Answer:
[tex]500(.75)^{n}[/tex]
Step-by-step explanation:
It is changing exponentially because if you are eating a fraction of the left over m & m's, that is a different amount each time so it can't be linear.
500(1-(1/4))^n
[tex]500(.75)^{n}[/tex]
Initial quantity of the candies = 500
If we eat [tex]\frac{1}{4}[/tex] candies each day, number of candies after one day
= 500 - [tex]\frac{1}{4}\times 500[/tex]
= 500 - 125
= 375
Number of candies after two days
= 375 - [tex]\frac{1}{4}\times (375)[/tex]
= 281.25
Therefore, sequence formed will be.
500, 375, 281.25.......n days
Ratio of 2nd and 1st term = [tex]\frac{375}{500}[/tex] = 0.75
Ratio of 3rd and 2nd term = [tex]\frac{281.75}{375}[/tex] = 0.75
Therefore, there is a common ratio of 0.75 in each successive and previous term.
And the sequence will be a geometric sequence.
Expression for the exponential decay is,
[tex]A=A_0(1-r)^n[/tex]
Here, A = Final amount
[tex]A_0=[/tex] Initial amount
r = percentage decrease
n = duration
From the given question,
[tex]A_0=500[/tex]
r = [tex]\frac{1}{4}=\frac{25}{100}[/tex]
Therefore, equation for the decrease in number of candies will be.
[tex]A=500(1-0.25)^n[/tex]
[tex]A=500(0.75)^n[/tex]
Learn more,
https://brainly.com/question/2193820
Find the perimeter and area of the figure
Answer:
C.
Step-by-step explanation:
C. is the only answer option with the correct perimeter of 18u
area is correct too
Answer:C
Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.
snfnannfmskfmskfkwkwmfne
Answer:
45 degrees
Step-by-step explanation:
DBC: 180 - 135
DBC: 45 degrees
Hope that helps!
Um.. would anyone like to help? !
Answer:
12
Step-by-step explanation:
The function is just saying that 1/3 of a number is 4
Of the list given the only number when you take 1/3 of it equals 4 is 12
There is only one solution
12
In the interval 0º < x < 360°, find the values of x for which tan x= -0.6745
Give your answers to the nearest degree.
Step-by-step explanation:
Given interval
0º < x < 360°
tan X = - 0.6745
tan X = tan 146 ° , tan 326
Either
tan X = tan 146
x = 146°
Or
tan X = tan 326°
x = 326°
Therefore the answers are
x = 146° and 326°
Hope it will help :)❤
A machine used to fill beverage cans is supposed to supply exactly 16 ounces toeach can, but the actualamount supplied varies randomly from can to can. The machine is calibrated so that the population standard deviation is 0.04 ounces. How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence
Answer:
48 cans must be sampled.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The machine is calibrated so that the population standard deviation is 0.04 ounces.
This means that [tex]\sigma = 0.04[/tex]
How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?
n cans must be sampled, and n is found when M = 0.015. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]
[tex]0.015\sqrt{n} = 2.575*0.04[/tex]
[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]
[tex]n = 47.2[/tex]
Rounding up, 48 cans must be sampled.
Please answer at least one of the pictures attached below
Answer:
HOLD ON ILL BE RIGHT BACK
Step-by-step explanation:
If each side of the prism is three times longer, what is the volume of that prism
Answer:
1620 m³
Step-by-step explanation:
To find the answer, we simply have to multiply the three values by three, and then multiply those new values together. 5 x 3 = 15, 4 x 3 = 12, 3 x 3 = 9, Multiply 15 x 12 x 9 and you get 1620.
(P.S. Make sure you put meters cubed [m³]! Some teachers are very picky about that.)
Mary has a garden shaped like the figure below. The drawing is not to scale.
22 ft
18 ft
18 ft
11 ft
14 ft
5 ft
What is the area of the garden?
Answer:
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
14 x 5=70
22 x 4 = 88
14 x 6 =84
84/2= 42
70 + 88 + 42 = 200
answer this asap plsssssssssssssssssssssss
Answer =6
Step-by-step explanation:
-2 through positive 3, i'm sorry if this is incorrect!
A study of malaria transmission in Africa tested whether drinking beer increased attractiveness to mosquitoes. Yes, this is a real story (Lefevre et al. 2010. PLOS One5:e9546), and for simplicity I have changed some details from what they actually did. The researchers opened a container of 50 mosquitoes and looked at what proportion of the 50 mosquitoes left the container and flew towards the volunteer person. They did this experiment with 30 persons and each person was tested twice, once before they drank anything and then (an hour later) after they had consumed a beer. Assuming that the proportions of mosquitoes are normally distributed and the variances are similar, what would be the best test to see if more mosquitoes are attracted to people after drinking a beer
Answer:
The best test to see if more mosquitoes are attracted to people after drinking beer is the z-test for the difference in proportion of two populations
Step-by-step explanation:
The study tested if drinking bear increases the attractiveness to mosquitoes
The number of people the taking part in the study, n = 30 people
The total number of mosquitoes in the study = 50 mosquitoes
The proportion of mosquitoes flying to each volunteer is measured before and one hour after consuming bear
The mean number of mosquito flying towards a volunteer can be found by summing the other proportions that fly towards the 30 volunteers and dividing by n₁ = 30, before and n₂ = 30 after the respondents had bear to obtain [tex]\hat{p}_{1}[/tex] and [tex]\hat{p}_{2}[/tex]
Given that the variances are equal and the sum of the sample for the two tests, n₁ + n₂ = 60 > 30, it is, best to use the the z-test for the difference in proportion as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Where the pooled mean, [tex]\hat p[/tex], is given as follows;
[tex]\hat p = \dfrac{n_1 \cdot \hat p_1 + n_2 \cdot \hat p_2}{n_1 + n_2}[/tex]
What's all equivalent to 7/8
Answer:
0.875?
Step-by-step explanation:
I just did 7 divided by 8
Answer:
14/16
49/56
Step-by-step explanation:
I looked it up for you!!!
PLEASE HELP ME NO LINKS I AM BEGGING U !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
x = 70
Step-by-step explanation:
The measure of the angle x° is half the sum of the intercepted arcs.
x° = (112° +28°)/2 = 140°/2
x° = 70°
Find f(-3) when f(x) = -x + 1
Answer:
4
Step-by-step explanation:
so when it says f(x)=-x+1
the x values are constant so what value is in f(x) the value of x goes right into -x+1
f(-3)=-x+1
f(-3)=-(-3)+1
f(-3)=4
Answer:
yea the anwser is 4
（>﹏<）
Is it a right triangle please help!
Answer:
no
Step-by-step explanation:
Hello There!
We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem
The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared
so if it is a right triangle then
[tex]74^2=71^+24^2[/tex]
[tex]74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617[/tex]
5617 is not equal to 5476 therefore the given side lengths do not form a right triangle
~TheMathWIz
A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month?
Answer:
464 kg butter
Step-by-step explanation:
45% of 320 kg - 144
320+140-464
Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence is this?
Answer:
increasing sequence of +7
Step-by-step explanation:
please mark brainiest
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1 Anthony purchased a car for $9,400. He paid 6.5% sales tax. How much tax did he pay?
Answer:
$8789
Step-by-step explanation:
you suptract 9,400. and 6.5%
Answer:
answer is $8789
Step-by-step explanation:
she is correct
HELP don’t answer of u don’t know ty
Answer:
Telling Now magazine costs the least per issue.
Step-by-step explanation:
Cost of Roller's Magazine per issue=$18/6=$3
Cost of International Traveler per issue=$32/8=$4
Cost of Telling Now per issue=$25/10=$2.5
Cost of Greatest Adventures per issue=$36/12=$3
The cost of Telling Now magazine per issue is the least one of all.
what is the difference in hours and minutes between these times 10:35 2:40
Answer:
10:35
11:35
12:35
1:35
2:35
=Thats 4 hours
and then 40-35=5
So 4hours 5 minutes
Answer:
yeah
Step-by-step explanation:
im reply cause I want to ask a questionbx
16
15. The dimensions of a triangle
with base 4 m and height
5 m are multiplied by 3. How
is the area affected?
Answer:
It increases it by 9.
Step-by-step explanation:
Given the following data;
Base = 4m
Height = 5m
Area of triangle = ½*base*height
Area of triangle = ½*4*5
Area of triangle = 2 * 5
Area of triangle = 10 m²
Multiplying the parameters by 3, we have;
Base = 4 * 3 = 12m
Height = 5 * 3 = 15m
To find the area of triangle;
Area of triangle = ½*base*height
Area of triangle = ½*12*15
Area of triangle = 6 * 15
Area of triangle = 90 m²
Therefore, multiplying the dimensions by a factor of 3 increases the area by 9.
A number is added to 12, and the result divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number?
Answer:
1 1/3
Step-by-step explanation:
(x+12)/2 = 4-x
Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x
Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8
Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4
Step 4, divide by 3. x = 1 1/3
Answer:
the number is 20
Step-by-step explanation:
Equation: let x be the missing number
x + 12 ÷ 2 = x - 4
first step: multiply 2 on both sides to get rid of the division
x + 12 ÷ 2 × 2 = x - 4 × 2
x + 12 = 2x - 8
second step: add 8 on both sides:
x + 12 + 8 = 2x - 8 + 8
x + 20 = 2x
third step: subtract x on both sides:
x - x + 20 = 2x - x
20 = x
to check: substitute 20 for x
x + 12 ÷ 2 = x - 4
20 + 12 ÷ 2 = 20 - 4
32 ÷ 2 = 16
16 = 16
SOME ONE PLS HELP ME ASAP OP THE TEACHER CALLED ON ME AND SHE SAID THAT I HAVE 5 MINS TO FIGURE THIS OUT
Answer:
a F
Step-by-step explanation:
Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.
If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10[tex]^{-5}[/tex] which is F.
Answer:
option A F is the answer
3.6 x 10^-5
Step-by-step explanation:
i have a tip for you,
if the number is smaller starting with 0.000....
then the exponent will be a negative number
WHAT'S 675 DIVIDED BY 8 HELPPPP PLEASE TELL ME THE NUMBERS TO SHOW MY WORK
Answer:
85.625 is the answer
Step-by-step explanation:
or, 85 whole 5/675
Which angle measure is a complement of an angle whose measure is 62 degrees?
A 96
B 118
C 16
D 28
angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.
Answer:
D 28 is your answer
Valeria operates an orange juice stand. On Monday, she used 4 1/2
Tuesday she used 3/4 as many oranges as on Monday. How many bags of oranges did Valeria use on
Tuesday?
Answer:
0.37
Step-by-step explanation:
I need help. 18 = a/2
[tex]a = 36[/tex] ✔
Step-by-step explanation:
[tex]18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flower costs $12. How many can she purchase without going over her budget?
Answer:
only 3
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE BRAINLIEST
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Which expression is equivalent to -3 (x - y) ?
0 -3x -3y
0-3x + 3y
0 -3x - y
0-3x + y
Answer:
-3 (x - y)
expand
-3.(x) -3 (-y)
-3.(x) +3 (y) multiplication of (-1).(-1) = (+1)
Step-by-step explanation:
Write an expression that represents the area of only the red shaded region in terms of x
Answer:
1st find the area of bigger rectangle ie l×b
again find area of small rectangle ie l×b
now subtract area of small rectangle by bigger one you get the area of shaded part