Answer:
(y²-1)²
Step-by-step explanation:
Given:
y⁴ - 2y² + 1
Find:
Factor of given equation
Computation:
y⁴ - 2y² + 1
Change given equation in quadratic equation.
(y²)² - 2(y)²(1) + (-1)²
We know that
(a)² - 2(a)(b) + (b)²
(a-b)²
So,
(y²)² - 2(y)²(1) + (-1)²
(y²-1)²
What is the answer to 420 + 69 =
Answer:
420 + 69 = 489
Step-by-step explanation:
HOPE THIS HELPS
brainliest pls :)
Answer:
489
Step-by-step explanation:
420 + 69 = 489
Geometry Question! WORTH 20 POINTS
Answer:
x = 65
Explanation:
A whole circle equals 360*
half of that is 180*
180 - 115 = 65
What is the value of w?
Answer:
180 - 35 - 74 = 71 degrees is the angle value that is right next to 35 degree angle.
35 + 71 = 106
180 - 106 = 74.
So w = 74 degrees.
Mario spends$$80 to produce some pineapples. He is able to sell each one for$$7.
If p represents the number of pineapples he must sell to make a profit, write an inequality and solve for p. Do not round your answer.
35 points
Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.
DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.
Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?
Answer:
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
Step-by-step explanation:
The six measurements are:
202, 164, 157, 177, 113, 213
Sample mean:
Sum of all values divided by the number of values which is 6. So
[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]
Sample standard deviation:
Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So
[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]
Confidence interval
We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm
The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
Joe has read 80% of a book. He has 6 more pages to finish. How many pages are there in the book?
Answer:
30 pages in this book
Step-by-step explanation:
20% is equal 6 pages
so 80% is equal (80/20)*6+6=30
1. The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the
following equations represents the total cost, c, in dollars for h hours of phone use?
a c= 0.20(60h)
b c= 0.20 + 60
d =
Answer:
A is correct
Step-by-step explanation:
[tex]\frac{0.20}{1min}[/tex] = [tex]\frac{12.00\\}{1 hour}[/tex]
We can scale the ratio to give the most accurate answer.
0.20 X 60 = 12.00
*pls give brainlist*
Please help, if you’re correct I’ll mark you as brainiest!!!
Answer:
A
Step-by-step explanation:
950 is 95% of 1000
so he lost 5 percent, which can be represented as -5.0%
Answer:
Step-by-step explanation:
because the value went down.. we know the the rate of return , is negative. then we just have to think about , how much is 50 of 1000 ?? well 10 is 10% of 100 right? so 100 is 10% or 1000, right? sooo half of 100, or 50, is 5% of 1000,
so -5% is the return on investment (roi)
which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
Answer:
8:15
or 8/15
Step-by-step explanation:
8 out of 15
Answer:
8:15
Step-by-step explanation:
There are 8 red apples and total of 15 apples
Blake gives plano lessons in the evenings. He earns $20 for each plano lesson and has between 0 and 6 lessons each evening. The amount he
earns in an evening depends on the number of lessons he gives. What is the range of this relation?
A. {0, 20, 40, 60, 80, 100, 120)
B.Osys 120
C. {0, 1, 2, 3, 4, 5, 6)
D. O sys 6
WILL GIVE BRAINLIEST
Answer:D
Step-by-step explanation:
Answer:
A. {0, 20, 40, 60, 80, 100, 120)
Step-by-step explanation:
:)
Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information
Answer:
a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]
b) A test statistic of -2.06 should be used.
Step-by-step explanation:
Question a:
One water-treatment plant has a target pH of 8.5.
At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:
[tex]H_{0}: \mu = 8.5[/tex]
At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:
[tex]H_{a}: \mu \neq 8.5[/tex]
Question b:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
8.5 is tested at the null hypothesis:
This means that [tex]\mu = 8.5[/tex]
The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.
This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]
[tex]z = -2.06[/tex]
A test statistic of -2.06 should be used.
ANSWER ONLY IF YOU KNOW ( no links or ill report you)
Step-by-step explanation:
[tex]C=2\pi r[/tex]
[tex]C=2*\pi *28[/tex]
[tex]C=56\pi[/tex]
Yes, it is because the circumference is always [tex]2\pi[/tex] times the amount of the radius.
Please help giviing brainliest!!!
Answer:
2 1/2 x 3 1/2 x 7 = 61 1/4
What is the m
Need help please!
9514 1404 393
Answer:
27
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the arc it subtends.
∠P = (RT)/2
∠P = 54/2
∠P = 27
plot-6 what is the sum of-6 and 9
Answer:
3
Step-by-step explanation:
I believe the answer is 3 because:
- 6 + 9 = 3
minus and plus are equal to minus therefore we minused it and there is no minus sign with 3 because we always use the sign which is with the greater number.
— hope this helped :)!
A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of
square prism with a base area of 16 square inches and a height of 4 25 inches
Part B What is the surface area, in square inches, of the package?
Answer:
I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong
Step-by-step explanation:
Look at the pattern shown below.
2, 4, 16, 256 ...
What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?
A. (F(n))^2
B. 2(f(n))
C. (F(n)-1)^2
D. 2(f(n)-1)
Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]
So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]
For the next term, it is [tex]f(n+1)[/tex]
So,
[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AT
110%
Х
B
>C
Angles are not drawn to scale.
Enter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
The parallelogram pictured below has a perimeter of 129. Find the value of y.
Answer:
y = 2.5
Step-by-step explanation:
2(17y + 6) + 2(10y - 9) = 129
34y + 12 + 20y - 18 = 129
54y - 6 = 129
54y = 135
y = 2.5
5. How much should Chantal budget per month to make sure she has enough
money to pay her car expenses? Last year she had variable expenses of
$2,125.10 and fixed expenses of $4,176.43
Answer:
$525.13
Step-by-step explanation:
cost per month = total expenses / months in a year
total expenses = fixed cost + variable cost
$2,125.10 + $4,176.43 = $6,301.53
cost per month = $6,301.53/ 12 = $525.13
The speed of a boat in still water is 10 km/hr. The boat travels 24 km upstream, turns
around and comes back the same route. The entire trip takes 5 hours, What is the
speed of the current?
Answer:
rate of the current = 2 km/hr
Step-by-step explanation:
d = rt
Let c = rate of the current
Rate of boat downstream = 10 + c
Time going downstream = 24/(10 + c)
Rate of boat upstream = 10 - c
Time going upstream = 24/(10 - c)
Since the total time is 5 hr, then
24/(10 + c) + 24/(10 - c) = 5
24(10 - c) + 24(10 + c) = 5(10 + c)(10 - c)
240 - 24c + 240 + 24c = 500 - 5c^2
480 = 500 - 5c^2
5c^2 = 20
c^2 = 4
c = 2 or -2
Since a rate cannot be negative, the rate of the current = 2 km/hr
Is this the right answer?,please help before I turn it in
Pianni Beverages produce two ready-mixed cocktail drinks; the Zombie and the Skyjack. Each is a mixture of vodka, vermouth, and ginger. It takes 3 litres of vodka, 6 litres of vermouth and 1 litre of ginger to make 10 litres of Zombie. It takes 5 litres of vodka, 3 litres of vermouth and 2 litres of ginger to make 10 litres of Skyjack.
The company makes £150 profit per 10 litres of Zombie and £200 profit per 10 litres of Skyjack. The maximum available supplies per day are: 1500 litres of vodka, 1500 litres of vermouth and 400 litres of ginger. Pianni Beverages wants to maximize profits on a daily basis by producing the optimal number of Zombie and Skyjack.
Answer:
£32000 is the answer to that question and I appreciate your help
In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)
Answer:
96
Step-by-step explanation:
4×8×3=96 is the surface area
How many solutions will the equation have?
|x- 13| - 5= -5
Answer: x=13
Step-by-step explanation: Hope this help :D
Answer:
One Solution
__________
x = 13
__________
Explanation:
| x – 13 | – 5 = -5
[Add 5 to both sides to isolate | x – 13 | and cancel out –5]
| x – 13 | – 5 + 5 = -5 + 5
[Reduce]
| x – 13 | = 0
[An absolute value can include both a positive and negative value so |x| = n → x = ±n ]
x – 13 = ± 0
[Add 13 to both sides to get the value of x]
x – 13 + 13 = 13 ± 0
x = 13 ± 0
[Adding or subtracting zero will leave you with the same number]
x = 13
escribe en forma de potencia y encuentra el valor
((-9)²)³
Answer:
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
using multiplicative law of indices
2 by 3 Is 6
so, -9⁶=531441
Rewrite each if the following division problems as a multiplication problem.
a. 24/3 = 8
b. 336/8 = x
9514 1404 393
Answer:
a. 24 = 8·3
b. 336 = 8·x
Step-by-step explanation:
A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).
a/b = c ⇔ a = bc
__
a. 24/3 = 8 ⇒ 24 = 3·8
b. 336/8 = x ⇒ 336 = 8x
Approximate, in miles, the circumference of a circle with radius equal to 7/11 miles. (Use 22/7 to approximate .)
Answer: 4 miles
Step-by-step explanation:
The circumference of a circle can be calculated by using the formula:
= 2πr
where,
π = 22/7
r = radius = 7/11 miles
Therefore, circumference = 2πr
= 2 × 22/7 × 7/11
= 4 miles
Th circumference is 4 miles.
Trying to understand this, someone help pls thank you !
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Lines.
We know that perpendicular lines have a inverse negative slope, such that
m1*m2 = -1
hence, m1 = -1/m2
so the perpendicular line is,
==> y-(5) = 3/2(x-(-6))
==> y+5 = 3/2(x+6)
==> y+5 = 3/2*(x) +9
=> y = 3/2(x) +9-5
==> y = 3/2*(x) + 4
hence the correct option is D.)
Point G is (-8,6) Point J is a reflection of point G and is reflected across the x axis what are the coordinates of point J?
Answer:
(-8, -6)
Step-by-step explanation:
Given the Point G is (-8,6) if Point J is a reflection of point G and is reflected across the x axis, to get the coordinate of point J, we will negate the y coordinate while retaining the x coordinate value
J = (-8, -(6))
J = (-8, -6)
Hence the required coordinate of J is (-8, -6)