A Venn diagram has been attached with the answer that shows the relationship among rhombuses, rectangles, squares, parallelograms, quadrilaterals, triangles, right triangles, equilateral triangles, and isosceles triangles.
To create a Venn diagram that shows the relationships among rhombuses, rectangles, squares, parallelograms, quadrilaterals, triangles, right triangles, equilateral triangles, and isosceles triangles, follow these steps:
1. Draw two overlapping large circles and label one as "Quadrilaterals" and the other as "Triangles".
2. Inside the "Quadrilaterals" circle, draw a circle and name it "Parallelograms".
3. Inside the "Parallelograms" circle, draw two more overlapping circles. Label one circle as "Rhombuses" and the other one as "Rectangles."
4. In the overlapping area between the "Rhombuses" and "Rectangles" circles, label it "Squares."
5. Inside the "Triangles" circle, draw two overlapping circles. Name one as "Right Triangles" and the other one as "Isosceles triangles".
6. Inside "Isosceles triangles", draw a circle named "Equilateral triangles".
The resulting Venn diagram will display the relationships among the mentioned shapes. Quadrilaterals include parallelograms (which include rhombuses, rectangles, and squares) and triangles (which include equilateral triangles, isosceles triangles and right triangles).
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what is 1+1 ? I need Help with this
Given data:
The given expression is 1+1.
The value of the given expression is,
\(1+1=2\)Thus, the value of 1+1 is 2.
Hurricanes are large storms that form over warm waters out in the ocean. hurricanes are associated with low-pressure regions in the atmosphere. how does the low pressure associated with a hurricane help them to grow big and powerful?
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.
An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.
The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.
A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.
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A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answer:
\(\huge\boxed{\text{B) } 22.5 \ \text{feet}}\)
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
\(90+41+x=180\) \(131+x=180\) \(x = 180-131\) \(x=49\)Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
\(\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}\) \(\text{sin}(49) = \frac{x}{\text{30}}\) \(30 \cdot \text{sin}(49) = x\)We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
Find the standard form for the equation of a circle (x - h)^2 + (y - k)^2 = r^2 with a diameter that has endpoints (-9, -10) and (3, -10). h = k = r =
The standard form of the circle is (x + 3)^2 + (y + 10)^2 = 36.
Given, the endpoints of the diameter of a circle are (-9, -10) and (3, -10).
We know that the midpoint of a diameter of a circle is its center, so let's find the midpoint of the given diameter:(midpoint) = [(x1 + x2)/2,
(y1 + y2)/2]= [( -9 + 3)/2, (-10 -10)/2]= [ -6/2,-20/2]= [ -3, -10]
Therefore, the center of the circle is (-3, -10).
We also know that the radius of the circle is half the length of the diameter, so the radius is:r = (1/2) * [sqrt{(3 - (-9))^2 + (-10 -(-10))^2}] = (1/2) * [sqrt{12^2}] = 6
So, the equation of the circle in standard form is: (x - h)^2 + (y - k)^2 = r^2(x - (-3))^2 + (y - (-10))^2 = 6^2(x + 3)^2 + (y + 10)^2 = 36
The standard form of the equation of the circle is (x + 3)^2 + (y + 10)^2 = 36.
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there are 25 students in a class. ignoring the year of birth, what is the probability that three of them were born in the same month?
Probability that three of them were born in the same month is 8.8737104e-21.
Total students present in class = 25.
What is the probability such that three of them were born in the same month?
Numerous applications can be made of the mathematical computation of probability. Probability can be used, for instance, to forecast sales growth or to estimate the likelihood that a particular marketing strategy would be successful in attracting new clients. The probability of something happening can also be calculated using mathematical formulas.
The probability that an event will occur is determined by probability:
P(A) = f / N = favourable outcomes/ total number of outcomes.
Probability and odds are related, but probability determines what the odds are. Probability is required before calculating the likelihood of an event.
we have total 12 months in a year.
total sample space for 25 students = 12^25
3 studnets were born in same month
3 have to choose 1 month we have 12 ways. to choose.
22 have to choose remaining 11 months 22C11
P(A) = 12*22C11/12^25
= 8465184/12^25
=8.8737104e-21
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What is the value of x?
sin 49° = COS X
Enter your answer in the box.
X =
Answer:
x = 41°
Step-by-step explanation:
Using the cofunction identity
sinx = cos(90 - x) , then
sin49° = cos(90 - 49)° = cos49°
with x = 41°
A rectangular piece of sheet metal has a length that is 6 inches less than three times the width. A square piece 3 inches on a side is cut from each corner. The sides are then turned up to form an uncovered box of volume 315 cubic inches. Find the length and width of the original piece of metal.
The answer is "The length of the original piece of metal is 15 inches and the width of the original piece of metal is 7 inches."
Let the width of the original piece of sheet metal be "w" and let its length be "l".Then, according to the statement provided by the problem,"A rectangular piece of sheet metal has a length that is 6 inches less than three times the width."Hence, we can write: l = 3w - 6
This is a linear equation in two variables (l and w).We are also told that square pieces of 3 inches are cut from each corner of the rectangular sheet. Therefore, after cutting the squares, the length of the new rectangular piece of sheet metal will be (l - 2(3)) and its width will be (w - 2(3))
i.e. subtracting twice the length of the squares from the length and width, respectively of the original rectangular piece of sheet metal.After this, the sides of the resulting rectangular piece are bent up to form a box, with volume of 315 cubic inches.
Therefore, we can write:V = length × width × height 315 = (l - 6) × (w - 6) × 3
However, since l = 3w - 6, we can substitute this expression for "l" in terms of "w" in the above equation to obtain:
315 = (3w - 6 - 6) × (w - 6) × 3315 = (3w - 12) × (w - 6) × 3
Thus, we have reduced the problem to a cubic equation in one variable "w".
By solving this equation we get:w³ - 15w² + 72w - 105 = 0We can find that one of its roots is w = 7 (which corresponds to the width of the original rectangular piece of sheet metal).Now we can use this value of "w" to find the corresponding value of "l".According to the expression l = 3w - 6, we get:l = 3(7) - 6 = 15
Therefore, the width of the original piece of sheet metal is 7 inches and the length is 15 inches. As we know that the length of the sheet is 6 inches less than three times the width, therefore, the width of the sheet metal will be 7 inches. Hence the length of the sheet metal will be 15 inches.
Let us verify whether the volume of the rectangular box is 315 cubic inches or not. As we know that the length of the rectangular box is 15 - 6 = 9 inches and the width is 7 - 6 = 1 inch and the height is 3 inches.Therefore, the volume of the box = length × width × height= 9 × 1 × 3= 27 cubic inches
We need to find the length and width of the original piece of metal, which is 15 and 7 inches, respectively. Hence, the answer is "The length of the original piece of metal is 15 inches and the width of the original piece of metal is 7 inches."
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What is a reflection rule that maps each triangle and its image?
The reflection rule is R(x,y)=(blank), where the equation of line t is (blank) .
(Simplify your answers.)
Answer:
The answer would be (5,5) the negative response would equal the the equivalent leading back to (5,5).
What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
evaluate 4a - 2b +c over 2 abc when a=5 b=-2 and c=1
Answer:
0.85
Step-by-step explanation:
4a-2b+c/2abc
where a=5,b=2,c=1
4(5)-2(2)+1/2×5×2×1
20-4+1/20
17/20
0.86
How to find a quadratic equation with y-intercept and vertex? Explain with examples.
To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.
To find a quadratic equation with the y-intercept and vertex, we can follow these steps:
Step 1: Identify the coordinates of the y-intercept. The y-intercept has the form (0, c), where c is the y-coordinate.Step 2: Identify the coordinates of the vertex. The vertex has the form (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation.Step 3: Substitute the coordinates of the y-intercept and vertex into the general form of the quadratic equation, y = ax^2 + bx + c.Step 4: Solve the resulting system of equations to find the values of a, b, and c.Step 5: Substitute the values of a, b, and c back into the general form of the quadratic equation to obtain the final equation.For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:
3 = a(0)^2 + b(0) + c
1 = a(-2)^2 + b(-2) + c
Simplifying these equations, we get:
c = 3
4a - 2b + c = 1
By substituting c = 3 into the second equation, we can solve for a and b:
4a - 2b + 3 = 1
4a - 2b = -2
2a - b = -1
By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:
y = x^2 + x + 3
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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.
Start with the standard form of a quadratic equation: y = ax^2 + bx + c, where a, b, and c are constants.Use the vertex form of a quadratic equation: y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.Substitute the vertex coordinates (h, k) into the equation to obtain the equation in vertex form.Use the y-intercept to find another point on the curve. The y-intercept has the form (0, c), where c is the value of y when x is zero.Substitute the coordinates of the additional point into the equation to obtain a system of two equations. Solve the system to find the values of a, b, and c.Substitute the determined values of a, b, and c into the standard form of the quadratic equation to obtain the final equation.Example:
Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).
Using the vertex form, we have y = a(x - 2)^2 - 1.Substituting the y-intercept coordinates, we get 4 = a(0 - 2)^2 - 1, which simplifies to 4 = 4a - 1.Solving the equation above, we find a = 1.Substituting the values of a and the vertex coordinates into the vertex form equation, we have y = 1(x - 2)^2 - 1.Expanding the equation and simplifying, we get y = x^2 - 4x + 3.The final quadratic equation with the given y-intercept and vertex is y = x^2 - 4x + 3.To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.
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The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars: 3, 5, 8, 12, 15, 20, 25
Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45
If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.
The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95
To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.
Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.
To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):
m = (C2 - C1) / (B2 - B1)
= ($48.45 - $6.65) / (25 - 3)
= $41.80 / 22
≈ $1.90
Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):
b = C - mB
= $6.65 - ($1.90 * 3)
= $6.65 - $5.70
≈ $0.95
Therefore, the linear model that represents the cost of any number of candy bars can be written as:
C = $1.90B + $0.95
This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.
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The cross section of a parabolic sound reflector at the Olympics has a diameter of 20 inches and is 25 inches deep. Write an equation that represents the cross section of the reflector with its vertex at ( ) 0, 0 and its focus to the left of the vertex.
Answer: 69
Step-by-step explanation: Sorry I do not know the answer because I am not smart. I just need the points so I can answer more questions. Have a great day though and I wish you luck with your question:)
Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $43.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $49.98 and costs an additional $0.12 per mile driven. How many miles would Mal need to drive for the two plans to cost the same?
Answer:
Mal would have to drive 300 miles to have both plans cost the same.
Step-by-step explanation:
Plan 1:
43.98+0.14X
Plan 2:
49.98+0.12x
Make the inequality: 43.98+0.14x = 49.98+0.12x
Subtract 43.98 from both sides of the equation.
0.14x = 6+0.12x
Subtract 0.12x from both sides of the equation.
0.02x = 6
Divide 0.02 from both sides.
x = 300
Hope this helps!
please help with question below
hi
Replace " n" by the value of column in right and check if it's work
Answer:
True
Step-by-step explanation:
To check, plug in the (n) values into the equation.
f(1) = 3(1) + 4 = 3 + 4 = 7
f(2) = 3(2) + 4 = 6 + 4 = 10
f(3) = 3(3) + 4 = 9 +4 = 13
f(4) = 3(4) + 4 = 12 + 4 = 16
The answer is true, because the equation outputs the correct values.
Hope this helps!
If a polynomial f(x) has a remainder of 3 when divided by x−4, what is f(4)?
Answer:
Dividend=Divisor×Quotient+Remainder
So, Applying it:−
Let q(x),k(x) be quotient when f(x) is divided by x−1 and x−2 respectively
⇒f(x)=(x−1)q(x)+5
∴f(1)=5 ..... (1)
Also,f(x)=(x−2)k(x)+7
∴f(2)=7 ..... (2)
Now, let ax+b be the remainder when f(x) is divided by (x−1)(x−2) and g(x) be the quotient.
f(x)=(x−1)(x−2)g(x)+(ax+b)
Using (1) and (2)
5=a+b ...... (3)
7=2a+b ...... (4)
Solving (3) and (4), we get
a=2 and b=3
∴2x+3 is the remainder when f(x) is divided by (x−1)(x−2).
Name the steps of solving 5x+4=40
Answer:
Step-by-step explanation:
Simplifying
5x + -4 = 40
Reorder the terms:
-4 + 5x = 40
Solving
-4 + 5x = 40
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 5x = 40 + 4
Combine like terms: -4 + 4 = 0
0 + 5x = 40 + 4
5x = 40 + 4
Combine like terms: 40 + 4 = 44
5x = 44
Divide each side by '5'.
x = 8.8
Simplifying
x = 8.8
How do you factor this problem? 3x(6x²-17x+12)
In the following polynomial,
3x(6x² - 17x + 12)
We have to factor the second term of the multiplication in order to have it completely factorized
Factoring 6x² - 17x + 12We want to factor it by grouping
Step 1
We split the middle term:
since
-17 = -9 -8, then
6x² - 17x + 12 = 6x² - 8x - 9x + 12
Step 2
We group into pairs:
6x² - 8x - 9x + 12 = (6x² - 8x) - (9x - 12)
Step 3
We factor each bynomial:
First bynomial 6x² - 8x:
Since
2 · 3 = 6
2 · 4 = 8
then
6x² - 8x = 2 · 3x² - 2 · 4x
We can observe that 2 · 3x² and 2 · 4x have two common factors: 2 and x. Then
6x² - 8x = 2x(3x - 4)
Second bynomial 9x - 12:
Since
3 · 3 = 9
3 · 4 = 12
then
9x - 12 = 3 · 3x - 3 · 4
We can observe that 3 · 3x and 3 · 4 have one common factor: 3. Then
9x - 12 = 3(3x - 4)
Step 4
We can replace the results found in the last step:
6x² - 17x + 12
= (6x² - 8x) - (9x - 12)
= 2x(3x - 4) - 3(3x - 4)
We observe that 2x(3x - 4) and 3(3x - 4) have a common factor: (3x - 4)
Then, we can factorise:
= 2x(3x - 4) - 3(3x - 4)
= (3x - 4)(2x - 3)
Therefore
6x² - 17x + 12 = (3x - 4)(2x - 3)
Using this we can replace in the original expression
Answer: 3x(6x² - 17x + 12) = 3x(3x - 4)(2x - 3)Bad Bunny o Darell??
Freę points
Answer:
ok
Step-by-step explanation:
A boat is heading towards a lighthouse, where Yaritza is watching from a vertical distance of 139 feet above the water. Yaritza measures an angle of depression to the boat at point AA to be 21^{\circ}
∘
. At some later time, Yaritza takes another measurement and finds the angle of depression to the boat (now at point BB) to be 50^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
The distance from an angle of depression to the boat at 21° to angle of depression of 50° is 112 feet
How to determine the required distanceInformation from the question
A boat is heading towards a lighthouse, where Yaritza is watching from a vertical distance of 139 feet
Yaritza measures an angle of depression to the boat at point AA to be 21°
Yaritza takes another measurement and finds the angle of depression to the boat (now at point BB) to be 50°
the distance from point AA to point BB = ?
The direction of movements describes a right triangle of
opposite = ?
adjacent = 139 feet
The distance is calculated using tan, TOA let the angle be x
tan x = Opposite / Adjacent
for x = 21 point AA is solved
tan 21 = ? / 139
? = 139 * tan 21
? = 53.357
for x = 50 point BB is solved
? = 139 * tan 50
? = 165.654
the distance from point AA to point BB
= 165.654 - 53.357
= 112.297
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in the graph of the simple linear regression equation, the parameter ß 1 is the _____ of the true regression line.
In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.
The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.
The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.
Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.
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According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the data within what number of standard deviations of the mean
The correct option is option a) One standard deviation.
According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the data within one standard deviations of the mean.
According to the empirical rule, the bell or mound-shaped distribution will have approximately 68% of the data within one standard deviation of the mean. This means that if the data is normally distributed, then about 68% of the data points will fall within one standard deviation above or below the mean.
Similarly, the empirical rule states that approximately 95% of the data will fall within two standard deviations of the mean, and about 99.7% of the data will fall within three standard deviations of the mean.
This means that if the data is normally distributed, then 95% of the data points will fall within two standard deviations above or below the mean, and 99.7% of the data points will fall within three standard deviations above or below the mean.
It is important to note that the empirical rule is based on the assumption that the data is normally distributed. If the data does not follow a normal distribution, then the empirical rule may not apply.
Therefore, the answer to the question is (a) One standard deviation, (b) Two standard deviations, and (c) Three standard deviations. Option (d) Four standard deviations and (e) Four standard deviations are not correct, and option (f) None of the above is partially correct as it excludes options (a), (b), and (c), but option (g) All of the above is not correct as options (d) and (e) are incorrect.
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Identify the number of solutions to 3x + 21 = 3(x + 7).
An equation can either have a solution, no solution or infinite many solution.
The equation has infinite many solutions.
The equation is given as:
\(\mathbf{3x + 21 = 3(x + 7)}\)
Open bracket
\(\mathbf{3x + 21 = 3x + 21}\)
Collect like terms
\(\mathbf{3x -3x = 21 - 21}\)
Evaluate like terms
\(\mathbf{0= 0}\)
There are no traces of variable x in the above equation, and the equation is true.
This means that: the equation has infinite many solutions.
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What is a decimal that is equivalent to the fraction 8/10
? Enter the answer in the box.
Answer:
0.8
Step-by-step explanation:
Answer:
.8
Step-by-step explanation:
PLS HELP FAST
At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The vendor sold 172 sodas and 58 hotdogs at the hockey game.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
let, the number of soda cans be 'x' and the number of hot dogs be 'y'.
So, From the given information x = 3y and the vendor sold a total of 232.
Therefore, x + y = 232.
3y + y = 232.
4y = 232.
y = 232/4.
y = 58.
So, He sold 58 hot dogs and 3×58 = 172 soda cans.
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Domain of y=5x+2 help!!!!
find the first four terms of the taylor series for the function 2x about the point a=1. (your answers should include the variable x when appropriate.)
The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).
What are the initial terms of the Taylor series expansion for (2x) centered at (a=1)?To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:
\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)
Let's calculate the first four terms:
Starting with the first term, we substitute
\(\(f(a) = f(1) = 2(1) = 2x\)\)
For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).
\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)
\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)
Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)
Since the second derivative is zero, the third term is zero.
Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)
Similarly, the fourth term is also zero.
Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:
(2x + 2x - 2)
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What is the solution for x in the equation? -x + 3/7 = 2x - 25/7
Answer:
x= 3/4 or 0.75
Step-by-step explanation:
multiply by 7
-7x+3= 14x-25
3=21x-25
28=21x
x=3/4
Answer:
x=4/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−x+3/7=2x+−25/7
Step 2: Subtract 2x from both sides.
−x+3/7−2x=2x+−25/7−2x
−3x+3/7=−25/7
Step 3: Subtract 3/7 from both sides.
−3x+3/7−3/7=−25/7−3/7
−3x=−4
Step 4: Divide both sides by -3.
−3x/−3=−4/−3
x=4/3
i don't know what this means someone help?????
Answer:
2
Step-by-step explanation:
so 10÷2=5 6÷2=3 3/5
that what u need?
Answer:
the answer would be 2
Step-by-step explanation:
Where can I find the online Arithmetic Sequence Calculator with Steps?
An online Arithmetic Sequence Calculator with Steps can be found online to help calculate the sequence and provid step-by-step instructions.
To calculate an arithmetic sequence with steps, first determine the common difference between consecutive terms. This is done by subtracting the value of any two consecutive terms in the sequence. Next, determine the first term in the sequence. This is done by writing out the sequence and finding the first number. Then calculate the nth term by using the formula nth term = a + (n – 1)d, where a is the first term and d is the common difference. Finally, calculate the sum of the first n terms of the sequence by using the formula S = ½ n (2a + (n - 1)d). This will give the sum of the first n terms.
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