100 POINTS AND BRAINLIEST. I need help ASAP.
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Consider the table of values for functions f(x) and g(x).

x f(x) g(x)
−2 14 4
−1 12 1
0 1 0
1 2 1
2 4 4
3 8 9
4 16 16
Which statements are most likely true based on the given values?

Select each correct answer.


f(x) is a polynomial function.

f(x) is an exponential function.

g(x) is a polynomial function.

g(x) is an exponential function.

The output values of g(x) will remain greater than those of f(x) as the input values continue to increase.

The output values of f(x) will surpass those of g(x) as the input values continue to increase.

Answer:

10.8

Step-by-step explanation:

using Sine Law

a/sin A = b/sin B = c/sinC

a = 8

A = 40°

b = ?

B = 120

substitute the values and you will get the answer 10.778370842670, rounding to the nearest 10ths.

10.8 is the measure of the value of x to the nearest tenth.

The given diagram is a triangle with side 8 and angles 40 and 120 degrees.

Applying the sine rule, we will have:

x/sin120 = 8/sin40

Cross multiply to have:

8sin120 = xsin40

x = (8sin120)/sin40

x = 6.9282/0.6428

x = 10.8

Hence the measure of the value of x to the nearest tenth is 10.8.

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Answer:

Option D will be your answer

▪ no solution

Step-by-step explanation:

hope it's helpful...

Answer:

$15,510.00

Step-by-step explanation:

\(\frac{3}{8}\) x \(\frac{41360}{1}\) = \(\frac{124080}{8}\)= 15510

Answer:

b. 21

Step-by-step explanation:

The first five mutiples of 7 are: 7, 14, 21, 28, 35. You can get these by multiplying 7 to any integer.

In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.

Let's add first.

7+14+21+28+35 = 105

Let's divided 105 by 5, which is the number of the multiples of 7.

105÷5 = 21

The answer is 21.

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

The answer is 300.

Step-by-step explanation:

A kilometer is 1000 meters, therefore 0.3 km x 1000 = 300 meters

Answer:

I think it's -4+10=6

Step-by-step explanation:

I'm not sure. I'm sorry if it's wrong but I'm pretty sure it's right.

Answer: 20

Step-by-step explanation:

because Juanita has a aquarium that is 5 feet LONG, 4 feet WIDE, and 2 feet DEEP, in part b it asks what if the water is 1 foot DEEP so what they're trying to say is what if you replace the original 2 feet DEEP with 1 foot DEEP?

so it would be length x width x depth

5x4x1=20

so the volume is 20ft^3

Decagon has a total of 5 reflection symmetries

A reflection symmetry of a shape is a line that divides the shape into two halves that are mirror images of each other. To find the number of reflection symmetries of the decagon, we can draw lines through the center of the decagon that pass through pairs of opposite vertices.

We can draw a total of 5 lines through the center of the decagon that pass through pairs of opposite vertices. Each of these lines is a reflection symmetry of the decagon. Therefore, the decagon has a total of 5 reflection symmetries.

A rotational symmetry of a shape is a rotation about a fixed point that leaves the shape unchanged.

To find the number of rotational symmetries of the decagon, we can count the number of times we can rotate the decagon about its center by 36 degrees (which is the central angle of the decagon) and obtain the same shape. In this case, we can rotate the decagon about its center by 36 degrees 10 times and obtain the same shape each time.

A decagon shaped like a five-pointed star has 10 sides and 5 vertices, and it looks like this:

unitsize (1.5 cm);

pair A, B, C, D, E, F, G, H, I, J;

A = dir(108);

B = dir(72);

C = dir(36);

D = dir(0);

E = dir(-36);

F = dir(-72);

G = dir(-108);

H = dir(-144);

I = dir(-180);

J = dir(-216);

draw(A--B--C--D--E--F--G--H--I--J--cycle);

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The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Pythagoras - Has a theorem named after him

Thales - Contributed to the five basic theorems of geometry

Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.

Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.

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Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Answer:

Slope of line g = \(1\frac{1}{3}\)

Step-by-step explanation:

* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .

∴ \(-\frac{3}{4}\) × slope of line g = -1

Slope of line g = -1 ÷ \(-\frac{3}{4}\) = 4/3 = \(1\frac{1}{3}\)

The football is approximately 96.4 feet from the base of the goal post.

The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:

tan(theta) = opposing / adjacent.

When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.

Given, the angle of elevation is 16 degrees 42'.

That is,

Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees

Using tangent function we have:

tan(16.7) = 30/x

x = 30 / tan(16.7)

x = 96.4 feet

Hence, the football is approximately 96.4 feet from the base of the goal post.

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Answer:

B. c // d

Step-by-step explanation:

When ∠1 = ∠3, it means that they are corresponding angles and for that to be true, there must be a pair of parallel lines and one line to cut across both of the lines. Thus, we can conclude that c and d are the parallel lines and a is the line that cut across both of them, creating the corresponding angles.

221643611 ways of 6 numbers can be​ chosen

An arrangement of objects where the order in which the objects are selected does not matter.

Given,

A certain lottery requires players to select 6 different​ numbers in any​ order, from 1 to 53 inclusive.

We need to find different sets of 6 numbers can be​ chosen

Total=53

Numbers=6

The first number can be any of the 53 numbers

The second number can be any of the 53 numbers

The third number can be any of the 53 numbers

The fourth number can be any of the 53 numbers

And so on

Hence, number of selections is:

53×53×53×53×53×53

53⁶

221643611 ways

Hence, 221643611 ways of 6 numbers can be​ chosen

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Answer:

1,05

Step-by-step explanation:

9514 1404 393

Answer:

  1.05

Step-by-step explanation:

The relative errors are ...

Of these choices, the best approximation is 1.05.

_____

A very good rational approximation of π is 355/113, which has a relative error of about 0.0000085%. This makes 355/339 a good approximation of π/3.

The relative error in the value n is ...

  (3n/π -1) × 100%

C=25x+75 would be the equation

Step-by-step explanation:

75 dollars is the flat out fee right away and the 25 is for how many hours spent fixing the drain

Answer:

Step-by-step explanation:

Using the given points find the slope and the y- intercept.

The slope is:

The y- intercept is:

The line is:

Slope

Equation in point slope form

If principal is $2,658 and rate of interest 9% then the value of  the account balance is approximately $10,253 by using continuous compound interest formula.

Recurring interest is interest calculated on principal plus all interest and other interest. The idea is that lenders always receive interest, not individually at specific times.

The formula for continuous compound interest :

  A=    Peˣⁿ                          

Where,

A =Amount of money  after a certain amount of time

P= principal or the amount of money you start with

e =Napier's number, which is approximately 2.7183

x =Interest rate

n =Amount of time in years.

Use the continuous compound interest formula :

Given  P= 2658

x =9% =   = 0.09

n = 15

e = 2.7183

By using

A=    Peˣⁿ  

A= (2658)(2.7183)⁰°⁰⁹¹⁵

A =10,253 (approximately)

Hence, the value of account balance after 15 years is approximately $10,253

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Answer:

x=0, y=0

Step-by-step explanation:

① Label the 2 given equations.

x -2y= 0 -----(1)

3x +y= 0 -----(2)

② Make x the subject of formula in equation (1).

From (1): x= 2y -----(3)

③ Substitute equation (3) into (2):

3(2y) +y= 0

Expand:

6y +y= 0

Simplify:

7y= 0

y= 0

④ Find x.

Subst. y=0 into (3):

x= 2(0)

x= 0

Answer:

c) (6,5)

Step-by-step explanation:

The horizontal axis represents x values

The vertical axis represents y values

Answer:

\(\sf \cos ^2\left(x\right)\)

Explanation:

\(\sf \sin \left(x\right)\csc \left(x\right)+\cos \left(\frac{3\pi }{2}-x\right)\sin \left(x\right)\)

\(\sf \sin \left(x\right)\csc \left(x\right)+\left(-\sin \left(x\right)\right)\sin \left(x\right)\)

\(\sf \sin \left(x\right)\csc \left(x\right)-\sin ^2\left(x\right)\)

\(\sf \cos ^2\left(x\right)\)

Answer:

\(\cos^2(\theta)\)

Step-by-step explanation:

Identities used:

\(\csc(\theta)=\dfrac{1}{\sin(\theta)}\)

\(\cos(\frac{3 \pi}{2}-\theta)=\cos(\frac{3 \pi}{2})\cos(\theta)+\sin(\frac{3 \pi}{2})\sin(\theta)\)

\(\textsf{As }\cos(\frac{3 \pi}{2})=0\textsf{ and }\sin(\frac{3 \pi}{2})=-1\)

\(\implies \cos(\frac{3 \pi}{2}-\theta)=0 \times\cos(\theta)+-1\times\sin(\theta)=-\sin(\theta)\)

\(\sin^2(\theta)+\cos^2(\theta)=1 \implies \cos^2(\theta)=1-\sin^2(\theta)\)

Therefore,

\(\sin(\theta) \times \csc(\theta)+\cos(\frac{3 \pi}{2}-\theta)\times\sin(\theta)\)

\(=\sin(\theta) \times\dfrac{1}{\sin(\theta)}-\sin(\theta)\times\sin(\theta)\)

\(=1-\sin^2(\theta)\)

\(= \cos^2(\theta)\)

Answer:

4 2/3

Step-by-step explanation:

i took the test

Answer:

Day 6

Step-by-step explanation:

Every 3 days 1 pound of hay is used every day 1 pound of grain is used. There are 10 pounds of grain and 8 pounds of hay. On the 6th day there are 6 pounds of hay left and 6 pounds of grain left.

The number of days after which the amount of hay and the grain will be the same is 12 days.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Hay = 8 pounds

1 pound = 3 days

From the graph,

Grain = 10 pounds

5 pounds left after 10 days

1 pound = 2 days

Now,

The number of days x after which the pounds left will be the same.

(-1/3)x + 8 = 10 - (1/2)x

(-1/3)x + (1/2)x = 10 - 8

(-2x + 3x)/6 = 2

x/6 = 2

x = 12

Thus,

After 12 days the hay and the grain left over will be the same.

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Answer:

Step-by-step explanation:

There are 420 students.

41% are first year students.

41% = 41/100

420 * 41/100 = 172.4

What do you do about the 0.4? I would just round to the nearest whole number which is 172.

There are 420 - 172 = 248 who are not first year students.

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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