Answers
Answer:
D. [tex]\frac{4x^{2} \sqrt{29}}{29}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex]
divide by the common factor to have;
[tex]\frac{4\sqrt{x^{12} } }{\sqrt{29x^{8} } }[/tex] = [tex]\frac{4(x^{12}) ^{\frac{1}{2} } }{(29x^{8}) ^{\frac{1}{2} } }[/tex]
= [tex]\frac{4x^{6} }{\sqrt{29}x^{4} }[/tex]
= [tex]\frac{4x^{2} }{\sqrt{29} }[/tex]
Rationalize the denominator, we have;
[tex]\frac{4x^{2} }{\sqrt{29} }[/tex] x [tex]\frac{\sqrt{29} }{\sqrt{29} }[/tex]
So that,
[tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
Thus,
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex] = [tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
The correct option is D.
Related Questions
Which of the following is equivalent to the phrase "the product of thirty and a number is six"?
n - 6 = 30
30 + n = 6
30n = 6
30 + n = 6
Answers
Answer:
"The product of thirty and a number is six".
30n=630n=6 is the right answer.
Which expression is a factor of 64x^2−25?
8x−5
32x−25
32x−5
8x−25
Answers
Answer:
A
Step-by-step explanation:
Answer:
[tex](8x-5)^{2}[/tex]
Step-by-step explanation:
Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25
Rewrite 25 as 5^2.
(8x)^2−80x+5^2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
80x=2⋅(8x)⋅5
Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]
Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]
x-2y what is the coefficient of x
Answers
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
Help me please! I am in desperate need
Answers
Answer:
C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Step-by-step explanation:
The binomial theorem is given as:
[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]
[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].
*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]
Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
find all values of theta if theta is in the interval [0degrees,360degrees) and has the given function value
sec theta= -2
Answers
Answer:
[tex]\theta = 120, 240[/tex], in degrees
Step-by-step explanation:
The secant of an angle is given by:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
In this question:
[tex]\sec{\theta} = -2[/tex]
So
[tex]\frac{1}{\cos{\theta}} = -2[/tex]
[tex]-2\cos{\theta} = 1[/tex]
[tex]\cos{\theta} = -\frac{1}{2}[/tex]
In the first quadrant, the angle that has cosine of 1/2 is 60º.
The cosine is negative in the second and in the third quadrant.
The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.
The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º
So the values of [tex]\theta[/tex] in the interval are:
[tex]\theta = 120, 240[/tex], in degrees
What is the slope-intercept equation for the following line? I need help answering
Answers
Answer:
y = -4x - 3
Step-by-step explanation:
The b in the slope-intercept equation represents the y-intercept.
The line crosses the y-axis at (0,-3). Therefore, b = -3.
Since the line is decreasing from left to right, the slope will be negative.
From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.
The slope will be -4/1 or -4.
Therefore, the equation of the line will be y = -4x - 3.
Hope that helps.
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answers
Answer:
4
Step-by-step explanation:
What is the surface area of a unit cube?
Answers
Answer:
6 units
Step-by-step explanation:
The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.
Please help I might flunk
Answers
x + 1.5 week 1
x + 1.5 - 3.375 = x - 1.875 week 2
x - 1.875 + .625 = x - 1.25 week 3
x - 1.25 + 1.5 = x + .25 Week four
the price of gold went up 25 cents in four weeks total
I will give brainiest to whoever answers correctly !!
Answers
Answer:
the material when you get a chance can you send me the material
Find the remainder when f(x) = (3x + 10x² + x - 2) divided by (x + 3)
Answers
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answers
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.
To find: How many pounds of type A coffee were used.
Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.
Then, according to question,
[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]
Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get
[tex]4.15x+5.25(4x)=980.85[/tex]
⇒[tex]4.15x+21x=980.85[/tex]
⇒[tex]25.15x=980.85[/tex]
⇒[tex]x=\frac{980.85}{25.15}[/tex]
⇒[tex]x=39[/tex]
Therefore, 39 pounds of type A coffee were used.
Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour
Answers
Answer:
He walked at 1 mile per hour
Step-by-step explanation:
Answer:
He walked at 1 mph
Step-by-step explanation:
A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.
Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?
Answers
Answer:
a. 0.99995 = 99.995% probability that one of the two parachutes deploys
b.0.04995 = 4.995% probability that the backup parachutes deploys
Step-by-step explanation:
a. What is the probability that one of the two parachutes deploys?
Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]
0.99995 = 99.995% probability that one of the two parachutes deploys
b. What is the probability that the backup parachutes deploys?
The first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.05*0.999 = 0.04995[/tex]
0.04995 = 4.995% probability that the backup parachutes deploys
Solve using the Quadratic Formula:
3x2−12x−9=0
Answers
Answer:
x²+x-1=0
3x²-12x-9=0
Undefined
PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)
Answers
Hello!
[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
π/4 < x < 5π/4.
Find the values of x and y.
Answers
Answer:
x = 20 (degrees)
y = 70 (degrees)
Step-by-step explanation:
The angle adjacent to the one labeled 40° is supplementary, so it would measure 140°. And the obtuse triangle is an isosceles, which means that x is half of 180° - 140°, so x = 1/2(40°) = 20°
To find y, subtract 90° and x from 180°
y = 180° - 90° - 20°
y = 70°
Answer:
x = 20 and y = 70
Step-by-step explanation:
x = 20 and y = 70
can someone help me please im struggling and can’t figure these 2 problems out :(
Answers
Fifteen pieces of paper are numbered 1 to 15 and placed in a container. One piece of paper is selected at random, then replaced. The second piece of paper is selected at random. What is the probability that the first piece of paper is marked with a number less than 5 and the second piece of paper is marked with a 12?
Answers
12/15 and 1/15 is the prob
Solve the inequality: |x +5|>-1 please help i will give brainliest thank you
Answers
Step-by-step explanation:
|x + 5| > -1
Since |y| >= 0 for all real values of y and 0 is greater than -1, there are infinitely many solutions for x.
Answer:
x> -6
Step-by-step explanation:
|x+5|> -1
x+5 > -1
-5 -5
x> -6
Round 723,084 to the nearest thousand.
Answers
Answer:
723,000
Step-by-step explanation:
Answer:
723,000
Step-by-step explanation:
Nearest thousand → 1000
723,000
In an hyperbola, the fixed points that have a constant difference in distance from the center are called _
A. Asymptotes
B. Centers
C. Foci
D. Vertices
Please select the best answer from the choices provided
OA
OB
OC
OD
Answers
The correct answer is C. Foci.
A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.
The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.
Learn more in https://brainly.com/question/15697124
If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4
Answers
Answer:
x is equal to two.
Step-by-step explanation:
We know that 32 is a power of 2. It is in fact two to the power of five. So we can re-express that as:
[tex]2^{3x - 1} = 2^5[/tex]
Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:
[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]
Use the four-step method in problem-solving to solve the problem.
Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716
Answers
Answer:
A. $56,182
Step-by-step explanation:
$3131 x 14= $43834
$882 x 14= $12348
$43834 + $12348= $56,182
$56,182 x 1= $56,182
2x+2+2x-17=180 what's x?
Answers
Answer:
x= 48.75
Step-by-step explanation:
Add like terms
2x+2x and
2-17
4x-15=180
Now subtract -15 to both sides get x by itself
4x-15+15=180+15
4x=195
Now divide by four to each side to get x by itself again
4x/4 = 195/4
x=48.75
Answer:
x=48.75
Step-by-step explanation:
2x+2+2x-17=180(Group like terms)
2x+2x+2-17=180
4x-15=180(Add 15 on both sides)
4x-15+15=180+15
4x=195(Divide both sides by 4 to find the value of x)
x=48.75
6 Cassius is purchasing flower baskets to
be placed on each table at a volunteer
appreciation lunch. Store A charges $19.25
per flower basket plus a $15.00 delivery fee.
Store B charges $17.50 per flower basket
plus a $30.00 delivery fee. Which inequality
can determine x, the maximum number of
flower baskets that can be ordered for the
total cost at Store A to be less than the total
cost from Store B?
A 19.25 + 15x > 17.5 + 30x
B 19.25 + 15x< 17.5 + 30x
C 19.25x + 15 > 17.5x + 30
D 19.25x + 15 < 17.5x + 30
Lynn me
Answers
Answer:
b
Step-by-step explanation:
i took the test
One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.
What is the solution to the system?
(
,
)
Answers
Answer:
(12, -12)
Step-by-Step:
I got it right on Edge 2021
Answer:
its 12,-
12
Step-by-step explanation:
Select all of the following tables which represent y as a function of x.
Answers
Answer:
the second and third one
Step-by-step explanation:
two y's that are the same can't have 2 outcomes
You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches
Answers
How do you write 3% as a fraction
Answers
Answer: 3/100
Step-by-step explanation:
Answer:
3/100
Step-by-step explanation:
