Range of the function is the set {-6.5, -5, -2}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of the function is the input values of the function and Range of the function is the output values.
Given function is,
F(x) = 3/4 x - 5
Domain of the function is -2, 0 and 4.
F(-2) = (3/4 × -2) - 5 = -13/2 = -6.5
F(0) = (3/4 × 0) - 5 = 0 - 5 = -5
F(4) = (3/4 × 4) - 5 = 3 - 5 = -2
Range = {-6.5, -5, -2}
Hence the required range of the given function is {-6.5, -5, -2}.
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VEmily uses 1 2 3 cups of sugar and 3 1 4 cups flour to make muffins. She says she has 1 2 3 more cups of flour than sugar. Do you agree? Explain. A. Yes; 3 1 4 − 1 2 3 = 1 2 3. B. No; the difference between 3 1 4 and 1 2 3 is 1 1 2 , not 1 2 3. C. No; the difference between 3 1 4 and 1 2 3 is 1 7 12 , not 1 2 3. D. No; the sum of 3 1 4 and 1 2 3 is 4 11 12 , not 1 2 3
Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12The question is asking if Emily has 123 more cups of flour than sugar.
To check if this is true, we can subtract the amount of sugar from the amount of flour, and see if the difference is equal to 123.
Emily uses 1 2 3 cups of sugar and 3 1 4 cups of flour.
Therefore, the difference between the amount of flour and the amount of sugar is:
3 1 4 − 1 2 3 = 12/4 + 3/4 - 3/12 = 9/12 + 9/12 - 1/12 = 17/12
The difference between the amount of flour and the amount of sugar is 17/12, not 123. Therefore, we cannot agree with Emily's statement that she has 123 more cups of flour than sugar.
Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12, which is the same as our calculation above. Options A and B are incorrect because they give incorrect values for the difference. Option D is incorrect because it gives the sum of the two quantities, not the difference.
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Answer:
its c. all credits go to the girl/boy up there.
Step-by-step explanation:
Hey circle has a radius of 16 feet what is the circumference use 3.14 for pie and do not round your answer be sure to include the correct unit in your answer 
Answer:
100.48ft
Step-by-step explanation:
Use circumference formula
C=2(pi)r
how to convert 147 lbs to kg?
The measure of the value after converting 147 pounds to kilograms is equal to ( 66.6792 ) kilograms.
Pounds and Kilograms are units to measure the weight of a given body.Relation of 1 kilograms = 2.20462 pounds.
⇒ 2.20462 pounds = One kilograms
⇒ 1 pounds = ( 1 / 2.20462 ) kilograms
⇒1 pounds = ( 0.4536 ) kilograms
Substitute the value 147 pounds we get,
⇒ 147 pounds = ( 147 × 0.4536 ) kilograms
⇒ 147 pounds = ( 66.6792 ) kilograms
Therefore, after converting the value 147 pounds to kilogram is equal to ( 67.1328 ) kilograms .
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Will mark BRAINLIEST
The surface area to volume ratio is written as 6x squared : x cubed
Where x >0
What value of x would make the ratio 1:1
Answer:
The value of x would make the ratio 1:1 is 6.
Step-by-step explanation:
The given ratio is:
Surface Area : Volume = 6x^2 : x^3
To find the value of x that makes this ratio 1:1, we need to set the two parts of the ratio equal to each other and solve for x:
6x^2 = x^3
Divide both sides by x^2 to obtain:
6 = x
Therefore, the value of x that makes the ratio 1:1 is x = 6.
What is the conversion of 5.5 inches to mm?
The value of "5.5 inches" after conversion to millimeter is equivalent to 139.7mm .
To convert the number 5.5 inches to millimeters, we use the conversion factor ;
The Conversion Factor is defined as a mathematical ratio which is used to convert a measurement from one unit to another unit .
We know that 1 inch is approximately equal to 25.4 millimeters,
So , the conversion factor is 25.4 mm ;
On multiplication , we get ;
⇒ 5.5 inches × 25.4 millimeters/inch = 139.7 millimeters .
Therefore, 5.5 inches is equal to 139.7 millimeters .
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how to convert 20kg in pounds?
20 kg is approximately equal to 44.0925 pounds ( rounded to four decimal places )
The conversion factor to convert kg to pounds is 2.20462
1 kg = 2.20462 pounds
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in pounds = The mass in kg × conversion factor
Substitute the values in the equation
1 kg = 2.20462 pounds
20 kg = 20 × 2.20462
Multiply the numbers
= 44.0925 pounds ( rounded to four decimal places )
Therefore, 20 kg is 44.0925 pounds
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A car yard had a sale. It advertised that it would pay the GST on all cars sold. The salesman subtracted 15% from the full GST inclusive price of $5999 in order to calculate the sale price. Explain why his boss was angry, and calculate what the sale price should have been.
Answer: $5938.92
Step-by-step explanation:
GST = original price * 10% = $5999 * 0.1 = $599.90
The total GST inclusive price would be the sum of the original price and the GST, which is:
GST inclusive price = original price + GST = $5999 + $599.90 = $6598.90
Sale price = (GST inclusive price + GST) * (1 - 10%) = ($6598.90 + $599.90) * 0.9 = $6598.80 * 0.9 = $5938.92
Therefore, the correct sale price should have been $5938.92, and the car yard should have paid the 10% GST on each sale, as advertised.
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify.
[tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .
What are equivalent expressions?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
How to solve Fractions ?
Step 1: Find the least common denominator. ...
Step 2: Multiply the least common denominator. ...
Step 3: Simplify the equation. ...
Step 4: Simplify until there's one term on both sides. ...
Step 5: Divide the coefficient on both sides.
Now,
[tex]\frac{\sqrt{13} }{\sqrt{3} - 3 } \\\\= \frac{\sqrt{3} }{\sqrt{3} - 3 }. \frac{\sqrt{3} +3 }{\sqrt{3} +3} \\\\= \frac{3 +3 \sqrt{3} }{3 - 9} \\\\= -\frac{1}{2} .(1 + \sqrt{3} )[/tex]
Hence , [tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .
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what is 35km in miles?
Based on the conversion factor, 35km is equivalent to approximately 21.75 miles.
Kilometers and miles are units of distance measurement used in different parts of the world. While kilometers are the standard unit of distance in most countries, miles are widely used in the United States, the United Kingdom, and a few other countries.
A kilometer is approximately 0.621371 miles, which means that 1 mile is roughly 1.609344 kilometers.
To convert 35km to miles, we need to use this conversion factor. We can start by setting up a proportion:
35 km = x miles
1 km = 0.621371 miles
Multiplying both sides by the conversion factor, we get:
35 km x 0.621371 miles/1 km = x miles
Simplifying this expression, we get:
21.748485 miles = x miles
In conclusion, measurements are essential in our daily lives, and knowing how to convert one measurement to another can be beneficial. In this article, we explored what 35km in miles means and how we can convert kilometers to miles. Remember that 1km is approximately 0.621371 miles, and we can use this conversion factor to convert any distance measurement from kilometers to miles or vice versa.
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what is the initial value problem calculator?
The initial value problem calculator is a tool used to calculate differential equations.
An instrument for solving ordinary differential equations with initial conditions is an initial value problem calculator. Finding a function that solves a given differential equation and a set of initial conditions is the goal of this calculator, a particular kind of differential equation problem. The differential equation, the beginning conditions, and other pertinent parameters are entered into the calculator, which then generates a solution that fulfils the initial conditions.
Usually, the answer is provided as a function that specifies how the system behaves over time. In disciplines like physics, engineering, and economics, where differential equations are regularly employed to represent dynamic systems, these calculators are widely used. They can be helpful for obtaining an understanding of a system's behavior and for predicting its upcoming trends
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What is calculator vertex form of a parabola online?
The vertex form of a parabola is y = a(x - h)² + k , where: a — Same as the a coefficient in the standard form; h — x-coordinate of the parabola vertex; and. k — y-coordinate of the parabola vertex.
The extremal value of a quadratic curve is represented by the vertex of a parabola, which is a point. The quadratic portion is still valid because two is our variable's most important power (x). For a parabola to open up, the vertex can either be a minimum or a maximum (for a parabola opening down).
As an alternative, we might state that the parabola's vertex is where its symmetry axis meets it.
The vertex is typically represented by the point P(h,k), where h stands for the x-coordinate and k for the y-coordinate.
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LIMITED BRAINLEST YALL BE TAKING TOO LONG 5 MINS Which simplified ratio correctly compares 5 meters to 100 centimeters?
1 meter = 100 centimeters
Responses
5:1
5 colon 1
1:20
1 colon 20
20:1
20 colon 1
1:5
Answer:5:1
Step-by-step explanation:
A cylindrical glass has a diameter of 3 inches and is 10 inches tall. Suppose the faucet dispenses water at a rate of 1 cubic inches per second. How long does it take to fill the glass 50%? Enter your answer as a decimal rounded to two places.
It takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.
The volume of the cylindrical glass can be calculated as:
V = πr²h
where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).
Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:
V = π(1.5)²(10) ≈ 70.69 cubic inches
To fill the glass 50%, we need half of the volume:
V/2 ≈ 35.35 cubic inches
The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:
t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds
Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.
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What is the length of Line segment A B? Round to the nearest tenth.
Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x.
9.7 m
10.4 m
37.3 m
38.6 m.
The length of the line segment AB is 38.6 m. The solution has been obtained by using trigonometry.
What is trigonometry?
The study of the sides, angles, and connections of the right-angle triangle falls under the umbrella of the branch of mathematics known as trigonometry.
We are given a right angled triangle, with angle ACB = 90° and angle CAB = 75°.
We know that cos theta = adjacent side/hypotenuse
So,
⇒cos θ = 10/x
Here, θ = 75°
So,
⇒cos 75° = 10/x
⇒x = 10/cos 75°
⇒x = 38.6
Hence, the length of the line segment AB is 38.6 m.
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Ben reached into his wallet without looking and took out two bills. What is the probability that each bill will be worthless $10
The probability that Ben will find two worthless $10 bills in his wallet is practically impossible.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
The probability that each bill will be a worthless $10 bill is very low. This is because the US Federal Reserve has discontinued the production of $10 bills in 2006, so the likelihood of finding two of them in circulation is highly unlikely. Additionally, bills are often replaced after a certain amount of time due to wear and tear, so the probability of finding two bills in circulation that are both from the discontinued series is even lower.
The chances of finding two $10 bills from the discontinued series in circulation is so extremely rare that it has been estimated to be one in ten million. Even though it is possible to find two bills from the discontinued series, it is extremely unlikely that one would carry two of them in their wallet. Therefore, the probability that Ben will find two worthless $10 bills in his wallet is practically impossible.
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what is 15.6 divided by 100
Answer:
[tex]15.6 \div 100 = .156[/tex]
Step-by-step explanation:
100 is 10 to the second power. Since you are dividing, move the decimal point in 15.6 two places to the left. So .156 is your answer.
Answer:0.156
Step-by-step explanation:
Two companies offer the following rates for renting photocopiers:
- Kan Enterprise: $50 per month and $0.06 per copy;
- Enterprise Dev: $75 per month and $0.05 per copy,
For what number of copies is the total price charged by companies the same?
A geometric progression has eight terms. The first term is 256 and the common ratio is 1/2.
An arithmetic progression has 51 terms and common difference is 1/2.
The sum of all the terms in the geometric progression is equal to the sum of all the terms in the arithmetic progression. Find the first term and the last term in the arithmetic progression.
The first term and the last term in the arithmetic progression are -2.5 and 22.5 respectively.
How to calculate the sum of a geometric sequence?In Mathematics, the sum of a geometric sequence is given by this mathematical expression:
[tex]S=\frac{a_1(1-r^n)}{1-r}[/tex]
Where:
aₙ or n represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.How to calculate the sum of an arithmetic sequence.Mathematically, the sum of an arithmetic sequence is calculated by using this expression:
Sn = n/2(2a₁ + (n - 1)d)
Where:
Sn represents the sum of an arithmetic sequence?d is the common difference.a₁ is the first term of an arithmetic sequence.n is the total number of terms.Since the sum of all the terms in the geometric progression is equal to the sum of all the terms in the arithmetic progression, we have:
256(1 - 0.5^8)/(1 - 0.5) = 51/2(2a₁ + (51 - 1)0.5)
256(1 - 0.00390625)/(0.5) = 25.5(2a₁ + 25)
255/0.5 = 51a₁ + 637.5
510 = 51a₁ + 637.5
51a₁ = -127.5
a₁ = -2.5
For the last term, we would use the following formula:
aₙ = a₁ + (n - 1)d
a₅₁ = -2.5 + (51 - 1)4
a₅₁ = -2.5 + (50)0.5
a₅₁ = 22.5.
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prove that if a symmetric matrix is invertible, then its inverse is symmetric also.
Let A be a symmetric matrix that is invertible. This means that there exists a matrix B such that AB = BA = I, where I is the identity matrix. We want to show that B is also symmetric, that is, [tex]B = B^{T}[/tex]
To prove this, we can use the definition of matrix inversion. We know that AB = I, so we can take the transpose of both sides:
[tex]AB^{T} = I^{T}[/tex]
Using the transpose rules, we can rewrite this as:
[tex]B^{T} * A^{T}[/tex] = I
Now, we can multiply both sides of this equation by A:
[tex]B^{T} * A^{T}[/tex]* A = A
Since A is invertible, we can multiply both sides by A⁻¹ to get:
[tex]B^{T}[/tex] = A⁻¹
Therefore, we have shown that the inverse of a symmetric matrix A, which we denote as A⁻¹, is also symmetric, since A⁻¹ = [tex]B^{T}[/tex], which is the transpose of the matrix B.
Hence, we have proved that if a symmetric matrix is invertible, then its inverse is symmetric as well.
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Connie is buying snacks for a hike. She purchased a bag of trail mix for $6.98 and a large bottle of water for $2.15.
What was Connie's total bill?
Connie's total bill is sum of trail mix and water will be $9.13.
What is sum ?
In mathematics, the sum refers to the result of adding two or more numbers together. It is a basic arithmetic operation, often used in many different mathematical concepts and calculations. The symbol for addition is '+', and the sum of a set of numbers is often represented using the capital Greek letter sigma (∑).
According to the question:
Connie's total bill would be the sum of the cost of the trail mix and the cost of the water, which is:
Total bill = cost of trail mix + cost of water
Total bill = $6.98 + $2.15
Total bill = $9.13
Therefore, Connie's total bill was $9.13.
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how to convert 30cm to in?
30 centimeter is approximately equal to 11.8110 inches ( rounded to four decimal places )
To convert 30 cm to inches, we can use the following formula:
1 cm = 0.393701 inches
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in centimeter
Substitute the values in the equation
30 cm = 30 x 0.393701
Multiply the numbers
= 11.8110 inches ( rounded to four decimal places )
Therefore, 30 centimeter is 11.8110 inches
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translate each word phrases into a number phrase 1. Fifteen increased by twenty 2. The quotient of a number and 4 3. The difference of twice a number and 11 4. The product of two consecutive numbers 5. A number increased by 24 is equal to thrice 10 6. Twice a number is 84-8 7. Seven minus four times a number is 15
Answer:
Here is the answer.
Step-by-step explanation:
The translation of the phrases are written below,
Fifteen increased by twenty can be written as ,15 + 20. The quotient of a number and 4 can be written as x/4( where x is the number). The difference of twice a number and 11 can be written as 2x - 11, where x is the number. The product of two consecutive numbers can be written as n(n+1), where n is the smaller of the two consecutive numbers. A number increased by 24 is equal to thrice 10 can be written as x + 24 = 3*10, where x is the number. Twice a number is 84-8 can be written as 2x = 84 - 8, where x is the number. Seven minus four times a number is 15 can be written as 7 - 4x = 15, where x is the number.Ms. Baynes has $70 and spends $6 on each of y books.
Which inequality written in factored form represents the graphed region?
Answer:
Below
Step-by-step explanation:
The shaded area is the area GREATER than ('>') the graph (it is ABOVE the graph)
the two zeroes (where it crosses the x -axis) of the graph are - 6 and 18
so the parabola is y = (x+6)(x-18)
but we want the shaded region so it becomes y> (x+6)(x-18)
It is '>' because the shaded area DOES NOT INCLUDE the graph line (that is why it is a dashed line)
The area of a rectangular room in 150 square feet. If the length of one side of the room is 11feet, what is the perimeter of the room?
The perimeter of the room is approximately 49.272 feet.If the area of a rectangular room is 150 square feet, and one side of the room is 11 feet, we can find the length of the other side by dividing the area by the length of the known side:
Length × Width = Area
Width = Area ÷ Length
Width = 150 ÷ 11
Width ≈ 13.636 feet
Now that we know the length and width of the room, we can calculate the perimeter by adding up the length of all four sides:
Perimeter = 2 × Length + 2 × Width
Perimeter = 2 × 11 + 2 × 13.636
Perimeter ≈ 49.272 feet
Therefore, the perimeter of the room is approximately 49.272 feet.
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LLLLLLLLLLLLLLLLLLOSERRRRRRRRRRRRRRRRRRRRRRRRRRRRR (im quitting....)
Answer:
good for you
Step-by-step explanation:
:)
Answer;
the only LLLLLLLLLLLLLLLLLLOSERRRRRRRRRRRRRRRRRRRRRRRRRRRRR is you
Step-by-step explanation:
Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. a chessboard has 64 squares. george places 1 grain of rice on the first square, 2 grains on the second square, 4 grains on the third square, 8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares. once george has put rice on the 10th square, he has placed a total of____grains of rice on the chess board.
George has put rice on the 10th square, he has placed a total of 1,023 grains of rice on the chessboard.
What is geometric progression ?
A geometric progression, also known as a geometric sequence, is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number called the common ratio.
The general form of a geometric progression is:
[tex]a, ar, ar^2, ar^3, ...[/tex]
where:
a is the first term of the sequence
r is the common ratio between successive terms
Given by the question:
To find the total number of grains on the first 10 squares, we can use the formula for the sum of a geometric series, which is:
[tex]sum = a(1 - r^n) / (1 - r)[/tex]
where:
a is the first term (in this case, 1)
r is the common ratio (in this case, 2)
n is the number of terms (in this case, 10)
Using this formula, we can calculate the sum of the grains of rice on the first 10 squares as:
[tex]sum = 1(1 - 2^10) / (1 - 2)[/tex]
[tex]sum = 1(1 - 1024) / (-1)[/tex]
[tex]sum = 1023[/tex]
Therefore, once George has put rice on the 10th square, he has placed a total of 1,023 grains of rice on the chessboard.
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how to convert 168 lbs to kg?
On converting 168 lbs to Kilogram , we get that 168 lbs is equivalent to 76.188 Kg .
The conversion factors can be used to convert between pounds and kilograms. For example ;
To convert 1 pound to kilograms: We multiply the number of pounds by 0.4535 .
We have to convert 168 pounds to kilograms ;
So , we multiply the given weight in pounds with 0.4535 .
On multiplying ,
We get ;
⇒ 168 pounds = 168 × 0.4535 Kg ;
⇒ 168 pounds = 76.188 Kg .
Therefore , 168 lbs is approximately equal to 76.188 Kg .
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the hypergeometric distribution should be used instead of the binomial distribution when: a. each trial is independent b. there are more than two outcomes on a single trial c. there is a fixed number of trials d. sampling does not involve replacement
The hypergeometric distribution should be used instead of the binomial distribution. The correct option is d. Sampling does not involve replacement,
What is binomial distribution ?
The binomial distribution is a probability distribution that describes the probability of getting a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure.
The probability of getting exactly k successes in n trials with probability of success p is given by the formula:
[tex]P(k) = (n choose k) * p^k * (1 - p)^(n - k)[/tex]
where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items out of n, and is equal to:
[tex](n choose k) = n! / (k! * (n - k)!)[/tex]
where n! represents n factorial, which is the product of all positive integers up to n.
Given by the question:
The correct answer is d. sampling does not involve replacement.
Therefore, when sampling does not involve replacement, the hypergeometric distribution should be used instead of the binomial distribution.
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how to convert 250 ml to l?
250 milliliters is equal to 0.25 liter
The conversion factor to convert milliliter to liters is 0.001
Therefore, the equation will be,
1 ml = 0.001 liter
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The volume in liters = The volume in ml × conversion factor
Substitute the values in the equation
1 ml = 0.001 liters
250 ml = 0.001 × 250
Multiply the numbers
= 0.25 liters
Therefore, 250 ml is 0.25 liters
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