Answer:
[tex](4bc^{6} - \frac{1}{2})(4bc^{6} + \frac{1}{2})[/tex]
Step-by-step explanation:
Given
[tex]16b^2c^{12} - 0.25[/tex]
Required
Factor Completely
Follow the steps below;
Rewrite 0.25 as a fraction
[tex]16b^2c^{12} - \frac{25}{100}[/tex]
Simplify fraction to lowest term
[tex]16b^2c^{12} - \frac{1}{4}[/tex]
Expand [tex]16b^2c^{12}[/tex]
[tex]4^2b^2c^{6*2} - \frac{1}{4}[/tex]
[tex](4bc^{6})^2 - \frac{1}{4}[/tex]
Expand [tex]\frac{1}{4}[/tex]
[tex](4bc^{6})^2 - \frac{1}{2}*\frac{1}{2}[/tex]
[tex](4bc^{6})^2 -( \frac{1}{2})^2[/tex]
From laws of product of two squares
[tex]a^2 - b^2 = (a+b)(a-b)[/tex]
So,
[tex](4bc^{6})^2 -( \frac{1}{2})^2[/tex] is equivalent to
[tex](4bc^{6} - \frac{1}{2})(4bc^{6} + \frac{1}{2})[/tex]
The expression cannot be factorized any further;
Hence, the factor of [tex]16b^2c^{12} - 0.25[/tex] is [tex](4bc^{6} - \frac{1}{2})(4bc^{6} + \frac{1}{2})[/tex]
MN is the midsegment of the trapezoid ABCD. What is the length of segment AB?
A.8
B.9
C.10
D.14
Answer: It's not 10 lol
Step-by-step explanation:
Match the function with its graph. a. 1C, 2B, 3D, 4A c. 1D, 2A, 3C, 4B b. 1A, 2D, 3B, 4C d. 1A, 2B, 3C, 4D Please select the best answer from the choices provided A B C D (answer is C)
Answer:
The correct answer is "Option C".
Step-by-step explanation:
Given:
[tex]\bold{ 1) y= -\tan (x- \frac{\pi}{2})}\\\\\bold{ 2) y= \tan (x+ \frac{\pi}{2})}\\\\\bold{ 3) y= -\cot (x- \frac{\pi}{2})}\\\\\bold{ 4) y= \cot (x+ \frac{\pi}{2})}\\\\[/tex]
solve the above equation:
[tex]\Rightarrow 1) \ y= -\tan (x- \frac{\pi}{2})\\\\\Rightarrow \ y= \tan (\frac{\pi}{2}-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\[/tex]
[tex]\Rightarrow 3) \ y= -\cot (x- \frac{\pi}{2})\\\\\Rightarrow \ y=\cot ( \frac{\pi}{2}-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\[/tex]
[tex]\Rightarrow 4) \ y= \cot (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= \cot (\frac{\pi}{2}+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}[/tex]
The final answer is "Option C".
Answer:
c
Step-by-step explanation:
Please complete this very easy attachment!
Answer with an interger!
Answer:
4
Step-by-step explanation:
4/1=4
7/7=1
The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that
varies from the normal by more than 3°F. Create an absolute value inequality and solve it to determine what body
temperatures would be considered unhealthy.
Answer: | t- 98.6 | ≤ 3
Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality
.
| t- 98.6 | ≤ 3
Where t is the body temperature.
The absolute value inequality has 2 solutions:
1st solution
t-98.6≤ 3
t ≤ 3+98.6
t≤ 101.6
2nd solution
-(t-98.6) ≤ 3
-t+98.6 ≤ 3
98.6-3 ≤ t
95.6≤ t
Both:
95.6≤ t ≤ 101.6
Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.
Use Pascal's Triangle to determine the second term of the expansion of (x - 2)^5
Pascal's triangle up to the 5th iteration is
[tex]\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}[/tex]
This tells us
[tex](x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5[/tex]
so the second term in the expansion is
[tex]5x^4(-2)^1=\boxed{-10x^4}[/tex]
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
(the answer is not 16)
Answer:
11+6=17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
11+6=17
Write an equation of the line that passes through (-5, -2) and is parallel to y=
3x+1.
Answer:
b = 6
Step-by-step explanation:
y = 2x = + b
6 = 2 ×(0) + b
b = 6
The graph of a line in the xy - plane passes through the point (8,6) and
crosses the y axis at the point(0, -18). What is the x-intercept of the
line?
Answer:
(6,0)
Step-by-step explanation:
First, let's find the line. We can do that by using the slope-intercept form of a line which is y = mx + b where m and b are the slope and y-intercept respectively. We know b = -18 and we can find m by doing (-18 - 6) / (0 - 8) = -24 / -8 = 3. Therefore, the equation of the line is y = 3x - 18. To find the x-intercept, we'll set y equal to 0. We get 0 = 3x - 18 → 3x = 18 → x = 6. Therefore, the x-intercept is (6,0). Hope this helps!
7(2x+6)=1 plzzz Yelp
Answer:
[tex]x=-\dfrac{41}{14}[/tex]
Step-by-step explanation:
[tex]7(2x+6)=1[/tex]
Expand parentheses:
[tex]14x+42=1[/tex]
Subtract 42 from both sides:
[tex]14x=-41[/tex]
Divide both sides by 14:
[tex]x=-\dfrac{41}{14}[/tex]
Hope this helps!
Answer:
x = -41/14
Step-by-step explanation:
7(2x+6)=1
Distribute
14x +42 =1
Subtract 42 from each side
14x+42-42 = 1-42
14x = -41
Divide each side by 14
14x/14 = -41/14
x = -41/14
Solve the following:
y = x + 3
4x + y = 18
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answer:
(3,6)
Step-by-step explanation:
We can substitute y for x+3 in the second equation
4x + x + 3 = 18
5x = 15
x=3
Plug x back into the equation
y = 3 + 3
y = 6
Answer:
B (3 ; 6)
Step-by-step explanation:
y = x + 3
4x + y = 18
4x + (x + 3) = 18
5x = 18 - 3
5x = 15
x = 3
y = x + 3
y = 3 + 3
y = 6
what is the equation of a line that passes through the point (-2,5) and is parallel to a line with a slope of 3?
Answer:
Step-by-step explanation:
y - 5 = 3(x+ 2)
y - 5 = 3x + 6
y = 3x + 11
Plz Answer it ASAP !!!
Answer:
91584.38
Step-by-step explanation:
Round the 7 in the hundredths place to an 8 because the 7 in the thousandths place would make the number round up.
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees. *please hurry*
Answer:
x = 13
Angle 1 = 150 degrees
Angle 8 = 30 degrees
Step-by-step explanation:
11x + 7 + x + 17 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 13
11(13) + 7 = 150
(13) + 17 = 30
The co-interior angles are solved and x = 13
The measure of angle 1 = 150°
The measure of angle 1 = 30°
Given data:
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line.
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
The angles 1 and 8 are co-interior angles.
So, 11x + 7 + x + 17 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 13
So, the measure of angle 1 = 11(13) + 7 = 150°
The measure of angle 8 = (13) + 17 = 30°
Hence , the parallel lines are solved.
To learn more about angles in parallel lines click :
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The complete question is attached below:
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees.
HELP MEEEEEE!
Which type of account would you suggest Tyler deposit his money into: the account with simple interest or compound interest? Justify your reasoning.
Answer:
Tyler should be suggested to deposit his money in Compound interest because it compound the interest for all the Successive years which give more interest then Simple interest
Answer:
compound interest
Step-by-step explanation:
Hope it helps.
Show that you can factor the expression x2y - 12 + 3y - 4x2 by grouping in two ways. PLZ HELP WILL MARK BRAINLIEST
Answer: I got this hope this helps
(-y)(-3x)+14
Step-by-step explanation:
pls help i give u brainliest
Answer:
A≈804.25
Step-by-step explanation:
Divide the height by 2 which is 8 and then
A=4πr2=4·π·82≈804.24772
does a definite offer must include enough information to reasonably infer the terms?
Answer: Yes, it must.
Step-by-step explanation:
By definition, a definite offer must offer enough information to the offerer to understand the offer. In other words, the terms must be clear enough for the offerer to understand the offer and decide if he/she accepts the offer or not.
So yes, a definite offer must include enough information to infer the terms, if not, this is not a definite offer.
Michelles regular hourly wage at the candy factor is $9.86 for a 35- hour work week. She is paid double time for working on a holiday. Last week she worked 10 hours overtime on a holiday. How much more did she earn last week than she earns in a 35-hour work week?
I will give u 100 points and mark u as branniest if you can answer this question Solve for y. y + 19 = 25 –44 –6 6 44
Answer:
X= 6
Step-by-step explanation:
Do the opposite instead of addition do subtraction to get x
25 minus 19
A cuboid has a base of 12. 5 cm by 20 cm. holds exactly 1 litre of water. What is the height.
Answer:
4 cm
Step-by-step explanation:
V=L×W×H
V=1 litre = 1000 cm³
H= V/LW
1000/(12.5×20)=4
height= 4cm
I need help with this one! Can anyone help me?
Which of the following illustrates the truth value of the glven statements?
George Washington was President of Mexico or Abe Lincoln was President of Spain.
OFT-T
OFF-F
OTT-T
OTF-T
Answer:
None of them
Step-by-step explanation:
Because george and lincolin were both american presidents
Answer:
none of those statement are right
Step-by-step explanation:
They were both presidents of the United States
Which of the following is not an identity?
I need help.How many cubic Units are there?
Answer:
15 cubic units
Step-by-step explanation:
Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n.
a number subtracted from 46 is -21
a
46-n=-21
n - 67
b.
46-21 = 1
n = 67
C.
46 - 21 = n
n = 25
d.
46-n--21
n = 75
The answer would be B.
46
-67
-------
-21
I checked my math.
Answer: A. 46 - n = -21
n=67
Step-by-step explanation:
edge
5x - 2 = 10 - X
Please help
Answer:
x = 2
Step-by-step explanation:
5x - 2 = 10 - x
Add x to both sides
6x - 2 = 10
Add 2 to both sides
6x = 12
Divide both sides by 6
x = 2
Jack wants to purchase a DVD player whose price was $62.50 . He has $50 only. How much more money does Jack need to purchase the DVD player?
-must have:)..
step by step..
has to make scene
thank you and stay safe:)
Answer:
he needs 12.50 left
Step-by-step explanation:$62.50-$50
Answer:$12.50
Step-by-step explanation: This is a simple subtraction problem. You take the amount of the DVD player ( which is $62.50 ) and subtract the amount of money Jack has on him ( which is $50 ).
$62.50 - $50.00 = $12.50
The dimensions of a rectangle are increased by a scale factor of 2. If the original rectangle had an area of 16 square feet, what is the area of the larger rectangle?
Answer:
64 ft squared.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Evaluate: 8x6 + (12-4) /2
Answer:
8x6=48+10=98 answer is 98 i think
Step-by-step explanation:
Select all polynomials that are divisible by (x + 3).
Choose all answers that apply:
© A(x)= x3 + 4x2 – 9
® B(x) = x3 – 22 – 18
© C(x) = x3 – 6x – 9
© D(x) = x3 + 3x +3
Answer:
x³+4x²-9
Step-by-step explanation:
x+3=0
x=-3
put x=-3 into x³+4x²-9, if it is equal to zero then it is dividsble
so, (-3)³+4(-3)-9=0
so a is correct
The polynomial A(x) is divisible by (x+3).
What is factor?
A factor is a number or expression that divides another number or expression leaving no remainder.
What is factor theorem?If p(x) be the polynomial, then p(x) is divisible by q if q is the factor of p(x).
According to the given question
we have different polynomials
[tex]A(x) = x^{3} +4x^{2} -9[/tex]
When we divide A(x) by (x+3) we get remainder 0.
⇒ (x+3) is a factor of A(x).
Hence, the polynomial A(x) is divisible by (x+3).
[tex]B(x) = x^{3} -22 -18[/tex]
⇒ [tex]B(x) = x^{3} -30[/tex]
When we divide B(x) by (x+3) we get remainder -57.
⇒ (x+3) is not a factor of B(x)
Hence, the polynomial B(x) is not divisible by (x + 3).
[tex]C(x) =x^{3} -6x -9[/tex]
By dividing C(x) by (x +3) we get remainder -18
⇒ (x+3) is not a factor of C(x).
Hence, C(x) is not divisible by (x+3).
[tex]D(x) = x^{3} + 3x + 3[/tex]
By dividing D(x) by (x+3), we get remainder -33.
⇒ (x+3) is not a factor of D(x).
Hence, D(x) is not divisible by (x+3).
Thus, the polynomial A(x) is divisible by (x+3).
Learn more about factor theorem here:
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