Prove algebraically that (image). Trigonometric Identities. Please help.

Hope it helps

Answer:

To order the numbers, start with the lowest (first) and work your way up (last). This is referred to as "Ascending Order." Consider climbing a mountain.

Answer:

168

Step-by-step explanation:

Surface area= 2(WL+HL+HW)

2×(4×6+6×6+6×4)

=168

Answer:

218

Step-by-step explanation:

436 ÷ 2

Using long division

436/2

4 ÷ 2 = 2

3 ÷ 2 = 1 remainder 1

We combine 1 and 6 together to give us 16

16 ÷ 2 = 8

Therefore, 436 ÷ 2 = 218

Answer:

?

Step-by-step explanation:

Answer:

step 2

Step-by-step explanation:

Erin's mistake is in step 2 it should be 8*2 first and 16* 5 which equals to 86

In Analysis of variance,  X (bar) is not affected by whether or not the population means are equal.

Analysis of variance  is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.

ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.

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To find first-order linear differential equations solution, we have to derive the general form or representation of the solution.

With the help of the steps shown below, we can learn how to solve the first-order differential equation.

1. Reorder the terms in the given equation so that they have the form \($\frac{dy}{dx}+Py=Q\) where P and Q are constants or functions of the independent variable x only.

2. Integrate P (obtained in step 1) with respect to x and then put this integral as a power of e to determine the integrating factor.

\($e^{\int P d x}\) = IF

3. The linear first-order differential equation's two sides should be multiplied by the IF.

4. The L.H.S of the equation is always a derivative of \($y \times M(x)$\) i.e. L.H.S \($= \frac{d(y \times I . F)}{dx}\)

\($d(y \times I . F) d x=Q \times I . F$\)

5. In order to arrive at the solution, we simply integrate both sides with respect to x in the last step.

Therefore \(y \times I . F=\int Q \times I . F d x+C$,\)

where C is some arbitrary constant

Similarly, we can also solve the other form of linear first-order differential equation \($\frac{dy}{dx}+Py=Q\) using the same steps.

P and Q are y's functions in this manner. We determine the solution, which will be, by using the integrating factor (I.F), which is

\($(x) \times(I . F)=\int Q \times I . F d y+c$\)

Now, to get a better insight into the linear differential equation, let us try solving some questions. where C is some arbitrary constant.

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Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:

n = 100, p = 0.5.

The mean and the standard deviation are given by:

Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (59.5 - 50)/5

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

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Answer: See explanation

Step-by-step explanation:

You didn't give further information that will be useful in solving the question but let me help out.

Let's say the price of a car is $30,000 and the sales tax is 4%, the tax that will be added to the car would be:

= 4% × $30,000

= 4/100 × $30,000

= 0.04 × $30,000

= $1200

The probability that the charity chosen is not a multiple of 12 is 74/80.

According to the statement

we have given that the auction are numbered 1 through 80. and we have to find the probability that the charity chosen is not a multiple of 12.

So, For this purpose, we know that the

The total numbers given is 80.

Then we know the multiples of 12 are:

12,24,36,48,60,72.

So, there are 6 numbers are multiple of 12 from 1 to 80.

SO, The numbers which are not multiple of 12 are :

80 - 6 = 74.

the probability that the charity chosen is not a multiple of 12 is 74/80.

So, The probability that the charity chosen is not a multiple of 12 is 74/80.

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Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer:

The equation is: 5(x+9) = 55

This basically means that five times the quantity x+9 is equal to 55.

Let me know if this helps!

same question how many times...?

3( 7 + x ) = 21 + 3x

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

The coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7) can be calculated using vector subtraction, which is (2,-4,4) or (-2,4,-4)

Vector subtraction is a method of subtracting one vector from another, resulting in a new vector. The new vector will have the same direction as the vector being subtracted, and a magnitude equal to the difference of the magnitudes of the vectors being subtracted.

In this case, the vector being subtracted is from the tail to the head, so the new vector will point from the head to the tail.

The vector from tail to head can be written as:

Tail to Head = (3, -2, 7) – (1, 2, 3) = (2, -4, 4)

Therefore, the vector from head to tail is:

Head to Tail = – (2, -4, 4) = (-2, 4, -4)

The coordinates of the vector from head to tail are (-2, 4, -4).

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Using Horner's algorithm P(4) = 946

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

Given that, p(z) = 3z⁵ - 7z⁴ - 5z³ + z² - 8z + 2

Using Horner's algorithm, we show the equation like:

p(z) = ((((3z - 7)z - 5)z + 1)z - 8)z +2

p(4) = ((((3*4 - 7)4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = ((((12 - 7)4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = (((5*4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = (((20 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = ((15*4 + 1)4 - 8)4 + 2

⇒ p(4) = ((60 + 1)4 - 8)4 + 2

⇒ p(4) = (61*4 - 8)4 + 2

⇒ p(4) = (244 - 8)4 + 2

⇒ p(4) = 236*4 + 2

⇒ p(4) = 944 + 2

⇒ p(4) = 946

Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 946 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 946 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (946 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^4 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.46874

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Answer:

A. R: -1 < y < 3

First, we need to subtract the last payment from the last month's balance.

Then, apply the interest:

Answer:

1.-12

2.-10

3.11

4.14

Step-by-step explanation:

I'm not explaining that much work XD

The values of the trigonometric functions are

7. \(sin\theta = \frac{12}{13}\)

\(cos\theta = \frac{5}{13}\)

\(tan\theta = \frac{12}{5}\)

\(csc\theta =\frac{13}{12}\)

\(sec\theta =\frac{13}{5}\)

\(cot\theta =\frac{5}{12}\)

8. \(sin\theta = \frac{\sqrt{7} }{4}\)

\(cos\theta = \frac{12}{16}\)

\(tan\theta =\frac{\sqrt{7} }{3}\)

\(csc\theta = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)

\(sec\theta =\frac{16}{12}\)

\(cot\theta = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)

From the question, we are to determine the values of the given trigonometric functions

7.

In the given triangle,

Opposite = 12

Adjacent = 5

Hypotenuse = ?

Hyp² = Opp² + Adj² (Pythagorean theorem)

∴ Hyp² = 12² + 5²

Hyp² = 144 + 25

Hyp² = 169

Hyp =√169

Hyp = 13

Using SOH CAH TOA

\(sin\theta = \frac{12}{13}\)

\(cos\theta = \frac{5}{13}\)

\(tan\theta = \frac{12}{5}\)

\(csc\theta =\frac{1}{sin\theta} =\frac{13}{12}\)

\(sec\theta =\frac{1}{cos\theta} =\frac{13}{5}\)

\(cot\theta =\frac{1}{tan\theta} =\frac{5}{12}\)

8.

Hypotenuse = 16

Adjacent = 12

Opposite = ?

Hyp² = Opp² + Adj² (Pythagorean theorem)

Opp² = Hyp² - Adj²

∴ Opp² = 16² - 12²

Opp² = 256 - 144

Opp² = 112

Opp =√112

Opp = 4√7

Using SOH CAH TOA

\(sin\theta = \frac{4\sqrt{7} }{16} = \frac{\sqrt{7} }{4}\)

\(cos\theta = \frac{12}{16}\)

\(tan\theta = \frac{4\sqrt{7} }{12}= \frac{\sqrt{7} }{3}\)

\(csc\theta =\frac{1}{sin\theta} =\frac{16}{4\sqrt{7} } = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)

\(sec\theta =\frac{1}{cos\theta} =\frac{16}{12}\)

\(cot\theta =\frac{1}{tan\theta} =\frac{12}{4\sqrt{7}} = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)

Hence, the values of the trigonometric functions are

7. \(sin\theta = \frac{12}{13}\)

\(cos\theta = \frac{5}{13}\)

\(tan\theta = \frac{12}{5}\)

\(csc\theta =\frac{13}{12}\)

\(sec\theta =\frac{13}{5}\)

\(cot\theta =\frac{5}{12}\)

8. \(sin\theta = \frac{\sqrt{7} }{4}\)

\(cos\theta = \frac{12}{16}\)

\(tan\theta =\frac{\sqrt{7} }{3}\)

\(csc\theta = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)

\(sec\theta =\frac{16}{12}\)

\(cot\theta = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)

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Answer:

Step-by-step explanation:

This is an exponential decay, because the base is fraction < 1

Answer:

$70/day

Step-by-step explanation:

7 days = 490

1 day   =     X

Cross multiply

7X  =  490

Divide both sides by 7

X=70

Statistical thinking is a decision-making skill demonstrated by the ability to draw conclusions based on data is an absolutely true statement.

The study and development of techniques for gathering, processing, interpreting, and presenting empirical data are within the purview of statistics, a branch of natural science. Work in statistics finds applications in almost all scientific disciplines, and covers in the many scientific disciplines inspire the creation of new statistical methods and theories. Statistics is a very multidisciplinary area. Statistical researchers use a range of mathematical and computational tools to draw conclusions and study the theory which underpins the approaches.

Uncertainty and variation are two cornerstones of the statistical profession. There are several circumstances in science (or more generally in life) when the result is unknown. In certain circumstances, the uncertainty arises from the fact that the conclusion is still undetermined.

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Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

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The three students have read a total of 950 pages combined.

To find out how many pages the three students have read combined, we need to add up the number of pages read by each student.

Let's label the students as A, B, and C and the number of pages they have read as a, b, and c, respectively. According to the given information, we have:

a = 350

b = 305

c = 295

To find the total number of pages read by all three students, we need to add up a, b, and c:

a + b + c = 350 + 305 + 295 = 950.

To find the total number of pages read by the three students, we need to add up the number of pages read by each student. This can be done by simply adding the values of a, b, and c. In this case, the total number of pages read by all three students is 950.

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Answer:

a ≈ 14.39

Step-by-step explanation:

7² + a² = 16²

49 + a² = 256

49 - 49 + a² = 256 - 49

a² = 207

√a² = √207

a = 14.3874945699

a ≈ 14.39

Answer:0.801

Step-by-step explanation:

Correct inequality that shows number of questions, q, will be on the quiz is,

⇒ q ≤ 15

Since, A relation by which we can compare two or more mathematical expression is called an inequality.

Here, We have to given that;

Mr. Pham assigns a quiz that will have at most 15 questions.

Since, Symbol of at most is, ( ≤ )

Hence, Correct inequality that shows number of questions, q, will be on the quiz is,

⇒ q ≤ 15

Thus, Correct inequality that shows number of questions, q, will be on the quiz is,

⇒ q ≤ 15

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