Answer:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]
Required
Solve
Express [tex]x^2-4[/tex] as difference of two squares
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Factorize [tex]x^4 - 2x^3[/tex]
[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Cancel out x - 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]
Expand [tex]x^2 - 3x - 10[/tex]
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]
Factorize:
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]
Factor out x + 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]
Cancel out x - 5 and x + 2
[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]
[tex]\frac{1}{x^3}\cdot 1[/tex]
[tex]\frac{1}{x^3}[/tex]
Hence:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you
Answer:
4) The error made was that you were supposed to multiply 5 and 2. The answer is supposed to be 43.
5) B) 18
6) 18
7) B) 20
8) B) 28
Step-by-step explanation:
4)
36 - 3 + 5 · 2
36 - 3 + 10
43
5)
3(7) - 3 = 18
6)
3(2) + 2(4) + 4 =
6 + 8 + 4 =
18
7)
24 ÷ 3 + 12 = 8 + 12 = 20
8)
5(6) - 2 = 30 - 2 = 28
The area of the triangle below is 6.75 square meters. What is the length of the base?
Answer:
4.5
Step-by-step explanation:
I hope this helps, sry don't have enoug h time to explain
At Kolbens Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many use public transportation?
I really need help on this
Answer:
I think the answer is 4800.
Step-by-step explanation:
Usually people would use 1/10 or anything like that, but here 3/7 was used. in order to find 10 percent you would divide by 10, correct, well I did the same with 7. (because you must find 1/7) The question was 3/7, so I multiplied 1400 by 3, and my answer was 4800. (sorry if this wasn't understandable, im the the best at explaining things)
Marco got 15 questions wrong on his 30-question test. What is his grade as a percent?
Answer:
15
Step-by-step explanation:
The grade percentage of Marco is 50%.
What is percentage?A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.
Given that, Marco got 15 questions wrong on his 30-question test.
We need to find his grade as a percent,
So,
Since he got 15 answers wrong,
Therefore, his correct answers = 30-15.
That mean his grade in marks = 15
Now, his grade in percent = 15/30 x 100 = 50%
Hence the grade percentage of Marco is 50%.
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Determine whether the three side lengths form a triangle. 3,5,7
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?
The volume of the rectangular prism is 4180in^3.
What is rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".
For the given situation,
Length of the rectangular prism = 19 in
Width of the rectangular prism = 20 in
Height of the rectangular prism = 11 in
The formula for volume of the rectangular prism,
[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]
On substituting the values,
⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]
⇒[tex]V=4180[/tex]
Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].
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un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
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Please help so I don’t fail this class
What is the measure of the reference angle for a -287° angle
The measure of the reference angle for a -287° angle is 17°.
To measure of the reference angle for a -287° angle
1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.
- In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.
- Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.
2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.
- To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.
3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).
Therefore, the measure of the reference angle for a -287° angle is 17°.
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()) There are two cubes. The first cube has a volume of 1,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube? D) cubic units Submit
Answer:
125 units^3
Step-by-step explanation:
Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.
You then divide the sides by 2 because the question says the second cubes sides are half the size
5*5*5 = 125
The volume of the second cube is 125 units³.
What is volume?In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.
We need to find the volume of the second cube,
So, let the side of the first cube be x,
We know that the volume of a cube = side³
Therefore,
x³ = 1000
x = ∛1000
x = 10 units
Therefore, the second cube will have a side of 10/2 = 5 units
Volume of second cube = 5³ = 125 units³.
Hence the volume of the second cube is 125 units³.
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can someone help with this
What will be his EXTRA cost?
Answer:
??? what do you mean?
Step-by-step explanation:
PLEASE HELP!! ILL MARK BRAINLYEST!!
Which type of graph would you choose to show the number of home runs hit by each player compared to the team total?
A. histogram
B. bar graph
C. circle graph
D. line graph
Answer:
Bar graph
Step-by-step explanation:
if it helps don't forget to like and mark me down
Answer:
Bar Graph
Step-by-step explanation:
Evaluate. 5! - 4! = [1]
May any math experts please help thank you
Answer:
116=1
Step-by-step explanation:
I hope this helps you!
heyyyyyyy besties um if someone wants to help me that would be great ‼️
Answer: constant
Step-by-step explanation:
Hope this help!
solve:
4(n-7) -2 (n+3)-15n
Answer:
solved
Step-by-step explanation:
4n-28 -2n -6 -15n
-13n-34
-(13n+34)
f(x)=-x^2+8x-14 using quadratic formula
Answer:
Were you looking for the x and y intercepts? The question is very misleading.
If you were the x intercepts are (4-√2,0), (4+√2,0)
And the y intercept is (0,−14)
If you did not mean this in your question please specify what you meant.
Answer:
[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]
Step-by-step explanation:
Plug in given values of a, b, and c into the quadratic formula and solve for x:
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]
[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]
[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]
[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]
[tex]x=4±-\sqrt{2}[/tex]
Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]
((No links allowed))!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)
Answer:
z=25
Step-by-step explanation:
(3+5)^2+[8-11]+z=4(z-2)
(8)^2 +3+z=4z-8
square 8
add 8 to both sides
mines z from both sides
64+3+8=3z
75=3z
25=z
What is the circumstances if the diameter is 68ft
Answer:
Step-by-step explanation:
diameter = 68ft
Radius = 34ft (68/2)
Circumference =213.6283 (68 x pi)
What is the equation for the hyperbola shown?
X
V2
= 1
602
112
72
-
x2
112
1
602
72
x2
=
1
602
112
72
112
x2
602
1
Answer:
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
Step-by-step explanation:
Since the hyperbola opens left and right with a center at the origin, then
[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]
In the graph a = 60 and b = 11
So
[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
If Sally's school is 2.5 km long. How many meters long is Sally's school?
Answer:
2500 m long
Step-by-step explanation:
Answer:
2,500 meters
Step-by-step explanation:
There are 1000 meters in a kilo meter so just multiply 2.5 x 1000
(-x+3) - (x-5) ,.................,.,.,.,.,.,.,.,.......,.,.,.,..
Answer:
-2x+8
Step-by-step explanation:
(-x+3)-(x-5)
= -x+3-x+5
= -2x+8
The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops. The retail markup, can be represented by the function. Which function can be used to find the marked-up price of a marble countertop depending on the area?
Answer:
[tex]m(c(a)) = 4.8875a[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops
[tex]m(c) = 1.15c[/tex] --- Cost of retail markup
Required
The cost of marked up price
This implies that we calculate m(c(a))
We have:
[tex]c(a) = 4.25a[/tex]
[tex]m(c) = 1.15c[/tex]
[tex]m(c) = 1.15c[/tex] can be written as:
[tex]m(c(a)) = 1.15*c(a)[/tex]
Substitute: [tex]c(a) = 4.25a[/tex]
[tex]m(c(a)) = 1.15*4.25a[/tex]
[tex]m(c(a)) = 4.8875a[/tex]
Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]
help i don't understand this!!
Answer:
30 cm
Step-by-step explanation:
Need help due in 20 mins
Answer: The slope is 0.
The slope is 0 because for something to have a slope, it either has to be going upward or downwards.
Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
True
False
9514 1404 393
Answer:
False
Step-by-step explanation:
Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.
sin(B) > sin(Y) . . . . FALSE
sin(B) = sin(Y) . . . . true
Answer:
The answer is true.
Step-by-step explanation:
PLZ HELP AGAIN DUE TODAY ANSWER CHOICES ARE
A.140
B.188
C.132
D.104
I need help I'm confused!
Answer:
160 and 70
Step-by-step explanation:
If an item is discounted by 5 percent, and the final price is 57, what is the original price of the item?
Answer:
$59. 85 or rounding, $60 (I AM NOT COMPLETELY SURE)
Step-by-step explanation
I changed the percentage into a decimal (.05) and then multiplied it by the final price (57). After multiplying, I got, $2.85. I then added that to the final price to get, $59.85.
Please help I need to show all work
Answer: x=-3 can you mark me brainlyest thanks
Step-by-step explanation:
3(x-6)=2x(x+3)
3x-18=3x+6x
3x-18=9x
-3x -3x
-18=6x
__ __
6 6
x=-3
!!!! HELP PLEASE !!!!!
Answer:
C) x² + 2x - 6
Step-by-step explanation:
add 2x +1 to x² - 7
