Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Question
Which algebraic expression has like terms?
[tex]9n^3 - 2n + 3 - 4n^2[/tex]
[tex]7n^3 + 3n - 3 - 6n^2[/tex]
[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
Answer:
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
Step-by-step explanation:
Given:
The above expressions
Required:
Expressions with like terms
Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;
Like terms are dependent on the exponents and are independent on the sign of each terms.
Listing out the exponents of each options;
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
The exponents of n are 3 1 3 2
Rearrange: 1 2 3 3
D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
The exponents of n are 3 4 1 2
Rearrange: 1 2 3 4
From the list of exponents above, only A and B are equal;
Hence, the following expressions have the like terms
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...
Answer:
158 degrees
Step-by-step explanation:
Step 1:
Let Angle CDE =y
Since Angle BCD = 2 X angle CDE
Angle BCD = 2y
Step 2
Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.
By these properties of Isosceles Trapezoids
Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angleTherefore:
[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]
123+2y+y=360
3y=360-123
3y=237
y=79 degrees
Therefore:
[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]
What is a straight line from the center to the circumference of a circle
Answer:
From the CENTER, it would be radius of the circle
Step-by-step explanation:
Stretching across the entire circle is diameter, while from the center is radius.
what is the range of the function shown in the graph?
a. -♾ < y < 5
b. -♾ < y < ♾
c. -♾ < y < -5
d. -5 < y < ♾
Answer:
-♾ < y < 5
Step-by-step explanation:
Range is set of all possible values for Y.
To know the range of value from graph one needs to see points on axis beyond which the curve does not move.
Alternatively, we can say range is the value of y which is limiting the movement of curve beyond those limits.
Here we can see that upper point on curve is constrained at midpoint of 4 and 6 which is point 5.
Thus, upper limit is 5
which can be written as
y<5
___________________________________
For lower limit , it
Since , the at lower end curve is extended till the end of graph and the end of graph represents infinity. Also, this infinity is on the negative side of y .
Then lower end is -♾ .
which can be written as
y> -♾
Also we can see that graph is continuous one as there is no break in the curve between 5 and -♾.
Thus range of curve is from minus infinity to 5
which can be expressed as
-♾ < y < 5
Plis help I need help
Answer:
meee tooo
Step-by-step explanation:
helpplppppppp
Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.
9) All points with a y-coordinate of 0 will always lie on the x axis.
Step-by-step explanation:
Please help!
Suppose S and T are mutually exclusive events, P(S) = 30%, and P(T) = 24%. Find P(S or T).
A) 6%
B) 54%
C) 720%
D) 7.2%
Answer: 54%
Step-by-step explanation:
In probability and logic theory, two events are said to be mutually exclusive or disjoint when both events cannot occur or happen at the same time.
A clear example of mutually exclusive event is the set of outcomes of a single toss of a coin which can either result in heads or tails, but can not be both.
P(S) = 30%, and P(T) = 24%
P(S or T) = P(S) or P(T) = 30% + 24%
= 54%
What does 81% 90% 80% and 34% average into 20 points
Answer:
71.25%.
Step-by-step explanation:
To find the average, we can simply add up the percentages and divide by how many there are.
We can do this by:
[tex]\frac{81 + 90 + 80 + 34}{4}[/tex] = 71.25%
Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?
Answer: 0.22 plates
Step-by-step explanation:
Given that The recipe calls for 23 cup of cheese for each plate of nachos
1 plate = 23 cups
X plate = 5 cups
Cross multiply
5 = 23x
Make the x the subject of formula
X = 5/23
X = 0.22
Or 5/23 plate
y = 5x + 2
4x – y = 0
Is (2, 12) a solution of the system?
A.yes
B.no
Answer: No
Step-by-step explanation:
Substitute (2,12) into the second equation.
4(2) - (12) = 0
8 - 12 = 0
-4 = 0
This statement is false.
ABC is a straight angle.which equation can be used to find the measure of the unknown angle?
Answer:
Straight angles are all 180 degrees, so it must be an equation that equals 180. I hope that this helps! be saffffeee!
Answer:
140 x 180
Step-by-step explanation:
Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?
Answer:
18 golf balls in all, 1/18 is the answer
Step-by-step explanation:
Answer:
1. 18
2. {blue, magenta, purple}
3. P(blue) = 1/2
P(magenta) = 7/18
P(purple) = 1/9
Step-by-step explanation:
Total balls:
9 + 7 + 2 = 18
Sample space: all possible outcomes
{blue, magenta, purple}
P(blue) = 9/18 = 1/2
P(magenta) = 7/18
P(purple) = 2/18 = 1/9
eric bought 4 pairs of sports socks for $9. How many pairs of socks can he buy for $13.50.
Answer:
the answer is 6 pair of socks
Step-by-step explanation:
because one pair of socks is 2.25
so 6×2.25 is 13.50
If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2
Answer :
A. 368 ft²
Step by step
[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]
Answer:
386 ft :)
Step-by-step explanation:
what is 10 + x = 24?
Answer:
x=14
Step-by-step explanation:
subtract 10 on both sides
24-10=14
x=14
Answer:
x = 14
Step-by-step explanation:
10 + x = 24
-10
x=14
( You subtract 10 from both sides. 24-10 =14. Therefore x =14
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
Answer:
infinite solutions
Step-by-step explanation:
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
Combine like terms
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
15(12x2+x+1) = 15(12x2+x+1)
Divide by 15
(12x2+x+1) = (12x2+x+1)
Since they are the same
x can be any real value
Answer:
All real values of x
Step-by-step explanation:
3(12x²+x+1)+12(12x²+x+1)=15(12x²+x+1)
(12x² + x + 1)(3+12) = 15(12x²+x+1)
15(12x²+x+1) = 15(12x²+x+1)
Since both sides are identical, all real values of x will satisfy the equation
What is the circumstance and area of a circle with the diameter of 14 inches
Answer:
Area≈153.94in²
This diagram shows a block of stainless steel. The mass of the block is 930g.
Calculate the density of stainless steel.
Giving away brainliest! PLEASE HELP :)
Answer:
the answer is 7.75 g/cm3
Step-by-step explanation:
hope this helps
The density of the given block of stainless steel is 7.75 g/cubic cm. The value is obtained by the ratio of its mass to its volume.
What is the density of the cuboid?The cuboid has rectangular faces with length(l), width(w), and height(h). So, the density of the material which is required to make the cuboid is calculated as follows:
Density = mass/volume
Where the volume of the cuboid is the product of length, width, and height.
I.e., Density = mass/ (l × w × h)
Calculation:The given block has
length(l) = 8cm
width(w) = 5cm
height(h) = 3cm
The mass of the block is given as 930g
So, the density of the stainless steel is
Density = 930g/(8 × 5 × 3) cm³
= 930/120 (g/cm³)
= 7.75 g/cm³
Therefore, the density of the block is 7.75 g/cubic cm.
Learn more about the density here:
https://brainly.com/question/21087073
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He Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel750≥75 + 125h What value of h does NOT make the inequality true?
Answer:
h<0
Step-by-step explanation:
75+125h ≤ 750
h≤ 8.333
for negative values of h the inequality will not hold true
Area of a Circle
10 POINTS+BRAINLIEST
Answer:
Circle 1 = 24 pi in² = 452.2 in²
Circle 2 = 706.5 in²
Circle 3 = 271.6 in²
Step-by-step explanation:
In order to find the Diameter of a circle, you have to multiply the radius by 2. According to circle 1, 12in (radius) multiplied by 2 gets you 24 pi in².
In order to find the area, you multiply the radius² and then multiply it by pi or 3.14.
Is green the circumference or the diameter??? Had a little bit of confusion in that part, but I gave you the area only for Circle 2 and 3. For circle 1 I found the diameter (24 pi in²) and the area.
what is the radius and diameter of a 14cm circle
Answer:
Radius= 7cm
Diameter= 14cm
Step-by-step explanation:
Hope it Helped!!
Find the indicated sum for each geometric series.
S6 for 2 + 1 + 12 + 14
Answer:435
Step-by-step explanation:
what is 2 + 2? and how does that work
Answer:
4
Step-by-step explanation:
According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."
Over a one week, period, each person in the Taylor family eats 3/4 boxes of cereal. There are 5 people in the family. How many boxes of cereal does the Taylor family eat in one week?
Answer:D
between 3 and 4
I got it right in khan!
Step-by-step explanation:
The required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
As of the given conditions,
1 person can eat 3/4 of box in one week
There are 5 persons in the family,
Total box of cereal that can be eaten = 5(3/4)
= 15/4
= 3 3/4
Thus, the required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.
Learn more about simplification here:
https://brainly.com/question/12501526
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Misaki’s fish tank is half full of water because she is cleaning it. The tank is a right rectangular prism with a length of 8 inches, a width of 6 inches, and a height of 6 inches.
A prism has a length of 8 inches, width of 6 inches, and height of 6 inches.
What is the volume of water in the tank while Misaki is cleaning it?
O 10 Inches cubed
O 36 Inches cubed
O 144 Inches cubed
O 288 Inches cubed
Answer:
144 Inches cubed
Step-by-step explanation:
8 × 6 × 6 = 288.
288 / 2 = 144.
you multiply to get the original volume then divide by 2 because the tank is only half full.
Answer:
d
Step-by-step explanation:
i said
How do you do this and what’s the solution?
Answer:
Step-by-step explanation
diameter makes a right angle at the circumference of the circle.
f=90°
Help please someone thanks
Answer:
16
Step-by-step explanation:
The run is the amount in the x direction
-8 to 8 = 16 units
(8- - 8) = 8+8 = 16
The run is 16
what is 512.3÷ 0.25
Answer:
2049.2
Step-by-step explanation:
512.3÷ 0.25= 2049.2
You can use a calculator... (or long division.)
Answer:
2,049.2
Step-by-step explanation:
Hope this helped!
o(*^▽^*)┛
What is the area of this irregular figure?
A figure can be broken into 2 rectangles. One rectangle has a base of 16 centimeters and height of 8 centimeters. The other rectangle has a base of 8 centimeters and height of 8 centimeters.
128 Centimeters squared
192 Centimeters squared
256 Centimeters squared
512 Centimeters squared
Answer:
192cm²
Step-by-step explanation:
If you cut the shape into 2 and you do 8×8 which is 64cm²
Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²
Answer:
here's the answer and proof in the image below
Step-by-step explanation:
How many triangles can be drawn with one 90 degree angle, a 70 degree angle, and an included side measuring 3 inches?
I suppose as many as we care to, but they're all congruent. We're given two angles and an included side. ASA, angle side angle, is a theorem that yields congruent triangles.
Answer: 1
Answer: you can draw as many as you want, but they will all be congruent. So actually only one. It's the ASA theorem to prove congruence.
Step-by-step explanation:
Can i get some help pwease
Answer:
Hey!
Your answer is Y=-5x-6
Step-by-step explanation:
Using the formula y=mx+c...
m=slope c=y-intercept
The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)
The m is the slope do we write the slope value (-5)
Which forms y=-5x-6
HOPE THIS HELPS!!
