Answer:
[tex]= \frac{1}{54}[{tan^{-1}\frac{x+1}{3}+\frac{3(x+1)}{(x+1) + 9} }] + C[/tex]
Step-by-step explanation:
We are to find the integral of 1/(x^2 + 2x + 10)
find the area. plzz help
The square has a side length of 9.
The area of the full square would be 9^2 = 9 x 9 = 81 square cm.
The area of the triangle is 1/2 x 4 x 3 = 6 square cm.
The area of the shape = 81 -6 = 75 square cm.
I need an answer for "−12x+y=10"
Answer:
If you need slope intercept, y = 12x + 10
i hope this helps
How many 1/4 unit cubes does it take to fill the prism?
Answer:
Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.
Step-by-step explanation: Furthermore, how many 1/4 unit cubes does it take to fill the prism? Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes. you welcome
Enzo is buying wallpaper. He can choose one colour, one texture and one thickness for his wallpaper. At his local DIY store, Enzo can choose from 27 different colours 14 different textures. The total number of options available to enzo for his wallpaper is 2268. Work out the number of different wallpaper thicknesses that enzo can choose from.
Answer:
6 different wallpapers
Step-by-step explanation:
Given
[tex]Colours = 27[/tex]
[tex]Textures = 14[/tex]
[tex]Total = 2268[/tex]
Required
Determine the number of different wallpapers he can choose from
From the question, he can choose 1 from 27 colors;
The number of ways is:
[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]
From the question, he can choose 1 from 14 textures;
The number of ways is:
[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]
Assume the total number of wallpapers is x and he can only select 1.
The number of ways of selection is:
[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]
So, the total selection is:
[tex]Colours * Textures * Wallpapers = Total[/tex]
[tex]27 * 14* x= 2268[/tex]
[tex]378* x= 2268[/tex]
Divide both sides by 378
[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]
[tex]x= \frac{2268}{378}[/tex]
[tex]x= 6[/tex]
Hence, the number of different wallpaper is 6
What is the answer to
A= 1/2 HALF x 9.6×6.3
Someone PLZ ANSWER
ILL GIVE BRAINLIEST for the correct answer
I ONLY HAVE LITTLE TIME PLZ HELP
Which statement correctly identifies the line of reflection?
A.The triangles are reflected across the X-axis
B.The triangles are reflected across the Y-axis
C.The triangles are reflected across the line Y=X
D.The triangles are reflected across the line Y=-X
Given m||n, find the value of x. (4x-9)° (3x+29)°
Answer:
38°
Step-by-step explanation:
4x-9=3x+29 ------- because corresponding angles are equal
x=38°
Hi I really need help
Answers:
EG = 26 unitsangle IFG = 40 degreesInput the numbers only.
=========================================================
Explanation:
In any rectangle the diagonals are the same length. Also, the diagonals cut each other in half (aka bisect).
This means EI and FI are the same length
EI = FI
4x+5 = 6x+1
4x-6x = 1-5
-2x = -4
x = -4/(-2)
x = 2
This then leads to
EI = 4x+5 = 4(2)+5 = 13FI = 6x+1 = 6(2)+1 = 13Both are 13 units long to help confirm we have the correct x value.
If EI = 13, then EG = 2*EI = 2*13 = 26 since EG is twice as long as EI. This goes back to the fact that the diagonals cut each other in half.
-------------
If angle EIH is 100 degrees, then so is angle FIG (they are vertical angles).
Focus on triangle FIG. We just found that angle i = 100. This triangle is isosceles with FI = IG being the two equal sides. The angles opposite these congruent sides are angles F and G. Let's call them x for now.
So we have
i = 100F = xG = xThe three angles of this triangle add to 180
F+I+G = 180
x+100+x = 180
2x+100 = 180
2x = 180-100
2x = 80
x = 80/2
x = 40
So angle F, of triangle FIG, is 40 degrees
This is the same as saying angle IFG is 40 degrees.
Answer:
EG = 26 units
angle IFG = 40 degrees
Step-by-step explanation:
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Answer:
I am so sorry i honestly dont know either i am also having trouble. Can someone help?
Step-by-step explanation:
marking brainliest bc i need help
Answer:
x=35
Step-by-step explanation:
HELPPPPP ASAPPP I DONT NEED WORK JUST ANSWERS ASAP PLEASE AND THANKS
Answer:
1) d and e
2)a, d and f
Step-by-step explanation:
Answer:
Step-by-step explanation:
for number one: D and E is not equivalent
for number 20: A D and F
If a scale drawing of a room measures 5 inches by 6 inches, and the drawing is at 1:10 scale, how large is the actual room?
Answer:
n
Step-by-step explanation:n
1
Write 15% as a fraction in simplest form:
Answer:
3/20
Step-by-step explanation:
15 / 100
divide both the numerator and denominator by 5: 3 / 20
Answer:
3/20 is it's simplest form.
Step-by-step explanation:
How can we solve this?
we know we can simplify this if we can divide the numerator and denominator by the same number.15% is equal to 15/100.
15 divided by 5 equals 3.100 divided by 5 equals 20.Therefore, 15/100 can be simplified to 3/20.
what is 21 divided by 700 can you help me plizz XD
Answer:
0.03
Step-by-step explanation:
21/700 = 0.03
Answer: 0.03
Step-by-step explanation:
calculate the volume of the rectangular prism below
Answer:
210 in
Step-by-step explanation:
plsss help ASAP!!!
BRAINLIEST
the roman number of 30 is
Answer:
XXX
Step-by-step explanation:
10+10+10 if that helps
Hi guys?
Please help
I will give brainliest
Answer:
your question is blard
i can see it sory
Answer:
Simplification :-
=》
[tex] \frac{3 {}^{20} }{3 {}^{19} } \times 3 {}^{3} [/tex]
=》
[tex]3 \times 3 {}^{3} [/tex]
=》
[tex] {3}^{4} [/tex]
you can write
[tex]3 {}^{4} [/tex]
as 81
10 s+6m=64,3s+7m=53 i need help asap
Answer:
s=2.5
Step-by-step explanation:
What is the answer to this question
Answer:
C. 24 1/4
Step-by-step explanation:
You turn both the lowest and the highest values into improper fractions and subtract the numerators then turn it back into a mixed fraction.
Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain.
lahdhd7svs7dhdhdydys
Can someone at least do letter A I don’t understand this
Answer:
10, opposing sides of a parrallelogram will have the same length
Step-by-step explanation:
given that FG = 10 , thus EH=FG=10
Answer:
EH is 10
Step-by-step explanation:
Parallelograms have congruent sides almost all of the time. so take the opposite side ( which is 10) and your answer!
Evaluate (98 x 102) by using suitable identities.
Answer:
The answer is 9996
Step-by-step explanation:
Using the identity (x+a)(x+b) = x ^2 +(a+b)x+ab
Writing 102 as 100+2 and 98 as 100−2
Hence (100+2)(100−2) = 100 ^2 +[2+(−2)]100+(2)(−2)
= 10000+(0)100−4
= 9996
The answer is 9996
Answer:
9996
Step-by-step explanation:
by using suitable identities ;
(98) × (102)(100 - 2) × (100 + 2)10000 - 49996identity used here is :
[tex](a + b) \times (a - b) = (a {}^{2} - b {}^{2} )[/tex]
..........................
Please help me, this is due today and I'm very confused.. :l
Answer:
I don't see anything
Step-by-step explanation:
rynsggnegnegnhn
Answer:
There isn't anything there, thanks for the points though
Step-by-step explanation:
If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?
Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)
[tex]BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7[/tex]
Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
The angle of elevation of the top of a tree from a point 100 meters from the foot of the tree is 36 degrees. How high is the tree?
If y varies directly with x, and y= 10 when x = 5, find y when x 15.
Answer:
30
Step-by-step explanation:
Set up the proportion y=kx k equals y over x
y=2x
y=30 if x is 15
Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?
Chloe compares the growth of plant species A and B. Part A What do the box plots tell you about the growth of a typical plant of each species? Choose the correct response. Plant B typically grows 1 cm taller than Plant A, since the range for Plant B is 1 cm greater. Plant B typically grows 1 cm taller than Plant A, since the IQR for Plant B is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the median for Plant A is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the mean for Plant A is 1 cm greater.
Answer:
Type A Type B
Median 52 grams 52 grams
Lower Quartile 49 grams 51 grams
Upper Quartile 57 grams 54 grams
Range 14 grams 8 grams
Interquartile Range 8 grams 3 grams
From this table we can see that both types of tomato have the same average mass because their medians are the same.
Comparing the medians and interquartile ranges shows that there is far more variation in the masses of the type A tomatoes, which means that the masses of type B are more consistent than those of type A.
However, comparing the two box and whisker plots, and the upper quartiles, shows that type A tomatoes will generally have a larger mass than those of type B.
Nevertheless, there will be some type A tomatoes that are lighter than any of type B.
Taking all this together, the gardener would be best advised to plant type A tomatoes in future as he is likely to get a better yield from them than from type B.
Step-by-step explanation:
Hi
If 2 > -a, then _____
Answer:
-2 < a
Step-by-step explanation:
