It’s a proof... but I don’t think it’s that hard! *sorry I’m just dumb so please do this proof for me...*

Answer:

D. 5

Step-by-step explanation:

Based on the midsegment theorem of a trapezoid, thus:

QR = ½(OP + MN)

Substitute

27 = ½((5x - 7) + (6x + 6))

27 = ½(5x - 7 + 6x + 6)

Add like terms

27 = ½(11x - 1)

Multiply both sides by 2

2*27 = 11x - 1

54 = 11x - 1

54 + 1 = 11x

55 = 11x

55/11 = x

5 = x

x = 5

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

A

scale factor = \(\frac{3}{9}\) = \(\frac{1}{3}\)

B

scale factor = \(\frac{9}{3}\) = 3

Answer:

I hope it will help you :)

Answer:

6! = 720

3! - 2! = 12

6!/3!= 120

Step-by-step explanation:

just finished the assignment.

Answer:

The correct expression is

\( {(4x {y}^{2} )}^{ \frac{1}{3} } \)

x = 3 is the true solution to 2 ln e superscript ln 5 x baseline = 2 ln 15, using the concept of simplification.

Make something simpler by simplifying it. In mathematics, reducing an expression, fraction, or issue to a simpler form is referred to as simplification. With calculations and solutions, the problem is made simple.

In order to achieve consistency in efforts, costs, and time, procedures must be simplified. It gets rid of variation and variety that is superfluous, harmful, and unproductive. It is termed simplification to use and interpret the function in order to make it simpler or easier to grasp.

The equation can be simplified by using the fact,

ln(eˣ) = x

This gives,

2 ln(5x) = 2·ln(15)

Comparing arguments, we see that,

5x = 15

x = 3

Check if it is true or not:

2 ln(e^(ln(5·3))) = 2·ln(15)

2 ln(e^2.70805) = 2·2.70805

2 ln(15) = 5.41610

and,

2·2.70805 = 5.41610

So, it is true.

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Answer:

10.8

Step-by-step explanation:

AB can be calculated using the formula \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

The coordinates of A are when x = -2, y = -2

At B, x = 8, y = -6

Let,

\( A(-2, -2) = (x_1, y_1) \)

\( B(8, -6) = (x_2, y_2) \)

Plug the values into the formula.

\( AB = \sqrt{(8 - (-2))^2 + (-6 -(-2))^2} \)

\( AB = \sqrt{(8 + 2)^2 + (-6 + 2)^2} \)

\( AB = \sqrt{(10)^2 + (-4)^2} \)

\( AB = \sqrt{100 + 16} \)

\( AB = \sqrt{116} = 10.8 \) nearest tenth

In a four-candidate race with 107 votes cast, the smallest number of votes a winning candidate can have is 28.

In a four-candidate race decided by plurality, the winning candidate is the one who receives the most votes, regardless of whether that number of votes constitutes a majority (more than 50%) of the total votes cast.

To determine the smallest number of votes a winning candidate can have in a four-candidate race with 107 votes cast, we can assume that the other three candidates each receive an equal number of votes, say x. Then, the winning candidate must receive more votes than each of the other three candidates.

So, the minimum number of votes the winning candidate can receive is x + 1.

The total number of votes cast in the election is:

x + x + x + (x + 1) = 4x + 1

Since we know that 4x + 1 = 107, we can solve for x:

4x + 1 = 107

4x = 106

x = 26.5

Since x must be a whole number, we can round up to x = 27.

Then, the minimum number of votes the winning candidate can have is:

27 + 1 = 28

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Answer:

a

Step-by-step explanation:

because there is 12 people

Answer:

A

Step-by-step explanation:

There are 12! Since 90 degree rotations of the seats are technically equivalent, so just divide by 4, which yields 12!

Answer:

26.6 miles

Step-by-step explanation:

distance = speed × time ( time is in hours )

              = 7.6 × 3.5

             = 26.6 miles

The end behavior of f(x)=(2+x2)(x2−36) is determined by the highest degree terms in the numerator and denominator. In this case, the highest degree terms are both x^4.

The numerator (2+x^2) will approach positive infinity as x approaches positive or negative  infinity because the x^2 term dominates.

The denominator (x^2-36) will approach positive infinity as x approaches positive or negative infinity because the x^2 term dominates.

Therefore, as x approaches positive or negative infinity, f(x) will approach positive infinity.

This is because the highest degree term in the function is x^4, which will dominate the function as x approaches infinity or negative infinity. Since the coefficient of x^4 is positive, the function will approach 0 from both sides as x becomes large or very negative.

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Answer:

the answer is $120

Step-by-step explanation:

60+60 is 120

Answer:

42.5 square.cm

Step-by-step explanation:

Find the diagram attached

Area of the shaded portion = area of square - area of circle

Area of square = L²

Area of square = 11 × 11

Area of square = 121 square centimetres

Area of circle = pir²

r is the radius of the circle = 5cm

Area of the circle = 3.14×5²

Area of the circle = 3.14×25

Area of the circle = 78.5 square. cm

Area of the shaded region = 121 - 78.5

Area of the shaded region = 42.5 square.cm

Answer:

397.39cm

Step-by-step explanation:

did it on khan ur welcome <3

The y-intercept of the equation of line  y = (7/9)x + 2/3 is 2/3.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of line in the question;

y = 7/9 x + 2/3

Simplify the right hand side

y = (7/9)x + 2/3

Using the slope-intercept form, the y-intercept is 2/3.

Therefore, the y-intercept in point form is (0,2/3).

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The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Step-by-step explanation:

the initial expression is:

Answer:

Step-by-step explanation:

Yes the diameter of a circle is twice the radius. For example if the radius is 3 then the diameter is 6.

The proportion of the variability in weight that can be explained by the correlation with height can be determined using the coefficient of determination, which is the square of the correlation coefficient. In this case, with a correlation coefficient of +0.40, we can calculate the proportion of variability explained.

The coefficient of determination, denoted as r^2, represents the proportion of the variability in one variable (weight in this case) that can be explained by the other variable (height). It is calculated by squaring the correlation coefficient (r).
In this scenario, with a correlation coefficient of +0.40, we can square it to find the coefficient of determination:
r^2 = (0.40)^2 = 0.16
Therefore, approximately 16% of the variability in weight can be explained by the correlation with height.
The coefficient of determination ranges from 0 to 1, where 0 indicates no relationship between the variables, and 1 indicates a perfect relationship. In this case, since r^2 is 0.16, it means that 16% of the variation in weight can be accounted for by the correlation with height, while the remaining 84% is attributed to other factors not captured by the correlation.

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To shoot a 20-cm-long arrow parallel to the axle and through the wheel without hitting any spokes, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm away from any spoke.

The diameter of the wheel is 60 cm (2 x radius), so the circumference is 188.5 cm (π x diameter). Since the arrow is 20 cm long, it must pass through the wheel at a point that is at least 20 cm away from any spoke. To find this point, divide the circumference of the wheel by the number of spokes (which is not given in the problem).

Since the spokes are equally spaced, this will give the minimum distance between any two spokes. For example, if there are 6 spokes, the distance between each spoke is 31.4 cm (188.5 / 6). Therefore, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm (20 / 5) away from any spoke.

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Answer:

b) 18

Step-by-step explanation:

600 - 150 = 450

25x = 450

x = 18

check

25 x 18 = 450

450 + 150 = 600

Answer:

6x + 6y just add all the 2x then 2y

Answer:

12x+12y= 24

Step-by-step explanation:

24

Answer: When rolling a six-sided dice, the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6.  A six-sided dice, also known as a standard dice, has six faces, each numbered with one of these values.  When rolled, the dice can land on any of these numbers, resulting in one of the six possible outcomes. Each outcome is equally likely, assuming a fair dice, meaning that each number has an equal chance of being rolled.  The outcome of a dice roll is random, and it is used in various games and activities that rely on chance or probability.

The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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The system of equations solved by the elimination method gives (-2, 1)

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

y = -4x + 11

y = 1/2x + 2

Subtract the equations to eliminate y

So, we have the following representation

-4 1/2x - 9 = 0

So, we have

-4 1/2x = 9

Divide the equations

x = -2

Recall that

y = 1/2x + 2

So, we have

y = 1/2(-2) + 2

This gives

y = 1

Hence, the solutions are x = 2 and y = 1

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\(\huge\mathfrak\green{Constant}\)

Constant is the number that cannot change the value

Im not sure..but you can copy it

To find the probability of at least one head when the fair coin is tossed 5 times is 0.9688.

Here, the total number of possible outcomes is 2 (since the coin is fair)

The possible outcomes of throwing the fair coin 5 times are:

From the above possible outcomes, we can see that there is at least one head in each case except for the outcome TTTTT.

Therefore, the probability of at least one head when the fair coin is tossed 5 times is 0.9688 (approx) .

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Answer:

Part A

x = 4

Part B

10 - 2x = 7 + 5x (x = 4)

6 - 5x = 3 + 2x (x = 4)

7 - 3x = 4 + 6x (x = 6)

6x - 2x² = 3x + 5x² (x = 3x/7) I'm not sure what step is next though

hope this helps.

The left side of the equation is equal to the right side, which confirms that a = 11/10 is the correct solution.

To solve the equation, we need to isolate the variable "a". The equation is given as a - 1/2 = 3/5.
To eliminate the fraction, we can multiply both sides of the equation by the least common denominator (LCD), which is 10. This will clear the fractions and make the equation easier to solve.
Multiplying the left side of the equation by 10, we get:
10(a - 1/2) = 10(3/5)
10a - 5 = 6
Next, we can simplify the equation by adding 5 to both sides:
10a - 5 + 5 = 6 + 5
10a = 11
Finally, we can solve for "a" by dividing both sides of the equation by 10:
(10a)/10 = 11/10
a = 11/10
Therefore, the solution to the equation is a = 11/10 or a = 1 1/10.
To check the solution, substitute a = 11/10 back into the original equation:
11/10 - 1/2 = 3/5
(11/10) - (5/10) = 3/5
6/10 = 3/5
In summary, the solution to the equation a - 1/2 = 3/5 is a = 11/10 or a = 1 1/10. This solution has been checked and is correct.

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Answer:

30

Step-by-step explanation:

please give me a brainlist