Answer:
a - b2
Step-by-step explanation:
STEP 1 :
Trying to factor as a Difference of Squares:
1.1 Factoring: a-b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : a1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Final result :
a - b2
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST! :)
9×7=
9×70=
9×700=
9×7,000=
9×70,000=
9×700,000=
9×7,000,000=
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
the question is the picture
If the cube shown is 6 inches on all sides, what is the length of the diagonal, X, of the cube?
A)
V6 inches
B)
3 V6 inches
Eliminate
)
6V3 inches
D)
6 V6 inches
Answer:
C
Step-by-step explanation:
I did it on USA test prep
Mae ling earns a weekly salary of 400 plus a 6.5 commission on sales at a gift shop how much would she make in a work week if she sold 4300 worth of merchandise
Answer:
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
Step-by-step explanation:
Given that
Weekly salary of Mae Ling = $400
Commission rate = 6.5%
Mae ling's total weekly earning will be her salary plus her commission on the sales she does in the week.
Given that her sales for the said week are: $4300
Her commission will be:
[tex]Commission = 6.5\%\ of\ sales\\ = 0.065*4300\\=\$279.5[/tex]
Now to calculate her total salary, we will add the weekly salary and commission.
[tex]Total\ weekly\ Earning = Weekly\ Salary +\ Commission\\= \$400+\$279.5\\=\$679.5[/tex]
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Find the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.
Answer:
Don't have
Step-by-step explanation:
In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of thid, to the nearest tenth. Show your work with reasoning for each step. stepstep
If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals.
A.) $11,821.07
B.)$5,024
C.)$6,312.38
D.)$6,356.25
Answer: D
Step-by-step explanation: Use money chip calculator
The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.
Answer:
the rise is 6 and the run is 7. the rate of leaking per minunte is about .8 gallons per minute
Step-by-step explanation:
i think its right this time
Rods car takes 14 gallon to fill up and gets 35 miles per gallon rod drives 17.5 miles a day can rod go a whole month with out filling up
Answer:
No
Step-by-step explanation:
Rod would have to fill his care up 7 times to drive a whole month, cause a month would be 225 miles and his car holds 35 miles worth of gas.
What is 3 to the 4th power
Answer:
3 to the 4th power is 81.
Step-by-step explanation:
You would do 3 × 3, which would get you to 9. Then, you multiply 9 × 9, which gives you 81.
What is the first thing you do before solving an adding fraction problem
Pls help
Answer:
The first thing you do is make the denominators equal on both sides.
Step-by-step explanation:
As a example if you have the equation:
[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =
you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10
this would make the equation
[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]
next you have to do the same with the numerator.
so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]
same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]
next you add and simplify if needed
Answer:
3 simple steps
Step-by-step explanation:
1. Make sure the bottom numbers ( the denominators ) are the same
IF DIFFERENT find the LCD
2. Add the top numbers (the numerators )
3. simplify the fraction if needed
ex: 1/4 +1/4 = 2/4 (bottoms were the same) simplify 1/2
1/3 + 1/6 LCD of 3 and 6 so make the bottom numbers 6
so multiply 1/3 x 2 = 2/6
now you have 2/6 + 1/6 = 3/6 simplify 1/2
The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 9, 18, 27, 36, 45. Points are shown on ordered pairs 0, 0 and 1, 9 and 2, 18 and 3, 27 and 4, 36. These points are connected by a line. The label on the x axis is Lemon lime soda in cups. The title on the y axis is Peach juice in cups.
What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?
9:1
1:36
36:1
1:9
Answer:
A-9:1 is correct i can confirm since i took the test
Step-by-step explanation:
if you share 2 bars in the ratio 1: and 1:7 how mAny pieces will each person get
Answer:
I think it will be 4:7 im not very sure tho
Step-by-step explanation:
4. What is the sum of these numbers?
-7,5, -3, 6, -4, 7, -5, 3, -1, 4.
The sum is
Answer:
the sum is going by 2
Step-by-step explanation:
the sum is 2
given that cosec A= -2, sec B= -2, A and B lie in the same quadrant. Find sin (2A+2B)
help me please,
Answer:
sin (2A+2B) = 0
Step-by-step explanation:
Given that,
cosec A= -2 and sec B= -2, A and B lie in the same quadrant.
We need to find the value of sin (2A+2B).
[tex]A=cosec^{-1}(-2)\\\\=-30[/tex]
And
[tex]B=\sec^{-1}(-2)\\\\=120^{\circ}[/tex]
To find the value of sin (2A+2B) as follows :
sin [2(-30)+2(120)] = sin (-60+240)
=sin (180)
= 0
So, the value of sin (2A+2B) is qual to 0.
WILL GIVE BRAINLIEST IF CORRECT
Answer:
A.true)
Step-by-step explanation:
Hope this helps!
which of the following are properties of all rectangles? Select all that apply.
Answer:
see explanation
Step-by-step explanation:
The rectangle has the following properties
• Opposite sides are parallel and congruent
• All angles are right angles
• The diagonals are congruent
• The diagonals bisect each other
Thus
They are quadrilaterals
Opposite sides are equal in length
All angles are 90°
Opposite sides are parallel
Rectangles are not parallelograms ( the angles of a parallelogram are not necessarily right and diagonals are not congruent )
What is k? (the problem is a picture (attached to this post))
Answer:
K=4
Step-by-step explanation:
Step 1: Multiply both sides by k-3
Step 2: Add 9 to both sides
Step 3: Divide both sides by 3
Find the midpoint of the segment with the following endpoints.
(-3, 8) and (-8,2)
Answer:
[tex](\frac{-11}{2},5)[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 8)
Point (-8, 2)
Step 2: Solve for midpoint
Substitute: [tex](\frac{-3-8}{2},\frac{8+2}{2})[/tex]Subtract/Add: [tex](\frac{-11}{2},\frac{10}{2})[/tex]Divide: [tex](\frac{-11}{2},5)[/tex]Answer:
The answer is (-5.5, 5)
Please help it would mean alot!
Points and brinliast!
Answer:
Maybe because what about the other votes that were supposed to be left.
Step-by-step explanation:
Express 8e^i16pie in rectangular, polar and trignometric form?
Euler's formula immediately gives
[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]
and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.
The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at one point (k+2,2k), what is the value of k?
Answer:
The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)
Step-by-step explanation:
that should be right
The value of k is 2/3.
We have,
To determine the value of k, we need to find the equation of the line passing through the origin that is perpendicular to the line y + 2x = b.
The given line, y + 2x = b, can be rewritten in slope-intercept form
(y = mx + c) by solving for y:
y = -2x + b
Since the line passing through the origin is perpendicular to this line, its slope will be the negative reciprocal of the slope of the given line.
The given line has a slope of -2, so the perpendicular line will have a slope of 1/2.
Using the point-slope form (y - y1 = m(x - x1)) with the point (k + 2, 2k), we can write the equation of the perpendicular line passing through the origin as:
y - 0 = (1/2)(x - 0)
y = (1/2)x
To find the value of k, we equate the y-values of the two lines at the point of intersection:
(1/2)x = 2k
x = 4k
Since the x-coordinate of the point of intersection is k + 2, we can set it equal to 4k and solve for k:
k + 2 = 4k
2 = 3k
k = 2/3
Therefore,
The value of k is 2/3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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in 7 hours, the temperature on the slopes of a mountain ski resort fell from 9° f to 2° f. what was the average change per hour.
Answer:
1 deggre per hour
Step-by-step explanation:
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answer:
No. He will not have enough dog food for 27 days.
Step-by-step explanation:
If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.
Please help someone
Answer:
root of 64, root of 71,pie squared
Step-by-step explanation:
6. a) Round 50.24 to the nearest whole number. Draw a number line to show your thinking.
Answer:
50
I've attached the drawing of my number line to show my thinking. Download to turn it in if you need to.
Have a beautiful day, and stay safe.
Given a cylinder with a volume of 502.4 in3and radius 4 in. Find the height of the cylinder.
Answer:
h = 9.99in
Step-by-step explanation:
...
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). Find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)
Answer:
0.1827
Step-by-step explanation:
Given mean of exponential distribution = 100
==> 1/χ = 100 ==> χ = 1/100 ==> χ = 0.01
PDF of χ , f(x) = χe^(-χx), x ≥ 0
===> f(x) = 0.01e^(-0.01x), x ≥ 0
Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day
P(X>170) = ∞∫170 f(x)dx
P(X>170) = ∞∫170 0.01 e^(0.01x) dx
P(X>170) = [e^(-0.01x) / -0.01]^∞ base 170
P(X>170) = -1 [e^-∞ - e^-0.01*170]
P(X>170) = e^-1.7
P(X>170) = 0.1827
The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827
URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise
Answer:
I think the answer is 720!
Step-by-step explanation:
PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?
Answer/Step-by-step explanation:
✅The y-intercept of the graph of Monday's storm means 0 mm of precipitation was recorded when the tracking started at 0 minutes. The y-intercept is 0 mm.
✅Thursday's Storm has the same y-intercept as the graph of Monday's Storm, which is also 0 mm precipitation at the beginning of the tracking. It has the same meaning as that of the y-intercept of the graph of Monday's Storm.