6/2 to the power of 7 into a single power

Answer: 128

Step-by-step explanation:

\(4^3 = 4*4*4 = 16*4 = 64\)

\(8^2 = 8*8 = 64\)

\(64+64 = 128\)

The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.

From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.

After reflection, across the x-axis, we see that it was translated down by 2 units.

The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.

The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.

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The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Discounted fees serve to attract more customers, increase rental volume, and foster customer loyalty.

Discounted fees and rental fees in a bike shop are related in the sense that discounted fees usually represent a reduced or discounted rate applied to the standard rental fee. The discounted fees aim to incentivize customers and attract more business by offering lower prices for renting bikes.

Typically, bike shops have standard rental fees for different types of bikes and durations. These fees are set based on factors such as the type of bike, its condition, the rental duration (hourly, daily, weekly), and the market demand. However, bike shops may choose to offer discounts to certain customers or during specific periods to encourage more rentals.

Discounted fees can be applied in various ways:

1. Percentage discounts: The rental fee may be reduced by a certain percentage, such as 10% off the standard rental fee. For example, if the standard rental fee for a bike is $20 per day, a 10% discount would reduce the fee to $18.

2. Fixed amount discounts: A fixed dollar amount may be deducted from the standard rental fee. For instance, a bike shop may offer a $5 discount on all rentals, regardless of the rental duration or bike type.

3. Promotional discounts: Bike shops may introduce promotional offers or special deals that provide discounted fees for a limited time or specific circumstances. For example, they might offer discounted fees during off-peak seasons or for group rentals.

Discounted fees serve to attract more customers, increase rental volume, and foster customer loyalty. By offering lower prices, bike shops can incentivize potential customers to choose their services over competitors or encourage repeat business from existing customers.

discounted fees may reduce the rental revenue per transaction, the goal is to generate higher overall revenue by attracting a larger customer base and increasing rental frequency. The specific relationship between discounted fees and rental fees can vary based on the pricing strategy adopted by the bike shop and the market dynamics in which it operates.

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Answer:

x= -2

Step-by-step explanation:

5x -2 = -10+45=35

Answer:

The only way it could work is if there was a -2

Step-by-step explanation:

Answer:

positively correlated

Step-by-step explanation:

positive correlation: as x increases, y increases

negative correlation: as x increases, y decreases

no correlation: no discernible relationship between variables

The stronger the correlation, the closer the points are to a straight line.

Answer:

\(13x+4y+12\)

Step-by-step explanation:

Combine all the like terms & then solve:

\((4x+2x+7x)+(-5y+9y)+(4+6+2)\)

\(13x+4y+12\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(4x - 5y + 2x + 4 + 6 + 9y +7 x + 2\)

Combining like terms, we have

= \( \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)\)

= \( \: 13x + 4y + 12\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \(\frac{7}{9}\) x + \(\frac{16}{9}\)

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

\((\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )\)

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\(\frac{9-0}{0-7}=\frac{9}{-7}\)

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \(\frac{7}{9}\) will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \(\frac{7}{9}\) (x-3.5)

y - 4.5 = \(\frac{7}{9}\) x-\(\frac{49}{18}\)

y = \(\frac{7}{9}\) x-\(\frac{49}{18}\) + 4.5

y =  \(\frac{7}{9}\) x + \(\frac{16}{9}\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

b > - 9

Step-by-step explanation:

i hope i did okay i try my best

Answer:

A

Step-by-step explanation:

If you simplify, you get: 3q+3-4

Simplify more: 3q-1

most simplified.

PS You get 3q+3 by using the distributive property

The asymptotes of f vertically (x)x=4, -4 are the vertical asymptotes.

An area on a graph where a function approaches infinity or negative infinity is known as a vertical asymptote. It happens when a rational function, which is a function that can be expressed as the quotient of two polynomials, has a denominator equal to zero but a numerator that is not. As a result, there is a noticeable "break" in the graph when the function becomes unbounded. For instance, when x=3, the vertical asymptote of the function 1/(x-3) exists.

As per the data given in the above question are as bellow,

The provided data are,

\(\mathrm{F}(\mathrm{x})=\frac{3 \mathrm{x}^2}{\mathrm{x}^2-16}\)

When it comes to vertical asymptotes, the denominator is zero.

\(\mathrm{x}^2-16 & =0 \\\mathrm{x}^2 & =16 \\\)

x= ±4

x=4,-4

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Ansdwer:

D

Step-by-step explanation:

Answer:

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Step-by-step explanation:

Edge

Answer:

Rectangle

Step-by-step explanation:

Did it on

Option A is correct.

As, Quadrilateral PQRS is a rectangle because it has four right angles.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

Explanation:

Given:

The coordinate of vertices of quadrilateral PQRS are P(3,7), Q(6,-2), R(0,-4), S(-3,5).

Slope for two points (x1,y1) and (x2,y2) is given by:

m = y1-y2/ x1 - x2

.so, we get,

The slope of PQ is = -9/3 = -3

The slope of QR is = -2/-6 = 1/3

The slope of RS is = -3

The slope of SP is = 1/3

we know that,

The slopes of perpendicular lines are opposite reciprocals.

we get,

∴ all pair of sides has slopes that are negative reciprocals;

this means the figure  has 4 right angle, so it is  a rectangle.

Therefore, Quadrilateral PQRS is a rectangle because it has four right angles.

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Answer:

Step-by-step explanation:

Rate of change:

8*15 = 120, so one off fee is:

Therefore the function is:

Correct choice is B

1. The amount of petrol L left is car engine is given by V=36-3t , then number of days required to empty the car engine is equal to 12 days.

2. From the graph ,

a. $8 Australian dollars equal to 10 British pounds and

b. 15 British pounds are equal to $12 Australian dollars.

As given in the question,

1.

Amount of petrol L left is car engine is given by V=36-3t

V  represents the amount of petrol in L and t represents the time number of days.

When car engine get empty amount of petrol V = 0

Therefore,

V= 36 -3t

⇒ 0 = 36 -3t

⇒ 3t = 36

⇒ t= 36 /3

⇒ t= 12 days

2.

From the given graph of Australian dollars and British pounds it is observed that :

a. $8 Australian dollars equal to 10 British pounds and

b. 15 British pounds are equal to $12 Australian dollars.

Therefore,

1. The amount of petrol L left is car engine is given by V=36-3t , then number of days required to empty the car engine is equal to 12 days.

2. From the graph ,

a. $8 Australian dollars equal to 10 British pounds and

b. 15 British pounds are equal to $12 Australian dollars.

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Answer:

106

Step-by-step explanation:

You just have to add all the sides together.
9+31+22+13+18+(31-18)

=106

Amino acids

Step-by-step explanation:

In a DNA molecule Your going to find what's called, Nucleotides, Nucleotides contain phosphate group, a sugar group, and a nitrogen base.

Yes, what you did is correct.

Answer:

w1= -1.4, w2= 3

Step-by-step explanation:

I will assume that "x" is a w since there is no x within the question

Solution

w

1

=−

5

7

,w

2

=3

Alternative Form

w

1

=−1.4,w

2

=3

Evaluate

5×∣4w−1∣=5w+40

Simplify

5∣4w−1∣=5w+40

Rewrite the expression

5∣4w−1∣−5w−40=0

Separate the equation into 2 possible cases

5(4w−1)−5w−40=0,4w−1≥0

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,4w−1≥0

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,w≥

4

1

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,w≥

4

1

w=−

5

7

,4w−1<0

Evaluate

w=3,w≥

4

1

w=−

5

7

,w<

4

1

Find the intersection

w=3

w=−

5

7

,w<

4

1

Find the intersection

w=3 w=− 57

Solution

w

1

=−

5

7

,w

2

=3

Alternative Form

w 1=−1.4,w 2

=3

Answer:

C 24

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

got it right on test

Latanya can use up to 5 gigabytes while staying within her budget.

To determine the number of gigabytes Latanya can use while staying within her budget, we need to write an inequality that represents her monthly cell phone bill.

Let x be the number of gigabytes she uses. Then, her monthly bill can be represented as:

35 + 4x < 55

This inequality represents her monthly bill, which is the flat cost plus the cost per gigabyte, being less than $55.

To calculate the value of x, we'll isolate x on one side of the inequality:

35 -35 + 4x < 55 -35

4x/4 < 20/4

x < 5

So, Latanya can use up to 5 gigabytes while staying within her budget.

Note that this solution is in terms of the number of gigabytes and not the total bill amount. The total bill amount would be 35 + 4x, which should be less than or equal to 55.

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The solutions are:  (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.

a. (A U B)' represents the complement of the union of sets A and B. To find (A U B)', we need to list all the elements in the universal set U that are not in the union of sets A and B. The union of sets A and B, A U B, includes all the elements that are in either set A or set B (or both). So, A U B = {2, 3, 4, 5, 6}. The complement of A U B, (A U B)', will contain all the elements in the universal set U that are not in the set A U B. Therefore, (A U B)' = {1, 7, 8, 9}.

b. (A ∩ B) x A represents the Cartesian product of the intersection of sets A and B with set A. To find (A ∩ B) x A, we need to list all possible ordered pairs that can be formed by selecting one element from the intersection of sets A and B and pairing it with an element from set A. The intersection of sets A and B, A ∩ B, contains the elements that are common to both sets A and B. In this case, A ∩ B = {3, 4}.

Now, we take each element from A ∩ B and pair it with each element from set A. So, (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}. Therefore, (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.

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Answer:

217

Step-by-step explanation:

we split the shape into 2 different rectangles and find the sum of their area.

small rectangle: 7 × 11 = 77

large rectangle 7 × 20 = 140

140 + 77 = 217

Answer:

\(A_{total} = 217\ cm^2\)

Step-by-step explanation:

Step 1:  Determine the area of the bottom rectangle

\(A = l * w\)

\(A = 14\ cm * 11\ cm\)

\(A = 154\ cm^2\)

Step 2:  Determine the area of the top rectangle

\(A = l * w\)

\(A = 7\ cm * (20\ cm - 11\ cm)\)

\(A = 7\ cm * 9\ cm\)

\(A = 63\ cm^2\)

Step 3:  Determine the total area

\(A_{total} = 154\ cm^2 + 63\ cm^2\)

\(A_{total} = 217\ cm^2\)

Answer:  \(A_{total} = 217\ cm^2\)

Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

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