MATHEMATICS
HIGH SCHOOL

Answer:

Answer:

E = 12

RE = 0.4

Step-by-step explanation:

The estimation error (E) is defined as the absolute value of the difference between the actual value (RV) and the estimated value (EV). With RV = 30 and EV = 42.

E = | EV - RV | = | 42 - 32 | = | 12 | = 12

A complementary concept could be the relative error (RE), which is defined as the ratio between the absolute error and the actual value.

RE = E / RV = 12/30 = 2/5 = 0.4

Answer: Error=estimate-actual

error=42-30=12

if want percent error

percent error=error/original times 100=12/30 times 100=40% error

the error is 12

error=42-30=12

if want percent error

percent error=error/original times 100=12/30 times 100=40% error

the error is 12

MIDDLE SCHOOL

Find the following bases. a. 8% of ? = 20

b. 75% of ? = 30

c. 20% of ? = 45

d. 150% of ? = 36

It is pretty easy.

Answer:

a. 250

b. 40

c. 225

d. 24

Step-by-step explanation:

MIDDLE SCHOOL

What is 49.32 of the 2nd 10 power

The answer is 4932, if I read the question correctly

MIDDLE SCHOOL

Given that α and 2α are the roots of the quadratic equation x² + kx + 18 = 0 find the values of k Hi please help me solve this

Answer:

The values of 'k' are -9 or 9

Step-by-step explanation:

Given:

The quadratic equation is given as:

The roots of the equation are .

Now, we know that, for a quadratic equation of the form

The sum of roots =

Product of roots =

Now, for the given quadratic equation, we have:

Therefore, using the sum of roots, we get:

Now, using product of roots, we get:

Now, plug in the values of in equation (1). This gives,

Hence, the values of 'k' are -9 or 9

HIGH SCHOOL

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B? 4/7

7/8

8/7

7/4

Answer:

7/8

Step-by-step explanation:

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.

WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B

Diameter of sphere B is 42

Radius = diameter /2

Radius = 42/2= 21

Radius of sphere B = 21

RAdius of sphere A times x= radius of sphere B

24 * x= 21

Divide by 24 on both sides

x= 21/ 24

divide top and bottom by 3

x= 7/ 8

Answer: The factor is 7/8

Step-by-step explanation:

Ok, we know that Sphere A as a radius of 24 cm, and sphere B has a diameter of 42 cm.

We want to find the factor which multiplied by the radius of sphere A gives us the radius of sphere B.

First, let's find the radius of sphere B.

We know that Diameter = 2*Radius.

So the radius of sphere B is equal to the diamater divided by 2.

rB = 42cm/2 = 21cm

now, let's find the number x that:

24cm*x = 21cm

x= 21cm/24cm = 21/24

now, we can divide numerator and denominator by the same number, in this case 3, and get:

x = 21/24 = (21/3)/(24/3) = 7/8

x = 7/8

So the factor is x= 7/8, the second option.