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3 years ago

What is the value of x in the rhombus below? (2x+3)" (3x+2)

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

5 0

Answer:

17°

Step-by-step explanation:

See attachment for the figure

The two diagonals of a rhombus are perpendicular . So, Rhombus have diagonals that intersect at 90 degree.

Therefore,

2x+3+3x+2=90 degree

5x=85

X= 17 degree

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What is the value of 3 in 2,135,789

alexgriva [62]

The three is in the ten thousands place. i hope this helps you out. :))))

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3 years ago

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Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power series expansion. Do not show that

Kobotan [32]

Answer:

Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).

Remember that the general Taylor expansion is:

$f(x) = f(a) + f'(a)*(x - a) + \frac{1}{2!}*f''(a)(x -a)^2 + ...$

for our function we have:

f'(x) = 1/x

f''(x) = -1/x^2

f'''(x) = (1/2)*(1/x^3)

this is enough, now just let's write the series:

$f(x) = ln(a) + \frac{1}{a} *(x - a) - \frac{1}{2!} *\frac{1}{a^2} *(x - a)^2 + \frac{1}{3!} *\frac{1}{2*a^3} *(x - a)^3 + ....$

This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.

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3 years ago

The average cost of living for a family of four in twelve different cities was found to be $65,351 with a standard deviation of

Andrej [43]

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

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3 years ago

How do you rewrite equations in slope intercept form ?

PIT_PIT [208]

Slope intercept form is y = mx+b, so you can see that you set the equation equal to y. So if the equation is 2y+3x=6, then you solve for y to put it in slope intercept form.
2y + 3x = 6
2y = -3x + 6
y = (-3/2)x + 3

Keep in mind that the term with the x has to be before the constant, so it can't be y = 3 -(3/2)x

And by the way m is the slope and b is y-intercept, so in <span>y = (-3/2)x + 3, -3/2 is slope and (0,3) is y-intercept</span>

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3 years ago

Explain how to find the sum −8.46+5.31. a.) Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative. b.

Amanda [17]

Step-by-step explanation:

Sum of −8.46 and 5.31 means we need to add −8.46+5.31.

We know that,

|-8.46| > |5.31|

It means we subtract 8.46 - 5.31

At hundredth place, 6-1 = 5

At tenths place, 4-3 = 1

At ones place, 8-5 = 3

It would mean that, 8.46 - 5.31 = 3.15

8.46 has a negative sign. It means that the final answer will have negative sign i.e. −8.46+5.31 = -3.15

Hence, the correct option is (a) " Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative".

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3 years ago