What is 2 divided by 1/5 testing you!

Devon pays $8.16 for 12 pounds of sugar. What is the price for 10<br> pounds of sugar

Rudik [331]

The answer is $6.80 because you need to divide both by 12 then times by 10

3 0

3 years ago

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Find an nth degree polynomial function with real coefficients satisfying the given conditions..

gregori [183]

we know that if we have a polynomial with real coefients and one root is a+bi, another root is a-bi

so

some roots are

3,-4,6+5i, 6-5i

for roots, r1 and r2

teh factors are

(x-r1)(x-r2)

so

we can put them in and

(x-3)(x+4)(x-6-5i)(x-6+5i)

(x^2+x-12)(2x^2-12x+61)

x^4-11x^3+37x^2+205x-732

to keep the same coefients, we multiply whole thing by c

c(x^4-11x^3+37x^2+205x-732)

we don't know what c is

we know that

f(1)=250

f(1)=c(x^4-11x^3+37x^2+205x-732)

find c

f(1)=c(1^4-11(1^3)+37(1^2)+205(1)-732)=250

f(1)=c(-500)=250

-500c=250

divide both sides by -500

c=-1/2

the polynomial (factored with real coefients) is

f(x)=-0.5(x-3)(x+4)(2x^2-12x+61)

3 0

3 years ago

Angle Relationships

serious [3.7K]

Answer:

A. cos 57°

Step-by-step explanation:

I calculated it logically

7 0

3 years ago

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Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3

jolli1 [7]

Answer:

Step-by-step explanation:

Given that :

Radiant energy produced per second = 3.9 * 10^33 ergs

Amount of radiant energy produced in (t) = 3.25 * 10^3 s

Radiant energy per second * time

(3.9 * 10^33) * (3.25 * 10^3)

12.675 * 10^(33 + 3)

12.675 * 10^36 ergs

= 1.2675 * 10^37 ergs

Reasonable distance for measuring tracks on a railroad:

1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm?

1.435 × 10^-3 mm = 0.001435 mm

1.435 × 10^3 mm = 1435mm

1.435 × 10^3 mm seems more reasonable

6 0

3 years ago

A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to

stepladder [879]

Answer:

Solution : 3.6 miles

Step-by-step explanation:

The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).

Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.

Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,

distance / sin(62.5) = 4 / sin(97.25)

Let distance = x ...

x / sin(62.5) = 4 / sin(97.25),

x / 0.88701083317 = 4 / 0.99200494968,

x * 0.99200494968 = 4 * 0.88701083317,

x * 0.99200494968 = 3.548,

x = ( About ) 3.5766 miles

Given the options the distance from the balloon to the soccer fields would be 3.6 miles.

6 0

4 years ago