Actually neither is greater.
these two numbers are equal to each other.
All because 8.720 has an extra number doesn't mean its greater. Because the number place is 0 is gives no significant value and is therefore the same as 8.72.
The bottom line is...
8.72 = 8.720
Jordan works in a science lab where he is studying the behavior of a certain unstable isotope. He has 240 milligrams of the sample, and the amount of the substance remaining in the sample decreases at a rate of 8% each day. After t days, there are less than 115 milligrams of the substance remaining. Which inequality represents this situation, and after how many days will the amount of the sample be less than 115 milligrams?
A. 115(0.92)t < 240; 10 days
B. 240(0.92)t < 115; 9 days
C. 240(1.08)t < 115; 9 days
D. 115(1.08)t < 240; 8 days
Answer:1) B. 240(0.92)^t < 115; 9 days is the inequality which represents the situation.
2)After t=9 days the amount of the sample be less than 115 milligrams.
Step-by-step explanation:
The amount of sample which Jordan had in starting a =240 milligrams
rate of decreasing it r =8%=0.08
let t be the number of days the amount of sample took to become 115 milligrams then by the exponential decay function
[tex]f(t)=a(1-r)^t[/tex] where f(t) =115
[tex]115=240(1-0.08)^t....(1)\\\Rightarrow\frac{115}{240}=(0.92)^t\\\Rightarrow0.479=(0.92)^t\\\text{taking log on both sides ,we get}\\log(0.479)=log((0.92)^t)\\\Rightarrow\ log(0.479)=t\ log(.092)\\\Rightarrow\ -0.735=t(-0.0833)....\text{after solving log values}\\\Rightarrow\ t=\frac{-0.735}{-0.833}\approx8.82 days[/tex]or 9 days(approx ).
therefore, after t=9 days the amount of the sample be less than 115 milligrams.
So ,the right inequality which represent the situation is
B. 240(0.92)^t < 115; 9 days (from (1))
Answer:
B. 240(0.92)t < 115
9 days.
Step-by-step explanation:
We are told that Jordan works in a science lab where he is studying the behavior of a certain unstable isotope. He has 240 milligrams of the sample, and the amount of the substance remaining in the sample decreases at a rate of 8% each day. After t days, there are less than 115 milligrams of the substance remaining. We are asked to write an inequality to represent this situation.
An exponential function representing decay will be our inequality.Let us write an inequality for this situation.
[tex]240(1-0.8)^{t} <115=240(0.92)^{t} <115[/tex], where 240 is our initial amount of substance, 0.8 is decrease factor.
Now let us solve our inequality to find out number of days.
[tex](0.92)^{t} <\frac{115}{240}[/tex]
Upon taking natural log of both sides of inequality,
[tex]ln(0.92)^{t} <ln\frac{115}{240}[/tex]
[tex]t\ln \left(0.92\right)<ln(\frac{115}{240})[/tex]
[tex]-0.08338160t < -0.73570679[/tex]
[tex]t>8.82[/tex]
Upon rounding up our answer to nearest integer we can see that option B is correct. Therefore, our answer will be option B.
twice the larger of 2 consecutive integers equal 15 less than 3 times the smaller
Answer:
the two integers are 17 and 18
Step-by-step explanation:
Let x represent the smaller integer. Then x+1 is the larger. The problem statement tells us
... 2 × larger = -15 + 3 × smaller
... 2(x+1) = -15 + 3x . . . substitute variable expressions for 'larger' and 'smaller'
... 2x +2 = 3x -15 . . . . . eliminate parentheses
... 17 = x . . . . . . . . . . . . .add 15-2x
The smaller integer is 17, so the larger is 18.
_____
Check
2×18 = 36 = 3×17 -15 = 51-15
Let's take the first number as 'x' ( This would be the smaller number )
Let's take the second number as 'x+1' ( This would be the larger number )
I have taken x and x+1 because both these numbers are consecutive.
Twice the larger number :-
... 2 ( x + 1 )
... 2x + 2
15 less than thrice the smaller number :-
... 3x - 15
The question states that these both values are equal. Hence,
... 2x + 2 = 3x - 15
... 2 + 15 = 3x - 2x
... 17 = x
The value of 'x' is 17
( The smaller number is 17 )
Larger number :-
... x + 1
... 17 + 1
... 18
Hence, the numbers are 17 and 18.
Hope my answer helps!!
show and tell why this is true: the square root of 4 times 9 equals the square root of 4 times the square root of 9. PLEASE HELP QUICK 15 POINTS
because the square root of 4 is 2 and the square root of 9 is 3 which means 2x3=6 and 9x4=36 and the square root of 36 is 6 because 6x6=36
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. -6,-3 6,-7
Answer:
[tex]y = \frac{1}{3}x - 1[/tex]
Step-by-step explanation:
Let the gradient be calculated as follows:
slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]\frac{-7-(-3)}{6-(-6)}\\ = -\frac{1}{3}[/tex]
to find the equation passing through the point we calculate as follows:
[tex]- 3= \frac{1}{3} (-6) + b\\ -1 = b[/tex]
Therefore, the equation of the line is:
[tex]y = \frac{1}{3}x - 1[/tex]
An equation of this graphed line in slope-intercept form is [tex]y=-\frac{1}{3} x-5[/tex].
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-7 - (-3))/(6 - (-6))
Slope (m) = -1/3.
At data point (6, -7) and a slope of -1/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
[tex]y-(-7)=-\frac{1}{3} (x-6)\\\\y+7=-\frac{1}{3} (x-6)\\\\y=-\frac{1}{3} x-5[/tex]
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What fraction of 20 is 18?
Remark
You have to read this carefully to know what way to write it.
One way you could write it would be
20 * x = 18 where x is the fraction. Now all you need do is divide.
Divide both sides by 20
20/20 * x = 18/20
[tex]\text{x = } \dfrac{18}{20}[/tex]
But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.
18: 2 * 3 * 3
20: 2 * 2 *5
Cancel out the Highest common factor or 2.
You are left with
[tex]\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}[/tex] <<<< Answer
★ What fraction of 20 is 18?
In questions like these, when you see the word "of", it is usually used for the denominator. In your question, it says "of 20". That means the denominator will be 20.
Here is your current fraction:
[tex]\frac{x}{20}[/tex]
After that phrase, it says "is 18". The word "of" is used for the numerator. That means the numerator is 18.
Here is your fraction:
[tex]\frac{18}{20}[/tex]
You have your complete fraction, but it can be simplified. Both numbers are even(numbers that end with 2, 4, 6, 8, or 0) and every even number is divisible by 2. You can just divide both numbers by 2.
[tex]\frac{18 \div 2}{20 \div 2} = \frac{9}{10}[/tex]
You have your simplified fraction, which is [tex]\frac{9}{10}[/tex], and it cannot be simplified any further.
Your answer is [tex]\frac{18}{20}[/tex] which becomes [tex]\frac{9}{10}[/tex] when simplified.
If you have any questions, feel free to ask in the comments! :)
What is 2⁴ x 2³ x 2⁶ simplified?
8192, 16 x 8 x 64, 24 = 16, 26= 64, 23= 8
Hey there!
[tex]2^4[/tex] [tex]= 16[/tex]
[tex]2^3[/tex] [tex]= 8[/tex]
[tex]2^6[/tex] [tex]= 64[/tex]
____________________________________________________________
[tex]16(8)[/tex] [tex](64)[/tex]
[tex]16(8)[/tex] [tex]= 128[/tex]
[tex]128(64)[/tex] [tex]= 8192[/tex]
Answer: [tex]8,192[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
PLEASEE Can someone help with this? Look at picture
Answer:
Step-by-step explanation:
Answer is 72 cm2.For step by step explanation please find the attachment.
Mario is making dinner for nine people. Mario by six containers of soup. Each container is 18 ounces. If everyone gets the same amount as to how much to put each person get? How can you solve a simpler problem to help you find a solution?
Amount of soup in each container = 18 ounces
Total number of containers of soup = 6 containers
So, total amount of soup in 6 containers = [tex]6 \times 18[/tex]
= 108 ounces
Total amount of soup for 9 people = 108 ounces
So, amount of soup for 1 people = [tex]108 \div 9[/tex]
= 12
So, each person will get 12 ounces of soup.
9 tenths divided by 4 tenths
the answer is
2.25 it is right
it is 2∪ 1/4...............
which soil can not be rolled up into balls or clumps
Sand
Because as you may be able to see it just goes through your fingers.
For example if you go to the beach and pick up a handful of sand, then let go. It will most likely fall out of your hands.
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Write the equation of the line parallel to the given line and passing through the given point. y=x+5 through (8,1)
Conner opens a new savings account and decides to deposits $100 on the first day of each month into the account which earns 1.0% interest each month. How much is in the account to the nearest dollar, right after Conner makes his last deposit on the first day of the sixth year (the 61st month)?
Given:
monthly deposit, A=100
rate of interest, i = 1% per month = 0.01 per period
compounding period = 1 month (assumed).
Total payments :
n=60 payments of $100 at the end of the month (beginning of the next month) +
1 payment at the beginning of the first month.
Future value after 60 months
= amount due to 60 monthly payments at end of month + value of first payment
= A((1+i)^n-1)/i + A*(1+i)^60
=100(1.01^60-1) + 100(1.01^60)
= 8166.967 + 181.670
= 8348.64 (to the nearest cent)
Answer:
8348.64
Step-by-step explanation:
There 10 less red skittles than orange skittles in the bag. The orange skittles are also twice the number of red skittles. Find the number of red and orange skittles in the bag
Answer:30
Step-by-step explanation:
20+10=30
Please help don't guess
So, just divide:
52.50 / 6 = 8.75
This means that she earns $8.75 an hour.
If this is her hourly salary, then multiply 8.75 x 11
8.75 x 11 = 96.25
So, if Paula works for 11 hours, she will earn $96.25!
Remark
I think you can only do this either as a 2 step question or as a proportion. The easiest way is the proportion.
Proportion
6 hours / 52.50 = 11/x Cross multiply
6*x = 52.50 * 11 Combine the factors on the right
6x = 577.5 Divide both sides by 6
6x/6 = 577.5/6
x = 96.25 Answer
a person who weigh 200 pound on earth would weght about 32 pound on the moon find the weght of person on earth who would weight 15 pound of the moon
40 points!
What creates the convection current inside Earth?
A. Rising and sinking of material
B. Sideways movement material
C. Warming of material as it rises up
D. Cooling of material as it sinks down
Hello...
What creates the convection current inside Earth?
A. Rising and sinking of material
Answer: A. Rising and sinking of material.
Step-by-step explanation:
Convection currents are caused by the cooling of material as it rises up, which leads to the same material to sink. This material then warms as it sinks to rise again. This is why we call them convection currents. Because they both rise, and sink, in a circular motion we call the convection current.
if f(x)=2x^2+3 and g(x)=x2-7,find (f-g)(x)
A.x^2-4
B.3x^2-4
C.3x^2-10
D.x^2+10
Write f(x) above g(x), as shown below:
f(x)=2x^2 + 3
- g(x) = x^2 - 7
--------------------- Next, combine the givens in three columns:
(f-g)(x) = x^2 + 10 (answer)
The arithmetic operation of the functions f(x) and g(x) is x² + 10 if arithmetic operation is (f-g)(x) option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
f(x) = 2x² + 3
g(x) = x² - 7
To find the (f-g)(x)
(f-g)(x) = f(x) - g(x)
Plug the function f(x) and g(x):
The above expression is representing an arithmetic operation of the functions:
(f-g)(x) = f(x) - g(x) = (2x² + 3) - (x² - 7)
(f-g)(x) = 2x² + 3 - x² + 7
(f-g)(x) = x² + 10
Thus, the arithmetic operation of the functions f(x) and g(x) is x² + 10 if arithmetic operation is (f-g)(x) option (D) is correct.
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What is the GCF of 52 and 78? Explain the method you used to find it
HURRY!
Reduce the following fraction: -32abc/64a2bc3
-1/32ac2
You want to cancel out the -32 on the top with the 64 on the bottom leaving -1. Then do the same with the variables.
How to solve the equation:8y + 3y= 44
Add 8y+3y=11y
Divide 44/11y=4
Answer= 4
The solution to the equation 8y + 3y = 44 is y = 4.
To solve the equation 8y + 3y = 44, we can combine like terms and solve for y:
Combine like terms on the left side:
8y + 3y = 44
Simplify:
11y = 44
Divide both sides by 11:
11y/11 = 44/11
Simplify: y = 4
Therefore, the solution to the equation 8y + 3y = 44 is y = 4.
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A girl makes 12 foul shots for every 8 that she misses. how many shots did she make if she shot 125 foul shots? please help me this is my last one
Answer:
75
Step-by-step explanation:
Number of foul shots made by the girl first time = 12
Number of shots missed by the girl first time = 8
Total number of shots played first time = 12 + 8 = 20
Let the number of foul shots made by the girl second time be x
The total number of shots played by the girl second time = 125
Let's set up a proportion,
[tex]\frac{Number of foul shots made by the girl first time}{Total number of shots played first time}[/tex] = [tex]\frac{number of foul shots made by the girl second time}{total number of shots played by the girl second time}[/tex]
=> [tex]\frac{12}{20} = \frac{x}{125}[/tex]
Flip the sides of the equation
[tex]\frac{x}{125} = \frac{12}{20}[/tex]
Multiplying both the sides by 125
[tex]\frac{x}{125}*125 = \frac{12}{20}*125[/tex]
Cancelling out the 125's on the top and bottom from the left side
x = [tex]\frac{12}{20}*125[/tex]
=> x = [tex]\frac{1500}{20}[/tex]
=> x = 75
Number of foul shots made by the girl if she played 125 foul shots = 75
To find out how many shots the girl made, set up a proportion using the ratio of shots made to shots missed. The girl made 187 shots.
Explanation:To find out how many shots the girl made, we can set up a proportion using the ratio of shots made to shots missed. The ratio is 12:8. Let's assume the number of shots made is x. We can create the proportion: 12/8 = x/125. Cross-multiplying gives us 8x = 12 * 125. Solving for x gives us x = (12 * 125) / 8. Evaluating this expression gives us x = 187.5. Since we can't have a fraction of a shot, we round down to the nearest whole number. Therefore, the girl made 187 shots.
EASY POINTS BRAINLIEST
Which answers are examples of the Law of Syllogism?
Select each correct answer.
I will meet my friends at the park if I complete my chores. If I meet my friends at the park, we will go to the duck pond. Therefore, if I complete my chores, we will go to the duck pond.
If a book is a biography, it is nonfiction. Bill is reading a biography. Therefore, the book that he is reading is nonfiction.
All mammals have kidneys. A dog is a mammal. Therefore, a dog has kidneys.
If Bob reads the book, then he will be prepared for the test. If Bob is prepared for the test, then he will get a good grade. Therefore, if Bob reads the book, he will get a good grade.
Answer:
The answers are: A and D (for anyone else looking for answers)
I will meet my friends at the park if I complete my chores. If I meet my friends at the park, we will go to the duck pond. Therefore, if I complete my chores, we will go to the duck pond.
If Bob reads the book, then he will be prepared for the test. If Bob is prepared for the test, then he will get a good grade. Therefore, if Bob reads the book, he will get a good grade.
I just took the test and my correct answers are in the screenshot below :-)
Hopefully its not too late for brainliest!
The revenue for each jumbo biscuit sold is $1, and the revenue from each regular biscuit is sold at $0.65. The cost to make each jumbo biscuit is $0.20, and the cost to make each regular biscuit is $0.15. Can the bakery produce 10 regular biscuits and 55 jumbo biscuits? if not, explain which limitations are violated.
Given that the revenue for each jumbo biscuit sold is $1
Given that the cost to make each jumbo biscuit is $0.20
Then profit on each jumbo biscuit =$1 - $0.20 = $0.80
Since positive profit occurs so producing jubo biscuit is good idea.
Given that the revenue from each regular biscuit is sold at $0.65
Given that the cost to make each regular biscuit is $0.15
Then profit on each regular biscuit =$0.65 - $0.15 = $0.50
Since positive profit occurs so producing regular biscuit is good idea.
As in both business, we are getting positive profit. Infact more profit on jumbo biscuits so YES, bakery can produce 10 regular biscuits and 55 jumbo biscuits.
The bakery can produce 10 regular biscuits and 55 jumbo biscuits. This conclusion is based on calculations showing that the revenue generated from selling these biscuits is higher than the cost to produce them. There are no clear limitations violated.
Explanation:The bakery can indeed produce 10 regular biscuits and 55 jumbo biscuits, as long as it accounts for the cost associated with making each biscuit. We can calculate this through simple multiplication. The cost to make 10 regular biscuits would be 10 * $0.15 = $1.50, and the cost to make 55 jumbo biscuits would be 55 * $0.20 = $11.00.
The revenue from selling 10 regular biscuits would be 10 * $0.65 = $6.50, and the revenue from selling 55 jumbo biscuits would be 55 * $1 = $55. Hence, the total cost of producing these biscuits is $1.50 (for regular biscuits) + $11 (for jumbo biscuits) = $12.50, while the total revenue generated is $6.50 (from regular biscuits) + $55 (from jumbo biscuits) = $61.50.
The revenue generated ($61.50) is clearly higher than the cost of production ($12.50), so it would be financially feasible for the bakery to produce these biscuits. There are no apparent limitations violated.
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Pls need help, due tomorrow...
Question:
Patrick has a 600-meter skein of yarn. He used 248.9 meters of yarn to make a hat. Does he have enough yarn left to make a scarf that uses 354.03 meter if yarn? Explain
Patrick initially has 600 meters of yarn. After using some to make a hat, he only has 351.1 meters of yarn left, which is not enough to make a scarf that requires 354.03 meters.
Explanation:To answer this question, we have to perform a subtraction operation on the total lengths of yarn. Initially, Patrick has a 600-meter skein of yarn. After making a hat, he uses 248.9 meters of yarn. To find out how much yarn is left, we subtract the amount used from the total: 600 - 248.9 = 351.1 meters. You then need to check if 351.1 meters are enough to make a scarf that consumes 354.03 meters of yarn. In this case, we can see that Patrick does not have enough yarn left to make the scarf because 351.1 meters is less than 354.03 meters.
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Consider that x = −5 and y = −4. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Your answer is A. The sum of x and y is a rational number .
Answer:
A) The sum of x and y is a rational number.
Step-by-step explanation:
We will first prove that the given values of x and y are rational and then we will prove the fact that the sum of two rational numbers is a rational number.
A rational number is a number which is in the form [tex]\frac{p}{q}[/tex], where p and q are integers and q ≠ 0.
We can write - 5 as [tex]\frac{-5}{1}[/tex] and clearly 1 ≠ 0.
So, x = -5 is a rational number.
Similarly, y = -4 is also a rational number.
For the second part of the proof, consider any two rational numbers [tex]\frac{p}{q}[/tex] and [tex]\frac{r}{s}[/tex].
Now,
[tex]\frac{p}{q} +\frac{r}{s} =\frac{ps+rq}{qs}[/tex]
Since p, q, r and s are integers, ps + rq is also an integer.
Moreover, since q ≠ 0 and s ≠ 0, qs ≠ 0.
Therefore, [tex]\frac{ps+rq}{qs}[/tex] is also a rational number.
Hence, sum of two rational numbers is also a rational number.
Since x = -5 and y = -4 are rational numbers, x + y = (-5) + (-4) = -9 is also a rational number.
During a sparsely attended basketball game, 18 spectators cheered when Luca made two free throw shots, 6 spectators booed, and 32 spectators were silent. What's a simplified ratio of the number of spectators who cheered for Luca to the number of people who attended the game?
Answer:
9/28
Step-by-step explanation:
There are a total of 18+6+32 = 56 spectators.
Out of this total number, 18 cheered for Luca; this gives us the ratio
18/56.
Both of these are even numbers. This means we can divide both by 2:
(18÷2)/(56÷2) = 9/28
who wrote the book grocery packing at the supermarket
big oof uh
Russel D Bag
a wheel has 16 spokes. How many spaces are there between the spokes?
The sequence is 3,6... is multiplying by 2 correct or adding 3?
The sequence is adding by three
your answer is multiplying by 2
What is the decimal expansion for 1/9
The decimal expansion of 1/9 is 0.1111..., which continues indefinitely. This is achieved by dividing the numerator (1) by the denominator (9). The decimal expansion of a fraction is the expression of that fraction in base 10 notation.
Explanation:The decimal expansion of the fraction 1/9 is 0.1111.... This is achieved by dividing the numerator (1) by the denominator (9). The process of long division would show you that 9 doesn't go into 1, so you add a decimal point and a zero, making the dividend 10. 9 goes into 10 once, so you put a 1 in the quotient above the line. This process repeats itself due to the nature of the divisor 9 and the decimal 0.1111... continues indefinitely.
It's important to note that the decimal expansion of a fraction is an expression of that fraction in base 10 notation. In other words, it is the fraction expressed as a decimal.
For some numbers, this can be a finite number of digits long, and for others, like 1/9, it can be infinitely repeating.
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