14 1/4 - 4 3/4

A 19

B 18 1/2

C10 1/2

D 9 1/2

Answer: HOPE THIS HELPS

Answer:

C

Step-by-step explanation:

Answer:

Substitute x = 4 into the equation.

f(4) = 2(4)² - 6

= 2(16) - 6

= 32 - 6

= 26

The Distance between the given parallel planes is 8.84.

According to the statement

we have given that the two parallel planes and we have to find the distance between them.

So, For this purpose, we know that the

First let us find a point on one plane. For this in plane 9z +3x - 3y = 2

assume x = 0 and y = 0 then and hence (0,0,2/9) on this plane.

Now we find the distance between point (0,0,2/9) and plane 6z -2y + 2x =0

So,

As distance from a point to plane is

\(D= \frac{|ax_1+by_1+cz_1+d|}{\sqrt{ (a^2+b^2+c^2)}}\)

And

now substitute the values in then

\(D= \frac{|2*0+ (-2)0+6*2/9+0|}{\sqrt{ 36 +4+4)}}\)

Then the value becomes

\(D= \frac{4/3}{\sqrt{ (44)}}\)

\(D= \frac{4\sqrt{44} }{3}\)

Then solve it

\(D= \frac{26.52}{3}\)

then

D = 8.84

So, The Distance between the given parallel planes is 8.84.

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1. People procrastinate when they think that they have time to do it later.

Take this example:  Tony has an essay coming up as he sits down to study he gets a text message his friend Amy. Amy just got tickets to a basket  ball game. Instead of telling her no Tony goes to the game saying he will to the work after , When Tony gets home the new season of his favorite show is on Netflix, so for the next 3 days instead of writing Tony watches his show. Pretty soon it's 10:30 on Sunday the essay is due in the morning; Tony he pulls an all nighter of pure thoughtless writing and fails the test.

2.Yes sometimes we all get the idea in our head that we can just have fun and let our responsibilities slip through our fingers. Sometimes I find my self listening to music and playing online games instead of doing my math homework.  

3.The panic monster really sets in when you realize you have 2 hours to complete an assignment, or you will fail the class.

4. yes, I think Procrastination is a chose, but a chose we all sometimes fail at making (some more than others). We all sometimes want a break, but we know it's due and are aware of what we are doing by choice.

The probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18%

To find the probability that a randomly selected person will have an IQ score of less than 80, we need to consider the properties of the normal distribution, as IQ scores typically follow a normal distribution with a mean (μ) of 100 and a standard deviation (σ) of 15.

1. Calculate the z-score: The z-score represents the number of standard deviations a data point is from the mean. Use the formula:

z = (X - μ) / σ

where X is the IQ score, μ is the mean, and σ is the standard deviation.

z = (80 - 100) / 15
z = -20 / 15
z = -1.3333

2. Look up the z-score in a standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability is 0.0918.

Therefore, the probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18% when rounded to four decimal places.

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Select "All". All real numbers have a decimal expansion. All Option are Correct since all are terminating.

A real number is a number that can be represented on the number line as a decimal. This means that it can be expressed as a sequence of digits to an infinite number of decimal places. For example, the number 3.14 is a real number, as it can be represented as 3.14159.

In general, decimal expansions are used to represent numbers that are smaller than 1, and they are useful for many mathematical and scientific applications. However, it is possible for some numbers to have decimal expansions that go on forever, or to have no decimal expansion at all, depending on the specific number and the mathematical properties it possesses.  

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Answer:3

Step-by-step explanation:

The HCF of 3 and 9 is 3. To calculate the HCF (Highest Common Factor) of 3 and 9, we need to factor each number (factors of 3 = 1, 3; factors of 9 = 1, 3, 9) and choose the highest factor that exactly divides both 3 and 9 . i.e 3.

The values of y when x is 3, 4, and 5 are 21, 25, and 29, respectively.

To find the values of y when x is 3, 4, and 5 using the equation y = 4x + 9, we substitute the respective values of x into the equation and solve for y.

For x = 3:

y = 4(3) + 9

y = 12 + 9

y = 21

For x = 4:

y = 4(4) + 9

y = 16 + 9

y = 25

For x = 5:

y = 4(5) + 9

y = 20 + 9

y = 29

So, the values of y when x is 3, 4, and 5 are 21, 25, and 29, respectively.

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Answer:

(a + b)^2 — c^2

(a+b+c) ( a + b — c )

Step-by-step explanation:

Answer: No solution

Desmos Graphing Calculator is a great way to check these things. I'm not a 100% sure on my calculations, but I know Desmos is.

Answer:

a = 1

Step-by-step explanation:

6a + 5a + 1 = 12

Subtract one to both side leaving a by itself.

6a + 5a = 12 - 1

Now simply by add or subtracting, multiply or dividing.

11a = 11

Divide 11 to both side leaving a = ?

a = 1

Answer:

a= 1

Step-by-step explanation:

6a + 5a + 1 = 12

(-1) + 6a + 5a +1 = 12 -1

6a + 5a = 11

11a = 11

11a/11 = 11/11

a= 1

Tessa has been training for a marathon by running 13 km per day for 333 consecutive days.

Tessa regularly ran 13 km every day for an incredible 333 days, demonstrating her commitment to her marathon training. Her dedication displays her perseverance and discipline, two qualities essential for training for a marathon.

Tessa is likely to get a variety of physical and mental advantages by keeping up such a demanding training plan. Her physical stamina, cardiovascular fitness, and endurance will all greatly increase, preparing her for the demands of a complete marathon. Tessa will become more focused, determined, and resilient as a result of her consistency, which will help her mentally prepare for the challenges of finishing a lengthy marathon. Tessa's daily regimen of consistently running 13 km demonstrates her great commitment and positions her for success in her marathon endeavour.

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Complete Question: Tessa is getting ready to run a marathon. For 333 days, she runs 13 text kilometres (start text, space, k, m, finish text).

How far did Tessa run overall, in metres?

Answer:

No, Because BC is not parallel to AD

Answer:

I think the system has infinite solutions.

Step-by-step explanation:

Answer:

x = 16√3

y = 8√3

Step-by-step explanation:

First, to figure out x, put the side we already know (24) over the cosine of the angle we know (30).

x = 24/cos(30)

(cos(30) is the same as √3/2)

x = 24/√3/2

Step 1: Multiply by 2/√3

x = (24 * 2)/√3

Step 2: Rationalize the denominator by multiplying by √3

x = √3(24 * 2)/√3 * √3

Step 3: √3 squared is 3.

√3(24 * 2)/3

Step 4: Multiply 24 by 2 to get 48.

x = √3(48)/3

Divide √3(48) by 3 to get 16√3

x = 16√3

Before we figure out y, we need to find you what 16√3 squared is.

((16(√3))²

Step 1: Expand the above equation.

16²(√3)²

Step 2: Square 16 to get 256.

256(√3)²

Step 3: √3 squared is 3.

256(3)

Step 4: Multiply 256 by 3 to get 768.

768

Now, subtract 576 (24 squared) from 768 to get 192. Find the square root of that, which is 8√3. (192 = 8² * 3; rewrite as √8²√3, then take the square root of 8²

Answer:

Step-by-step explanation:

Basic Charge = $ 65

Rate per hour = $ 28

Number of hours = H

Rate for H hours = 28 *H = 28H

Equation:

65 + 28H ≤ 250

Anan consideration requires:

Requirements of the plumber

Thus, to determine the number of how many hours Anan can afford for his total amount of $250, we have the following:

The initial fee + hourly rate ≤ 250  

∴

   $65 + $28 H ≤ 250

Therefore, we can conclude that the perfect inequality that describes Anan Scenario is:    $65 + $28 H ≤ 250

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99.85% of adults in the city have a systolic blood pressure of less than 110 mmHg.

Using 68-95-99.7 rule, we know that

99.7% of values lie between the interval (mean - 3 × standard deviation, mean + 3 × standard deviation)

(100 - 99.7) = 0.3% values lie outside the interval (mean - 3 × standard deviation, mean + 3 × standard deviation).

Since the normal distribution is bell-curved and symmetrical,

we can say

0.3/2 = 0.15% values are less than the mean - 3 × standard deviation

and 0.3/2 = 0.15% values are greater than mean + 3 × standard deviation.

Here,

Mean + 3 × standard deviation.

= 110 + 3 × 10 = 140

So, 0.15% of values  are greater than 140

So, (100 - 0.15) = 99.85% values are less than 140.

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Option B is correct, the inequality which represents the  length of segment AB is greater than  length of segment AD is 9x-16>1.5x+42

The given rectangle is ABCD.

The length of segment AB is 9x-16 units

The length of segment AD is 1.5x+42 units

We have to find the inequality which represents the  length of segment AB is greater than  length of segment AD

> is the symbol used to represent greater than

AB>AD

9x-16>1.5x+42

Hence, option B is correct, the inequality which represents the  length of segment AB is greater than  length of segment AD is 9x-16>1.5x+42

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Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

\(r=\frac{\frac{4}{25} }{\frac{2}{5} } \\r=\frac{4}{25} \times \frac{5}{2} =\frac{2}{5} <1\\s_{\infty}=\frac{a}{1-r} =\frac{\frac{2}{5} }{1-\frac{2}{5} } =\frac{2}{5} \times \frac{5}{3} =\frac{2}{3}\)

The fifth term of the expansion of (x − 5)⁶ is found as:  937x².

The Pascal triangle has a lengthy history. It may be traced back to India's Pingala people in the second century BC, who also knew various other binomial formulas at the same time.

Using the binomial series:

(n C r) = n! / (r1(n - r)!

Given equation: (x − 5)⁶

On comparing:

a = x, b = -5 and n = 6

x⁶ + (6C1).x⁶.(-5)¹ + (6C2).x⁴.(-5)² + (6C3)x⁴(-5)³ + (6C4).x²(-5)⁴ + (6C5).x¹.(-5)⁵ + (-5)

Using binomial calculator to solve the expression as;

x⁶ - 30x⁵ + 375x⁴ - 2500x³ + 937x² - 1870x + 15625

Thus, the fifth term of the expansion of (x − 5)⁶ is found as:  937x².

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The formula for the area of a regular pentagon is:

A = (1/2)Pa

where A is the area of the pentagon, P is the perimeter of the pentagon, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).

If the apothem of the pentagon is 3√2, then we need to know the perimeter of the pentagon in order to calculate its area.

Unfortunately, the apothem alone is not enough information to determine the perimeter of a pentagon. However, if we assume that the pentagon is regular, then we know that all of its sides and angles are equal, and we can use the following formula to find its perimeter:

P = 5s

where P is the perimeter and s is the length of a side.

To find the length of a side, we can use the fact that the apothem is perpendicular to a side and bisects it. This means that the triangle formed by the apothem, half a side, and the center of the pentagon is a right triangle. The hypotenuse of this triangle is the length of a side, and the legs are half a side and the apothem:

s/2 = 3√2

s = 6√2

Now we can use the equation for the perimeter of a pentagon:

P = 5s = 5(6√2) = 30√2

Finally, we can use the formula for the area of a regular pentagon:

A = (1/2)Pa = (1/2)(30√2)(3√2) = 45

Therefore, the area of the pentagon is 45 square units, assuming that it is a regular pentagon with an apothem of 3√2.

36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

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Answer:

10.8

Step-by-step explanation:

8÷4.80=0.60

0.60×18=10.8

Answer:

T would represent touchdowns, E or P would represent extra points, and F or FG would represent fiels goals.

Step-by-step explanation:

Hope this helps :)

T would represent touchdowns, E or P would represent extra points, and F or FG would represent field goals.

The null hypothesis in the sampling is u = 128 and the alternative is that it isn't equal to 128.

Given a mean of 128. The claim here is that the mean is 128.

Therefore, the null hypothesis and alternative hypothesis, would be:

H0 : u = 128

Ha: u ≠ 128

How is the null hypothesis depicted?

It should be noted that based on the information, when the null hypothesis is rejected, it implies that the weight is 128.

Also, there's no enough evidence to conclude that there's either overfilling or underfilling. When the null hypothesis is rejected, it means that the mean weight is not equal to 128.

Hence the answer is The null hypothesis in the sampling is u = 128 and the alternative is that it isn't equal to 128.

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Answer:

Yes, he got the correct quotient

Step-by-step explanation:

1.5 divided by 1/3 is 4.5, and 4.5 is equal to 4 1/2

Answer:

Sage did it right.

your work:

1 1/2 ÷ 1/3

3/2 ÷ 1/3

3/2 × 3/1

9/2

4 1/2

Step-by-step explanation:

first convert 1 1/2 into an improper fraction:

multiply the 2 and 1, you get 2, than add that to the current numerator to get a new one. You get 3/2 as your improper fraction

you now have: 3/2 ÷ 1/3

then turn the division sign into a multiplication sign by flipping the divisor:

you get 3/2 × 3/1

solve this:

multiply the numerators together, you get 9 as a new numerator

multiply your denominators, you get 2 as your new denominator

so now you have 9/2

next turn this into a mixed fraction, you get 4 1/2

so Sage did it right.

Answer:

R(t)=10+0.50t

Step-by-step explanation:

His rate is based on time, for the first side of the equation.

His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.