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4 years ago

Using the correct number of significant figures?

Mathematics

1 answer:

Ksenya-84 [330]4 years ago

3 0

For seven it would be 93.1, 3 sig figs and same for ten. It would be 2.78*10^3

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Set up the characteristic equation, which is given by r2 − 5r − 6 = 0. The roots of this equation are given by r1 = 6 and r2 = −

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

From your characteristic equation, your recursive equation is

$f(n+2) = 5 f(n=1) +6f(n)$

the general solution:

$f(n) = A6^n + B(-1)^n$

The initial conditions are

$f(0) =1 ~~~and~~~ f(1) = 3$

For f(0) = 1, that is

$f(0) = A6^0 + B(-1)^0 = A+ B=1 (*)$

For f(1) = 3, that is

$f(1) = A6^1 + B(-1)^1 = 3$

$6A- B = 3 (**)$

From (*) and (**) you solve for A and B

you have A = 4/7 and B= 3/7

Replace A, B into the general one, you have the particular solution for the given condition

$f(n) = 4/7 *6^n +3/7*(-1)^n$

4 0

4 years ago

Evaluate arccsc 2

Tasya [4]

Answer:

The answer is option C

arccsc 2 = π/6 , 5π/6

Hope this helps

3 0

3 years ago

What is an equation of the line that passes through the point (-4,-6) and is perpendicular to the line 4x+5y=25

elixir [45]

Answer:

$y = \frac{5}{4} x - 1$

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

First rewrite the equation of the given line in the form of y=mx +c.

4x+5y=25

5y= -4x +25

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

The gradient of the given line is $- \frac{4}{5}$

The product of the gradient of perpendicular lines is -1.

$( - \frac{4}{5} )(gradient \: of \: line) = - 1 \\ gradient \: of \: line = - 1 \div ( - \frac{4}{5} ) \\ gradient \: of \: line = \frac{5}{4}$

Thus, m= $\frac{5}{4}$

$y = \frac{5}{4} x + c$

Substitute a coordinate to find c.

When x= -4, y= -6,

$- 6 = \frac{5}{4} ( - 4) + c \\ - 6 = - 5 + c \\ c = 5 - 6 \\ c = - 1$

Hence, the equation of the line is

$y = \frac{5}{4} x - 1$

7 0

3 years ago

Pls help ASAP!!!<br> Thank you

EastWind [94]

Answer:

in the first box it is "addition property of equality" and in the second box it is "multiplication property of equality"

7 0

3 years ago

A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3.5 inches long. What is the scale factor of the mode?

polet [3.4K]

Assuming the life sized dolphin is 12 ft long, what we want to know is what factor do you multiply 12 ft by to get 3.5 inches so converting this to an equation gives: 12*f=3.5 solving for f gives f=3.5/12=.29166...The units on the factor are inches/foot.

So to get the size if anything linear in the small scale you just multiply it's dimension in the full scale by f.

3 0

3 years ago