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3 years ago

Logarithm

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer:

1) (1/3)log_7(10); 3) log_8(u) - log_8(v); 5) 3ln(x)

Step-by-step explanation:

log_7(^3sqrt(10))

log_7(10^1/3)

log_a(x^b) = b * log_a(x); when x >= 0.

(1/3)log_7(10)

About 0.39443...

log_8(u/v)

log_c(a/b) = log_c(a) - log_c(b)

log_8(u) - log_8(v)

ln(x^3)

log_a(x^b) = b * log_a(x); when x >= 0.

3ln(x)

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AJUDA PFVV<br><br><br> quanto é 2500÷2100×∛

zimovet [89]

3.57142857 es la repuesta

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2 years ago

Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart

yarga [219]

Answer:

144 feet to nearest foot.

Step-by-step explanation:

Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet

So we have 2 right angled triangles and:

tan 62 = h/x

tan 48 = h / (400- x) where h is the height of the balloon.

From the first equation x = h / tan 62 so plugging this into the second one:

tan 48 = h / ( 400 - h/tan 62)

h = 400 tan 48 - h tan 48 tan 62

h + h tan 48 tan 62 = 400 tan 48

h ( 1 + tan48 tan62) = 400 tan48

h = 400 tan 48 / (1 + tan 48 tan 62)

= 143.8 feet.

4 0

3 years ago

Helping my 2nd grader with his math homework and came across this. I don't know Common Core but I can find the sum "the old fash

n200080 [17]

427+316

step one- add 400 and 300=700
step two- take 3 from the 16 and add it to the 27 and add - 27+3+13=43
step three- add 43 and 700

I think that the common core way just adds more steps and makes it more complicated than just adding it regularly, but that's just me.

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3 years ago

Read 2 more answers

Function g can be thought of as a translated (shifted) version of f(x)=|x|

Gnoma [55]

Answer:

Step-by-step explanation:

If, for example, we translate the graph of f(x) = |x| 3 spaces to the right, then the equation becomes g(x) = |x - 3|

5 0

3 years ago

The table below represents a linear function f(x) and the equation represents a function g (x)

PolarNik [594]

Answer:

Step-by-step explanation:

a). For function 'f',

Slope of a linear function passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

For the function 'f' given in the table,

Slope of the linear function passing through two points (-1, -5) and (0, -1) given in the table,

Slope = $\frac{-5+1}{-1-0}$

= 4

Equation of the line passing through a point (0, -1) and slope = 4 will be,

y - y' = m(x - x')

y + 1 = 4(x - 0)

y = 4x - 1

f(x) = 4x - 1

For function 'g',

Equation of the function 'g' has been given as,

g(x) = 4x + 3

By comparing this equation with the slope-intercept equation of a line,

y = mx + b

Therefore, slope of the function 'g' is,

m = 4

Since slopes of both the functions are same, linear graphs of both the functions will be parallel.

b). Equation of the function 'f' is,

f(x) = 4x - 1

y-intercept of the function = -1

Equation of function 'g',

g(x) = 4x + 3

y-intercept = 3

Therefore, function 'g' will have the greater y-intercept.

4 0

3 years ago