Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{8,903 = e^{5x}}}[/tex]
[tex]\huge\textbf{Simplify:}[/tex]
[tex]\mathsf{8,903 = e^{5x}}}[/tex]
[tex]\mathsf{e^{5x} = 8,903}}[/tex]
[tex]\huge\textbf{Solve for the exponent:}[/tex]
[tex]\large\textsf{We get: }\downarrow\\\\\mathsf{2.718282^{5x}=8903}[/tex]
[tex]\huge\textbf{Take the logarithm from both sides:}[/tex]
[tex]\mathsf{log(2.718282^{5x}) = log(8,903x)}[/tex]
[tex]\large\textsf{We get:}\\\\\mathsf{5x \times log(2.718282)=log(8903)}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{5x = \dfrac{log(8903)}{log(2.718282)}}[/tex]
[tex]\large\textsf{We get: }\\\\\mathsf{5x = 9.094143}[/tex]
[tex]\huge\textbf{Divide 5 to both sides:}[/tex]
[tex]\mathsf{\dfrac{5x}{5} = \dfrac{9.094143}{5}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{x= \dfrac{9.094143}{5}}[/tex]
[tex]\mathsf{x = 1.818829}[/tex]
[tex]\mathsf{x \approx 2}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x =}\frak{\ 1.818829}}\huge\checkmark[/tex]
[tex]\large\textbf{Or if you're estimating your answer}\downarrow[/tex]
[tex]\huge\boxed{\mathsf{x \approx }\frak{\ 2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Related Questions
Given f(x) =-x^2 + 2x + 9, find f (3)
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \:f(x) = {x}^{2} + 2x + 9[/tex]
[ plug in the value of x in the expression ]
[tex]\qquad \sf \dashrightarrow \: f(3) = (3) {}^{2} + 2(3) + 9[/tex]
[tex]\qquad \sf \dashrightarrow \: f(3) = 9+6 + 9[/tex]
[tex]\qquad \sf \dashrightarrow \: f(3) = 24[/tex]
Create a problem in which you subtract two five digit numbers to get a difference of 66827
?-?=66,827
Answers
Answer:
96,100-29273=66,827
Step-by-step explanation:
Make up a number higher than 66,827
I chose 96,100
find the difference between the number made up (EX. 96,100)
EX. 96,100- 66,827 = 29273
Then double check your answer as it is easy to make mistakes
96,100-29273=66,827
spent over an hour, please help me get this finished quick..!
Answers
The unit rate of the number of pages penny reads per hour is; 56 pages per hour
How to find the unit rate?A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
Now, we are told that;
Number of pages penny reads = 14 pages
Time he takes to read the 14 pages = 1/4 hours
Thus, applying the concept of unit rate gives;
Unit rate = 14/(1/4)
Unit rate = 14 * 4/1
Unit rate = 56 pages per hour
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If there are 6 lollipops and 36 candy bars for a gift bag, fill out all of the possible
ratios of lollipops to candy bars that could be made.
There are 6 lollipops for every 36 candy bars (6:36 ratio)
lollipops for every candy bars try
There are
Type in an equivalent ratio of lollipops and candy bars.
Answers
Answer:
6 : 36. You are already said the answer????.
Step-by-step explanation:
What do you notice about the two amounts: 6 and 36? Well, 36 is a multiple of 6, since 6•6 (or 6²) equals 36. So, we can reduce the ratio by a factor of 6.
However, let’s determine the percentage of lollipops to candy bars. To do so, we will convert the ratio into a fraction. Remember, fractions are a comparison of parts to a whole, where the whole is the total quantity of something and the numerator is the amount of parts. Therefore, we need to find the total amount of candy, meaning the sum of lollipops and candy bars in order to form a fraction. Thus, we’ll add the ratio quantities together, and that will provide the denominator of the fraction.
6+36=42
We want to see the percentage of lollipops to the total amount of candy, so we’ll use 6 as the numerator. This gives us the fraction:
6/42 = 14.285%
This percentage is important because if it matches the simplified ratio, we have a proportional relationship, which means we have an equivalent ratio. We have already determined that we can reduce the ratio by a factor of 6, so let’s do that:
6:36 ——> 6/6:36:6 ——> 1:6
The simplified ratio is 1:6, so there is 1 lollipop for every candy bar. Let’s make sure the percentage of this ratio shows an equivalent relationship with the original. So, we’ll convert this ratio into a fraction by the same process as the last one: add the two values together and that sum will be the denominator.
1+6=7
1 is the numerator:
1/7 = 14.285%
The percentages are equal, so the answer is: 1:6
Roll a pair of dice 10 times and count the number of times the sum is 6.
A. Binomial B. Geometric C. Cannot Determine
Answers
Binomial is the correct Answer. Roll a pair of dice 10 times and count the number of times the sum is 6 is a Binomial distribution.
Random variables of this type have several characteristics, but the key one is that the experiment that is being performed has only two possible outcomes - success or failure, which is called Binomial distribution.
A binomial experiment that satisfies these four conditions:
A fixed number of trialsEach trial is independent of the othersThere are only two outcomesThe probability of each outcome remains constant from trial to trial.A fair six-sided die is rolled ten times, and the number of 6's is recorded
There is a fixed number of trials ten rolls, each roll is independent of the others, and there are only two outcomes either it's a 6 or it isn't, and the probability of rolling a 6 is constant.
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4 1/4(x-4) =17 pls i need to get my grade up asap
Answers
[tex]4 \frac{1}{4}(x-4)=17[/tex]
1. Simplify.
[tex]\frac{17}{4} x-17=17[/tex]
2. Add 17 to both sides.
[tex]\frac{17}{4} x-17+17=17+17[/tex]
[tex]17/4x=34[/tex]
3. Multiply both sides by 4/17.
[tex]\frac{4}{17} \times(\frac{17}{4}x )=(\frac{4}{17}) \times(34)[/tex]
[tex]x=8[/tex]
I need help for this khan pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeese
Answers
The answer is 75.96 degree.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: The perpendicular = 2 and base=8
Thus tan ∅ = 2/8
tan ∅=1/4
∅=tan⁻¹(1/4)
= 14.03
Therefore the required angle is 180-(90+14.03)= 75.96°
Hence, The answer is 75.96 degree.
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3. Solve the triangle using either Law of Cosines or Law of Sines. In △HPK, k=20, p=17 and h=30.
Answers
Answer: X = 25
Step-by-step explanation: We can use the Law of Cosines to solve for the remaining side of the triangle, which we'll call "x".
The Law of Cosines states that:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this triangle, we are trying to find side "x" (c) so we can use the following equation:
x^2 = 20^2 + 17^2 - 2(20)(17)cos(H)
Now we can substitute the known values into the equation:
x^2 = 400 + 289 - 680cos(H)
Now we can solve for x by taking the square root of both sides:
x = sqrt(400 + 289 - 680cos(H))
= sqrt(689 - 680cos(H))
= sqrt(9 + 289cos(H))
Alternatively, we can use Law of Sines to solve for side x.
The Law of Sines states that a/sin(A) = b/sin(B) = c/sin(C)
Knowing all the angles in the triangle we can use the following equation
x/sin(K) = 20/sin(P) = 17/sin(H)
Now we can substitute the known values into the equation
x = (20*17)/sin(H)
In both case we get x = 25.
Concluding that there is an effect when in reality no effect exists is known as a: A Type II error. B Type I error. C Standard error
Answers
Concluding that there is an effect when in reality no effect exists is known as a: Standard error.
The approximate standard deviation of a statistical sample population is known as the standard error (SE) of a statistic.
By utilizing standard deviation, the standard error is a statistical concept that assesses how accurately a sample distribution represents a population. In statistics, the difference between a sample mean and the population's actual mean is known as the standard error of the mean.
The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error.
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complete the following sentence. a || b || c so a [?] c
Answers
If a || b || c, then a || c using Euclid's axiom.
What is parallel lines?Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees). Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation.
Here,
given,
a || b || c
Euclid's axiom states that “Things which are equal to the same thing are equal to one another.” Here, A and C are things which are equal to B, so A=C.
so using this,
a || c
If a || b || c, then using Euclid's axiom, a || c.
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what kind of tax is proposed by those who want a simple tax?
A. Progresssive Tax
B. Flat Tax
C. Tax with only 5 tax brackets
D. Those who want a simple tax want no tax
Answers
Those who want a simple tax want no tax, therefore option D is correct answer.
What is tax?Taxes are mandatory payments that citizens and businesses must make to the government, whether they are local, regional, or federal. Tax revenues are used to pay for government programmes like Social Security and Medicare as well as public works and services like roads and schools.
Taxes are paid by whoever is responsible for covering their cost, whether that is the taxed entity, such as a business, or the consumers of the goods that the business produces.
From an accounting perspective, all taxes, including payroll taxes, federal and state income taxes, and sales taxes, must be considered.
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Find the lengths of the diagonals of rectangle WXYZ.
WY - 14x + 10
XZ = 11x + 22
The length of each diagonal is ___ units.
Answers
Answer:
66 units
Step-by-step explanation:
Diagonals in a rectangle are congruent (equal)
14x + 10 = 11x + 22
Subtract 11x from the right side and subtract -10 from the left to isolate the x's with a constant
You would get: 3x = 12
Divide both sides by 3 to isolate the x by itself;
You would get: x = 4
Next, plug in the value of 4 for whichever equation you want.
11(4) + 22 is what I chose and I got 66.
Hope this helps.
Answer: -4
Step-by-step explanation: u have to do -14x+11x=-3 then u do 22-10=12 now u have to do 12 divide by -3 and u will get -4 as ur answer
help me for a cooki pliss
Answers
Answer:
( Where is says “ Use the answers to the problems above to help solve some of those below “ I cannot see the left side. Therefore, I cannot help you there )
3/4 of 32=24
74x32=2368
1/4 of 33=8.25
74x33=2442
0.75x32=24
76x32=2432
0.75x33=24.75
76x33=2508
75x32=2400
0.76x32=24.32
75x33=2475
0.76x33=25.08
24x96=2304
75x37=2775
0.74x32=23.68
76x112=8512
Step-by-step explanation:
Y=-2x-4 y=1/2x +6 what is the solution of the system of equation
Answers
Answer: To find the solution of a system of equations, we can either use substitution or elimination method.
For this system of equations, we can use the substitution method:
First, we solve one equation for one of the variables. For example, we can solve the first equation for y: y = -2x - 4
Then, we substitute this expression of y into the second equation and solve for x: 1/2x + 6 = -2x - 4
We can simplify this equation by adding 2x to both sides: 1/2x + 2x + 6 = -4
And then by adding 6 to both sides: 1/2x + 2x + 12 = 2
And then by multiplying both sides by 2: x + 4x + 24 = 4
And then by simplifying: 5x = -20
Finally, we find x = -4
Now that we have found x, we can substitute it back into one of the equations to find y:
y = -2(-4) - 4 = 8 - 4 = 4
So the solution of the system of equations is x = -4 and y = 4
We can check that this solution satisfies both equations.
Step-by-step explanation:
Convert the measurement.
5 qt =
fl oz
Answers
Answer: 160 fl oz
Step-by-step explanation: 5qt x 32fl oz= 160 fl oz
Find the length of side PR rounded to the nearest inch.
Answers
Rounded to the nearest inch, the length of side PR is 75 inches.
What is law of sines and explanation for above answer?The law of sines states that for any triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same for all three sides.In order to find the length of side PR, we can use the law of sines. The law of sines states that for any triangle with sides a, b, and c and angles A, B, and C opposite those sides, the following equation holds:a/sin(A) = b/sin(B) = c/sin(C)In this case, we can call side PR "a", side PQ "b", and side QR "c". We know the length of sides PQ (80 inches) and QR (19 inches), and the measure of angle Q (370 degrees).Using the law of sines:PR/sin(370) = 80/sin(49)PR = (80 * sin(370))/sin(49)Using a calculator, the value of PR is approximately 74.5 inches.To learn more about law of sines refer:
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Wal-Mart is selling cards for $2.75. They bought them for a dollar from the manufacturer. What is the percentage of increase in price?
Answers
Answer:
The percentage of increase in price is 175%. To calculate this, you can subtract the cost price (in this case, $1) from the selling price ($2.75) to find the profit ($1.75). Then divide that profit by the cost price and multiply by 100 to express it as a percentage.
$2.75 - $1 = $1.75
$1.75/$1 * 100 = 175%
If you want to calculate the percentage increase in price, use the formula:
Percentage Increase = (New Price - Original Price) / Original Price x 100
In this case, the original price is $1 (the price of buying the cards) and the new price is $2.75 (the price of selling the cards). So, plugging these values into the formula:
Percentage Increase = (2.75 - 1) / 1 x 100 = 175%
The percentage increase in price is 175%.
28% of the amount in Keith’s savings is $350. How much money does Keith have in his savings?
Answers
Answer:
1250 in savings
Step-by-step explanation:
Juanita's school is selling tickets for a theater performance.
One family bought 1 adult ticket and 3 children's tickets for a total of $38.
Another family bought 2 adult tickets and 4 children's tickets for a total of $60.
Find the price of an adult ticket and the price of a children's ticket.
Answers
The price of an adult ticket is $14 and the price of a children's ticket is $8.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Let x be the price of an adult's ticket and y be the price of a children's ticket.
One family bought 1 adult ticket and 3 children's tickets for a total of $38.
x + 3y = 38
Another family bought 2 adult tickets and 4 children's tickets for a total of $60.
2x + 4y = 60
We have two linear equations in two variables here.
x + 3y = 38
2x + 4y = 60
Multiplying the first equation throughout by 2, we get,
2x + 6y = 76
Subtracting the second equation 2x + 4y = 60 from the multiplied first equation 2x + 6y = 76, we get,
2x + 6y - (2x + 4y) = 76 - 60
2y = 16
y = 8
x + 3y = 38 ⇒ x = 38 - 24 = 14
Hence the price of an adult's ticket and children's ticket is $14 and $8 respectively.
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for the frame and loading shown, determine the force acting on member abc (a) at b, (b) at c.
Answers
The force of the thrust loaded and supported as 12KN
By taking into account the equilibrium of the entire truss, it is possible to predict the reaction at the supports. Only the vertical component of the reaction at the ends A needs to be taken into account since both external loads are vertical. Given that the angle of the triangle AEC is 90 degrees, it has a right angle.
AE = AC cos 60º = 5 X 0.5 = 2.5m
CE = AC sin60º = 5 X 0.866 = 4.33m
Due to the fact that triangle ABE is an equilateral triangle,
AB = BC = AE = 2.5m
A right-angle triangle with an angle, the triangle BDC is once again
BDC = 90º
Also, BC = AC – AB = 5 – 2.5 = 2.5m BD = BC cos 60º = 2.5 X 0.5 = 1.25m
path of action of 12 KN force away from joint A,
AG = AB + BG
= AB + BD cos 60º = 2.5 + 1.25 X 0.5 = 3.125m
RC X 5 = 12 X 3.125 + 10 X 1.25 = 50 RC = 10KN ...(i) ∑V = 0, RC + RA = 10 + 12 = 22KN RA
= 12KN
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The question is incomplete, The question is:
Determine the force of the thrust loaded and supported as shown in fig
Student representatives surveyed their classmates on their preference of a school mascot for a new school. The results are shown in the table below. Which pair of samples seems most representative of student preference?
Mascot Survey
Sample 1
Sample 2
Sample 3
Artichokes 15 Artichokes 0 Artichokes 3
Bears 28 Bears 53 Bears 48
Citizens 17 Citizens 7 Citizens 9
Sample 1 and sample 2 are most representative because there is less difference between the numbers of students that chose each mascot.
Sample 2 and sample 3 are most representative because the relationship between preferences is consistent.
Sample 1 and sample 3 are most representative because 0 should not appear in a sample.
None of the samples are representative because none of the values remained constant.
Answers
The pair of samples that seems most representative of student preference is Sample 2 and sample 3 are most representative because the relationship between preferences is consistent. Option 2
How to get the most representative preferenceIn order to get the most representative preference, we would have to get the value by subtracting the data in s2 and s3
Such that for antichokes we have 3 - 0 = 3
for bears 53 - 48 = 5
For citizens 9 -7 = 2
Hence the second option is the best solution here. This is as the in choosing the mascot is less here.
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Answer: BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
HAVE A NICE DAY EVERYBODY LEAVE SOME THANKS AND ADD ME AS A FRIEND AND TEXT ME
Step-by-step explanation:
What’s the answer to this bottom question?
Answers
The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes.
How do you find the average rate of change?When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.
A ratio is used to express the rate of change, which contrasts the values of the y and x variables. The slope of the line represents the rate of change if it is linear, constant, and so on. Positive, negative, zero, or undefinable slopes are all possible for lines.
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PLEASE HELP! Tony is making a circular, glass tabletop with a radius of 22 inches. Approximately how much glass does he need to make the tabletop?
A. 138.16 square inches
B. 379.94 square inches
C. 1,519.76 square inches
D. 6,079.04 square inches
Answers
Area of a circle formula:
A=π•r²
Input the known values into the formula. We know the radius is 22in.
A=π•(22)²
A=π•484
A≈1,520in²
So, your answer is option C.
A business analyst was interested in the relationship between a company's sales and its profits. She collected data (in millions of dollars) from a random sample of big business companies and created the accompanying regression summary statistics. The assumptions for regression inference appeared to Co satisfied. Complete parts a) and b) below, a) Is there a statistically significant association between sales and profits? Test an appropriate hypothesis and state your conclusion in context. Use a significance level of alpha = 0.05. State the null and alternative hypotheses. A. H_0: There is a linear relationship between sales and profits, beta_1 notequalto 0. H_A: There is a negative relationship between sales and profits, beta_1 < 0. B. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A: There is a linear relationship between sales and profits, beta_1 notequalto 0. C. H_0: There is a positive relationship between sales and profits, beta_1 > 0. H_A: There is a negative relationship between sales and profits, beta_1 < 0. D. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A: There is a positive relationship between sales and profits, beta_1 > 0.
Answers
A) The appropriate hypothesis test to determine if there is a statistically significant association between sales and profits is B. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A:
There is a linear relationship between sales and profits, beta_1 ≠ 0. This test will determine if there is a linear relationship between the two variables, regardless of the direction of the relationship (positive or negative).
B) The conclusion of this test would be based on the p-value obtained from the test. If the p-value is less than the significance level of 0.05, we would reject the null hypothesis and conclude that there is a statistically significant linear relationship between sales and profits.
If the p-value is greater than 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a linear relationship between the two variables.
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I have no idea how to figure this out. I've been stuck on it for a while
Answers
Answer:
Step-by-step explanation:
x=-1/2,1/2
Step-by-step explanation:
4x^2 - 1 = 0
(2x - 1)(2x + 1)= 0
x = 1/2
x = -1/2
What is the ⌊-2.4⌋
Question 2 options:
-2
0
-3
-4
Answers
Answer: -3
Step-by-step explanation:
ubuve 2.2 it stay the same -2.4 is -3
Determine the range for the given domain D: {-3, 0, 2,7} in f(x) = | x^2 -5|
Answers
The range for the given domain is {4, -5, -1, 44}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Here set A is the domain and the images of the elements of set A is range.
Given the function,
f(x) = x² - 5
Domain is {-3, 0, 2, 7}
Domain is the values of x and range is the value of f(x).
If x = -3, f(x) = (-3)² - 5 = 4
If x = 0, f(x) = 0² - 5 = -5
If x = 2, f(x) = 2² - 5 = -1
If x = 7, f(x) = 7² - 5 = 44
So the range is {4, -5, -1, 44}
Hence the set {4, -5, -1, 44} is the range of the function given.
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Solve the following equation:
3x² = -12
a. X-2
b.
x=-2
C. No real solutions
d.
x= ±2
Answers
Answer:
[tex]\huge\boxed{\sf Option\ C.}[/tex]
Step-by-step explanation:
Given equation:3x² = -12
Divide both sides by 3x² = -12/3
x² = -4
Take square root on both sides√x² = √-4
x = √-1 × √4
We know that [tex]\sqrt{-1} =i[/tex]
x = ±2ii(iota) is an imaginary number. So, we can say that the equation has no real solutions.
[tex]\rule[225]{225}{2}[/tex]
Compute the lower Riemann sum for the given function f(x) = 4 - x^2 over the interval x E [0,1] with respect to the partition P = [0, 1/2, 3/4, 1]
Answers
Answer:
[tex]\dfrac{223}{64}=3.484375[/tex]
Step-by-step explanation:
The Riemann sum is a method by which we can approximate the area under a curve using a series of rectangles.
The Lower Riemann Sum uses the minimum height of the rectangle on each subinterval.
As the Lower Riemann Sum is entirely below the curve, it is an underestimation of the area under the curve.
The number of partitions is the number of rectangles used.
Partitions can be of equal length or not of equal length.
Given:
Function: f(x) = 4 - x²Interval: [0, 1]Partition, P = [0, 1/2, 3/4, 1]The given partition divides the interval [0, 1] into 3 subintervals:
[0, 1/2], [1/2, 3/4] and [3/4, 1]To calculate the areas of the rectangles, multiply the width of each rectangle by its height.
The width is the difference between the x-values of each subinterval.
The height is the minimum value of the function across the subinterval. For the given function, this is the value of the function for the right side of the subinterval.
First rectangle [0, 1/2]:
[tex]\begin{aligned}\implies \left(\dfrac{1}{2}-0\right) \cdot f\left(\dfrac{1}{2}\right)&=\dfrac{1}{2} \cdot \left(4-\left(\dfrac{1}{2}\right)^2\right)\\\\&=\dfrac{1}{2} \cdot \dfrac{15}{4}\\\\&=\dfrac{15}{8}\end{aligned}[/tex]
Second rectangle [1/2, 3/4]:
[tex]\begin{aligned}\implies \left(\dfrac{3}{4}-\dfrac{1}{2}\right) \cdot f\left(\dfrac{3}{4}\right)&=\dfrac{1}{4} \cdot \left(4-\left(\dfrac{3}{4}\right)^2\right)\\\\&=\dfrac{1}{4} \cdot \dfrac{55}{16}\\\\&=\dfrac{55}{64}\end{aligned}[/tex]
Third rectangle [3/4, 1]:
[tex]\begin{aligned}\implies \left(1-\dfrac{3}{4}\right) \cdot f\left(1\right)&=\dfrac{1}{4} \cdot \left(4-\left(1\right)^2\right)\\\\&=\dfrac{1}{4} \cdot 3\\\\&=\dfrac{3}{4}\end{aligned}[/tex]
Therefore, the Lower Reimann Sum for the given function over the given interval and partitions is the sum of the area of the rectangles:
[tex]\implies \dfrac{15}{8}+\dfrac{55}{64}+\dfrac{3}{4}=\dfrac{223}{64}=3.484375[/tex]
I am confused what is the micrograms per day
Answers
Answer:
1 microgram per day = 0.000000001/86400 kilograms per second