Answer: No.
Step-by-step explanation: Unless I read and calculated wrongly, it should be equal to 2b^4/(a^3b^2c^2-2)a^4c^2 -1/256
The diagram shows a garden in the shape of a rectangle.
4 + 3x
The perimeter of the garden is 32 metres.
Work out the value of x
x+6
The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
The diagram is given below.
Given,
Perimeter of a rectangle = 2 (l + w), where l is the length and width.
Length of the rectangle = 4 + 3x
Width of rectangle = x + 6
Perimeter = 32 meters
Substituting,
2 (l + w) = 32
2(4 + 3x + x + 6) = 32
2(4x + 10) = 32
4x + 10 = 16
4x = 6
x = 6 / 4 = 3/2 = 1.5
Length = 4 + 3x = 8.5 meters
Width = x + 6 = 7.5 meters
Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.
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You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 7 ft. The base of the incline plane is 11 ft from the shelving unit. What is the length of the incline plane?
Answer:
We can use the Pythagorean theorem to solve this problem. Let's call the length of the incline plane "L". We know that the height of the shelving unit is 7 ft and the base of the incline plane is 11 ft. The hypotenuse of the right triangle formed by the incline plane, the floor, and the shelving unit will be the length of the incline plane. Using the Pythagorean theorem:
L^2 = 11^2 + 7^2
L^2 = 121 + 49
L^2 = 170
L = sqrt(170)
So the length of the incline plane is approximately 13.04 feet.
Please help its 10 points
For the given figure, the surface area of box is 436.95m².
What is Rectangle?A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighbouring sides.
The measurement of three-dimensional solids' surfaces the surfaces of three-dimensional solids, such as cubes, spheres, prisms, and pyramids, in
square or meter units, is known as Surface area.
Surface area of Square = side²
Surface area of Rectangle = Length x Breadth
Surface area of triangle = 1/2 × Base x Height
So,
Surface area of Square=
= 10² = 100m²
Surface area of Rectangle 1 =
= 11 x 9 = 99m²
Surface area of Rectangle 2 =
11 x 13.45 = 147.95m²
Surface area of Triangle =
= 1/2 x 10 x 9 = 45m²
So, Surface area of box = Surface area of Square + Surface area of
Rectangle 1+ Surface area of Rectangle 2 + Surface area of Triangle + Surface area of Triangle
= 100 + 99 + 147.95 + 45+ 45
= 436.95m²
Therefore, Surface area of the box is 436.95m².
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You are decorating a parade float for a Cinco de Mayo parade. The area of the entire parade float is 192 square feet.
What is the area covered by paper flowers?
9 ft (x+12) ft x ft 5 ft
The area covered by paper flowers is square feet.
The area covered by paper flowers is; 45 square feet.
How to find the area of the rectangle?The formula for area of a rectangle is;
Area = Length * width
Parameters of the parade float are;
Length = 9 + x + 12 = (x + 21) ft
Width = (x + 5) ft
Since entire area is 192 sq.ft, then;
(x + 5)(x + 21) = 192
x² + 5x + 21x + 105 = 192
x² + 26x - 87 = 0
Using online quadratic equation calculator gives;
x = 3
Thus;
Length of paper flower = x + 12 = 3 + 12 = 15 ft
Width of paper flower = 3 ft
Area of paper flowers = 15 * 3 = 45 square feet.
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From the diagram below, if AC = 27, CD = 9, and DB = 3, then what would be the length of AB?
As a result of answering the question, we may state that triangle Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.
What precisely is a triangle?Since a triangle has four or so more sections, it is a polygon. It has an easy rectangular form. Triangle ABC refers to a rectangle with edges A, B, and C. A single plane and cube are produced by Euclidean geometry when the sides are really not collinear. A triangle is a polygon if it has 3 components and three angles. Where a triangle's three edges come together are known as the corners. A triangle's sides add up to 180 degrees.
A+B plus D > A (1)
Applying this to triangle ADC, we get the following:
A + C > A (2)
AC equals 27, CD equals 9, and BD equals 3. Equation (2) may be used to determine AD:
[tex]A + C > A\\27 + 9 > AD\\36 > AD[/tex]
So, we are aware that AD is lower than 36. We may now find AB using equation (1):
[tex]A+B plus D > A\\AB + 3 > AD\\AB + 3 > 36\\AB > 33[/tex]
Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.
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please please please help
The amount of time it would take for Mr. Smith's rocket to return to the ground is 8 seconds.
How to determine the time when the rocket would hit the ground?Based on the information provided, we can logically deduce that the height (h) in meters, of this rocket above the ground is related to time by the following quadratic function:
h(t) = -16t² + 128t
Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:
0 = -16t² + 128t
16t² = 128t
16t = 128
Time, t = 128/16
Time, t = 8 seconds.
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Solve for x In the triangle. Round your answer to the nearest tenth.
47°
X =
Answer:
x=5.4Step-by-step explanation:from TOAtan47°=x/5to find x;
cross multiply
x=5tan47°
x=5×(1.07236871002)
x=(5.36184355012)
to the nearest tenth
x=5.4
a tent that usually sells for $220 is on sale for 15% off what is the sale price
Answer:
Step-by-step explanation:
$220.00x .15 = $187.00
please help look at this image
The answer is D ( 1/3 cup dish soap)
Answer: D
explanation: i'm not good at explaining stuff
In a right triangle, the length of one leg is 4 units. The length of the other leg is 10 units. What is the length of the hypotenuse? A. B. C. D.
Which equation demonstrates the distributive property?
Responses
A 15 x 40 = 40 x 1515 x 40 = 40 x 15
B (3 + 8)5 = 5(3 + 8)(3 + 8)5 = 5(3 + 8)
C 15 + 40 = 5515 + 40 = 55
D 15 + 40 = 5(3 + 8)
none of them
c cc c c c c c c c c c c c c c c c c
2
Ling's savings account increases by 1% every month from interest. He
deposits x dollars into his account. Select all of the expressions that
represent the amount of money in his account after the interest is paid for
the third month. 7.EE2
x(125)(125)(125)
x(10025)(10025)(10025)
(1.25)³x
3(10025)x)
x(1+0.25)(1+0.25)(1+0.25)
(10025)
x(0.0025)(0.0025)(0.0025)
(1+0.0025)(x)(1+0.0025)(1+0.0025) 3(1.25)(x)
After the third year, the amount in his account would be -
A{3} = $(125x/64).
What is interest?Interest is calculated as a percent of the principal.
Given is that Ling's savings account increases by {1/4}% every month from interest. He deposits {x} dollars into his account.
After the first year, the amount in his account would be -
A{1} = x + x/4 = (5x/4)
A{1} = $(5x/4) ... Eq { 1 }
After the second year, the amount in his account would be -
A{2} = (5x/4) + (1/4)% of (5x/4)
A{2} = 5x/4 + 5x/16
A{2} = (1/4)(5x + 5x/4)
A{2} = (1/4)(25x/4)
A{2} = $(25x/16) ... Eq { 2 }
After the third year, the amount in his account would be -
A{3} = (25x/16) + (1/4) of (25x/16)
A{3} = (25x/16) + (25x/64)
A{3} = (1/16)(25x + 25x/4)
A{3} = (1/16)(125x/4)
A{3} = $(125x/64) ... Eq { 3 }
Therefore, after the third year, the amount in his account would be -
A{3} = $(125x/64).
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A spinner is divided into six equal parts numbered 1, 2, 3, 4, 5, and 6. In a repeated experiment, Ryan spun the spinner twice. The theoretical probability of both spins being odd numbers is 9/36.
If the experiment is repeated 140 times, predict the number of times both spins will be odd numbers.
140
70
36
35
If the experiment is repeated 140 times, the number of times both spins will be odd numbers, 35.
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The theoretical probability of both spins being odd numbers is 9/36.
This means that, if the spinner was spun an infinite number of times, 9 out of every 36 spins would result in both spins being odd numbers.
In the repeated experiment, Ryan spun the spinner 140 times.
This means that, based on the theoretical probability, we can expect the number of times both spins will be odd numbers to be approximately
= 140 x 9/36
= 35
The answer is 35, with the expectation that the actual number of times both spins will be odd numbers in 140 trials may not be exactly 35.
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The following points represent a relation where x represents the independent variable and y represents the dependent variable.
Does the relation represent a function? Explain.
Yes, because for each output there is exactly one input
Yes, because for each input there is exactly one output
No, because for each output there is not exactly one input
No, because for each input there is not exactly one output
Answer:
No, because for each input there is not exactly one output
Step-by-step explanation:
Each input, x-coordinate, must have one and only one output (y-coordinate) to be a function.
Since 3/4 is used as an x-coordinate twice, the input 3/4 has two different outputs, -2 and -1/2. That means this relation is not a function.
Answer: No, because for each input there is not exactly one output
Answer: is A
Step-by-step explanation:
The scale on a map is 5 centimeters = 75 kilometers. Two lakes on the map are located 8.1 cm apart. What is the actual distance between the two lakes?
Answer:
If 5 centimeters on the map represent 75 kilometers in the real world, then we can use proportion to find the actual distance between the two lakes.
Let x be the actual distance between the two lakes in kilometers. Then we can set up the following proportion:
5 cm / 75 km = 8.1 cm / x km
To solve for x, we can cross-multiply:
5 cm * x km = 75 km * 8.1 cm
Simplifying:
5x = 607.5
x = 121.5 km
Therefore, the actual distance between the two lakes is 121.5 kilometers.
values showing on the dice.
(a) How many sample points are possible? (Hint: use the counting rule for multiple-step experiments.)
(b) List the sample points.
a) For a single roll of a standard six-sided dice, there are 6 possible outcomes.
b) Sample points for rolling a dice twice are:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
a) If we want to find the number of sample points for multiple rolls of a dice, we use the counting rule for multiple-step experiments, which states that if an experiment consists of k steps and there are n1 possible outcomes for the first step, n2 possible outcomes for the second step, and so on, then the total number of possible outcomes for the experiment is:
n1 x n2 x ... x nk
For example, if we roll a dice twice, then there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll. Therefore, the total number of possible outcomes for rolling a dice twice is:
6 x 6 = 36
b) Here are the sample points for a single roll of a standard six-sided dice:
1, 2, 3, 4, 5, 6
Here are the sample points for rolling a dice twice:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Each sample point consists of two values, representing the outcomes of the first and second rolls, respectively. The sample points are written in parentheses and separated by commas.
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The top of a square coffee table has an area of
64x48x + 9. What is the perimeter of the
tabletop?
What is the difference between percent error and percent different?
The difference between percent error and percent difference is that percent error is used to measure the accuracy of a predicted value compared to the actual value, while percent difference is used to compare two values to determine how much they differ from each other.
Percent error is calculated using the formula:
Percent error = (|actual value - predicted value| / actual value) x 100
Percent difference is calculated using the formula:
Percent difference = (|value 1 - value 2| / ((value 1 + value 2)/2)) x 100
In summary, percent error is used to measure the accuracy of a prediction or measurement, while percent difference is used to compare two values and determine how much they differ from each other.
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the Cost of stamps depends on the number of slaves purchase because the cost why for example is represented by the equation Y equals 0.49X graph the function unit function table
Answer:
Step-by-step explanation:
I'm sorry, but I'm having trouble understanding your question. Could you please clarify what you mean by "the cost of stamps depends on the number of slaves purchase because the cost why"? It's important to provide clear and accurate information in order for me to provide a helpful response. Thank you!
14/w = 8.4/5
Solve the proportion
The value of w is given by the proportion w = 8.333
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
14 / w = 8.4 / 5
Multiply by w on both sides of the equation , we get
w ( 8.4 / 5 ) = 14
Multiply by 5 on both sides of the equation , we get
8.4w = 70
Divide by 8.4 on both sides of the equation , we get
w = 70 / 8.4
w = 8.333
Hence , the equation is w = 8.333
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A juice drink contains 100 oz of concentrated juice and water, and is 28%
concentrated juice. If the drink is to be weakened to 20%, how much water must be added?
Actually answer. I will, and have, reported for people faking the asnwer or not answering at all. Please.
Answer: We need to add 40 ounces of water to the 100 oz of concentrated juice and water to obtain a new mixture that is 20% concentrated juice.
Step-by-step explanation:
We can begin by setting up an equation based on the given information.
Let's say we need to add x ounces of water to the 100 oz of concentrated juice and water to obtain the new 20% mixture.
The amount of pure juice in the original 100 oz mixture is 28% of 100 oz, which is 0.28(100) = 28 oz.
After x ounces of water are added, the total volume of the mixture becomes 100 + x oz. The amount of pure juice remains the same at 28 oz. We want to find the amount of water that needs to be added to reach a concentration of 20%.
Setting up the equation:
0.20(100 + x) = 28
Expanding and simplifying:
20 + 0.20x = 28
0.20x = 8
x = 40
Answer:
143
Step-by-step explanation:
100 oz is 28 % of the drink
So total volume of the drink = 357 oz.
A drink that of 100 oz juice and is 20% juice has a volume of 500 oz.
So, we need to add 500 - 357
= 143 oz water.
2. Find the length of the hypotenuse.
45°
3√2
The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The measure of one angle of right-angle is 45°. Then the right triangle is an isosceles right-angle triangle.
Then the hypotenuse is given by the sine of angle 45°. Then the equation is given as,
sin 45° = 3√2 / H
1/√2 = 3√2 / H
H = 3√2 x (1 / √2)
H = 3 units
The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.
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I need Help Quick!!!
Answer:
150-200
Step-by-step explanation:
Ms. Jancsi bought a new package of border decoration to put around the bulletin board in her classroom. The package contains 300 inches of border. The dimension of rectangle bulletin board are 8 feet b 3 feet. If she puts the board around all four sides of the bulletin board, how much leftover bulletin material will she have
Answer:
36in
Step-by-step explanation:
1ft = 12in
8ft = 96in 3ft = 36in
96*2 + 36*2 = 192 + 72 =264in
300-264=36
The graphs of three functions are shown. Which accurately compares the functions on the graph?
1. All of the functions have a maximum
2. The square root and quadratic function share a minimum
3. The absolute value and quadratic function share a y-intercept
4. the absolute value and square root function share an x-intercept
The correct statement regarding the functions in this problem is given as follows:
4. the absolute value and square root function share an x-intercept
What is the x-intercept of a function?The x-intercept of a function is given by the value of x at which the graph of the function crosses the x-axis, that is, when x = 0.
Both the square root function (yellow) and the absolute value function (red) cross the x-axis, hence the correct option is given by option 4.
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How many pages is 3,000 words?
In Single spaced pages 3000 words will be in 6 pages and in Double Spaced pages 3000 words will be in 12 pages.
3,000 words equates to approximately 6 single-spaced A4 pages and 12 double-spaced A4 pages. This assumes normal 1 - inch margins and standard fonts such as Times New Roman or Arial at 12 pt.
Adjusting certain settings in a text editor or using other layout software can greatly affect the appearance of your final text. Many journal articles are around 3,000 words in length, as are student essays and lengthy blog posts. You may also be interested in the fact that adults can read about 3,000 words in 10 minutes.
3000 words in Single spaced Pages:
3000 words is 6 pages. A standard single-spaced page contains 500 words.
3000 words in Double Spaced page:
3000 double spaced words make up 12 pages. Teachers may ask you to double-space your essay to make it easier to read and add comments/reviews. A standard double-spaced page contains 250 words.
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it takes 8.93 seconds for a train to travel 4 yards. How far does it take the train to travel 1 yard
Answer:
2.2325 seconds
Step-by-step explanation:
We know
It takes 8.93 seconds for a train to travel 4 yards.
How far does it take the train to travel 1 yard?
We take
8.93 divided by 4 = 2.2325 seconds
So, it takes the train 2.2325 seconds to travel 1 yard.
What is the lateral surface area of the triangular prism shown below?
Responses
40 cm2
150 cm 2
170 cm2
170 cm 2,
190 cm
The lateral surface area of the triangular prism shown below is C.170 cm².
How can the lateral surface area of the triangular prismbe calculated?The concept that will be used here is triangular prism breakdown and calculation.
We can break down the triangular prism so as to make it simpler as :
We have (2 triangles) as well as ( 2 side rectangles) and (1 back rectangle)
We can calculate the area of triangle as ( ¹/₂ * base * height)
= (¹/₂ * 5 * 4)
=10cm
We can calculate the area of rectangle as ( length * width)
=(10 * 5)
=50
Then the Area of trapezoid = 2(10) + 3(50)
=20 + 150
= 170 cm²
Therefore, option C is correct.
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How to calculate coefficient of variation?
Answer:
Step-by-step explanation:
The coefficient of variation (CV) is a measure of the relative variability of a set of data. It is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. The formula for calculating the CV is as follows:
CV = (Standard Deviation / Mean) * 100%
Here's how to calculate the CV step by step:
Calculate the mean: To find the mean, add up all the data points and divide by the number of data points. This will give you the average value of the data set.
Calculate the standard deviation: The standard deviation is a measure of the variability of a set of data. To calculate it, subtract each data point from the mean and square the result. Then add up the squared deviations and divide by the number of data points minus one. Finally, take the square root of the result to obtain the standard deviation.
Calculate the CV: Finally, divide the standard deviation by the mean and multiply by 100% to obtain the CV.
The CV is a useful measure when comparing data sets with different units of measurement or when comparing the variability of data sets with different means. It gives an indication of the degree of variation in the data set relative to the mean, with higher CV values indicating a higher degree of variability.
It is important to note that the CV should not be used to compare data sets with very different means, as it can be misleading in such cases. In those cases, it is better to use the standard deviation or other measures of variability.
Show how you get each answer (show work) on number 1 and 2 (Lesson 2.05)
What is the measurement of ∠1 if g∥h? (2pts) (this one does not need work shown
What is the measurement of ∠3 if g∥h? (2pts) need work shown
please help
The measure of the angle ∠1 and ∠3 is 90°
What are lines and angles?The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.
Since g and h are parallel lines cut by the transversal i, we know that alternate interior angles are congruent. Therefore, the measurement of ∠1 is equal to the measurement of ∠3. We do not need to show any work to answer this question.
Since g and h are parallel lines cut by the transversal j, we can see that ∠3 and ∠5 are corresponding angles, and ∠5 and ∠6 are vertical angles. Therefore, ∠3 and ∠6 are congruent. Since ∠3 and ∠6 forms a linear pair, their sum is 180 degrees. Thus, we can set up an equation:
∠3 + ∠6 = 180
Substituting ∠6 for ∠3, we get:
∠3 + ∠3 = 180
Simplifying, we get:
2∠3 = 180
Dividing both sides by 2, we get:
∠3 = 90°
Therefore, the measurement of ∠3 is 90 degrees.
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1000000000000000000000000000
Step-by-step explanation:
are u also MS hitsman?