Answer:
Graphs can only provide a limited view of the data.
b. False
Step-by-step explanation:
On the contrary, graphs present better views of the presented data. Mathematically, graphs are methods of visually illustrating data relationships. The main purpose of using a graph is to present complicated data that show trends or relationships between variables. It has been an important tool for presenting data in a visual and easy-to-understand format, without using too much description.
The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?
Answer:
m = 8Step-by-step explanation:
Given the expression:
x³(x−y)⁷−y³(x−y)⁷
This can also be written as (x³-y³)(x-y)⁷
(x³-y³)(x-y)⁷= (x-y)⁷ (x³-y³)
Expand (x³-y³)
x³-y³ = (x-y)(x²+xy+y²)
Substitute back into the original expression:
(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)
Comparing the result with (x−y)^m(x^2+y^2+nxy).
(x-y)⁸ = (x-y)^m
m = 8
Also:
nxy = xy
n = xy/xy
n = 1
Hence the value of m is 8
The value of m is 8
The expression is given as:
[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]
Factor out (x - y)^7 in the above expression
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]
Expand out (x^3 - y^3) as the difference of two cubes
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]
Combine the common factors
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]
Rewrite the expression as:
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]
The expression format is given as:
[tex](x-y)^m(x^2+y2^+nxy)[/tex]
So, we have:
[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]
By comparison, we have:
[tex]m = 8[/tex]
Hence, the value of m is 8
Read more about expressions at:
https://brainly.com/question/4344214
Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?
Answer:
$28.84
Step-by-step explanation:
That's for the first one that I found, the two other problems I don't know yet.
The nth term of a sequence is n²+1. What is the 9th term?
Armenia is baking 24 batches of brownies for the bake sale. Each batch of
brownies takes 2 4/5cups of flour. What is a reasonable estimate of the
amount of flour that she will need to bake all twenty-four batches of
brownies?
A.96
B.72
C.60
D.48
Answer:
72
Step-by-step explanation:
2x24=48
4/5≈1
1x24=72
so its 72
Lisa bought 16 1/2 pounds of sand for her
child’s sandbox she was building. What is
this in ounces?
Hw help please ASAP
+10PTS
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Remember that:
[tex]Slope \: = \frac{rise}{run} [/tex]
Answer:
½x+3
Step-by-step explanation:
slope = rise/run plus y-intercept
Which is the fraction for 0.21?
Answer:
21/100
Step-by-step explanation:
Can someone please help me on this? I've been trying for hours and can't seem to find the answer.
Answer: The area of the shape is 90 ft.
Step-by-step explanation:
Draw a line so the shape looks like a triangle and small rectangle.
First, we have to find the area of the rectangle.
Area of rectangle: length x width
The rectangle has a length of 6 ft and a width of 3 ft.
Area of rectangle: 6 x 3 = 18 ft
Now to find the area of the triangle.
Area of triangle: 1/2 x base x height
The triangle's base: 15 - 3 = 12
The triangle's height: 6 + 6 = 12
Area of the triangle: 1/2 x 12 x 12
= 1/2 x 144 = 72ft
To find the area of the entire shape you have to add the area of the rectangle and triangle together.
Area of shape = Area of rectangle + Area of triangle
A of shape = 18 ft + 72 ft
The area of the shape is 90 ft.
Hope that helped!
Giving brainliest 7th grade math HELPPP
Answer:
p(Green and Sedan) = 1/3
Step-by-step explanation:
Total number of outcomes = 6
[Green-Sedan, Green-Sedan, Green-Truck, Purple-Sedan, Purple-Sedan, Purple-Truck]
Possible outcomes = 2
Probability = possible outcomes / total number of outcomes = 2/6 = 1/3
HOPE THIS HELPS YOU
Answer:
5/6= the first one
f a car travels 400 m in 20 s, how fast is it going?
Answer:
20m/s
Step-by-step explanation:
Given, s=400m
t=20s
Required, v=?
v=s/t
=400m/20s
=20m/s
3) When solving a one-step equation, we apply the inverse operation to the value on the _____ of the variable.
Answer:
To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction. Multiplication and division.
Step-by-step explanation:
by it self.
HHELLPPP PLEASW HIRRY I WILL MARK BRAINLIEST
Answer: 1/36
Step-by-step explanation: 18 x 18 = 324
3 x 3 = 9
9/324 = 3/108 = 1/36
Answer:
1/36! good luck! :D
Step-by-step explanation:
HELP PLEASE AND THANKYOU!!!!
Answer:
51.3
Step-by-step explanation:
Formula For Tan: tan (angle) = opposite/adjacent
Opposite = 10
Hypotenuse = 8
tan (x) = opposite/adjacent
tan (y) = 10/8
y = tan⁻¹ (10/8)
y = 51.3401917459099
y = 51.3 (rounded)
Tip: tan⁻¹ is inverse of tan.
Therefore, y = 51.3
Hope this helped! <3
-4 > x - 3 find x in the equation
Answer:
X= -1
Step-by-step explanation:
Which is the simplified form of the expression
2
(2-3)(x+3)(2)
(4-2)(x4)(13)
?
Answer:
x= 5 whole number and 2/15
Step-by-step explanation:
A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?
A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula, V = l · w · h, where V = Volume and l = length, w = width, and h = height. Which of the following situations best models the maximum capacity of the rectangular box shown below? Select all that apply.
V = 250 x2y2 cubic units
V = (10 xy)(10 xy) cubic units
V = (5y)(2x)(10xy)cubic units
V = 100 xy cubic units
V = 100 x2y2 cubic units
Answer:
1 3 4 i think im not fully sure
Step-by-step explanation:
Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?
Step-by-step explanation:
I think 21 dollars is the answer
A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?
Answer:
p( black) = 2/3
Step-by-step explanation:
4 white + 8 black = 12 tiles
P ( black) = number of black / total
= 8 /12
= 2/3
hey any help is appreciated
Answer:
a positive querlashon the lower they studied the lower grade they got
Step-by-step explanation:
the probability of getting less than 3 in a single throw of a dice is
Answer:
There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.
Step-by-step explanation:
hope this helps
PLS ANSWER ASAP AND ILL MARK BRAINLIEST!
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.
18.31 ft3
40.25 ft3
56.52 ft3
60.34 ft3
Answer:
56.52ft³ is the answer hope this helps
Answer:
3rd option hope this helps.
Step-by-step explanation:
What is the combined length of all the buttons longer than 1 inch
Answer:
Where is the problem to solve?
Step-by-step explanation:
Do any of you know this??
Answer:
wouldn't be 70°?
Step-by-step explanation:
30 + 40 = 70
what's the ratio for 3 stars and 7 circles
Answer: 3:7
Step-by-step explanation:
There are 3 stars for every 7 circles, thus the ratio is 3:7.
Answer:
3 : 7.
Step-by-step explanation:
For every 3 stars, there are 7 circles. If 3 stars is written first, you'll need to write 3 first in your answer, and 7 second.
This is what it would look like: 3 : 7
With ratios, you could also write,
3 to 7
or
3 / 7
But 3 : 7 is most common :)
Could you describe the expression 2(3+4) as a product of two factors?
the answer will be 10 just multiply the numbers
j - 2.5 = 93.9
What is the value of j?
Answer:
j = 96.4
Step-by-step explanation:
Step-by-step explanation:
j - 2.5 = 93.9
j=93.9+2.5
j=96.4
what is the solution set of the inequality x+2/2≥-7-x/2
Answer:
[tex]x\geq - \frac{16}{3}[/tex]
Step-by-step explanation:
x +2/2 ≥ -7 - x/2
= x ≥ -16/3 (sign doesn't change since you didn't divide by a negative number).
Ace Carlos
Answer:
[tex]x\geq \frac{-16}{3}[/tex]
Step-by-step explanation:
Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)
Answer:
Step-by-step explanation:
b/c fractions are confusing :D, put them all in 12th to make it easier
4/12, -8/12, -9/12, -5/12, 1 3/12, 1 5/12
now stick them in order
-9/12, -8/12, -5/12 , 4/12 , 1 3/12, 1 5/12
now put them back to reduced form
-3/4, -2/3, -5/12, 1/3 , 1 1/4, 1 5/12
:) better?
A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Hope this helps :)