Determine whether each function is even, odd, or neither.

F(x)=√x^2 -9
g(x) = |x-3|
F(x)=x/x^2 -1
g(x) = x + x² ​

Answer:

7π/6

Step-by-step explanation:

The way to convert radian to degree is to convert π to 180 degrees. We know that π radian is equal to 180 degrees and therefore.

A) 7(180)/6 = 7(30) = 210 degrees

B) 6(180)/7 = 1080/7 = approx 154.2 degrees

C) 7(180)/3 = 7(60) = 420 degrees

D) 3(180)/7 = 540/7 = approx 77.1 degrees

When we convert π rad to 180 degrees and evaluate, we will get the rad value in degree form.

Therefore, 7π/6 = 210 degrees. Hence, A is the answer.

Answer:

\(\large\underline{\underline{\maltese{\pink{\pmb{\sf{\: A)\frac{ 7\:\pi}{6}}}}}}}\)

Step-by-step explanation:

We know that, π radian = 180°. So, at first, let's substitute the value of π as 180° in the given options.

We can see that, 7π/6 when converted to its degree form gives 2210° as the answer.

•°• A) 7π/6 is the correct answer.

______

Hope it helps!

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\(\mathfrak{Lucazz}\)

We have that the equation to find the volume of a hexagonal prism is the following:

where h is the height of the prism and B is the base area. In this case, we have:

then, the volume is:

• therefore, the volume of the hexagonal prism is 198.25 cm^3

Answer:

1/52

Step-by-step explanation:

There are 52 cards you can draw from, 3 is one of them. 7 is another possibility.

Answer:

4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The domain exists on all real numbers i.e {x∈R}∈

The range exists all on real numbers except at y = 0

Domains are all input values of a function for which the function exists while ranges are all the output values for which the function exists.

Since the x-intercept of a function exists at where y = 0, this means that the point where a function does not have any x-intercepts are all other points on the graph except at y = 0.

The following statements are therefore true;

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Answer:

2 is GCF

Step-by-step explanation:

The greatest common factor of 72 and 34 is 2

What is greatest common factor ?

GCF means Greatest Common Factor.

By one examples we can understand this concept more easily.

We are taking four numbers 20,50,70,100.

By prime factorisation,

\(20 = 2 \times 2 \times 5 \\ 50 = 2 \times 5 \times 5 \\ 70 = 2 \times 5 \times 7 \\ 100 = 2 \times 2 \times 5 \times 5\)

Here greatest common factor of 20,50,70 and 100 is \((2 \times 5) = 10\)

So,GCF of 20,50,70 and 100 is 10.

Here numbers are 72 and 34

By prime factorisation,

\(72 = 2 \times 2 \times 2 \times 3 \times 3 \\ 34 = 2 \times 17\)

So, greatest common factor of 72 and 34 is 2

So,GCF of 72 and 34 is 2

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Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

The revenue the company should recognize on July 1 is $420.

Revenue recognition refers to the accounting principle that outlines the conditions under which a company recognizes revenue on its financial statements. Generally, revenue is recognized when the goods or services are delivered to the customer and the payment is reasonably assured.

To determine the revenue the company should recognize on July 1, we need to understand the revenue recognition principles.

In this case, the company is offering a special package that includes satellite TV equipment for $420 and two years of service free.

The company will deliver the equipment to the customer and the customer will receive two years of service for free.

Since the two years of service are free, the company cannot recognize revenue for that portion of the package.

Therefore, the revenue the company should recognize on July 1 is only for the equipment, which is sold for $420.

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Answer:

Step-by-step explanation:

Hey there,
Here's my reasoning regarding the problem:

Let's assume that the watch at the time it was lost was x years old.
When it was picked it was 3 times as old as it was when it was lost therefore it's currently 3x. The time between when it was lost and when it was found is 38 years. We can break this down into a simple algebraic formula:

3x - x = 38

2x = 38

x = 19

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

Answer:

The length of the longer base is 5mm.

Step-by-step explanation:

The area of a trapezoid:

\(A=\frac{1}{2}h(b_1+b_2)\)

With the given information, we can write some equations to represent the problem:

\(b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)\)

There's only 2 equations and 2 variables, so it's a relatively simple system of equations to solve. Ill solve by substitution:

\(b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)\\\\48=\frac{1}{2}(12)((2b_2-7)+b_2)\\48=(6)(3b_2-7)\\48=18b_2-42\\18b_2=90\\b_2=5\)

Now, plug that back into the first equation to solve for the other variable:

\(b_2=5\\b_1=2b_2-7\\\\b_1=2(5)-7\\b_1=10-7\\b_1=3\)

Now we have the measures of both of the bases.

To check that, calculate the area using these bases:

\(A=\frac{1}{2}(12)(3+5)\\A=6(8)\\A=48\)

It works fine.

Answer:

y=1/2x+11

Step-by-step explanation:

use the slope of one half and the point and put them into point slope form.

y-y1 = m(x-x1) or y-16 = 1/2(x-10), distribute 1/2

y-16=1/2x - 5, add 16 to both sides

y = 1/2x + 11

Answer:

No association

Explanation:

If there is a positive linear association, the graph would show something close to a straight line with a positive slope.

In the same way, if there is a negative linear association, the graph would be a straight line with a negative slope

If there is a nonlinear association we would see a curve.

Since all the data is dispersed in the graph, we can say that the best description of this relationship is No association.

Answer:

Mr. Reihman's account will outgrow Mr. Van Ausdall's account after approximately 51.54 years.

Step-by-step explanation:

We can use the formula A = Pe^(rt) to calculate the balance (A) of each account, where P is the principal, e is the base of the natural logarithm (approximately 2.71828), r is the continuous interest rate, and t is the time in years.

For Mr. Van Ausdall's account, we have:

A = 35,000*e^(0.05t)

For Mr. Reihman's account, we have:

A = 10,000*e^(0.07t)

We want to find the time when Mr. Reihman's account outgrows Mr. Van Ausdall's account. This means we want to find the value of t such that:

10,000e^(0.07t) > 35,000e^(0.05t)

Dividing both sides by 10,000*e^(0.05t), we get:

e^(0.02t) > 3.5

Taking the natural logarithm of both sides, we get:

0.02t > ln(3.5)

Solving for t, we get:

t > ln(3.5)/0.02 ≈ 51.54

Therefore, Mr. Reihman's account will outgrow Mr. Van Ausdall's account after approximately 51.54 years.

Answer: y=4x-2

Step-by-step explanation:

Use the y=mx+b template to write the equation out. M is the slope which should be in front of x. This is why y=4x-2 is correct

For parallel lines, gradients (slope) must be the same.

The lines given in multiple choice, no line with the same gradient/slope as line y = 3x - 2.

Step-by-step explanation:

From y = 3x - 2,

The slope = 3

Let's check slopes of lines from multiple choice:

From first line

4x + 2y = 5

2y = -4x + 5 (dived 2 both sides)

y = - 2x + 5/2

The slope = -2

Continue with remaining three equations you get slopes: -1/2, -4 and 4.

Hence no equations above represent parallel equation to y = 3x - 2

The option that should be used for the IV order for the hypokalemic patient would be A. 0. 5 %.

The concentration of the stock solution signifies the proportion of potassium chloride within the total volume or quantity of the solution. 0.5% concentration implies that 0.5 grams of potassium chloride is present within 100 mL of the solution.

The 0. 5 % solution is already the correct concentration and can be added directly to the IV minibag. Selecting the appropriate concentration necessitates careful consideration of the desired potassium chloride dose for the patient and the desired volume to be incorporated into the IV minibag.

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Average rate of return for 3D Printer is 4% and for Truck is 9%.

Average income = Estimated total income/ useful life.

For 3D Printer,

Average Income = 4160/ 4

Average Income = $1040

For Truck,

Average Income = 15120/ 7

Average Income = $2160

Average Investment = (Investment + residual value)/ 2

For 3D Printer,

Average Investment = (52000 + 0)/ 2

Average Investment = $26000

For Truck,

Average Investment = (48000 + 0)/ 2

Average Investment = $24000

Average rate of return = Average Income/ Average Investment

For 3D Printer,

Average rate of return = 1040/26000

Average rate of return = 4%

For Truck,

Average rate of return = 2160/24000

Average rate of return = 9%

Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.

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Step-by-step explanation:

the way I understand it, this means in how many ways can we pick 2 of the 7 horses, when the sequence of these 2 horses matters, but the sequence of the remaining 5 horses does not matter (as they finishing tied or not even starting is in that sense the same thing).

so, we are looking for the permutations of 2 out of 7 elements.

that is

7! / (7-2)! = 7×6 = 42

there are 42 different ways for these 7 horses to cross the finish line in the described constellation.

Answer:

60cm²

Step-by-step explanation:

2(1/2×4×3)+(3×6)+(5×6)

\(( \frac{ - 72}{2} )^{2} \\ = \frac{ - 72 \times - 72}{2 \times 2} \\ = \frac{5184}{4} = 1296\)

the answer of the equation is 1296

Answer:

B. \(\frac{R'T'}{RT} = \frac{15}{8}\)

Step-by-step explanation:

The dillation implies that both triangles RST and R'S'T' are similar and satisfies the following relationships:

(i) \(\frac{R'T'}{RT} = \frac{S'T'}{ST} = \frac{R'S'}{RS} = k\)

(ii) \(k > 1\) (Enlargement)

There, the only option that fulfills this requirements is B. The correct answer is \(\frac{R'T'}{RT} = \frac{15}{8}\).

Answer:

The graph that have an exports growth model is A.

To create the table of values, we need to find the coordinates of the given points.

The coordinatesare given by (x,y), where x ican be found by drawing an imaginary vertical line passing through the point, and the x-value is the value of the x-axis where the line intercepts the x-axis.

The y-coordinate is given by the point of interception on the y-axis of a horizontal line passing through the point, so, for the fir tpoint the coordinates are:

If we apply the same procedure to the next points, we can find the following coordinates:

Thus, th table of values will be:

x y

-2 5

-1 4

0 3

1 2

2 1