MATHEMATICS HIGH SCHOOL

Chang 0.83 into a fraction

Answers

Answer 1
Answer:

answer: 83/100

there you go!!!!

Hope it helps

Create a “fraction” with 0.83 in the numerator and 1.0 in the denominator:

0.83/1.0

Move the decimal point in 0.83 two places to the right to turn it into a whole number; move the decimal point in the denominator the same number of places. Do this one decimal place at a time:

0.83/1.0=8.3/10.0=83/100

At this point, you can drop the decimal points and trailing zeros in both the numerator and denominator.

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Find zero of the poylnomial p(x)=x-4

How would you find the zero of f (x)=16x^4 - 9x^2

Answers

f (x) = 16x ^ 4 - 9x ^ 2 \n \n16x ^ 4 - 9x ^ 2=0\n \nx^2(16x^2-9)=0 \n \nx^2 =0 \ \ or \ \ 16x^2-9=0\n \n x=0 \ \ or \ \ (4x-3)(4x+3)=0\n \n x=0 \ \ or \ \ 4x-3=0 \ \ or \ \ 4x+3 =0\n \nx=0 \ \ or \ \ 4x=3 \ \ / :4 \ \ or \ \ 4x=-3\ \ / :4 \n \n x=0 \ \ or \ \ x=(3)/(4) \ \ or \ \ x=-(3)/(4)
f(x)=16x^4-9x^2\n\nf(x)=0\iff16x^4-9x^2=0\n\nx^2(16x^2-9)=0\iff x^2=0\ \vee\ 16x^2-9=0\n\nx=0\ \vee\ 16x^2=9\n\nx=0\ \vee\ x^2=(9)/(16)\n\nx=0\ \vee\ x=-\sqrt(9)/(16)\ \vee\ x=\sqrt(9)/(16)\n\nx=0\ \vee\ x=-(3)/(4)\ \vee\ x=(3)/(4)

What is the factor of 16^2-81

Answers

this is the diffiarence of two perfect squares. this should be memorised, but if not here it is

a^2-b^2=(a-b)(a+b)
so 16^2-81=16^2-9^2
so the answer is (16-9)(16+9)

If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .

Answers

Answer:

(-√(65) - 3 )/(4), (√(65) + 3)/(4)

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: x = (-b +/-√(b^2 - 4ac) )/(2a)

Plug in a for 2, b for 3, and c for -7 and you should find your roots.

One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together? 4 min 5 min 6 min

Answers

A can do 1 job in 10 min. means 1/10 job per min.
B can do 1/15 job per min.

together A&B can do 1/10+1/15 =1/6 job per min.

1/6 job they spend 1 min
1 spend 1x1/(1/6) = 6 min

Final answer:

The first person completes a job in 10 minutes and the second person completes the same job in 15 minutes. When they work together, they can do the job in 6 minutes.

Explanation:

This question pertains to the concept of rate of work. Work rate is generally described as the amount of work done per unit time. The first person completes the job in ten minutes, so their work rate is 1 job per 10 minutes. The second person completes in fifteen minutes, so their work rate is 1 job per 15 minutes.

When they work together, their rates of work add up. Therefore, the rate at which they complete the work together is (1 job/10 minutes) + (1 job/15 minutes).

Convert these rates to a common denominator (30) to simplify the calculation: (30 jobs/300 minutes)+(20 jobs/300 minutes) equals 50 jobs/300 minutes.

Therefore, together, they can do 50 jobs in 300 minutes. Hence, to do 1 job, they will need 300 minutes / 50 = 6 minutes.

Learn more about Rate of Work here:

brainly.com/question/32225531

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Three vertices of square WXYZ are W(1, 4), X(4, 0), and Y(0, –3). What are the coordinates of the fourth vertex?

Answers

Hello,

Z=(-3,1)
============

1. Refer to the triangle below. If a = 3 and b = 6, A. Find the exact length of c in unsimplified radical form B. Find the exact length of c in simplified radical form C. Find c to the nearest hundredth

Answers

I'm assuming that the triangle is a right triangle wherein the Pythagorean theorem is applicable.

a² + b² = c²

c = √a²+b²
c = √3² + 6² 
c = √9 + 36
c = √45   unsimplified radical form
c = √9 * 5 
c = 3 √5  simplified radical form
c = 3 * 2.24
c = 6.71 value of c to the nearest hundredth
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