Answer:
8
Step-by-step explanation:
To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope. In this case we are already given the slope as the coefficient to x: -1/8. The negative reciprocal of that is 8/1, or just 8.
Plz help me get the right answer
Answer: Choice H (upper right corner)
====================================================
Explanation:
Refer to the diagram below.
I started with the set of five circles you were given. Then I cut each of them in half. This results in 2*5 = 10 sections (each section is numbered in blue). If you shade 9 of those 10 sections, then you'll represent the fraction 9/10. This is what choice H represents, so that's why it's the answer
9/10 = 0.90 in decimal form
0.90 = 90% in percent form
The Reiter family uses three different-sized scoops to serve mashed potatoes : blobs, globs and gobs (these names are so weird aren't they). 2 blobs are equal to 1 glob, and 5 globs equal 3 gobs of mashed potatoes. A bowl holds 12 gobs of potatoes. How many blobs are there in the bowl? RATIO PROBLEM!!! DUH, DUH, DUHHHHHHH.
Answer: 30 blobs
Step-by-step explanation:
The ratios are:
2 blobs: 1 glob
5 globs: 3 gobs
If the bowl can hold 12 gobs, then we can multiply the 5:3 ratio by 4, to make solving easier. We get the ratio 15:12 and then we need to multiply the 2:1 ratio by 15 to get the answer 30 blobs
Integrate the following:
[tex]\displaystyle \int \frac{x^2}{x^2+x+3}\, dx[/tex]
Answer:
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx = - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Completing the SquareRearranging VariablesAlgebra II
Long DivisionCalculus
U-Substitution[Integration Trick 1] Numerator Split[Integration Trick 2] Completing the SquareIntegration Rule 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Rule 2: [tex]\int {f(x)+g(x)} \, dx =\int {f(x)} \, dx + \int {g(x)} \, dx[/tex]Integration 1: [tex]\int {\frac{1}{u} } \, du =ln|u| + C[/tex]Integration 2: [tex]\int {\frac{du}{u^2+a^2} } = \frac{1}{a} arctan(\frac{u}{a} )+C[/tex]Integration 3: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} +C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx[/tex]
Step 2: Simplify Function
We do long division to simplify the function inside the function.
See Attachment for Long Division Work.
Once we do long division, our function becomes [tex]1-\frac{x+3}{x^2+x+3}[/tex]
Now we rewrite our Integral: [tex]\int ({1-\frac{x+3}{x^2+x+3} }) \, dx[/tex]
Step 3: Integrate Pt. 1
Distributive Integral [Int Rule 1]: [tex]\int {1} \, dx - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Integrate 1st Integral [Int 3]: [tex]x - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Step 4: Identify Variables Pt.1
Set variables for u-substitution.
u = x² + x + 3
du = (2x + 1)dx
Step 5: Integrate Pt. 2
Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} \int {\frac{2(x+3)}{x^2+x+3} } \, dx[/tex]Distribute 2 [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+6}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+1+5}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Int Trick 1]: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{x^2+x+3} } \, dx ][/tex](2nd Int) Complete the Square: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{(x+\frac{1}{2})^2 + \frac{11}{4} } } \, dx ][/tex]Step 6: Identify Variables Pt. 2
Set variables for u-substitution for 2nd integral.
z = x + 1/2
dz = dx
a = √(11/4)
Step 7: Integrate Pt. 3
[Integrate] U-Substitution: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + \int {\frac{5}{z^2 + (\sqrt{\frac{11}{4}})^2} } \, dz ][/tex]Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 1st Integral [Int 1]: [tex]x - \frac{1}{2} [ln|u| + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 2nd Integral [Int 2]: [tex]x - \frac{1}{2} [ln|u| + 5(\frac{1}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ) ][/tex]Distribute 5 [Alg]: [tex]x - \frac{1}{2} [ln|u| + \frac{5}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ][/tex]Distribute -1/2 [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5}{2\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Rationalize [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5\sqrt{11} }{11}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Resubstitute variables [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{x+\frac{1}{2} }{\sqrt{\frac{11}{4} } } )[/tex]Simplify/Rationalize [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} )[/tex]Rewrite [Alg]: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x[/tex]Integration Constant: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]And we have our final answer! Hope this helped you on your Calculus Journey!
hope this will help you........
someone please help!! 60 points!!
Answer:
It C am sure it correct....
Answer:
I think the answer would be C.
cuánto es 120 por 12
Answer:
120 x 12 = 1440
Step-by-step explanation:
Answer:
es 1440
Step-by-step explanation:
solo pones 120
x12
Give three examples of equations where the solution will be unique that is only one solution is possible.
Answer:
5x = 3x
4+8t-y=y-t+8
98/r=34t
Step-by-step explanation:
In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
Answer:
2880
Step-by-step explanation:
The total number of people affected by flu during the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer
2880
Step-by-step explanation:
The vertical cross-sectional shapes of this prism are all congruent triangles.
A. True
B. False
Answer:
false
Step-by-step explanation:
I hope i helped :)
The vertical cross-sectional of a triangular prism gives a quadrilateral shape.
What is a three dimensional shape?A three dimensional shape is a shape that have length, width and height. Example of three dimensional shapes are prism, pyramid, cone, cylinder and so on.
A triangular prism have two triangular bases and three quadrilateral lateral faces
The vertical cross-sectional of a triangular prism gives a quadrilateral shape.
Find out more on three dimensional at: https://brainly.com/question/10557391
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Help me plzzz I don’t understand this
Please help. with this question
Answer:
33 36 42 52 92
105
Step-by-step explanation:
Find f(6); f(n) = 5 – 2n
Answer:
f(6)=-7
Step-by-step explanation:
Just plug in n=6 into the function:
f(n)=5-2n
f(6)=5-2(6)
f(6)=5-12
f(6)=-7
Therefore, the correct answer is f(6)=-7
Answer:
the answer is g=−12+ 30/n
Step-by-step explanation:
50 points.
Record the simplified expression
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
Another oneeeeeeeeeeeeeeeeee
Answer:
c
Step-by-step explanation:
pick me as the brainlist
Answer:
B. The student multiplied 380 by [tex]\frac{19}{20}[/tex].
Step-by-step explanation:
In the equation -[tex]\frac{3}{4}[/tex]y - [tex]\frac{1}{5}[/tex]y = 380, we can further evaluate the equation into:
-[tex]\frac{19}{20}[/tex]y = 380
To find y, we need to multiply 380 by the inverse of the fraction on the other side, which is -[tex]\frac{20}{19}[/tex]. However, the students multiplied 380 by [tex]\frac{19}{20}[/tex] to get 361. Thus, this was the mistake.
Josh has been working andsaving money in order to buy a car andtravel the country. According to hiscalculations, it will cost him $1450 amonth for all his expenses. If Josh hassaved up $40,000, and will be purchasinga car for $16,500, at most, how manymonths will he have enough money totravel?
Answer:
16 months
Step-by-step explanation:
40k-16.5k=23.5k. 23.5k/1450= A little bit more than 16 months.
Olivia takes a trip to visit her aunt who lives 120 mi. away. Olivia's car can travel 24 miles per gallon of gasoline. If gasoline costs 03 per gallon, how much will Olivia pay for the gasoline for this trip? Show or explain your reasoning.
Answer:
$15
Step-by-step explanation:
Given that :
Aunt's distance = 120 miles
Miles per gallon of Olivia's car = 24 miles per gallon
Cost of gasoline = 3 per gallon
Cost of gasoline for the trip :
(Aunt's distance / miles per gallon) * cost of gasoline per gallon
(120 miles / 24 miles per gallon) * 3
5 * 3 = $15
Cost of gasoline for the trip = $15
can someone help me pleas
Answer:
(-1,-2)
Step-by-step explanation:
D's original postion/location is at (1,-2)
You basically take the point D and keep your y coordinate, -2, the same /constant and change your x coordinate (flip the sign)
So keeping the y-coordinate constant, -2 changing positive 1 to negative 1
So.. D's location reflected on the y axis is (-1,-2)
*Let's Say: D was reflected on the x-axis you would do the opposite by keeping the x coordinate constant and flipping the y-coordinate sign (to positive)
So...
D's location reflected on the x-axis is (1,2)
which of the following is not a valid probability?
A. 1
B. 0
C. 0.0000001
D. 1.0002
Answer:
0
Step-by-step explanation:
determine the domain and range for this relationship. Drag the tiles to the correct locations. Not all tiles will be used.
domain:
range:
{4,4.5,5,5.5,6,6.5,7}
(i cant do the less than or equal to sign but its supposed to have the line under it.)
4
0
4
{4,5,6,7}
0
0
{0,1,2,3,4,5,6}
pleaseee help me thanks
Answer in the picture below!
Find the slope of two points (1,-5)(10,6)
Answer:
11/9
Step-by-step explanation:
Answer: 11/9
Step-by-step explanation:
The slope is found by the change in y over the change in x
(6-(-5))/(10-1)
Simplify:
11/9
Who's is the faster runner? Raj can run 1 1/3 laps in 1/4 of an hour. Yvonne can run 4 1/2 laps in 7/8 of an hour.
select the equation that represents the function given in the table below:
Please help!
Answer:
im to lazy to do an equation
Step-by-step explanation:
Which expression is equivalent to 2x^2 - 2x + 7?
Answer:
(o,7) vertical intercept
minimum (1/2 , 13/2)
50 in.
14 in.
Find the length of the missing side.
52 in.
24 in.
48 in.
16 in.
Answer:
48
Step-by-step explanation:
Ms. Guthrie spent 80% of her cash on gifts.
What fraction of her cash did she spend on gifts?
She spent type your answer...
of her cash on gift.
Answer:
She spend (8/10) or (4/5) of her cash on gift.
Step-by-step explanation:
4/5 is simplified.
but not simplified its 8/10
5. Evaluate 13 + 6 + 7 + 4.
b. 29
a. 2184
c. 20
d. 30
Answer:
D is the answer for the question
Answer:
30/D
Step-by-step explanation:
just add the numbers :)
Donna wants to calculate the height of a tree. She finds the length of the tree's shadow is 25 meters and the angle of elevation from the ground to the top of the tree is 30°. Find the height of the tree to the nearest whole number.
Answer:55
Step-by-step explanation:
What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?
Step-by-step explanation:
2πr^2h
2*22/7*6*6*3
2*22/7*36*3
2*22/7*108
A water tank fills through two pipes. Water flows in
through one pipe at a rate of 25,000 gallons per hour
and in through the other pipe at a rate of 45,000
gallons per hour. Water leaves the system at a rate of
60,000 gallons per hour.
There are 3 of these tanks, and each tank holds
1 million gallons. Each tank is half full. Water is
entering and leaving a tank at the maximum
amounts. Determine the number of hours, x, it will
take to fill all 3 tanks one at a time.
Answer:
130,000
Step-by-step explanation:
Answer:oh hey yulissa ✌️
Step-by-step explanation:
If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
Answer:
y=-f(x)-3
Step-by-step explanation:
when f is negative it is reflected over the x-axis and -3 means to translate 3 units down
y = -f(x) – 3 describes the graphed function.
When f is negative it is reflected over the x-axis.
-3 means to translate 3 units down.
How do you identify a function?By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.
What are examples of graph functions?Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.Learn more about graph functions here: https://brainly.com/question/4025726
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can someone please help me factor and write the equations for these two problems ?
Answer:
Step-by-step explanation:
Asymptotes 3
g(x) = [tex]\frac{3x}{x^2-3x-10}[/tex]
Factors of denominator will be,
x² - 3x - 10 = x² - 5x + 2x - 10
= x(x - 5) + 2(x - 5)
= (x + 2)(x - 5)
Therefore, factored form of g(x) will be,
g(x) = [tex]\frac{3x}{(x + 2)(x - 5)}[/tex]
Asymptotes 4
h(x) = [tex]\frac{(x-5)}{x^{2} + 14x + 40}[/tex]
= [tex]\frac{x-5}{x^{2}+10x+4x+40}[/tex]
= [tex]\frac{x-5}{x(x+10)+4(x+10)}[/tex]
= [tex]\frac{x-5}{(x+10)(x+4)}[/tex]
