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the option b is equal to the rational expression when x≠-6?

Answer:

\(\dashrightarrow \: \frac{ {x}^{2} - 36}{x + 6} \\ \\ \dashrightarrow \: \frac{( \cancel{x + 6})(x - 6)}{\cancel{x + 6}} \\ \\ \dashrightarrow\boxed{ \: x - 6 \: }\)

therefore , option ( B ) is correct.

• Step 2 was done by keeping in mind the algebraic identity "a² - b² = ( a + b )( a - b)"

hope helpful! :)

Answer:

100%

Step-by-step explanation:

90+10=100

Answer:

Step-by-step explanation:

Oh god that’s 100% of the cheddar bag used! PAPYRUS NO THATS TOO MUCH YOULL RUIN UR SPAGHETTI AND SANS UR NOT HELPING. Oh god what if Sans sabotaged his spaghetti... It’s either that, or a more logical explanation: Sans used 90% of the cheddar to flavor his ketchup, while Papyrus was left with the last bit for his spaghetti...?

Papyrus: I am now going to make one of my famous spaghetti dishes with not 10%, but 20% cheddar! Sans! Give me the cheese bag!

Sans: Sure, bud. *hands over 10% of cheddar left in bag*

Papyrus: This... this is only 10% though... now I can’t make my soon to be famous 20% cheese spaghetti... OH MY GOD THIS IS A DISASTER

One like = giving Papyrus that last 10% he needs for his famous spaghetti

Answer:

x=  $6,284.15

Step-by-step explanation:

7300 = x(1 + .025/12)^72

x = \(\frac{7300}{(1 + \frac{.025}{12} )^{72} }\)

x=  $6,284.15  

The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Step-by-step explanation:

After putting the values:-

The circumference of the wheel of the bike given the diameter is 84.78 inches

As evident from the task content; it is required that the circumference of the bike's wheel be determined.

Given that the Diameter of the wheel = 27 inches

Recall; Radius = diameter / 2

= 27/2

= 13.5 inches

π = 3.14

Since the formula for the Circumference of the wheel which is circular = 2πr

= 2 × 3.14 × 13.5

= 84.78 inches

In conclusion, the circumference of the wheel according to the given description is 84.78 inches.

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A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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Answer:

1) 125, Vertical

2) 114, Alternate Exterior

3) 12x, Alternate Exterior

4) 66, Alternate Exterior

5) 65, Corresponding

6) 79, Alternate Interior

Step-by-step explanation:

I looked at google

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

B. We fail to reject the null hypothesis. In hypothesis testing, the significance level, denoted by a, is the probability of rejecting the null hypothesis when it is true.

If the p-value is less than the significance level, we reject the null hypothesis. In this case, the p-value is 0.05, which is greater than the significance level of 0.04. Option C is not necessarily true as the term "unusual" is subjective and can vary depending on the context. Option D is not necessarily true as the critical region may be in the other tail of the normal curve.

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Answer:

0.24 pages per hour

Step-by-step explanation:

To solve this you have to divide total pages by the hours to get the speed per hour. Here is the equation;

28 / 116 = 0.2413793103448276

Hope this helps!

Answer:

A) x < -2 or 2 3

Step-by-step explanation:

I'm correct if I'm rwong

The simplified expression is -16∛3.

We have,

-2∛24 - 4∛81

Now,

\(3^4\) = 81

So,

∛81 = ∛(3³ x 3) = 3∛3

And,

2³ = 8

∛24 = ∛(8 x 3) = ∛8 x ∛3 = 2∛3

Now,

-2∛24 - 4∛81

-2 x 2∛3 - 4 x 3∛3

= -4∛3 - 12∛3

= -16∛3

Thus,

The simplified expression is -16∛3.

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The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

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____________________

The graph,

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

I can't see because theirs no question

Answer:

the mean is6.7 the mode is 7 and the range is 9

Step-by-step explanation:

Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Based on the given context, 3s represent (d) three times Sydney’s age

From the question, we have the following parameters that can be used in our computation:

Sydney's age = s

Luke is 5 years younger than 3 times Sydney’s age

The interpretation of the second statement above is

Luke's age = Sydney's age - 5

Mathematically, this can be expressed as

l = s - 5

Where

Luke's age = l and

Sydney's age = s

Also from the question we have:

3s = 3 times Sydney's age

Hence, 3s represent (d) three times Sydney’s age

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c=1,200+215g

Step-by-step explanation:

so 1,200 each week so 1,200 per seven days. g is how many times they fill up the gas tank and the cost is 250 each time. So you have to multiply 215 by g and then add 1,200.

Answer:8.99 cm

Step-by-step explanation:

Answer:

\(8.995\)cm

Step-by-step explanation:

The circumference formula is: \(C=2\pi r\)

We are given the circumference, which is 56.52cm.

The question wants us to find the radius, r.

To achieve this, we must solve for r.

Plugging in 56.52 for C we get:

\(56.52=2\pi r\)

Dividing both sides by \(2\pi\), we find r:\(8.995\)

\(\frac{56.52}{2\pi } =r\)

\(8.995\)≈\(r\)

If you want to round it up, you can round it to 9cm.

Answer:

4.275 x 10^9

Step-by-step explanation:

jus do it

Answer:

4.275x10bto the 9th power

Step-by-step explanation:

Answer:

-6 x 10^-1 divided by -3 x 10^-2 = 0.002

Answer:

P = Pay.

A = As.

Y = You.

E = Earned.

Step-by-step explanation:

PAYE Stands for pay as you earned.

In ΔPQN and ΔSQN,

PN = SN (Given)

PQ = SQ (Given)

QN = QN (Common)

∴ ΔPQN ≅ ΔSQN (By SSS Criteria)

Option D is the correct answer.

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Answer:

10 in. boom

Step-by-step explanation: