The coefficient in this question represents the cost for the gigabytes over her plan.
What is the coefficient ?A coefficient is a number that is multiplied by a variable. In this question, the coefficient is 10 and the variable is x. 10 here represents the the cost for the gigabytes over her plan.
10x represents the variable cost. Variable cost is the cost that increases with the number of gigabyte used. Fixed cost is the cost that does not change with the gigabyte used. It remains constant regardless of the level of gigabyte used. Total cost is the sum of the fixed cost and the variable cost. The fixed cost is the cost of her normal plan.
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Please help asap!!!!!! question 6(multiple choice worth 5 points) (order of operations mc) harry needs wood pieces to complete a project in woodshop class. he needs four pieces of wood that have a length of two and three fourths feet and five pieces of wood that are one and two thirds feet. what is the total amount of wood that harry will need for the project? four and four sevenths feet nineteen and one third feet four and two fifths feet one and two thirds feet
The total amount of that Harry will need for the project is nineteen and one third feet and Hence the option B is correct.
Addition of Fraction
Wood 1:
Length of each = 2 3/4 feet
Number of pieces = 4
Total = Length of each × Number of pieces
= 2 3/4 × 4
= 11/4 × 4
= 11 meters
Wood 2:
Length of each = 1 2/3 feet
Number of pieces = 5
Total = Length of each × Number of pieces
= 5/3 ×5
= 25/3 meters
Total amount of wood needed for the project = 11meters + 25/3 meters
= 11 +25/3
= (33+25)/3
= 58/3
=19 1/3 meters
Therefore, the total amount of wood that Harry will need for the project is nineteen and one third feet
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Show that solving the equation 3 ²x=4 by taking the common logarithm of each side is equivalent to solving it by taking the logarithm with base 3 of each side.
The solving of equation 3²x=4 in both the given cases gives the answer x = 0.631.
What exactly is an equation?A mathematical statement composed of two representations joined by an equal sign is known as an equation.3x - 5 = 16 is an example of an equation.We obtain the value for the variable x as x = 7 after solving this equation.So,
(1) Common logarithm:
2x log 3 = log 4, or 2x(0.47712) = 0.60206When we solve for x, we get 0.95424x = 0.60206, and x = 0.60206/0.95424.x = 0.631(2) Logarithm with base 3:
2x (log to the base 3 of 3) = (log to the base 3 of 4)This can be reduced to 2x(1) = 2x = (log 4)/log 3 = 1.262.Divide the result by 2 to get x = 0.631Therefore, the solving of equation 3²x=4 in both the given cases gives the answer x = 0.631.
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find the least common denominator of 8/x^2-3x-40 and -2/x^2-8x
The least common denominator is (x+5)(x-8).
identify the denominator of [tex]\frac{8}{x^2 -3x -40}[/tex] , [tex]\frac{-2}{x^2 -8x}[/tex]
::[tex]x^2 -3x -40[/tex] , [tex]x^2-8x[/tex]
Find the least common multiple of :[tex]x^2 -3x -40[/tex] , [tex]x^2-8x[/tex]
x(x+5)(x-8)
In arithmetic and number theory, the smallest amount common multiple, lowest integer , or smallest integer of two integers a and b, usually denoted by least common multiple(a, b), is that the smallest positive integer that is divisible by both a and b.Since division of integers by zero is undefined, this definition has meaning as long as a and b are both different from zero. However, some authors define least common multiple(a,0) as 0 for all a, since 0 is that the only common multiple of a and 0.
The least common multiple is that the "least common Denominator" (lcd) that can be used before fractions can be added, subtracted or compared.
The least common multiple of more than two integers a, b, c, . . . , usually denoted by least common multiple(a, b, c, . . .), is additionally well defined: It is the smallest positive integer that is divisible by each of a, b, c, . . .
A multiple of variety is the product of that number and an integer. for instance , 10 may be a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and a couple of . Because 10 is that the smallest positive integer that is divisible by both 5 and 2, it's the least common multipleof 5 and 2.
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All of the following expressions have a value of 3 except _____. -3(4 - 5) |-2| + 1(3 - 2) -8 ÷ -4 + 1 6 - 5 · 3
All the expressions have a value of 3 except the expression 6 - 5.3.
What is an expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
The math operation can be addition, subtraction, multiplication, or division.
We have,
-3( 4 - 5 )
= -3 x -1
[minus x minus = positive]
= 3
|-2| + 1 ( 3 - 2)
The absolute value is always positive.
= 2 + 1 x 1
= 2 + 1
= 3
-8 ÷ -4 + 1
Minus gets canceled.
= -8/-4 + 1
= 2 + 1
= 3
6 - 5. 3
= 6 - 15
= -9
Thus all the expressions have a value of 3 except the expression
6 - 5.3.
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Got a math problem-
3(x-1)+(x-1)(x+1)=
Answer:
(x-1)(x+1+3)=(x-1)(x+4)
What is (11-3) divided by 2+1 step by step
Answer:
8.5
Step-by-step explanation:
11-3/2-1
11-1.5-1
9.5-1
8.5
Set D is the set of positive two-digit even numbers less than 25 that do not contain the digit 0.
The required set of positive two-digit even numbers less than 25 that do not contain the digit 0 is 12,14,16,18,22,24.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
Set D is the set of positive two-digit even numbers less than 25 that do not contain the digit 0.
According to given question we have
2-digit numbers are the numbers that have two digits and they start from the number 10 and end on the number 99.
Starting at 12 going up the two digit numbers even numbers less than 25 that do not contain the digit 0.
12,14,16,18,22,24
Therefore, the required set of positive two-digit even numbers less than 25 that do not contain the digit 0 is 12,14,16,18,22,24.
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wich of the following has a value that is less than zero?
-7² = -49
Given options are as follows -
a. (-6)^2
b. (1/3)^2
c. 0.5^2
d. -7^2
by solving 1 option we get
(-6)×(-6)
= 36
we get a positive value
because we know that (-)×(-) = +
so this option is not less than zero
again by solving 2 option we get
1/3^2
1/3× 1/3
= 1/9
it is also a positive value
because we know that (+)×(+) = +
so this option is not less than zero
Further by solving 3 option we get
(0.5)²
(0.5)×(0.5)
= 0.25
again it is also a positive value
so this option is not less than zero
but for the option 4
-(7)²
= -49
which is a negative value .
A negative number is any number that is less than zero
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Factorize d squared - d + 12
Pls help quick
Answer:
d=1, 1+12=13 Variable can be a number or any number .
revealing and comparing properties of functions
Solution :
Properties of Functions:
Definition of a Function: A function is a rule or formula that associates each element in the set X (an input) to exactly one and only one element in the set Y (the output). Different elements in X can have the same output, and not every element in Y has to be an output.
Definition of the Domain of a Function: The set of all possible inputs of a function is defined as the domain. The domain of a real-valued function defined by a formula for y in terms of x will be the set of all x input-values that result in a real y output-value unless the domain of the function is further restricted.
Definition of the Range of a Function: The set of all possible outputs of a function is defined as the range. The range of a real-valued function defined by a formula for y in terms of x will be the set of all y output-values that result from the x input-values in the domain.
Function Notation: Given that f(x) is given by some formula containing x, f(B) will be the same formula with each x replaced by B.
Linear Function Definition: If a function may be written in the form f(x) = mx + b where x is the independent variables and m and b are constants, then f(x) represents a linear function. The variable m is defined as the slope and the point (0, b) represents the y-intercept. An equation in this form is known to be in Slope-Intercept Form.
Linear Function Slope Definition: Given that f(x) = mx + b, then m is defined as the slope where:
for any two points (x1, y1) and (x2, y2) on the line. Graphically, the slope represents the change in y with respect to x on the graph of the line.
Linear Functions of Parallel Lines If two linear functions are given by f(x) = m1x + b and g(x) = m2x + b, and m1 = m2, then the graphs of f(x) and g(x) will consist of two lines that are parallel to each other.
Linear Functions of Perpendicular Lines If two linear functions are given by f(x) = m1x + b and g(x) = m2x + b, and m1 = -1/m2, then the graphs of f(x) and g(x) will consist of two lines that are parallel to each other.
Graphs of Even Functions Given a function f(x), if f(c) = f(-c) for all c in the domain, then f(x) is an even function and its graph will have symmetry with respect to the y-axis.
Graphs of Odd Functions Given a function f(x), if f(c) = -f(-c) for all c in the domain, then f(x) is called an odd function and its graph will have symmetry with respect to the origin. Symmetry with respect to the origin implies that a 180-degree rotation of the graph about (0,0) results in an identical graph.
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5n – 6 > 8n – 3n solve please
The given equation 5n – 6 > 8n – 3n does not satisfy the inequality conditions.
What is referred as inequality?In mathematics, an inequality is a connection between two expressions as well as values that aren't equal to each other. Inequality results from a lack of balance.a statement of an order relationship among two numbers or algebraic expressions (greater than, greater than or comparable to, less than, or less than or equal to).The given inequality is;
5n – 6 > 8n – 3n
Ad 3n on the both side of inequality.
5n – 6 + 3n > 8n – 3n + 3n
Now, subtract the variable part,
8n - 6 > 8n
Subtract 8n both side.
8n - 6 - 8n > 8n - 8n
0 - 6 > 0
-6 > 0
But, -6 not not greater than 0.
Thus, the inequality is not valid.
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Hi guys, I really need help with these I need them in 20 mins! Please help! I will give brainliest and 20 pts for the best answer! Please be quick! I think there are 3 or more questions. Thx so much guys!
For the relations in this problem, we have that:
1.
The relation is not a function.The domain is {10, 11}.The range is {20, 30, 50}.2.
Domain: [-2, 0).Range: [0, 2).The relation is a function.3.
Domain: [-2, 2].Range: [-2,2].The relation is not a function.When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output.
For a point in the format (x,y), we have that:
x is the input.y is the output.The meaning is that the input x is mapped to the output y.When does a relation graphed represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input of the function.The range of a function is the set that contains all the values of the output of the function.In a graph, the domain and the range are found as follows:
The domain is given by the values of x, present in the horizontal axis of the graph.The range is given by the values of y, present in the vertical axis of the graph.For the first relation, we have that input 10 is mapped to outputs 20 and 50, hence:
The relation is not a function.The domain is {10, 11}.The range is {20, 30, 50}.For the second relation, we have a graph with no vertically aligned points, hence:
Domain: [-2, 0).Range: [0, 2).The relation is a function.For the third relation, we have a graph with vertically aligned points, hence:
Domain: [-2, 2].Range: [-2,2].The relation is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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PLEASE HELP THIS IS URGENT
Answer:
Javier gets to 1000 first in 23 weeks
Step-by-step explanation:
Let J = Javier
Let S = Shane.
S = 640 + 15 every week.
J = 425 +25 every week. Make a time chart.
640 (week 0), 655 (week 1), 670 (week 2), 685 (week 3), 700 (week 4), 715 (week 5), 730 (week 6), 730 (week 7), 745 (week 8), 760 (week 9), 775 (week 10), 790 (week 11), 805 (week 12), 820 (week 13), 835 (week 14), 835 (week 15), 850 (week 16), 865 (week 17), 880 (week 18), 895 (week 19), 910 (week 20), 925 (week 21), 940 (week 22), 955 (week 23),
425 (week 0), 450 (week 1), 475 (week 2), 500 (week 3), 525 (week 4), 550 (week 5), 575 (week 6), 600 (week 7), 625 (week 8), 650 (week 9), 675 (week 10), 700 (week 11), 725 (week 12), 750 (week 13), 775 (week 14), 800 (week 15), 825 (week 16), 850 (week 17), 875 (week 18), 900 (week 19), 925 (week 20), 950 (week 21), 975 (week 22), 1000 (week 23)
Find the inverse of each function. Is the inverse a function? f(x)=2/3 x-3
The inverse for the function f (x) = 2 / 3 x - 3 will be f ⁻¹ (x) = 3 / 2 x + 9 / 2.
We are given the function:
f (x) = 2 / 3 x - 3
we need to find the inverse of the function.
First we will write the function in the form of x.
y = 2 / 3 x - 3
y + 3 = 2 / 3 x
2 x = 3 y + 9
x = 3 / 2 y + 9 / 2
So, the inverse function will be:
f ⁻¹ (x) = 3 / 2 x + 9 / 2.
Therefore, the inverse for the function f (x) = 2 / 3 x - 3 will be f ⁻¹ (x) = 3 / 2 x + 9 / 2.
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URGE!!!! Como despejar
16-36xcuadrada (16-36x2)
Wha percentage of probability I have to take a pencil of a bag if I have 9 pen 7 pencils and 6 crayons?
The probability of taking out a pencil from the bag having 9 pens, 7 pencils and 6 crayons is 0.32.
We are given that:
We have-
Number of pens = 9
Number of pencils = 7
Number of crayons = 6
Now, the total number of objects in the bag = 9 + 7 + 6
Now, the total number of objects in the bag = 22
We have to find the probability of taking out a pencil from the bag.
P ( taking out a pencil from the bag ) = 7 / 22
P ( taking out a pencil from the bag ) = 0.32
Therefore, we get that, the probability of taking out a pencil from the bag having 9 pens, 7 pencils and 6 crayons is 0.32.
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Can someone please help me? :(
The inequality to represent the last statement that was made by Mai will be t <= 2.
How to illustrate the information?It should be noted that an equation simply means the relationship that can be used to show the relationship among the variables.
It should be noted that the last statement made by Mai is that I think triathlon athletes generally train for no more than 2 hours a day.
Therefore, the inequality to represent this will be t <= 2.
where t = number of hours trained.
This implies that t is less than or equal to 2 hours
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Mai said, "I'm not sure the graph is right. For example, the point is in the shaded region, but it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think triathlon athletes generally train for no more than 2 hours a day."
Write an inequality to represent Mai's last statement.
Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What is the minimum score you would need to be in the top 2%?.
Answer:
88.9294
Step-by-step explanation:
So for this problem we need to convert the top 2% into a z-score, which can be done using a calculator. You also first have to convert top 2% into 98% percentile. In doing so you'll approximately get: [tex]z\approx2.054[/tex]
This z-score just represents how many standard deviations away this is from the mean.
So this means that the minimum score would be represented as: [tex]76.4 + 2.054(6.1)\\88.9294[/tex]
This can be rounded as needed, but this would approximately be the minimum score to be in the top 2%
Suppose x and y vary inversely, and x=8 when y=-7 .
c. What is y when x=2 ?
After the inverse variation y = -28 when x = 2.
What do we mean by inverse variation?A relationship between two variables in which the value of one increases while the value of the other decreases is known as inverse variation.Indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that increasing X causes a decrease in Y and vice versa.So,
Varies inversely denotes: 1/variableThe initial statement is: y ∝ 1/xTo convert to an equation, multiply by k, the variation constant.
y = k × 1/x = k/xTo find k, apply the given condition.
x = 8 when y = -7:
y = k/x ⇒ k = xy = -7 × 8 = -56So, the equation is: y = -56/x
When x = 2 ⇒ y = -56/2 = -28Therefore, y = -28 when x = 2.
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Katie gets a 20% pay rise. Her new wage is £264 per week. What was her wage before
the pay rise?
The wage of Katie before pay rise or the value of old wage is equal to $220.
What is percentage ?
Percentage is calculated by dividing the value by the total value, and then multiplying the result by 100.
It is given that the new wage is $264 as Katie gets a 20% pay rise.
Let's assume the old wage be x.
The new wage can be written as :
x + (20x / 100)
This is equal to $264.
i.e.,
(x + 20x/100) = 264
or
120x/100 = 264
Let's solve this expression to get the value of old wage.
120x = 264 × 100
or
120x = 26400
or
Old wage (x) = $220
Therefore , the wage of Katie before pay rise or the value of old wage is equal to $220.
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How do you write 953,000 in scientific notation?
Answer:
9.53 x 10^5
Step-by-step explanation:
a x 10b
a = 9.53
b = 5
Answer:
9.53
Step-by-step explanation:
math math math math math math
A sailfish can swim at speeds of 31.4 meters per second. How far could it travel in a minute?
Answer:
1884 metres per second
31.4meters x 60 seconds = 1,884 speed
---------
please mark as brainiest
. your customer is looking for new flooring for their kitchen. the room is 14’ x 24’. 4 boxes of flooring will cover 100 sq. ft. how many boxes will be needed to cover the kitchen floor?
The total number of boxes required to cover the kitchen floor is 14.
The dimensions of the kitchen floor are 14' × 24'
⇒Length of the kitchen floor = 14 feet
⇒Width of the kitchen floor= 24 feet
The area of the kitchen floor= Length × Width
⇒ Area = 14 × 24
⇒ Area = 336 sq. ft.
Since, 4 boxes of flooring cover 100 sq. ft.
∴1 box will cover = 100/4 sq. ft.
⇒25 sq. ft.
Now, Number of boxes required to cover the floor of the kitchen will be,
⇒ Area of the floor / Area covered by 1 box of flooring
⇒336/25
⇒ 13.44
∴ The total number of boxes required to cover the kitchen floor is 14 (rounded up from 13.44).
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Find the value of x.
3x = 2 + 31
Answer:
x = 11
Step-by-step explanation:
3x = 2 + 31
To find the value of x, combine like terms
3x= 33
Divide each side by 3
3x/3 = 33/3
x = 11
Find the value of x.
3x = 2 + 31
Answer:-x = 11
Step by step explanation:-=> 3x = 2 + 31
First, add the like terms.
=> 3x = 33
Transfer 3 to RHS
=> x = 33/3
Divide 33 by 3
=> x = 11
3. Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n + 0.1d = 3.65?
A. 5n + d = 365
B. 0.5n + d = 365
C. 5n + 10d =/365
D. 0.05d + 0.1n = 365
The equivalent equation for the given equation is 5n+10d=365. Therefore, option A is the correct answer.
The given equation is 0.05n + 0.1d = 3.65.
What is an equivalent equation?Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Now, multiply by 100 on both sides of the given equation.
That is, 100(0.05n + 0.1d) = 3.65×100
⇒ 0.05n×100+0.1d×100=365
⇒5n+10d=365
The equivalent equation for the given equation is 5n+10d=365. Therefore, option A is the correct answer.
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1. What is the Y intercept of this graph?
2. What is the X intercept of this graph?
3. What is the slope of this line?
4. What Is the equation of this line?
Will give brainliest to whoever can answer all of these correctly
Answer:
1. y-intercept = 5
2. x-intercept = -2.5
3. slope = 2
4. y = 2x + 5
Step-by-step explanation:
Part 1
The y-intercept is the point at which the line crosses the y-axis, so when x=0. From inspection of the given graph, the y-intercept is 5.
Part 2
The x-intercept is the point at which the line crosses the x-axis, so when y=0. From inspection of the given graph, the x-intercept is -2.5.
Part 3
The slope of the line is the measure of its steepness. To find the slope of a line, substitute two points on the line into the slope formula.
Two points on the line are the y-intercept and the x-intercept:
(x₁, y₁) = (0, 5)(x₂, y₂) = (-2.5, 0)[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-5}{-2.5-0}=\dfrac{-5}{-2.5}=2[/tex]
Therefore, the slope of the line is 2.
Part 4
Slope-intercept form of a linear equation:
[tex]\boxed{y=mx+b}[/tex]
Where:
m is the slope.b is the y-intercept.Substitute the found slope and y-intercept from Part 3 and Part 1 into the formula to create an equation for the line:
[tex]y=2x+5[/tex]
What's the difference of 5x-4 and 2x+4?
Solving the Question:
To find the difference of two expressions, we can write them in a subtraction sentence:
[tex](5x-4) -( 2x+4)[/tex]
Solve:
[tex]= 5x-4 -2x-4\\= 3x-4 -4\\= 3x-8[/tex]
Answer3x-8
You can replace the values in a problem with
___________ so that it's easier to use mental
math to complete the computation.
You can replace the values in a problem with letters or words so that it's easier to use mental math to complete the computation.
This is further explained below.
What are letters or words?Generally, A word may also refer to both a string of letters that are denoted by a certain meaning and the space that separates those characters from one another.
A graphic representation of a spoken sound is often written or printed and is the basic building block of an alphabet.
In conclusion, You may make it simpler to compute using mental math by changing the numbers in a problem to letters or words, which will make it possible for you to solve the issue more quickly.
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What are the coordinates of the vertices of the image after a 90-degree counter-clockwise rotation about the origin?
Answer:
Step-by-step explanation:
A=(3,-6) B=(1,2) C=(7,-1)
what is -9/10 x - 2/3
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
[tex] -\frac{ 9}{10 } \times - \frac{2}{3} [/tex]
you're going to cancel the 9 using the three then, cancel the 10 using the 2 then you'll have
[tex] - \frac{3}{5} \times - \frac{1}{1} [/tex]
then you will get your answer after finding the product and remember a negative multiplied by a negative is a positive , therefore we. have a positive answer