How do I write these as an inequality?

Answer:

2

Step-by-step explanation:

When a function and its inverse are composed, the output is equal the input.

For all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.

It is given that Rectangles ABCD and WXYZ are similar, but not congruent.

For all the transformations given represents the similar rectangles. Dilations, rotations, translations and reflections all lead to similar figures.

Therefore, for all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.

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Answer:

m=2/9

Step-by-step explanation:

Use the slope formula to find the slope (m)

Answer:

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

Substitute the values and solve for x:

Answer:

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

\( \\ \)

The probability that both Event A (the first die is 4 or less) and Event B (the second die is even) will occur is 1/3.

To find the probability that both Event A and Event B will occur, we need to calculate the individual probabilities of each event and then multiply them together.

Event A: The first die is 4 or less.

There are 6 possible outcomes for the first die (numbers 1 to 6), and out of those, 4 outcomes (numbers 1, 2, 3, and 4) satisfy the condition. Therefore, the probability of Event A is 4/6, which simplifies to 2/3.

Event B: The second die is even.

For a fair six-sided die, there are 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes. Therefore, the probability of Event B is 3/6, which simplifies to 1/2.

To find the probability that both events will occur, we multiply the probabilities of Event A and Event B:

Probability of both events occurring = Probability of Event A * Probability of Event B

P = (2/3) * (1/2)

P = 2/6

P = 1/3

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Answer:

72 dentists

Step-by-step explanation:

In this case, we can multiply 80 by 9/10 or .9 to get our answer.

If we were to multiply by 9/10 it would look like this:

\(80 * \frac{9}{10} \\\frac{720}{10} = 72\)

But, if we were to multiply by .90 (remember that 9/10 = .9) it would look like this:

\(80(.90) = 72\)

Therefore, if 9 out of 10 dentists recommended PurWhite toothpaste and 80 were surveyed then 72 out of the 80 would have recommended it.

I hope this helps!!

If you have any questions feel free to ask!

- Kay :)

Answer:No

Step-by-step explanation:

It is not a polynomial because the definition of a polynomial states is an equation or statement that consists of many terms this expression clearly only has one term.

Multiplying -8 - 3i by i³ is represented as 8i - 3 on the complex plane.

Complex numbers are numbers that consist of a real part and an imaginary part. They are represented as a+bi, where 'a' is the real part, 'b' is the imaginary part, and 'i' is the imaginary unit, defined as the square root of -1.

The multiplication of -8 - 3i by i³ on the complex plane can be represented as follows:

-8 - 3i is a point in the complex plane, where the real part is -8 and the imaginary part is -3.

i³ is equal to -i, as i³ = i * i * i = -1 * i = -i.

So, multiplying -8 - 3i by i³ can be represented as follows:

-8 - 3i * i³ = (-8 - 3i) * (-i)

This can be further simplified using the distributive property:

(-8 - 3i) * (-i) = -8 * (-i) - 3i * (-i)

= 8i + 3i²

Since i² is equal to -1, we can substitute it:

8i + 3i² = 8i + 3 * (-1)

= 8i - 3

Hence, multiplying -8 - 3i by i³ is represented as 8i - 3 on the complex plane.

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Answer: Box 1: Quadrant III (3)

              Box 2: the imaginary unit

              Box 3: Quadrant II(2)

Step-by-step explanation: I took the test and would've had 100% but got this (mostly) wrong, don't make my mistake.

To find fxv=2(X), we need to integrate the joint probability density function f(x,y) over y, with X fixed at 2x.

∫f(x,y) dy from -∞ to ∞ = ∫(x^2+y) dy from -∞ to ∞

= [x^2(y) + (1/2)y^2] from -∞ to ∞

= ∞ - ∞ + (1/2)x^2(∞-(-∞))

= ∞ if x is positive, and -∞ if x is negative.

Therefore, the correct answer is option A. 0 for x < 3 and infinity for x >= 3.

Note that this means that fxv=2(X) is not a valid probability density function, as it does not integrate to 1 over its support. It is a conditional density, given that X=2x.

In general, to find the marginal density of a continuous random variable, we integrate the joint density over the other variable. For example, to find fx(X), we would integrate f(x,y) over y from -∞ to ∞.

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The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm

The congruent statement is given as:

abcd ≅ ghij and bcda ≅ rstu

The above statement means that:

ts = dc = ij

From the question, we have:

ij = 10 cm

This means that

ts = 10 cm

Hence, the value of length ts is 8 cm

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Answer:

D: 10 cm

Worked for me on the "Congruent Figures" quiz on edge

A sampling distribution is normal only if the population is normal. This  statement is false because A sampling distribution is normal only if n≥30.

If the underlying population is normally distributed, the sampling distribution (such as the sample mean distribution, also known as the xbar distribution) is also normally distributed. Even though the population is not normally distributed, the x(bar) distribution is approximately normal if n > 30, due to the central limit theorem. Some textbooks may use values ​​above 30, but after a certain threshold the x(bar) distribution is effectively "normal".

Option B is close, but misses the normal population part. n > 30 is not necessary if we know the population is normal.

A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a particular population. The sampling distribution for a given population is the frequency distribution of a range of different outcomes that can occur in the population.

In statistics, a population is the entire basin from which a statistical sample is drawn. A population can refer to an entire population of people, objects, events, hospital visits, or measurements. Thus, a population can be said to be a global observation of subjects grouped by common characteristics.

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If on a monte carlo roulette wheel, there are 37 slots: 18 red, 18 black, and 1 green, the probability of getting 26 straight blacks is approximately 3.143 x 10^-16.

The probability of duplicating the exact sequence of 26 straight blacks that occurred on August 18, 1913, is extremely low. Each spin of the wheel is an independent event, so the probability of getting a black on any given spin is always 18/37, regardless of what happened on previous spins.

To calculate the probability of getting 26 straight blacks, we can use the formula for the probability of a sequence of independent events, which is the product of the probabilities of each event. Therefore, the probability of getting 26 straight blacks is (18/37)^26, which is an extremely small number, approximately 3.143 x 10^-16.

Therefore, the probability of duplicating the 26 straight blacks that occurred on August 18, 1913, is so low that it's effectively impossible. It's important to note that each spin of the wheel is independent, so even if the wheel had produced 25 straight blacks, the probability of the next spin being black would still be 18/37.

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The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 \(mm^3\)

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 \(mm^3\)

We know the volume of a cylinder is given by V = \($\pi r^2 h$\)

where, r is the radius of the cylinder

            h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = \($\frac{6}{4}$\)

                                          \($=\frac{3}{2}$\)

Area scale factor \($=\left(\frac{3}{2}\right)^2$\)

                           \($=\frac{9}{4}$\)

∴ Volume scale factor \($=\left(\frac{3}{2}\right)^3$\)

                                     \($=\frac{27}{8}$\)

Therefore, the volume of cylinder B is \($=20 \times \frac{27}{8}$\)

                                                               = 67.5 \(mm^3\)

The normal stress and shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ 11 are σn = 16−15√3 and τ = 2+15√3/4. The maximum shear stress is 17.5.

The stress tensor σ given in the problem is:

σ = 201504−400−1500−1010

The normal stress is given by

σn = σ11cos²θ+σ22sin²θ−2σ12sinθcosθ

where

θ = 30°

θ = 30° is the angle between the direction perpendicular to the plane and the direction of σ11

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
σn = 20cos²(30)+(-15)sin²(30)-2(-4)sin(30)cos(30)

σn = 20cos²(30)+(-15)sin²(30)+4sin(30)cos(30)

σn = 20(3/4)+(-15)(1/4)+4(1/2)(√3/2)

σn = 12−15√3+4√3

σn = 16−15√3

The normal stress is σn = 16−15√3

The shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ11

σ11 is given by:
τ = σ12(sin²θ−cos²θ)+0.5(σ11−σ22)sin2θ

where

θ = 30°

θ=30° is the angle between the direction perpendicular to the plane and the direction ofσ11.

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
τ = −4(sin²(30)−cos²(30))+0.5(20−(−15))sin(60)

τ = −4((1/4)−(3/4))+0.5(20+15)(√3/2)

τ = 4(1/2)+0.5(35)(√3/2)

τ = 2+15√3/4

The shear stress is τ = 2+15√3/4

Maximum shear stress
The maximum shear stress is given by

τmax = 0.5(σ1−σ2)

whereσ1σ1 andσ2σ2 are the first and second principal stresses.

The eigenvalues of the stress tensor σ are found by solving the characteristic equation:

det(σ−λI)=0

Here is a detailed calculation:
σ−λI = [20150−λ−400−1500−λ0−400−15−λ10−λ]

σ−λI = 0(20150−λ)[(−λ)(−λ−15)+0(−400)]−(−4)[0(−λ−15)+(−400)(−λ)]+0[0(−400)+(20150−λ)(−λ)]

σ−λI = 0λ³+35λ²−605λ−1875

σ−λI = 0

λ = −25,5,3

The maximum shear stress occurs on the plane of maximum shear stress which is at 45° 45° to the coordinate axes.

The maximum shear stress is found to be

τmax = 0.5(σ1−σ2)

τmax = 0.5(20−(−15))

τmax = 17.5.

Therefore, the maximum shear stress is τmax = 17.5.

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Answer:

2 eggs

Step-by-step explanation:

c = -880

The intercept for a trendline based on five observations with an average of y = 100 and slope of the line = 22 is -880. This can be calculated using the formula for the equation of a straight line: y = mx + c, where m is the slope and c is the intercept. We know that the slope (m) is 22 and the average of y (the y-intercept) is 100. Plugging in the given values, we get:

100 = 22x + c

c = -880

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The ordered pair given in the first row of the table can be written as (8, f(8)).

f(3) is equal to 7.

f(x) = -5 when x is -6 or -2.

The table represents a function where the input values (x) correspond to the output values (f(x)). Let's analyze the given information to complete the statements:

The ordered pair given in the first row of the table can be written using function notation as (x, f(x)) = (8, f(8)). This means that when x is equal to 8, the corresponding function value is f(8).

To find f(3), we look for the row in the table where x is equal to 3. From the given table, we can see that when x is 3, the corresponding function value f(x) is 7. Therefore, f(3) is equal to 7.

Similarly, to find when f(x) is equal to -5, we look for the rows in the table where the function value is -5. From the table, we can see that when x is equal to -6 and -2, the function value f(x) is -5. Therefore, we can say that f(x) = -5 when x is -6 or -2.

In summary:

The ordered pair given in the first row of the table can be written as (8, f(8)).

f(3) is equal to 7.

f(x) = -5 when x is -6 or -2.

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The value of x, considering the similar triangles in this problem, is given as follows:

x = 2.652.

El valor de x es el seguinte:

x = 2.652.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The proportional relationship for the side lengths in this triangle is given as follows:

x/3.9 = 3.4/5

Applying cross multiplication, the value of x is obtained as follows:

5x = 3.9 x 3.4

x = 3.9 x 3.4/5

x = 2.652.

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Answer:

100 years

Step-by-step explanation:

Simple interest means 4% on the 20$ only and forever.

100-20=80 dollars.

4% of 20 is 0.80

80/0.80 = 100

It will take 100 years

Answer:

It takes 41 years for $20 to grow to $99.86 and if you rounded that up, it would be $100 or if you want it to surpass $100 it would take 42 years turning $20 to $103.85

(Edit: I'm wrong go with the guy on top)

The heights of the bars of a histogram corresponding to frequency values.

This is further explained below.

Generally, The number of instances of a recurring event that takes place in a certain amount of time is referred to as its frequency.

When compared to spatial frequency, it is sometimes referred to as temporal frequency, and when compared to angular frequency, it is sometimes referred to as ordinary frequency.

Both of these names stress the difference between the two types of frequency.

In conclusion, The heights of the individual bars in a histogram correspond to the frequency values being shown.

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the normal and shearing stresses will be 11.054 KiPs and 0 respectively.

What is shearing stress?

An object experiences deformation when an external force works upon it. if the force's direction is parallel to the object's plane. Along that plane, there will be a distortion. The object in this instance is under shear or tangential stress.

shear force(v) = 6sin 35 = 3.44 KiPs

Amal borce(P) = 6cot 35 = 4.91 kiPA

moment (m) =3.44 (16) - 4-91(8) = 15.72kiPA

for point a)

no mal stress (r) = P/a +m/I (y)

= 4.91 /(3.08) + (15 .72)/((0.8 * 33)/12) (-5 )

=2.04-13.1

11.054 KiPs

shear stress will be 0.

Hence the normal and shearing stresses will be 11.054 KiPs and 0 respectively.

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Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

The radius is 1/2 of the diameter, so:

Substitute 12 for h and 10 for r into the volume formula.

Simplify.

The volume of a cylinder, in terms of π, is V = 1200π.

The expression

f(t) = 5t + 11

Is read verbally as, "function of t at 5t plus 11."

This is alredy

Answer:

because i learned it in class 2 years ago

Step-by-step explanation:

b. Associative Property of Multiplication

The new perimeter of △ABC can be either 44.31 units or 52.99 units, depending on the location of point B.

What is isosceles triangle ?

An isosceles triangle is a triangle in which at least two sides have the same length. This means that two of the angles opposite the equal sides are also equal. The third side, which is opposite the unique angle, is called the base of the triangle. The altitude from the apex of the triangle to the base divides the base into two equal parts, and also bisects the apex angle, which is the angle between the two equal sides.

According to the question :
Part A:

Since two sides have the same length, we can assume that they have length x. Therefore, the third side must have length 50 - 2x - 16 = 34 - 2x. Since only two sides have the same length, we know that x is not equal to 16/2 = 8. So we have two equations:

x + x + (34 - 2x) = 50 (perimeter equation)

x ≠ 8 (condition for only two sides having the same length)

Solving the first equation for x, we get:

2x + 34 - 2x = 50

2x = 16

x = 8

This is a contradiction with the condition that x ≠ 8. Therefore, there is no point C that satisfies all the given criteria.

Answer: None of the above.

Part B:

Since △ABC is still an isosceles triangle, we know that the new length of side AB is equal to the original length of side AC, which is 16 units. Let the new x-coordinate of point B be b. Then the coordinates of points B and C are (b, 0) and (12, 16), respectively. Using the distance formula, we can find the length of side BC:

\(BC = \sqrt{(b - 12)^2 + 16^2}\)

Since the triangle is isosceles, we have:

AB = BC

\(16 = \sqrt{(b - 12)^2 + 16^2}\)

Squaring both sides and simplifying, we get:

\((b - 12)^2 = 144 - 16^2\)

\(b^2 - 24b + 128 = 0\)

(b - 4)(b - 20) = 0

Therefore, the possible x-coordinates of point B are 4 and 20. The new perimeter of △ABC is:

16 + AB + BC = 16 + 16 + BC

= 32 + BC

When B is at (4, 0), we have:

\(BC = \sqrt{(4 - 12)^2 + 16^2} = \sqrt{128} = 8\sqrt{2}\)

So the new perimeter is:

\(32 + 8\sqrt{2} \approx 44.31\)

When B is at (20, 0), we have:

\(BC = \sqrt{(20 - 12)^2 + 16^2} = 4\sqrt{10}\)

So the new perimeter is:

\(32 + 4\sqrt{10} \approx 52.99\)

Answer: The new perimeter of △ABC can be either 44.31 units or 52.99 units, depending on the location of point B.

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Answer:

adding 10 to the term to get the next. Next 3 terms are 48, 58, 68

Step-by-step explanation:

Mom took 5/7 of the yellow thread and 2/5 of the red thread and tied them together to create a thread that is 39/35 long.

To determine the length of the thread now, we need to add the two fractions together. However, since they have different denominators, we need to find a common denominator first. The smallest common denominator for 7 and 5 is 35.

To get the common denominator, we need to multiply the numerator and denominator of each fraction by the factor needed to get to 35. For 5/7, we need to multiply by 5, and for 2/5, we need to multiply by 7.
So, 5/7 becomes (5 * 5)/(7 * 5) = 25/35, and 2/5 becomes (2 * 7)/(5 * 7) = 14/35.

Now, we can add the two fractions together:
25/35 + 14/35 = (25 + 14)/35 = 39/35

This fraction can be simplified by dividing both the numerator and denominator by the greatest common factor, which is 1. So, 39/35 simplifies to 39/35. Therefore, the length of the thread now is 39/35.

In conclusion, Mom took 5/7 of the yellow thread and 2/5 of the red thread and tied them together to create a thread that is 39/35 long.

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The value of the constant of variation is 130

Constant of variation can be defined as the ratio between two variables in  an inverse variation on a direct variation.

From the information given, we have that;

The number of hours is x

The temperature is y

x α 1/ y

x = k/y

k = xy

Substitute the values

k = 2 × 65

k= 130

Thus, the value of the constant of variation is 130

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The complete question:

the number of hours it takes for a block of ice to melt varies inversely as the temperature. If it takes 2 hours for a square inch of ice to melt at 65 degrees find the constant of variation

Answer: did you ever get the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

The number line that satisfies the inequality is 4,5,6,7,........∞

i.e

4_5_6_7_8_9_10_11_12_13_14__________∞

Given,

3(8-4x)<6(x-5)

We need to find a number line that represents the solution set to this inequality.

Find the value of x which satisfy the inequality.

x= -1

3(8-(-4) < 6(-1 - 5)

3(8+4) < 6(-6)

36 < -36

Not true.

x = 0,

3(8-4x)<6(x-5)

3(8 - 4x0) < 6(0 - 5)

3(8 - 0 ) < 6 (-5)

24 < -30

Not true.

x = 1

3(8-4) < 6(1-5)

3x4 < 6x-4

12 < -24

Not true.

x=2

3(8-8) < 6(2-5)

0 < 6x-3

0 < -18

Not true.

x=3

3(8-12) < 6(3-5)

3x-4 < 6x-2

-12 < -12

Not true.

x=4

3(8-16) < 6(4-5)

3x-8 < 6x-1

-24 < -6

True.

x=5

3(8-20) < 6(5-5)

3x-12 < 0

-36 < 0

True

x=6

3(8-24) < 6x1

3x-16 < 6

-48 < 6

True.

x = 7,8,9,10,,,,,, will be true.

And x = -1,-2,-3,-4,,,,,,,, will not be true.

Thus the number line that satisfies the inequality is 4,5,6,7,.........∞

4_5_6_7_8_9_10_11_12_13_14__________∞

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