Answer:
t = 8588 years
Step-by-step explanation:
From the given information:
Using the formula:
[tex]k = \dfrac{In (2)}{t_{1/2}}[/tex]
Given that:
[tex]t_{1/2}[/tex] = 5730 years
Then:
[tex]k = \dfrac{In (2)}{5730}[/tex]
[tex]k = \dfrac{0.6931472}{5730}[/tex]
k = 1.20968 × 10⁻⁴
However; the expression to find the value of x is:
[tex]x= x_oe^{-kt}[/tex]
[tex]4.6 \times 10^{-13} = 1.3 \times 10^{-12} \times e^{(-1.20968\times 10^{-4} \times t)}[/tex]
[tex]\dfrac{4.6 \times 10^{-13} }{1.3 \times 10^{-12}}= e^{(-1.20968\times 10^{-4} \times t)}[/tex]
[tex]0.353846= e^{(-1.20968\times 10^{-4} \times t)}[/tex]
(-1.20968 × 10⁻⁴ × t) = In(0.353846)
(-1.20968 × 10⁻⁴ × t) = -1.03889
[tex]t = \dfrac{-1.03889}{-1.20968 \times 10^{-4}}[/tex]
t = 8588 years
One palm tree is located at (−2 1/2, −2). The other palm tree is a reflection of point T across the x-axis. What are the coordinates of point R?
Answer:
-2.5, 2
Step-by-step explanation:
When you reflect across the x axis you have to flip the sign of the y coordinate. When you reflect across the x axis you have to flip the sign of the x coordinate.
Answer:
(−2 1/2, 2)
Step-by-step explanation:
Since, one palm tree is located at (−2 1/2, −2). The other palm tree is a reflection of point T across the x-axis.
Therefore, for other palm tree x- coordinate will remain same and y-coordinate will flip over x- axis to become positive.
Thus, the coordinates of point R would be (−2 1/2, 2)
Help im so confused!!!
Evaluate m + n – l when m = –8, n = 2, and l = –3. –9 –3 –1 7
Answer: -38
Step-by-step explanation:
First, plug in the numbers.
-8 +2 -3-9-3-17
Then solve.
-38
Answer: -3
Step-by-step explanation:
Basically the letters represent numbers, example: M = 3, meaning M stands for 3. So here, it's m = -8, n= 2, and l = -3.
-8 + 2 +-3 = -3!
Hope this helped :)
PLEASE HELP
Solve for x. Round your answer to 2 decimal places.
A right triangle is shown with the hypotenuse labeled x. One angle has a measure of thirty two degrees, and the opposite leg has a length of seven.
3.71
13.21
5.94
8.25
Answer:
13.21
Step-by-step explanation:
sin(32)=7 / X
multiply both sides by X
then divide both sides by sin(32)
solve for X= 7 / sin(32)
X = 13.21
Blanca creates decorative wall hangings. She wants to look at the relationship between the diagonal length of the hangings and their weight. The data show a linear pattern with the summary statistics shown below: standard deviation = diagonal length (inches) 7 = 24.1 = 12 y = weight (pounds) y = 12.9 S = 16.2 0.0 Find the equation of the least-squares regression line for predicting the weight of the wall hanging from its diagonal length. Round your entries to the nearest hundredth
Answer: y=-16.38+1.22x
Step-by-step explanation:
Answer:y=-16.38+1.22x
Step-by-step explanation:
PLEASE HELP QUICKLY!!!!
Which two events have the same probability?
P(gray), P(green)
P(red), P(gray)
P(gray), P(purple)
P(yellow), P(gray)
Answer:
P (gray), P (green)
Step-by-step explanation:
i just put this in my test and got a 100 !
Answer:
Its P(gray), P(green) or A
Step-by-step explanation:
Sometimes edge switches the answers around so just look for "P(gray), P(green)"
Please give me brainliest!
Edge 2021
i’ll give brainliest
Answer:
Verticle stretch
Step-by-step explanation:
it is vetically stretched by 2.
The elves have made 40% of the 200 presents needed for the town of maples. How many more gifts do they need to make
Answer:
The elves need to make 120 more gifts.
Step-by-step explanation:
First you need to multiply 200 by .40 which gives you 80. 80 is the number of gifts the elves have made so far, so next you need subtract 80 from 200 (200-80) which gives you the answer of 120 gifts the elves have left to make.
Help me with dis lol Il give brainlest
Answer: well there are 2 zeros in the number on the left so thats why the decimal would be there
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
You can never divide by a decimal (have the decimal as the divisor)
Question 4. Use the given information to write a linear equation in point-slope form: y-y1=m(x-x1).
slope m= 3, point:(5,10)
Answer:
y = 3 (x - 7)
But it can be written as
(y - 0) = 3 (x - 7)
comparing this equation with
we get
Therefore, Harold used the point (7, 0)
Step-by-step explanation:
Answer:
The linear equation in point-slope form is
y-10 = 3(x-5)
Step-by-step explanation:
Given
slope = m = 3point (5, 10)We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, y₁) is the point
substituting the values m = 3 and the point (5, 10)
y-10 = 3(x-5)
Thus, the linear equation in point-slope form is
y-10 = 3(x-5)pls help will give brainliest
Answer:
3/4
Step-by-step explanation:
Through(3,8); parallel to f(x)= 4x-2
in the diagram below, line segment AB is drawn. Point A has been mapped to image point A' by the use of a translation.
a. B'(9,-1)
b. AB is parallel to A'B'
Explanation
a. Coordinate of A is (-5,2) and it is translated 6 units right and 3 units up (x+6, y+3).
Now A'(-5+6, 2+3) = A' (1,5)
Thus B's coordinate is (3,-4) and it is also translated in the same direction as A.
Now, B' (3+6, -4+3) = B'(9, -1)
Therefore, the translated point is A'(1,5) and B'(9,-1)
b. AB is parallel to A'B', Because the line segment obtained by translation is parallel to the original segment.
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point. Any translation in a Euclidean space is an isometry.To learn more about translation, refer to https://brainly.com/question/1046778
#SPJ1
please it is timed will give 30 points
Answer:
36 units squared
Step-by-step explanation:
Since this is kind of a weird shape, we can split it into two smaller shapes, a triangle, and a rectangle.
The rectangle is 6 units wide, and 4 units long. Multiply the length and width to get 24 units squared.
The triangle has a base of 6 and a height of 4, so multiply the base and height, then divide by 2. 6 times 4 is 24 and that divided by 2 is 12.
Finally add the two areas together. 24+12=36 units squared.
Answer:
36
Step-by-step explanation:
Since the two triangles on the bottom are the same, we can flip one of them over onto the other, and they will make a square. Then the top rectangle is 24, and the bottom new square would be 12 and 24 plus 12 is 36
Ronald invirtio algun dinero al 5% y $500 mas que la otrq cantidad al 7%. El interes total anual devengado fue de $215 (Cuanto invirtio con el 5%)
Answer: 23.08
Step-by-step explanation:
Question: What is the complementary angel of 31 degrees?
A.97
B.67
C.57
D.87
Giving free brainliely if you do this
10. *
If f(x) = 2(36) + 1, what is the value of f(2)?
PLEASE SOLVE FOR X
x^4-5x^2+4=0
Answer:
x = 4 and x = -4
x = 1 and x = -1
Step-by-step explanation:
let u = x^2
Then,
u^2-5u+4 = 0
(u - 4)(u - 1) = 0
u = 4 and u = 1
we substitute back for u
Then,
x^2 = 4
x = 4 and x = -4
x^2 = 1
x = 1 and x = -1
The solutions to the equation x⁴ - 5x² + 4 = 0 are x = ±2 and x = ±1.
To solve the equation x⁴ - 5x² + 4 = 0, we can use substitution to simplify it.
Let's take a new variable, u = x².
Substituting u into the equation, we get:
u² - 5u + 4 = 0
Now, we can factor this quadratic equation:
(u - 4)(u - 1) = 0
Setting each factor equal to zero, we have:
u - 4 = 0 or u - 1 = 0
Solving for u in each case:
u = 4 or u = 1
Now, we substitute back the original variable x:
For u = 4:
x² = 4
Taking the square root of both sides:
x = ±2
For u = 1:
x² = 1
Taking the square root of both sides:
x = ±1
Therefore, the solutions to the equation x⁴ - 5x² + 4 = 0 are x = ±2 and x = ±1.
Learn more about quadratic function here:
brainly.com/question/14083225
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if it takes 4 gallons of gas to drive 92 miles how many miles can be driven using 6 gallons
Answer:
138
Step-by-step explanation:
as 92÷4 = 23 and 23x6 = 148
Answer:
138 Miles on 6 gallons of gas
Step-by-step explanation:
First you have to divide 92 by 4 which equals 23 you then have to multiply 6 by 23 which equals 138.
Brainliest?
Thank you!Plssss help
According to a personal trainer's study, the equation yˆ=8.6067x+116.6567 models the average number of calories burned by a 160 lb individual, where x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.
According to this regression equation, what is the approximate calories burned for an individual who spent 30 minutes weight lifting?
Answer:
An individual who spent 30 minutes weight lifting will burn approximately 142.4768 calories.
Step-by-step explanation:
Given;
yˆ = 8.6067x + 116.6567 ............................... (1)
Where;
yˆ = The average number of calories burned by a 160 lb individual
x = Amount of time spent weight lifting
Since x is amount of time spent weight lifting, this implies that for an individual who spent 30 minutes weight lifting, x = 30
Substituting x = 30 into equation (1), we have:
yˆ = (8.6067 * 30) + 116.6567
yˆ = 25.8201 + 116.6567
yˆ = 142.4768
Therefore, an individual who spent 30 minutes weight lifting will burn approximately 142.4768 calories.
40 POINTS HELP ME PLEASE
Answer:
Step-by-step explanation:
The first option is false because the minimum is y = -8 or more, based on the table.
The second option is false because the intervals decrease until y = 2.
The third option is true because the intervals decrease from x = -3 to x = 2 then is the same from x = 1 to x = 3 then increases from x = 3 to x = 5.
The four option is false because based on the table the function has a maximum of y = 16 or more.
The fifth option is false based on the table.
The sixth option is true because if we start at (0,0) and move to the left or x = -infinity, the y-values increase. When we start from (0,0) and move to the right x = infinite, the y-values increase.
The seventh option is false.
The eighth option is true based on the third option.
The last option is true based on the table.
It takes Neil and Spencer the same amount of time to ride their bikes to school each day, though Neil lives farther away. This Saturday, they plan to study together at the library, which is the same distance from both of their houses. If their average speeds are consistent, who will get to the library in less time?
Answer:
they will get there at the same time
Answer:
Neil
Step-by-step explanation:
If Neil lives farther away from the school than Spencer but can get there in the same amount of time, Niel is a faster biker than Spencer. So if they are going the same distance, Niel will get there faster.
Yesterday, there were 80 problems assigned for Math homework. Charles got 32 out of 80 problems correct. What percentage of questions did Charles get correct?
Answer:
I wish I can help you but I dont know the answer :((
Step-by-step explanation:
I wish I can help you but I dont know the answer :((
Answer:
40%
Step-by-step explanation:
32/80 = .4
.4x100=40%
Which quadratic equation has roots - 2 and 1/5 :
Answer:
[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]
Step-by-step explanation:
[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]
Heather opened a lemonade stand on her street. It costs her $5.25 to buy the supplies each day, and she sells lemonade for $1.50 a cup. If she wants to make at least $100.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Heather needs to sell? Input your answer as a whole number.
Answer:
around 66.66
Step-by-step explanation:
hope this helps
Answer:
70 cups
Step-by-step explanation:
C. P. of lemonade supplies = $5.25
S. P. of one cup of lemonade = $1.50
Let us assume that she should sell n cups of lemonade to make a profit of $100.00.
Therefore, S. P of n cups = $1.50n
Since,
Profit = S. P. - C. P.
Therefore,
100 = 1.5n - 5.25
100 + 5.25 = 1.5n
105.25 = 1.5n
n = 105.25/1.5
n = 70.1666667
n = 70 cups
select the correct anwser from each drop down menu
in this graph the y intercept of the line is
the equation of the line is y=
Answer: -2=y
Step-by-step explanation:
Answer:
2-y
Step-by-step explanation:
calculate the angles of a triangle if the angle alpha is 16 ° greater than the angle beta and the angle gamma is 52 ° smaller than the beta GIVING BRANLIEST***
Answer:
88°, 72°, 20°Step-by-step explanation:
Angle alpha is 16° greater than the angle beta:
α = β + 16°Angle gamma is 52° smaller than the beta:
γ = β - 52Sum of angles is 180°, substitute α and β:
α + β + γ = 180°β + 16° + β + β - 52° = 180°3β - 36° = 180°3β = 216°β = 216°/3β = 72°Then
α = 72° + 16° = 88°γ = 72° - 52° = 20°Solve the equation. Then check your solution.
X-4 = 2
a. -6
b. 6
C. 7
d. -2
Answer:
x-4=2
x=2+4
x=6 is the answer
the equation (m^5/6) (m^1/6) ^7 =m^x what is the value of x that makes the equation true?
Answer:
2
Step-by-step explanation:
We have the equation
[tex]m^{5/6}(m^{1/6})^7=m^x[/tex]
The exponent rules to be used are
[tex]a^x\times a^y=a^{x+y}[/tex]
[tex](a^{x})^y=a^{xy}[/tex]
[tex]m^{5/6}(m)^{7/6}=m^x\\\Rightarrow m^{\dfrac{5}{6}+\dfrac{7}{6}}=m^x\\\Rightarrow m^{\dfrac{5+7}{6}}=m^x\\\Rightarrow m^{\dfrac{12}{6}}=m^x\\\Rightarrow m^{2}=m^x[/tex]
Comparing the exponents we get
[tex]x=2[/tex]
So, the value of [tex]x=2[/tex] makes the equation true.
What is the best description of the translation of pre-image ABC to image ABC?
A'BC
Answer:
4 units to the right and 2 units up
Step-by-step explanation:
counted the lines ;)
hope this helps ya
