Answer:
75−4(4−2)^3
=43
Find the inverse of the function F(x)=2x-4
the inverse of F(x)=2x-4 is f^-1(x) = (x + 4) / 2.
In simple terms, the inverse function takes the output of the original function and gives you the original input back. So, if you input 2 into the original function, you get 6 as the output. If you input 6 into the inverse function, you get 2 as the output.
I hope this helps!
Answer:
f^-1(x)=( x + 4 ) / 2
Step-by-step explanation:
by putting f(x) = y , we got the x in y i.e. x = (y+4)/2.
then replace y with x, we get the inverse of function f(x).
A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm
Answer:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Step-by-step explanation:
We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
HELP ME WITH THIS PLSSS!!!
A circle has been divided into three equal angles. is each angle acute obtuse or right?
Answer:
obtuse
Step-by-step explanation:
A circle is 360 degrees
Divide by 3
360/3 =120
This is greater than 90 and less than 180 so it is obtuse
Do I have to take the STAAR test in Aldine ISD as an online student?
Answer: Yes!
Step-by-step explanation:
Hello, I'm a brainly helper. Well..not really but i want to become one soon so if you need help with any question or anything else let me know, I am ALWAYS happy to help! Thxs.
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
1.25 is closer to 1.04 or not ?
plz heelp
Answer:
no
Hope this helps!
mark me brailiest please
Step-by-step explanation:
Write as the opposite of a square root. -3√5
The value of -3√5 as the opposite of the square root is -75.
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root.
Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
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Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $125, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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In an algebraic expression, the quantities being multiplied are called factors.
We can be performed Multiplication on algebraic expressions in the same way as it can be performed on two whole numbers or fractions.
Multiplication of algebraic expressions or variable expressions involves multiplying two expressions combined with various arithmetic operations like addition, subtraction, multiplication, and division and contains constants, variables, terms, and coefficients.
Multiplying the algebraic equation involves the following steps.
1. Multiply the coefficients of the terms, add the powers of the variables with the same base, and obtain the algebraic sum of the like and unlike terms before learning about the multiplication of algebraic expression.
The multiplication of two terms with the same signs is positive, and two terms with different signs are negative.
Example:
−a×−b=ab
a×−b=−ab
We can add the exponents of the same bases in case of multiplication as a^m×a^n=a^m+n
Example:
a^2×a^3=a^2+3=a^5
b^5×b^8=b^5+8=b^13
Algebraic Expression: An algebraic expression is the collection of the constants and the variables connected by fundamental operators like addition (+), subtraction (−), etc.
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Rami practices his saxophone for 5/6 hour on 4 days each week.
How many hours does Rami practice his saxophone each week?
[] 2/[] Hr
Answer:
you take 5/6 and multiply it by 4/1.
which gives you 20/6
then reduce it by dividing the top number by the bottom number
which gives you 3 with a remainder of 2
you then place the remainder over the
This tells you he practicedfor 3 2/6
Step-by-step explanation:
Wayward shoes spends $13 making each pair of its slip-on sneakers. Last week, they sold 95 pairs of these sneakers for $45 each. How much profit did Wayward shoes make last week.
Answer:
$3040 profit made
Step-by-step explanation:
$13×95=$1235 cost to make all the shoes they sold
$45×95=$4275 money she made
$4275-$1235=$3040 profit
The question about btw if answer correctly I’ll give brainalist + 10 points this is half my grade so please be truthful in your work
Answer:
ur correct it's A. trust me u look up all the definitions to the other than A. they gonna be wrong already looked em all up
please answer this question
Answer:
3
Step-by-step explanation:
\(log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\\)
therefore,
\(\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3\)
however, since logarithms cannot have negative arguments, x can only be +3
i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.
When Alexander moved into a new house, he planted two trees in his backyard. At
the time of planting, Tree A was 36 inches tall and Tree B was 21 inches tall. Each
year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per
year. Let A represent the height of Tree At years after being planted and let B
represent the height of Tree Bt years after being planted. Write an equation for each
situation, in terms of t, and determine which tree is taller after 3 years.
Answer:
The equations for each situation are
A = 36 + 6t
B = 21 + 9t
After 3 years, Tree A is taller.
Step-by-step explanation:
From the question,
Tree A was 36 inches tall and Tree B was 21 inches tall at the time of planting; and
Tree A grew by 6 inches per year and Tree B grew by 9 inches per year after planting.
For Tree A,
Given a period of t years after planting, the height would have increased by 6t
∴ A = 36 + 6t
For Tree B,
Given a period of t years after planting, the height would have increased by 9t
∴ B = 21 + 9t
To determine, which tree is taller after 3 years,
t = 3
For Tree A
A = 36 + 6t
A = 36 + 6(3)
A = 36 + 18
A = 54 inches
For Tree B
B = 21 + 9t
B = 21 + 9(3)
B = 21 + 27
B = 48 inches
Hence, After 3 years, Tree A is taller.
Choose the number sentence that illustrates the distributive property of multiplication over addition.
O A. 8(7 + 3) = (8 + 7)(8 + 3)
OB. 8* (7 + 3) = (8 x 7) + 3
OC. 8x (7 + 3) = (8 x 7) + (8 x 3)
Answer:
C
Step-by-step explanation:
The answer is c
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct a 95% condence interval for the proportion of water specimens that contain detectable levels of lead
Answer:
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.
This means that \(n = 42, \pi = \frac{26}{42} = 0.619\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 - 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.472\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.619 + 1.96\sqrt{\frac{0.619*0.381}{42}} = 0.766\)
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
what should be the rate of interest to earn an 45000 as interest wale rupees 50000 easy in investment for 6 year
Answer:
5
Step-by-step explanation:
ion
What is the total surface area of a pyramid with a square base with sides of 12 cm, where the faces
have a slant height of 15 cm?
15 cm
On this side.
A
= 0.3333333
12 cm
O A 144 cm?
OB 234 cm
OC 360 cm
OD 504 cm?
Answer: 504
Step-by-step explanation:
Area: 4 triangles + square
Triangle area = 1/2 x b x h
Square = side x side
4(1/2 x 12x 15) + 12x12
= 504
If 10 pants cost 240u.m, how much will 8 pants cost?
8 pants wil cost 192 u.m.
Step-by-step explanation:1. Establish a rule of 3.10 pants ----> 240u.m
8 pants ----> x
2. Solve for x.In a rule of 3, whenever the x is located at the bottom right corner, you always have to multiply upwards and to the right, and then divide the resulting number by the number on the top left. This is the operation you need to make:
x= (8 x 240) / 10
x= 192
Check the attached image to get a better understanding of this process.
3. Conclude.
8 pants wil cost 192 u.m.
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Proportional quantities are divided into directly and inversely proportional.
Two magnitudes are said to be directly proportional
when we multiply one of them by a number, the other is multiplied by the same number, and when we divide one of them by a number, the other is divided by the same number.
Problem :
If 10 pants cost 240u.m, how much will 8 pants cost?
We have:
\(\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \\ \bold{ Assumption \: { \rightarrow} 10 \: pants \: \rightarrow 240 \: u.m\\\sf \: \: \: \: \: \: \: \: \: Question \rightarrow8 \: pants \rightarrow \: x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\)
As can be seen, the number of pants and the cost are magnitudes directly proportional, and therefore, we put the + sign below the pants and the - sign above.
Therefore we will have:
\(\boxed{ \bold{ \: x = \dfrac{240 * 8}{10} = 192 \: u.m} }\)
So the 8 pants cost 192.
2x+7x=77
5x+7y=115
solve for x & y that makes both expressions true.
The solution that makes both expressions true is x = 8.55556 and y = 10.31746.
To solve for x and y, we need to use a system of equations involves finding the values of x and y that satisfy both equations simultaneously.
We can start by using the first equation to solve for x:
2x + 7x = 77
Combining like terms:
9x = 77
Dividing both sides by 9:
x = 8.55556 (rounded to six decimal places)
Now that we know the value of x we can use either equation to solve for y. Let's use the second equation:
5x + 7y = 115
Substituting x = 8.55556:
5(8.55556) + 7y = 115
Simplifying:
42.7778 + 7y = 115
Subtracting 42.7778 from both sides:
7y = 72.2222
Dividing both sides by 7:
y = 10.31746 (rounded to six decimal places)
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Ashley earned $40,000 last year. If the first $16,000 is taxed at 10% and income above that is taxed at 21%, how much does Ashley owe in tax? HELP ASAP
Hello,
I hope you and your family are doing well!
If Ashley earned $40,000 last year and the first $16,000 is taxed at 10% and income above that is taxed at 21%, the amount of tax that Ashley owes can be calculated as follows:
The first $16,000 of Ashley's income is taxed at a rate of 10%, so the amount of tax on this portion of her income is $16,000 * 10% = $1,600.
The remaining $24,000 of Ashley's income is taxed at a rate of 21%, so the amount of tax on this portion of her income is $24,000 * 21% = $5,040.
The total amount of tax that Ashley owes is the sum of these two amounts or $1,600 + $5,040 = $6,640
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Apply the limit laws to evaluate the ff. limits
Limit's characteristics include its laws. The limit of a function is determined using them. A constant's limit is that very same constant.
How do limitations get assessed?By assessing the function at values close to x=0, we can determine the value of a limit, if one exists. We are unable to immediately determine the value of a function for x=0 since the outcome would be undefined as its denominator would be 0.Limit's characteristics include its laws. The limit of a function is determined using them. A constant's limit is that very same constant.By assessing the function at values close to x=0, we can determine the value of a limit, if one exists. We are unable to immediately determine the value of a function for x=0 since the outcome would be undefined as its denominator would be 0.The complete question is,
Which limitations rules apply?
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Fern's Fruit Bouquets makes and sells bouquets of fruit. When the owner, Fern, makes the bouquets, she uses 3 pieces of plain fruit for every 2 pieces of chocolate-dipped fruit.
Complete the table.
Fern can plan her fruit bunch of flowers procedure and make sure she utilizes the appropriate amount of each piece of fruit in each bouquet by understanding the ratio of basic fruit to chocolate-dipped fruit.
What kind of pieces are an example?She used a pencil to draw a circular on such a piece of paper. He handed me a cake piece in exchange for an orange. The broken cup's fragments were put back together with adhesive. She wears some beautiful jewelry.
That's an intriguing piece of information regarding Fern's Fruit Bouquets! We can state that ratio of plain fruits to caramel fruit is 3:2 if Fern utilizes 3 pieces of basic fruit for each and every 2 pieces of cocoa fruit. Fern will therefore utilize 2 pieces of chocolate-covered fruit for each and every 3 pieces of regular fruit.
This ratio can be expressed as a fraction as well. Say Fern consumes x pieces of unadorned fruit. She will then use (2/3)x pieces of fruit that have been covered in chocolate. This is due to the fact that (2/3) represents a ratio of 2 pieces of chocolate-covered fruit to every 3 pieces of unadorned fruit.
Fern will use (2/3)*6 = 4 pieces of chocolate-covered fruit if she consumes, for instance, 6 pieces of plain fruit.
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The television landscape has changed as networks compete with streaming services such as Netflix and Amazon. Suppose that CBS plans to conduct interviews with television viewers in an attempt to estimate the proportion of viewers in the 18–49 age group who watch “most” of their television on network television as opposed to streaming services. CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?
Answer:
A sample size of 1068 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?
We need a sample size of n, and is found when M = 0.03.
We dont have an estimate for the true proportion, so we use \(\pi = 0.5\), which is when the largest sample size will be needed.
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)
\(0.03\sqrt{n} = 1.96*0.5\)
\(\sqrt{n} = \frac{1.96*0.5}{0.03}\)
\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.03})^2\)
\(n = 1067.1\)
Rounding up,
A sample size of 1068 is required.
y²=(x-y)(x²+y) find the derivative
Answer:
0
Step-by-step explanation:
use the substitution method to solve the system of equationsy=4x8x+y=18
Given data:
The first equation is y=4x.
The second equation is 8x+y=18.
Substitute first equation into second equation.
\(\begin{gathered} 8x+4x=18 \\ 12x=18 \\ x=\frac{3}{2} \end{gathered}\)Substitute 3/2 for x in the first equation.
\(\begin{gathered} y=4(\frac{3}{2}) \\ =6 \end{gathered}\)Thus, the value of x is 3/2, and the value of y is 6.
PleaseHelp! Easy math
Answer:
1.x=12
6/12 divided by 3 for both denominator and numerator
2. x=5
2/10 divided by 3 for both denominator and numerator
5. x=60
60/100 divided by 20 for both denominator and numerator
Find out #3 for yourself
Step-by-step explanation:
The function f(x)=−3x+2 is defined over the domain −1
The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.
The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.
The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.
Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.
Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.
Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.
Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.
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The relationship between the number of grams of carbohydrates in a loaf of bread and the number of calories the loaf contains can be modeled by the equation y approx15x-25 where the number of grams of carbohydrates, and y is the number of calories. According to the model, which statements are correct? Select all that apply.
Answer:
A and C
Step-by-step explanation:
Slope of the equation is 15, that represents calories per gram of carbohydrate increased.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Given equation,
y = 15x - 25
x is number of grams of carbohydrates in bread
y is number of calories in bread
Comparing it with y = mx + c
slope m = 15
y - intercept c = -25
Slope represents calories per gram of carbohydrate increased.
Hence, 15 is slope of the equation, which represents calories per gram of carbohydrate increased.
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