Answer:
2
Step-by-step explanation:
combine like denominators:
(1-x^4)/(x^2+1)+(x^4-1)/(x^2-1)
factor:
(1-x^2)(1+x^2)/(x^2+1)+(x^2+1)(x^2-1)/(x^2-1)
reduce:
(1-x^2)+(x^2+1)
1+1=2
Evaluate the following expression
8 to the power of 3–9•2 divided by 3
Answer:
0.485 in decimals
I need help with this
What is the equation of a circle centered at the origin with radius 20
Answer:
we have a rule
(x-h)²+(y-v)²=r²
while h is the x intercept
v is y intercept
r is the radius
so the answer will be
x²+y²=400
or
x²+y²=20²
At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?
Answer:
the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
Step-by-step explanation:
Given that:
the price of 4 adult tickets & 6 child tickets = $77
the price of 6 adult tickets & 4 child tickets = 83
then the price of 1 adult ticket and 1 child ticket will be:
Let assume that the cost of 1 adult ticket to be $p
Then;
the cost of 4 adult ticket = $4p
Similarly, the cost of 6 adult ticket = $6p
However, assuming that the cost of 1 child ticket is $q
Then;
the cost of 6 child ticket = $6q
the cost of 4 child ticket = $4q
∴
We can express them with their given prices that:
4p + 6q = 77 --- (1)
6p + 4q = 83 --- (2)
From equation (1), let 4p = 77 - 6q
Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]
replace the value of p into equation (2)
∴
[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]
[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]
[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]
[tex]q= \dfrac{32.5}{5}[/tex]
q = 6.5
Since q = 6.5, then using equation (1)
4p + 6(6.5) = 77
4p +39 = 77
4p = 77 -39
4p = 38
p = 38/4
p = 9.5
Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
HELP (ENGLISH)
Amira is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 9 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
solve for t. -1 (t + 8) = -7.1 brainly
t=___?
(Please hurry!)
Answer:
.9
Step-by-step explanation:
-1(t+8) = -7.1
PEMDAS
So times the parenthesis by -1
-t - 8 = -7.1
Add the 8 to itself to get rid of it
Then since you added it on the left, add it to the right
-t = .9
t = .9
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
Answer:
$1.38
Step-by-step explanation:
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
The cost difference is calculated as:
Cost of 6lbs of oranges - Cost of 4lbs of oranges
Cost of 6lbs of oranges = $6.18
Cost of 4lbs of oranges = $4.80
Hence,
= $6.18 - $4.80
= $1.38
please answer I have a freaking e in my math class
Answer: I would answer but the image is blocked for me- can you type the problem by any chance?
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
Initial value usually means the y value when x=0
BRAINLIEST ....................................
9514 1404 393
Answer:
(b) 7720 mm² of paper
Step-by-step explanation:
The central horizontal rectangle of the net is 80 mm high and ...
40 + 5.5 + 40 + 5.5 = 91
mm long. Its area 9 is ...
(80 mm)(91 mm) = 7280 mm²
__
The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...
2(40 mm)(5.5 mm) = 440 mm²
Then the area of paper needed for the wrapper is ...
total area = 7280 mm² + 440 mm²
total area = 7720 mm²
Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?
Answer:
$6727.50
Step-by-step explanation:
35/1000*6500
= 35*6.5
=227.50
6500+217.50
6727.50
3x^2+9x+27x^3 pls help the ^ means exponent
Answer:
27x^3+3x^2+9x
Step-by-step explanation:
Beth went on vacation for 4 1/2 days in June and 8 1/2 days in July. How many days was Beth on vacation altogether?
Hi there,
Answer is: 4 months, because 4 plus 4 is 8.
Explanation: 4/1/2 ; 8/1/2
How to get 4/1/2 ; 8/1/2
So you add 4 to get 8 and 4 plus 4 is 8.
The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at the rate of 20m/min
Answer:
It will take her approximately 28 seconds to cross the diagonal of the pitch
Step-by-step explanation:
If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.
Step one: Find the length of the field from its area.
The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.
i.e area = length X breadth.
Let us assume that the breadth = 6m
its length will be area / breadth = 42/ 6 = 7m
The length of the pitch = 7 m
Step Two: Find the length of the diagonal using Pythagoras' theorem.
From Pythagoras'theorem, the length of the diagonal can be obtained by
[tex]diagonal = \sqrt{l^2 +b^2}[/tex]
[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]
The length of the diagonal is 9.22m
Step three: Find the time using her speed and the distance she needs to cover.
Time = distance / speed
time = 9.22 /20 = 0.46 minutes
It will take her approximately 28 seconds to cross the diagonal of the pitch
given: x+y=10 if x=-21, what is y?
Answer: y = 31
Step-by-step explanation: all you need to do is plug in the x
since x = -21 we can put: -21 + y = 10
now we add 21 to both sides giving us: y = 31
Answer:
(-21,22)
Step-by-step explanation:
x+y=10
x=-21
subtitue the x value
-21+y=2
solve for y
y=22
Then write your answer by ordered pair
(-21,22)
I really neeed help ... please help me
Answer:
fist one is 36 and the second one is 238
Step-by-step explanation:
to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer
Whatis the answer to the problem
Answer:
slope = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex] are x and y values of another point.
So, use the x and y values of the points given and substitute them in the correct order into the formula:
[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]
Thus, the slope is [tex]-\frac{1}{8}[/tex].
What is the line of reflection?
Answer:
Y Axis
Step-by-step explanation:
The y axis is the best so it reflects off of both sides of the best axis in the world.
The perimeter of triangle ABC is 96. Find the value of x. 4x + 1 2x 3x + 2 perimeter of ABC = 96
Answer:
4.5is answer
Step-by-step explanation:
perimeter of ABC = 96
4x + 1 2x 3x + 2=96
21x=96
x=96/21=4.5
Is my answer right? if not can you please show me the correct answer
Answer: No, is a=9
Step-by-step explanation:
Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
17.) An ostrich can run 174 feet in 3 seconds. What is the slope of the line and what does it
represent?
please help me with this
Answer:
a=8/2 b=9/4 c=13/5
This box is 3/4 inch long 1/2 inch wide and 1/4 inch deep what is the volume of the box ?
Answer:
v = l * w * h
v = 3/4 * 1/2 * 1/4 = 3/32 or 0.09375
rhoda pays for internet access each month The graph shows the relaionship
Answer:
more info??
Step By Step:
Expand and simplify 7a + 4(a-2b)
Help please :)
Answer:
11a - 8b.
Step-by-step explanation:
7a + 4(a-2b)
= 7a + 4a - 8b
= 11a - 8b.
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -1
y-intercept: (0, -1)
Answer:
y = -x -1
Step-by-step explanation:
x1= 0, y1= -1
[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]
-1 = x/(y+1)
-1 (y+1) = x
y+1 = -x
y= -x -1
If the density of a piece of wood is 0.85 g/cm3, what is the volume if the mass of 24.99 cm3?
Answer:
to find volume
Step-by-step explanation:
I think so it is like this 24.99/0.85 =29.4
HELPPP PLEASE!!!! HELP
Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28
Answer:
4n + 8
Step-by-step explanation:
So we're working on ratios and proportions in my math class. I feel attacked because my teacher specifically called me out and said- "Nya, you can do this, a little math won't hurt." So now I need help. :')
6) A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
A. 12.07
B. 12.70
C. 12.84
D. 19.00
A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
$12.84 or C
Have a great day! :)