Answers
Since the half-life is 35 days, to figure out how many half-lives to go through, you diving 105 (the number of days total), by 35 (the number of days in a half-life). This gives us 3.
Now, you divide the base number (816 grams) in half. You do this the number of times we got earlier (in this case, three times.)
And that leaves us with 102 grams.
I hope this helps!
Related Questions
Carl borroowed $2,500 for six months at an annual interest rate
of 11%. How much must he repay at the end of six months?
a. $275
b. $2,637.50
c. $87.50
d. $2,762.50
Answers
I hope I helped!
Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
Answers
24% * 24 = 0.24 * 24 = 5.76
We got a decimal number as solution. The reason why exactly 24% students can't be in the play is because this percentage does not represent whole number of students. She can't take 0.76 students
If she wanted 25% students to be in a play it would mean she has to take:
25% * 24 = 0.25 *24 = 6 students
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
these equations must be for pre-algerbra
Answers
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
Answer:
One step equations
3 + x = 5 ___x = 2
Y + 14 = 20____x = 6
Equations with Fractions
4/5q = 32___q = 40
3/4x = 6___x = 8
Equation with decimals
3.2x – 2.7 = 1.2x___x = 1.35
Equation with distributive Property
7x + 3 (x + 1) = 10x + 3
Infinitely Many solutions
Real World Problem
Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?
Hope This Helps!
[tex]y = - x + 10 \\ y = x + 2[/tex]
Answers
-x + 10 = x + 2 add x to both sides.
10 = x + x + 2
10 = 2x + 2 Subtract 2 from both sides.
8 = 2x Divide by 2
x = 8/2
x = 4
Now solve for y
y = x + 2
y = 4 + 2
y = 6
Use the other equation to check it.
y = - x + 10
y = -4 + 10
y = 6
Which transformations are rotations?
Choose all answers that are correct.
Answers
^ please help me____________
Answers
The two numbers that satisfy the condition quadratics have is
1. They must add to 6
2, They must multiply to - 16
All quadratics have to satisfy these two things.
The only numbers that will are 8 and - 2
So the factors are
(x - 8)(x + 2) = 0
x - 8 = 0
x = 8
and
x + 2 = 0
x = - 2
Logan can paint a room in 12 hours. Marcus can paint the same room in 16 hours. How long does it take for both Logan and Marcus to paint the room if they are working together?
Answers
The answer should be "4".
Reason:
Since Logan takes 12 hours and Marcus takes 16 i just subtract 16 and 12.
16-14=4
=4 hours
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent variable when the independent variable is equal to 2?
Answers
Final answer:
To find the value of the dependent variable, we use the point-slope form of the linear equation. Using the given slope of 5 and point (-7, 5), we first find the y-intercept to be 40. We then calculate the dependent variable's value to be 50 when the independent variable is 2.
Explanation:
The student has asked about the value of the dependent variable when the independent variable is 2 for a given linear function that has a slope of 5, and passes through the point (–7, 5). To find this value, one should use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, using the given point (–7, 5), we can find the y-intercept by substituting the slope and point into the equation:
y = 5x + b
5 = 5(-7) + b
b = 5 + 35
b = 40
So the equation of the line is y = 5x + 40. Now, to find the value of y when x is 2:
y = 5(2) + 40
y = 10 + 40
y = 50
Therefore, the value of the dependent variable when the independent variable is 2 is 50.
what is x in the equation
4(x+6)= 5(x+9)+4x?
Answers
4(x + 6) = 5( x + 9) + 4x
We wanna start with the distributive property
(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x
4x + 24 = 5x + 45 + 4x
4x + 24 = 9x + 45
Subtract 24 on both sides
4x + 24 - 24 = 9x + 45 - 24
4x = 9x + 21
Subtract 9x on both sides
4x - 9x = 9x + 21 - 9x
-5x = 21
Divide both sides by -5
-5x/-5 = 21/-5
x = -21/5
What is the value of n?
Enter your answer in the box.
n =
Answers
Answer:
The value of n is 4.
Step-by-step explanation:
Theorem of intersection of two cords : If two cords AB and CD intersecting at point P, then
[tex]|AP|\times |PB|=|CP|\times |PD|[/tex]
Using the theorem of intersection of two cords, we get
[tex](n-2)\times 16=8\times (n+8)[/tex]
Use distribution property,
[tex]16n+32=8n+64[/tex]
[tex]16n-8n=64-32[/tex]
[tex]8n=32[/tex]
Divide both sides by 8.
[tex]n=\frac{32}{8}[/tex]
[tex]n=4[/tex]
Therefore the value of n is 4.
You are an accountant doing an audit for a law firm. A paralegal worked for a client for 5 hours per day for 3 days. The client was billed $50 per hour, and the paralegal was paid $30 per hour. After the paralegal’s wages were paid, what was the amount made by the law firm?
Answers
Amount collected = 50 x 15 = $750
Amount paid to the paralegal = 30 x 15 = $450
Amount made by the firm = 750 - 450 = $300
Multiple Choice
For questions 1–7, choose the word or phrase that best defines the italicized word.
1. "Only reapers reaping early/In among the bearded barley…" (1 point)
people who toil
people who obey
people who
Answers
Answer:
people who toil
Step-by-step explanation:
The above lines have been taken from the poem "The Lady of Shalott" written by Alfred, Lord Tennyson. The poem is about the mysterious Lady of Shalott who lives on the Island of Shalott. People who wanted to see her have never got the opportunity to see her. On the other hand, the people who work in the fields have listened to her singing an eerie song. The song which the lady sings echoes all over the river Camelot.
The temperature of a cup of coffee t minutes after it has been poured is described by the function
C(t) = 20 + 60(0.95)^t .
a. How many minutes does it take for the coffee to cool to a temperature of d degrees?
b. About how fast is the temperature dropping when t = 1?
Answers
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)
b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min
Please help! Picture included!!!
In the figure below, triangle ABC is similar to triangle PQR.
What is the length of PQ?
A)18
B)4
C)32
D)6
Answers
24/8 = 3
So
6x 3 = 18
Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes. What is Sean’s average typing speed in words per minute, WPM, to the nearest whole number? *** Answer with number only***'
Answers
solve - 2 x 3 + 22 - 8 - 2 =
in a exponent 3 + 3 + 3 + 3 + 3
Answers
-6 + 12 =
6
3 + 3 + 3 + 3 + 3 = 15
3 x 3 x 3 x 3 x 3 = 3^5 (because there are 5 threes multiplied together)
-2x^3 + 22 - 8 - 2 =
-2x^3 + 12
hope this helps
6 + 22 = 28
28 - 8 = 20
20 - 2 = 18
3 + 3 + 3 + 3 + 3 as a exponent is [tex]3^{5} [/tex]
Because it says 3 5 times!
Hope this helped!
Select the scenarios that correctly represent the given graph.
Answers
The graph shown is an exponential graph. From the first point to the second, it increase from 100 to 150. This is a 50% increase. This pattern continues throughout the chart.
The first two choices give an increase of 50%. Or 1.5 times larger.
Answer:
The correct options are 1 and 2.
Step-by-step explanation:
From the given graph it is clear that it is a graph of an exponential function and the graph passes through the points (0,100) and (1,150).
The general form of an exponential function is
[tex]y=ab^x[/tex] .... (1)
Where, a is the initial value and b is growth rate.
The initial value is 100 because the y-intercept of the graph is 100.
The graph passes through (1,150). Put y=150, a=100 and x=1 in the above formula to find the value of b.
[tex]150=100b^1[/tex]
Divide both the sides by 100.
[tex]1.5=b[/tex]
The value of b is 1.5.
Substitute a=100 and b=1.5 in equation (1).
[tex]y=100(1.5)^x[/tex]
It means the value is 1.5 times larger in every unit of time.
It can be written as
[tex]y=100(1+0.5)^x[/tex]
It means the initial value increased by 50% per unit of time.
So, the required scenarios are
1. The amount of money in a bank account increased by 505 per year.
2. The amount of a substance is one and a half times larger after every minute.
Therefore the correct options are 1 and 2.
Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.
Answers
In order to solve this problem, we need to simplify.
2 * 3x - 2 * 4 = 5x + 6
6x - 8 = 5x + 6
-8 = -x + 6
8 = x - 6
14 = x
x = 14
Charlie's answer was not stated, so I don't know whether he was correct or not ;)
Hope this helps!
A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measures correspond to the length to the laddder? Round to the nearest hundredth
Answers
When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem: [tex] a^{2} + b^{2} = c^{2} [/tex]
A = 20
B= 4
C = ?
This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40[tex] ft^{2} [/tex]
Answer:
20.40
Step-by-step explanation:
Test Yourself
Factor completely 3x(x + 2) + 4(x + 2). (1 point)
(x + 2)(7x)Prime
(x + 2)(3x + 4)
(x + 2)(12x)
Answers
ANSWER
[tex](x + 2)(3x + 4)[/tex]
EXPLANATION
The given expression is
[tex]3x(x + 2) + 4(x + 2)[/tex]
We can see that (x+2) is the greatest common factor.
We factor to obtain;
[tex](x + 2)( 3x + 4)[/tex]
The correct choice is C.
Answer:
(x + 2) (3x + 4)
Step-by-step explanation:
I got it correct on my test
Could I get the answer, all work and explanation for this problem?
Answers
[tex] = \sqrt{25 \times 2 \times y^2 \times y \times x^{14} \times x} [/tex]
[tex] = 5|x^7y|\sqrt{2xy} [/tex]
A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasia's ownership percentage after the split?
Answers
Answer:
2%
Step-by-step explanation:
A P E X
If (3x + 17) is equivalent to (4x - 8) what is x
Answers
3x + 17 = 4x - 8
3x (-4x) + 17 (-17) = 4x (-4x) - 8 (-17)
-x = -8 - 17
-x = -25
-x(/-1) = -25(/-1)
x = 25
25 is your answer
hope this helps
At the Roadside Restaurant, each milkshake comes with 2 straws.
Which equation shows the number of straws the restaurant will use if they serve m milkshakes?
Use t to represent the total number of straws used and m to represent the number of milkshakes served.
A.
t = 2m
B.
t = 2 + m
C.
t = 2 – m
D.
t =
Answers
If you need more help, let me know!
Hope this helps! :-)
what does a^2+b^2=C^2 mean
Answers
The equation a² + b² = c² represents the Pythagorean theorem, which describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. For example, in a triangle with legs of 3 and 4 units, the hypotenuse would be 5 units.
The equation a² + b² = c² represents the Pythagorean theorem in mathematics. This theorem is used to describe the relationship between the lengths of the sides of a right triangle.
Pythagorean Theorem
In a right triangle:
a and b are the lengths of the legs (the two sides that form the right angle).
c is the length of the hypotenuse (the side opposite the right angle).
The theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides:
a² + b² = c²
This can also be expressed as c = √(a² + b²).
For example, if one leg of the triangle is 3 units and the other leg is 4 units, you can find the hypotenuse as follows:
3² + 4² = c²9 + 16 = 25c = √25 = 5Question:
what does a^2+b^2=C^2 formula mean ?
part one: How do you solve a system of equations approximately using graphs and tables?
part 2: A lake has a native population of 1,000 frogs. The native frog population increases at a rate of 200 frogs per year. A new species of 10 frogs migrates to the lake. This new species’ population increases at a rate of 50% per year. When will the two populations equal each other? Select to reveal each frog population’s growth model.
the rest: A system of equations can be created with the two functions to determine when the populations will have the same population output value, y.
y = 200x + 1,000
y = 10(1.5x)
To determine when the populations will be equal, set the equations equal to each other, and solve for x.
200x + 1,000 = 10(1.5x)
This equation is a little more challenging to solve by algebraic methods. In this lesson, you will solve systems of equations like the one above approximately by effectively using technology and tables.
Answers
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
How do I find x in this triangle?
Answers
In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 60 pound weight if the bar is 24 feet long?
A) 9
B) 15
C) 12
Answers
Answer:
15 feet
Step-by-step explanation:
Given : In this fulcrum, the weights are perfectly balanced.
To Find: How far must the fulcrum be located from the 60 pound weight if the bar is 24 feet long?
Solution:
To make the weights perfectly balanced torque must be equal
[tex]Torque = Force \times d[/tex]
Where [tex]Force = Mass \times Acceleration[/tex]
Let a be the acceleration
d= Distance between the pivot and the acting point.
Let x be the distance from 60 pound weight where fulcrum is located
Since we are given that Length of bar = 24 feet.
So,Distance of fulcrum from 100 pound weight = 24-x
Now torque for 60 pound weight :
[tex]Torque = 60a \times x[/tex]
Now torque for 100 pound weight.
[tex]Torque =100a \times (24-x)[/tex]
Now to maintain the equilibrium i.e. To make the weights perfectly balanced
[tex]60a \times x =100a \times (24-x)[/tex]
[tex]60x = 2400-100x[/tex]
[tex]160x = 2400[/tex]
[tex]x = \frac{2400}{160}[/tex]
[tex]x = 15[/tex]
Hence The fulcrum must be located 15 feet from the 60 pound weight if the bar is 24 feet long.
Answer:
15
Step-by-step explanation:
my sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so much for taking the time :) v
Felicity recorded the number of laps she swam each month for 7 months.Her data is shown.
112,134,150,98,120,68,116
Which is the mean absolute deviation to the nearest whole number of Felicity's lap data?
A.16
B.18
C.20
D.36
Answers
Answer C
to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n
where x is each term given in data set
n is number of terms = 7
mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114
now find (∑|x-mean|) = 138
MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20
Calculate the altitude of a triangle corresponding to its shortest side of it's area is 720cm², perimeter is 180cm and two of its sides are 80cm and 18cm.
Answers
altitude = 80 cm
Explanation:
1- getting the third side:
We are given that:
perimeter of the triangle is 180 cm
Two of its sides are 80 cm and 18 cm
This means that:
180 = 80 + 18 + third side
third side = 180 - (80+18)
third side = 82 cm
2- deducing the shortest side that we will use to get the altitude:
We have the three sides of the triangle 80 cm, 18 cm and 82 cm
It is obvious that the shortest side is 18 cm
We will use this side to calculate the altitude since we are given that the altitude corresponds to the shortest side.
3- getting the altitude:
area of triangle = 0.5 * base * altitude
We have:
area of triangle = 720 cm²
base = 18 cm
Substitute to get the altitude as follows:
720 = 0.5 * 18 * altitude
720 = 9*altitude
altitude = 80 cm
Hope this helps :)