290 to 490 percent increase how much did it increase
answer the answer is 200
Step-by-step explanation:
490-290
What is the domain of the function y=√x+6-7?
O x2-7
O x2-6
O x26
Ox27
The domain of the function is [ - 6 , ∞ ]
A radical function is the one provided.
It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.
As a result, either the radicand of the provided function must be larger than or equal to zero, or:
Thus we can write it as
x + 6 ≥ 0
subtract 6 from both LHS and RHS
x + 6 - 6 ≥ 0 - 6
x ≥ - 6
Therefore the domain of the function is [ - 6 , ∞ ]
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Tobias bought four video games for $34.10, $25.50, $13.25, and $9.99.
How much money did Tobias spend?
Part 1 of 2
Find the numerical value of the rational expression when x = 2 and x = -3.
11x+6
2
2x + 28x + 48
Answer:
28, -27, 108, -42
Step-by-step explanation:
when x=2, 11x+6 = 22+6=28,
2x+28x+48= 30x+48=60+48=108
when x=-3, 11x+6 = -33+6=-27,
2x+28x+48= 30x+48=-90+48=-42
Answer:
I got 28, -27, 108, and -42. See explanation for the answer for which problems
Step-by-step explanation:
11x + 6 = ?
2x + 28x + 48 = ?
x = 2 and x = -3
Let's start with the first equation
Using x = 2
11(2) + 6 = ?
22 + 6 = 28
Using x = -3
11(-3) + 6 =?
-33 + 6 = -27
Second equation
Using x = 2
2(2) + 28(2) + 48 = ?
4 + 56 + 48 = 108
Using x = -3
2(-3) + 28(-3) + 48 = ?
-6 - 84 + 48 = -42
Select the values that make the inequality
Answer: -4, -1, 1, 3, 3.9, 3.99, 3.999, 4
Step-by-step explanation:
That inequality symbol means less than or equal to. So that includes 4 and any number that precedes it on the number line.
The Fitness Studio, Inc.’s, 2021 income statement lists the following income and expenses: EBITDA = $686,000, EBIT = $547,000, interest expense = $94,000, and net income = $426,000.
Based on the data on the income statement, the amount of the tax equals to $27,000.
What is a taxes?Generally, a taxes refers to those mandatory contributions levied on individuals or corporations by a government entity either from local, regional, or national government.
Given that: EBIT = $547,000 Interest expense = $94,000 Net income = $426,000
EBT = EBIT - Interest expense
EBT = $547,000 - $94,000
EBT = $453,000
The tax reported in Income statement:
= EBT - Net income
= $453,000 - $426,000
= $27,000
In conclusion, the 2021 taxes reported on the income statement equals to $27,000.
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plot 5/3 and its opposite on the number line
The numbers are plotted in the attached graph.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line.
Note that 5/3 is approximately equal to 1.7.
Similarly, -5/3 is approximately equal to -1.7.
Now, use the number line to mark the points -1.7 and 1.7, the numbers lie near -2 and 2 respectively.
The numbers are plotted in the attached graph.
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What is the mean of these numbers? 53 29 47 36 65
What is the slope of this line?
O 3/2
O 2:3
0 −3/2
O I don't know.
Answer:
3/2
Step-by-step explanation:
the answer is 3/2 because you take the slope by using the equation y/x. I did this problem by starting prop the point (0,-6). I then counted for how many points I went up, how many did I go to the right or left. If it went to the right it’s positive, to the left it is negative. In this case it went to the right 2 times every time it went up 3. Meaning 3/2
A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeters.
Question:
If one part is randomly selected, find the probability that the part is between 10.8 and 12.8 centimeters.
The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%
How to find the probability that the part is between 10.8 and 12.8 centimetersThe probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
Definition of variables
mean, μ = 16.3 centimeters
standard deviation, σ = 2.5 centimeters
X = 10.8 and 12.8 centimeters
z score, z
substituting into the formula
for X = 12.8 centimeters
= (X - μ) / σ
= (12.8 - 16.3) / 2.5
= -1.4
the p value for z of -1.4 = 0.161513
for X = 10.8 centimeters
= (X - μ) / σ
= (10.8 - 16.3) / 2.5
= -2.2
the p value for z of -2.2 = 0.027807
the probability is calculated as below
0.161513 - 0.027807= 0.133706
= 0.13
=13%
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9. Every 4th person who walks into the dance gets a free water bottle. Every 9th person who walks in
gets an integrity ticket. Who will be the first person to get both a water bottle and an integrity ticket at
the dance?
The first person to get both integrity ticket and free water bottle is the person who comes 36th. This can be calculated by using L.C.M
What is L.C.M?
The value that's equally divided by 2 provided numbers is that the lowest common multiple of any two. Least common multiple is its full name. Another name for it's the Lowest common divisor (LCD)
Main Body:
According to question,
Every 4th person who walks into the dance gets a free water bottle
Every 9th person who walks in gets an integrity ticket.
so the L.C.M of 4 and 9 should be calculated.
L.C.M of 4 and 9 is 36.
Hence L.C.M is 36
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Richard made punch for a party. He used 1\2 cup of pineapple juice, 1\2 cup of ginger ale, and 1\4 cup of white grape juice. How much liquid did he use in the punch? cups
The liquid that Richard used in the punch is 1 1/4 cups.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Richard made punch for a party. He used 1/2 cup of pineapple juice, 1/2 cup of ginger ale, and 1/4 cup of white grape juice.
The total fraction will be:
= 1/2 + 1/2 + 1/4
= 1 1/4 cups.
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Evaluate the expression X - 2 + 2(4) - X when x =12
Answer: 6
Step-by-step explanation: You'll need to substitute x for 12 in the expression, which will be 12 - 2 + 2(4) - 12, and using BODMAS/BIDMAS/PEDMAS (or whatever you use), you should get 6 if you did it correctly.
Answer:
18
Step-by-step explanation:
using bodmas rule by working out brackets first
I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator
What is the probability of rolling a number less than or equal to 3 on a standard six-sided die
The probability of rolling a number that is less than 3 is P = 1/2.
How to find the probability?
A standard six-sided die has the following outcomes:
{1, 2, 3, 4, 5, 6}
The outcomes that are less than or equal to 3 are:
{1, 2, 3}
Assuming all the outcomes have the same probability, the probability of rolling a number less than or equal to 3 on a standard six-sided die will be equal to the quotient between the number of outcomes that meet the condition and the total number of outcomes.
It will give:
P = 3/6 = 1/2 = 0.5
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You rent a bicycle for 20 plus per hour. What is the rate of change
The rate of change for cost is = $2 per hour .
In the question ,
it is given that
the fixed rent for the bicycle is =$20
per hour charge of the bicycle is = $2
let the number of hours we rent a bicycle is = x
and let the total cost for renting the bicycle is = y
So , the equation to represent the cost becomes
y = 20 + 2x
to find the rate of change we differentiate the equation with respect to x .
we get
dy/dx = 2
Therefore , The rate of change is $2 per hour .
The given question is incomplete , the complete question is
You rent a bicycle for $20 plus $2 per hour. What is the rate of change of Cost ?
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1. Use the picture to answer the following questions.
2. Find the missing value(s) in the ratio table.
The ratio of snakes to frogs is 1 : 2.
The ratio of frogs to animals is 2 : 3.
If 3 more snakes are added, the number of frogs that should be added to keep the ratio constant is 6.
Here are the completed tables:
TVs 2 4 6
Computers 7 14 21
Trumpets 10 5 20 25
Drums 8 4 16 20
Books 0 40 100
Boxes 0 2 5
What are the ratios?Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained within other value(s).
The ratio of snakes to frogs can be determined by counting the number of snakes and frogs.
Number of snakes = 4
Number of frogs = 8
The ratio of snakes to frogs - 4 : 8 = 1 : 2
The ratio of frogs to animals = number of frogs : number of animals = 8 : 12 = 2 : 3.
Number of snakes if 3 more are added = 4 + 3 = 7
Ratio of snakes to frogs - 1 : 2
Number of frogs that would keep the ratio constant = 7 x 2 = 14
Number of frogs that should be added = 14 - 8 = 6
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Mara solved an exponential equation by using logarithms. This is her work.
Latex: 7 \cdot 3^x=189
7
⋅
3
x
=
189
7
⋅
3
x
=
189
Latex: 3^x=27
3
x
=
27
3
x
=
27
Latex: \log _3\!(3^x)= \log _3\!27
log
3
(
3
x
)
=
log
3
27
log
3
(
3
x
)
=
log
3
27
Latex: x \log _3\!3=9
x
log
3
3
=
9
x
log
3
3
=
9
Latex: x \cdot 1=9
x
⋅
1
=
9
x
⋅
1
=
9
Latex: x=9
x
=
9
x
=
9
Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.)
a. Be sure to explain what she did and why it was correct or incorrect for Step 3.
b. Be sure to explain what she did and why it was correct or incorrect for Step 4.
c. Provide Mara with feedback on what the mistake was and how to fix it.
a) The mistake that mara made in step 3 is that; she didn't apply the basic rule of logarithm which should have given the expression log 3^x = x log 3
b) The mistake that mara made in step 4 is that; you must eradicate the log at the same time and as such it should be x log 3 = 3log 3
c) The mistake she made throughout is not applying the basic rule of logarithm.
How to solve Exponential Equations using logarithm?
She is trying to solve the exponential function 7 x 3^x = 189 with the following steps;
Step 1. 7 x 3^x = 189
Step; 2. 3^x = 27; This step is correct because she got it by using division property of equality to divide both sides by 7.
Step 3; log^3 (^3) = log^27; This step is incorrect because from basic rules of logarithm, we know that; log 3^x = x log 3
Step 4. xlog^33=9; This is incorrect because you cannot remove the log on one side of the equation without doing the same on the second side. Thus, what she she should have had here is;
x log 3 = 3log 3
Step 5. x * 1 = 9; This is wrong because dividing both sides by log 4 gives; x = 3
Step 6. x = 9; This is wrong because x = 3
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Complete question is;
Mara solved an exponential equation by using logarithms. This is her work.
1. 7 x 3^x = 189
2. 3^x = 27
3. log^3 (^3) = log^27
4. xlog^33=9
5. x * 1 = 9
6. x = 9
Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.)
a. Be sure to explain what she did and why it was correct or incorrect for Step 3.
b. Be sure to explain what she did and why it was correct or incorrect for Step 4.
c. Provide Mara with feedback on what the mistake was and how to fix it.
Use the graph of y=f(x) to graph the function g(x)=f(x + 1)-3.
y = f(x)
4
Choose the correct graph of g below.
OA
OC.
B.
O D.
Q
Function g(x) is a translation of one unit to the left and 3 units down of f(x), then the correct option for the graph of g is B.
which is the graph of the transformed function?Here we start with a function f(x), and we also have the graph of this function.
And we want to find the graph of the function defined as:
g(x) = f(x + 1) - 3
Notice that:
g(x)= f(x + 1)
Is a translation of one unit to the elft of f(x).
g(x) = f(x) - 3
Is a translation of 3 units down of the graph of f(x).
Then:
g(x) = f(x + 1)- 3
Is a translation of one unit to the left and 3 units down.
With that in mind, we can see that the correct option for the graph of g(x) is option B.
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Amount Desired at End of Period
$17,600.00
Length of Time
7
1. Period Used
2. Rate Used
23. PV factor used
3 4. PV of amount desired at end of period
Rate
2%
Compounded
Quarterly
Required:
Complete the following using the information above and the present value Table 12.3
or the present value table in the Business Math Handbook or the present value
formula to answer the following:
Note: Use cells A2 to D3 from the given information to complete this question.
A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%" and PV factor used is 0.62026 .
Hence,
The amount desired at end of a period is $9400.
The length of time is 4 years .
The rate is 2%.
Compounded is monthly.
The period used is 48.
The rate used is 1%.
The PV factor used is 0.62026 .
The PV of the amount desired at the end of the period is $5830.45
What is the percentage?
A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%".
Here from the question,
PV factor = (1 + i) ----(1)
where, i = 12/12 % , i =1
and
n = 4(12)
n = 48
Substituting the values in the equation , we get
PV factor = (1 + 0.01)^ -48
PV factor = 0.62026
Hence,
the amount desired at end of a period is $9400.
The length of time is 4 years.
The rate is %.
Compounded is monthly.
The period used is 48 .
The rate used is 1%.
The PV factor used is 0.62026.
The PV of the amount desired at the end of the period is $5830.45
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A chess board is made using the ratio of square length to king's height, 1.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square?
0.75 inch
1.5 inches
2.25 inches
6.75 inches
The length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that, a chessboard is made using the ratio of square length to the king's height, 1.5 inches to 4.5 inches. If a chessboard is made with a king's height of 2.25 inches.
The square length will be calculated as,
Square length / Kings Height = 1.5 / 4.5
Square length = (King's height x 1.5 ) / 4.5
Square length = ( 1.5 x 2.25 ) / 4.5
Square length = 0.75 inches
Therefore, the length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.
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If semantics D=2x² X -
a trinomial in standard form.
Ox²-3x - 15
2
6x²-3x - 15
O3x²-3x + 15
O-2x² + x + 15
15find an expression that equals semantics-1D as
The expression that equals semantics -1 D is - 2x² + x + 15.
What is a trinomial?One or more terms in an algebraic expression each include variables and constants. These expressions utilize separators like +, -, and that are symbols or operations. An algebraic statement with variables and constants is a quadratic trinomial. It is written as ax² + bx + c, where a, b, and c are real non-zero values and x is the variable. The leading coefficient "a," linear coefficient "b," and additive constant "c" all refer to the same constant.
The given trinomial is D = 2x² - x - 15
Multiply both sides by -1 to find -1D
-1D = -( 2x² - x - 15) = 0
-1 D = - 2x² + x + 15
So, this is the trinomial equal to the semantics -1D.
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Why should there be a number corresponding to the length of every line we draw?
Number lines are significant because they depict numbers as they appear in daily life.
What is number line?
A number line is a representation of a graduated straight line in elementary mathematics that serves as a visual representation of the real numbers. It is assumed that every point on a number line corresponds to a real number, and that vice versa.
Research has revealed that number lines are crucial because they foster sound mental number sense and arithmetic procedures.
They assist in providing a mental approach for addition and subtraction. Number lines are crucial, we can all agree on that.
Number lines are significant because they depict numbers as they appear in daily life.
Primarily because they make it possible for negative integers to be represented in a meaningful fashion.
The ability to display all real numbers, even enigmatic irrational numbers such π, -π, √2, -√ 2, etc., was a secondary but no less significant result.
Hence, number lines are significant because they depict numbers as they appear in daily life.
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The Taylors have recorded their weekly grocery expenses for the past 16 weeks and determined that the mean weekly expense was $86.60. Later, Mrs. Taylor discovered
that 1 week's expense of $89 was incorrectly recorded as $33. What is the correct mean?
The correct mean is $. (Round to the nearest cent as needed.)
Answer: The correct mean weekly grocery expense for Taylor is $62.51
How to find mean of a discrete data?
Suppose the data values be .
Then, their mean is evaluated as:
where n = number of observations.
For the given condition, Taylor recorded the weekly expenses for 12 weeks. Therefore, we get n = 12
Let the real weekly expenses for Taylor be
Let observation is misinterpreted as T
Then, the mean of that misinterpreted set of data would be
Since we're given that:
Therefore, we get the mean of original weekly expenses as:
Therefore, the correct mean weekly grocery expense for Taylor is $62.51
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Step-by-step explanation:
85 POINTS + BRAINLEIEST PLEASE NEED THIS DONE SOON!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)
Part B: Write a function to represent the data. Show your work. (4 points)
Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)
A. The data modeling the relation is an exponential function.
B. The function is: y = 2^x.
C. The rate of change from x = 2 to x = 4 is of 4.
What is an exponential function?The definition of an exponential function is presented as follows:
[tex]y = ab^x[/tex]
In which the variables of the function are listed as follows:
a is the numeric value of the function when the input is of x = 0.b is the rate of change of the function, which is the constant by which y is multiplied when x is increased by one.From this data-set, when x increases by one, y is multiplied by 2, hence the rate of change is:
b = 2.
When x is increased by n, the rate of change is:
b^n = 2^n.
Hence, when x is increased by 2, from 2 to 4, in item c, the rate of change is:
2² = 4.
When x = 1, the output is the output at x = 0 multiplied by 2, hence the coefficient a of the function is given as follows:
a = 2/2 = 1.
Then the exponential function is:
[tex]y = 2^x[/tex].
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how many craft sticks will be left over if 9 friends equally share a package of 85 craft sticks
Answer:
4 craft sticks
Step-by-step explanation:
Assuming that none of the craft sticks can be split in order to equally share the whole package, then the most craft sticks each person could have would be 9 because 9*9=81. This means that there would be 4 craft sticks left over because 85-81=4
Please help me I need help
Answer:
p = 20
Step-by-step explanation:
[tex]\rm \implies \dfrac{p}{2} - 9 = 1 \\ \\ \rm \implies \dfrac{p}{2} - 9 + 9 = 1 + 9 \\ \\ \rm \implies \dfrac{p}{2 } = 10 \\ \\ \rm \implies \dfrac{p}{ \cancel{2}} \times \cancel{2} = 10 \times 2 \\ \\ \rm \implies p = 20[/tex]
help me please so i can pass my semester
Kadeesha has a toy car collection of 320 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall
Answer:272
Step-by-step explanation:
Use f(x) = 4x - 3 and g(x) = 5 - x2 to evaluate the expression.
(a)
(f o g)(x)
(b)
(g o f)(x)
A
The expression will be; part (a) (f o g)(-2) = 2 and part (b) (g o f)(-2) = -95
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the functions as;
f(x)=4x-2
g(x)=5-x^2
We need to find (f o g)(-2)
So, first, we will find the function (f o g)(x) as follows:
[tex]\begin{gathered} \mleft(f\circ g\mright)(x)=f\lbrack g(x)\rbrack=4(5-x^2)-2 \\ (f\circ g)(x)=20-4x^2-2 \\ (f\circ g)(x)=18-4x^2 \end{gathered}[/tex]
Now, substitute with x = -2 then we get;
[tex](f\circ g)(-2)=18-4\cdot(-2)^2=18-4\cdot4=18-16=2[/tex]
Thus, the answer to the part is (a) (f o g)(-2) = 2
b) (g o f)(-2)
We need to find (g o f)(x) as follows:
[tex](g\circ f)(x)=g\lbrack f(x)\rbrack=5-(4x-2)^2[/tex]
Now Substitute with x = -2, then we get;
[tex]\begin{gathered} (g\circ f)(-2)=5-(4\cdot-2-2)^2 \\ =5-(-8-2)^2 \\ =5-(-10)^2 \\ =5-100 \\ =-95 \end{gathered}[/tex]
Thus, the answer to the part (b) is (g o f)(-2) = -95
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