Which of these are like terms in the following expression:
3x + 7 + 9x + 24y + 2x2
O 7, 24y
0 3x, 9x
O 3x, -9x
O 3x. -9x, 2x2
Answer:
The second one (3x, 9x)
Step-by-step explanation:
Like terms are the terms that either have the same variable or have no variable.
3x and 9x are the like terms in the given expression.
The given expression is 3x+7+9x+24y+2x².
What are like terms?Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other
In the expression 3x+7+9x+24y+2x²
Terms 3x and 9x have the same variables and their exponents also same.
So, 3x and 9x are like terms
Therefore, 3x and 9x are the like terms in the given expression.
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A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)
Using the Fundamental Counting Theorem, it is found that the expression that gives the number of different 6 -character codes that are possible is:
F. 1(1)(10)(10)(10) (10)
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].Hence:
[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]
And option F is correct.
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Suppose that there were 226977 visitors to your website over a period of a week, and of those 56330 clicked on the button to get more information about your product. If you wanted to model the probability distribution of the number of visitors who clicked the button, you would typically estimate the mean of the distribution to be equal to the observed number of visitors who clicked, that is the sample mean: 56330.
Required:
Under this setup, what is the variance of this distribution?
Answer:
The variance of this distribution is 42353.2
Step-by-step explanation:
For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
In this question:
226977 visitors, so [tex]n = 226977[/tex]
56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]
Then
[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]
The variance of this distribution is 42353.2
During a 5-year period, 24% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.
Answer: my 8 year old step sis likes me
Step-by-step explanation: plz help
How much more than 1/4 cup is 3/4 cup?
Answer:
half a cup
Step-by-step explanation:
75% minus 25% is 50% aka 1 half
Which questions are True or False?
1.) Supplementary angles always add up to 90°.
2.) Complementary angles always add up to 180°.
3.) Vertical angles always have the same measure.
4.) ∠x is complementary to the 34°angle.
5.) ∠z is vertical to the 112°angle.
6.) ∠y is a linear pair with the 146°angle.
Answer:
1) false
2) false
3) true
4)false
5) true
6) true
Find the area of the following shape:
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?
2. Find the sum of -8x^2+3 and -9x^2+3x-3−
3.Simplify the expression to a polynomial in standard form:
(-3x-5)(-x^2+x-5)
Answer:
See solutions below
Step-by-step explanation:
1) Total amount of gallons = 14 gallons
If she uses up 0.75 gallons of gas each hour then;
1 hour = 0.75gallons
after driving 6 hours, amount of gallons used will be;
6 hours = x
Divide both expressions
1/6 = 0.75/x
x = 6 * 0.75
x = 4.5gallons
Amount of gas left = 14 - 4.5 = 9.5 gallons of gas
Hence 9.5 gallons of gas will be left after 6 hrs
Similarly;
1 hour = 0.75gallons
after driving t hours, amount of gallons used will be;
t hours = x
x = 0.75t
Amount of gas left after t hours = (14 - 0.75t) gallons of gas
2) We are to find the sum of -8x^2+3 and -9x^2+3x-3
-8x^2+3 + (-9x^2+3x-3)
= 8x^2+3 -9x^2+3x-3
Collect like terms
= 8x^2 -9x^2+3x + 3-3
= -x^2 + 3x
Hence the sum is -x²+3x
3) Expressing in standard form;
(-3x-5)(-x^2+x-5)
Expand
= 3x³-3x²+15x+5x²-5x+25
Collect like terms
= 3x³-3x²+5x²+15x-5x+25
= 3x³+2x² + 10x + 25
Hence the product in polynomial form is 3x³+2x² + 10x + 25
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
I need help on this plz
Answer:
None
Step-by-step explanation:
A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will the pave in one hour
HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G
Answer:
M₁=Fr²/GM₂
Step-by-step explanation:
The original formula is
F = GM₁M₂/r²
Rearrange it so M₁ is isolated:
Fr²=GM₁M₂
M₁=Fr²/GM₂
What is 15 didvide 7.35
Answer:
2.04081632653
Step-by-step explanation:
If you wanted to round it, it would be 2 because the 4 isn't enough to bump it up. Hope this helped you!
Answer:
2.04
Step-by-step explanation:
Katia has 7 chairs she wants to paint. If it takes 2/3 can of spray
paint to paint a chair, how many cans of spray paint does Katia
need?
Answer:
4 2/3
Step-by-step explanation: You would do 7 × 2/3, but you cannot do that so you have to make the 7, 7/1 and than it is 7/1 × 2/37/1 × 2/3 =First step: Multiply the top: 7 × 2 = 14Second step: Multiply bottom: 1 × 3 = 3Answer: 14/3 and than you simplify to 4 2/3HELPPPPP GUYS I NEED IT AND IM NOT GOOD AT MATH!!
Answer:
-21
Step-by-step explanation:
Answer:
Option b-21
As coefficient is the number before variables
and here the number before is -21
IF U KNOW IT
Kai buys 6 fiction books and 4 nonfiction books.
What is the ratio of fiction books to nonfiction books?
2 : 3
2 : 10
3 : 10
3 : 2
Answer: 3:2
Step-by-step explanation:
This is correct because 3:2 is equal to 6:4. 3:2 is 6:4 divided by 2.
Hope this helps ;)
Answer:
3:2
Step-by-step explanation:
Fiction to non-fiction.
6:4
Now, simplify. Divide both by 2.
6/2=3
4/4=2
3:2 is the ratio.
When completely factored, 8x + 2y - 4
Answer:...
-4+8x+2xy
Step-by-step explanation:
what is the greatest conman factor of -32x3+41x4y
Answer:
x^3
Step-by-step explanation:
Please round to the nearest 100th place
Answer:
its 14.3, you first have to multiply each side and just work down
Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
Which statement correctly describes the function on a given interval?
A. The function is decreasing and nonlinear between x= -7 and x= -3
B. The function is increasing and nonlinear between x= -3 and x= -1
C. The function is decreasing and linear between x= -1 and x= 1
D. The function is increasing and linear between x= 1 and x= 3
Answer:B !!!
Step-by-step explanation:
Option D is correct, the function is increasing and linear between x= 1 and x= 3.
What is a function?A relation is a function if it has only One y-value for each x-value.
By observing the graph we say that the function is increasing and linear between x= 1 and x= 3
For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.
Linear functions are those whose graph is a straight line
Hence, option D is correct, the function is increasing and linear between x= 1 and x= 3.
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Which two expressions are equivalent
Answer:
A
Step-by-step explanation:
A) the only answer in which the distributive property is used correctly.
Write 3.148 in word form
Answer:
Three thousand, one hundred, forty eight
Step-by-step explanation:
The 3.148 refers to Three thousand, one hundred, forty eight in word.
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
WE need to find 3.148 in words.
or
It can be written as expression;
3.000+.100+.040+.008
Therefore, it means Three thousand, one hundred, forty eight
The 3.148 refers to Three thousand, one hundred, forty eight in word.
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The points (2, -12) and (4, r) lie on a line with slope 4. Find the missing coordinate r.
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event
Answer:
Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability
Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability
Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability
Step-by-step explanation:
The probability of the given events is:
[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]According to the question,
Number of outcomes = 8
Event A:
Having the alternative even and odd numbers.
→ [tex](EOE, OEO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event B:
No even number and last two rolls.
→ [tex](EOO,OOO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event C:
Exactly on odd number:
→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]
Thus the above approach is correct.
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Carlos got 130 pieces of candy on Halloween and 39 of them were lollipops what percent of the pieces of candy were lollipops
Give three examples of equations where there would be no solution
Answer:
1) 2x+1 = 2x-4
2) 6x+2=3(2x+1)
3) -4x -5=-2(2x)+2
Step-by-step explanation:
We need to give three examples of equations where there would be no solution.
First we will define equation with no solution.
If solving an equation you get the result as 3=5 but 3 is not equal to 5, so the equation has no solution.
Examples of equations where there would be no solution
1) 2x+1 = 2x-4
2x-2x=-4-1
0=-1 ( false)
So, the equation has no solution.
2) 6x+2=3(2x+1)
6x+2=6x+1
6x-6x=1-2
0=-2 (false)
So, the equation has no solution.
3) -4x -5=-2(2x)+2
-4x-5=-4x+2
-4x+4x=2+5
0=7 (false)
So, the equation has no solution.
please solve pic attached below. I will make brainless
Answer:
hgfc
Step-by-step explanation:
nbc
For the pair of similar triangles, find the value of x.
The value of x is .
Answer:
18.
Explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The value of 'x' in two similar triangles is 6.46.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in similar triangles the ratio of their corresponding sides are equal.
Therefore, The equation to determine the value of 'x' should be,
(2x - 6)/20 = 36/(x + 6).
36(2x - 6) = 20(x + 6).
72x - 216 = 20x + 120.
72x - 20x = 120 + 216.
52x = 336.
x = 336/52.
x = 6.46.
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PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=50
Step-by-step explanation:
50 + 2x =150
x=50
or
50+30+2x=180
x=50
