Find the trigonometric ratios as simplified fractions and as decimals to the nearest thousandths (as necessary).



Sin X: Fraction ______ Decimal _______

Cos X: Fraction ______ Decimal ______

Tan X: Fraction _______ Decimal ______

(30 points)

Answer:

\(m=\frac{2}{3}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (40, 10)

Point (70, 30)

Step 2: Find slope m

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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Answer:

21;13

Step-by-step explanation:

ok so 68/4=17

and length is 4 longer then with so

so length is 17+4 amd with is 17-4

length:21

width:13

Answer:

Desmond has a debt of $98.

Step-by-step explanation:

We are given that Desmond has a monthly Netflix subscription that charges him $14. Since it is a monthly subscription, it is a recurring charge.

We are also given that he does not make payments for 7 months. This means that the subscription is recurring for seven months.

Therefore, if he is charged $14 monthly and is charged that for 7 months, we can say that he is charged $14 seven times.

Therefore, we can create an equation that solved how much his debt would be based on this information.

\(\displaystyle14(7) = c\\\\14\times7=98\\\\c = 98\)

Therefore, Desmond has a debt of $98.

The Equation for the given line in the graph is x+ y = 3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the Graph take two points (0, 3) and ( 3, 0)

So, slope for the line

= ( 0-3 ) ( 3-0)

= -3/3

= -1

So, the Equation of line is

y\(- y_1\)  = m(x\(-x_1\))

y- 3 = (-1)(x- 0)

y- 3 = -x

y+ x = 3

x+ y = 3

Hence, the Equation line is x+ y= 3.

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Answer:

77.91 units²

or

77.91 square units

Step-by-step explanation:

the area of a circle is A=pi*r²

since we only need a certain fraction, we will multiply it with 62/360

62° is the given angle. 360° would be the full circle

A = pi * 12² * 62/360

note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared

Answer:

d. 85%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The higher the confidence level, the higher the value of z, which means that the margin of error will be higher and the interval will be wider,

Which confidence interval would be the narrowest?

The one with the lowest confidence level. So the answer is d.

Answer:

4+5/2

9/2= 4.5

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

the median is the middle term in a sequence

since there are an even number of terms and not an obvious median, we take the two middle terms, add them together, and divide by two

So, 5+3= 8

8÷2= 4

hope this helps chu

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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Answer: pick the third one

Step-by-step explanation:

Answer:

To determine the scale factor used to create the image, we need to compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.

Let's take the side AB of triangle ABC and its corresponding side A'B' of triangle A'B'C'. The length of AB is 18-9=9 units, while the length of A'B' is 6-3=3 units. Therefore, the scale factor for the dilation from triangle ABC to triangle A'B'C' is:

scale factor = length of A'B' / length of AB = 3/9 = 1/3

So the answer is: the scale factor used to create the image is one third.

Step-by-step explanation:

The scale factor used to create the image triangle A'B'C' is 1/4.

To determine the scale factor used to create the image, we can compare the corresponding side lengths of the original triangle ABC and the resulting triangle A'B'C'.

Let's calculate the length of a side of triangle ABC and the corresponding side of triangle A'B'C':

Length of side AB in triangle ABC:

AB = √(12 - 4)² + (4 - 4)²

= 8

Length of side A'B' in triangle A'B'C':

A'B' = √(3 - 1)² + (1 - 1)²

=2

To find the scale factor, we can divide the length of the corresponding side in the image triangle (A'B'C') by the length of the corresponding side in the original triangle (ABC):

Scale factor = A'B' / AB

= 2 / 8

= 1/4

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Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

Step-by-step explanation:

(8+7x) x 9 =

8 x 9 + 7x x 9 -

72 + 63x

Hope that helps!

Answer:

\(\huge\boxed{\boxed{\sf{72+63x}}}\)

Step-by-step explanation:

Hello.

In order to simplify this expression, we need to

multiply  8+7x times 9

8×9=72

7x×9=63x

72+63x

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

\(\stackrel{f(x)}{500(0.97)^x}~~ = ~~\stackrel{g(x)}{20(1.03)^x}\implies \cfrac{500(0.97)^x}{20}=1.03^x\implies 25(0.97)^x=1.03^x \\\\\\ \cfrac{25(0.97)^x}{1.03^x}=1\implies \cfrac{0.97^x}{1.03^x}=\cfrac{1}{25}\implies \left( \cfrac{0.97}{1.03} \right)^x=\cfrac{1}{25}\)

\(\log\left[ \left( \cfrac{0.97}{1.03} \right)^x \right]=\log\left( \cfrac{1}{25} \right)\implies x\log\left( \cfrac{0.97}{1.03} \right)=\log\left( \cfrac{1}{25} \right) \\\\\\ x=\cfrac{\log\left( \frac{1}{25} \right)}{\log\left( \frac{0.97}{1.03} \right)}\implies \boxed{x\approx 54}\)

Answer:

40 grams

Step-by-step explanation:

........................

Answer: 0.10x grams

Step-by-step explanation:

The sample mean percentage x is 62.3% and the sample standard deviation S is 8.08%.

To find the percentage of hospitals that provide at least some charity care, we need to use the given sample data.

(a) Using a calculator with mean and sample standard deviation keys, we can find the sample mean percentage x and the sample standard deviation S.

\(x = \frac{56.9 + 55.9 + 52.5 + 65.7 + 59.0 + 64.7 + 70.1 + 64.7 + 53.5 + 78.2}{10}\\\\ = 62.3% \\\\\\\\S = \sqrt{\frac{((56.9 - 62.3)^2 + (55.9 - 62.3)^2 + ... + (78.2 - 62.3)^2) }{ 9}}\\\\ = 8.08\%\)

Therefore, the sample mean percentage x is 62.3% and the sample standard deviation S is 8.08%.

(b) To find a 90% confidence interval for the population average u of the percentage of hospitals providing at least some charity care, we can use the formula:

\(CI = x \pm z*(S/sqrtn)\)

where CI is the confidence interval, x is the sample mean percentage, z is the z-score for the desired confidence level (90% in this case), S is the sample standard deviation, and n is the sample size (10 in this case).

From the z-table, the z-score for a 90% confidence level is 1.645.

Plugging in the values, we get:

CI = 62.3 ± 1.645*(8.08/sqrt(10)) = (55.5%, 69.1%)

Therefore, we can be 90% confident that the true population average percentage of hospitals providing at least some charity care is between 55.5% and 69.1%.

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Answer:

Positive

Step-by-step explanation:

When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.

The z-score of a person who scored 330 on the exam is approximately 2.7.

To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:

z = (x - μ) / σ

where:

z is the z-score

x is the raw score (330 in this case)

μ is the mean (195 in this case)

σ is the standard deviation (50 in this case)

Substituting the values into the formula, we get:

z = (330 - 195) / 50

z = 135 / 50

z = 2.7

The z-score of a person who scored 330 on the exam is 2.7.

The z-score measures the number of standard deviations a particular data point is away from the mean.

In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.

The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.

A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.

In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.

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Answer:

  D.  31

Step-by-step explanation:

The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...

  ∛(1331 m³) = 11 m

For the box that is 729 m³, the height is ...

  ∛(729 m³) = 9 m

Then the total height of the stack of boxes is ...

  11 m + 11 m + 9 m = 31 m

Answer:

31

Step-by-step explanation:

I took the test on Edmentum, have a good day hope it helps :)

If the value of b is 8. Then the value of the expression (9 - b) will be 1.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 9 - b

If the value of b is 8. Then the value of the expression will be

⇒ 9 - b

⇒ 9 - 8

⇒ 1

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The complete statement is -

This equation will have infinitely many solutions when h = 4 because you get infinite solutions when you have the same number of x's on each side and the same constant.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the equation as -

4x + 4 = 4x + h

Now, for h = 4, the equation will become -

4x + 4 = 4x + 4

4x = 4x

x = x

x - x = 0

0 = 0

We can fill in the blank as -

This equation will have infinitely many solutions when h = 4 because you get infinite solutions when you have the same number of x's on each side and the same constant.

Therefore, the complete statement is -

This equation will have infinitely many solutions when h = 4 because you get infinite solutions when you have the same number of x's on each side and the same constant.

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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The inequalities which satisfy the number line shown is x>2 and x>=2.

We are given that;

The number line showing inequality

Now,

x>2 satisfies the equation by the given number line

x>=2 satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

Therefore, by the number line the answer will be x>2 and x>=2 .

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Answer:

x=8,y=4

Step-by-step explanation:

Answer:

Smiles = $0.215 per ounce

Tartar Free = $0.2075 per ounce

Bright = $0.19875 per ounce

I will buy Bright because it is the cheapest.

Bronze Smart = $0.23625 per ounce

Ray Block = $0.25 per ounce

Healthy Glow = $0.3725 per ounce

I will buy Bronze Smart because it is the cheapest sunscreen here.

Fresh = $0.29875 per ounce

Clean Scent = $0.259 per ounce

Spring = $0.24833333333 per ounce

I will buy Spring because it costs less than the other deodorants.

Step-by-step explanation:

divide the cost by the ounces and you will get the cost per ounce

Have a nice day! :-)

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

c

Step-by-step explanation:

I did this last year