Given that 1 inch = 2.54 cm, how
many
centimeters are there in 6 feet? Answers may
be written using decimal form and should be
rounded to the nearest hundredth when
necessary.
Answer:
There are 182.88 cm in 6 feet, given that 1 inch = 2.54 cm.
Step-by-step explanation:
Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet?
12 inches = 1 foot
We have 6 feet, so:
6 feet x 12 inches = 72 inches
If 1 inch is 2.54 cm, multiply by the number of inches by 2.54 to get the number of cm.
2.54 x 72 = 182.88
There are 182.88 cm in 6 feet, given that 1 inch = 2.54 cm.
Which inequality is represented by the graph?
y≥−3/2x−2
y<−3/2x−2
y>−3/2x−2
y≤−3/2x−2
Answer:
y≥−3/2x−2
Step-by-step explanation:
the inequality is represented by the graph is y≥−3/2x−2
Choose the correct description of the graph of the compound inequality (1 point) x − 3 < −11 or x + 5 greater than or equal to 14. Group of answer choices A number line with a closed circle on −8, shading to the left, and an open circle on 9, shading to the right A number line with an open circle on −8, a closed circle on 9, and shading in between A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right A number line with a closed circle on −8, an open circle on 9, and shading in between
The graph of the compound inequality is described by the third choice. A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right
From the question, we are top determine the graph of the given compound inequality
First, we will determine the solution to the compound inequality
Solving the first inequality
x - 3 < - 11
Add 3 to both sides
x - 3 + 3 < - 11 + 3
x < -8
Solving the second inequality
x + 5 ≥ 14
Subtract 5 from both sides
x + 5 - 5 ≥ 14 - 5
x ≥ 9
Thus,
The solution to the given compound inequality is x < -8 or x ≥ 9
Hence, the graph of the compound inequality is described by the third choice. A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right.
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Give one example of worded problem applying the polya's 4-steps in problem solving.
Answer:
Polya created his famous four-step process for problem solving, which is used all over to aid people in problem solving:
Step-by-step explanation:
Polya created his famous four-step process for problem solving, which is used all over to aid people in problem solving:
Step 1: Understand the problem.
Step 2: Devise a plan (translate).
Step 3: Carry out the plan (solve).
Step 4: Look back (check and interpret).
The example using the polya's 4-steps in problem solving is created along with the answer.
Let's apply Polya's 4-step problem-solving process to the following word problem:
Problem: Lily has twice as many apples as John. Together, they have 27 apples. How many apples does each person have?
Step 1 - Understand the Problem:
To solve this problem, we need to find the number of apples that Lily and John each have. We know that Lily has twice as many apples as John, and together, they have 27 apples. We need to determine the number of apples for each person.
Step 2 - Devise a Plan:
Let's use algebra to represent the number of apples. Let's say the number of apples John has is "x." Since Lily has twice as many apples as John, the number of apples she has is "2x." We know that together, they have 27 apples, so we can set up an equation:
x + 2x = 27
Step 3 - Execute the Plan:
Now, we'll solve the equation to find the value of "x."
3x = 27
x = 27 / 3
x = 9
So, John has 9 apples. Now, we can find the number of apples Lily has:
Lily's apples = 2 * 9 = 18
Step 4 - Review the Solution:
John has 9 apples, and Lily has 18 apples. Together, they have 9 + 18 = 27 apples, which matches the information given in the problem. Therefore, the solution is correct.
Answer:
John has 9 apples, and Lily has 18 apples.
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For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function. The formula for converting from Celsius to Fahrenheit temperatures is F=\frac{9}{5} C+32 .
a. Find the inverse of the formula. Is the inverse a function?
A function is one-to-one if each horizontal line crosses the function's graph no more than once. The inverse function of F = 9/5C +32 is a one to one function.
What is meant by one-to-one function?A function is one-to-one if each horizontal line crosses the function's graph no more than once.
If the graph of a function f is known, determining whether the function is 1 -to-1 is simple. Make use of the Horizontal Line Test. If no horizontal line intersects the graph of the function f more than once, the function is one-to-one.
If f(x) = f(y)
⇒ x = y, then f is one to one.
Let the Fahrenheit temperatures be F = 9/5C +32
Subtract 32 from both sides of the above equation
F-32 = 9/5C
Multiply both sides by 5:
5(F-32) = 9C
Divide both sides by 9:
C = 5/9 (F-32)
For 27°
C = 5/9 (27-32)
simplifying the above equation, we get
⇒ C = 5/9 (-5)
⇒ C = -25/9
The value of C = -25/9.
= -2.78C°
⇒ 2dp
Yes, the inverse is a one to one function.
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What’s 7+5p+4r+6s I need to fast
Answer:
7+5p+4r+6s
Step-by-step explanation:
the same thing cause their variables are different, you can't add if the variables are different
variables are those letters that are at the end of the coefficient
And please explain I need your help
Answer:
No.
Step-by-step explanation:
The sides are not scaled evenly. For a scaled polygon, you would want all the sides to be multiplied by the same number.
Answer: No because they are different numbers that dont reach the amount of the last one, example: 8/ 5 doesn't match 6 no 4 yes the only one and 6/ 2 yes/ 3yes/ 4no so if they did all match up then yes but it would be no
Step-by-step explanation: They are different numbers that don't reach the amount of the last one, example: 8/ 5 doesn't match 6 no 4 yes the only one and 6/ 2 yes/ 3 yes/ 4 no so if they did all match up then yes but it would be no.
A survey of 24 students found that 13 out of the 24 ride the bus to school. At this same rate, if there are 350 students in middle school how many would you expect to ride the bus to school? Round your answer to the nearest student.
189 students are expected to ride the bus to school if there are 350 students.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A survey of 24 students found that 13 out of the 24 ride the bus to school. Hence:
Rate at which student ride bus = 13/24
if there are 350 students in middle school:
Number of students expected to ride bus = (13/24) * 350 = 189.58
189 students are expected to ride the bus to school if there are 350 students.
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HELP ME YALLLL I HAVE A QUESTION ❓⁉️❓❓
Multiple choice :
A) k=2
B) k=0
C) k<4
D) k<or = 0
E)k< or = 4
====================================================
Explanation:
Recall the discriminant formula is
d = b^2 - 4ac
which is the stuff found under the square root in the quadratic formula.
If d > 0, then the equation ax^2+bx+c = 0 will have two different real number roots.
So,
d > 0
b^2 - 4ac > 0
4^2 - 4(1)(k) > 0
16 - 4k > 0
16 > 4k
4k < 16
k < 16/4
k < 4 which points us to choice C
For example, if k = 0, then the equation x^2+4x+k = 0 becomes x^2+4x = 0. This has the two different roots of x = 0 and x = -4.
Highlight the first step that shows an error in solving 2(2+q)−2=8. Then find the solution of the original equation. The solution is q=.
please help!!!!
Answer:
q=3
Step-by-step explanation:
im very bad at explaining step by step.
Find the distance between the two points in simplest radical form.
906/2so what is your name
what two ratios that are equvilent to 1:1
Answer:
Step-by-step explanation:
2 : 2, 3 : 3
Solve each equation. Round to the nearest ten-thousandth. 2 log₃x=54
The solution for the given Logarithms equation 2 log₃x=54 is x = 3²⁷ in the nearest ten-thousandth = 7625597484987.
The exponential logarithmic form:Exponential functions have logarithmic inverses. A log is thus an exponent! y=logbx if and only when by=x for all x greater than zero and 0b1.
Why are logarithms used?Logarithms depict changes in terms of multiplication: each step in the preceding instances is 10x larger. Each step is "e" (2.71828...) times longer using the natural log. When dealing with such a sequence of multiplications, logarithms assist in "counting" them in the same way as addition assists us in counting when effects are added.
According to the given equation:Given 2 log₃x=54
Divide both side by 2:
(2 log₃x)2 = 54/2
simplify.
log₃(x) = 27
apply log rule:
x = 3²⁷
Decimal value of x = 3²⁷ = 7625597484987
The solution for the given Logarithms 2 log₃x=54 is x = 3²⁷ in the nearest ten-thousandth = 7625597484987
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Suppose that an ink cartridge is classified as being overfilled, medium filled, or underfilled with a probability of 0.40, 0.45, and 0.15, respectively. (a) what is the probability that a cartridge is classified as not underfilled? (b) what is the probability that a cartridge is either overfilled or underfilled?
The probability that a cartridge is classified as not underfilled is 0.85, while the probability that a cartridge is either overfilled or underfilled is 0.55.
Probability is defined as the likeliness of an event to occur, and ranges from 0 to 1 or can be expressed as percentage.
(a) If a cartridge is classified as not underfilled, it means that it is either medium filled or overfilled. Then the probability of that is the sum of the probabilities of the two.
P(underfilled) = P(overfilled) + P(medium filled)
P(underfilled) = 0.40 + 0.45
P(underfilled) = 0.85
(b) If a cartridge is either overfilled or underfilled, then its probability is the sum of their probabilities.
P(either overfilled or underfilled) = P(overfilled) + P(underfilled)
P(either overfilled or underfilled) = 0.40 + 0.15
P(either overfilled or underfilled) = 0.55
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Find the inverse of each function. Is the inverse a function?
f(x)=x³
To have an inverse function, a function must be one-to-one.
[tex]$$f^{-1[/tex](x) = x³ is the inverse of f(x) = x³
What is meant by inverse function?An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function " f " takes x to y, then its inverse will take y to x. The inverse function is denoted by [tex]$$f^{-1[/tex] or F-1 if the function is denoted by ' f ' or ' F '.
To find the inverse, interchange the variables and solve for y.
f−1(x)=3√x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
Replace y with [tex]$$f^{-1[/tex](x) then we get
[tex]$$f^{-1[/tex](x) = 3√x
[tex]$$f^{-1[/tex](x) = x³ is the inverse of f(x) = x³
The result of a mathematical operation, such as addition and subtraction, multiplication and division, is reversed. These are referred to as inverse operations. Typically, the inverse of a number is its reciprocal, or x - 1 = 1/x. A number and its reciprocal (inverse) product yield one.
To have an inverse function, a function must be one-to-one.
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You put $ 1500 into an account that pays 7% annual interest compounded continuously. How long will it be before you have $2000 in your account?
The answers to all the subparts are:
Equation formed: A= 1500e(.07)(4)Money in the account after 4 years: $1984.69Time until there is $5000 in the account: 30 yearsWhat is compounding?Compound interest is the contribution of interest to the principal sum of a loan or deposit or interest on interest plus interest. It is the result of reinvesting interest, or adding it to the loaned capital, rather than paying it out or requiring payment from the borrower, so that interest is earned on the principal sum plus previously accumulated interest in the following period. In finance and economics, compound interest is the norm.Compound interest differs from simple interest in that previously accrued interest is not added to the principal amount of the current period, resulting in no compounding.So,
Given:
A = pertA= future amountp = principal investment = 1500e = Euler's numberr = interest rate = .07t = time in years = 4(1) An equation to model the situation:
Then, according to given information, A= 1500e(.07)(4).(2) Money in the account after 4 years:
A= 1500e.28 = $1984.69(3) To find how will it be until there is $5000 in the account:
5000 = 1500e.04te.04t = 5000/1500e.04t = 10/3ln(e.04t) = ln(10/3).04t = ln(10/3)t = ln(10/3)/.04t = 30 yearsTherefore, the answers to all the subparts are:
Equation formed: A= 1500e(.07)(4)Money in the account after 4 years: $1984.69Time until there is $5000 in the account: 30 yearsKnow more about compounding here:
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The complete question is given below;
$1500 is put into an account earning 7% annual interest, compounded continuously.
1. Write an equation to model the situation
2. How much money will be in the account after 4 years?
3. How will it be until there is $5000 in the account?
3/2p-14=p+13
what does p equal
The value of p is 54.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called Substitution method.
The equation is given as:
3/2 p - 14 = p + 13
Now, We can solve the expression as;
3/2 p - 14 = p + 13
Add 14 in both side,
3/2 p - 14 + 14 = p + 13 + 14
3/2 p = p + 27
Subtract 'p' from both side,
3/2 p - p = p + 27 - p
3/2 p - p = 27
1/2 p = 27
Multiply 2 in both sides,
p = 54
Hence, The value of p is 54.
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Round 1,892 to the nearest thousand it has nothing to do what I’m looking for math
Answer:
2,000
Step-by-step explanation:
because the 8 in the hundreds place is more than 5 and allows the number to be rounded up
Answer: 2,000
Step-by-step explanation:
the 1 next to the 8 makes that 1 to round up to a 2 which makes it 2,000.
Find all the real square roots of each number.100
The value of the square root of the number 100 is 10.
What is the square root?The square root is a mathematical operation considered the inverse of raising a number to a square power.
To determine the square root of a number we must find a number that approaches the result with a square exponential operation or a product between itself, but in this case we will decompose into factors, since the root is not integer.
If we want to determine the root of 100, we express:
√100, now we find a number that multiplied by itself gives us 100, and this numeor is the 10
10 x 10 = 10010² = 100√100 = √10² = 10
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Evaluate. Write your answer as a mixed number.
2 2/3 × 3 1/4=
(They are fractions with whole numbers)
The value of the fractional expression as a mixed numbers is: 2⅔ × 3¼ = 8⅔.
What are Mixed Numbers?A mixed number is a combination of a whole number together with a fraction. It can also be referred to as mixed fractions.
How to Evaluate Fractions?Given the fractional expression, 2⅔ × 3¼, evaluate the fractions as explained below:
Convert the mixed numbers to improper fractions
2⅔ × 3¼ = 8/3 × 13/4
2⅔ × 3¼ = 2/3 × 13/1
Multiply the denominators together and the numerators together
2⅔ × 3¼ = 26/3
Divide
2⅔ × 3¼ = 8⅔
Therefore, the value of the fractional expression as a mixed numbers is: 2⅔ × 3¼ = 8⅔.
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A classroom of students can be divided into two, three, and five groups, with no students left over. How many students are likely in the class?
The number of students that are likely to be in the class will be 30 students.
How to calculate the value?From the information, it was stated that the classroom of students can be divided into two, three, and five groups, with no students left over.
Therefore, the number of students that are likely to be in the class will be:
= 2 × 3 × 5
= 30
Therefore, the number of students that are likely to be in the class will be 30 students.
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Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
The function has an inverse that is also a function would be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output. In other words, the function is a relationship between variables and the nature of the relationship.
We have been given that a function is only a function such that there is a unique value of y corresponding to x.
An inverse function is only be a function if the function which is going to be inverse is a function.
The inverse of a function: (x, y) → (y, x)
1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
It has unique y- values, the inverse won't repeat x-values, so the inverse is also a function.
Hence, The function has an inverse that is also a function would be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).
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Can you solve this ?
Answer:
2x^2 + 6x - 2
Step-by-step explanation:
It's the second option using like terms
Answer:
The answer is 2x² + 6x - 2. which means it's B.
solve the literal equation for y, 8x + 2y = 18
Answer:
y=-4x+9
Step-by-step explanation:
8x+2y=18
-8x -8x
2y=-8x+18
Divide by 2.
2y/2=y
-8x/2=-4x
18/2=9
Put the pieces back together.
y=-4x+9
Hope this helps.
Answer:
x = 9-y / 4
Step-by-step explanation:
X 1.5.PS-15
Question Help
Estimation Solve the equation. First
estimate using the perfect square closest
to 86. Then use a calculator.
v² = 86
Estimate.
V≈
(Use a comma to separate answers
as needed.) perfect square of 86
Answer:
see explanation
Step-by-step explanation:
the closest perfect square to 86 is 81 , then
[tex]\sqrt{81}[/tex] = 9 ← estimate value
using the calculator
[tex]\sqrt{86}[/tex] ≈ 9.27 ( to 2 dec. places )
Solve for y. Use the note pad to show your work, then type your equation in the box below. 4x-y=24.
Two or more expressions separated with an equal sign is called as equation. y=24-x is the value for y of equation 4x-y=24.
What is equation?Two or more expressions separated with an equal sign is called as equation.
The given equation is
4x-y=24.
In the given equation x and y are variables.
We are required to solve for y variable.
subtract both sides by -4x
4x-y-4x=24-4x
-y=24-4x
Multiply both sides by minus
y=-24+4x
y=4x-24
Therefore the solution for y is 4x-24.
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a ladybug flies in a straight line from (2, 7, 1) to (4, 1, 5) (with units in meters); the ladybug flies at a constant speed and the flight takes 4 seconds. (a) give a parametrization for the path the ladybug flies between the points, including domain. (b) how much distance does the ladybug travel per second?
As per coordinate geometry, a) 7.48 meters is the parameter for the path the ladybug flies between the points, including the domain. b) 1.87-meter distance does the ladybug travel per second
This is a problem from coordinate geometry and we can crack it with a few steps. First of all, the required formula to solve it is,
l = √ ( x₁ - x₂ )² + ( y₁ - y₂ )² + ( z₁ - z₂)²
where, x₁, y₁, z₁ is the coordinate of the first point and x₂, y₂, z₂ is the coordinate of the second point and l is the distance between two points.
Here x₁ = 2, y₁ = 7, z₁ = 1
and x₂ = 4, y₂ = 1, z₂ = 5
Now we have to put values in the formula,
l = √ ( 2 - 4 )² + ( 1 - 7 )² + ( 5 - 1 )²
l = √ 2² + 6² + 4²
l = √ 4 + 36 + 16
l = √ 56 = 7.48 meter
So, the ladybug flies 7.48 meters while traveling from point one to point two.
The speed taken to fly along this path is, l/t = S, where S is denoted as speed.
S = 7.48 / 4 = 1.87 meters/ second.
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Comparing ratio tables
How much faster does laura type than robert
Answer:
The following tables show how many words each person can text in a given amount of time. Compare the rates of texting for each person using the ratio table.
Step-by-step explanation:
Let f(x)=2 x+5 and g(x)=x²-3 x+2 . Perform each function operation, and then find the domain.
3 f(x)-2
For f(x)=2 x+5 and g(x)=x²-3 x+2 , the values of the composite function 3 f(x)-2 = 6x+ 13
What is the domain of the function 3 f(x)-2 ?
The domain of a function is the set of input values, the function can take.
The functions are given as:
f(x)=2 x+5
g(x)=x²-3 x+2
To find:
3 f(x)-2 = ?
3 ×(2 x+5) - 2 = 6x + 15 - 2
= 6x+ 13
Therefore,
The function operation of 3 f(x)-2 = 6x+ 13
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2/3x+y=7/3
2/3x-y=1
Solve the equation without graphing
Answer: Reflect the shape A in the line: y = -1 An investment has been growing in value at a rate of 8% per year and now has a value of $8200. Find the value of the investment in 5 years. Step by St …
explanation: