The type of Nuclear decay that is described where Gold undergoes transmutation is given as 185/79 Au → 181/77 Ir + 4/2 He, it is called Alpha Decay.
What are the characteristics of Alpha Decay?An Alpha Decay can be described as a form of radioactive or Nuclear decay where the atomic nucleus releases an alpha particle (also known as Helium Nucleus).
It then converts into a nucleus that is atomic with an atomic number of two and a mass number of four.
Alpha Decay is usually trigged for two key reasons:
An unstable nucleus; andexcessive protons.Learn more about Alpha Decay at:
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6. The ages of some children from a church were recorded. How many children were there in total?
Answer:
15
Step-by-step explanation:
Just add the number of kids disregarding their age
Answer:
The correct answer is 15.
Step-by-step explanation:
To get this answer, all we have to do is add up the data from the graph.
3 + 4 + 2 + 5 + 1 = 15
Hope this helps:) Goodluck!
5a+3-4a²+2a³ sandard form
Kyle buys a car for $58,000. His car immediately starts depreciating, losing 23% of its value every year. How much will the car be worth in 12 years?
The depreciated value of the car after 12 years that Kyle buys for $58,000 today, which declines 23% annually, will be $2,520.
What is depreciation?Depreciation is the reduction or decrease in the value of an asset over time.
Depreciation occurs because an asset is put to use, and undergoes wear and tear.
The current price of the car = $58,000
The annual depreciation rate = 23%
The depreciated value after one year = 0.77 (1 - 23%)
Let the number of years of depreciation = x
The worth of the car after 12 years = 58,000 x 0.77^x
= 58,000 x 0.77^12
= 58,000 x 0.04344
= $2,519.52
= $2,520
The car's depreciated value can be modeled by the exponential function (decay) abˣ, which yields $2,520 in this situation.
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Help with this question please
Answer:
See below
Step-by-step explanation:
(a)
[tex]\angle A\cong \boxed{\angle Z}[/tex][tex]\angle B\cong \boxed{\angle Y}[/tex][tex]\angle C\cong \boxed{\angle X}[/tex](b)
[tex]\overline{AB}\cong \boxed{\overline{ZY}}[/tex][tex]\overline{AC}\cong \boxed{\overline{ZX}}[/tex][tex]\overline{BC}\cong \boxed{\overline{YX}}[/tex](c)
[tex]\triangle CAB \cong \triangle \boxed{XZY}[/tex]PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
You don't have do do anything with the denominator because they are the same so simply subtract!
9 - 4 = 57 - 3 = 4The denominator stays the same5 [tex]\frac{4}{12}[/tex]Simplify= 5 [tex]\frac{1}{3}[/tex]
pls help with this question asap
Answer:
30 ft
Step-by-step explanation:
Perimeter
= 3 + 4 + 4 + 7 + 4 + 4 + 4
= 30 ft.
Type the correct answer in each box. use numerals instead of words. a manufacturer tests a certain number of the headsets that are produced each day. if 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, what is the chance of finding a defective headset? round your answer to the nearest tenth. there is a % chance of finding a defective headset.
The chance of finding a defective headset is 2.5%
How to determine the probability?The given parameters are:
Total = 280
No defects = 273
The number of defective headsets is:
Defective = 280 - 273
Evaluate
Defective = 7
The probability that a defective headset is selected is:
P(Defective) = 7/280
Express as percentage
P(Defective) = 2.5%
Hence, the chance of finding a defective headset is 2.5%
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SOMEONE HELP ME PLS I NEED HELP
Answer:
[tex]m\angle{W} = {75{^\circ}}[/tex]
[tex]m\angle{Y} = {15{^\circ}}[/tex]
[tex]m\angle{Z} = {90{^\circ}}[/tex]
Step-by-step explanation:
All angles in a triangle must add up to [tex]180{^\circ}[/tex]
First we can use an equation to find [tex]x[/tex]
[tex](x - 15) + (2x - 165) + 90 = 180[/tex]
[tex]3x - 180 = 90[/tex]
[tex]3x = 270[/tex]
[tex]x = 90[/tex]
Now we can solve for [tex]\angle W[/tex]and [tex]\angle Y[/tex] through substitution
[tex]\angle{W} = 90 - 15 \rightarrow \boxed{75{^\circ}}[/tex]
[tex]\angle{Y} = 2x - 165 \rightarrow 2(90) - 165 \rightarrow 180 - 165 \rightarrow \boxed{15{^\circ}}[/tex]
Now we can classify the triangle
It is right because it has a [tex]90{^\circ}[/tex] angle
These are the answers
- Kan Academy Advanced
write 0.009 as a fraction. (Its a refresh I need pls answer it bc I forgot how to do this!)
Answer:
9/1000
Step-by-step explanation:
When writing decimals into fractions, you first take the last digit, (in this case 9), and place it as your numerator, then count how many decimal places there are after 0. <---- in our case we have 3 decimal places which means our denominator has 3 zeros. Hence it is 1000.
I need the answers asap thank you
Answer:
1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C
11. A car can travel 90 miles on 3 gallons of gasoline. How far can it travel on 13 gallons?
Answer:
390 miles
Step-by-step explanation:
90/3 = 30
30x13 = 390
1. Find the variation constant and an equation of variation where y varies directly as x and y=9 when x=1.
Answer:
k = 9
y = 9x
Step-by-step explanation:
Variation Constant Formula :
k = y/xk = 9/1k = 9Equation :
y = kxy = 9xAnswer:
[tex]y = x \\ the \: constant \: k \: will \: be \: y = kx \\ therefore \: if \: y = 9 \: and \: x = 1 \\ the \: equation \: will \: be \: 9 = k(1) \\ this \: gives \: k = 9 \\ therefore \: to \: represent \: in \: equation \: it \: will \: be \\ y = 9x[/tex]
Which of the following shows the interval of the domain where
the function f(x)=x2 - 2x+5 is decreasing?
The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.
What are domain and range?The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
f(x) = x² - 2x + 5
The equation can be written as
f(x) = x² - 2x + 1 + 4
f(x) = (x - 1)² + 4
Then the domain of the function where the function is decreasing will be (-∞, 1).
Then the correct option is D.
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A student studies the effect of sunlight on the growth of a tree sapling. At the beginning of the student’s study, the tree sapling is
48
inches tall. The student finds that the tree sapling grows an average of
3
inches per month.
Which expression represents the height of the tree sapling after
x
months?
pls hurry, i need help asap
Reason:
The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.
Let's say x = 5 months have elapsed as an example.
The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the mean and median of the data say about gas prices in 2018?
Both the mean and the median can be used to describe where the “center” of a dataset is located. It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers. It’s best to use the median when the distribution of data values is skewed or when there are clear outliers.
An auditorium has a seating capacity of 1500. For an upcoming event community event theater play, tickets cost $4 for adults and $2 for children. At last years play, twice as many children attended as did adults. If the attendance at this year's play has the same ratio, what expression would represent the best estimate of the total amount of money from ticket sales when the auditorium is filled to capacity ?
Answer:
from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children
a bracelet that costs 200 last year costs 158 this year. what is the percent of decrease
i need help can u guys help ;-;
Answer:
The answer for x and y will be x = Y + 7 and Y = 6x + 7Step-by-step explanation:
Y=6x - 7
6x - 7 = Y
6x = Y + 7
6x/6 = Y + 7/6
X = Y + 7
Students must purchase a ticket to attend the show. the committee wants to
have $500 remaining from ticket sales, after paying for equipment, lighting,
and costumes.
the tickets will cost $5.60 for each ticket, and the committee expects to sell
as many tickets as there are seats available.
what is the greatest amount of money, in dollars, the committee can spend
on equipment and costumes?
Answer:
The total number of seats is also needed to answer the question.
Step-by-step explanation:
For example, if there were 100 seats the committee would make $560 in all, therefore having $60 to spend on equipment and costumes.
Rewrite each fraction with a denominator of 24. 2/3 and 5/8
Answer:
2/3 of 24 is 16/24
5/8 of 24 is 15/24
Step-by-step explanation:
if you multiply across 2/3 by 8/8 it equal to 16/24
if you multiply across 5/8 by 3/3 it equal to 15/24
Answer:
16/24 and 15/24
Step-by-step explanation:
To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.
Amelia's car used 16 gallons to travel 656 miles. How many gallons of gas would she need to travel 533 miles?
Answer:
13 gallons of gas.
Step-by-step explanation:
If amelia used 16 gallons of gas for 656 miles, she is traveling 41 miles per gallon. (656 divided by 16). So we take the amount she needs to travel which is 533, and divide it by 41 because 41 miles is equal to one pound of gas, so, 533 divided by 41 is 13, she needs 13 gallons of gas to travel 533 miles.
please answer asap! 20 points!!
A new car is purchased for 23,900 dollars. The value of the car depreciates at a rate of 6.4% per year. Which equation represents the value of the car after 4 years?
1) V= 23,900(0.936)(0.936)(0.936)(0.936)
2) V=23,900(1+0.064)⁴
3) V= 23,900(1−0.064)(1−0.064)
4) V= 23,900(0.064)⁴
Answer:
1) V= 23,900(0.936)(0.936)(0.936)(0.936)
Step-by-step explanation:
Each year, the car depreciates to 1 -0.064 = 0.936 of its previous value. After 4 years, the original value has been multiplied by this factor 4 times:
__
depreciated value = 23,900(0.936)(0.936)(0.936)(0.936)
_____
This could be represented by ...
V = 23,900(1 -0.064)⁴ . . . . . . not an answer choice
Find a function y of x such that 2yy′=x and y(2)=6
Answer:
[tex]y=\sqrt{\frac{x^{2}}{2} +34}[/tex]
Step-by-step explanation:
[tex]2y\left( x\right) y^{\prime }\left( x\right) =x[/tex]
[tex]\Longrightarrow \int 2y\left( x\right) y^{\prime }\left( x\right) dx=\int x\ dx[/tex]
[tex]\Longrightarrow y^{2}\left( x\right) =\frac{x^{2}}{2} +c\ \text{(c is a constant)}[/tex]
[tex]y\left( 2\right) =6\Longleftrightarrow y^{2}\left( 2\right) =36[/tex]
[tex]y^{2}\left( 2\right) =36\Longleftrightarrow \frac{\left( 2\right)^{2} }{2} +c=36\ \Longleftrightarrow c=34[/tex]
[tex]\Longrightarrow y\left( x\right) =\pm\sqrt{\frac{x^{2}}{2} +34}[/tex]
Work out
m
and
c
for the line:
y
=
x
+
4
Answer:
m = 1
c = 4
Step-by-step explanation:
First let's review what a slope-intercept form is.
Slope-intercept form is a specific form of linear equations. It always has y on one side and all the other terms on the other. Its structure is:
[tex]y = mx + c[/tex],
where m is the slope and c is the y-intercept.
You can easily read slope (m) and intercept (c) in your equation.
[tex]y = mx + c\\y = x + 4[/tex]
You can see that m in front of x is 1, because x = 1x. Multiplying with 1 perserves the number.
So:
[tex]m = 1\\c = 4[/tex]
3 + 4ab - 5b + m
Number of terms:
Coefficients:
Constant terms:
Answer:
Number of terms = 4 (there are four terms)
coefficients = the coefficient of ab = 4
✓✓✓ ✓✓✓ ✓ b = -5
✓✓✓ ✓✓✓ ✓ m = 1
constant terms = 3
Hope it helped!!
Number of terms, Coefficients, Constant terms are 4,2 and 1
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
3 + 4ab - 5b + m
Number of terms here are
=4
Coefficients we have
=2
Constant terms
=1
Therefore, the answer to this algebra will be 4,2 and 1
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a student was asked to multiply a number by 3/2. instead he divided the number by 3/2 and obtained a number smaller by 2/3, the number is:
Answer:
[tex]\boxed{\bf \sf number : \ \frac{4}{5} }[/tex]
Explanation:
Let the number be n
According to students Condition:
[tex]\rightarrow \sf \dfrac{3}{2} \ x \ n \quad = \quad \dfrac{3n}{2}[/tex]
What He actually Did:
[tex]\rightarrow \sf n \div \dfrac{3}{2} \quad = \quad n \ x \ \dfrac{2}{3} \quad = \quad \dfrac{2n}{3}[/tex]
He got a smaller number by 2/3, so:
[tex]\rightarrow \sf \dfrac{3n}{2} - \dfrac{2n}{3} = \dfrac{2}{3}[/tex]
make the denominator's same
[tex]\rightarrow \sf \dfrac{3(3n)}{6} - \dfrac{2(2n)}{6} = \dfrac{2}{3}[/tex]
multiply the integers
[tex]\rightarrow \sf \dfrac{9n}{6} - \dfrac{4n}{6} = \dfrac{2}{3}[/tex]
Join the fractions
[tex]\rightarrow \sf \dfrac{9n-4n}{6} = \dfrac{2}{3}[/tex]
Subtract integers
[tex]\rightarrow \sf \dfrac{5n}{6} = \dfrac{2}{3}[/tex]
Cross multiply
[tex]\rightarrow \sf n = \dfrac{6 \ * \ 2}{5 \ * \ 3} \quad = \quad \dfrac{4}{5}[/tex]
Lets see
the number be x
The expression is
3x/2-2x/3=2/39x-4x)6=2/35x)6=2/315x=12x=12/15=4/5
Calculate the volume of the figure below.
Answer:
600 cm³
Step-by-step explanation:
Figure is of cuboid
length (l) = 10cm
breadth (b) = 4 cm
height (h) = 15cm
volume of cuboid = l.b.h
= 10 × 4 × 15
= 40 × 15
= 600
Therefore,volume of given figure is 600 cm³.
NEED HELP ASAP 50 POINTS PLEASE ANSWER CORRECTLY!!!! I have 3 round stock tanks. I want to use the one with the largest volume in my cow- calf pasture. (That's where my cows that are having calves are held.) I want to use the one with the smallest volume in the corrals with the horses. It is easier to fill it when necessary. I don't mind running the hose on it everyday. I want to use the tank with the mid-sized volume in my bull pasture. I have 15 bulls for sale. I have people come by everyday so the number of animals in that pasture will go down. Please match the correct tank with the correct pasture. Mid-Sized tank. Bull Pasture 1. Tank 1: 3' tall, 10' diameter Smallest Tank. Horse/Corral Tank 2. Tank 2: 2' tall, 12' diameter + 3. Tank 3: 1.5' tall, 15' diameter Largest Tank. Cow-Calf Pasture Question 20 (10 points)
Answer:
Largest: 3
Smallest: 2
Mid-Sized: 1
Step-by-step explanation:
Write each expression using a single exponent x^9/x^2
Answer:
[tex]x^{7}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{^{a^{n} } }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{x^{9} }{x^2}[/tex] = [tex]x^{(9-2)}[/tex] = [tex]x^{7}[/tex]
The expression (x⁹)/(x²) in single exponent is x⁷.
To write the expression (x⁹)/(x²) using a single exponent
we can apply the exponent rule for division, which states that when dividing two exponential expressions with the same base, we subtract the exponents:
[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]
(x⁹)/(x²)
= x⁹⁻²
= x⁷
Therefore, the expression (x⁹)/(x²) can be simplified to x⁷.
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Help please lol???????
