What is the classification for this polynomial?
11

Answer:

Step-by-step explanation:

We presume you want the values of x, y, and z.

__

There are two "special triangles" in geometry and trigonometry. They are the 30°-60°-90° right triangle that is half of an equilateral triangle, and the 45°-45°-90° isosceles right triangle that is half a square (cut by the diagonal).

The side ratios of these special triangles are relatively easy to remember. It is useful to memorize them.

__

For the isosceles right triangle, the side lengths are the same. The Pythagorean theorem tells you that if they are both 1, then the hypotenuse is ...

  √(1²+1²) = √2

That is, the side lengths of the 45-45-90 triangle are in the ratio ...

  1 : 1 : √2

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For the triangle that is half an equilateral triangle, you know the hypotenuse is twice the length of the shortest side (since we got that short side by cutting a long side in half). Then the longer side can be found from the Pythagorean theorem:

  √(2²-1²) = √3

That is, the side lengths of the 30-60-90 triangle are in the ratio ...

  1 : √3 : 2

_____

In this problem, we're given the hypotenuse of a 30-60-90 triangle, so we know the short side of it (x) will be half that length:

  x = (16√3)/2

  x = 8√3

The hypotenuse of the 45-45-90 triangle will be √3 times x, so will be ...

  long side of small triangle = (√3)(8√3) = 24

The shorter sides of that 45-45-90 triangle will be this value divided by the square root of 2, so are ...

  y = z = 24/√2

We can multiply this by (√2)/(√2) to "rationalize the denominator".

  y = z = 12√2

Answer:

8\sqrt{3},\ 12\sqrt{2},\ 12\sqrt{2}

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

63-15 =48 48/8 is  6

Answer:

x = 6

Step-by-step explanation:

8x + 15 = 63

8x = 63 - 15

8x = 48

x = 48/8

x = 6

Answer:

Step-by-step explanation:

it will be 5 * 14 = 70 cm in real life scale

Answer:

~ 70 cm of the width of the actual item ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      1       =          14          ⇒   x - width of the actual item

      5                   x

2. Now let us cross multiply, and solve through simple algebra for x:

14 * 5= x,

x = 70 centimeters of the width of the actual item

Answer:

ooage booge ohag

Step-by-step explanation:

oomago ooga booga

Answer:

I got a universal translator and got "Hello in caveman goodbye in caveman"

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Add all values together:

[tex]4+6+5+4+4+5+4+8 = 40[/tex]

There are 8 numbers in the data set.

40 ÷ 8 = 5

The mean of the data is 5.

Order the numbers in ascending order.

4, 4, 4, 4, 5, 5, 6, 8

There is no exact middle number.

[tex](4+5)/2 =4.5[/tex]

The median of the data is 4.5.

'4' appears the most in the data set.

4, 4, 4, 4, 5, 5, 6, 8

The mode of the data is 4.

Answer:

Mean: 17

Median: 16

Mode: 10

Step-by-step explanation:

8, 10, 10, 11, 16, 17, 19, 21, 41

Median: (the middle number in the number list/data set) 16

Mode: 10

Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17

The mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

The mean of the numbers is defined as the ratio of the sum of the total numbers to the total count of the numbers.

The given numbers are,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mean = ( 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 ) / 9

Mean = 153/9

Mean = 17

The median is calculated by arranging the numbers in ascending order and the middle term of the data.

8, 10, 10, 11, 16, 17, 19, 21, 41

The median is 16.

The mode is calculated as the highest repetition in the data,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mode: 10

Therefore, the mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

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Answer:

D ) the sum of the prices divided by seven

Step-by-step explanation:

The list below shows the prices of T-shirts at a clothing store.

{8, 10, 10, 12, 15, 15, 18}

( 8 + 10 + 10 + 12 + 15 + 15 + 18 ) ÷ 7

Which statement best describes the mean of this set?

D) the sum of the prices divided by 7

The statement best describes the mean of this set is the sum of the prices divided by 7.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Mean of a set of data can be found by adding all the values of the data set and by dividing by the total number of values in the data set.

Given data set is the prices of T-shirts at a clothing store.

{8, 10, 10, 12, 15, 15, 18}

Mean of the data set = Sum of the prices/ Total number of values

Sum of the prices = 8 + 10 + 10 + 12 + 15 + 15 + 18 = 88

Total number of value in the set = 7

Mean = 88 / 7 = 12.574

Hence the mean can be found by adding up all the prices divided by 7.

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Answer:

-40/41

Step-by-step explanation:

Since we know 'cos' involves the Adjacent and Hypoteneus sides, we will need to solve for the 'Adjacent' side of the triangle using the Hypoteneus Theorem.

41² = 9² + a²

a = 40.

However, this is in quadrant II, so when finding the 'cos' value, this side is -40.

Cosine is A/H, giving is:

cos(01) = -40/41

Answer:

true

Step-by-step explanation:

.

Answer:

THere will be 8 heads and 2 tails

Step-by-step explanation:

I don't know

Answer:

well area is the space inside of a shape. so you would multiply 2 by 4 because there are 4 sides.

Step-by-step explanation:

Answer:  area is 10

Step-by-step explanation:

add top and bottom base

8+2=10

then divide by 2

10/2 = 5

then times 5 by 2

5*2=10

8+2/2 * 2 = 10

10 = area

Answer:

  (1 3/4, 2 1/2)

Step-by-step explanation:

The point of intersection is an "ordered pair." That means the order of the two numbers is important. The first number means something different than the second number.

So, if you want a reasonable estimate for (1.8, 2.6), you need to have the first number in the estimate be close to 1.8. The offered choices are ...

  1 3/4 = 1.75

  2 1/2 = 2.5

  1 1/3 ≈ 1.33

The closest of these to 1.8 is 1.75, so the first choice is the best choice so far.

__

The second number of the estimate needs to be close to 2.6. The offered choices are ...

  2 1/2 = 2.5

  1 3/4 = 1.75

  1 1/3 = 1.33

The closest of these to 2.6 is 2.5, so the first choice is still the best choice.

  A reasonable estimate is (1 3/4, 2 1/2).

Answer:

A: (1 3/4, 2 1/2)

Step-by-step explanation:

Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

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Answer:

The answer is "0.2"

Step-by-step explanation:

Given value:

factor = 10

The amount of two divided by the number of options. When both fours and eight gaps are available, that probability can be defined as follows:

[tex]\Rightarrow \frac{2}{10}\\\\\Rightarrow \frac{1}{5}\\\\\Rightarrow 0.2\\[/tex]

Answer:

(1): -4.7 - 2.3x + 0.5 - 4x

(2):-5.3x-4.2-x

(3):-3.4-6.3x-0.8

Step-by-step explanation:

By Collecting like terms and adding the answer I get -6.3x - 4.2

(1):-4.7-2.3x+0.5-4x

Collect like terms

-2.3x-4x-4.7+0.5

-6.3x-4.2

(2):-5.3x-4.2-x

Collect like terms

-5.3x-x-4.2

-6.3x-4.2

(3): -3.4-6.3x-0.8

Collect like terms

-6.3x-3.4-0.8

-6.3x-4.2

Answer:

The first 3 are equivalent the last 3 aren't.

Step-by-step explanation:

Answer:

32?

Step-by-step explanation:

Answer:

Depends on how many spoonfuls of sprinkles per sundae. Is there more details to this question?

Answer:

  5 units up

Step-by-step explanation:

Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.

f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.

Answer:

[tex]x^{4}[/tex] - 4x³ - 5x²

Step-by-step explanation:

-x²(-x² + 4x + 5)         Distribute

[tex]x^{4}[/tex] - 4x³ - 5x²

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Answer:

64 people can fit in the theater.

Step-by-step explanation:

If 60% is full then calculate how many people is it

[tex] \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64[/tex]

64 is 40% of 160

So this many people can be accommodated in the theater

Answer:

64 more people can fit in the theater

Step-by-step explanation:

You need to find 60% of 160

10%=16 (divided by 10)

16×6=96

160 (total people)-96(60%)=64

Answer:

Step-by-step explanation:

+ At time 0 (beginning), the volume is 5 (feet^3) of sand.

+ After 1 minute, it lefts: 90% of 5 = 0.9*5

+ After 2 minutes, it left 90% of (0.9*5) = 0.9*(0.9*5)

or

[tex]5.(0.9)^{2}[/tex]

+ After 3 minutes, it left 90% of    [tex]5.(0.9)^{2}[/tex]

or

[tex]5.(0.9)^{3}[/tex]

.......

+ After x minutes, it left 90% of    [tex]5.(0.9)^{x-1}[/tex]

or

[tex]5.(0.9)^{x}[/tex]

So the answer is [tex]5.(0.9)^{x}[/tex], that means C

Answer:

The null and alternative hypothesis for this study are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]P-value=P(z<-2.624)=0.004[/tex]

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Answer:-2

Step-by-step explanation:

Log3(1/9)

Log(1/9) ➗ Log3

Log(1/3^2) ➗ Log3

Log3^(-2) ➗ Log3

-2Log3 ➗ Log3

-2(Log3 ➗ Log3)

-2

The solution of the expression by taking a log is, log₃ (1/9) = - 2

Used the formula for the logarithmic function,

log₃ (a)ⁿ = n log₃ (a)

log₃ (3) = 1

Given that,

The logarithmic function is,

log₃ (1/9)

It can be written as,

log₃ (3⁻²)

Since, log₃ (a)ⁿ = n log₃ (a)

So, we get;

- 2 log₃ (3)

- 2 × 1

- 2

Therefore, the solution is - 2.

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Answer:

Step-by-step explanation:

a(1) = 10(.1)^1 = 1

a(2) = 10(.1)^2 = 10(0.01) = 0.1

a(3) = 10(.1)^3 = 10(0.001) = 0.01

a(4) = 0.001

a(5) = 0.0001

Answer:

129.3

Step-by-step explanation:

You have to find the number in the middle of all of the heights and multiply them by the all of the frequency (122x7 etc). When you have those answers, add them together and divide the answer by 40.

Answer:

D

Step-by-step explanation:

First found amount yielded

A = P(1+r)^nt

P is amount deposited 50,200

r is interest rate 13% = 13/100 = 0.13

t = 3

A = 50,200(1+0.13)^3

A = 50,200(1,13)^3

A = 72,433.42939999998

A is approximately 72,433.43

interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS

Answer:

Step-by-step explanation:

5(4)+ 3

20+3

23

Answer:

122.6 min

Step-by-step explanation:

3 miles = 28 min

13.1 miles=x

28min x 13.1 miles=366.8/3=122.6 min

Answer:

122mins

Step-by-step explanation:

3 miles take 28mins

Therefore the pace refers to the speed of travel and is 3/28

The new time of travel = distance /speed

= 13.1 / 3/28

=13.1 * 28 /3

=122.27

=122minutes

Answer:Oop

Step-by-step explanation: