Answers
Answer:
[tex]y=2(\frac{1}{3})^x[/tex]
Step-by-step explanation:
Let the equation of the given exponential function is,
y = a(b)ˣ
Graph of the given exponential function passes through (0, 2) and (-1, 6)
For a point (0, 2),
2 = a(b)⁰
a = 2
For another point (-1, 6),
6 = 2(b)⁻¹
3 = b⁻¹
b = [tex]\frac{1}{3}[/tex]
Therefore, equation of the exponential function will be,
[tex]y=2(\frac{1}{3})^x[/tex]
Related Questions
16. A radioactive isotope has a half-life of 13 hours. Find the amount of the isotope left from a 400-milligram
sample after 65 hours. If necessary, round your answer to the nearest thousandth.
a. 25 mg
c. 0.049 mg
b. 7.692 mg
d. 12.5 mg
Please help. I only see answers for 52 hours
Answers
Answer:
Without the math: 65 hours is 5 half-lives
13 hrs = 1/2
26 hrs = 1/4
39 hrs = 1/8
65 hrs = 1/32
(1/2)^5 = 1/32
400 mg / 32 = 12.5 mg that is, after 5 half-lives
A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).
The diameter of the sphere is ___ inches.
Answers
Answer:
diameter = 36 in.
Step-by-step explanation:
V = 4π r^3/3
24416.64 = (4(3.14) r^3)/3
73249.92 = 12.56 r^3
r^3 = 5832
r = cube root of 5832 = 18
diameter = 36 in.
what is 9999999999999999999999999999999 X .906 X 828288282 right answers only no g00gle if you comment without a actual right answer i will report you
Answers
Answer:
there are a total of 31 9's in the beginning and breaking my head open doing this math from writing on paper we get about 7.50e+39
Step-by-step explanation:
is ib in canada hard?
Answers
Answer:
yes because Canada is american country
Correct Answer Gets Brainleist + 15 points. (Please Help..)
Answers
Answer:
You need to divide by the cost of children and adults by their per cost to total
Kayla owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $7.25. Yesterday Kayla made a total of $595 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
Answers
Let b = the number of burritos sold
3t + 7.25b = 595
B=2t
Find the are of the blue shaded region.
XTRA POINTS!!!
Plus brainliest!!!
No links or anything i will report you!!!!!
PLZ!!!!
Answers
Answer:
25π
Step-by-step explanation:
i hope u hav a gud day ^_^
Answer:
area = 73.37 cm²
Step-by-step explanation:
area of circle:
A = π5² = 78.5 cm²
area of 80° segment:
(80/360)(78.5) = 17.44 cm²
area of isosceles triangle w/ 5 cm legs and 80° angle:
sin 40° = b/5
0.6428 = b/5
b = 3.214
base = 2(3.21) = 6.43 (we only figured for one-half of the base)
cos 40° = h/5
0.7660 = h/5
height = 3.83
A = 1/2(6.43)(3.83) = 12.31 cm²
area of unshaded part:
17.44 - 12.31 = 5.13 cm²
area of total shaded part:
78.5 - 5.13 = 73.37 cm²
There are 15 pieces of fruit in a bowl and 40% of them are apples.
How many of the pieces of fruit in the bowl are apples?
Answers
Answer:
six out of the fifteen are apples
If cos A= -4/5 and A is in the second quadrant, then cos 2A = ?
Answers
Answer:
i think its second pythagreom therom
Step-by-step explanation:
because
What is the measure of angle Q?
Answers
Answer:
hi
Step-by-step explanation:
x⁰+(x+90)⁰+(x-18)⁰=180⁰
3x+72=180
3x=180-72
3x=108
x=36
Q is equal to x+90=36+90=126
For cheking answer:
R is 36
Q is 126
P is 18
36⁰+126⁰+18⁰=180⁰
hope it helps
have a nice day
Answer:
[tex]x=96[/tex]
Step-by-step explanation:
[tex]360=x+\left(x+90\right)+\left(x-18\right)[/tex]
Step 1: Simplify both sides of the equation.
[tex]360=x+x+90+x-18[/tex]
[tex]360=(x+x+x)+(90+-18)[/tex] (Combine Like Terms)
[tex]360=3x+72[/tex]
Step 2: Flip the equation.
[tex]3x+72=360[/tex]
Step 3: Subtract 72 from both sides.
[tex]3x+72-72=360-72[/tex]
[tex]3x=288[/tex]
Step 4: Divide both sides by 3.
[tex]\frac{3x}{3}=\frac{28}{3}[/tex]
[tex]x=96[/tex]
Hope this helped! :)
Pls? Help? No links pls lol
Answers
(2, -3) is the answer
help pls D:
9. The table represents some points on a linear
function. Which situation can be modeled by this
function?
X
3
5
7
11
Y
228
380
532
836
A. The cost of buying number of concert tickets for
$76 each.
B. The number of pages y that can be read in 76
minutes.
C. The number of gallons of fuel xthat can be used to
travel 228 miles.
D. The amount of money spent from a savings
account with y dollars.
Answers
Answer:
A
Step-by-step explanation:
I feel like everyone on this app has just given up, because no one has been helping me with any of my math stuff. And it's just like a ghost town here
Answers
Answer:
i see how you feel but ._. i just aint good at math shawty
Step-by-step explanation:
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 64 sandwiches in all, 16 of which were turkey. What percentage of the sandwiches were turkey sandwiches?
Answers
Answer:Percentage of the sandwiches which were turkey=25%
Step-by-step explanation:
Number of sandwiches in all(ham and turkey)= 64
Number of turkey sandwiches =16
Percentage of the sandwiches which were turkey=16/64 x 100
=0.25 x 100
=25%
Help plz
Jacey has 40 pizzas to sell in the concession stand at a basketball game . Each pizza has been cut into 8 slices of equivalent size. In the first hour, Jacey sold 16 3/8 pizzas . In the second hour , she sold 18 3/4 pizzas . How many pizzas does Jacey have left to sell?
Answers
Answer:
Jacey has 5 2/3 (ignore this it asked for 20 characters)
Identify CD. Please help ASAP
Answers
Answer: CD=7
Step-by-step explanation: By the definition of congruence, AB=CD.
Substitute the given expressions for AB and CD.
x+5=2x+3
Subtract x from both sides.
5=x+3
Subtract 3 from both sides.
2=x
Substitute x=2 back into the expression for CD and simplify.
CD=2(2)+3=7
Therefore, CD=7.
I hope this helps.
ariana
Determine if the side lengths listed create a right triangle, acute triangle, obtuse triangle, or do not make a triangle. 3, 9, 10 Determina si las longitudes de los lados enumeradas crean un triángulo rectángulo, un triángulo agudo, un triángulo obtuso o no forman un triángulo. 3, 9, 10 * 1 point right acute obtuse not a triangle
Answers
Answer:
Obtuse triangle
Step-by-step explanation:
Given the side lengths :
3, 9, 10
Let :
a = 3 ; b = 9 ; c = 10 (longest side)
If a² + b² = c² (right angle)
If a² + b² > c² (acute angle)
If a² + b² < c² (obtuse angle)
a² + b²
3² + 9²
9 + 81 = 90
c² = 10² = 100
90 < 100
Hence,
a² + b² < c² (then we have an obtuse triangle)
A cab company charges $0.70 per cab ride, plus an additional $1 per mile driven. If a cab ride is 40.55 miles long, how much will it cost?
Answers
Answer:
41.25
Step-by-step explanation:
0.70 + 1 (40.55) = 41.25
adding and subtracting polynomials. help?
Answers
hope this help you! have a great day
Solve the equation. 6x−7=2x+13
Answers
Answer:
6x - 7 = 2x + 13
6x - 2x = 13 + 7
4x = 20
x = 20/4
x = 5
Hope it helps!
what is forty five plus ninety
Answers
Answer:
=135
Step-by-step explanation:
45+90
=45+90
=135
if you’re standing on the street 1,300 feet from the bottom of the building, you have to look up at a 23 degree angle to see the top. How tall is the building ? explain or show your reasoning.
Answers
Answer:
551.82feet tall
Step-by-step explanation:
WE are given the following from the question;
Distance of me from the bottom of the building = 1300feet (adjacent)
Angle of elevation = 23 degrees
Required
Height (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 23 = H/1300
H = 1300tan23
H = 1300(0.4245)
H = 551.82feet
Hence the building is 551.82feet tall
There were 23 votes in the class
Election. Melika received 5 votes more
Than her opponent. If mequals Melika's
Votes, which expression shows her
Opponent's votes?
A) M + 5
B) M - 23
C) 23 - m
D) 23 - (
m5)
Answers
Answer:
check my explanation
Step-by-step explanation:
the answer is option A.
I think
Sum of 23 and y please help
Answers
Answer:
I think it’s -5
Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60
per month. Ken is borrowing $600 from his parents to purchase a snowboard. He plans to pay his parents back at
the rate of $20 per month. a) Write an equation that can be used to determine after how many months the boys will owe the same amount.
b) Determine algebraically and state in how many months the two boys will owe the same amount. State the
amount they will owe at this time.
c) Ian claims that he will have his loan paid off 6 months after he and Ken owe the same amount. Determine and
state if Ian is correct. Explain your reasoning.
Answers
A = 10 months
B = First part, the two equations:
Ian: y = 1000 - 60x, where x is the number of months and y is the remaining balance owed.
Ken: y = 600 - 20x.
They will be equal at 1000 - 60x = 600 - 20x
Second part: Solve the equation. Note, if you're equation is incorrect, solve it anyway because you will still get some credit!
1000 - 60x = 600 - 20x
1000 = 600 + 40x
400 = 40x
x = 10 months
y = 600 - 20(10) = 600 - 200 = $400 still owed.
C =
Solve Ian's equation for y = 0, when no money is owed.
1000 - 60x = 0
1000 = 60x
x = 16.66666.... or 17 months.
Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money.
Alternatively, six months after 10 is 16 months,
and y = 1000 - 60(16) = 1000 - 960 = 40. He will still owe $40 at 16 months, so he is not paid off.
WHAT IS 1+1 pls help
Answers
Answer:
2.0
Step-by-step explanation:
Solve the system of equations.
5y - 4x = -7
2y + 4x = 14
X =
Y =
Answers
Answer:
5y + 2y - 4x + 4x = -7 +14
7y = 7
y = 1
2(1) + 4x = 14
4x = 12
x = 3
Step-by-step explanation:
Using the process of elimination
Add both equations. The 4x will be eliminated since one is positive and one is negative. The equation is left with only the y variable and the constant.
When y is found, input it into the second equation to find x.
Amy spent $90 at the store. She spent 1/3 of her money on food, 1/6 of her money on school supplies, and 1/9 of her money on soda. How much did she spend on school supplies?
Answers
Given:
Amy spent $90 at the store.
She spent [tex]\dfrac{1}{3}[/tex] of her money on food, [tex]\dfrac{1}{6}[/tex] of her money on school supplies, and [tex]\dfrac{1}{9}[/tex] of her money on soda.
To find:
How much did she spend on school supplies?
Solution:
According to the given information, Amy spend [tex]\dfrac{1}{6}[/tex] of her money on school supplies.
Amy spent $90 at the store. So,
Money spend on school supplies = [tex]\dfrac{1}{6}\times 90[/tex]
= [tex]15[/tex]
Therefore, Amy spend $15 on school supplies.
Compare investing $1500 at 9% compounded monthly for 11 years with investing $1500 at 14% compounded monthly for 11 years.
Answers
Answer:
Final amount after 11 years = $4021.97
Step-by-step explanation:
We will use the formula to get the final amount after t years,
Final amount = [tex]a(1+\frac{r}{n})^{nt}[/tex]
here a = Initial amount
r = Rate of interest
n = Number of compounding in a year
For Initial amount 'a' = $1500
r = 9%
t = 11 years
n = 12 [Compounded monthly]
F = [tex]1500(1+\frac{9}{12})^{12\times 11}[/tex]
= $4021.97
In a sale, the normal price of a book is reduced by 20%.
The sale price of the book is £4.80
Work out the normal price of the book
Answers
Answer:
5.76
Step-by-step explanation:
4.80×.20=0.96
4.80+0.96=5.76