Answer:
About 5, 805 grams remaining.
Step-by-step explanation:
We are given that every 27 years, the mass of Element X decreases by half.
We can write an exponential function to model the situation. The standard exponential function is given by:
[tex]\displaystyle f(t)=a(r)^t[/tex]
Where a is the initial amount, r is the rate, and t is the time, in this case years.
Since it is halved, our rate r is 1/2.
Since it is halved for every 27 years, for t, it will be t/27.
Therefore, our function is:
[tex]\displaystyle f(t)=a\Big(\frac{1}{2}\Big)^{t/27}[/tex]
Our initial sample is 7,900 grams. Hence, a = 7900:
[tex]\displaystyle f(t)=7900\Big(\frac{1}{2}\Big)^{t/27}[/tex]
We want to find the remaining amount after 12 years. So, t = 12. Use a calculator:
[tex]\displaystyle f(12)=7900\Big(\frac{1}{2}\Big)^{12/27}\approx5805\text{ grams}[/tex]
After 12 years, there will be about 5805 grams remaining.
Answer:
About 5, 805 grams remaining.
Step-by-step explanation:
We are given that every 27 years, the mass of Element X decreases by half.
We can write an exponential function to model the situation. The standard exponential function is given by:
→ f(t)=a(r)^t
Where a is the initial amount, r is the rate, and t is the time, in this case years.
Since it is halved, our rate r is 1/2.
Since it is halved for every 27 years, for t, it will be t/27.
Therefore, our function is:
→ f(t)=a(1/2)^t/27
Our initial sample is 7,900 grams. Hence, a = 7900:
→ f(t)=7900(1/2)^t/27
We want to find the remaining amount after 12 years. So, t = 12. Use a calculator:
→ f(12)=7900(1/2)^12/27 ≈5805 grams
After 12 years, there will be about 5805 grams remaining.
Which of the following lines is parallel to the line y=-1/2x-6?
Select one:
a. y=-1/2x-6
b. y=1/2x-3
c. y=2x+1
d. y=-1/2x+5
Answer:
D
Step-by-step explanation:
A is the same line
B is not negative
C is perpendicular
D has the same slope and a different y-intercept
solve for a.
a + (-7) = -17
A. a = -24
B. = -10
C. a = 10
D. a = 24
Answer:
the answer is A
Step-by-step explanation:
-17 - (-7) = -24
a = -24
Answer:
b) a = -10
Step-by-step explanation:
a + (-7) = -17
simplify
a - 7 = -17
add 7 to both sides of the equation
a - 7 + 7 = -17 + 7
a = -17 + 7
a = -10
if one face of a cube has an area of 6.75 square inches , what is the surface area of the entire cube ?
Answer:
40.5
Step-by-step explanation:
a cube has 6 faces so 6.75 x 6 = 40.5
Choose the correct equation for the line shown on the graph?
y = x - 1
y = - x - 1
y = x - 4
y = - x - 4
Answer:
y=-x-1
Step-by-step explanation:
suppose you had a new candy jar with the same ratio of jolly ranchers to jawbreakers as shown above, but it contained 100 jolly ranchers. how many jawbreakers would you have?
Answer:
100
Step-by-step explanation:
if its the same then its 100
1) Danielle earns 9% commission on all the makeup sales she makes. This past week she sold $895 worth of makeup. How much money did Danielle earn from her sales? *
Can someone plz answer this
Answer:
$80.55
Step-by-step explanation:
9% of 895 = 80.55
What is the transformation of y= (x + 3)2 + 2 from the parent function
y = x²?
Answer:
sdgghjjkugzdbhgfbufsfh
A kangaroo hops 2 kilometers in 3 minutes. At this rate how long does it take the kangaroo to travel 3 kilometers?
Answer:
4 minutes 3 seconds
Step-by-step explanation:
Step one:
Given data
A kangaroo hops 2 kilometers in 3 minutes
The rate/speed is
rate/speed= 2/3 km per minute
Required
the time taken to cover 3 km
Step two:
We know that
rate= distance/time
2/3= 3/t
cross multiply we have
2t=3*3
2t=9
divide both sides by 2
t= 9/2
t= 4.5 minutes
t= 4 minutes 3 seconds
X = 1 y = -8 Are the two linear equations parallel, perpendicular, or neither?
Answer: Perpendicular
Step-by-step explanation:
is my fourth answer right or wrong
Answer: Right
Step-by-step explanation:
Answer:
Your answers for #2 and #4 are incorrect.
Step-by-step explanation:
For #2:
For one half hour in the garage, simply divide the one hour rate in half. 5/2= 2.5For #4:
For 1.75 hours in the garage, the answer will be less than your answer for two hours. So, if 2hrs is $10, then the answer for 1.75 hrs must be 7.5
in school there are 450 students in total. if 2/3 are boys, find the number of girls in the school
ANSWER: 150
Step-by-step explanation:
2/3 of 450 is 300
450-300=150
The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?
Answer:
C (The lower left one)
Step-by-step explanation:
I saw that the vertex was equal to (-1,1) and that is the only answer that makes sense
The graph of the function y = x shifted 1 unit up and moved 1 unit to the left
so the new function is now y = (x + 1) + 1.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
By observing the figure we conclude that it shifted 1 unit up and moved 1 unit to the left.
If the original graph was y = x now it is y = (x + 1) + 1.
learn more about graphs here :
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Which relationships describe the angle pair x° and 157°? Select each correct answer. O complementary angles 1570 O supplementary angles o adjacent angles vertical angles
Answer:
Supplementary angles and adjacent angle
Step-by-step explanation:
Both angles x° and angle 157° are supplementary ; this is because the sum of both angles should add up to 180°.Looking closely, each both angles will combine to form angle on a Straight line which from angle theorem adds up to 180°.
Also both angles x° and 157° are adjacent angles most simply because they share a common vertex(this can be interpreted as the point of intersection of the two lines which makes up the diagram.)
At dinner, the meal cost $24 and the sales tax was $1.32. What was the tax rate? Write your answer as the percent with no % sign
Answer:
5.5
Step-by-step explanation:
Sales tax = tax rate × Cost of meal
Sales tax = $1.32
Tax rate = x%
Cost of meal = $24
Sales tax = tax rate × Cost of meal
1.32 = x% × 24
1.32 = x/100 × 24
1.32 = 24x/100
1.32 * 100 = 24x
132 = 24x
x = 132/24
x = 5.5%
= 5.5
pls help asap what is the area of this figure
Answer:
255
Step-by-step explanation:
Mark Me Brainliest Please
how do you solve systems by graphing
Answer:
A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.
Step-by-step explanation:
Brainliest?
Maria and her friend ride their bikes. They start at 12:47 and end at 2:29. How long did they ride their bikes for?
Answer:
Their bide ride was 1 hour and 42 minutes
Determine if the following system of equations has No Solution or Infinitely Many Solutions.
4y - 2 = x
y = 3x +
Answer:
Infinitely Many
Step-by-step explanation:
I got it right
Given the point (−5,2), write the coordinates of a point that is related by a reflection over the -axis. Write your answer with a comma and no spaces.
Answer:
hmmmmmmmmmmmmmm , hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Write an equation to represent the following: Dave paid for lunch for everyone at
his office, he bought 12 tacos and 18 burritos. He spent $108 total. How much are
burritos if tacos are $3?
Janice rolls a fair number cube sixty times. She rolled the number four 12 times.
What is the experimental probability of rolling the number four?
Answer:0.5
Step-by-step explanation:
60➗12
Probability of an event is the measure of its chance of occurrence. The experimental probability of Janice rolling the number four is 0.2
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For this case, we're specified that:
The event in consideration is "Rolling the number 4"
The times she rolled the number 4 is: 12
She got four 12 times in 60 rolls of the considered cube.
Thus, we have:
E = Rolling the number 4 on the considered cubeNumber of times E occured = 12Number of times experiment was done = 60Thus, we get:
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}} = \dfrac{12}{60} = \dfrac{1}{5} = 0.2[/tex]
Thus, the experimental probability of Janice rolling the number four is 0.2
Learn more about experimental probability here:
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I need help quick!!!!!!!!
Answer:
Step-by-step explanation:
Plants need carbon dioxide this enables them to photosynthesis and produces oxygen
So A is the correct answer
What is the constant in this expression 4x+5y-3? (3 points) a 4x b y c 5 d 3
Answer:
-3 is a constant.
Step-by-step explanation:
The given equation is :
4x+5y-3 ...(1)
The general equation is :
ax+by+c ...(2)
c is a constant
If we compare equations (1) and (2), we find that.
c=-3
Hence, the constant in this expression is -3.
Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11
Answer:
Option C is correct option.
Step-by-step explanation:
We need to determine which number has a terminating decimal expansion.
Terminating decimal
A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .
for example 0.123 is terminating decimal as it has finite number of digits after decimal point.
Now, we will look at each option to find the terminating decimal
A. 2/7
Converting in decimal form: 0.28571....
As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.
B.√12
Converting in decimal form: 3.46410....
As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.
C. 5/8
Converting in decimal form: 0.625
As it contain finite numbers after decimal point, so 5/8 is terminating decimal.
D. 2/11
Converting in decimal form: 0.18181....
As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.
Therefore, Option C is correct option.
Answer:
Option C is correct option.
Step-by-step explanation:
We need to determine which number has a terminating decimal expansion.
Terminating decimal
A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .
for example 0.123 is terminating decimal as it has finite number of digits after decimal point.
Now, we will look at each option to find the terminating decimal
A. 2/7
Converting in decimal form: 0.28571....
As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.
B.√12
Converting in decimal form: 3.46410....
As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.
C. 5/8
Converting in decimal form: 0.625
As it contain finite numbers after decimal point, so 5/8 is terminating decimal.
D. 2/11
Converting in decimal form: 0.18181....
As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.
Therefore, Option C is correct option.
The cost price of a car is 450 naira and the selling price is 504 naira what is the percentage again
Answer:
12%
Step-by-step explanation:
The car is sold at a gain because its selling price is greater than cost price
Profit = [(selling price - cost price) / cost price ] x 100
[tex]\frac{504 - 450}{450}[/tex] x 100
[tex]\frac{54}{450}[/tex] x 100 = 12%.
Helpppp pleaseeeee??????
Clare has a recipe for yellow cake she uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups of flour. What equation would show the relationship between cake and flour?
Answer:
[tex]c=\frac{3}{7}f[/tex]
Step-by-step explanation:
Clare uses [tex]9\frac{1}{3}[/tex] cups of flour to make 4 cakes.
Noah follows the same recipe so the ratio of the ingredients used will be proportional.
If Noah uses f cups of flour for c cakes,
[tex]\frac{c}{f} =\frac{4}{9\frac{1}{3}}[/tex]
[tex]\frac{c}{f} =\frac{4}{\frac{28}{3}}[/tex]
[tex]\frac{c}{f} =\frac{4\times 3}{28}[/tex]
[tex]c=\frac{3}{7}f[/tex]
Therefore, relation between cake and flour used is,
[tex]c=\frac{3}{7}f[/tex]
HELP PLEASE!!!!! I NEED IT DONE SOON
Answer:
AB
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
show your work
Answer:
61
Step-by-step explanation:
1/5 = .2
so you do 12.2 / .2 which gives you 61
Answer:
Your answer is 61
Step-by-step explanation:
Step 1. Convert 12.2 into a fraction. (I chose to put 12.2 over 10 so in the end it's 122/10.)
Step 2. Layout your problem
Remeber when dividing fractions it Keep, Change, Flip.
122/10 x 5/1
Step 3. Solve
122/10 x 5/1 = 61
That should be your answer to the problem :)
Write an equation that represents the graph
Answer:3:40 ratio
Step-by-step explanation:
