Let f(x)=x^(2)+5 and g(x)=x-7. Find (f(x))/(g(x)). What is the domain?

slope = 5/2

The points given: (3, 8)and (1, 3)

Using the slope formula:

Answer:

216.

Step-by-step explanation:

These numbers are perfect cubes starting with 2^3.

2^3, 3^3,  4^3,  5^3 so the next one is 6^3, which is 216.

Answer:

100

Step-by-step explanation:

its impossable

The new volume of the cylinder is $100$ cubic feet.

Let the original radius and height of the cylinder be $r$ and $h$, respectively. Therefore, the original volume of the cylinder is given by $\pi r^2 h = 100$. After the radius decreases by $10%$ and the height increases by $10%$, the new radius and height become $0.9r$ and $1.1h$, respectively. The new volume of the cylinder can be calculated as $\pi (0.9r)^2 (1.1h) = 0.891\pi r^2 h$. Since $0.891\pi r^2 h = 100$, the new volume of the cylinder is $100$ cubic feet.

Therefore, the new volume of the cylinder is the same as the original volume, i.e., $100$ cubic fee

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Answer:

Step-by-step explanation:

x=100 bc like 180-80=100

y=80 bc vertical angles

Answer:

y = 80*

x = 100*

Step-by-step explanation:

y is the same to the 80* angle and therefore x is 100*

180* - 80 = 100*

Question 5

Vertical angles are congruent. Therefore, \(3y=\boxed{150}\). The sum of two supplementary angles equals \(\boxed{180^{\circ}}\).

Therefore, \(6x+150=\boxed{180}\)

Question 6

\(\angle b-14=90-\angle b\\\\2\angle b=104\\\\\angle b=\boxed{52^{\circ}}\)

Question 7

\(\angle d+32=180-\angle d\\\\2\angle d=146\\\\\angle d=\boxed{73^{\circ}}\)

Question 8

\(7x-80=3x\\\\-80=-4x\\\\x=20\\\\\implies \boxed{m\angle 1=m\angle 3=60^{\circ}}\)

Answer:

x = (465-9)/8

Step-by-step explanation:

1) 465 students in total and 9 couldn't go into a bus, to get those in a bus, take 9 away from 465 to get 456.

2) 8 busses with 456 students filling each bus is just 456/8 which equals 57

3) Answer is (465-9)/8

After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

Answer:

6h = 36

Step-by-step explanation:

h is for the number of hours she worked each day. She worked in 6 days for 36 hours so 6h = 36.

To solve this expression, we can use the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right).

Following this order, we first need to evaluate the exponent, which gives:

1000^3 = 1,000,000,000

Then, we can substitute this value back into the expression:

1000 + 1000^3 = 1000 + 1,000,000,000 = 1,000,000,000 + 1000 = 1,000,001,000

Therefore, 1000 + 1000^3 equals 1,000,001,000.

Answer: 8000000000

Step-by-step explanation:

The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.

15 different 2-member committees are possible.

C(6,2) = 6!/(4!2!) = 15.

15 different 2-member committees are possible.

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Answer:

My answer is 8. I just rounded if you don't want to round just go with 7.5.

Answer:

7.5 units

Step-by-step explanation:

It is hard to explain...

True, a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage.

A proportion is a mathematical relationship between two numbers, showing that one number is a part of the other or that they share a certain ratio. It compares two ratios and checks if they are equal. For example, if we have two ratios 1:2 and 2:4, these ratios are in proportion because they have the same relationship (1 is half of 2, and 2 is half of 4).
To express a proportion as a percentage, follow these steps:
Convert the ratio to a fraction: In our example, the ratio 1:2 can be converted to the fraction 1/2.
Divide the numerator by the denominator: In this case, we will divide 1 by 2, which equals 0.5.
Multiply the result by 100: Finally, multiply 0.5 by 100 to get the percentage, which is 50%.
So, the statement is true that a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage. This concept is essential in various mathematical and real-life applications, such as calculating discounts, tax rates, and percentages of various quantities.

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Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

Answer:

1, 2, and 3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

They have 4 because when you add 2+2 you get the sum of 4.

Answer:

4

Step-by-step explanation:

Just add the apples together. Although if this is a riddle then I don't know. They use past tense saying that they HAD 2 apples. I highly doubt this is a trick question though.

Pua will use 13, 1/4 cups of oatmeal.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Pua needs 3\(\frac{1}{4}\) cups of oatmeal.

The number of 1/4 cups of oatmeal,

she will use,

= 13/4 ÷ 1/4

= 13

Therefore, she will use 13 cups.

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Answer:

\(a_1 = 5\)

\(a_n = a_{n-1} + 2\)

Step-by-step explanation:

Given

\(a_n = 5 + (n - 1)2\)

Required

The equivalent recursive function

The general explicit function is:

\(a_n = a_1+ (n - 1)d\)

So, by comparison

\(a_1 = 5\)

\(d = 2\)

The recursion of an arithmetic sequence is:

\(a_n = a_{n-1} + d\)

Substitute 2 for d

\(a_n = a_{n-1} + 2\)

Hence: (a) is correct

Answer:

\( 3(3w - 10)\)

Step-by-step explanation:

\( - 3(w + 2) - 12(2 - w) \\ - 3w - 6 - 24 + 12w \\ = 9w - 30 \\ = 3(3w - 10)\)

Hope this helps

Can I have the brainliest please?

The single inequality y > |x + 2| is equivalent to:

4. y > x + 2

y < –x – 2

It should be noted that an inequality is simply used to show the relationship between the expressions that aren't equal.

The non-negative value of a real number x, regardless of its sign, is its absolute value or modulus | x |. For instance, 5 has an absolute value of 5, and 5 has a value of 5. One way to think about a number's absolute value is as its distance from zero on the real number line.

It should be noted that based on the information, the inequality is:

y > |x + 2|. This is the positive part of the modulus.

This is the same as y < –x – 2 when the signs are changed. This is the negative part of the modulus.

In conclusion, the correct option is 4.

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Step-by-step explanation:

the graph of a polynomial function will touch the x-axis at zeros with even multiplicities.The graph will cross the x-axis at zeros with odd multiplicities.THE HIGHER THE multiplicities,THE FLATTER THE CURVE IS AT ZERO.

Using the probability concept, it is found that:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials. Researching the problem on the internet, it is found that 48 of the 200 trials resulted in the number 4 being chosen, hence:

pE = 48/200 = 0.24.

For the theoretical probability, we consider that each card is equally as likely to be picked, hence:

pT = 1/5 = 0.2.

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Answer:

Cos x = \(\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}\)

Tan x = \(\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }\)

Step-by-step explanation:

Sin x = \(\frac{perpendicular}{hypotenuse} = \frac{1}{2}\)

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

\(c^2 = a^2+b^2\)

\(a^2 = c^2-b^2\)

base ² = 4-1

base² = 3

Taking square root on both sides

Base = \(\sqrt{3}\)

Now

Cos x = \(\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}\)

Tan x = \(\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }\)

The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.

The correct option is C.

A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.

The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.

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Answer:

9:15 and 18:30

Explanation:

To determine which ratios are equivalent, we reduce each one to its lowest form and see if they are the same.

Next:

Next we have:

Finally:

Therefore, the ratios which are equivalent are Options A and D.

Answer:

The first thing to do when solving an algebraic equation is the isolate the variable.  Thus, simply subtract 1/2x from both sides of the equation and subtract 5 from both sides to get \(-2=\frac{1}{2} x\)

The type of transformation that shape A passed through to form shape B is

D. a 90° clockwise rotation

We find the transformation by investigating the image, we can see that the image made a clockwise rotation of 90 degrees

A 90° clockwise rotation refers to a transformation in which an object or coordinate system is rotated 90 degrees in the clockwise direction, which means it turns to the right by a quarter turn.

In a two-dimensional space, a 90° clockwise rotation can be visualized by imagining the object or points rotating around a central axis in the clockwise direction.

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The type of transformation which shape A undergo to form shape B include the following: D. a 90° clockwise rotation.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this polygon in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Shape A = (-1, 2)          →     shape B (2, 1)

Shape A = (-1, 4)          →     shape B (4, 1)

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The length in this instance is accurately measured at 21 cm to two significant figures.

1. Upper Bound:

The upper bound is the highest possible value that the measurement could have while still being correct to 2 significant figures.

In 21 cm, the last significant figure is 1.

The next possible value after 1 is 2.

So, half of the difference between 2 and 1 is 0.5.

Upper Bound = 21 + 0.5

                       = 21.5 cm

2. Lower Bound:

In 21 cm, the last significant figure is 1, and the next possible value after 1 is 2. So, half of the difference between 1 and 2 is 0.5.

Lower Bound = 21 - 0.5

                       = 20.5 cm

Therefore, the upper bound is 21.5 cm and the lower bound is 20.5 cm.

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