which of the following represents a function​

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

The expression that does not represent the same function as y = 2x + 4 is B, which is y = 2x - 4.

A. y = 2(x + 2)

With x = 1, we obtain y = 2(1 + 2) = 6.

The resultant value of y is 6, which corresponds to the value of y when x = 1 for the formula y = 2x + 4. As a result, y = 2x + 4 is represented by the same function as this expression.

B. y = 2x - 4

With x = 1, we obtain y = 2(1) - 4 = -2.

When y = 2x + 4 and x = 1, the value of y obtained is -2, which is not identical to the value of y when x = 1. The function represented by this statement is therefore distinct from that of y = 2x + 4.

C. y = 2(x + 4) - 8

With x = 1, we obtain y = 2(1 + 4) - 8 = 2.

The obtained value of y is 2, which differs from the value of y when

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Answer:

Your answer is

\(2 (\frac{2}{5} x + 2) = \frac{4}{5} x + 4\)

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

Answer:

47

Step-by-step explanation:

The median is the number which is in the "center" of the number set when listed from least to greatest (or I guess vice versa)

So first you have to list them:

33, 34, 38, 42, 47, 47, 48, 49, 51

Then find the number at the center of the number set. "47"

The median is 47.

Answer:

y=0.8x+30.4

Step-by-step explanation:

You know that the slop is -0.8 and you know one point on the line which is (2,32). That means, you have to use the point slope formula which is y-y1=m(x-x1) where m is the slope. Plug the point and the slope into the formula to get y-32=-0.8(x-2). Simplify this to get y-32=-0.8x-1.6. Isolate the y by adding 32 in each side. This will make the equation y=0.8x+30.4. Therefore the equation is y=0.8x+30.4.

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Answer:

90 degrees but mom not too sure

The answer for lateral surface area of the Triangular prism is 180 cm²

Any solid object's lateral area can be calculated using the lateral area formula. Any figure's lateral area only includes the non-base faces. Calculating the lateral surface area of various forms, such as the cuboid, cube, cylinder, cone, and sphere, is made easier using lateral area formulas.

The lateral area for a triangular prism

A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA). Due to the two dimensions involved in its calculation, we measure it in square units.

The total of the three regions is the triangular prism's lateral area. Consequently, the triangular prism's lateral area formula is

Triangular prism lateral surface area (LSA) = ah + bh + ch (or) (a + b + c) h.

We are aware that the perimeter of the base is (a + b + c) (triangle). Hence,

Triangular prism's lateral surface area (LSA) is equal to the product of the base's perimeter and the prism's height.

base perimeter × height

Explanation

The Given Image of the solid is Matching to a prism.so we are calculating the lateral surface area of the prism

The dimensions of each base are:

a = 5cm

b = 4 cm

c = 3 cm

The height of the triangular prism = 15cm.

Thus, the lateral area of triangular prism = (a + b + c ) h

= (5 + 4 + 3) 15

= (12) 15

= 180 cm²

Answer: The lateral area of the given triangular prism = 180 cm²

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Based on law of sine, the value of angle C is equal to 94.5 degree.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)

we have, by law of sines,

We will use the law of sines to find c as;

sin c                sin 97.5

--------------- = -------------

14.5                      13.7

(13.7)sin c= 14.5 sin 97.5

sin c =  14.5 sin 97.5 / (13.7)

sin c = - 0.1168

Angle c = 94.5

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In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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Answer:  

Step-by-step explanation:

3(4x+2)

12x + 6

Answer:

12x+6

Step-by-step explanation:

Just use distributive property!

3 times 4x is 12x

3 times 2 is 6

Put them together and you get 12x+6

I hope this helps, and have a great day!

Answer:

[366]+[-12]

Step-by-step explanation:

that will be the answer

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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the answer is 30 you divide

The exponential growth formula is 3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet is  63.16 years.

The exponential growth formula usually has this form:

FV = P (1 + r)^n

3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet  = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years

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A hardcover book, which we shall call c, is sold for $8, while a paperback which we shall call p, is sold $7. If the store sold 10 books in one day, that means they sold

If they sold a totalof $76, that means c times $8 added to p times $7 equals a total of $76. Therefore;

We can now solve both equations simultaneously as follows;

Answer:

x = 11

Step-by-step explanation:

4x - 7 = 37

Take 7 to the right side.

4x = 37 + 7

4x = 44

Divide both sides by 4.

x = 11

Answer:

5: 44  6: 1.762 x 10^3

Step-by-step explanation:

5:

64 / (4x4) x (3x3) + (2x2x2)

64 / 16 x 9 + 8

4 x 9 + 8

36 + 8

44

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer: 3x+15

Step-by-step explanation:

(5x - 3x + 7) - (-3x + 2x - 8)=

2x + 7 +3x - 2x + 8=

2x+3x-2x+7+8=3x+15

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:

47, 17

Step-by-step explanation:

Let the numbers be x and y. Then, x+y=64 and x-y=30. Adding these equations, we get 2x=94, and thus x=47.

It follows that y=17.

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

 C = 2πr = πd

 C = 2(3.14)r = 6.28r   or   C = 3.14d

 where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

 r = 4.2   ⇒   C = 6.28×4.2 = 26.376

 d = 7.4   ⇒   C = 3.14×7.4 = 23.236

 d = 11   ⇒   C = 3.14×11 = 34.54

 r = 9.5   ⇒   C = 6.28×9.5 = 59.66

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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Answer:

9 4/5

Step-by-step explanation:

I hope that helps! :)

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

The y-coordinate is -4.5

Step-by-step explanation:

Point has x-coordinate -3 and y-coordinate -4.5.

Answer:

the y-coordinate is  -4.5

Step-by-step explanation:

the x-coordinate is -3

the y-coordinate is in between -4 and -5. from here one can assume it is half way unless there is information that has not been stated.

In between -4 and -5 is -4.5 so the y-coordinate is -4.5

the coordinate of point 7 is ( -3, -4.5)