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3 years ago

Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2.

Mathematics

1 answer:

ohaa [14]3 years ago

8 0

Answer:

Step-by-step explanation:

(–1)8 + (–1)7 + –16 + –14 – (–1)2 = -8 -7 -16 -14 +2 = -45+2 = - 43

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What is the first 10 didgets of pie

jeka94

Answer:

3.1415926535 8979323846

Step-by-step explanation:

4 0

2 years ago

the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha

Aleonysh [2.5K]

Answer:

y = - $\frac{4}{5}$ x + $\frac{2}{5}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = $\frac{5}{4}$ x + $\frac{3}{4}$ ← in slope- intercept form

with slope m = $\frac{5}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{5}{4} }$ = - $\frac{4}{5}$ , thus

y = - $\frac{4}{5}$ x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - $\frac{12}{5}$ + c ⇒ c = - 2 + $\frac{12}{5}$ = $\frac{2}{5}$

y = - $\frac{4}{5}$ x + $\frac{2}{5}$ ← equation of perpendicular line

4 0

2 years ago

A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the

svp [43]

A rectangle is a two-dimensional shape with two sets of equal, parallel sides. These dimensions are the length (L) and the width (W). The formula for the rectangle's area is the product of the two dimensions. The formula for perimeter is

P = 2L + 2W

Since
A = LW = 64
W = 64/L
Substituting to the formula for perimeter would be,

P = 2L + 2(64/L)
P = 2L + 128/L

3 0

2 years ago

A factory employs several thousand workers, of whom 35% are Hispanic. If the 17 members of the union executive committee were ch

Elza [17]

Answer:

as p decreases, sigma decreases.

Step-by-step explanation:

Given that 35%are hispanic. For a sample of 17 members

n = 17

p = 0.35

and the number of Hispanics on the committee would have the binomial distribution

a) Mean of X = E(x) = $np = 17(0.35)\\= 5.95$

b) Std dev X = $\sqrt{npq} =\sqrt{5.95(0.65)} \\=1.9665$

c) Here n =17 and p =0.1

$Mean = 1.7\\\sigma = \sqrt{17(0.1)(0.9)} =1.234$

d) When p = 0.01

$Mean = 0.17\\\sigma = 0.410$

Thus we find that as p decreases, sigma decreases.

8 0

2 years ago

Find the length of side x in simplest radical form with a rational denominator<br><br>

HACTEHA [7]

Answer:

$x = \sqrt{2}$

Step-by-step explanation:

$\tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2}$

5 0

2 years ago