Answer:
x = 10
Step-by-step explanation:
The two triangles are similar, and it says that VUT is similar to EFG so side VT corresponds to side EG which means that 8 is just side VU divided by 2.
This means that side EG is 14 divided by 2 and that is 7.
This results in the equation " 2x - 13 = 7" First, add 13 to both sides of the equation to get rid of the -13. This gives 2x = 20. Then divide both sides by two to cancel out and get rid of the 2 in 2x. This leaves x as 10.
Determine the area of the rectangle
6x + 3
X+5
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
Please help me I need the answer for this question. correct one please
can yall do the work of the answer 95 to this
9514 1404 393
Answer:
? = 95°
Step-by-step explanation:
Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.
arc QR + arc RS + ? = 360°
190° +75° +? = 360°
? = 360° -265° . . . . . . subtract 265° from both sides
? = 95°
Can somebody help please
What is the question?
find the slope of the following 2 points (2,-5), (9,3)
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
Please help! I am so bad at math!
Answer:
PR=12
Step-by-step explanation:
2x+6=3x-6
6=x-6
12=x
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
Answer:
tip would be $3.50
Step-by-step explanation:
10% + 5% = 15%
10% of 23.25 is 2.33
5% of 2.33 is 1.17
add 2.33 and 1.17 to get 3.50
Answer:
I would do the question like
10% + 5% = 15% which would equal 3.50
Hope this helped (please mark brainliest)
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
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
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:
The box plots below show the miles per gallon (mpg) ratings distribution for three types of cars.
help please I will give brainiest
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........
brainly and points :)
Answer:
9
Step-by-step explanation:
(3/2)^3 = 27/8
27/8 x 8/3 = 27/3 = 9
Find the slope between the points: (3,4) and (-1,-2)
Answer:
3/2 hope this helps hqhahjajja
Which expression is equivalent to 2x^2 - 2x + 7?
Answer:
(o,7) vertical intercept
minimum (1/2 , 13/2)
5.41 + k = 9.7 what is the value of k
PLZZ HELPP IM FAILLING THIS CLASS
Answer:
cups
0.14 and 0.098
plates
0.1375 and 0.144
silverware
0.047 and 0.129
Total:
30.25
Step-by-step explanation:
5.60/40 and 4.90/50
40 count and 50 count
cups
0.14 and 0.098
2.75/20 and 3.60/25
plates
0.1375 and 0.144
9.85/210 and 12.90/100
silverware
0.047 and 0.129
Total:
(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)
=30.2475
round
30.25
Answer:
The answer to your question is 30.25
Step-by-step explanation:
Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D
what is the slope for (-11, 1) and (-2, 6)?
Answer:
5/9
Step-by-step explanation:
You can verify me by using the y2-y1/x2-x1 formula
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
#SPJ2
Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?
Answer:
-360
Step-by-step explanation:
I got it right
need help ASAP mid term .
- 60 points
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-)
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:
Explain how you know when 2 ratios are proportional.
Answer:
Ratios are proportional when they represent the same relationship.
Step-by-step explanation:
Such as: finding equivalent fractions
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation
One good way to tell is to make them fractions and then reduce them. If the reduced fractions are the same, you ratio is proportional! Good luck !
someone please help!! 60 points!!
Answer:
It C am sure it correct....
Answer:
I think the answer would be C.
I need help please!!!!!
PLEASE HELP I NEED IT FAST
Simplify the expression
-4-5(w+8)
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]
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:
The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer
PLEASE HELP
Answer:
Shannon run 1.5 km more on Friday than on Saturday.
Step-by-step explanation:
From the given table
Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 kmIn order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.i.e.
Friday run - Saturday run = 2 - 0.5
= 1.5 km
Thus, Shannon run 1.5 km more on Friday than on Saturday.