Hurry Please! Which of the following shows the extraneous solution to the logarithmic equation?

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The given two triangles are congruent by HL hypotenuse and leg.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given are two right-angle triangles.

We know if the hypotenuse and one leg of a right angle triangle are similar to the corresponding hypotenuse and one leg of the other right angle triangle they are congruent by the RHS congruency theorem.

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Answer:

I think the 3rd one

Step-by-step explanation:

Hope its right

The solution to the equation 3x - 333x + 3 = 3 is x = 0.

To solve the equation 3x - 333x + 3 = 3, we can simplify it by combining like terms:

-330x + 3 = 3

Next, we isolate the variable by subtracting 3 from both sides:

-330x = 0

Now, we divide both sides by -330 to solve for x:

x = 0

Therefore, the solution to the equation 3x - 333x + 3 = 3 is x = 0.

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Based on the scatterplot, 50 beats per minute is the best prediction of the resting heart rate, in beats per minute, of a person who exercises an average of ​​​​​​​8 hours each week.

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The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer: Answer: A

Explanation:

Just plug in numbers since you know the unknown values,

x + r = 4 + 5

4 + 5 = 9

Step-by-step explanation:

Answer:

The first 0ne

Step-by-step explanation:

Answer:

8.89 feet

Step-by-step explanation:

\(\sqrt{79}\) = 8.888, rounded to nearest hundredth would be 8.89

EXPLANATION.

The whole numbers are the same natural numbers that start from zero to infinity, they are positive and negative, for example in the number line we can see them from zero to positive infinity, and from zero to negative infinity.

Whole numbers express a complete unit, this means that they do not have an integer part and a decimal part.

Now according to what has already been mentioned, we can see in the exercise that the integers are 9 and 1.00000, which we must enclose in a circle.

Answer:

Step-by-step explanation:

i guess converges

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer: (10,-16)

Step-by-step explanation:

\(A(-4,8)\ \ \ \ C(3,-4)\ \ \ \ \ B(x_B,y_B)=?\\\)

See the graph below.

                             \(\displaystyle\\\boxed {x_C=\frac{x_A+x_B}{2} }\\\\\)

Multiply both parts of the equation by 2:

\(2x_C=x_A+x_B\\2x_C-x_A=x_A+x_B-x_A\\2x_C-x_A=x_B\)

Hence,

\(x_B=2*3-(-4)\\x_B=6+4\\x_B=10\)

                            \(\displaystyle\\\boxed {y_C=\frac{y_A+y_B}{2} }\)

Multiply both parts of the equation by 2:

\(2y_C=y_A+y_B\\2y_C-y_A=y_A+y_B-y_A\\2y_C-y_A=y_B\)

Hence,

\(y_B=2*(-4)-8\\y_B=-8-8\\y_B=-16\\Thus,\ B(10,-16)\)

To describe the revenue of the tile factory in terms of tiles sold, we need to rearrange the given equation:

y - 3,000 = 0.25(x - 10,000)

First, let's distribute the 0.25 to both terms in the parentheses:

y - 3,000 = 0.25x - 2,500

Next, let's isolate y by adding 3,000 to both sides:

y = 0.25x - 2,500 + 3,000

Simplifying the expression:

y = 0.25x + 500

Therefore, the function that describes the revenue of the tile factory in terms of tiles sold is:

Revenue (y) = 0.25 * Tiles sold (x) + $500

From the equation, we can see that the flat fee for delivery is $500, as it is the constant term in the equation.

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Answer:

1. 27

2. 18

3. 905.400

4. 6.830

Step-by-step explanation:

Any number (ending number/last number) with 1,2,3,4 is rounded down, and any number (ending number/last number) with 5,6,7,8,9 is rounded up.

1. It is closer to 27.

2. it is closer to 18.

3. It is closer to 905.400

4. It is 6.825 which ends in 5 so it is rounded up.

1) cos 15° is the exact value of sin(-105°) using a sum or difference identity.

2) sin 15° is the exact value of cos(285°) using a sum or difference identity.

3) The exact value of sin(u + v) is 33/65.

4) The exact value of cos(u - v) is -16/65.

5) The exact value of tan(u + v) is -17/23.

6) The exact value of csc(u - v) is 3/5.

7) The exact value of the expression is (1 + √3)/8.

8) The exact value of the expression is -7/6.

1. The given function is sin(-105°).

The following sum or difference identity can be used for this expression.

sinq-r = sin q cos r - cos q sin r

Since we need to determine sin(-105°) = -sin105°, and sin105° is a first-quadrant value that can be calculated using a calculator,

    we use the identity with q = 15°

                                        and r = 90°.

Therefore,

                  -sin 105° = -sin(90°+15°)

                                 = -sin 90° cos 15° - cos 90° sin 15°

                                  = -cos 15°

Answer: cos 15° is the exact value of sin(-105°) using a sum or difference identity.

2. The given function is cos(285°).

The following sum or difference identity can be used for this expression.

                cosq-r = cos q cos r + sin q sin r

Since we need to determine cos(285°) = cos(360°-75°), and cos 75° is a second-quadrant value that can be calculated using a calculator,

we use the identity with

                             q = 15°

                       and r = 90°.

Therefore,

               cos 75° = cos(90° - 15°)

                           = cos 90° cos 15° + sin 90° sin 15°

                            = 0 cos 15° + 1 sin 15°

                             = sin 15°

Answer: sin 15° is the exact value of cos(285°) using a sum or difference identity.

3. sin(u + v) = sin u cos v + cos u sin v

We are given,

                    sin u = 5/13

             and cos v = -3/5

Therefore,

               sin(u + v) = sin u cos v + cos u sin v

                              = (5/13) (-3/5) + (12/13) (4/5)

                               = -15/65 + 48/65

                               = 33/65

Answer: The exact value of sin(u + v) is 33/65.

4. cos(u - v) = cos u cos v + sin u sin v

We are given

                      sin u = 5/13

             and cos v = -3/5

Therefore,

                cos(u - v) = cos u cos v + sin u sin v

                                 = (12/13) (-3/5) + (5/13) (4/5)

                                 = -36/65 + 20/65

                                 = -16/65

Answer: The exact value of cos(u - v) is -16/65.

5. tan(u + v) = (tan u + tan v) / (1 - tan u tan v)

We are given sin u = 5/13

               and cos v = -3/5

Therefore,

          tan(u + v) = (tan u + tan v) / (1 - tan u tan v)

                          = (5/12 - 4/3) / (1 - 5/12 * -4/3)

                          = (-17/12) / (23/12)

                            = -17/23

Answer: The exact value of tan(u + v) is -17/23.

6. csc(u - v) = csc u csc v + cot u cot v

We are given

                      sin u = 5/13

                      cos v = -3/5

Therefore,

             csc(u - v) = csc u csc v + cot u cot v

                             = (13/5) (-5/3) + (12/5) (4/3)

                             = -39/15 + 48/15

                             = 9/15

                                = 3/5

Answer: The exact value of csc(u - v) is 3/5.

7. sinπ/12cosπ/4+cosπ/12sinπ/4= (1/4)(sin(π/12 + π/4) + sin(π/4 - π/12))

                                                    = (1/4)(sin(π/3) + sin(π/6))

                                                    = (1/4)(√3/2 + 1/2)

                                                     = √3/8 + 1/8

                                                      = (1 + √3)/8

Answer: The exact value of the expression is (1 + √3)/8.

8. (tan 25°+ tan 110°)/1- tan 25° tan 110°

We can use the following identity to solve the given expression.

tan(a + b) = (tan a + tan b) / (1 - tan a tan b)

Let a = 25

      b = 110,

then,

(tan 25°+ tan 110°)/1- tan 25° tan 110°= tan (25° + 110°) / (1 - tan 25° tan 110°)

                                                             = tan 135° / (1 - tan 25° tan 110°)

                                                              = -1 / (1 - (-1/7))

                                                                = -7/6

Answer: The exact value of the expression is -7/6.

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Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

To plan a party for more than 200 people, the number of guests for which both packages of buns and hotdogs will work evenly is 40 people. Here's an explanation of how to get this answer: First, we need to find the common multiple of 8 and 10 since buns come in packs of 8 while hotdogs come in packs of 10. The common multiple of 8 and 10 is 40. Next, we need to divide the total number of people by the common multiple of 8 and 10, which is 40. So, 200 divided by 40 equals 5. Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people. Any additional guests can be accommodated by purchasing extra packages of buns and hotdogs. So, the answer is 40 guests.

Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

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i dont no but can someone help me on this???

Pick one thing about the U.S. Constitution including its amendments that you think should be changed. What modifications that you would make? Explain your reasons for making this change. Please write a 5 paragraph essay that details the changes

A general annuity refers to an annuity that the payment interval is not the same as the interest period.

A agreement that you sign with an insurance provider known as an annuity obligates the insurer to pay you payments either now or in the future. A lump sum payment or a series of payments are required for an annuity plan, which gives a fixed quantity of money for the remainder of your life. They are long-term agreements with an insurance provider where you put money. In exchange for your investment, you receive income in the form of payment processing via annuitization or perhaps a definite lifelong income advantage that is available for an extra fee.

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Answer:

3x - 6

Step-by-step explanation:

Using the keywords "a number" and "few than" and "times" we can identify the expression.

Answer:

Let the number be x

Basically, 3 times a number is 3x and 6 fewer than 3 times a number is 3x-6 (that is, 6 is less than 3x)

Hence the required expression is 3x-6.

hope it helps :)

The solution for the given equation has no solution due to the reason that square root are always positive.

For this equation simplification can be applied 6cos(30)-9=-12
= 6cos(30)
=-3.
Then solutions for this equation on the interval of [0, 360] are 150° and 210°.
To elaborate how we got these solutions, we first have to know that
cos(30) = √3/2.
Staging this value in the equation
6 × √3/2 - 9
= -12
Applying Simplification
3√3 - 9 = -12
3√3 = -12 + 9
3√3 = -3
√3 = -1

Since it is not possible because the square root of any number is always positive. Then, there are no solutions for this equation.
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Since, a prime number is whole number higher than one that cannot be divided exactly by any other whole number than itself and one. No, there are many prime numbers.

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction.

Prime number 2,5,7,13, ......

so there are multiple prime numbers.

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Answer + Explanation:

Since you just flip the fraction if you have a negative power, you get

1.) 6 to the power of -1 = 1/6

2.) 6 to the power of -2 = 1/36

3.) 6 to the power of -3 = 1/216

4.) 6 to the power of -4 = 1/1296

The gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

To find the gradient of the function \(\( f(x, y) = e^{3x} \sin(4y) \)\) at the point \(\((-1, -3)\)\), we need to compute the partial derivatives with respect to \(\(x\) and \(y\)\) and evaluate them at that point.

The gradient of a function is given by:

\(\[\nabla f(x, y) = \left(\frac{{\partial f}}{{\partial x}}, \frac{{\partial f}}{{\partial y}}\right)\]\)

Let's calculate the partial derivatives:

\(\[\frac{{\partial f}}{{\partial x}} = \frac{{\partial}}{{\partial x}}\left(e^{3x} \sin(4y)\right) = 3e^{3x} \sin(4y)\]\)

\(\[\frac{{\partial f}}{{\partial y}} = \frac{{\partial}}{{\partial y}}\left(e^{3x} \sin(4y)\right) = 4e^{3x} \cos(4y)\]\)

Now, we can evaluate these derivatives at the point \(\((-1, -3)\):\)

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{3(-1)} \sin(4(-3)) = 3e^{-3} \sin(-12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{3(-1)} \cos(4(-3)) = 4e^{-3} \cos(-12)\]\)

Simplifying further:

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{-3} \sin(-12) = -3e^{-3} \sin(12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{-3} \cos(-12) = 4e^{-3} \cos(12)\]\)

Therefore, the gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

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Median- is the middle value whereby the values are place in order (ascending)

$9.25 is the median of these prices

the answer is 1

x = 1 is an extraneous solution for the equation 1/(x - 1) = (x - 2)/(2x² - 2).

Answer:

Simultaneously equation

A) The equation for a line that passes through the points (8, 2) and (6, 10) is:

y = -4*x + 34

B) line that has a slope of -2 and that passes through the point (-3, 5)

y = -2*x - 1

A) First we want to find the equation for a line that passes through the points (8, 2) and (6, 10).

Remember that a general linaer equation is of the form:

y = m*x + s

Where m is the slope and s is the y-intercept.

If the line passes through (a, b) and (c, d), then the slope is given by:

m = (d - b)/(c - a)

Then in this case, the slope is:

m  =(2 - 10)/(8 - 6) = -8/2 = -4

Replacing that we get:

y = -4*x + s

To find the value of s we use the fact that the line passes through (8, 2), this means that:

2 = -4*8 + s

2 + 32 = s

34 = s

The linear equation is:

y = -4*x + 34

B) Now we want to find a line that has a slope of -2 and that passes through the point (-3, 5)

Here we already know the slope, so we can write:

y = -2*x + s

Again, to find the value of s, we replace the values in the point in the linear equation:

5 = -2*-3 + s

5 = 6 + s

5 - 6 = s = -1

We conclude that this linear equation is:

y = -2*x - 1

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Answer:

Why is it so important to know the area of wrapping paper it's just paper?

But anyways the answer is b 521 cm

Step-by-step explanation:

Answer: He rode 70 miles!!!

Answer:

70 miles

Step-by-step explanation:

Mark me as brainliest

Answer:

264 feet.

Step-by-step explanation:

add 250+14=264