Answer:
\(x=8\sqrt{5}\)
Step-by-step explanation:
I will assume the following:
You know how to use the quadratic formulaYou know how to simplify radicalsYou know how to use the pythagorean theorem.The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.
Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)
Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.
Now with the big triangle. I will set up one last equation. See attachment 4.
Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.
the ratio of red to grern to blue sweets in a packet is 2:3:1. if there are 18 green sweets, how many blue sweets are there??
chicken was selling for nu 200 per kilogram. The shopkeeper raised the price by 5% what is the new price per kilogram?please show your method
Answer:
Chicken sells for 210 per kilogram.
Step-by-step explanation:
First, find 5% of 200:
5/100 × x/200
Cross multiply:
5 × 200 = 100× x
1000 = 100x
Divide both sides by 100
10 = x
Add 5% of 200 to the original price:
200 + 10 = 210
a brand of cereal had 1.2 1.21, point, 2 milligrams ( mg ) (mg)(, start text, m, g, end text, )of iron per serving. then they changed their recipe so they had 1.8 mg 1.8mg1, point, 8, start text, m, g, end text of iron per serving. what was the percent increase in iron?
Therefore, the percent increase in iron is 50%.
To calculate the percent increase in iron, we need to find the difference between the new and old iron content, divide it by the old iron content, and then multiply by 100 to get the percentage.
Old iron content: 1.2 mg
New iron content: 1.8 mg
Difference = New iron content - Old iron content
= 1.8 mg - 1.2 mg
= 0.6 mg
Percent increase = (Difference / Old iron content) * 100
= (0.6 mg / 1.2 mg) * 100
= 0.5 * 100
= 50%
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The scooter tire has a diameter of 32 cm. what is the circumference of the tire?
Let X1, X2, X3, and X4 be four independent random variables, each with pdf f(x) = 3(1 – x)?, 0 < x < 1, zero elsewhere. If Y is the minimum of these four variables, find the cdf and the p
The cumulative distribution function (CDF) for the minimum of four independent random variables with the given probability density function (PDF) f(x) = 3(1 - x), 0 < x < 1, zero elsewhere, can be expressed as (1 - 3(1 - y) + (3/2)(1 - y)^2)^4. To find the probability P(Y = y), subtract the CDF values at y and the previous value.
The CDF of Y is obtained by calculating the probability that all four variables (X1, X2, X3, and X4) are greater than a threshold value y. Using the properties of independent random variables, we can derive the CDF formula by substituting the given PDF into the equation.
To find the probability P(Y = y), subtract the CDF values at y and the previous value. This represents the probability of Y taking on a specific value y.
By applying these formulas, you can determine the CDF and probabilities for specific values of Y.
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Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6] is revolved about the x-axis. Set up the integral that should be used to find the volume of the solid. Use increasing limits of integration. (Type exact answers.) Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. A. The volume is cubic units. (Type an exact answer.) B. The volume does not exist.
The correct option is A. The volume is 6.77 cubic units
The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].
We want to find the volume of the solid of revolution when the region is rotated about the x-axis.
Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}
To set up the integral to find the volume of the solid of revolution, we can use the disk method.
We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.
The area of a disk is given by the formula: A = πr²
where r is the radius of the disk and is equal to f(x) in this case.
Therefore, the area of a disk is: A = πf(x)²
Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.
We have The integral that should be used to find the volume of the solid is given as:
V = ∫₁⁶ πf(x)² dx
We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.
We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx
Let u = x - 1, so that du/dx = 1 and dx = du.
When x = 1, u = 0, and when x = 6, u = 5.
Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.
The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.
Thus, the correct option is A. The volume is 6.77 cubic units.
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-9 + 3x < x + 3 how do I solve this?
Answer:
x<6Step-by-step explanation:
-9+3x<x+3
3x-x<3+9
2x<12
x<12/2
x<6
Katelyn ate ⅓ of an apple pie, and Chad ate ⅜ of the same pie. What fraction of the pie was eaten?
Answer:
17/24
Step-by-step explanation:
1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.
What is a number that both 3 and 8 go into? (If you don't know, then you can just multiply the numbers and use that as the denominator)3 x 8 = 24The new denominator is 24.2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.
For example, 3 divides into 24 a total of 8 times. So, multiply 1 by 8 to turn 1/3 into 8/24.Do the same for 3/8, except multiply it by 3 because 8 goes into 24 three times. This makes the fraction equal 9/24.3. Now that the denominators are the same, add the numerators and keep the denominator for now.
8/24 + 9/24 = 17/244. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.
suppose that a classroom has 4 light bulbs. the probability that each individual light bulbs work is 0.6. suppose that each light bulb works independently of the other light bulbs. what is the probability that none of the 4 light bulbs work?
The probability that none of the 4 light bulbs work is 2.56%.
As per the given information, the probability that an individual light bulb works is 0.6.
Therefore, the probability that it does not work (i.e., fails) is:
1 - 0.6 = 0.4
Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.
Calculated as,
P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)
P(none work) = 0.4 × 0.4 × 0.4 × 0.4
P(none work) = 0.0256
Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.
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Use the graph to answer the question.
Determine the direction and degree of rotation used to create the image.
90 counterclockwise rotation
90 clockwise rotation
270 counterclockwise rotation
180 clockwise rotation
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
what is degree of rotation ?When an item or form is rotated about a fixed point, generally the origin or a specified point in the plane, the amount of rotation that takes place is referred to as the degree of rotation. Angles are measured in degrees, where one full rotation equals 360 degrees. The amount of angle shift, expressed in degrees, that occurs when an item or shape is rotated is known as the degree of rotation. A shape has been turned a quarter of a full rotation anticlockwise, for instance, if it is rotated 90 degrees in that direction. Similar to this, a form has completed one-half of a full rotation if it is rotated 180 degrees.
given
The graph suggests that the image was rotated 90 degrees anticlockwise and in the other manner to make.
Compare the figure's initial placement (the grey triangle) to its final placement to see this (the red triangle).
One of the vertices on the grey triangle is pointing upward, and the other two are pointing to the right and left.
The red triangle's up-pointing vertex remains after the transformation, but the other two vertices now point down and up-left, respectively.
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
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What is 1/root 2
Give me that ans asap
Answer:
1/√2
Approximate numerical value
1/√2 = 0.707106781186548
---------------------------
Rationalize the denominator
(1/√2) * (√2 / √2) = √2 / 2
what is 45x3,679= what is the sum
Answer:
679
Step-by-step explanation:
HELPPP BRIANLESTTT MARK PLS
Answer:
See below.
Step-by-step explanation:
The answer is B. It has the same slope, but different y-intercepts. A system of equations that is parallel has no solution. This one is parallel.
-hope it helps
Answer:
B
Step-by-step explanation:
Im just putting this answer here so your able to mark the answer above me brainliest!
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location. He is charged a \( \$ 1000 \) fee for
Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.
He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.
The first step that Michael needs to take is to analyze the population data that he has.
Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.
Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.
This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.
However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.
Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.
Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.
In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.
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3) Whitten family has a party catered. They
leave a 20% tip on top of the $350 catering bill.
How much was the tip?
Answer: 70$
Step-by-step explanation: Hope this helps <3
all rectangles have 2 pairs of parallel sides. all squares are rectangles with 4 congruent sides.
part 1:
do all squares have 2 pairs of parallel sides? use the statement from above to help you explain your answer
part 2:
do all rectangles have 4 congruent sides? use the statements from above to help you explain your answer
Part 1: Yes, all squares have 2 pairs of parallel sides.
Part 2: No, not all rectangles have 4 congruent sides.
Part 1: This is because all squares are rectangles, and all rectangles have 2 pairs of parallel sides. Additionally, since all four sides of a square are congruent, this means that the two pairs of sides are also congruent, making them parallel.
Part 2: While all squares are rectangles with 4 congruent sides, rectangles can have two pairs of parallel sides that are not congruent. For example, a rectangle with a length of 5 units and a width of 3 units has two pairs of parallel sides, but they are not congruent.
One pair of sides is longer than the other pair. Therefore, the fact that all squares are rectangles with 4 congruent sides does not mean that all rectangles have 4 congruent sides.
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The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?
Answer:
\(S_g= 33.333cm\)
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
\(S_g=\frac{a(1-r^n)}{1-r}\)
Mathematically solving for total distance traveled we have
\(S_g=\frac{30(1-(0.10^5)}{1-(0.10)}\)
\(S_g=\frac{30}{0.9}\)
Therefore the total distance traveled by the pendulum after 5 swings
\(S_g= 33.333cm\)
u2+6u27=0(solve the equation) help
Answer:
u=0
Step-by-step explanation:
If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:__________
The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.
What is a type II error?A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.
It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.
How the type II error is related to the significance level?The relation between type II error and the significance level(α):
The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.Thus, if the significance level increases, the type II error decreases and vice-versa.From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.
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What is the area of this shape hurry
Answer:
15 units squared
Step-by-step explanation:
sorry if im wrong
Answer:
12
Step-by-step explanation:
Area of triangle + area of square + area of triangle = total area
(Area of a triangle: A = 1/2bh)
(Area of a square: A = bh)
Area of smallest triangle =
A = 1/2 (2) (2) = 2
Area of largest triangle=
A = 1/2 (2) (6) = 6
Area of the square =
A = 2 x 2 = 4
Total shape:
2 + 4 + 6 = 12
It is known that X has a uniform distribution with μ=0.5 minutes and σ=0.29 minutes. Suppose a random sample of 64 people is selected. The shape of the sampling distribution of X
ˉ is: Uniform Approximately Normal Normal not enough information to determine
In this scenario, the shape of the sampling distribution of X-bar is approximately normal.
The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.
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The ____ statement is useful when you need to test a single variable against a series of exact integer, character, or string values.
The "switch" statement is useful when you need to test a single variable against a series of exact integer, character, or string values.
The switch statement is a control structure found in many programming languages, including C++, Java, and JavaScript. It allows you to evaluate a variable or expression and compare it against multiple cases.
Each case represents a specific value that the variable or expression is tested against. When a match is found, the corresponding block of code associated with that case is executed.
The switch statement is particularly useful when you have a variable that can take on different values and you want to perform different actions based on those values. Instead of writing multiple if-else statements, the switch statement provides a more concise and efficient way to handle such scenarios.
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f=-N+B/m ????????????
*find x
26x-4=15x+24
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
croissants (a french pastry) are made by putting a layer of butter between two layers of dough, then folding repeatedly to make more layers.
The chilled dough is shaped into crescent shapes or other desired forms, proofed to allow for final fermentation, and then baked in a hot oven until golden brown and beautifully puffed.
Croissants, a delicious French pastry, are crafted through a process that involves layering butter between two layers of dough and then folding the dough repeatedly to create multiple layers.
The process of making croissants begins with a dough made from flour, water, yeast, sugar, salt, and sometimes milk. This dough is typically enriched to create a flaky and buttery texture. Once the dough is prepared, it is rolled out into a thin, rectangular shape.
Next comes the crucial step that gives croissants their distinct flaky layers: the incorporation of butter. A block of chilled butter is placed in the center of the rolled-out dough. The dough is then folded over the butter, completely enveloping it. This layering technique is what sets croissants apart from other pastries.
After enclosing the butter, the dough is carefully rolled out again, elongating it into a rectangular shape. The goal here is to evenly distribute the butter within the layers of dough. It's important to maintain the integrity of the butter layers to achieve the desired flakiness.
The rolling and folding process is repeated several times to create even more layers. This step, known as "turns," involves folding the dough into thirds, similar to folding a letter. Each turn multiplies the number of layers, resulting in a light and airy pastry. Traditionally, croissants undergo a minimum of three turns, but some recipes may require more.
Once the desired number of turns is completed, the dough is usually chilled to firm up the butter and allow the gluten to relax. This resting period helps the croissants retain their shape during baking and promotes further flavor development.
Finally, the chilled dough is shaped into crescent shapes or other desired forms, proofed to allow for final fermentation, and then baked in a hot oven until golden brown and beautifully puffed.
The labor-intensive process of layering butter between two layers of dough and folding repeatedly is what gives croissants their signature flaky texture and buttery taste. This meticulous technique has been perfected by French bakers over the years and has made croissants one of the most beloved pastries worldwide.
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–6 < 2x – 4 < 4 solve the inequality
Answer:
The answer is
\( - 1 < x < 4\)Step-by-step explanation:
\( - 6 < 2x - 4 < 4\)First of all add 4 to both sides of the inequality to make 2x stand alone
That's
\( - 6 + 4 < 2x - 4 + 4 < 4 + 4 \\ - 2 < 2x < 8\)Divide both sides of the inequality by 2 inorder to find x
That's
\( \frac{ - 2}{2} < \frac{2x}{2} < \frac{8}{2} \)We have the final answer as
\( - 1 < x < 4\)Hope this helps you
A farmer takes 1 day to fill 7 bins of corn. At this rate, how long will it take to fill 560 bins?
f(x) = -2(x²-x + 7) convert into standard form
Answer:
\(f(x) = -2x^2 + 2x - 14\)
10+10(x+3)=
\,\,-x-10(-x+1)
−x−10(−x+1)
The sοlutiοn tο the equatiοn is x=7.
What is Equatiοn?An equatiοn is an expressiοn that uses mathematical symbοls tο express the relatiοnship between twο οr mοre variables. Equatiοns are used tο describe physical laws, mοdel real-wοrld prοblems, and sοlve mathematical prοblems. Equatiοns can be written in a variety οf fοrms, frοm simple linear equatiοns tο cοmplex nοnlinear equatiοns. Equatiοns can alsο be used tο determine the prοperties οf certain functiοns and tο evaluate integrals.
Sοlving fοr x,
−10(−x+1)+10+10(x+3)=0
−10x+10−10x+10+100+30=0
−20x+140=0
20x=140
x=7
This equatiοn is an example οf a linear equatiοn. Linear equatiοns are equatiοns that invοlve οnly οne variable and can be represented in the fοrm ax + b = 0, where x is the variable and a and b are cοnstants. Linear equatiοns are useful fοr understanding the relatiοnship between different variables and can be used tο sοlve real-wοrld prοblems. In this equatiοn, the variable x is the unknοwn value that we are trying tο sοlve fοr. By rearranging the equatiοn and applying the apprοpriate algebraic οperatiοns, we were able tο sοlve fοr x. This is an example οf hοw linear equatiοns can be used tο sοlve real-wοrld prοblems.
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Solve for x in given expression.
10 + 10(x + 3) = −x −10(−x + 1)