Wheres the ? n answers at for #3 n #4
The amount of a radioactive substance remaining after t years is given by the function f(t) = m(0.5)", where m is the
initial mass and h is the half-life in years. Cobalt-60 has a half-life of about 5.3 years. Which equation gives the
mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain?
Using an exponential function, it is found that the equation is:
[tex]f(1.8868) = 60(0.5)^{1.8868}[/tex]
Which means that approximately 16.22 mg remain.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the equation is:
[tex]f(h) = m(0.5)^h[/tex]
We work with a 50 mg Cobalt-60 sample, hence m = 60, and considering a half-life of 5.3 years, in 10 years we have h = 10/5.3 = 1.8868. Hence the equation is:
[tex]f(1.8868) = 60(0.5)^{1.8868} = 16.22[/tex]
Approximately 16.22 mg remain.
More can be learned about exponential functions at https://brainly.com/question/25537936
Jorge has 24 ounces of baking powder to use for baking loaves of bread. If each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?
loaves of bread
1. Find the Area of the Sector:
2. Find the length of the missing side:
1. Area of sector is 14.14 sq.m
2. Length of the missing side is 10 cm
Step-by-step explanation:1.)Using formula:
Area of sector = θ/360° × π r²Where,
θ = 45° Radius (r) = 6mSubstituting the required values:
→ Area = 45°/360° × 22/7 × (6)²
→ Area = 0.125 × 22 × 36/7
→ Area = 2.75 × 36/7
→ Area = 99/7
→ Area = 14.14 sq.m
2.)In given right angled traingle:
Perpendicular = 6 cmBase = 8 cmHypotenuse = ?Using Pythagoras theorem,
(H)² = (B)² + (P)²where,
H is hypotenuseB is Base P is perpendicularSubstituting the required values:
→ (Hypotenuse)² = (8)² + (6)²
→ (Hypotenuse)² = 64 + 36
→ (Hypotenuse)² = 100
→ Hypotenuse = √100
→ Hypotenuse = 10 cm
Hence,
Hypotenuse of Traingle is 10 cmWrite the first 8 triangular numbers
Answer:
1, 3, 6, 10, 15, 21, 28, 36. Notice that the first 2 terms are odd, followed by another 2 even terms, and then another 2 odd terms, before 2 even terms again.
Determine the total value for the account given the principal, rate, and time.
Compound interest account
Principal: $2000
Rate: 2%
Time: 7 years
now, this is assuming the compounding period is annually, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases} \\\\\\ A=2000\left(1+\frac{0.02}{1}\right)^{1\cdot 7}\implies A=2000(1.02)^7\implies A\approx 2297.37[/tex]
What is one thing you would not do when finding the question in a word problem?
A. Look for a problem similar to the word problem you are trying to solve.
B. The question may not be directly stated.
C. So you can understand what the facts are in the word problem.
D. To define your strategy or game plan to solve the word problem.
ill give brainliest and 100 points
Answer:
A. Look for a problem similar to the word problem you are trying to solve is the answer.
Shane found a website that gives the daily weather report from mars. for 4 days, shane recorded the daily high and low temperatures on mars.use the dropdowns to complete each statement. table of daily high and low temperatures in degrees celsius. on day 1, the low was negative eighty-two; the high was negative twenty-four. on day 2, the low was negative eighty-three; the high was negative twenty-six. on day 3, the low was negative eighty-four; the high was negative twenty-seven. on day 4, the low was negative eighty-four; the high was negative twenty-eight.a. the average temperature on day 2 was blank.b. the difference of the average high temperature and the average low temperature for all four days is blank.c. the day with the greatest average temperature was blank.
The average temperature on day 2 was -54.5.
What is Average?This is usually calculated with the sum of the numbers divided by how many numbers are present.
The average temperature on day 2 = -83-26 /2 = -54.5The difference of the average high temperature and the average low temperature for all four days include the following:Day one = -82-(-24) = -58
Day two = -83-(-26) = -57
Day three = -84-(-27) = -57
Day four = -84-(-28) = -56
The day with the greatest average temperature was Day one = -82-24/2 = -53.
Read more about Average here https://brainly.com/question/20118982
Answer:
Step-by-step explanation:
hey, i'm kinda confused on how you do this again factories 3n+12
Answer:
we should take common first
3n+12
taking 3 common
3(n+4)
Please I need help with these, use the picture to answer the questions below
Each dashed line segment is a(n)?
There are _____ congruent triangles in a regular hexagon.
Find the perimeter.
Find the radius of this hexagon.
Answer:
There are 6 congruent triangles in a regular hexagon.
The triangles are equilateral (all sides are equal in length).
Using side length of equilateral triangle formula:
[tex]\sf x=\sqrt{\dfrac{4}{3}h^2}[/tex]
where x is the side length and h is the height
[tex]\sf \implies x=\sqrt{\dfrac{4}{3}\cdot 6^2}[/tex]
[tex]\sf \implies x=\sqrt{48}[/tex]
[tex]\sf \implies x=4\sqrt{3} \ units[/tex]
Therefore, perimeter = 6 × 4√3 = 24√3 units
Radius = side length of triangle = 4√3 units
Side Be a
[tex]\\ \rm\rightarrowtail h=\dfrac{\sqrt{3}}{2}a[/tex]
[tex]\\ \rm\rightarrowtail 6=\dfrac{\sqrt{3}}{2}a[/tex]
[tex]\\ \rm\rightarrowtail 12=\sqrt{3}a[/tex]
[tex]\\ \rm\rightarrowtail a=12/\sqrt{3}[/tex]
[tex]\\ \rm\rightarrowtail a=4\sqrt{3}[/tex]
Perimeter:-
4(4√3)=16√3unitsNeed help for points
Write the expression as a product.
25-(a + 7)^2
[tex]25 - ({a + 7})^{2} = [/tex]
[tex](5 + (a + 7))(5 - (a + 7)) = [/tex]
[tex](a + 12)( - a - 2)[/tex]
Have a great day ♡
What percent is represented by the region that is shaded?
Answer:
66 percent
Step-by-step explanation:
⅔ are shaded which is 0.6 recurring which as a percentage is 66 percent. may have to say 66.6
Which angle is supplementary to 6
Answer: Angle 3
Step-by-step explanation:
Graph the equation y=-X – 2 using the intercepts.
Answer:
y intercept = (0,-2)
x intercept = (-2,0)
Step-by-step explanation:
For y intercept, plug 0 for x
y = (0) - 2
y = -2
y intercept = -2
For x intercept, plug 0 for y
(0) = -x - 2
Move -2 to other side
-x = 2
Since x is negitave, make 2 negitave
x = -2
x intercept = -2
4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?
Answer:
72 breakfasts
Step-by-step explanation:
number of entrees: 4
number of drinks: 6
number of vitamins: 3
four times six times three =
72
PLSS HELPP
Write down the smallest positive integer, n, such that 294n is a perfect square.
Step-by-step explanation:
Closest square root to 294 is 17(289) + 5
294 --> 9 is 287.
289 - 287 = 2.
2 is the biggest positive integer
5 out of 13 students will ride in a car instead of a van
Answer:
Step-by-step explanation:8
Answer:
the answer is 8 i think xddd
Find the value of x.
122°
63
X-4/4=8 Solve this variable on this equation
Answer:
x=9
Step-by-step explanation:
divide 4 by 4 to get 1
x-1=8
9-1=8
Hey there!
x - 4/4 = 8
x - 1 = 8
ADD 1 to BOTH SIDES
x - 1 + 1 = 8 + 1
CANCEL out: -1 + 1 because it give you 0
KEEP: 8 + 1 because it give you the x-value
NEW EQUATION: x = 8 + 1
SIMPLIFY IT!
x = 9
Therefore, your answer is: x = 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Brainliest if correct
Answer:
0.42
30.7
Step-by-step explanation:
two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms
The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.
How to find the sum of terms using Arithmetic sequence formulaaₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore, let's find a and d
a₁₀ = a + (10 - 1)d
a₃₅ = a + (35 - 1)d
Hence,
16 = a + 9d
66 = a + 34d
25d = 50
d = 50 / 25
d = 2
16 - 9(2) = a
a = 16 - 18
a = -2
Therefore, let's find the sum of 75 terms of the arithmetic sequence
Sₙ = n / 2 (2a + (n - 1)d)
S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)
S₇₅ = 37.5 (-4 + 148)
S₇₅ = 37.5(144)
S₇₅ = 5400
learn more on arithmetic sequence here: https://brainly.com/question/1687271
What is the area of this figure?
Answer:
74km
Step-by-step explanation:
7 + 7 = 14
15 + 12 = 27
5 + 8 = 13
9 + 11 = 20
14 + 27 = 41
41 + 13 = 54
54 + 20 = 74
The baker needs 5/8 cup of raisins to make 1 batch of cookies. How many cups of raisins does he need to make 7 batches of cookies?
Answer:
5
Step-by-step explanation:
5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.
7
The number of chocolates, C. needed for a party is worked out using
the formula C = 6n, where n is the number of people attending,
How many chocolates are needed if there are:
b) 12 people?
a) 8 people?
C) 40 people?
d) 50 people?
Answer: (b) 72 (A) 48 (c) 240 (D) 300
Step-by-step explanation:I just multiplied
Answer:
6*12=72
6*8=48
6*40=240
6*50=200
Step-by-step explanation:
just substitute the given number for n and mulitply
There are books of three different languages on the bookshelves of one section of a library. The three different languages are Chinese, Malay and Tamil. Chinese books make up
6/10
of the books. The number of Malay books is 7 times more than the number of Tamil books. If there are 56 Malay books, how many books are there altogether in this section of the library?
Answer:
There are 160 books in this section of the library
Step-by-step explanation:
to solve this problem you need to set up a ratio.
since there are 7 times Malay books the number of Tamil books, you can say that
x = # of Tamil books
7x = # of Malay books
next, you know that there are 56 Malay books so you can substitute.
7x = 56
x = 56/7
x = 8
x = # of Tamil books
8 = # of Tamil books
now you know that there are 56 Malay books and 8 Tamil books. Chinese books make up 6/10 of the library so the other languages must add up to 4/10 of the books.
56 + 8 = 4/10 of the total books
64 = 4/10 of total books
if you call the total books T you can make this equation:
64 = 4/10T
64 * 10/4 = T
160 = T
What is the mean of the following data set?
3.245, 3.678, 3.3, 2.499, 2.9, 3.206, 2.081
Answer:
2.987
Step-by-step explanation:
The mean is calculated by dividing the sum of the terms by the # of terms.
For this problem, add all of the terms together:
3.245 + 3.678 + 3.3 + 2.499 + 2.9 + 3.206 + 2.081 = 20.909
Now, divide the product by the number of terms there are. There are 7 terms.
20.909 ÷ 7 = 2.987
Please help me no links
Answer:
F
Step-by-step explanation:
And it is the solid line because it is less than OR equal to
Dotted line would just be less than
What is the simplest form of
2(3x-2y) + 3(x-3y)
Answer:
9x - 13y
Step-by-step explanation:
2(3x - 2y) + 3(x - 3y)
Use distributive law a(b + c) = ab + ac
⇒ 2·3x - 2·2y + 3·x - 3·3y
⇒ 6x - 4y + 3x - 9y
Gather like terms:
⇒ 6x + 3x - 4y - 9y
Combine like terms:
⇒ 9x - 13y
What is the total cost of a new car that has a price of $24,000 and a sales tax rate of 9%?
Answer:
26,160.00
Step-by-step explanation:
24,000 + 9% = 26,160.00
Have a wonderful day! Dream a good dream of good people. :)
Answer:
The answer is
→ $26,160
Step-by-step explanation:
In this problem, it says that the total cost of the new car is the price of $24,000 plus a sales tax of 9%. For the problem, it's obvious to use addition, because when you buy something, most of the time they add taxes.
So,
24,000
+ 9%
‾‾‾‾‾‾‾‾‾‾
26,160
Therefore, 26,160 is the correct answer for your problem.
please help convert the time
Answer:
215 minutes
Step-by-step explanation:
1 hour = 60 min
3x60=180
180+35=215
Answer:
The answer is 215 minutes
Step-by-step explanation:
1 hour is 60mintues
you have 3 hours so you would do
60+60+60=180 or 60*3=180
then take the 35 minutes you have and add those together.
180+35=215 total minutes
Hope this helps mark brainliest please! :)