What SAS stand for in math?

To determine the landing point, we need to balance the time it takes to row the boat with the time it takes to walk.

The woman's rowing speed is 3 km/h, and her walking speed is denoted as w km/h. Let d be the distance from the island to the landing point, and x be the distance she needs to walk from the landing point to reach the town. The total time for rowing (d/3) should be equal to the total time for walking [(12 - x)/w] in order to arrive at the town.

By rearranging the equation, we find that the landing point should be 12 km minus the distance covered by walking (d * w) divided by 3.

The exact value of x depends on the specific distances involved and the woman's walking speed, which are not provided in the given information.


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To determine whether the series Σn=4[infinity]8/n^2 − 1 is convergent or divergent, we need to express sn as a telescoping sum.

First, we need to write out a few terms of the series to see if we can spot a pattern:

u4 = 8/4^2 - 1 = 1/3
u5 = 8/5^2 - 1/4^2 = 39/60
u6 = 8/6^2 - 1/5^2 = 77/120

Notice that each term has a denominator of the form (n+1)(n-1). We can use partial fractions to write each term as:

un = A/(n-1) - B/(n+1)

Multiplying both sides by (n-1)(n+1), we get:

un = A(n+1) - B(n-1)

Now we need to solve for A and B. Let's start with A:

u4 = A(5) - B(3) = 1/3

And now B:

u6 = A(7) - B(5) = 77/120

Solving for A and B, we get:

A = 1/2
B = 1/2

Now we can express sn as a telescoping sum:

sn = u4 + u5 + u6 + ... + un
  = (1/2)((5/3) - (3/5)) + (1/2)((6/4) - (4/6)) + ... + (1/2)((n+1)/n - (n-1)/(n+1))

Notice that most of the terms cancel out, leaving us with:

sn = (1/2)(5/3 + 6/4 + ... + (n+1)/n) - (1/2)(3/5 + 4/6 + ... + (n-1)/(n+1))

Both of the series inside the parentheses are telescoping sums, which means they converge. Therefore, sn also converges.
Hi! To determine if the given series is convergent or divergent, let's express it as a telescoping sum using partial fraction decomposition. The series is:

u_n = Σ (8 / n^2 - 1) for n = 4 to infinity.

Using partial fraction decomposition, we can rewrite 8 / (n^2 - 1) as:

8 / (n^2 - 1) = A / (n - 1) + B / (n + 1)

8 = A(n + 1) + B(n - 1)

Now, we'll find the values of A and B:

Let n = 1: 8 = 2A => A = 4
Let n = -1: 8 = -2B => B = -4

So, our decomposition becomes:

u_n = Σ [4 / (n - 1) - 4 / (n + 1)] for n = 4 to infinity.

Now, let's find the telescoping sum:

s_n = Σ (u_k) for k = 4 to n
= (4/3 - 4/5) + (4/4 - 4/6) + ... + (4/(n-1) - 4/(n+1))

When we sum the series, we observe that consecutive terms cancel out:

s_n = 4/3 - 4/(n+1)

Now, we'll check the convergence or divergence of the series as n approaches infinity:

lim (s_n) as n→∞ = lim (4/3 - 4/(n+1)) as n→∞

Since the second term 4/(n+1) approaches 0 as n approaches infinity, the limit converges to 4/3.

Therefore, the series is convergent.

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The coefficient of multiple determination is describe as it ranges from

0 to 1.

As given in the question,

Explanation about coefficient of multiple determination is as follow:

Therefore, the coefficient of multiple determination is ranges from 0 to 1.

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Answer:

Step-by-step explanation:

Answer:

It will be the answer , i think

Step-by-step explanation:

Let me know if it was wrong or you wanted further explanation .

Answer:

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

Step-by-step explanation:

3-4x=5x^2-14x

3=5x^2-14x+4x

3=5x^2-10x

5x^2-10x-3=0

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

8/5=x^2-2x+1

Cross product

8=5(x^2-2x+1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

Answer:

3 - 4x = 5x2 - 14x

= 3 - 5x2 = - 14x + 4x

=  3 - 10 = 10x

= 7 = 10x

= x = 7/10

= x = 0.7

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

80$

Step-by-step explanation:

1 friend=20$

20$+20$+20$+20$

AKA 20x4

=80

Answer:

2,4,8,16,32

Step-by-step explanation:

Arithmetic sequences are when a number is added constantly. An example will be 1,2,3,4,5.

In this case, the answer is 2,4,8,16,32 because it is multiplied not added. Therefore, this is the correct answer.

If this helps please mark as brainliest

Answer:

19

Step-by-step explanation:

If I'm being honest I just looked it up.

Answer:

i believe the answer is 4

Answer:

No

Step-by-step explanation:

75%

21

28 5.88

21 x 28

100

= 5.88

x 100% = 75%33.3333333333%

28 - 21

21

x 100% = 33.3333333333%

Answer:

true

Step-by-step explanation:

Answer:

angel abcd is not possible

Answer:

can u show the angels?

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

5/9

brainliest please x

Answer:

5/ 9 ≈0.556

Step by-step explanation:

!!

Answer:?

Step-by-step explanation: did u get the answer

Answer:

Step-by-step Peppers cost $4 per pound

explanation:

Answer:

5,004,300

Step-by-step explanation:

The value of n that makes all of the numbers in the set {32 + n, n/8, and √(n + 23)} natural numbers is n = 63.

To find the smallest value of n so that all of the numbers in the set {32 + n, n/8, and √(n + 23)} are natural numbers, we need to determine the factors of the given numbers. We know that a natural number has no fractional part and is greater than or equal to 1.

We can find the smallest value of n by taking the Least Common Multiple (LCM) of the denominators of the fractions in the given set. So, let's begin:1. 32 + n = natural number

If n = 0, then 32 + n = 32, which is not a natural number. If n = 1, then 32 + n = 33, which is a natural number. Therefore, the value of n that makes 32 + n a natural number is n = 1.2. n/8 = natural number

If n is a multiple of 8, then n/8 is a natural number. Therefore, the value of n that makes n/8 a natural number is any positive multiple of 8.3. √(n + 23) = natural number

If n + 23 is a perfect square, then √(n + 23) is a natural number. Therefore, the value of n that makes √(n + 23) a natural number is any number that is 1 less than a perfect square.

We need to find the smallest value of n that satisfies all three conditions above. The LCM of 8 and 1 is 8. The smallest multiple of 8 that is 1 less than a perfect square is 63. Thus, the smallest value of n is 63.

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Answer:

x = 1/9(b)

Step-by-step explanation:

Step 1: Subtract 6x from both sides.

Step 2: Subtract b from both sides.

Step 3: Divide both sides by -9.

Therefore, \(x = \frac{1}{9}b\).

Answer: The triangles are not congruent.

Step-by-step explanation:

We are given that the two triangles both contain a congruent angle and two congruent sides. The triangles have two congruent sides with a non-included congruent angle among them.

However, because the two triangles only have two congruent sides, and the angle shared by each triangle is not included between the two sides, the triangle would be "congruent" by SSA, which is not a triangle congruency theorem or postulate.

Therefore, the two triangles are not congruent.

I hope this helps!

The method of moments estimate for the parameter θ in the given probability-function is θ = 0.67.

Given probability function pX(k; θ) = θk(1 - θ)1-k, k = 0, 1;

To find:

Method of moments estimate for the parameter θ for the given sample size of 5, which is a set of numbers {0, 0, 1, 0, 1}

Step-by-step explanation:

Sample size (n) = 5

Number of 1's in the given set = 2

Number of 0's in the given set = 3

Therefore, the sample proportion (p) of getting 1's from the given set is; p = 2/5= 0.4

Now, the sample proportion (p) of getting 1's is equal to the mean (μ) of the given probability function ;p = μ= θ/(1 + θ)

When we solve the above equation for θ, we get;θ = p/(1 - p)= 0.4/(1 - 0.4)= 0.67 (rounded to two decimal places)

Hence, the method of moments estimate for the parameter θ in the given probability function is θ = 0.67.

The method of moments estimate for the parameter θ in the given probability function is θ = 0.67, for the sample size of 5, which is a set of numbers {0, 0, 1, 0, 1}.

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Answer:

4%

Step-by-step explanation:

8/200 = 0.04

TIP

pencil =$0.12

Eraser= $0.52

Pen=$0.44

STEP 1

Three students each bought 3 pencils and an eraser.

STEP 2

Two students each bought a pen and 2 pencils

STEP 3

Total cost

THE CORRECT OPTION IS OPTION B

Answer:

32

Step-by-step explanation:

2[18 -(5 + 9) ÷7]

2[18 -14 ÷7]

2[18 -2]

2[16]

32

Answer:

Step-by-step explanation:

The first one is correct.

Answer:

The firest one( 2x + 8y ≤ 140 )

Step-by-step explanation:

In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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Answer: I tried it and my answer was not an option, I got -1/3 sorry

Step-by-step explanation:

I got -20/7. I am sorry .

Answer:

544 in²

Step-by-step explanation:

Find the area of the rectangle, then the triangle, then add them together to get the total SA.

Rectangle = l x w = 10 x 14 = 140 in²

SA of the 2 rectangular sides = 140 x 2 = 280 in²

Triangle = 1/2bh = 1/2(12)(8) = 48²

SA of the 2 triangular ends = 2 x 48 = 96 in²

Rectangular base = 14 x 12 = 168 in²

Total SA = 280 + 96 + 168 = 544 in²

Answer:

x = y - 5

Step-by-step explanation:

Given

y = x + 5 ( isolate x by subtracting 5 from both sides )

y - 5 = x

Answer:

x = y - 5

Step-by-step explanation:

y = x + 5

subtract 5 left and right of the = sign , which gives you the answer.

y - 5 = x + 5 - 5

+5 - 5 = 0 so...

y - 5 = x

re arrange and voila!

x = y - 5

Answer:

r=6

Step-by-step explanation:

156/r=26

All terms are shifted to the left:

156/r-(26)=0

We divide every term by the denominator.

-26*r+156=0

All the numbers and variables are added together.

-26r+156=0

All terms containing r are shifted to the left, and all other terms are shifted to the right.

-26r=-156

r=-156/-26

r=6