The interval over which the function is continuous equation is (-∞, 3) U (3, +∞).
The function f(x) = (x2 - 5x - 6)/(x - 3) is continuous over all real numbers except x = 3, since the denominator is equal to 0 at x = 3.
We can use the properties of combinations of continuous functions to determine the interval(s) over which the function f(x) is continuous equation.
First, we need to consider the function f(x) in two parts. The first part is f(x) when x ≠ 3, and the second part is when x = 3.
For the first part, when x ≠ 3, the function f(x) is continuous over all real numbers, since both the numerator and denominator are continuous over all real numbers.
For the second part, when x = 3, the function f(x) is discontinuous, since the denominator is equal to 0.
Therefore, the interval over which the function f(x) is continuous is (-∞, 3) U (3, +∞).
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How much water do you add to make each concentration? 25% sugar using 15 g sugar
Answer:
You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.
Step-by-step explanation:
To make a 25% sugar solution, you need to add a certain amount of water to 15 grams of sugar. To determine this amount, you can use the following formula:
(desired concentration / 100) x total volume = amount of solute (in this case sugar)
We know that the desired concentration is 25%, and the amount of solute is 15 grams. To find the total volume, we can use the following formula:
amount of solute / desired concentration = total volume
15 grams / 0.25 = 60 grams
So the total volume of the solution is 60 grams, and the amount of water you need to add to make a 25% sugar solution using 15 grams of sugar is 45 grams.
You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.
Another way to think of it is to add 3 times the amount of water as the amount of sugar, since 25% of 60g is 15g
A coffee shop is having a sale on prepackaged coffee and tea. Yesterday they sold 34
packages of coffee and 27 packages of tea, for which customers paid a total of $420. The day
before, 41 packages of coffee and 45 packages of tea was sold, which brought in a total of
$606. How much does each package cost?
Polynomial equations are those created by combining variables, exponents, and coefficients.The cost of coffee is 8 and the cost of tea is 4.
How much does each package cost?The higher exponent, known as the degree of the equation, might have several exponents.
When there is at least one algebraic term with at least one variable and all of the exponents are integers that are equal to or larger than zero, the equation is said to be a polynomial equation.
Coffee cost = Rs 8
Tea cost = Rs 4
Let the price of coffee be X
and the price of Tea be y , then
45 x + 41 y = 524
20 x + 11y = 204
y = 524 - 45 x /41=
= 20 x + 11( 524 -45 x)/41)
= 204
820 x + 5764- 495 x = 204* 41
325x = 2600
x = 8 y = 524 - 8* 45/45
y = 4
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Polynomial equations are those created by combining variables, exponents, and coefficients. The cost of coffee is 8 and the cost of tea is 4.
How much does each package cost?The higher exponent, known as the degree of the equation, might have several exponents.
When there is at least one algebraic term with at least one variable and all of the exponents are integers that are equal to or larger than zero, the equation is said to be a polynomial equation.
Coffee cost = Rs 8
Tea cost = Rs 4
Let the price of coffee be X
and the price of Tea be y , then
45 x + 41 y = 524
20 x + 11y = 204
y = 524 - 45 x /41=
= 20 x + 11( 524 -45 x)/41)
= 204
820 x + 5764- 495 x = 204* 41
325x = 2600
x = 8 y = 524 - 8* 45/45
y = 4
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Angie bought a shirt that was priced at $16.50. She paid $18.82 at the counter. Find the tax rate.
Answer:
The price: 16.5
The total payment: 18.82
The amount of tax: 18.82-16.5 = 2.32
Tax rate = The amount of tax / The price = 2.32/16.5 = 0.14 = 14%
Sai buys $12,500 worth of music equipment. He finances his purchase
at a 2.5% simple interest rate and sets up a 24-month payment plan.
How much interest will Sai pay?
The amount of interest Sai will pay is $312.50.
What is intrest?Interest is the cost associated with borrowing money, or the return earned for lending money. It is typically expressed as a percentage of the principal amount borrowed or lent, and is usually paid periodically over the life of the loan. Interest can also be earned from investments, such as savings accounts, bonds, and other financial instruments. The rate of interest charged or earned varies depending on the nature of the loan or investment, the risk associated with the transaction, and the creditworthiness of the borrower or investor.
This is calculated by multiplying the principal amount of $12,500 by the interest rate of 2.5%, which equals 0.025. Then, the 0.025 is multiplied by the loan period of 24 months to come up with the total interest. Therefore, $12,500 x 0.025 x 24 = $312.50.
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Here is a probability scale: 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 If I flip a coin, place a cross on the probability scale to show the probability of getting a head.
Answer:
0.5
Step-by-step explanation:
If you flip a coin, the probability of getting a head is 0.5 or 0.5 on the probability scale.
It is worth noting that when a coin is fair, the probability of getting a head or a tail is always 0.5 or 50%.
So in the probability scale you should place a cross on the point 0.5 which indicates the probability of getting a head.
the length of a rectangular platform is 2 feet longer than three times its width. The area of the platform is 56 square feet. Write a polynomial that represents the area of the platform
Answer
The area of the platform :
56 = (3x+2) × x
Explanation (+ solving for x)
Let the width of Rectangular Platform is x feet.
Then,
Length of Rectangular Platform is (3x+2) feet
Area of Rectangular Platform = Length × width
[tex]56=(3x+2) × x \\ 56 = 3x² + 2x \\ 3x² +2x-56= 0 \\ x = \frac{ -2±\sqrt{ {2}^{2} - 4 \times 3 \times ( - 56)} }{2 \times 3} \\ = \frac{-2± \sqrt{4 + 672} }{6} \\ = \frac{ - 2±26}{6} \\ = - \frac{28}{6} or \: 4 [/tex]
Since x can't be negative,
Value of x is 4 feet.
So, width of Platform= 4
feet Length of Platform = 14 feet
Use the four intervals shown. I. (0, 2) II. (0, 2]III. [0, 2) IV. [0, 2]Based on the extreme value theorem, on which interval must the function f(x) = xhave both a maximum and minimum value?O IO IIO IIIO IV
Each interval (a, a), [a, a), and (a, a] represents the empty set, whereas [a, a] denotes the singleton set {a}
What do you meant by interval?
The empty set is represented by the intervals (a, a), [a, a), and (a, a, while the singleton set an is denoted by [a, a]. All four notations are often taken to denote the empty set when a > b. Both notations may be used in conjunction with other mathematical parentheses and brackets.For instance, in analytic geometry, linear algebra, and set theory, the notation (a, b) is frequently used to represent an ordered pair, the coordinates of a point or vector, or (sometimes) a complex number.Bourbaki created the notation]a, b[to signify the open interval for this reason. For ordered pairings, the notation [a, b] is also occasionally used, particularly in computer science.a ) [0, 2]
The empty set is represented by the intervals (a, a), [a, a), and (a, a, while the singleton set an is denoted by [a, a].
b ) iv
If a function f(x) is continuous on a closed interval [ a, b], then f(x) has both a maximum and minimum value on [ a, b].
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Ben scores 50 runs more than Chris in a cricket match if Chris scores x runs how much is ben score
Can you give me the step by step explanation too
Answer:
x+50
Step-by-step explanation:
I hope it helps
thanks
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A. Yes, because the sum of the relative frequencies is 1.00.
B. Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с. No, because the values are negative and normal models are used for positive values.
D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E. No, because the sample size and the population parameters are not known.
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
Interval Relative Frequency
−0.34≤x<−0.31 0.02
−0.31≤x<−0.28 0.15
−0.28≤x<−0.25 0.33
−0.25≤x<−0.22 0.36
−0.22≤x<−0.19 0.11
−0.19≤x<−0.16 0.03
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
According to the question,
The values that are one standard deviation away are:
0.33 + 0.36 = 0.69
As per the empirical rule, the value will be: 0.68
Consequently, with two standard deviations, the quantities have always been 0.95, and according to the empirical rule. So the empirical rule followed by the data.
Therefore the correct option is (B).
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The complete question includes :
The mean and standard deviation of the sample data collected on continuous variable x, x are −0.25 and 0.03, respectively. The following table shows the relative frequencies of the data in the given intervals.
the number of hours of sunlight in a particular location s(t) can be modeled by the function where t is the number of days after january 1st. (that is, t
After solving the function S(t) = 12 + 2 sin [(2π)/(365)t], the amount of sunlight becomes 12 hours for the first time is obtained as option B: t = 365/2.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The given function is -
S(t) = 12 + 2 sin [(2π)/(365)t]
Here, t is the number of days after 1st January.
S(t) is the number of hours of sunlight in a particular location.
In order to figure out when the amount of sunlight becomes 12 hours for the first time, substitute the value of S(t) = 12 and solve the function for t -
S(t) = 12 + 2 sin [(2π)/(365)t]
12 = 12 + 2 sin [(2π)/(365)t]
Simplifying the equation to get the result -
0 = 2 sin [(2π)/(365)t]
0 = sin [(2π)/(365)t]
π = (2π)/(365)t
Simplify the equation further -
365π = 2πt
t = 365π/2π
t = 365/2
Therefore, the value for t is obtained as t = 365/2.
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The number of hours of sunlight in a particular location S(t) can be modeled by the function S(t) = 12 + 2 sin [(2π)/(365)t], where t is the number of days after January 1st. (That is, t = 0 means January 1st.) After how many days will there be 12 hours of sunlight for the first time during the year?
365 over 4 days
365 over 2 days
1095 over 4 days
1095 over 2 days
The following dot plots show the numbers of people per table at a bingo hall on two nights. Each
dot represents one of the 20 tables.
●●
H
H
0 1 2 3 4 5 6 7 8 9
People per table Tuesday
H
+
0 1 2 3 4 5 6 7 8 9
People per table Wednesday
Compare the typical number of people per table.
In general, there were more people per table on Select day
Select typical number of people ✓
per table.
with
In general, there were more people per table on Tuesday with 8 number of people per table.
What is a dot plot?In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.
By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.
In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.
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The new bookcase for your future dorm room has the dimensions of 24 in. wide by 12 in. deep by 36 in.
tall. If one average textbook has the dimensions of 8.5 in wide by 11 inches long by 1.5 in. tall, how
many books could you fit on your bookshelf with no shelving?
On solving the provided question, we can say that since it is a cuboid books could you fit on your bookshelf = 24*12*36/8.5*11*1.5 = 10368/140.25 = 73.9251336898 = 73 books
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
since it is a cuboid
books could you fit on your bookshelf = 24*12*36/8.5*11*1.5 = 10368/140.25 = 73.9251336898 = 73 books
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Mr.
Comey is selling books. He sells hardcover books for $4 each and paperback books for $2
each. If he sold 8 books and made $26, how many of each type did Mr. Comey sell?
Answer:
5 hardcover and 3 paperback books
Step-by-step explanation:
h=hardcover books
p=paperback books
h + p = 8 ==> since the number of hardcover and paperback books add up
to 8 total books
4h + 2p = 26 ==> since the cost of each hardcover book is $4 and
the cost of each paperback book is $2, and the
total cost of all 8 books bought is $26
(h + p = 8) * 2 ==> multiply the equation by 2 to get 2p from p.
2h + 2p = 16 ==> simplify
4h + 2p = 26
- (2h + 2p = 16)
4h-2h + 2p-2p = 26-16 ==> subtract the two equations to isolate h
2h + 0 = 10 ==> simplify
2h = 10
h = 5 ==> divide both sides by 2
5 + p = 8 ==> substitute h=5 into the equation h + p = 8
p = 3 ==> subtract 5 on both sides to isolate p
Hence, 5 hardcover and 3 paperback books were sold.
Find the slope and y-intercept (if possible) of the equation of the line. (If an answer does not exist, enter DNE.)
y − 6 = 0
The slope of the equation of the line is 0 and the y-intercept is 6. To find the slope and y-intercept of the equation of the line, we need to first rewrite the equation in the standard form of y = mx + b.
The slope of the equation of the line is 0 and the y-intercept is 6.
Slope: 0
y-intercept: 6
To find the slope and y-intercept of the equation of the line, we need to first rewrite the equation in the standard form of y = mx + b.
In this equation, m is the slope and b is the y-intercept.
The equation is given as y − 6 = 0.
We can rewrite this equation as y = 0 + 6.
This can be rewritten as y = 0x + 6, where 0 is the slope and 6 is the y-intercept.
Therefore, the slope is 0 and the y-intercept is 6.
The slope of the equation of the line is 0 and the y-intercept is 6.
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On January 1st, the temperature in St Petersburg was -7°C and the temperature in Rome was 15°C. The temperature in Reigate was exactly halfway between St Petersburg and Rome. What was the temperature in Reigate?
To find the temperature in Reigate, which is halfway between St. Petersburg and Rome, we need to find the average of the two temperatures.
Average = (Temperature1 + Temperature2) / 2
Average = (-7 + 15) / 2 = 8 / 2 = 4
So, the temperature in Reigate was 4°C.
Answer:
4°C
Step-by-step explanation:
Try drawing it on a number line and counting 11 from -7° C and 11 from 15°C you'll end up with 4°C as the middle
in each of problems 1 through 4 show that the given differential equation has a regular singular point at x =0 and determine two for x >0.
A regular singular point is a point at which the differential equation has a non-removable singularity. The point x=0 is a regular singular point for problems 1-4. Two solutions for x>0 can be found by solving the differential equation around x=0.
A regular singular point is a point at which the differential equation has a non-removable singularity. In order to identify a regular singular point, we must first identify the point at which the equation has a non-removable singularity. For problems 1-4, the point x=0 is a regular singular point. To find two solutions for x>0, we can solve the differential equation around x=0. First, we must identify the coefficients of the equation, which will allow us to determine the order of the equation. Once we have determined the order, we can use the properties of regular singular points to find two solutions for x>0. For example, the equation may be of the form y' + P(x)y = Q(x), where P(x) and Q(x) are functions of x. Using the properties of regular singular points, we can solve for two solutions of the form y = x^r*F(x), where F(x) is a function of x and r is the order of the equation.
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The following scenario represents a proportional relationship.
Jerome's dry cleaning fee was $19.50 for 3 pairs of pants.
What is the constant of proportionality?
Answer:
6.5
Step-by-step explanation:
Proportional relationship:
[tex]y \propto x \implies y=kx[/tex]
where k is the (non-zero) constant of proportionality.
To determine the constant of proportionality, substitute the given values into the equation and solve for k:
x = 3y = 19.50[tex]\implies 19.50=3k[/tex]
[tex]\implies k=6.5[/tex]
Therefore, the constant of proportionality is 6.5.
If packages of shredded cheese in the refrigerator case are lined up in 7 rows with 8 packages of shredded cheese in each row, how many packages of shredded cheese are there all together?
Using multiplication operation, the total number of packages of shredded cheese is 56.
What is multiplication operation?Multiplication operation is one of the four basic mathematical operations, including subtraction, division, and addition.
Multiplication operation has the following parts: multiplicand (the number being multiplied), the multiplier (the number doing the multiplication), the equal symbol, and the product (the result of the multiplication operation)
The number of rows = 7
The number of packages of shredded cheese per row = 8
The total number of packages = 56 (7 x 8)
Thus, the number of packages in the refrigerator is 56 shredded cheese.
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use the following for the first two problems. Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.)
18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77
(a) Find the percentile of 37. 14/32= .4375
44 th percentile
(b) Find the percentile of 71 27/32=.8437?
I get the 1st one but can't seem to get the 2nd, i come up with 27/32 but the computer doesn't agree can anyone help?
Similarly, 27 out of the 32 ages are equal to or less than 71, so the percentile of 71 is 27/32, which is equal to 84.375%. This means that 84.375% of the Academy. Award winning best actors are 71 years old or younger.
The percentile of a number is the percentage of numbers that are equal to or less than that number. In this case, 27 out of the 32 ages are equal to or less than 71, so the percentile of 71 is 27/32, which is equal to 84.375%. This means that 84.375% of the Academy Award winning best actors are 71 years old or younger.
The percentile of a number is the percentage of numbers that are equal to or less than that number. For example, among the 32 Academy Award winning best actors, 37 is the 14th smallest number, so the percentile of 37 is 14/32, which is equal to 43.75%. This means that 43.75% of the Academy Award winning best actors are 37 years old or younger. Similarly, 27 out of the 32 ages are equal to or less than 71, so the percentile of 71 is 27/32, which is equal to 84.375%. This means that 84.375% of the Academy Award winning best actors are 71 years old or younger.
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in the figure below, there are three right triangles. complete the following. (a)write a similarity statement relating the three right triangles. (b)complete each proportion.
The three right triangles are all similar. The ratios of the sides of the triangles are AB/BC = 3/4, BC/CD = 2/3, and AD/DC = 5/6.
a) All three of the right triangles are similar.
b) Triangle ABC: AB/BC = 3/4
Triangle BCD: BC/CD = 2/3
Triangle ADC: AD/DC = 5/6
a) All three of the right triangles are similar because they all have three sides and two angles that are equal.
b) To find the ratios of the sides of the triangles, we use the Pythagorean Theorem.
Triangle ABC: AB^2 + BC^2 = AC^2. Therefore, AB/BC = (3/4)^2/(5/4)^2 = 3/4.
Triangle BCD: BC^2 + CD^2 = BD^2. Therefore, BC/CD = (2/3)^2/(4/3)^2 =2/3.
Triangle ADC: AD^2 + DC^2 = AC^2. Therefore, AD/DC = (5/6)^2/(7/6)^2 = 5/6.
The three right triangles are all similar. The ratios of the sides of the triangles are AB/BC = 3/4, BC/CD = 2/3, and AD/DC = 5/6.
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Among all the vectors in Rn whose components add up to 1, find the vector of minimal length. In the case n=2, explain your solution geometrically.
The unit circle has a radius of 1, so it is the shortest distance from the origin to (x1,x2).
The vector of minimal length in Rn whose components add up to 1 is called the unit vector. The unit vector is calculated by dividing each component of the vector by the sum of all components. Thus, in Rn, the unit vector is given by (x1/s, x2/s, ..., xn/s), where s is the sum of all components.
In the case n=2, the unit vector is given by (x1/s,x2/s). Geometrically, this vector is the vector from the origin to the point (x1,x2) on the unit circle. This vector has minimal length because the unit circle has a radius of 1, so it is the shortest distance from the origin to (x1,x2).
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Lana has 4 bags with the same amount of marbles in them, totaling 14 marbles. Markus has 4 bags with the same amount of marbles in them, totaling 20 marbles. How many more marbles does Markus have in each bag?
Answer:
Lana: 4 / 14 = 3.5
Markus: 4 / 20 = 5
I'm not completely sure how they can have the same amount of marbles for both of them but... Markus does have 2.5 more than Lana in each bag.
Hope this helps <3
Step-by-step explanation:
Let's call the number of marbles in each bag "x". We can set up two equations based on the given information:
4x = 14 (for Lana)
4x = 20 (for Markus)
Solving for x in each equation, we get:
x = 14/4 = 3.5 (for Lana)
x = 20/4 = 5 (for Markus)
So Markus has 5 marbles in each bag, which is 1.5 more marbles per bag than Lana.
Find the value of c ( x + 1 ) factor of the polynomial p ( x ) = 5 x 4 + 7 x 3 − 2 x 2 − 3 x + c
Step-by-step explanation:
I think the actual equation you meant to write was 5x⁴ + 7x³ - 2x² - 3x + c.
You're going to equate the whole equation to 0 and replace x for -1( because x + 1 is a factor)
= 5(-1)⁴ + 7(-1)³ - 2(-1)² - 3(-1) + c = 0
= 5 - 7 - 2 + 3 + c = 0
= - 1 + c = 0
Therefore c = 1
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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Review: geometry are the lines represented by the equations at right parallel? support your reasoning with convincing evidence. homework help
Yes, the lines represented by the equations at right are parallel. This can be seen by examining the slopes of the equations. The slope of the first equation is -3/5 and the slope of the second equation is -3/5. Since the slopes are equal, the lines are parallel.
To determine if two lines are parallel, we need to compare their slopes. The equation of the first line is y = -3x/5 and the equation of the second line is y = 5x/3. To calculate the slope of the first line, we need to take the coefficient of x (-3/5) and divide it by the coefficient of y (1).
The resulting slope is -3/5. To calculate the slope of the second line, we need to take the coefficient of x (5/3) and divide it by the coefficient of y (1). The resulting slope is also -3/5. Since the slopes of both lines are equal, the lines are parallel.
The equation of the first line is y = -3x/5 and the equation of the second line is y = 5x/3. To calculate the slope of the first line, we need to take the coefficient of x (-3/5) and divide it by the coefficient of y (1).
The resulting slope is -3/5. To calculate the slope of the second line, we need to take the coefficient of x (5/3) and divide it by the coefficient of y (1). The resulting slope is also -3/5. Since the slopes of both lines are equal, the lines are parallel.
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A counter records people entering a fast-food restaurant. The data below shows the number of customers that enter the restaurant for each two-hour period starting at 8:00 am. Estimate the rate at which the customers are entering the store at 5:00p.m. (t=9). Use correct units (3 pts.) Hours after 8:00 am 0 2 4 6 8 10 12 Number of Customers 0 21 42 36 | 14 | 58 23
The rate of customer entry into the store at 5:00 p.m. (t = 9) is -3 customers/hour.
What is meant by fraction?In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
A fraction is a part of a whole number, and a way to split up a number into equal parts. It is written as the number of equal parts being counted, called the numerator, over the number of parts in the whole, called the denominator.
Given the number of patrons entering the restaurant every two hours beginning at 8:00 am.
To find the rate of customer entry into the store at 5:00 p.m. (t = 9).
[tex]$\frac{36-42}{6-4}=\frac{-6}{2}=-3$[/tex]
Therefore, the rate of customer entry into the store at 5:00 p.m. (t = 9) is -3 customers/hour.
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Maureen spends 4 hours editing a 3 minute long video.
At this rate, how long will it take Maureen to edit a 9 minute long video?
Enter your answer in the box.
hours
Answer:
hi
Step-by-step explanation:
Find the indicated real nth root(s) of a.
n = 2, a = 400
Root: ?
Answer:
20 or +-20
Step-by-step explanation:
They are asking for an nth root. This is generic-speak for square root, third root, fourth root, etc.
Since n is 2, they are talking about 2th root...really 2nd root. But we commonly call that square root.
Square root of 400 is 20. (That's the principal square root because its positive) They asked for real roots, so, technically -20 is also a square root of 400.
20^2 = 400 and
(-20)^2 = 400
So square root of 400 is +- 20.
Or if this is an intro class, then just 20 is probably a good enough answer.
what are tangible items sold by retailers called
Answer:
A tangible asset is an asset that has physical substance. Examples include inventory, a building, rolling stock, manufacturing equipment or machinery, and office furniture. There are two types of tangible assets: inventory and fixed assets.
Step-by-step explanation:
4x-y=3 6y=4+2x solve by substitution
Using the substitution method the equation 4x - y = 3 and 6y = 4 + 2x is solved to be
x = 1y = 1How to solve the equation using substitution methodIn this method, the equation 4x - y = 3 will first be written in terms of y
4x - y = 3
y = 4x - 3
substituting y = 4x - 3 into 6y = 4 + 2x
6y = 4 + 2x
6(4x - 3) = 4 + 2x
24x - 18 = 4 + 2x
collecting like terms
24x - 2x = 18 + 4
22x = 22
x = 1
substituting x = 1 into y = 4x - 3
y = 4x - 3
y = 4(1) - 3
y = 4 - 3
y = 1
Learn more about substitution method at:
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