Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks

The triangles that are said to be similar to triangle ABE are: ADB and EDC.

When on comparing the corresponding properties of two or more triangles, there exist some common relations, then they are said to be similar. Note that similarity does not imply congruency, this implies that the triangles do not have exactly the same properties.

Considering the given diagram, the first thing to do is to compare the properties of triangle ABE  with other triangles. Thus any other triangle/s that have common relations is said to be similar to triangle ABE.

Therefore, it can be observed that triangles ADB and EDC are similar to triangle ABE on comparing their corresponding properties. Though they are not congruent triangles.

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This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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Answer:

b, c, d (please mark me brainliest)

Step-by-step explanation:

Answer:

$67.50

Step-by-step explanation:

25% = .25

90 x .25 = 22.5

90( total) - 22.5 ( 20%) = 67.5

The price of the bus pas is $ 67.50 with a 20% discount.

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Step-by-step explanation:

Ratio is dividing ( over ) of 2 no. but it must be in the same unit so our given unit is cat and dog .

So it doesn't has ratio but if it has 11:2 is their ratio .

Answer:

Look Below

Step-by-step explanation:

The formula for a circle is πr².

Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.

Feel free to tell me if I did anything wrong! :)

Cyber safety is the use of information and communication technologies in a responsible and safe manner. It involves protecting information and keeping it secure, but it also entails handling information responsibly, showing consideration for others online, and following proper internet etiquette.

The Essential Eight are a collection of eight mitigation techniques: application control, application patching, configuring Microsoft Office macro settings, user application hardening, limiting administrative rights, operating system patching, multi-factor authentication, and regular backups.

Best Cybersecurity Advice for 2023:

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True. BCNF (Boyce-Codd Normal Form) decomposition guarantees that we can still verify all original functional dependencies (FDs) without needing to perform joins.

BCNF decomposition ensures that the resulting relations have no non-trivial FDs that violate BCNF, which means all FDs in the original relation are preserved in the decomposed relations. Therefore, we can still verify all original FDs in the decomposed relations without the need to perform joins.

The statement "BCNF decomposition guarantees that we can still verify all original FDs without needing to perform joins" is true. BCNF (Boyce-Codd Normal Form) decomposition ensures the preservation of all original functional dependencies (FDs) without requiring additional join operations.

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Answer:

$426.24

Step-by-step explanation:

Louis makes shoe insoles.

He is paid $0.12 per pair of insoles.

For the given week, he made a total of;

699 + 702 + 710 + 705 + 736 = 3,552

Louis' gross pay per week = 3,552 × $0.12 = $426.24

Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

\(\frac{-2m}{-2} = \frac{-2}{2}\)

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= \(\frac{-4}{-7}\)

\(Faction \frac{-4}{-7}\) can be simplified to \(\frac{4}{7}\) by removing the negative sign from both the numerator and the denominator.

x= \(\frac{4}{7}\)

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= \(\frac{8}{2}\)

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= \(\frac{55}{11}\)

Divide 55 by 11 to get 5.

y=5

Answer:

Y| 1/16, 1/4, 1

Step-by-step explanation:

\(4^{-2}\) = 1/16

\(4^{-1\\}\) = 1/4

\(4^{0}\) = 1

Answer:

5 cm

Step-by-step explanation:

\(Perimeter of semicircle = \frac{1}{2} \times 2\pi \: x +2x\\ 25.71 = 3.14 2\times x+ 2x\\ 25.71 = 5.14 2 x\\ x = \frac{25.71}{5.142} \\ x = 5 \: cm\)

Answer:

30.66

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Step-by-step explanation:

4x^2 +10+ 2(2x+4)

4x^2 + 10x+4x+8

4x^2 +14x+8

4x^2+16x-2x -8

4(x+4)+2(x+4)

4+2(x+4)

6(x+4)

The y value of the y-intercept is 146 feet while the slope is -4 feet per second

it was given that Kaliel starts at a height of 142 feet. That means at time 0 second (the start), he is at height 142 feet. So this is y-intercept i.e. time = 0 (x-axis), height = 146  (y-axis)

Thus, the y value of the y-intercept is 146 feet

In this case, the slope is defined as the rate of change in height with time i.e the rate at which he descends

Slope = Change in height / Change in time

From the table, the time given is 8 and 13 when the height is 110 and 94. Slope will be:

Slope = (94-110) /(12-8)

Slope = -16/4

Slope = -4

This implies he descends at a rate of 4 feet per second.

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The length and breadth of the rectangle are 10m and 6m respectively

The shorter side of a rectangle is called its breadth (width) and the longer side is the length.

The area of a rectangle = L×B

and the perimeter = 2(L+B)

where L is the length and B is the breadth

therefore 60 = LB, and B = 60/L

and 32 = 2(L+B)

substitute 60/L for B

32 = 2(L+60/L)

divide both sides by 2

16 = L+60/L

16 =( L²+60)/L

therefore L² +60 = 16L

L² -16L +60= 0

L²-10L-6L +60 = 0

L(L-10)-6(L-10) = 0

L-10 = 0 or L-6 = 0

therefore L = 10 or 6

when L is 10m then B = 60/10 = 6m

when L is 6m then B = 60/6 = 10m

Since the longer side is length then L = 10m and B = 6m

therefore the length and breadth of the rectangle are 10m and 6m respectively.

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After 2 years, the value of the boat is, $19,200

After 8 years, the value of the boat is, $5,033.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph represents the value $y of a boat after x years.

Here, A graph titled, value of a boat. The horizontal axis is labeled year. The vertical axis is labeled value (thousands of dollars).

And, The graph shows a curve that passes through the points, ordered pair 0 comma 30, ordered pair 1 comma 24, ordered pair 3 comma 15.36, and ordered pair 5 comma 10.

Now, The equation of graph is,

⇒ y = k (a)ˣ

Since, The graph is passes through the point (0, 30),

⇒ 30 = k × 1

⇒ k = 30

Hence,  Calculate the ratio between y values:

⇒ 24/30

⇒ 4/5

So, The equation is,

⇒ y = k (a)ˣ

⇒ y = 30 (4/5)ˣ

Hence, After 2 years, the value of the boat is,

⇒ y = 30 (4/5)²

⇒ y = 30 × 16/25

⇒ y = $19.2

⇒ y = $19,200

And, After 8 years, the value of the boat is,

⇒ y = = 30 (4/5)⁸

⇒ y = 5.033

⇒ y = $5,033

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The constant of the equation 3x 6y =- 13 is -13.

A mathematical statement that two expressions are equal is known as an equation. In the equation 3x 6y =- 13, the two expressions on either side of the equal sign are 3x and 6y. The constant in this equation is the number or value that remains unchanged. In this equation, the number -13 remains unchanged and is therefore the constant of the equation. To solve an equation, you must determine the value of any unknowns (in this case, x and y) and the constant. This equation can be solved by isolating the constant, -13, on one side of the equation. To do this, subtract 3x from both sides of the equation, which gives 6y = -13 - 3x. Then, divide both sides of the equation by 6 to isolate y, which gives y = (-13 - 3x) / 6. Once the value of y is known, it is possible to solve for the value of x by substituting the value of y into the original equation.

y = (-13 - 3x) / 6

x = (13 + 6y) / 3

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Answer:

Step-by-step explanation:

Since the graph is given, there isn't really anything to calculate.  It's a matter of knowing where the points are.

a) Vertex (the highest/lowest point) In this case, it's the highest/max.

> (4, 15)

b) zeroes, x intercepts- points where the graph hits the x axis

> (0,0) and (8,0)

c)y-intercept - point where the graph hits the y-axis

> (0,0)

d) Axis of symmetry- line where you can fold the graph in half and get same/mirror image

> x=4

The correct hypothesis statement for this golfer to prove his claim would be:

\(H_{0} :u\geq 90\)

\(H_{1} :u < 90\)

The golfer claims that his average score is less than 90.

Therefore, the null hypothesis is the opposite of what he claims

Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:

\(u \geq 90\)

\(H_{0} :u\geq 90\)

Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.

Hence alternate hypothesis \(H_{1}\) is u< 90

\(H_{1} :u < 90\)

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Answer:

36 ounces

Step-by-step explanation:

There are 16 ounces in a pound so what you have to do is multiply, here's what the equation could look like.

2.25 x 16 = 36

Hope that helps and have a great day!

The researcher is BEST served by creating a frequency distribution table with a cumulative frequency column and a histogram with the class boundaries marked

When a researcher examines quantitative data and wants to know the number of observations that fall below the upper limit of a particular class, the researcher is BEST served by creating a frequency distribution table with a cumulative frequency column and a histogram with the class boundaries marked. The frequency distribution table would allow the researcher to see how many observations fall into each class, while the cumulative frequency column would show how many observations fall below the upper limit of each class. The histogram would provide a visual representation of the distribution of the data, and the class boundaries marked on it would allow the researcher to easily identify the upper limit of each class. By examining the cumulative frequency column, the researcher would be able to determine the number of observations that fall below the upper limit of a particular class.

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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