Answer:
w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²Step-by-step explanation:
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
What is perfect square?A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.
Here, we have,
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
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PLease solve this sketch for me
Answer:
1, 4, 5, 8 equals to 135 ( you can get these answers by simply calculating: 180 - 45 = 135 ( which are angles in a straight line[8 & 5].) 4 = 135 (corresponding angle to 8) and you get 1 = 135 ( opposite angle of 4)
2, 3, 6 equals to 45 ( you can get these answers from observing. 6 is opposite 45 therefore it is = 45°. 2 = 45( corresponding angle). 3 = 45 (opposite angles of 2 and is also alternate to 6)
A bookshelf is 3 feet long. Each book on the shelf is 3/4 inches wide. How many books will fit on the shelf? (Remember, there are 12 inches in a foot.)
Answer:
48
Step-by-step explanation:
3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48
Kevin runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
10.5 miles
Step-by-step explanation:
He runs 7/50 of a mile in 1 minute
In 75 min, he runs (7/50) • 75 = 10.5
He runs 10.5 mi in 75 min
Look for a pattern. Complete the last number.
3.6 million; 1,800 thousand, 9 hundred thousand; 450 thousand; _______ thousand
Answer:
225 thousand.
Step-by-step explanation:
You are dividing the number in half every time.
Answer:
See Below
Step-by-step explanation:
3,600,000 => 1,800,000 => 900,000 => 450,000 => ?
First, find the pattern.
How would you get from 3,600,000 to 1,800,000?
Lets look at this in a simpler format.
36 => 18
We know that if we divide 36 by 2 we get 18, so divide 3,600,000 by 2.
We get 1,800,000
Now, this might be the pattern. However, before we can say that, we need to test it out with the other #'s. So lets do that.
1,800,000 / 2 = 900,000
900,000 / 2 = 450,000
Great, so we see that this is the pattern: divide by two. Now that we know the pattern, we can continue to find the next number.
450,000 / 2 = ?
450,000 / 2 = 225,000
The next number in the pattern is 225 thousand.
Hope this helps! =D
here a subtraction problem that has been solved incorrectly 41-27=28 choose the addition sentence that check this subtraction problem a 41-27=68 b 41+28=69 c 28+27=55 which one is the right one
a dies not add/subtract correctly and b and c do
Solve for x and graph the solution on the number line below.
4x−2≤−26 or−6<4x−2
Answer:
- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10
i hope this work for you
and sory if im wrang
NEED TO KNOW ASAP PLEASE HELP
Describe the differences between these two transformations.
f (x) = (x - 5)^2 and f (x) = x^2-5
Answer:
You are squaring x and -5 on the first equation, and on the second equation you are just squaring x and subtracting 5.
Step-by-step explanation:
And since on the first equation x and -5 are in parenthesis that means that the square goes to both of them.
And the second one there is no parenthesis so the square only goes to the x.
I hope this helps you.
If y varies directly as x, and y = 6 when x= 3, find y when x = 9.
y =
when x= 9.
[tex] \frac{6}{3} = \frac{y}{9} [/tex]
[tex]3y = 6 \times 9[/tex]
[tex]3y = 54[/tex]
[tex]y = \frac{54}{3} = 18[/tex]
Can someone answer thx
Answer:
B.
Step-by-step explanation:
=3.3999
A retailer purchases an item for $40 and then adds a 70% markup. If a customer also has a pay a 6% sales tax, what is the final price of the item?
Label the value of X?
How many degrees does the minute hand of a clock travel in 1 minute? What angle does an hour hand travel in 1 min? HELP I WILL REWARD BRAINLIEST!! PLEASE
Answer:
minute hand:
in 60 minutes, the minute hand travels 360 degrees
60mins : 360°
1 : 6
so in 1 minute, the minute hand travels 6°
hour hand:
in 12hours the hour hand moves 360 degrees
in one hour, it moves 30 degrees
60min : 30°
6mins : 3°
1min : 3/6 = 0.5°
so in 1 minute, the hour hand travels 0.5°
hope this helps
brainliest please?
x
Answer:
6° 0.5°Step-by-step explanation:
The minute hand rotates full scale = 360° in 1 hour = 60 minutes
In one minute it travels:
360°/60 = 6°The hour hand rotates full scale = 360° in 12 hours = 12*60 minutes
In one minute it travels:
360°/(12*60) = 0.5°Can someone help me please <3
Step-by-step explanation:
4(2x-3):reason - Distributive property
8x-12=:reason - addition property of equality
8x=40: reason - division property of equality
x=5: reason - given
hope this answer helps u.
please mark it as the brainliest
2/3 divided by 1 4/9
Answer:
2/3 divided by 1 4/9 will be:
0.46153846153
or
6/13
Step-by-step explanation:
Find the area of the parallelogram
A.) 3,302 ft2
B.) 3,484 ft2
C.) 3,752 ft2
D.) 4,020 ft2
I NEED this answer in 5 MINUTES!
Answer:
3484 [tex]ft^{2}[/tex]
Step-by-step explanation:
a = bh
a = 67 x 52
a = 3484
Answer:
=> B.) 3,484 ft2
Step-by-step explanation:
=> The area of parallogram = base × height square units..
=> 67ft × 52ft
=> 3,484 ft²
Consider the tables that represent ordered pairs
corresponding to a function and its inverse.
When comparing the functions using the values in the
table, which conclusion can be made?
Y
f(x)
0
1
1 2.
10 100
x
10
1,000 100
3 2.
O According to the tables, f(x) does not have a y-
intercept.
O According to the tables, f'(x) does not have an X-
intercept.
O The domain of f(x) is restricted such that x = 0, so
the domain of f'(x) is restricted such that y 2 0.
O The range of f(x) includes values such that y 1, so
the domain of f'(x) includes values such that x 2 1.
According to the table the inverse of f(x) does not have an x-intercept
Functions and valuesThe y-intercept of the point where the x-values are zero. From the table of the function f(x), the function has a y-intercept at the point where x = 0
For the table of its inverse, there is no point where y is zero, hence the inverse of the function has no x-intercept
We can therefore conclude that according to the table the inverse of f(x) does not have an x-intercept
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what are the kinds of symetry?
I'm stuck on this horrible question
Answer:
Brainliest would be appreciated. This image has horizontal symmetry.
Step-by-step explanation:
If you put a horizontal line on the image, both sides will be symmetrical.
Answer:
Identity, reflection, inversion, proper rotation, and improper rotation
Catalina is moving to a new house. Her old
house is 3.5 miles away from her new house.
How many feet are between Catalina's old and
new house?
Answer:
18480 ft
Step by step explanation:
Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)
Step-by-step explanation:
if you are making double the number of batches, then yout would want to double the # of cups of beans to keep the same recipe.
Since you are doubling the ingredients, all the measurements would change. So yes, the amount of beans that occured most often would change by twice
PLEASE HELP ME!
Which is a solution of the inequality x + 2 <8?
Group of answer choices
z < 4
z < 6
z = 6
z < 10
Answer:
x < 6
Step-by-step explanation:
[tex]x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]
[tex]x+2-2 < 8-2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x < 6[/tex]
~Learn with Lenvy~
Answer:
z < 6
Step-by-step explanation:
this is the correct answer
42 divided by 11167
72 divided by 13714
24 divided by 91937
70 divided by 61261
[MA]:
1. 265 r 37
2. 190 r 34
3. 3,830 r 17
4. 875 r 11
The explanation:
1.
42 x 2 = 84
84 - 11167 = 276 (or "?")
276 - 252 = 247 - 210 = 37
2.
72 x 1 = 72
13714 - 72 = 651 - 648 = 34
3.
24 x 3 = 72
91937 - 72 = 199 - 192 = 73 - 72 = 17
4.
70 x 8 = 560
61261 - 560 - 526 - 490 - 361 - 350 = 11
Writer's note: I hope this helps you.
[xArtsy]
After divide, solution of the expression are,
42 divided by 11167 = 0.0037
72 divided by 13714 = 0.0052
24 divided by 91937 = 0.00026
70 divided by 61261 = 0.0011
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
42 divided by 11167
72 divided by 13714
24 divided by 91937
70 divided by 61261
Now, We can simplify as;
⇒ 42 ÷ 11167
⇒ 42 / 11167
⇒ 0.0037
⇒ 72 ÷ 13714
⇒ 72 / 13714
⇒ 0.0052
⇒ 24 ÷ 91937
⇒ 24 / 91937
⇒ 0.00026
⇒ 70 ÷ 61261
⇒ 70 / 61261
⇒ 0.0011
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Help!!!!! Hurry please!!!! REAL ANSWER ONLY!!!!
Evaluate 1/x^-2 for x=7
Answer:
49
Step-by-step explanation:
In division, send the term with the negative exponent to the other side and make the exponent positive. For example, send 7^-2 to the numerator and make it 7^2. 7^2 = 49
Select the statements that are true for the graph of y=(x−1)2−6 .
Select all correct statements.
The vertex is (1, −6) .
The graph has a maximum.
The vertex is (−1, −6) .
The graph has a minimum.
Answer:
graph has a minimum ( looks like V or faces upward )
vertex is (1, −6)
Step-by-step explanation:
*** got to put ^ when typing exponents!!!
y=(x−1)^2−6
y=x^2-2x+1−6
y=x^2-2x-5
basic form is
y = ax^2+bx+c
x vertex = -b/2a
x vertex = -(-2)/2(1)
x vertex = 2/2
x vertex = 1
y vertex = plug x back into the equation
y vertex = y=(1)^2-2(1)-5
y vertex = y=1-2-5
y vertex = y=-6
vertex is (1, −6)
basic form is
y = ax^2+bx+c
if a is positive curve has a minimum means it looks like V or faces upward
if a is negative curve has a maximum means it looks like ^ or faces down
here a is positive so
graph has a minimum
Brian McLogan
Answer:
A) The vertex is (1, -6)
D) The graph has a minimum
Step-by-step explanation:
Just took the test and these were the correct answers. Hope this helps!!!
I WILL MARK BRAINLEST!
A group of campers sets up their tent at 6 1/4 meters above sea level. They hike down a valley and stop 9 1/2 meters below where they set up camp. What is the campers’ elevation when they stop? *
Answer:
c
Step-by-step explanation:
A chocolate company makes chocolate malt balls that are 0.8 inches in diameter. The carton they are to be packed in is approximately a rectangular prism with the dimensions 4 inches by 3 inches by 7.5 inches. How many malt balls will fit in the
Given parameters:
Diameter of the malt balls = 0.8in
Dimensions of the prism = 4in x 3in x 7.5in
Unknown:
Number of malt balls that will fit in the carton = ?
Solution:
To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.
Volume of the malt balls = [tex]\frac{4}{3} \pi r^{3}[/tex]
This is because we assume that the balls have a spherical shape.
Where r is radius and π is a constant
Radius of the malt balls = [tex]\frac{0.8}{2}[/tex] = 0.4in
So, volume = [tex]\frac{4}{3} x 3.142 x 0.4^{3}[/tex] = 0.27in³
Volume of the rectangular prism = l x w x h
where l is the length
w is the width
h is the height
So the volume is 4 x 3 x 7.5 = 90in³
The number of malt balls that can be packed here = [tex]\frac{90}{0.27}[/tex] = 333 malt balls
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 117 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 162 kilograms. How much does each type of box weigh?
Answer:297
Step-by-step explanation:
What score would you need to get on the fifth test to have an average of 90% or higher if your first four scores were 87%, 82%, 91%, and 95%
Answer: So you will need to score 95% on the fifth test to have an average of 90%
9 1/6 multiplied 1 1/11.
Answer: 10
Step-by-step explanation:
9 1/6 x 1 1/11
55/6 x 12/11
cross reduce
5/1 x 2/1
10
Question
Melissa is starting an IT business, and she wants to calculate her cost function. She estimates that to start the business she
will need to spend $2,000 on equipment, $1,000 on advertising, and $5 for every computer that she services. If x is the
number of computers that Melissa services, write down the cost function C(x) and use it to calculate the total cost if Melissa
services 50 computers.
Provide your answer below:
Answer:$3250
Step-by-step explanation:
[tex] \displaystyle \rm \int_{0}^{ \infty } \sum_{n = 0}^{ \infty } \frac{( - 1 {)}^{n} \: {x}^{2n + 1} }{ {2}^{n} \cdot n!} \sum_{n = 0}^{ \infty } \frac{ {x}^{2n} \: dx }{ {2}^{2n} \cdot(n! {)}^{2} } [/tex]
You can check that both series converge for all real x (say, using the ratio test).
Now,
[tex]\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!} \implies x e^{-x^2/2} = \sum_{n=0}^\infty \frac{(-1)^n x^{2n+1}}{2^n n!}[/tex]
and if you have some familiarity with differential equations, you might recognize that the second series represents a Bessel function, namely
[tex]\displaystyle I_0(x) = \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2}[/tex]
but we won't bother making use of this.
In the integral, we interchange the integral with the sum
[tex]\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac1{2^{2n} (n!)^2} \int_0^\infty x^{2n+1} e^{-x^2/2} \, dx[/tex]
and consider the sequence of integrals,
[tex]J_n = \displaystyle \int_0^\infty x^{2n} x e^{-x^2/2} \, dx[/tex]
Integrating by parts with
[tex]u = x^{2n} \implies du = 2n x^{2n-1} \, dx[/tex]
[tex]dv = x e^{-x^2/2} \, dx \implies v = -e^{-x^2/2}[/tex]
Then the contribution of uv is 0, so
[tex]J_n = \displaystyle 2n \int_0^\infty x^{2(n-1)} x e^{-x^2/2} \, dx = 2n J_{n-1}[/tex]
We have
[tex]J_0 = \displaystyle \int_0^\infty x e^{-x^2/2} \, dx = 1[/tex]
so that
[tex]J_n = 2n J_{n-1} = 2n (2(n-1)) J_{n-2} = 2n (2(n-1)) (2(n-2)) J_{n-3}[/tex]
and so on; after k steps,
[tex]J_n = 2n (2(n-1)) (2(n-2)) \cdots (2(n-(k-1))) J_{n-k}[/tex]
so that when n = k,
[tex]J_n = 2n (2(n-1)) (2(n-2)) \cdots 2 J_0 = 2^n n![/tex]
Then the integral we want is
[tex]\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac{2^n n!}{2^{2n} (n!)^2} = \sum_{n=0}^\infty \frac1{2^n n!}[/tex]
and knowing the series expansion for [tex]e^x[/tex], it follows that the integral has a value of [tex]e^{1/2} = \boxed{\sqrt{e}}[/tex]