Need a bit of help on the question please

Answers

Answer 1

Answer: Hello,

as 6^3=6*6*6=216
∛(-216)=-6

Answer 2

Answer: remember
∛(mn)=(∛m)(∛n)
and
if you have the 3rd root of a negative number, the root will be negative

∛-216=(∛216)(∛-1)
we know that 216=6^3 (you know, just fun fact)
6(∛-1)
3rd root of -1 is -1 ((-1)^3=-1)
6(-1)
-6

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A set of books has 6 fiction books and 2 non - fiction books. If x is the cost of a fiction book and y is the cost of a non - fiction book, then which expression can be used to determine the total cost of 3 sets of books? *

How do you do this ?

Answers

T is 71 degrees. We know this because the area of a triangle is 180 degrees, you add the angles given 27+82 which equals 109 then subtract that from 180 to find the missing angle “T” 180-109=71

Answer:

71 degrees

Step-by-step explanation:

The angles in a triangle add to 180 degrees, so

∠M + ∠A +∠T = 180

We know ∠M is 82 degrees, and ∠A is 27 degrees, so we can substitute them in.

82+27+∠T=180

109+ ∠T=180 Combine like terms by adding 82 and 27

109-109+ ∠T=180-109 Subtract 109 from both sides to get ∠T by itself

∠T=71

So, the m∠T is 71 degrees

What is £56 divided in a ratio of 4:3?

Answers

In a ratio you must figure out the total number of parts. In this case we have a 4 part ratio and a 3 part ratio for 7 parts.

Each part of the ratio must be 1/7 of 56. So we divide 56/7 =8.

That means each part of the ratio is equal to 8.

We have 4 parts of the ratio that we must multiply by 8 4*8= 32
We have 3 parts of the ratio that we must multiply by 8 3*8 = 24

Therefore the ratio should be 32:24

Solve the equation: 9x − 2 = 4(x + 3)14

13

14

9

10

5

14

5

Answers

9x − 2 = 4(x + 3)
Use PEMDAS
9x - 2 = 4(x + 3)
9x - 2 = 4x + 12
add 2 to both sides
9x = 4x + 14
subtract 4x from both sides
5x = 14
divide both sides by 5
x = 14/5
x = 2 4/5

Hope this helps!

A population grows from an initial size of 10 people to an amount P(t), given by P(t)=10(3+0.5t+t^3) where t is measured in years from 1996. Find the acceleration in the population t years from 1996.a)60t people per year^2
b)30t people per year^2
c)600t people per year
d)36t people per year^2

Answers

The acceleration in the population t years from 1996 is 60t people per year^2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

It is given that a population grows from an initial size of 10 people to an amount P(t), given by P(t)=10(3+0.5t+t³) where t is measured in years from 1996.

Now, in order to find the acceleration in the population t years from 1996, we need to find the second derivative of the populationfunction, therefore,

$P(t)=10(3+0.5t+t³)\n\nP'(t)=10(0.5+3t^2)\n\nP''(t)=10(6t)\n\nP''(t)=60t$

Hence, the acceleration in the population t years from 1996 is 60t people per year^2.

Learn more about Function:

brainly.com/question/5245372

Since the required is the acceleration in the population, the second derivative of the equation is needed.
The first derivative has to be determined first.
dP(t)/dt = 10(0.5+3t^2)
Next, the second derivative can be determined using the first derivative:
d2P(t) = 10(6t) = 60t
Since it's acceleration, the unit is per year^2

THE ANSWER IS a) 60t people per year^2

BD bisects ABC, m/ABC =8x, m/ABD=2x + 30. Find m/DBC.

Answers

Answer:

Step-by-step explanation:

To find the measure of angle DBC, we can use the angle bisector theorem, which states that in a triangle, if a line bisects one of the angles, it divides the opposite side into segments proportional to the other two sides. In this case, BD bisects angle ABC, so:m∠ABD / m∠DBC = AB / BCWe are given:

m∠ABC = 8x

m∠ABD = 2x + 30So, we have:(2x + 30) / m∠DBC = AB / BCNow, we need to express AB / BC in terms of x. To do that, we'll use the fact that angles in a triangle add up to 180 degrees:m∠ABC + m∠ABD + m∠DBC = 180Substitute the given angle measures:8x + (2x + 30) + m∠DBC = 180Combine like terms:10x + 30 + m∠DBC = 180Now, isolate m∠DBC:m∠DBC = 180 - 10x - 30

m∠DBC = 150 - 10xNow, we can substitute this expression for m∠DBC back into our proportion:(2x + 30) / (150 - 10x) = AB / BCNow, you can solve for m∠DBC:Cross-multiply:(2x + 30)(BC) = (150 - 10x)(AB)Now, you would need more information about the relationship between AB and BC or additional angle measures to solve for the exact value of m∠DBC. Without that additional information, you can't determine the specific angle measure.

Which radical expression is equivalent to 5^2/3?sqrt 125

^3 sqrt 5

^3 sqrt 25

sqrt 5