Answer:
3.73
Step-by-step explanation:
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Cual es el M.C.D. de 40,60 y 80
Answer:
sorry for gibing you nothing
i apologies i am just typing to get more points
thats fine i guess
Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for $39.43 or buy gas for $3.20/gallon.
Answer:
$3.20/gallon
Step-by-step explanation:
to fill up your tank at $3.20/gallon only costs $38.40
A. 0
B. Nonexistent
C. 1
D. -1
Answer:
\(\displaystyle \lim_{x\rightarrow 0^{+}} \frac{x\ln x}{\tan x}=-\infty\implies \text{B. Nonexistent (best answer)}\)
Step-by-step explanation:
Recall L'Hopital's rule:
\(\displaystyle \lim_{x\rightarrow c}\frac{f(x)}{g(x)}=\lim_{x\rightarrow c}\frac{f'(x)}{g'(x)}\)
First derivative of \(x\ln x\):
Recall the product rule:
\((f\cdot g)'=f'\cdot g+g'\cdot f\)
\(\displaystyle \frac{d}{dx} (x\ln x)=\frac{d}{dx}(x)\cdot \ln (x)+\frac{d}{dx}(\ln x)\cdot x\)
Note that:
\(\displaystyle \frac{d}{dx}(x)=1,\\\frac{d}{dx}(\ln (x))=\frac{1}{x}\)
Simplifying, we get:
\(\displaystyle \frac{d}{dx} (x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x,\\\frac{d}{dx}(x\ln x)=\ln x+1\)
First derivative of \(\tan x\):
\(\displaystyle \frac{d}{dx}(\tan x)=\sec^2 x\)
Therefore, we have:
\(\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}\)
By definition, \(\cos x=\frac{1}{\sec x}\). Therefore,
\(\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}=\lim_{x\rightarrow 0^{+}}\cos^2x(\ln x+1)\)
Note:
\(\displaystyle \lim_{x\rightarrow 0^{+}}\cos^2x=1,\\\lim_{x\rightarrow 0^{+}}\ln x+1=-\infty\)
Substitute:
\(\displaystyle \lim_{x \rightarrow0^{+}} \cos^2x(\ln x+1)=1\cdot (-\infty)=-\infty\)
Therefore, we have:
\(\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty \text{}\), which best corresponds with \(\boxed{\text{B. Nonexistent}}\)
*Commentary:
Technically speaking, a limit exists only if it is equal to a real number. By proper definition, infinity is not a number. With that being said, you will see limits expressed as infinity or negative infinity.
Here's what I will say about this specific problem.
The problem is stipulating that we approach \(x\) from the right side. Because of this condition, it may be unorthodox to say this limit doesn't exist. However, if the problem just asked for \(\displaystyle \lim_{x\rightarrow 0}\frac{x\ln x}{\tan x}\), it is common and preferred to say this limit does not exist, since \(\displaystyle \lim_{x\rightarrow 0^{-}}\frac{x\ln x}{\tan x}\neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}\).
For example, \(\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}=\text{DNE}\), because \(\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}\) diverges. In other words, \(\displaystyle \lim_{x\rightarrow 0^{-}}\frac{1}{x}=-\infty \neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{1}{x}=\infty\).
But again, the problem is asking for the limit as \(x\) approaches from the right, in which case \(\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty }\). It's really a pedagogical choice whether to say a limit equal to infinity or negative infinity exists or not since infinity implies there is no limit, so saying the limit of something is infinity becomes an oxymoron. In this case, the person who wrote the answer choices chose to express a limit of infinity as nonexistent, but it is worth mentioning that someone else solving this problem might express \(-\infty\) as the answer, and they would be just as, if not more, correct.
Without resorting to L'Hopital's rule, recall that
\(\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax} = 1\)
for a ≠ 0. Then
\(\displaystyle \lim_{x\to0^+} \frac{x \ln(x)}{\tan(x)} = \lim_{x\to0^+}\frac x{\sin(x)} \times \lim_{x\to0^+}\cos(x) \times \lim_{x\to0^+}\ln(x)\)
The first two limits exist and are equal to 1, but the last limit is -∞.
Please look at the photo. Thank you.
The output value of (f∘g)(x) is: \((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)
The domain of (f∘g)(x) is (-∞, -3) U (-3, ∞).
How to determine the corresponding output value for this function?In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;
\(f(x) = \frac{x-6}{x +3}\)
g(x) = 4x - 15
Next, we would write the numerators and denominators in factored form as follows;
(x - 6)(4x - 15)
4x² - 15x - 24x + 60
4x² - 29x + 60
Now, we can derive the corresponding composite function of f(x) and g(x);
\((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
x + 3 ≠ 0
x ≠ -3
Domain = (-∞, -3) U (-3, ∞).
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Is -5 smaller or larger than 1/2?
Rotate the figure 90° clockwise around the point.
Answer: Rotate
Step-by-step explanation: Draw lines horizontally and vertically through that point and rotate the rectangle 90 degrees to the right
it should look like this:
14. Jessica created a model of an ice cream cone by combining the shapes
of a cone and a hemisphere. Based on the dimensions shown in the figure
below, determine the volume of the model.
A.
B. 661 cm
C. 108 cm
D. 126 cm
Answer:A
Step-by-step explanation:trust me bro
All of the following are assumptions of the error terms in the simple linear regression model except:
errors are normally distributed.
error terms have a mean of zero.
error terms are dependent on each other.
error terms have a constant variance.
All of the following are assumptions of the error terms in the simple linear regression model except C. error terms are dependent on each other.
What is regression?A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to predict. The independent variable is the variable you are using to forecast the value of the other variable.
When modeling the relationship between a scalar response and one or more explanatory variables, linear regression is a linear approach. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are multiple variables.
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Which of the following is an example of an inversely proportional relationship?
A inversely proportional relationship happens when one value increases while the other decreases. One example coule be the faster a vehicle travels, the less time it takes to reach its destination.
Best of Luck!
An odometer shows that a car has traveled 41,00$ miles by January 1, 2020. The car travels 19,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
The required equation for number of miles and years for the car is given as; y = 19000x + 41000
How to represent a linear equation?To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.
The parameters are;
Suppose the year 2020 represents x = 0.
The distance travelled per year can be taken as the slope of the linear equation. Thus, slope = 19000.
And, the distance travelled by January 1, 2020 is 41000.
This tells us that for x = 0, y = 41000.
The linear equation in slope intercept form is given as;
y = mx + c
where;
m is slope
c is y-intercept
Substitute the corresponding values in the above equation to obtain,
y = 19000x + c
At x = 0, y = 41000
41000 = (19000 × 0) + c
c = 41000
Now, the equation can be written as,
y = 19000x + 41000
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PLS HELP
⦁ Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day that the fair arrives at the fairground and then continues to work on finishing the setup for about a week to have the rides ready to go in time for the opening of the fair. The scatter plot shows Anika's setup time on different days and the linear model for the data.
(a) What is the equation of the line, written in slope-intercept form? Show how you determined the
equation.
(b) Anika arrived on Day 0. Based on the linear model you created in Part A, predict how long Anika
worked on Day 0.
(c) Approximately how much did her setup time decrease per day?
Answer:
I hope this helps you, now you have to do part c
If each quadrilateral below is a kite, find the missing measures.
Answer:
F and H are both 121 degrees
Step-by-step explanation:
"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math
Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.
Today is PI day name as many digits you know!
Answer: 3.141592653589793238462643
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
2√34, 6
The length of the third side is 2√34 + 6.
We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let x be the length of the third side. Then we have:
2√34 + 6 > x
Subtracting 6 from both sides, we get:
2√34 > x - 6
Adding 6 to both sides, we get:
x < 2√34 + 6
Therefore, the length of the third side must be less than 2√34 + 6.
To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:
2√34 + 6 = x
If this is true, then the given sides can form a triangle.
Simplifying the equation, we get:
x = 2√34 + 6
The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.
For such more questions on length
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Write the slope-intercept form of the equation of the line through the given point and slope.
Point: (-1, 2)
Slope: 1.
Answer:
y=x+3
Step-by-step explanation:
same as the last one =)
Three people spend money on a vacation. The expression −1,0263 represents the amount of money each person spends on the vacation. Which expression is equivalent to −1,0263 ?
Answer:-(-1,026/3
Step-by-step explanation:
How many 1/4 are in 3
Answer:
3 ithinks so it lol haha
Answer: 12
Step-by-step explanation:
The are 4 1/4 in 1
3x4=12
HELPDetermine the equation of the line shown in the graph:y = −1y = 0x = −1x = 0
in this problem we have a vertical line
The equation of a vertical line is equal to the x-coordinate of the point that passes through it
so
in this case
the equation of the line is
x=-1
please see picture for question
Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8
A: The quotient of two and a number minus four is less than eight more than the product of four and the same number
B: The difference of two times a number and four is less than the product of four and the same number decreased by eight
C: four less than the product of two and a number is less than the product of four and the same number increased by eight.
D: four more than the product of two and a number is less than the sun of eight and four times the same number
Answer:
C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.
General Formulas and Concepts:
Pre-Algebra
Converting expressions to word formStep-by-step explanation:
Step 1: Define
2x - 4 < 4x + 8
Step 2: Translate
"2x" is the product of two and a number x
" - 4" is four less
"<" is less than
"4x" is the product of four and a number x
" + 8" is increased by 8
Step 3: Combine
The difference between the product of two and a number x and 4 is less than the sum of the product of four and a number x and 8.
Step 4: Reword
Four less than the product of two and a number is less than the product of four and the same number increased by eight.
Answer:
C
Step-by-step explanation:
four less = -4
than the product of two and a number = 2·x = 2x
is less than = <
the product of four and the same number = 4·x = 4x
increased by eight. = +8
Which statement is true about the value of the expression below?
PLEASE HELP
Answer:
The answer is It is between 0 and 1
Step-by-step explanation:
If you solve the problem step by step as (-2^3)^-2<1 then it comes out as true so it would be less than 1 but more then 0.
NEED HELP PLEASE
Complete the table to find the pattern in the number of combinations.
Row 0 0C0 = 1
Row 1 1C0 = 1 1C1 = 1
Row 2 2C0 = 1 2C1 = ? 2C2 = 1
Row 3 3C0 = 1 3C1 =? 3C2 = ? 3C3 = 1
Row 4 4C0 = 1 4C1 = ? 4C2 = ? 4C3 =? 4C4 = 1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The formula for nCk is ...
nCk = n!/(k!(n -k)!)
It always works out that nC0 = 1 and nC1 = n, and the sequence of numbers across a row of the diagram is symmetrical about the center.
This means you only need to calculate one value to finish filling your diagram.
4C2 = 4!/(2!(2!)) = (4·3)/(2·1) = 6
You will find the pattern to be ...
each element in the diagram is the sum of the two above it.
Find the value of (9/16) ^ - 1/2
Answer:
4/3
Step-by-step explanation:
Given:
\(\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}\)
From the law of exponent:
\(\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}\)
Convert to the form above:
\(\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}\)
Therefore, the solution is 4/3
Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number.
Answer:
Hi how are you doing today Jasmine
can someone help me on this?
Answer: Don't put if this is't right. based on my calculatios I got B
Step-by-step explanation:
Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet
Given: (10,900) (20,1600)
Answer: 2nd choice on Ed
Step-by-step explanation:
Answer:
B
2400ft
Step-by-step explanation:
ABC is circumscribed about H, with the points of tangency D,E, and F.
3/10n = 4/5
What value of n will make this equation correct
A. 6/25
B. 3/8
C. 1/2
D. 8/3
Tiger Algebra gives you not only the answers, but also the ... step method for solving your equations 3/10n=4/5 so that you understand better. ... 310 n =45 ... Rearrange the equation by subtracting what is to the right of the equal sign ... Two fractions are called equivalent if they have the same numeric value.
Simplify the following expression. 3^2/5 x 3^(-7/5) A. 1/243 B. -14/25 C. 1/3 D. -3
Answer:
C
Step-by-step explanation:
3^2/5 x 3^-7/5
We know that a^b* a^c = a^(b+c)
3^(2/5 -7/5)
3^ (-5/5) = 3^ -1
We know that a^-b = 1/ a^b
3^-1 = 1 / 3