SOMEONE PLS HELP FAST PLS WITH SMALL EXPLINATION PLS

Answer:

\(1 \frac{1}{4} \)

Step-by-step explanation:

Please see attached picture for full solution.

The sides of the rectangle are

the codes are CFID

The unknown part of the rectangle is solved using division of polynomial and the check is completed by multiplication of the polynomial involved

checking for the correct answers

1. 2(x + 5)(x - 1) = (2x + 10)(x - 1)

2x² - 2x + 10x - 10

2x² + 8x - 10

2. 3(x - 1)(x + 6) = (3x - 3)(x + 6)

3x² + 18x - 3x - 18

3x² + 15x - 18

3. 2(x + 1)(x - 5) = (2x + 2)(x  -5)

2x² - 10x + 2x - 10

2x² - 8x - 10

4. 5(x - 1)(x + 1) = (5x -5)(x + 1)

5x² + 5x - 5x - 5

5x² - 5

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Answer:

First, my advice would be to make sure you know the rules of what makes a shape a certain shape. (ex. all angles add to 360, sides bisect each other, etc.) From there, you can look at the given shape and evaluate whether or not it is that shape. From there, you can solve for the different values with the knowledge of what they must be.

Here is how you would solve the first one:

We know that in order for a shape to be a parallelogram, the interior angles must add up to 360 degrees. We also know that opposite angles are equal. This problem states that the shape is indeed a parallelogram so we now know that these rules are true.

So, we can set up the equation: 2(3x + 5) + 2(9x - 17) = 360 and solve for x.

The reason we have that equation is as follows.

Angle Q is equal to (3x+5).

Since Angle S is opposite angle Q, we know that Angle S is also equal to (3x+5). Therefore we can multiply that equation by two which will be equal to those angles combined.

The same reasoning applies to Angles R and T. They are opposite which means they are congruent, so we can multiply (9x-17) by two in order to get the value of those two angles combined.

Finally, we will add them because all four angles will equal 360 degrees, so when we solve, we will get the value of x.

You can stop here for the answer to your question, but some questions will require you to both solve for x and find the value of each angle. So that is what the next step explains.

Once you have the value of x, plug it into the two equations we started with to get the angle values for Angle Q and T. Remember, the angle values for Q is also the angle value for S, and the angle value for T is also the angle value for R.

So to recap, we will get the equation:

2(3x + 5) + 2(9x - 17) = 360

And solve for x to get your answer.

I hope that made sense and helped a little. :) And you got this!! Geometry is just fancy logic.

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle \(ABE\).

\(\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}\)

\(\tan76^{\circ}=\dfrac{AE}{BE}\)

\(AE\approx 4.01\times 354\)

\(AE\approx 1419.54\)

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

Answer:

inserting value of g = 6 and h = 7

7 + (9 × 6)

or. 7 + 54

or. 61

Answer:

x = \(\frac{1}{2}\)

Step-by-step explanation:

Given function;

y = 5 + x - x²

To find the maximum value, follow these steps

(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;

\(y^{'}\) = \(\frac{dy}{dx}\) = \(\frac{d(5 + x - x^2)}{dx}\)

\(y^{'}\) = \(1 - 2x\)

(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.

x for which

1 - 2x = 0

=> 1 = 2x

=> x = \(\frac{1}{2}\)

Therefore, the value of x for which the function is maximum is \(\frac{1}{2}\)

Answer:

x = 1/2

Step-by-step explanation:

The standard equation of a quadratic function is given by:

y = ax² + bx + c, If a > 0 then the graph has a minimum but if a < 0, then the graph has a maximum. To find the maximum or minimum, we differentiate the function with respect to x and equate to zero that is y'(x) = 0.

For the function y = 5 + x - x², a = -1 < 0, therefore it has a maximum.

Differentiating with respect to x:

y'(x) = 1 - 2x

Equating to zero

-2x + 1 = 0

-2x = -1

x = -1/ -2

x = 1/2

The function has a maximum at x = 1/2

The sampling variance of Spencer's estimator can be calculated using the formula for the variance of the sum or difference of two random variables.

In this case, Spencer's estimator is the average weight of the first and last apple, denoted as (X1 + Xn)/2.

The variance of the sum or difference of two independent random variables is the sum of their individual variances. Since the weights of the apples are independently distributed with mean µ and variance σ^2, the variance of each apple weight is σ^2.

To find the sampling variance of Spencer's estimator, we need to find the variance of (X1 + Xn)/2. Using the formula for variance, we can simplify the calculation as follows:

Var[(X1 + Xn)/2] = (1/4) * Var(X1 + Xn)

Since X1 and Xn are independent, the variance of their sum is the sum of their individual variances:

Var(X1 + Xn) = Var(X1) + Var(Xn) = 2σ^2

Plugging this back into the previous equation, we get:

Var[(X1 + Xn)/2] = (1/4) * 2σ^2 = σ^2/2

Therefore, the sampling variance of Spencer's estimator is σ^2/2.

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Answer:

− 2

Step-by-step explanation:

4  x 2 ^−2  -3 =-2

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i believe it's B on edge! hope this helps!!~ ( ´ ▽ ` )ﾉ

Answer:

Step-by-step explanation:
To find the average number of days it takes for the sun to rotate once, we can add the three rotation periods and divide by 3:

Average rotation period = (24.5 + 24.8 + 34.3) / 3

Average rotation period = 83.6 / 3

Average rotation period = 27.87 days (rounded to two decimal places)

Therefore, the average number of days it takes for the sun to rotate once based on the given information is approximately 27.87 days.

Answer:

12/49  

Step-by-step explanation:

First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3

when doing division of fraction you have to remember this, KFG

KFG: Keep Flip Change

you keep the first number or fraction, which is 4/7

then you flip the sign, so you change division in to multiplication

after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7

Now the equation is

4/7 times 3/7, which is 12/49  

The true statements are, Line A B and Line C G are parallel, Line C G and Line R S are perpendicular, Line A B and Line R S must intersect and Line segment C G lies in plane X.

Given that Planes X and Y intersect at a right angle. Line AB and CG are on plane X, while line RS is on plane Y. Therefore, line CG lies on plane X.

Since both line AB and CG lie on the same plane, they are parallel to each other.

Since plane X and plane Y are perpendicular to each other and line CG is on plane X while line RS is on plane Y, this means that Line CG and Line RS are perpendicular to each other.

Line AB and Line RS may or may not intersect. They could be skew lines, which do not intersect and are not parallel.

Line segment CG lies on plane X since it is contained within the plane that contains points C, G, and either A or B.

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The question is -

Which statements are true? Select three options.

a. Line A B and Line C G are parallel.

b. Line A B and Line R S are parallel.

c. Line C G and Line R S are perpendicular.

d. Line A B and Line R S must intersect.

e. Line segment C G lies in plane X.

f. Line segment R S lies in plane X.

Answer: ace

Step-by-step explanation:

Answer:

1 3 and 5

Step-by-step explanation:

Hope this helps

Answer:

1  3

Step-by-step explanation:

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

$90

Step-by-step explanation:

First you find the total area of the shape:

9ft times 6 ft times 5 ft= 270 ft

divide 270 ft by 3 to get the amount of money that Maya will pay.

270 divided by 3 is 90

so the answ er is $90

when 90 ft of rope is out, the boat will be approaching the dock at a rate of 1260 ft/min.

when q = 15 and dp/dt = 4, dR/dt = -2p/15.

To find the rate at which the boat is approaching the dock when 90 feet of rope is out, we can use related rates.

Let's denote the distance between the boat and the dock as x (in feet) and the length of the rope as y (in feet). According to the problem, y is decreasing at a rate of 14 ft/min.

We have the relationship between x and y given by the Pythagorean theorem: x² + y² = 6².

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 0

We are interested in finding dx/dt when y = 90 ft. Let's substitute the given values into the equation:

2x(dx/dt) + 2(90)(-14) = 0

2x(dx/dt) - 2520 = 0

2x(dx/dt) = 2520

dx/dt = 1260 ft/min

Therefore, when 90 ft of rope is out, the boat will be approaching the dock at a rate of 1260 ft/min.

Regarding the second question:

We have the equation p² + 2q² = 1100 that relates the price p and the quantity demanded q.

To find dR/dt, we need to differentiate both sides of the equation with respect to time (t):

2p(dp/dt) + 4q(dq/dt) = 0

Given that q = 15 and dp/dt = 4, we can substitute these values into the equation:

2p(4) + 4(15)(dq/dt) = 0

8p + 60(dq/dt) = 0

60(dq/dt) = -8p

(dq/dt) = -8p/60

(dq/dt) = -2p/15

Therefore, when q = 15 and dp/dt = 4, dR/dt = -2p/15.

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Answer:

60

Step-by-step explanation:

y = 8

8y - 4

8(8) - 4

  = 64 - 4

  = 60

Answer: 60

Step-by-step explanation:

8y-4 and y = 8

Plug in 8

8(8) - 4

64 - 4

60

use desmos graphing calcu

We have drawn the number line and included the given points, see attached number line.  

What is the fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely the numerator, and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

On the number line above, the decimal values and fractions are labeled as follows:

0.63 is labeled between 0 and 1.

34/100 is labeled at the same point as 0.34, between 0 and 1.

0.02 is labeled between 0 and 1.

7/10 is labeled at the same point as 0.7, between 0 and 1.

Therefore, we have drawn the number line and included the given points, see attached number line.  

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Answer:

\(x^4-8x^3+6x^2+40x+25\)

Step-by-step explanation:

Set up the problem as:

\((x^2-4x-5)(x^2-4x-5)\)

Multiply each term in the first part with each term in the second part.

Then, simplify.

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Answer: 5 hardcover and 3 paperback

Step-by-step explanation: To solve, we need to keep this question in mind:

"How many books can we buy for each without going over the initiate amount [$26]?"

So, let's start with the $4 books, so knowing our multiples of 4

ex. 4, 8, 12, 16, 20, 24, 28......

So, I listed the example of the multiples. So, it can be either 20 or 24. So, it would be 20, because it is under the initiate amount AND it is less with unincluded paperback books. So, 26-20 = 6. So, if each paperback book costs $2, we need to divide 6 by 2. That's 3. So, therefore, she can buy 5 hardcovers and 3 paperbacks by spending all the money. I hope this helps!

The angle -4π/3 in its standard position is added as an attachment

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

Angle = -4π/3

The coordinates of this point can be found by using the formula for converting from polar to rectangular coordinates:

x = cos(-4π/3)

y = sin(-4π/3)

So, we have

x = -0.5

y = 0.86

As an ordered pair, we have

(0.86, -0.5)

This means that we plot (0.86, -0.5)

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Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

Answer:

6+x

Step-by-step explanation:

I used photo math have a great thanksgiving

Answer:

x=0.66+1.88i

x=0.66-1.88i

Step-by-step explanation:

Given

3\(x^{2}\)-4x+12=0

using the Quadratic Formula where

a = 3, b = -4, and c = 12

\(x=-b\)±\(\sqrt{b^{2}-4ac } /2a\\\)

x=-(-4)±\(\sqrt{(-4)^{2}-4(3)(12) } /2(3)\)

x=4±\(\sqrt{16-144} /6\)

x=-4±\(\sqrt{128} /6\)

\(b^{2} -4ac<0\\\)

x=-4±\(8\sqrt{2} i\)/6

\(x=\frac{2}{3}\)± \(\frac{4\sqrt{2}i }{3}\)

Which becomes,

x=0.66+1.88i

x=0.66-1.88i

The value of x will be x=0.66+1.88i

x=0.66-1.88i

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write equation

-4x + 6(4x - 3) = -8

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.