What is the remainder of 7^406 when divided by 11?

since both equations are equal to y...

y = 2x + 10

y = -4x - 2

2x + 10 = y = -4x - 2

2x + 10 = -4x - 2

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

6x = -12

x = -2

______________________________

plug in x = -2 into one of those equations: I will use y = 2x + 10

y = 2(-2) + 10

y = -4 + 10

y = 6

______________________________

okay, so I rechecked my answers several times, and I still got (-2,6)

That MC question has an error since none of the answer choices fit.

Inform your teacher about this.

(I'd say choose that (-3,4) since it works only for one equation y = 2x +10 .... maybe your teacher was supposed to use the other equation instead of y = -4x - 2)

Answer:

9.1%

Step-by-step explanation:

The price of a coffee has dropped to $2.50

Yesterday the price was $2.75

Therefore the percentage decrease can be calculated as follows

= 2.50 - 2.75/2.75 × 100

= -0.25/2.75 ×100

= 0.09090 × 100

= 9.1%

Hence the percentage decrease is 9.1%

Step-by-step explanation:

Howdy there :)

To describe the transformation of the parent logarithmic function, you just need to follow these rules

1. A +  on the outside of the parentheses will mean a vertical shift upwards. As such, the transformation is moved 5 units up. If it was -, it would move 5 units down.

2. The inside of the parentheses will result in a horizontal shift right 4 units. The rule to remember is that these kinds of functions follow x(a - b) rules, meaning that when the 4 is subtracted, we are really talking about a positive four, unlike in standard arithmetic. Vice versa, a + 4 will mean a -4 four, since a - -4 is the same as a + 4. As such, we will move in the positive direction (right) on the y axis.

3. Since x is now -2x, we are reflecting about the y axis, meaning the function will switch from left to right or right to left.

4. The 2 in front of it represents a vertical dilation by a factor of 2. This is because our constant, 2, is greater than 1. If the number were in between 0 and 1, it would represent a vertical compression by the constant number.

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer:

x = 64

Step-by-step explanation:

2/x = 1/32

cross multiply

2 × 32 = x × 1

64 = 1x

64 = x

To prepare the employer's September 30 journal entry to record the payroll taxes expense and related liabilities, we need to calculate the amounts for each tax and liability based on the given information.

Let's break it down step by step:

Calculate the FICA Social Security taxes:

The FICA Social Security tax rate is 6.2%, and it applies to the first $137,700 paid to the employee. Since we have one employee, we need to calculate 6.2% of the employee's gross pay. Let's assume the employee's gross pay is $X.

FICA Social Security taxes = 6.2% * $X

Calculate the FICA Medicare taxes:

The FICA Medicare tax rate is 1.45%, and it applies to the entire gross pay of the employee.

FICA Medicare taxes = 1.45% * $X

Calculate the FUTA taxes:

The FUTA tax rate is 0.6%, and it applies to the first $7,000 paid to the employee.

FUTA taxes = 0.6% * $7,000

Calculate the SUTA taxes:

The SUTA tax rate is 5.4%, and it applies to the first $7,000 paid to the employee.

SUTA taxes = 5.4% * $7,000

Thus, the journal entry: Date: September 30

Payroll Taxes Expense $X

FICA Social Security Taxes Payable $A

FICA Medicare Taxes Payable $B

FUTA Taxes Payable $C

SUTA Taxes Payable $D

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The probability that 2 of the 9 voters will prefer Candidate A is 0.30033

Given that 25 % of voters prefer candidate A

Total number of voters = 9

Do we have to calculate the probability that 2 of the 9 voters will prefer Candidate A =?

In this question, we used binomial distribution to find the probability that 2 of the 9 voters will prefer candidate A.

The binomial distribution follows the probability  mass function of:

⁹C₂ * (0.25) ² *  (0.75)⁷ =>

⁹C₂  = (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/ (7 * 6 * 5 * 4 * 3 * 2 * 1) (2 * 1) =>

⁹C₂  = 9 * 8/2 = 36

Now, 36 * (1/4)² * (3/4)⁷ = 0.30033

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

2nd Graph

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

When we apply the Vertical Line Test to the 1st graph, it does not pass (x = 1). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 2nd graph, it does pass. Therefore, the 2nd graph is a function.

When we apply the Vertical Line Test to the 3rd graph, it does not pass (x = 2). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 4th graph, it does not pass (x = -3). Therefore, the 4th graph is not a function.

Answer:

2nd graph is correct

Step-by-step explanation:

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

Answer:

the answer is d because it is

Answer:

D is the slope

Step-by-step explanation:

If A(3,-4) and B(13,11), the coordinates of the point 3/5 from A to B is, (9, 5). So option B is correct

The equation of a line is a relationship between x and y coordinates.

Section formula for a point which divides line joining points into m:n ratio,

(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }

Given that,

Two points,

A(3, -4) and B(13, 11),

the coordinates of the point 3/5 from A to B

Difference, in x coordinates

13 - 3 = 10

It is 3/5 from A to B

So,    x coordinate is,3 + 10 × 3/5 = 9

Difference, in y coordinates

11 -(-4) = 15

It is 3/5 from A to B

So,    y coordinate is, -4 + 15 × 3/5 = 5

Hence, the point is (9, 5)

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Answer: Hmm this question was very hard.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x=-2 or x=14

Step-by-step explanation:

since it's absolute value, this actually has two equations:

x-6=8

and

x-6=-8

we solve x-6=8 by adding 6 to both sides which equals x=14

we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2

I hope this helps! and please mark brainliest!

Answer:

Step-by-step explanation:

The equation you provided is LM = 2, MO = 1, LN = x+1, NP = x.

The equation states that LM (the measure of angle LM) is equal to 2, MO (the measure of angle MO) is equal to 1, LN (the measure of angle LN) is equal to x+1, and NP (the measure of angle NP) is equal to x.

To find the value of x, you can use the equation LN = x+1 and NP = x,

x+1 = x

So x=1.

Therefore, the measure of angle LN is x+1 = 1+1 = 2, and the measure of angle NP is x = 1.

Answer: \(-1\)

Step-by-step explanation:

Using the quotient rule,

\(h'(x)=\frac{2f(x)g'(x)-2g(x)f'(x)}{(2f(x))^2}\\\\h'(3)=\frac{2f(3)g'(3)-2g(3)f'(3)}{(2f(3))^2}\\\\=\frac{2(-2)(-1)-2(3)(2)}{2(-2)^2}\\\\=-1\)

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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Work Shown:

In the numerator, we have 2^2*x^2, which is really just 4x^2. Replace x with 3 and we get 4*x^2 = 4*3^2 = 36.

For the denominator, xy^2, we get

x*y^2 = 3*2^2 = 12

So far we have,

\(\frac{2^2x^2}{xy^2} = \frac{4x^2}{xy^2} = \frac{36}{12} = 3\\\\\text{ or simply} \\\\\frac{2^2x^2}{xy^2} = 3\)

when x = 3 and y = 2.

Square both sides to end up with...

\(\frac{2^2x^2}{xy^2} = 3\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 3^2\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 9\)

(a) x -5 -3 0 2 4

   y 4 0 -6 -10 -14

(d) x -14 -10 -6 0 4

   y 4 2 0 -3 -5

These tables could be used to verify that the functions they represent are inverses of each other

To verify if two functions are inverses of each other, we need to check if the composition of the two functions gives the identity function.

In other words, if f and g are two functions, then we need to check if f(g(x)) = x and g(f(x)) = x for all x in their domains.

We can create two tables, one for f and one for g, and use them to compute the compositions.

If the compositions give the identity function, then the functions are inverses of each other.

Based on this, the two tables that could be used to verify that the functions are inverses of each other are:

(a) x -5 -3 0 2 4

    y  4 0 -6 -10 -14

(d) x -14 -10 -6 0 4

    y 4    2   0 -3 -5

We can use the values in these tables to compute the compositions f(g(x)) and g(f(x)) and check if they give the identity function.

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Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

Step-by-step explanation:

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Answer:

1 1/2 pinyt

Step-by-step explanation:

Answer:

D) 1/9

Step-by-step explanation:

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer:

16 minutes on the elliptical trainer and 32 minutes on the treadmill.  

Step-by-step explanation:

We have the following relation for the training in both machines:

\( 400 cal = 9 cal/min*t_{1} + 8 cal/min*t_{2} \)    (1)

Where:

t₁: is the time spent on the elliptical trainer

t₂: is the time spent on the treadmill    

With:

\( t_{1} + t_{2} = 48 min \)    (2)  

From equation (2) we have:

\( t_{1} = 48 min - t_{2} \)    (3)

By entering equation (3) into (1):

\( 400 cal = 9 cal/min*(48 min - t_{2}) + 8 cal/min*t_{2} \)  

\( 400 cal = 432 cal - 9 cal/min*t_{2} + 8 cal/min*t_{2} \)

\( t_{2} = \frac{32 cal}{1 cal/min} = 32 min \)

Now, we can find t₁:

\( t_{1} = 48 min - t_{2} = 48 min - 32 min = 16 min \)              

Therefore, you should spend 16 minutes on the elliptical trainer and 32 minutes on the treadmill.

I hope it helps you!

Answer:

the answer is b

Step-by-step explanation:

Answer:

C) (3,0)

Step-by-step explanation:

Multiply the first equation by 3

3(x+y=3)

3x+3y=9

-3x-2y=-9

y=0

Now that we know that y=0, we can substitute it back in the equation.

x+0=3

x=3

so the correct answer is (3,0)

Answer:6 4

Step-by-step explanation: