H(x)=3x^4+2x-5/x+9x^3-7 is it polynomial? If so write in standard form, degree, type, and leading coefficient. (20 points)

Answer:

Step-by-step explanation:

1) sin 30=1/2

2) cos 60

3)sin 60

4) cos 90

Answer:

6

Step-by-step explanation:

greatest common factor of 18 and 24 is 6

Answer:

6.

Step-by-step explanation:

In order to solve this, we need to find the greatest common factor.

Let us now list down some factors to make 18 and 24.

18:

1 x 18

2 x 9

3 x 6

Since there are now no longer any more factors, we shall now list down factors of 24.

24:

1 x 24

2 x 12

3 x 8

4 x 6

Now that there are no more factors left to be listed, let us find the GCF (greatest common factor)

By looking at the list, you can find out that 6 is the GCF.

Hence, the answer is 6.

Answer: How Weather Exists

Step-by-step explanation:

~I think you mean, how weather exists.

You see, "Weather" exists because of the atmosphere. Evidently, weather  is the movement of the atmospheric gases around the planet that creates weather. Places like the Moon or Mercury do not have weather - only temperature changes.

~Hope this helped :)

The approximate percentage of all health and medical care expenditures in the united states spent on clinical preventive and public health services is less than 5%.

Spending on health care in the US has been rising and currently makes up more than 17% of the country's GDP. Little is known about how expenditure on each ailment varies by age and over time, despite the quantity and rise of this spending.

Spending on diabetes, ischemic heart disease, and low back and neck pain accounted for the greatest amounts by disease category in modelled projections of US spending on personal health care and public health from 1996 through 2013. Various illnesses and types of care had significantly differing rates of yearly cost growth.

It's possible that this knowledge will have an impact on efforts to reduce US healthcare costs.

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Answer:

Below in bold.

Step-by-step explanation:

Radius of the pizza = 1/2 * 8 = 4 in.

Area of the whole pizza = π r^2

=  π * 4^2

= 8 π

So if you take 1/8 away

the area left = 7/8 * 8 * π

= 7π

Taking π to be 22/7:

= 7 * 22/7

= approximately 22 in^2.

Answer:

P=7

Step-by-step explanation:

7-3=4

4/2=2

therefore,

p=7

(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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Answer:

5323

Step-by-step explanation:

453

The lack of calcium lines indicates that the star's outer atmosphere is not dense enough to produce observable absorption lines.

Calcium lines are dark absorption lines in the spectrum of a star or other astronomical object that are produced by the absorption of specific wavelengths of light by calcium atoms in the object's outer atmosphere.

If a star lacks calcium lines in its spectrum, it is likely to be a relatively young and hot star, with a surface temperature above about 7,000 K. This is because the calcium lines that are typically observed in the spectra of cooler stars are formed in the star's outer atmosphere, which is cooler and more diffuse than the layers closer to the star's core.

The absence of calcium lines in the spectrum of a star suggests that its outer atmosphere is relatively thin or transparent, and that the star's light is not passing through enough calcium-rich material to produce observable absorption lines.

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Answer:

2550 feet

Step-by-step explanation:

3000+1800-2250=2550

The number of ways to distribute the books is calculated using the concept of permutations, specifically the concept of selecting a subset without replacement. The answer is 199,584 possible ways.

In this scenario, we have 12 children and 8 different books. Since each child can receive at most one book, we can view this problem as selecting a subset of 8 books from the total set of 12 children.

To calculate the number of ways to distribute the books, we use the concept of permutations. Specifically, we use the formula for selecting a subset without replacement, denoted as nPr, where n is the total number of children and r is the number of books to be distributed.

Using this formula, we calculate 12P8, which is equivalent to 12!/(12-8)!. Simplifying this expression, we have 12!/4!. Evaluating the factorials, we find 12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 and 4! = 4 × 3 × 2 × 1.

By dividing 12! by 4!, we obtain 199,584, which represents the number of ways to distribute the 8 different books to the 12 children, ensuring that each child receives at most one book.

In summary, there are 199,584 possible ways to distribute the eight different books among 12 children, with each child receiving at most one book. This is calculated using the concept of permutations, specifically the formula 12P8 = 12!/4!.

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Step-by-step explanation:

from the picture we got angle HFG is 45 degree.

let x is the length of HF

we got sin45=sqrt(8)/x

1/sqrt(2)=sqrt8/x

x=sqrt16

x=4

note that x is the length of HF

let y is the length of HE

use pythagorean theory

3^2+4^2=y^2

9+16=y^2

25=y^2

5=y

so tanE is x/y

tanE=4/5

One error-detection method that can compensate for burst errors is the cyclic redundancy check (CRC).

This method involves adding extra bits to the data being transmitted, which can detect and correct errors in the data. and has error detection. CRC is particularly effective in detecting and correcting burst errors, which occur when a group of consecutive bits are corrupted in a data transmission.

An error-detection method that can compensate for burst errors is the "Reed-Solomon code". Reed-Solomon codes are block-based error correcting codes that can detect and correct multiple errors in data transmissions, making them highly effective in handling burst errors. These codes compensate for burst errors by using redundant information added to the original data, allowing the receiver to accurately reconstruct the original data even in the presence of errors.

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Answer:

Area of a triangle=1/2×base x height

Let y represent the height

50cm²=1/2×20cm×y

50cm²=10cm×y

50cm²/10cm=10cm×y/10cm

5cm=y

therefore the height of the triangle is 5cm

Area of a trapezoid=1/2×a+b×height

let h represent the height

42cm²=(1/2×14cm+7cm)×h

42cm²=1/2×21cm×h

42cm²=21cm×h/2

42cm²×2=21cm×h(cross multiply)

84cm²=21cmh

84cm²/21cm=21cmh/21cm

4cm=h

Therefore the height is 4cm

Answer:

x = 34°

Step-by-step explanation:

corresponding angles made by a transversal intersecting parallel lines are congruent.

The probability of the spinner landing on the letter C is 1/4

To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.

Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.

Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4

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The given question is incomplete, the complete question is:

A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

Substitute p = - 6 into (1)

3(- 6) + q = - 3

- 18 + q = - 3 ( add 18 to both sides )

q = 15

Answer:

y = \(\frac{1}{5}\) x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{5}\) x + 4 ← is in slope- intercept form

with slope m = \(\frac{1}{5}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{5}\) x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = \(\frac{1}{5}\) x - 5 ← equation of parallel line

Answer:

length = 4 feet

width = 4 feet

height = 10 feet

Step-by-step explanation:

8x4x5 = 160

4x4x10 = 160

Answer:

length = 4 feet

width = 4 feet

height = 10 feet

Step-by-step explanation:

First we must find the volume of prism A

Assuming that the prism is a rectangular prism we can easily calculate the volume by multiplying the length by the width by the height

So V = 8 * 4 * 5

8 * 4 = 32

32 * 5 = 160

Hence, the volume of prism a is 160ft²

The question states that the volume of prism A is  the same as the volume of prism B. Given that information we want to find the possible dimensions of prism B such that volume of prism A = volume of prism B.

We can do this by find the volume of each answer choice ( again, assuming that their rectangular prism )

For the first answer choice

4 * 4 * 10 = 160

160 = 160 however lets check the other answer choices.

For the second answer choice:

5 * 4 * 7 = 140

140≠160 therefore the second answer choice is not correct

For the third answer choice

8 * 4 * 6 = 192

192 ≠ 160 therefore the third answer choice is not correct

For the fourth answer choice

I can't see the dimensions, however we already know that the answer is the first answer choice.

Answer:

A

Step-by-step explanation:

Answer:

56.25

Step-by-step explanation:

so basically you divide 180 by the denominator of the fraction which is 16 and multiply by the numerator, so 180 divided by 16 times 5 cool i guess

Answer:

lots of letters

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer to that one is to math is how long you want to have you crops and two is how much money you will have in your pocket so that you can have another crops to take care of and also have a helper to help you grow crops for that issue

Answer:  $2.45

Step-by-step explanation:

$18.00 - $15.55 = $2.45.

Therefore, the tip was $2.45.

:D

Answer:

Step-by-step explanation:

Basically it’s goin to be 50 because it says round to the ten and it’s basically 47