pls pls pls graph 4x + 3y = 12

a) a square has 4 right angles and all 4 sides are the same lengths

b) not sure, I'll edit later when and if I know

c) isosceles triangle

Answer: option c

Answer:A

Step-by-step explanation:

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

8

Step-by-step explanation:

I am not sure if that is correct but....

40/5=8

Step-by-step proving:

8*4=32

40-32=8

*I was proving my answer not explaining that much and the title is cringy*

Answer:

x = 42º

Step-by-step explanation:

We know that m < UVY is equal to 84º (Given)

We know that < UVY = < SVW (Vertical Angles Theorem)

By substituting in the known values for the anges, we know that:

< UVY = < SVW

84º = 2x

Simplify the equation by dividing by 2 on both sides.

x = 42º

Hope this helps! Let me know if you have any questions!

Solution given:

<UVY=2x[vertically oppisite anglle]

x=84/2=42° is your answer

Answer:

-12 ÷ 4 = -3

Step-by-step explanation:

The word quotient means answer after dividing so pratically you're dividing. Thus:

-12  ÷ 4 = -3

The answer is -3 because when dividing a negative and positive number the answer is always a negative number.

HOPE THIS HELPED

The expression which describes the total number of candies distributed to the students is given by xy.

The total amount of candy that each student received from Ms. Russell would be given as the product of the candies that each student received with the total number of students who were present in the class. Hence, the multiplication method can help in the determination of the total number of candies easily.

Total number of students in the class of Ms. Russell = x students

x = 7 students

Number of candies that each student received = y candies

y = 23 candies

Total number of candies distributed to all the students = xy

Therefore, the Total number of candies distributed to all the students = 23×7 = 161 candies

Thus, all the students together received 161 candies from their teacher.

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A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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Step-by-step explanation:

y = 4x+3

2x-3y = 21

2x -3(4x+3) = 21

2x -12x -9 = 21

-10x = 21 + 9

-10x = 30

x = -3

Answer:

so there is a 5% change of or ordering a large cold drink

Step-by-step explanation:

first add the total of all drinks

5+48+22+8+12+5=100

the amount of large drinks that are cold are 5

so there is a 5% change of ordering a large cold drink

(a) If x ⊂ y and x ⊂ z, then x ⊂ y ∩ z, (b) if x ⊆ y and y ⊆ z, then x ⊆ z, and (c)  if x ∈ y and y ∈ z, then x ∈ z, all three statements are true and can be proved using the properties of sets, subsets and intersection.

(a) If x ⊂ y and x ⊂ z, then x ⊂ y ∩ z:

This statement is true or valid because any element that is in both x and z belongs to the intersection of y and z, so x must be a subset of y ∩ z.

For example:

Let y = {1,2,3,4,5} and z = {1,2,3,6,7} and let x = {1,2,3}.

In this scenario, x is a subset of both y and z, and the intersection of y and z is {1,2,3}, which is also a subset of x. Thus, x is a subset of y ∩ z.

Hence, this statement is true.

(b) If x ⊆ y and y ⊆ z, then x ⊆ z:

This statement is true because, if x is a subset of y, and y is a subset of z, then any element in x is also present in y and z. So, x must be a subset of z.

For example:

Let x = {1,2} be a subset of y = {1,2,3}, which is a subset of z = {1,2,3,4}.

In this case, x is a subset of y and y is a subset of z. As a result, x must be a subset of z as well.

So, the statement is true.

(c) If x ∈ y and y ∈ z, then x ∈ z:

This statement is true because if x is an element of y and y is an element of z, then x must be an element of z as well.

For example:

Let z = {1,2,3,4,5} be a set, and let y = {1,2,3} be a subset of z, and let x = 1 be an element of y.

In this case, x belongs to y, which is a subset of z, so x must be an element of z.

Thus, the statement is true.

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Answer:

the answer is symmetry.

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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The formula for the general term an: an = (-1)^n * (1 / 4^(n-1))

Based on the given sequence {1, -1/4, 1/16, -1/64, 1/256, ...}, we can observe a pattern in the terms.

The sequence alternates between positive and negative values, and the denominators are increasing powers of 4. To find a formula for the general term an, we can consider these observations.

Since the terms alternate in sign, we can use the factor (-1)^n to represent this pattern. When n is odd, the term will be positive, and when n is even, the term will be negative.

Next, let's analyze the denominators. They are increasing powers of 4: 4^0, 4^1, 4^2, 4^3, 4^4, etc. We can use 4^(n-1) to represent this pattern. When n starts at 1, we have 4^(1-1) = 4^0, which gives the first denominator.

Now, we can combine these factors to create the formula for the general term an:

an = (-1)^n * (1 / 4^(n-1))

This formula will generate the terms in the given sequence, ensuring that the pattern continues as desired.

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107/6

Step-by-step explanation:

3x+1+3x=108

6x=108-1

6x=107

x=107/6

Answer:

Step-by-step explanation:

Remark

The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.

If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)

So, let's go.

Givens

1/2 of ST = 1/2 32 = 16

12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.

Solution

KT^2 = 16^2 + 12^2

KT^2 = 256 + 144

KT^2 = 400

KT = sqrt(400)

KT = 20

RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.

Answer:

B.  (3x + 4)(3x + 4)

The equivalent value of the expression is A = ( 3x + 4 ) ( 3x + 4 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 9x² + 24x + 16

On factorizing the equation , we get

A = ( 3x + 4 )²

On simplifying , we get

A = ( 3x + 4 ) ( 3x + 4 )

A = 3x ( 3x + 4 ) + 4 ( 3x + 4 )

A = 9x² + 12x + 12x + 16

On further simplification , we get

A = 9x² + 24x + 16

Hence , the value of the expression is A = 9x² + 24x + 16

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Answer:

267 pages

Step-by-step explanation:

120 ÷ 0.45 = 267

Answer:

The answer is 174 pages

Step-by-step explanation:

Find out how much is 45% = 0.45

multiply 0.45 by 120

you get 54

so then you add 54 to 120 and you get 175

54+120=175

The equivalent expression of the logarithmic expression (logₓy)² is log²ₓy

From the question, we have the following parameters that can be used in our computation:

(logₓy)²

The above expression is pronounced

log y to the base of x all squared

When the expression is expanded, we have the following

(logₓy)² = (logₓy) * (logₓy)

Evaluating the expression, we have

(logₓy)² = log²ₓy

Hence, the equivalent expression of the expression (logₓy)² is log²ₓy

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The probability that you win the game is 50%.

The game is symmetrical for you and your opponent. Thus, your probability of winning is as good as your opponent's, so, you have a 50% of winning.

Symmetry goes into play in probability theory in this way: if different outcomes are equivalent, they would have the same probability.

A symmetrical distribution happens when the values of variables come at regular frequencies and usually the mean, median, and mode all happen at the same point.

In general, if there are N symmetrical outcomes, the probability of any given one of them happening is taken to be 1/N.

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By using the fact that the two angles whose measures are expressed in terms of x are vertical angles, we will see that x = 8.

Then using that we will see that the measure of angle BAC is 63 degrees.

On the given diagram, we can see that the two angles whose measures are expressed in terms of x are vertical angles, thus, these two angles have the same measure, then we can write a linear equation that helps us to find the value of x, which is:

(2x + 3) = (4x - 5)

Solving the linear equation for x we get:

2x + 3 = 4x - 5

3 + 5 = 4x - 2x

8 = 2x

8/2 = x = 4

So we can see that the value of x is 4.

Now we want to find the measure of angle BAC.

We can see that the measure of angle BAC plus the measure of the angle to its right will be a right angle, then we can write:

m∠BAC + (4x - 5)° = 90°

Replacing the value of x we get:

m∠BAC + (4*8 - 5)° = 90°

m∠BAC + 27° = 90°

m∠BAC = 90° - 27° = 63°

We conclude that the measure of angle BAC is 63 degrees.

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Answer:

Step-by-step explanation:

XY is the midsegment of the given triangle.

XY = 1/2GE, as per definition of midsegment

Substitute and solve for x:

X and Y are midpoints

Answer:

a²−2ab+b²/a²+b²

Step-by-step explanation:

Answer: Refer to the histogram diagram below

The frequency table is in another attachment, and may be optional.

======================================================

Explanation:

The first task is to sort the values from smallest to largest. Luckily the data set is already sorted for us.

The smallest number is 22. This is the min. Since we're doing intervals of 10 percent, this means the first bin spans from 20% to 29%, assuming we're only involving whole number percentages. Then the next bin is from 30% to 39%, and so on, until reaching the last bin of 90% to 99%

The bin labels are shown along the bottom of the histogram.

-----------

The height of each bar represents how many students are in that specific bin. The first bar is 1 unit tall because there's only one student in the 20% to 29% range (that 22% mentioned earlier).

The next bar is 2 units tall because of the scores of 30% and 37%. They are in the range from 30% to 39%

The next bar is 4 units tall because of the scores 45,46,46,49.

This process is done with the other values to get the histogram you see below.

The frequency table is shown in a separate attachment, but your teacher may only want the histogram part. I would ask him/her for clarification.

The third column of the frequency table is optional to show where all the scores fit (and to help confirm the frequencies). This will help confirm the answer. Most histograms commonly only show the first two columns.

------------

While it's a good thing to know how to do this by hand, it's recommend to use software to generate the histograms when it comes to real world applications. Eg: making a presentation to the boss.

The program I used was LibreOffice which is free and effectively identical to excel. There are other options you could pick from.

Side note: There are no gaps between the bars when it comes to histograms. In contrast, a bar chart will have gaps.

Answer:

This is an example of comparing two objects indirectly.

Step-by-step explanation:

The manufacturer set up a two-sided alternative but should have set up a one-sided alternative hypothesis.

A Type I error would mean that the manufacturer concludes the mean life of the tires is 50000 miles, even though the mean actually is not 50000 miles.

This means that the null hypothesis, which states that the mean life of the tires is 50000 miles, is rejected even though it is actually true.

This error occurs when the manufacturer sets up a one-sided alternative hypothesis when a two-sided alternative hypothesis should have been set up.

In this case, the two-sided alternative hypothesis should be used because the manufacturer is testing to see if the mean life of the tires is equal to 50000 miles, and the two-sided alternative hypothesis would allow for the possibility that the mean life may be either higher or lower than 50000 miles.

Therefore, the manufacturer set up a two-sided alternative but should have set up a one-sided alternative hypothesis.

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Answer:

-0.75

Step-by-step explanation:

Hope that helps you have a great day!

Answer:

Step-by-step explanation:

Sets B and C have nothing in common and therefore B ∩ C = empty set

Let AB be the tower with C at the top. Let P be the position of the plane such that the angle of elevation is 1°. Let the distance PC be h ft. The distance from the plane to the foot of the tower is 25,000 ft - the height of the plane above the ground (20,000 ft), which is 5,000 ft.

The distance PC is the same as the perpendicular height of the triangle. Therefore, `tan 1° = h / 25,000`. We can solve this equation for  \(h: `h = 25,000 tan 1° ≈ 436.24 ft`.\) To find how many feet the plane must rise to pass over the tower, we need to find the length of the line segment CD,

which is the height the plane must rise to clear the tower. We can use trigonometry again: `tan 89° = CD / h`. Since `tan 89°` is very large, we can approximate `CD ≈ h / tan 89°`.Therefore, `\(CD ≈ 436.24 / 0.99985 ≈ 436.29 ft`\).Thus, the plane must rise approximately 436.29 feet to pass over the tower.

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