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3 years ago

PLEASE HELP ME........

Mathematics

2 answers:

kati45 [8]3 years ago

5 0

Answer:

Step-by-step explanation:

Anna [14]3 years ago

3 0

Answer:

Step-by-step explanation:

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Review the proof of tan (A-B) =

Yuri [45]

Answer: The expression which must fill in each blank space to complete step 3 is; Choice B; Cos(A)Cos(B).

Which expression must fill in each blank space?

From the task content; It follows that the mathematical evaluation is in a bid to derive the Trigonometric identity for Tan (A-B).

From observation, it follows that the required expression is; cos(A)sin(B). This is because upon division of each term by the expression, the result is as in Step 4.

7 0

2 years ago

Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

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

Therefore the next term in the sequence is -2.

3 0

4 years ago

Tìm 2 phân số có tử số bằng 1 mẫu số là 2 số tự nhiên liên tiếp sao cho 7/59 ở giữa 2 phân số

Law Incorporation [45]

Answer:

Bajaj Pulsar of a great time in the 7th century there where you will have the gall the subcontinent the

7 0

3 years ago

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce s

Gekata [30.6K]

Answer:

The test results support the claim

Step-by-step explanation:

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight ounce servings (Coca-Cola Company website, February 3, 2009).

Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola’s corporate headquarters.

A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s = 101.9 ounces. Using α = .05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?

Hx: u <= 423 oz

Ha: u > 423 oz (claim)

z(460.4) = (460.4-423)/[101.9/sqrt(36)] = 2.2022

p-value = P(z > 2.2022) = 0.0138

Conclusion: Since the p-value is less than 5%

reject Hx at the 5% significance level.

The test results support the claim.

7 0

3 years ago

The length of a train car is 50.6 feet. this is 5.8 feet less than six time the width. what is the width?

Aliun [14]

Let x be the width of the train;

50.6ft =6x-5.8ft <--- solve for x
50.6+5.8=6x
56.4 ft=6x
56.4/6=x
9.4 ft = x

Therefore the width of the train is 9.4 ft

Hope I helped :)

8 0

3 years ago

PLEASE HELP ME........​

PLEASE HELP ME........