/tex]
find the probability of Rolling a number greater than or equal to 4 on a standard die
Answer:
P(E)=1/2
Step-by-step explanation:
Total numbers=6
Numbers greater than or equal to 4= 3(4,5,6)
P(E)= favourable outcomes/total outcomes
P(E)=3/6
=1/2
Answer:
4/6
Step-by-step explanation:
probability of rolling a num greater than or equal to 4 = 4/6
=2/3
Write 5 times x to the two thirds power in radical form.
Suppose an angle has a measure of x degrees. What is the measure of the angle that is five times as large as the first angle? If the two angles are supplementary, what equation can you write using the measures of the angles? What are the measures of the two angles?
Step-by-step explanation:
x+5x=180
6x=180
x=30
and 5x=150
Answer:
Solution given:
let angle be a and 5x
since sum of two angles are supplement
so
equation becomes
a+5a=180
now
solving it
6a=180
a=180/6
a=30
and 5a=5×30=150
required angles are 50 and 130.
find sin60 A.1/2 B.2/2 C.3/2
Answer: [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
To find sin(60), you need to know the unit circle. Sin(60) is the same as sin(π/3). On the unit circle, sin(π/3) is √3/2. We know this because the coordinates are (cos, sin). Sin is the y coordinate.
Answer:
[tex]\huge\boxed{\sin60^o=\dfrac{\sqrt3}{2}}[/tex]
Step-by-step explanation:
Let's take a right triangle with acute angles 30° and 60°.
We know that the ratio of the sides of such a triangle is 2 : 1 : √3
(look at the picture)
We know:
[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]
In this triangle we have:
[tex]opposite=a\sqrt3\\hypotenuse=2a[/tex]
Substitute:
[tex]\sin60^o=\dfrac{a\sqrt3}{2a}[/tex] cancel a
[tex]\sin60^o=\dfrac{\sqrt3}{2}[/tex]
Hi. I'm needing help with Graphing refelctions across the Y-Axis. f(x) = 1.5(0.5)
Answer:
g(x) is the reflection of f(x) over the y-axis.
hope it helps
Answer:
step 1: g(x) = 1.5(0.5)^-x
step 2: g(0) = 1.5
step 3: plot points on graph
step 4: g(1) = 3 g(-1) = .75
step 5: Plot the points
step 6: y=0
step 7: The smooth curve includes these points
Step-by-step explanation:
Just took this on edge 2021
Scenario: You are headed to New Orleans to visit a friend. You
just got your driver's license and your parents are very strict -
they won't let you drive over 50 miles per hour. When you tell
your friend the bad news, they insist on getting on their bicycle
and coming to meet you somewhere in the middle.
They aren't
very fast on their bicycle, but your friend can travel a solid 10
miles per hour.
Question: Where will y'all meet up?
Answer:
you want a specific place as an answer? or the mileage?
( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )
( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )
Simplify the expression.
53 n
Answer:
The simplified solution to this expression is 5n⁴ + 11n³
Step-by-step explanation:
(5n³ + n⁴ - 5) - (-5 - 6n³ - 4n⁴)
Distribute the negative sign to (-5 - 6n³ - 4n⁴)
5n³ + n⁴ - 5 + 5 + 6n³ + 4n⁴
Group like terms.
(4n⁴ + n⁴) + (6n³ + 5n³) + (-5 + 5)
Combine like terms.
5n⁴ + 11n³
Question 1 of 10
Sam studied the effects of exercise on short-term memory. Which of these is
a response variable?
A. Exercise
B. Short-term memory
C. Neither exercise nor short-term memory
O D. Both exercise and short-term memory
Answer:
B. Short-term memory
Step-by-step explanation:
Response variable is a dependent variable. It is dependent on the explanatory variable that is referred to as the independent variable.
In research study, the response variable is what is usually measured by the researcher. In the case given above, short-term memory is the response variable, which is dependent on exercise.
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B) C=3.14(2r)
Step-by-step explanation:
Circumference of a circle= 2πr
radius=6 feet
Diameter= 2r
=2*6
=12 feet
π= 3.14
C= 2πr
= 2 * 3.14 * r
= 3.14 * 2 * r
C= 3.14 (2r)
Kierran should use the formula C= 3.14 (2r) to find the circumstance of the circle
Option B is the correct answer
C= 3.14 (2r)
= 3.14 * 2 * 6
= 37.68 eet
Describe the type of solution for the given system of linear equations.
x + 4y = 7
8y = 14 - 20
a. infinite solutions
b. two solutions
c. no solution
d. one solution
Answer:
B
Step-by-step explanation:
3. Ann wants to paste 18 posters on her bedroom wall. She wants to put the same
number of posters in each row. How many rows could Ann make, 4.5, 9 or 10?
Answer:
9
Step-by-step explanation:
18÷2=9
So, Ann could have 9 rows of posters with 2 posters in each row.
Express the pair of fraction using the least common denominator of the two 3/8,7/10
Answer:
Step-by-step explanation:
3/8 x 5/5 = 15/40
7/10 x 4/4 = 28/40
15/40, 28/40
The least common denominator of the two pairs of fractions is 15/40 are 28/40. which is the correct answer would be an option (A).
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the least common denominator of the two pairs of fractions.
The fractions are 3/8, and 7/10
⇒ 3/8
Multiply by 5/5 in the fraction,
⇒ 3/8 × 5/5 = 15/40
⇒ 7/10
Multiply by 4/4 in the fraction,
⇒ 7/10 × 4/4 = 28/40
Therefore, the least common denominator of the two pairs of fractions is 15/40 are 28/40
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What is the solution for this inequality?
-10x < 40
Answer:
Step-by-step explanation:
-10x < 40
x > -4
The base of o rectangle is triple the height
The height is 35 What is the base?
Write a algebraic expression and evaluate
Answer:
105 units
Step-by-step explanation:
Height of rectangle = 35 units
Since, base of o rectangle is triple the height.
Therefore, base of rectangle = 3*35 = 105 units
Another way:
h = 35 (given)
b = 3h
b = 3*35 (Plug h = 35)
b = 105 units
You go down 9 floors in an elevator. How would you write the integer?
Answer:
-9
Step-by-step explanation:
Going down= negative
Answer:
u write negative 9
Step-by-step explanation:
the ratio of peanuts to raisins in a snack mix is 5:4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag?
Number of raisins in the bag is 160 raisins
Given that;
Ratio of peanuts to raisins = 5:4
Bag of the snack mix contains = 200 peanuts
Find:
Number of raisins in the bag
Computation:
Number of raisins in the bag = 4[200/5]
Number of raisins in the bag = 4[40]
Number of raisins in the bag = 160 raisins
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Question 4 (1 point)
Given the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5)
B = {1, 3, 5, 7}
How many elements are in A n B?
Answer:
pretty sure its A n B = {1,5}
Step-by-step explanation:
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments parallel?
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
For K = 5.3, the line segments are parallel.
We have endpoints of segment MN have coordinates (0, 0), (5, 1) and endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).
We have to determine the value of k that makes these segments parallel.
What is the condition for the lines to be parallel?For lines to be parallel - slope of line 1 should be equal to slope of line 2.
m(1) = m(2)
According to question, we have -
Coordinates of M = (0, 0)
Coordinates of N = (5, 1)
Therefore, the slope of line MN = [tex]\frac{1 -0}{5-0}[/tex] = 1/5
Coordinates of A = (11/2, 21/4)
Coordinates of B = (-21/4, k)
Therefore, the slope of line AB =
[tex]$\frac{k -\frac{21}{4} }{\frac{-21}{4} -\frac{11}{2} }[/tex] = [tex]$\frac{k - \frac{21}{4} }{\frac{1}{4} }[/tex] = [tex]$\frac{\frac{4k - 21}{4} }{\frac{1}{4} }[/tex] = 4k -21
Now, for the lines to be parallel -
m(MN) = M(AB)
4k - 21 = [tex]\frac{1}{5}[/tex]
5(4k - 21) = 1
20k - 105 = 1
20k = 106
k = 5.3
Hence, for K = 5.3, the line segments are parallel.
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