MATHEMATICS HIGH SCHOOL

Write the radical below in the simplest radical form

√210

Pls show ur work

Answers

Answer 1

Answer:

Answer:

$√(210)$

Step-by-step explanation:

Let's look at the prime factors of 210.

210 = 2 * 3 * 5 * 7

$√(210) = √(2 * 3 * 5 * 7) = √(210)$

Since no factor appears more than once, this radical cannot be simplified.

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Jenny wants a total of 12 barbie dolls by the time she is 9 years old.She has 4 barbie dolls. how many more does she need?

Answers

Answer:

she needs 8

Step-by-step explanation:

12-4=8

What is the value of x if 3ax - 4x equals 15a -20?

Answers

Step-by-step explanation:

3ax - 4x = 15a - 20

x(3a - 4) = 15a - 20

so,

x × 3a = 15a

x × 3 = 15

x = 15/3 = 5

x × -4 = -20

x = -20/-4 = 5

since both terms have the same solution, it is the solution for the whole equation :

x = 5

Isoke is solving the quadratic equation by completing the square. 10x2 + 40x – 13 = 0 10x2 + 40x = 13 A(x2 + 4x) = 13 What is the value of A?

Answers

Answer:

A = 10

Step-by-step explanation:

We have given that : A quadratic equation $10x^2+40x-13=0$

another equation $A(x^2+4x)=13$

To find: The value of A

Solution: Taking the quadratic equation $10x^2+40x-13=0$

and try to reduce this equation in form of another equation

$10x^2+40x-13=0$ ⇒ $10(x^2+4x)=13$

Comparing with another equation $A(x^2+4x)=13$

we get that 10 takes the place of A

which implies value of A = 10

I hope this helps you

10x^2+40=13

10 (x^2+4)=13

A=10

What is the ratio of beaks to wings in a flock of birds

Answers

Answer:

The ratio of beaks to wings in a flock of birds is 1:2.

Step-by-step explanation:

Consider the provided information.

Beaks are the hand and pointed structure that sticks out from a bird's face.

The number of beaks of a bird is one and the number of wings is two.

We need to find the ratio of beaks to wings in a flock of birds

$(beaks)/(wings) =(1)/(2)$

Thus the ratio of beaks to wings in a flock of birds is 1:2.

This shows that there's one beak for each pair of wings.

the ratio of beaks to wings in a flock of birds is 1:2

1. Write an algebraic expression for the word phrase ; the quotient of r and 12. A. r .12
B. r*12
C. r - 12
D r + 12

Answers

r ÷ 12 or r/12

Further explanation

Given the word phrase: the quotient of r and 12.

An algebraic expression for it is $\boxed{ \ r / 12 \ or \ r/12 \ or \ (r)/(12) \ }$

Notes:

The quotient is the ratio of two quantities to be divided or the number obtained by division. Synonyms for the quotient are proportion, ratio, or fractions.

An algebraic expression for the quotient of a and b is $\boxed{ \ a / b \ or \ a/b \ or \ (a)/(b) \ }$

'a' is called a dividend
'b' is called a divider
The quotient is the result derived after dividing the dividend by the divisor.

The quotient, a dividend, and a divisor represent the fundamental components of a division equation.

Another example:

A car requires 10 liters of fuel to travel 60 km. Determine the quotient of the distance of the car with fuel (in km/L).

The quotient (or ratio) is

$\boxed{ \ the \ distance / fuel \ consumption \ }$

$\boxed{ \ 60 \ km / 10 \ L \ }$

$\boxed{\boxed{ \ 6 \ km/L \ }}$

Consider the same method as follows.

$\boxed{ \ (the \ distance)/(fuel \ consumption) \ }$

$\boxed{ \ (60 \ km)/(10 \ L) \ }$

$\boxed{\boxed{ \ 6 \ (km)/(L) \ }}$

This means that the car can travel a distance of 6 km for every 1 L of fuel.

Kilometers per liter is a unit used to measure fuel economy and we see this as one example of the use of the quotient (or ratio).

Learn more

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Keywords: write an algebraic expression, for the word phrase, the quotient of r and 12, a dividend, a divisor, components of a division equation

A research firm wants to compute an interval estimate with 90% confidence for the mean time to complete an employment test. Assuming a population standard deviation of three hours, what is the required sample size if the error should be less than a half hour?

Answers

Answer:

n=97

Step-by-step explanation:

1) Notation and definitions

$\sigma=3$ population standard deviation known

Confidence=90% or 0.9

n sample size required (variable of interest)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The sample mean have the following distribution

$\bar X \sim N(\mu, (\sigma)/(√(n)))$

2) Calculation for the sample size required

In order to find the critical value we need to take in count that we are finding the interval for the mean with the population deviation known, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: