factor of 9x2 18x + 8?
Factor of 9x^2-18x+8

Answer:

I think it might be A. usually lines of reflection happen at midpoints.

If the data for every person who took the tests were tabulated, the correlation between the Math and Verbal SATs would be less than 0.97.

Are the SAT verbal and SAT reading the same test?

The word used to designate the SAT Reading and Writing part is an older, outmoded one. The SAT Verbal section's material is still highly significant today, though. Many of the subjects and abilities from the old SAT Verbal portion are now included in the Evidence-Based Reading and Writing section.

Here we know that the correlation between these 51 pairs of averages was 0. 97.

And as we all know that the Educational Testing Service computed the average Verbal SAT score for each state, as well as the average Math SAT score for each state.

As we know that  the individual people tend to have more variation when you compare them to the average person

then if we look at the individual math and rebels course then there's probably a way more variation.

Here we know that the straight line wouldn't be there.

Then the whole thing would not be the same.

And which tells that It would be less of a correlation coefficient.

So it is less that 0.97.

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The area of the region is: 63.585 square inches.

If we have a circle of radius R, the area of said circle is:

A = pi*R^2

Particularly, if we have a section of the circle defined by an angle θ, the area of that region is:

A = (θ/2pi)*pi*R^2 = (θ/2)*R^2

In this case we have:

θ = 90° = pi/2

R = 9in

Replacing that we get:

A = (pi/4)*(9in)^2 = (3.14/4)*(9in)^2 = 63.585 in^2

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Answer:

x=15

Step-by-step explanation:

5x+17+36=128

5x+53=128

5x=75

x=15

Answer:

what bedroom...............?

Answer:

\(95ft^2\)

Step-by-step explanation:

We need to multiply 10 feet by 9 feet 6 inches.

6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.

Multiply 10 by 9.5.

(10)(9.5) = 95

Therefore the answer is 95ft squared.

Hope this helps!!

- Kay :)

Answer:

Angle CDB would be the answer

Jim should choose Option A preferable for sales above $7,142.86.

To determine which option is more advantageous for Jim, we can compare the earnings under each option based on Jim's total sales (x dollars).

Option A: Weekly pay of $300 plus 3.5% of total sales.

Earnings under Option A = $300 + 0.035x

Option B: Flat rate of $550 for the week.

Earnings under Option B = $550

To determine which option is more beneficial, we need to compare the earnings. If the earnings under Option A are higher than the earnings under Option B for a given value of x, then Option A is preferable. Otherwise, if the earnings under Option B are higher, then Option B is preferable.

Let's compare the two options for different values of x:

For Option A to be more advantageous:

$300 + 0.035x > $550

Simplifying the inequality:

0.035x > $550 - $300

0.035x > $250

Dividing both sides of the inequality by 0.035:

x > $250 / 0.035

x > $7,142.86

So, if Jim's total sales for the week (x) exceed $7,142.86, Option A would be more advantageous.

For values of x less than or equal to $7,142.86, Option B would be more advantageous.

It's important to note that this analysis assumes that Jim's earnings are solely based on either Option A or Option B, and there are no other factors or commissions involved in his compensation.

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The expected number of problems to be resolved today is 10, the standard deviation is 1.3693, the probability that 10 problems can be resolved today is 0.2146, the probability that 10 or 11 problems can be resolved today is 0.3246, and the probability that more than 8 problems can be resolved today is 0.816.

To answer these questions, we will use the binomial distribution since we are dealing with a fixed number of independent trials (the 13 cases reported) with only two possible outcomes (resolved or not resolved).

Let's start with the first question:

Expected number of problems resolved today:

E(X) = n * p = 13 * 0.75 = 9.75

So we would expect about 9.75 problems to be resolved today, but since we cannot have a fraction of a problem, we should round this to 10.

Now let's move on to the second question:

Standard deviation:

σ = sqrt(np(1-p)) = sqrt(13 * 0.75 * 0.25) = 1.3693 (rounded to 4 decimal places).

For the third question:

Probability that 10 of the problems can be resolved today:

P(X=10) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) = 0.2146 (rounded to 4 decimal places).

For the fourth question:

Probability that 10 or 11 of the problems can be resolved today:

\(P(X=10 or X=11) = P(X=10) + P(X=11) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) + (13 choose 11) * (0.75)^11 * (1-0.75)^(13-11) = 0.3246 (rounded to 4 decimal places).\)

For the fifth question:

Probability that more than 8 of the problems can be resolved today:

P(X>8) = 1 - P(X<=8) = 1 - (P(X=0) + P(X=1) + ... + P(X=8))

\(= 1 - ∑(13 choose i) * (0.75)^i * (1-0.75)^(13-i), for i=0 to 8.\)

= 1 - 0.0003 - 0.0033 - 0.0191 - 0.0672 - 0.1562 - 0.2529 - 0.2897 - 0.2072 - 0.0881

= 0.816 (rounded to 4 decimal places).

Therefore, the probability more than 8 of the problems can be resolved today is 0.816 (rounded to 4 decimal places).

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Answer: 10 1/2 miles

1 hour= 5 miles

2 1/2 hrs = 10 1/2 miles

The number of baseball teams of nine members that can be chosen from among twelve boys, without regard to the position played by each member is 220.

To solve this problem, we need to use the combination formula. The formula is:
nCr = n / r(n-r)
where n is the total number of items, r is the number of items we want to choose,
In this case, we have 12 boys and we want to choose a team of 9. So we have:
n = 12
r = 9
Plugging these values into the formula, we get:

12C9 = 12 / 9(12-9)
         = (12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4) / (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
         = 220
Therefore, there are 220 ways to choose a baseball team of nine members from among twelve boys, without regard to the position played by each member.

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Given :

The sequence is a geometric progression. Recall that a G.P has a common ratio such that:

Let's go ahead to find the common ratio (r)

To find the sum to infinity of geometric progression whose common ratio(r) is less than 1, we use the formula:

The first term (a) of the sequence = -5

Hence, the sum to infinity is:

Answer = -25/3

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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Answer:

1.2%

Step-by-step explanation:

0.012 = 12/1000

to express it as %

12/1000 * 100

= 1.2%

Answer:

$0.318 per minute

Step-by-step explanation:

3.18/10 = 0.318

3.18 divided by 10 equals 0.318

Answer:

3.18 cents per minute

Step-by-step explanation:

318 cents / 10 minutes = 3.18 cents per minute

Answer:

63

Step-by-step explanation:

Using the formula attached, we can setup the equation:

\(211 + (38 - 1) - 4\)

Then using a calculator you can solve

The required 38th term of the given arithmetic sequence is 63.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
Given sequence,
211,207,203,...
First term, a = 211
Common difference, d = 207 - 211 = -4

Now.
Nth term of an arithmetic progression,
Nth term = a + (n -1)d
Nth term of given sequence
Nth term = 211 - (n - 1)4

Now, put n = 38
38th term = 211 - (38 - 1)4
38th term = 211 - [37](4)
38th term = 211 - 148 = 63

Thus, the required 38th term of the given arithmetic sequence is 63.

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Answer:

Yes, it is generally considered rude to knock loudly on the bathroom door and then slam their room door aggressively, especially if you know someone is inside. This behavior can be seen as invasive and disrespectful of their privacy, and it can also be alarming and unsettling for the person inside. It's important to respect people's personal space and boundaries, especially when it comes to private activities like using the bathroom. A more polite approach would be to knock gently and wait for a response, or to simply wait until the person is finished and has come out of the bathroom before attempting to get their attention.

If someone is using the bathroom for an extended period of time and you need to use it urgently for work or other important purposes, it's reasonable to knock on the door and ask if they will be much longer or if you can use it quickly. However, it's important to do so politely and respectfully, and to avoid knocking loudly or slamming doors aggressively. If the person inside is unable to leave the bathroom immediately, you may need to find an alternative solution, such as using a different bathroom or waiting until the person is finished. Ultimately, it's important to be considerate of others' needs and privacy, while also being assertive and advocating for your own needs when necessary.

Answer:

use DESMOS it helps you alot

Step-by-step explanation:

Answer:

y=2x+5

Step-by-step explanation:

u find the slope and since the y intercept is (0,5), that's the b value

hope this helps

Answer: 2x+5

Step-by-step explanation: calculate the slope of the points with the formula m= (y2-y1)/(x2-x1) then use the y-int to complete the equation

Therefore, (v - w) is orthogonal to u, which implies that the statement "if proju(v) = proju(w) then (v − w) ⊥ u" is true.

The statement "if proju(v) = proju(w) then (v − w) ⊥ u" is true if and only if u is orthogonal to the projection of (v-w) onto the subspace spanned by u.

Since proju(v) and proju(w) are the projections of v and w onto the subspace spanned by u, we can rewrite the statement as "if the projections of v and w onto the subspace spanned by u are equal, then (v - w) is orthogonal to u".

Let proj_u(v - w) be the projection of (v - w) onto the subspace spanned by u. We know that (v - w) can be decomposed as (v - w) = proj_u(v - w) + (v - w - proju(v - w)).

Note that (v - w - proju(v - w)) is orthogonal to the subspace spanned by u, since proju(v - w) is the closest vector in the subspace to (v - w). Therefore, (v - w) is orthogonal to u if and only if proju(v - w) = 0, which is equivalent to saying that the projection of (v - w) onto the subspace spanned by u is the zero vector.

Assuming that proju(v) = proju(w), we have:

proju(v - w) = proju(v) - proju(w) = proju(v) - proju(w) = 0

Therefore, (v - w) is orthogonal to u, which implies that the statement "if proju(v) = proju(w) then (v − w) ⊥ u" is true.

In conclusion, we have proven that if the projections of v and w onto the subspace spanned by u are equal, then (v - w) is orthogonal to u.

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The subshell designated by each set of quantum numbers is as follows:

a) n=3, l=1 -> 3p subshell

b) n=4, l=2 -> 4d subshell

c) n=2, l=0 -> 2s subshell

d) n=5, l=3 -> 5f subshell

In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.

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The list of all the positive common divisors of 48 and 60 is:1, 2, 3, 4, 6, 12.

To find all the common divisors of 48 and 60, we need to first list the divisors of both numbers. So let's list out the divisors of both 48 and 60.

Divisors of 48:1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 60:1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Now, we can identify the common divisors by comparing the two lists. The common divisors of 48 and 60 are:1, 2, 3, 4, 6, 12

In division, we divide a number by any other number to get another number as a result. So, the number which is getting divided here is called the dividend. The number which divides a given number is the divisor.

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The summation expression \(\sum\limits^{\infty}_{n=1} {\frac34(\frac43)^{n-1}\) when evaluated is -2 1/4

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

\(\sum\limits^{\infty}_{n=1} {\frac34(\frac43)^{n-1}\)

From the above summation expression, we have the following

The sum to infinity of the sequence is then represented as

Sum = a/(1 - r)

So, we have

\(\sum\limits^{\infty}_{n=1} {\frac34(\frac43)^{n-1} = \frac{3/4}{1 - 4/3}\)

Evaluate the difference

\(\sum\limits^{\infty}_{n=1} {\frac34(\frac43)^{n-1} = \frac{3/4}{-1/3}\)

Evaluate the quotient

\(\sum\limits^{\infty}_{n=1} {\frac34(\frac43)^{n-1} = -2 \frac14\)

Hence, the solution is \(\sum\limits^{\infty}_{n=1} {\frac34(\frac43)^{n-1} = -2 \frac14\)

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Best describe a parallelogram with diagonals that are perpendicular is rectangle.

A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.

In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.

The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a

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When there are precisely two outcomes of a trial that are mutually exclusive, the binomial distribution is used.

A discrete distribution is the binomial distribution. It is a probability distribution that is frequently utilised. It is then designed to represent a variety of distinct phenomena that appear in business, social sciences, natural sciences, and medical research.

The probability of achieving a specific number of successes, such as successful basketball shots, out of a fixed number of trials can be determined using the binomial distribution. To determine discrete probabilities, we use the binomial distribution.

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Answer:

72.5 ft²

Step-by-step explanation:

There are 3 areas:

First: The top triangle

Area1 =

\( \frac{1}{2} \times 2 \times5 = 5\)

Second Area: The middle rectangle

Area2=

\(5 \times (6 + 5) =5 \times 11 = 55\)

Third Area: bottom triangle

Area3:

\( \frac{1}{2} \times 5 \times 5 = 12.5\)

Area1 + Area2 + Area3 =

\(5 + 55 + 12.5 = 72.5 \: {ft}^{2} \)

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer:

3*2 = 6+9 = 15

Step-by-step explanation:

The required number is 2.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, nine more than three times a number is fifteen

Let the number be a

Converting the statement into mathematical expression,

9+3a = 15

3a = 6

a = 2

Hence, The required number is 2.

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The binomial (x+5) is not a factor of f(x) = x³ + 4x² + 7x + 6 because the quotient has a remainder of 0

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

Prove that (x+5) is not a factor of f(x) = x³ + 4x² + 7x + 6

This means that

Divisor = x + 5

Dividend = f(x) = x³ + 4x² + 7x + 6

Using the synthetic division, we have the following setup

-3 |    1     4    7     6

Bring down the first factor

-3 |    1     4    7     6

         1

Multiply by -3

-3 |    1     4    7     6

              -3

         1    

Repeat the above steps as follows

So, we have

-3 |    1     4    7     6

              -3   -3   -12

         1     1    4     -6

The last number represents the remainder of the division

This means that

Remainder = -6

A remainder not equal to 0 means that the divisor is not a factor

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Answer:

50%

Step-by-step explanation:

50% = 0.5

$90000 times 0.5 = $45000

So, 50% of $90000 is equal to $45000

Answer: 50%

Hope this helps :)

Step-by-step explanation:

45,000 / 90,000 = .5 (50 out of 100)

45 * 2 = 90