All categories

3 years ago

Use the method from the Example to approximate the solution to the equations below to two decimal places.

Mathematics

1 answer:

shutvik [7]3 years ago

3 0

Answer:

The approximate solution of the equation is 4,29.

Step-by-step explanation:

The solve of this fomula is:

5ˣ = 1000

You can use log in each side of the formula::

log₁₀ 5ˣ = log₁₀ 1000

By logarithm law (logₐ (mⁿ) = n logₐ m. And as log₁₀(1000) = 3:

x log₁₀ 5 = 3

x = 3 / log₁₀ 5

x ≈ 4,29

Thus, the approximate solution of the equation is 4,29.

I hope it helps!

You might be interested in

Some group insurance plans cover ordinary doctor visits and dental work. T or F

kati45 [8]

After you meet your copay

3 0

4 years ago

Read 2 more answers

The circumference of a circle is 15n cm what is the area of the circle in terms of n

Mice21 [21]

Answer:

Area of circle is $\dfrac{225n^{2}}{4\pi} cm^{2}$

Step-by-step explanation:

Formula for circumference of circle is given as,

$C=2\pi r$

Given that C = 15 n cm,

Substituting the value,

$15n=2\pi r$

Solving above equation for r, divide both side by $2\pi$

$\dfrac{15n}{2\pi}=\dfrac{2\pi r}{2\pi}$

Simplifying,

$\dfrac{15n}{2\pi}=r$

Formula for area of circle is given as,

$A=\pi r^{2}$

Substituting the value of r,

$A=\pi \left(\dfrac{15n}{2\pi}\right)^{2}$

Squaring the parenthesis,

$A=\pi \left(\dfrac{225n^{2}}{4\pi^{2}}\right)$

Cancelling out the common term,

$A=\dfrac{225n^{2}}{4\pi}$

Therefore, area of circle in terms of n is $A=\dfrac{225n^{2}}{4\pi} cm^{2}$

5 0

4 years ago

A computer program selects blue,red,green as the background color each time the program is used.The program was used 45 times on

forsale [732]

Answer:

Option b.

Step-by-step explanation:

Consider the below figure attached with this question.

A computer program selects blue,red,green as the background color each time the program is used.

Blue background = 12 times

Red background = 21 times

Green background = (45-12-21) times = 12 times

Blue background = Green background

Red background ≠ Green background

Green is just as likely as blue to appear, but not as likely as red.

Therefore, the correct option is b.

3 0

3 years ago

Equation for parabola that has points (-4,2) (0,2) (-2,3)

almond37 [142]

Step-by-step explanation:

What is the equation of the parabola that has a vertex at

(

−

)

and passes through point

(

−

)

To solve this you need to use the vertex form of the equation of a parabola which is

(

−

)

, where

(

)

are the coordinates of the vertex.

Explanation:

The first step is to define your variables

−

And we know one set of points on the graph, so

−

Next solve the formula for

(

−

)

−

(

−

)

−

(

−

)

−

To create a general formula for the parabola you would put in the values for

, and

and then simplify.

(

−

)

−

(

)

−

(

)

−

So the equation of a parabola that has a vertex at

(

−

)

and passes through point

(

−

)

is:

−

4 0

3 years ago

Name each polynomial by degree and number of terms. -5a + 5a^2 + 2 - 3a^4

Ray Of Light [21]

Answer:

Quartic polynomial with four terms

8 0

3 years ago