Answers
Answer: y = x - 5
Step-by-step explanation: hope this helps! :)
Related Questions
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.
Answers
Answer:55
Step-by-step explanation:
The box plots below show the miles per gallon (mpg) ratings distribution for three types of cars.
Answers
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.
Answers
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]
Answers
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........
can someone help me pleas
Answers
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)
cuánto es 120 por 12
Answers
Answer:
120 x 12 = 1440
Step-by-step explanation:
Answer:
es 1440
Step-by-step explanation:
solo pones 120
x12
Which expression is equivalent to (4 + x) + 12?
Answers
someone please help!! 60 points!!
Answers
Answer:
It C am sure it correct....
Answer:
I think the answer would be C.
Determine the area of the rectangle
6x + 3
X+5
Answers
Answer:
Step-by-step explanation:
multiply the two expressions
(6x + 3)(x + 5)
6x^2 + 30x + 3x + 15
6x^2 + 33x + 15
simplify if needed
3(2x^2 + 11x +5)
hope this helps <3
The vertical cross-sectional shapes of this prism are all congruent triangles.
A. True
B. False
Answers
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
#SPJ2
1. Greg bought a huge Christmas tree. He had to pay a
25% advance to reserve the tree. How much did he pay
to reserve the tree if the cost of the tree is $300?
Answer:
Answers
Answer: $1,200
Step-by-step explanation:
Since multiplying 25% would take off 25% from 300, do the opposite (aka divide .25 from 300).
300/.25 = 1,200
Laura Simplified the expression 5x[(3.14+4.16)×9+2] as shown
Step 1: 5x[7.3x9+2]
Step 2. 5x[7.3x11]
Step 3. 5x80.3
Step 4. 401.5
Questions:
A. In what step did Laura first make a mistake?
B. Explain what the mistake was using mathematical detail academic language
C. Show your step by step work using mathematical detail and academic language to simplify the expression
D. What is the correct answer to the expression
Answers
Answer and Explanation
__________________________________________________________
A. Step 2
B. Step 2 is wrong because multiplying is first before adding, and Laura added before multiplying and got 401.5 instead of 338.5
C. [tex]5\cdot\left(\left(3.14+4.16\right)\cdot9+2\right)[/tex] = [tex]?[/tex]
[tex]5\cdot\left(\left(7.3\right)\cdot9+2\right)[/tex] = [tex]?[/tex]
[tex]5\cdot\left(65.7+2\right)[/tex] = [tex]?[/tex]
[tex]5\cdot\left(67.7\right)[/tex] = [tex]?[/tex]
D. [tex]338.5[/tex]
__________________________________________________________
Hope this helps! <3
__________________________________________________________
Harriet Cutter’s gross pay for this week is $555. She is single and claims 1 allowances. What amount will be withheld from Harriet’s pay for federal income tax?
Answers
Answer:
85 dollars will be withheld with a 7.65% income tax because she is only making 1,110 dollars.
Step-by-step explanation:
a plank is 6.7 feet long. Arachna wants to cut the plank into 0.8-foot pieces. how many 0.8-foot pieces can she get?
Please help- i need this urgently
Answers
Answer: 8
Step-by-step explanation:
You have to divide 6.7/0.8 and you'll get your answer. She'll be able to use 8 full pieces.
Plz help me get the right answer
Answers
This is because have of 10 is 5
And you would only fill in half a circle after that
Hope this helps
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
5. Evaluate 13 + 6 + 7 + 4.
b. 29
a. 2184
c. 20
d. 30
Answers
Answer:
D is the answer for the question
Answer:
30/D
Step-by-step explanation:
just add the numbers :)
What is the equation of the line in slope-intercept form? Please help thank you
Answers
Answer:
y = -5/4x + 5
Step-by-step explanation:
the slope is down 5 over 4 and it crosses the y-axis at 5
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.
Answers
Answer:
130,000
Step-by-step explanation:
Answer:oh hey yulissa ✌️
Step-by-step explanation:
need help ASAP mid term .
- 60 points
Answers
the metal bar/random line is almost the same size as the other two sides of the triangle. if one side is 32ft, then the opposite side is 32ft also. the bottom is 100ft, so we could eliminate C. because it couldnt be that number. now the bottom triangle, one side is 40ft so the other side has to be 40ft as well. its asking about the metal bar.
its either:
A. 53.2ft or
B. 44.4
because the line is almost the same size as 32ft. its almost a equallateral triangle. i would go with A. though because if you imagine the line at the bottom of the line (100ft.) the line would go over half of it (and 53.2 is over half of 100) so i would say
A.53.2
if this didnt help let me know. and i will delete this (if i can-)
Daniela got 78% on her last history test. If there were 50 questions on the test , how many did she get correct
Answers
Answer:
39.
Step-by-step explanation:
78% of 50 is 39. To calculate x% of a number y, we use the following rule: x% of y = (x / 100) × y.
Can somebody help please
Answers
What is the question?
Quick please help
The graph below represents the number of toys Rudolfo has in his toy box after x number of
months. Which equation below best represents this graph?
A. Y=15x
B. Y=30x
C. Y= 1/15x
d. y = 10x
Answers
Answer:
I would say the answer is C
Step-by-step explanation:
Give three examples of equations where the solution will be unique that is only one solution is possible.
Answers
Answer:
5x = 3x
4+8t-y=y-t+8
98/r=34t
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.
Answers
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
I need help please!!!!!
Answers
Write the rate below in simplest form?
12: 144
A.3:36
B.4:48
C.1:12
D.6:72
Answers
Answer:
C. 1:12Step-by-step explanation:
12 : 144 = 1 : 12 divide both numbers by 12Correct option is C
EZ POINTS AND BRAINLEYIST IF YOU ANSWER
Which of the following is true about a linear function?
a: it may curve in some parts and be horizontal in others
b: it must cross the origin
c: it has a constant rate of change
d: it must contain only positive values
Answers
Answer:
b is the correct answer
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions.
4x−4y=-8
Answers
Answer:
y=x+2
Step-by-step explanation:
slope-intercept form-----> y=mx+b where m=slope and b=y-intercept
4x-4y=-8
4y=4x-(-8)
4y=4x+8
y=4/4x+8/4
y=x+2
which of the following is not a valid probability?
A. 1
B. 0
C. 0.0000001
D. 1.0002
Answers
Answer:
0
Step-by-step explanation:
5.41 + k = 9.7 what is the value of k
Answers
K=4.29
The value of k is 4.29. Hope this help
