Since its to the tenth power and the exponent is negative all you have to do is move the decimal point two positions back and your new answer is 0.382

3 0

3 years ago

Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than

vekshin1

Answer:

it is od 4m- 3

Step-by-step explanation:

8 0

3 years ago

he equation of the line of best fit of a scatter plot is y = 12x 7. what is the slope of the equation

Sedaia [141]

Equation of a line is given by y = mx + c; where m is the slope and c, the y-intercept.
Therefore for line y = 12x + 7, the slope is 12

6 0

3 years ago

Two vertical poles of lengths 11 ft and 14 ft stand 16 ft apart. A cable reaches from the top of one pole to some point on the g

Alex17521 [72]

We are given

total length of cable is 30 feet

and this cable is on hypotenuse sides of the triangles

so, we can draw triangle as

Let's assume those hypotenuse as 'a' and 'b'

so, we will have

$a+b=30$

now, we can find 'a' and 'b' from triangle

Smaller triangle:

$a=\sqrt{x^2+11^2}$

Larger triangle:

$b=\sqrt{(16-x)^2+14^2}$

we know that

$a+b=30$

so, we can plug this value

and we get

$\sqrt{x^2+11^2}+\sqrt{(16-x)^2+14^2} =30$

now, we can solve for x

$\left(\sqrt{x^2+11^2}\right)^2=\left(30-\sqrt{\left(16-x\right)^2+14^2}\right)^2$

$32x-1231=-60\sqrt{x^2-32x+452}$

$1024x^2-78784x+1515361=3600x^2-115200x+1627200$

now, we can use quadratic formula

we get

$x=\frac{-\sqrt{36416^2-1152389056}+36416}{5152},\:x=\frac{\sqrt{36416^2-1152389056}+36416}{5152}$

$x=4.510,x=9.627$

so,

The point should be located 4.510 feet , 9.627 feet from the smaller pole to use 30 feet cable............Answer

6 0

3 years ago

Which are the solutions of a quadratic equation x squared equals -5 x - 3​

Which are the solutions of a quadratic equation x squared equals -5 x - 3