The complete factor of the expression [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex] is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex]correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex].
To solve the expression properly we have to take common (2x²). Then we have
[tex]\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )[/tex]
The factor is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex].
More about the factorization link is given below.
https://brainly.com/question/6810544
Which shows the zeros of f(x) = x^2 – x – 2?
A. –1 and –2
B. 1 and –2
C. 1 and 2
D. 2 and –1
£54 is split into a ratio of 5:4 how much does each person get?
Answer:
$30 and $24
Step-by-step explanation:
Hello! We can rewrite ratios as 5x:4x because essentially we can put x in for any value and it would still be the same ratio (10:8, 15:12). So we will put x there just to make it easier to understand.
You know that the ratio of 5x:4x adds up to 54. And, now that we have the x, we can do a nifty trick. We can add 5x and 4x to get 9x. Now we have 9x = 54. If we simplify this, we get x = 6.
Now that we have x = 6, we can plug in that value in the ratio 5x:4x. 5 * 6 = 30 and 4 * 6 is 24
And that is exactly your answer: 30 and 24 dollars respectively
If you want to test it, you can add the two numbers to see if it adds to the number you want it to. After that, you can put it in a ratio and simplify it to see if it simplifies down to the same ratio. In this case, the two numbers satisfy both conditions.
Let me know if you have any questions!
Two 50-μm-wide slits spaced 0.25 mm apart are illuminated by blue laser light with a wavelength of 450 nm. The interference pattern is observed on a screen 2.0 m behind the slits.
How many bright fringes are seen in the central maximum that spans the distance between the first missing order on one side and the first missing order on the other side?
Answer:
your answer is 5.45 that is your answer
The number of 9 bright fringes is seen in the central maximum that spans the distance between the first missing order is 5 on one side and the first missing order on the other side
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
Blue laser light with a wavelength of 450 nm illuminates two 50-m-wide slits positioned 0.25 mm apart. On a screen 2.0 m behind the slits, the interference pattern is visible.
For dark fringe, the equation as:
yp = p λ L / d
for p =1
yp = λ× L/a
For bright fringe, the equation as:
ym = m λL / d
from (i) and (ii)
For missing order, the equation as:
ym = yp
m λL / d = λ× L/a
m=d/a
m = 0.25×10⁻³/ (50×10⁻⁶)
m=5
The number of bright fringes, the equation as:
N-1=2(m-1)
N-1 = 2×4
N = 8 + 1
N=9
Learn more about Arithmetic operations here:
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Complete the following statement.
20% of $55 = $____
Answer:
$11
Step-by-step explanation:
Let's take 20% and convert it into a decimal, which is .20. Multiply that percentage by $55 (.20 * 55) and you get $11, which is the answer.
There are 12 counters in a bag.
3 of the counters are red.
1 of the counters is blue.
2 of the counters are yellow.
The rest of the counters are green.
Caitlin takes at random a counter from the bag.s
Show that the probability that this counter is yellow or green is 2/3.
Answer:
number of green counters
=12-3+1+2
=6
number of green and yellow counters
=6+2
=8
probability of getting green or yellow counter
=8/12
=2/3
Step-by-step explanation:
Carla plans to invest $9,000 for 10 years. Better Bank offers a 10 year CD at an annual rate of 4% using simple interest. How much is the investment worth?.
If Carla plans to invest $9,000 for 10 years and Better Bank offers a 10 year CD at an annual rate of 4% using simple interest. then investment will be worth $12600 .
What is simple interest?
Simple interest is based on the principal amount of a loan or the first deposit in a savings account.
Given that Carla plans to invest $9,000 for 10 years. Better Bank offers a 10 year CD at an annual rate of 4% using simple interest.
We know
A= PRT+ P =P(RT+1)
Where
A = Final amount,
P = Principal amount=9000
R = Annual interest rate in decimal form=0.04
t = Time in years=10
Final amount can be calculated as
[tex]&A=\$ 9000(1+0.04 \times 10) \\\\&A=\$ 9000(1+0.4) \\\\&A=\$ 9000(1.4) \\\\&A=\$ 12600\\[/tex]
If Carla plans to invest $9,000 for 10 years and Better Bank offers a 10 year CD at an annual rate of 4% using simple interest. then investment will be worth $12600 .
To learn more about simple interest visit :https://brainly.com/question/2294792
What is the largest fraction 3/4 7/8 4/5/7/9 7/100
How do you solve this ?
Step-by-step explanation:
similR triangles
so
x/(x+16) = 20/32= 5/8
8x = 5x+80
3x = 80
x = 80/3
Which of these is a proportional relationship?
A
Justin charges $1 for 1 cup of lemonade, $3 for 2 cups of lemonade and $4 for 3 cups of lemonade.
B
Jared charges $1 for 1 cup of lemonade, $2 for 2 cups of lemonade and $3.50 for 3 cups of lemonade.
C
Jasmyne charges $1 for 2 cups of lemonade, $2 for 4 cups of lemonade and $3 for 6 cups of lemonade.
D
Jessica charges $1 for 1 cup of lemonade and $2 for anyone who wants 2, 3 or 4 cups of lemonade.
BACK
(C) jasmyne is the one with the proportinal relationship
algebra question pleaseeee help
Answer:
Exponential growth, 130%
Step-by-step explanation:
The number being multiplied as x is changing is 1.3, and that represents growth because it is greater than 1. The rate of growth would then be 130%, as 1.3 represented as a percentage is 130%.
what is 1000+2.10. I hope everyone has a nice day!!!
pls help with this question
Answer:
point A is x=4 and y=12
point B is x=16 and y=32
Use the table of systolic blood pressures (in mm Hg) in each arm
to determine a line of regression that predicts the pressure in the
left arm given the pressure in the right arm.
Right Arm 102 101 94 79 79
Left Arm 175 169 162 146 144
Answer:
The 90% confidence interval would be given by (63.330;81.070)
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Let put some notation
x=left arm , y = right arm
x: 175 169 182 146 144
y: 102 101 94 79 79
Since the Confidence is 0.90 or 90%, the value of a = 0.1 and a/2= 0.05we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that ta/2= 2.13
Question 1-2
Millie is drawing a triangle. One side has a length of 9 units, and anoth-
6units
What could be the length of the third side of the triangle
Find the area of the rhombus
9 in
12 in
A = [?] in?
=
Enter
Based on information given on rhombus' dimensions and the area formula of the rhombus, we conclude that the area of the figure is 54 square inches.
How to determine the area of a rhombusThe area of a rhombus (A), in square inches, is represented by a model in terms of the diagonals of the figure, which is described below:
A = 0.5 · d · D (1)
Where:
d - Small diagonal, in inches.D - Large diagonal, in inches.If we know that d = 9 in and D = 12 in, then the area of the rhombus is:
A = 0.5 · (9) · (12)
A = 54 in²
Based on information given on rhombus' dimensions and the area formula of the rhombus, we conclude that the area of the figure is 54 square inches.
Remark
The statement is incomplete. Complete statement is shown below:
Find the area of the rhombus with following dimensions:
Small diagonal - 9 in, large diagonal - 12 in
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Answer: 216 in²
Step-by-step explanation:
the area (A) of a rhombus is calculated as
A = × d₁ × d₂ (d₁ and d₂ are the lengths of the diagonals )
the diagonals of a rhombus bisect each other , then
d₁ = 12 + 12 = 24
d₂ = 9 + 9 = 18
then
A = × 24 × 18 = 12 × 18 = 216 in²
Red is the favorite color of 7 students. Yellow is the favorite color of 6 students. How many more students like red than yellow?
Which answer shows how to solve the problem?
(PLEASE DONT ANSWER WITH LIKE SUBTRACTION AND ADDING, I ALREADY KNOW THESE KIND OF MATH!!)
Well I know you said dont answer with subtraction and adding but thats how you do it... 1 more student likes read more than yellow
7-6.. is 1
6+1.. is 7
Dont know how else to tell ya
Answer:
1 student
Step-by-step explanation:
because 7 students like red and only 6 like yellow so when u subtract six from seven you get 1
if three planets complete a revolution around the sun once every 200,250,and 300 days respectively when do they all come together again
Answer:
The Answer is - 3000 days
Step-by-step explanation:
we have to find LCM of 200,250,300 and the answer is 3000 days
Bradley wants to carpet his hallway. The hallway is 4 feet wide and 10 feet long. How much carpeting does he need?
Answer:
49 feet long of carpeting
Step-by-step explanation:
10 feet × 4 feet = 40 feet
A package of Oreos has 51 cookies. how many cookies would there be if there is 4 rows instead of 3 rows? Please Help!
Answer:
number of cookies in each row = 17
Step-by-step explanation:
there are 4 triangles and 20 squares what is the simplest ratio of triangles to squares
Answer: 4:20 but that simplified would be 1:5
Triangles to squares
Please help me solve this problem asap
Answer:
32
Step-by-step explanation:
You can use the Pythagorean theorem to solve this.
You know two sides of the triangle that is formed by the diagonal.
[tex]32^2+7^2=\sqrt(c)[/tex]
Please give brainliest.
Help on this please
Answer:
D I think it's d I'm 90% confident
Answer:
D I think it's d I'm 90% confident
Step-by-step explanation:
5/10 = n/40 HELP, WILL GIVE BRAINLIST IF PERFECT ANSWER
Answer:
n=20
Step-by-step explanation:
5/10 equals 1/2 when simplified since 5÷5=1 and 10÷5=2
Half of 40 equals 40÷2 = 20 so n=20
Another way to do it is
Since the denominator is multiplied by 4 to get to 40
We must multiply 5 by 4 to get the numerator:
5×4=20
So n=20
Use prime factors to determine the HFC of 90 and 126
Answer:
Step-by-step explanation:
Comment
The question means that you are to break both numbers down in to prime factors. When you do, what do the numbers have in common
90: 2 * 3 * 3 * 5
126: 2 * 3 * 3 * 7
The bolded numbers are the primes in common
Primes in common (answer): 2 * 3 * 3 = 18
slope of (-8,-3) (-1,-2)
Answer:
(1,2) , (3,8)
Slope is equal to the change in y
over the change in x
, or rise over run.
m=change in ychange in x
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m=y2−y1x2−x1
Substitute in the values of x
and y
into the equation to find the slope.
m=8−(2)3−(1)
Simplify.
Tap for more steps...
m=3
Step-by-step explanation:
Answer:
- 1/5
Step-by-step explanation:
Use the slope formula to find the slope m
m = -1/5
I think that's the answer.
There is a new treatment to help smokers stop smoking in an experiment, 80% of 300 smokers quit after 10 days of treatment which of the following is the 95% confidence interval?
(0.7547, 0.8453)
(8096, 08904)
(08048 08952)
(0.749,0 851)
Answer:
(0.755, 0.845)
Step-by-step explanation:
I got it right, on the test so trust me!
5 pumps are required to fill a tank in 90 minutes .how many pumps of the same type are used to fill the tank in 30 minutes
Answer: 15 pumps
More the number of pumps lesser is the time taken to fill the tank
Number of pumps ∝ 1/Time
n = k / t
[where k = constant]
In 1st case
5 = k / (1.5)
k = 7.5
In second case
n = k / t
= 7.5 / 0.5
= 15
∴ 15 pumps are used to fill the empty tank in half an hour.
HELP How many 1/4 cup servings of milk are in a 4-cup container? show your math
Answer:
16 servings
Step-by-step explanation:
ok so there are 4 of the 1/4 cups for each cup, knowing that we can take each cup times 4 so 4 times 4 equals 16.
Cristy and 3 friends go to the movies. One ticket costs $1.75. Popcorn costs $2.00 a bag. Drinks and candy cost $1.00 each. What expression gives the total amount of money needed for Cristy and her 3 friends to each buy a ticket, bag of popcorn, drink, and candy?
which answer is correct
(4×1.75)+(4×2.00)+(4×1.00)+(4×1.00)
1.75+2.00+1.00+1.00
50−1.75+2.00+1.00+1.00
(3×1.75)+(3×2.00)+(3×1.00)+(3×1.00)−50
Answer:
the answer for this problem is 1.75+2.00+1.00+1.00
hope this helps :D
What is 45 divided by 70?
Answer:
0.6428571429
=
9/14
this is the answer
0.64 or 1.55
Step-by-step explanation:
