Answer:
the slope is m=-4/3
Step-by-step explanation:
plz mark brainliest
A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .
What is the mean of the following set?
94, 254, 308, 102
A.
118
B.
164
C.
189.5
D.
211
Answer:
C) 189.5
Step-by-step explanation:
Add all the numbers together then divide by 4.
The mean of the given set is 189.5. The correct answer is C.
What is arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
To find the mean (average) of a set of numbers, you need to sum all the numbers and then divide the total by the count of numbers in the set.
For the given set: 94, 254, 308, 102
Mean = (94 + 254 + 308 + 102) / 4
Mean = 758 / 4
Mean = 189.5
Therefore, the mean of the given set is 189.5.
The correct answer is C. 189.5.
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prove that the sum of three consecutive cubes is always divisible by 9
The sum of three consecutive cubes is always divisible by 9. This can be proven by analyzing the patterns of consecutive cubes and their divisibility by 3.
To prove that the sum of three consecutive cubes is always divisible by 9, let's consider the cubes of consecutive numbers. The cube of any integer can be expressed as either a multiple of 3 or as a number that leaves a remainder of 1 when divided by 3.
When we sum three consecutive cubes, the possible combinations are (3k + 1) + (3k + 2) + (3k + 3), or (3k + 2) + (3k + 3) + (3k + 4), where k is an integer. In both cases, we can observe that each term is divisible by 3. Thus, the sum of three consecutive cubes will always be divisible by 3, and since 9 is a multiple of 3, it will also be divisible by 9.
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Find the lateral surface area of the figure.
The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.
The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated instead of the radius, we have to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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X-1 if x < 2 Let f(x)=1 if 2sxs6 X+4 if x > 6 a. Find lim f(x). X-+2 b. Find lim f(x). X-6 Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. lim = X-2 O B. The limit is not - oo or co and does not exist. Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. lim = X-6 OB. The limit is not - oor oo and does not exist.
a. The limit does not exist.
b. The limit is equal to 4.
a. To find the limit as x approaches 2, we need to evaluate the left-hand and right-hand limits separately and check if they are equal.
Left-hand limit: lim f(x) as x approaches 2 from the left
We have f(x) = x - 1 for x < 2. So, as x approaches 2 from the left, f(x) approaches 1.
Right-hand limit: lim f(x) as x approaches 2 from the right
We have f(x) = 1 for 2 ≤ x ≤ 6 and f(x) = x + 4 for x > 6. So, as x approaches 2 from the right, f(x) approaches 6.
Since the left-hand and right-hand limits are not equal, the limit as x approaches 2 does not exist.
b. To find the limit as x approaches 6, we need to evaluate the left-hand and right-hand limits separately and check if they are equal.
Left-hand limit: lim f(x) as x approaches 6 from the left
We have f(x) = 1 for 2 ≤ x ≤ 6 and f(x) = x + 4 for x > 6. So, as x approaches 6 from the left, f(x) approaches 1.
Right-hand limit: lim f(x) as x approaches 6 from the right
We have f(x) = x + 4 for x > 6. So, as x approaches 6 from the right, f(x) approaches 10.
Since the left-hand and right-hand limits are not equal, the limit as x approaches 6 does not exist.
Therefore, the correct choices are:
a. The limit is not -oo or co and does not exist.
b. lim = 4.
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how many different ways can five types of bread be displayed on a grocery store shelf?
Answer:
120
Step-by-step explanation:
There are 5 ways to choose the first spot, 4 ways to choose the second spot (because we already used one), and so on and so forth.
5*4*3*2*1=120
Therefore, the answer is 120.
Feel free to tell me if I did anything wrong! :)
There are 120 different ways to display five types of bread on a grocery store shelf. This calculation is based on the concept of permutations, where the order of arrangement matters.
To determine the number of different ways to display the five types of bread on the shelf, we can use the concept of permutations. In this case, the order of arrangement matters because each type of bread occupies a distinct position on the shelf.
The number of permutations of a set of objects can be calculated using the formula:
P(n, r) = n! / (n - r)!
Where n represents the total number of objects and r represents the number of objects to be selected for each arrangement.
In this scenario, we have five types of bread to be displayed on the shelf. Therefore, n = 5. Since we want to display all five types, we need to arrange all of them, so r = 5 as well.
Plugging these values into the permutation formula, we get:
P(5, 5) = 5! / (5 - 5)!
= 5! / 0!
= 5! / 1
= 5 * 4 * 3 * 2 * 1
= 120
Therefore, there are 120 different ways to display the five types of bread on the grocery store shelf. This means that the store has a variety of options for arranging and presenting the bread to customers, allowing for different visual arrangements and product placement strategies.
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Solve for a
ab + c = d
c
—-
a= b+ d
b
——-
a= (c+d)
(d-c)
a= ———
b
Answer:
A
Step-by-step explanation:
just took the test
Find the expected value E(X) of a random variable X having the following probability distribution. (Enter your answer to two decimal places.)
E(X) =
x −9
−7
−5
−3
−1
1
P(X = x) 0.16 0.11 0.14 0.17 0.10 0.32
Expert Answer
The expected value E(X) = -9(0.16) - 7(0.11) - 5(0.14) - 3(0.17) - 1(0.10) + 1(0.32) = -1.26.
To find the expected value E(X) of a random variable X with a given probability distribution, we multiply each possible value of X by its corresponding probability and sum them up.
In this case, we have the values -9, -7, -5, -3, -1, and 1, with their respective probabilities of 0.16, 0.11, 0.14, 0.17, 0.10, and 0.32.
To calculate E(X), we multiply each value by its probability and sum the results:
E(X) = (-9)(0.16) + (-7)(0.11) + (-5)(0.14) + (-3)(0.17) + (-1)(0.10) + (1)(0.32) = -1.26.
Therefore, the expected value E(X) of the random variable X is -1.26.
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x + 2y = 9
2x - y = 8
(5,2)
(1,4)
(4,-1)
(5, -2)
which one is it?
Answer:
(5,2)
Step-by-step explanation:
when you plug them in they appear true!
The surface area of a cylinder is 82 pie square meters. If the dimensions are tripled, what is the surface area of the new cylinder?
A. 246 meters squared
B. 492 meters squared
C. 738 meters squared
D. 984 meters squared
Answer:
C;) 738m^2
Step-by-step explanation:
For some reason, Brainly keeps saying that the question I'm asking hurts their feelings though I am just typing out the question from the screenshot. please take a look
There is part A and Part B.
Based on the information in the graph, we can infer that the area of the three triangles is the same. In this case the area would be 45 cm².
How to calculate the area of triangles?To calculate the area of the triangles we must calculate the area of one of them taking into account that all three have the same dimensions. According to the above, we must apply the following formula:
a = b * h / 2Then we must replace the values of the base and the height:
a = 9 * 10 / 2a = 90 / 2a = 45So the area of the triangles would be 45cm.
Note: This question is incomplete. Here is the complete information:
question
What is the area of the triangles?
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Avi's dining room measures 124 square feet and is in the shape of a square. Which is the best estimate of the length of
one side of the room, to the nearest tenth of a foot?
O 10.7 feet
O 10.9 feet
O 11.1 feet
O 11.4 feet
Answer: Option C is correct
11.1 feet
Step-by-step explanation: Area of the square(A) is given by:
Find the Maclaurin series of f(x), up to and including the term in x 3.Note: The Maclaurin series of a function f(x) is its Taylor series about x=0. If you think that the answer is 1+x 2+x 3+…, just enter 1+x ∧2+x ∧3.
The Maclaurin series of f(x), up to and including the term in x^3, is 1 + x^2 + x^3.
The Maclaurin series of a function f(x) is the Taylor series expansion of the function centered at x=0. It is obtained by finding the derivatives of f(x) at x=0 and evaluating them at subsequent powers of x.
To find the Maclaurin series of f(x) up to x^3, we need to calculate the derivatives of f(x) up to the third order and evaluate them at x=0.
Since the question specifies up to and including the term in x^3, we only need to consider the constant term 1, the term x^2, and the term x^3. Higher-order terms will not be included.
Therefore, the Maclaurin series of f(x) up to and including the term in x^3 is 1 + x^2 + x^3. This means that the approximation of f(x) using this series will be valid up to the third-order term.
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Volume Formulas: (Fill-in) Rectangular Prism Sphere = Cylinder = Cone = Triangular Prism =
The following are the formulas for the equired figures:
Rectangular Prism = l·w·h
l: length
w: width
h: height
Sphere = 4/3 ·π·r³
r: radius
Cylinder = π·h·r²
h: height
r: radius of the base
Cone = 1/3·π·r²·h
r: radius of the base
h: height
Triangular prism = 1/2·b·h·l
h: height
l: length
b: base
Help I don't understand.
The graph of the function showing the asypmtote is attached
Graphing the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = (1/4)^x - 5
Set the radical to 0
So, we have
f(x) = 0
This represents the asypmtote
The graph has no integer solution because the base is a fraction
See attachment for the graph
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Find the area of the rectangle and the triangle independently. What is the ratio comparing the area of the triangle to the area of the rectangle? (Must be in Reduced Form)
Answer:
hello your question is incomplete attached below is the complete question
answer : 2
Step-by-step explanation:
Area of rectangle = \((\frac{b}{h}) (\frac{h}{2})\)
Area of triangle = \(\frac{1}{2}bh\)
therefore the ratio of the area of the triangle to the area of the rectangle
= \(\frac{\frac{1}{2} bh}{\frac{b}{2}*\frac{h}{2} }\) = 2
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
1. There are infinite black and white dots on a plane. Prove that the distance between one black dot and one white dot is one unit.
Answer:
Between each black and white dot equals 1 unit because there are infinite dots, meaning that each dspace between the dots would equal 1 unit.
Step-by-step explanation:
If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.
Answer:
y = 2
Step-by-step explanation:
Y varies indirectly with x (as x gets bigger, y gets smaller)
You have to find k, the constant of proportionality.
y = \(\frac{k}{x}\)
Plus in the x & y values you are given
58 = \(\frac{k}{9}\) Multiply both sides by 9 to solve for k
k= 522
Now plug in the new value of x to solve for y
y = \(\frac{522}{261}\)
y = 2
Which characteristic of data is a measure of the amount that the data values vary?.
Variation is characteristic of data is a measure of the amount that the data values vary.
What is variation?
Variation is a measure of how spread out the data is around the center of the data.
The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set. Variance is often depicted by this symbol: σ
The coefficient of variation is a more representative measure of dispersion than the previous ones, because it is an abstract number.
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When 4a-a is simplified it’s equivalent to
Answer: 3a
Step-by-step explanation: 4a - 1a = 3a
Light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a lightsource. The relationship in intensities for subjects at different distances from the same source canbe likewise seen as a ratio or proportional relationship.I x 1 1A proportional relationship can be mathematically expressed as follows for light intensity (I) inlumens when a subject is at the light source.=Lumens at origin or sourceSo, if a light intensity (I) is 569 lumens at the source, what is the light intensity (I) at 9 distancefrom the source,?Round the value to the nearest tenth if necessary. You do not need to include a label for lumens.Only the number, rounded to the tenth, will be necessary.
ANSWER
The light intensity is 7.0
STEP-BY-STEP EXPLANATION:
What to find? The value of the proportionality constant.
Given parameters
• Light intensity = 569 lumens
,• Distance = 9
According to the question, Light intensity (I) is proportional to the inverse square of the distance.
This can be expressed mathematically as
Let the intensity of light be represented as I
Let the distance be represented as d
\(I\text{ }\propto\text{ }\frac{1}{d^2}\)The next thing is to introduce a constant k
\(\begin{gathered} I\text{ = }\frac{K\cdot\text{ 1}}{d^2} \\ I\text{ = }\frac{K}{d^2} \end{gathered}\)Recall that,
I = 569 lumens
d = 9
The next thing is to substitute the parameters into the above formula
\(\begin{gathered} \frac{Lumens\text{ at current distance}}{\text{Lumens at origin or source}}\text{ = }\frac{1}{d^2} \\ \frac{\text{Lumens at current distance}}{\text{5}69}\text{ = }\frac{1}{(9)^2} \\ \frac{\text{Lumens at current distance}}{\text{5}69}\text{ = }\frac{1}{81} \\ \text{Cross multiply} \\ 569\cdot\text{ }1\text{ = Lumens at current distance }\cdot\text{ 81} \\ \text{Divide both sides by 81} \\ \frac{569}{81}\text{ = }\frac{Lumens\text{ at current distance }\cdot\text{ 81}}{81} \\ \text{Lumens at current distance = 7.0} \end{gathered}\)What is the midpoint between (-5, -4) and (5,−3)
find a · b. |a| = 5, |b| = 4, the angle between a and b is 30°.
The value of a · b is 10√3.
How to find the value of a · b?To find the value of dot product a · b, we need to use the formula:
a · b = |a| * |b| * cos(θ)
where |a| and |b| are the magnitudes of vectors a and b respectively, and theta is the angle between them.
Given that |a| = 5, |b| = 4, and the angle between them is 30°, we can plug in these values into the formula:
a · b = |a| * |b| * cos(θ)
a · b = 5 * 4 * cos(30°)
To evaluate the cosine of 30°, we can use the fact that it is a special angle and its cosine value is √3/2. Therefore:
a · b = 5 * 4 * √3/2
a · b = 10 * √3
So, the value of a · b is 10√3.
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For the equation shown below, solve for \( y \) as a function of \( x \) and express the result in function notation. Use \( f \) for the name of the function. \[ -12 x+4 y=32 \] The function is
The function that represents the given equation is:
f(x) = 3x + 8
The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.
Adding 12x to both sides, we get 4y = 12x + 32.
To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.
Hence, the function that expresses y as a function of x is:
f(x) = 3x + 8.
Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.
In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.
Therefore, the function that represents the given equation is:
f(x) = 3x + 8
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Help me understand this and what is right!!!!! Brainliest.
Answer:
the first one
Step-by-step explanation:
Think of it this way. If it needs to be greater than -11, that means there is some kind of restraint. that would be in this situation, its under a square root. if you plug in -11, it should equal 0, so it has to be x+11 under square root. The second one wouldn't work since that would make it square root of -22 and thats imaginary, same thing with all the others, when you plug in -11, the last 3 would come negative. the first one is the only one that cancels the negative and gives you 0
Answer:
4 and i cant help u understand it
Step-by-step explanation:
A new health drink has 150% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
There are mg of the vitamin in the drink.
Alg1 S1-3 USA OL FY21
Question: 1-15
Ifp and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
The product pq is irrational.
The product pt is irrational.
The quotient
is irrational
0 The product st is irrational.
The quotient is rational.
Previous
Pause
Answer:
The product st is irrational.
The product pt is irrational.
Step-by-step explanation:
Let p = 3/4 and q= 5/9
Now multiplying these two non zero rational numbers
3/4 (5/9)= 15/36 ( this is also a rational number)
An irrational number is one which cannot be expressed in the form of p/q where p and q are integers( in the form of a simple expression) like the rational number.
Now let the two irrational numbers s and t be √3 and √5
Now multiplying the two irrational numbers we get
st = √3 √5
st =√15 ( this is also an irrational number)
√15 cannot be expressed in the form of a simple fraction.
Now multiplying pt
3/4 * √5= 3√5/4 ( this is also irrational)
In a perfectly symmetrical bell-shaped "normal" distribution
a) the arithmetic mean equals the median.
b) the median equals the mode.
c) the arithmetic mean equals the mode.
d) All the above.
The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.
If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.
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If a 1 = −3 and a n = −2an − 1, what is the fifth term of the sequence?
Answer:
d
Step-by-step explanation:
o
Step-by-step explanation:
There's on;ly one way I know of that this can be done.You must start at a1 and work your way up to a5
a1 = -3n that's given
a2 =