What type of number is -16.2i

Answer:

26 for the first and 18 for the second.

Step-by-step explanation: 44-8=36. 36÷ 2=18. 18+8=26. So, you get 26 and 18 hours.

The options that allow for the construction of a triangle are:

Option B: A triangle with side lengths 4 cm, 5 cm, and 8 cm.

To determine if it is possible to construct a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's evaluate each option:

A. A triangle with angle measures 30, 40, and 100 degrees.

This option does not provide any side lengths, so we cannot determine if it satisfies the triangle inequality theorem. Insufficient information.

B. A triangle with side lengths 4 cm, 5 cm, and 8 cm.

We can apply the triangle inequality theorem to this option:

4 cm + 5 cm > 8 cm (True)

5 cm + 8 cm > 4 cm (True)

4 cm + 8 cm > 5 cm (True)

This set of side lengths satisfies the triangle inequality theorem, so it is possible to construct a triangle.

C. A triangle with side lengths 4 cm and 5 cm, and a 50-degree angle.

We don't have the length of the third side, so we cannot determine if it satisfies the triangle inequality theorem. Insufficient information.

D. A triangle with side lengths 4 cm, 5 cm, and 12 cm.

Applying the triangle inequality theorem:

4 cm + 5 cm > 12 cm (False)

5 cm + 12 cm > 4 cm (True)

4 cm + 12 cm > 5 cm (True)

Since the sum of the lengths of the two smaller sides (4 cm and 5 cm) is not greater than the length of the longest side (12 cm), it is not possible to construct a triangle with these side lengths.

E. A triangle with angle measures 40, 60, and 80 degrees.

This option does not provide any side lengths, so we cannot determine if it satisfies the triangle inequality theorem. Insufficient information.

Based on the analysis, the options that allow for the construction of a triangle are:

Option B: A triangle with side lengths 4 cm, 5 cm, and 8 cm.

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Answer: Switch x and y

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.

Hence, the correct option is C.

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Answer:

D. $9.50

Step-by-step explanation:

If you take the $155 and subtract the $15 per lawn mowed you get $95. If then you add up the total hours he spent mowing (10) and divide the $155 by the 10 you end up with $9.50 for each hour he spent mowing.

Rounding to two decimal places, we can say that Hannah's equivalent number of hours in Canada is approximately 341.80

To answer this question, we need to convert Hannah's hours worked in the US to the equivalent number of hours in Canada, based on the reported average and standard deviation.

First, we need to calculate the z-score for Hannah's hours worked:

z = (x - μ) / σ

where x is Hannah's hours worked (11), μ is the reported average for self-employed individuals in Canada (41), and σ is the reported standard deviation (10).

z = (11 - 41) / 10 = -3

Next, we can use a z-score table or calculator to find the corresponding percentile rank for this z-score. A z-score of -3 corresponds to a percentile rank of approximately 0.13, or the 13th percentile. This means that Hannah's hours worked in the US are lower than approximately 87% of self-employed individuals in Canada.

To find the equivalent number of hours in Canada, we can use the percentile rank and the inverse cumulative distribution function (CDF) for a normal distribution with the reported mean and standard deviation:

z = invNorm(p, μ, σ)

where p is the percentile rank (0.13), μ is the reported average (41), and σ is the reported standard deviation (10).

z = invNorm(0.13, 41, 10) = 30.28

This means that the z-score corresponding to the 13th percentile is 30.28. We can now use this z-score to find the equivalent number of hours in Canada:

x = μ + z * σ

x = 41 + 30.28 * 10 = 341.8

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.

Answer:

the answer is 12x2 mskksksns

Answer:

The answer is 6 marbels.

Hope this helps!

1) Therefore, the approximate mean of the circle is 125 feet. 2) Therefore, the approximate variance of the circle is 0.1 ft².

To approximate the mean and variance of the circle to first order, we need to use the concept of linear approximation.

The linear approximation formula is as follows:
f(x) ≈ f(a) + f'(a)(x - a)

In this case, the mean and variance of the circle can be approximated using the linear approximation formula.

1. Approximating the mean:
The mean of the circle is given as the random variable with a mean of 125 feet.

Since the linear approximation formula uses a first-order approximation, we can approximate the mean of the circle as the mean of the random variable itself, which is 125 feet.

Therefore, the approximate mean of the circle is 125 feet.

2. Approximating the variance:
The variance of the circle is given as the random variable with a variance of 0.1 ft² (standard deviation = 0.32 ft).

To approximate the variance to first order, we need to use the formula:

Var(X) ≈ Var(a) + 2a * Cov(X, Y) + a² * Var(Y)

Since the radius of the circle is a random variable with a variance of 0.1 ft², we can approximate the variance of the circle to first order as the variance of the random variable itself, which is 0.1 ft².

Therefore, the approximate variance of the circle is 0.1 ft².

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Answer:

54 degrees

Step-by-step explanation:

Answer:

√3/3

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Hope this helps!! Please consider marking brainliest! Have a good one!!

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.

If the radical in the denominator is a square root, then you multiply by a square root that will give you a perfect square under the radical when multiplied by the denominator.   If the radical in the denominator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the denominator and so forth...

Note that the phrase "perfect square" means that you can take the square root of it.  Just as "perfect cube" means we can take the cube root of the number, and so forth.  

Keep in mind that as long as you multiply the numerator and denominator by the exact same thing, the fractions will be equivalent.

Step 2: Make sure all radicals are simplified.

Some radicals will already be in a simplified form, but make sure you simplify the ones that are not.  If you need a review on this, go to Tutorial 39: Simplifying Radical Expressions.

Step 3: Simplify the fraction if needed.

Be careful.  You cannot cancel out a factor that is on the outside of a radical with one that is on the inside of the radical.  In order to cancel out common factors, they have to be both inside the same radical or be both outside the radical.

\(\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}\)

\(\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}\)

\( \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} \)

HOPE IT HELPS YOU..

Answer:

28

Step-by-step explanation:

x = 2 point questions, y = 3 point questions

x + y = 40

2x + 3y = 92

Solving this we get x = 28, y = 12 so the answer is 28.

Answer: 28

Step-by-step explanation:

Let x be the number of 2 mark questions

Let y be the number of 3 mark questions

x+y=40. ---------------(1)

2x+3y=92 ---------------(2)

Solve equation (1) for y

y=40−x

Substitute

y=40−x in equation (2)

2x+3(40−x)=92

2x+120−3x=92

2x−3x=92−120

−x=−28

x=28

Substitute

x=28 in equation (1)

28+y=40

y=40−28=12

Number of 2 mark questions

=28

Number of 3 mark questions

=12

The future value of the deposits at the end of 5 years is approximately $6,138.74.

To calculate the future value of the deposits, we can use the formula for compound interest:

FV = P(1 + r/n)^(nt)

Where: FV is the future value

P is the principal amount (initial deposit)

r is the annual interest rate (3% in this case)

n is the number of times interest is compounded per year (quarterly in this case)

t is the number of years

In this case, the principal amount is $1,000, the annual interest rate is 3% (or 0.03), the number of times interest is compounded per year is 4 (quarterly), and the number of years is 5.

Plugging in these values into the formula, we get: FV = $1,000(1 + 0.03/4)^(4*5)

Calculating this, the future value of the deposits at the end of 5 years is approximately $6,138.74.

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Answer:

here is the ananswer

Step-by-step explanation:

red go to red and black to black

Answer:

y=2.5x+9

Step-by-step explanation:

pick any two points and plug 2.5 for x and add 9 to the sum

Answer:

The answer is : 9345.

Step-by-step explanation:

N/A

The fraction that is equals to 0.8 is given as follows:

8/10.

A fraction is represented by the division of a term x by a term y, such as in the equation presented as follows:

Fraction = x/y.

The terms that represent x and y are listed as follows:

The decimal representation of each fraction is given by the division of the numerator by the denominator, hence:

8/10 = 0.8.

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Answer:

$37.75

Step-by-step explanation:

$15.10 * 2 = 30.20

30.20  + 7.55(half of 15.10) = 37.75

Answer: $5 for each vinyl,$4 for each CD,and $1 for each electronic download

Step-by-step explanation:

Answer:

$5 vinyl

$4 CD

$1 every electronic download

Step-by-step explanation:

good luck

Answer:

2

Step-by-step explanation:

Answer:

x= -8 , y= -40

Step-by-step explanation:

x-intercept:                y-intercept:

-5x-40=y                    -5x-40=y

-5x-40=0                   -5×0-40=y

-5x=40                       y= -40

x=8                            

Answer:

Mean (Average):

353.5

Median (Middle):

(210+426)/2 = 318

Mode (Most Common):

No Mode of this set

Range (Biggest - Smallest):

673

Step-by-step explanation:

To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.

For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.

If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.

For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.

Therefore, in all cases, g is proved to be cyclic. QED.

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The particular solution of the equation y''+9y=12cosx is yp=4/3cosx.

To find the particular solution of the equation y''+9y=12cosx, we can use the method of undetermined coefficients. This method involves guessing a particular solution in the form of yp=Acosx+Bsinx and then finding the values of A and B that satisfy the equation.

First, let's plug in the guess yp=Acosx+Bsinx into the equation:

y''+9y=12cosx
(Acosx+Bsinx)''+9(Acosx+Bsinx)=12cosx
-9Acosx-9Bsinx+9Acosx+9Bsinx=12cosx

Simplifying the equation gives us:

0=12cosx

This equation is true for all values of x if A=4/3 and B=0. Therefore, the particular solution of the equation is:

yp=4/3cosx+0sinx
yp=4/3cosx

So, the particular solution of the equation y''+9y=12cosx is yp=4/3cosx.

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uwu I see a lot of problems,

1. She can only type 3 words per minute

2. She can only type 3 words per minute

the answer is 15cm (pls mark brainlest)

Answer:

3:40

Step-by-step explanation:

We need both measurements in the same units.

1 m = 100 cm

2 m = 2 × 1 m = 2 × 100 cm = 200 cm

15 cm to 2 m = 15 cm to 200 m

Divide both numbers in the ratio by 5 cm.

15 cm to 200 cm = 3:40

1. (bh)/2 or (4 x 3)/2 = 6

2. (8 x 12)/2 = 48

3. (11.25 x 15.6)/2 = 87.75

4. (9 x 10)/2 = 45

Answer:

0 and -2

Step-by-step explanation:

To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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Using the Substraction algebra operation,

the number of left copies of magzine is 33.

we have given that

total copies of a magazine in the bookstore = 84

total copies sold by seller on yesterday= 14

total number of copies sold by seller on today

= 37

We have to calculate the total remained copies of a magzine in bookstore.

For this, we simply use the an algebra subtraction operation .

that is we substrate the sold copies of magzine in two days from total copies of a magazine in bookstore.

total sold copies of magzine in two days= 51

so, left copies of magzine in bookstore= total books in bookstore - total sold copies of magzine

=> left copies of magzine= 84 - 51 = 33

so, the copies of magzine left in bookstore is 33..

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Answer:

Step-by-step explanation:

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100

ex: 11% = 11/100