MATHEMATICS HIGH SCHOOL

What is the common ratio for the geometric sequence below, written as a fraction?768, 480, 300, 187.5, …

Answers

Answer 1

Answer: common ratio = second term/first term = 480/768 = 5/8.

Answer 2

Answer:

Answer:

5/8 on E2020

Step-by-step explanation:

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Which two statements contradict each other? I. Triangle ABC is equiangular
II. Triangle ABC is obtuse
III. Triangle ABC is acute

Answers

II. Triangle ABC is obtuse and III. Triangle ABC is acute, because acute is less than 180° and obtuse is between 180° and 270°

Convert the polynomial equation y=(x+2)(x-6)(x+7) from factored form to general form

Answers

y = (x+2)(x-6)(x+7)

(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12

(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84

y = x^3 + 3x^2 - 40x - 84

$y = (x + 2) (x -6) (x + 7) \n \n i.e, y = (x+2) (x^2 - x - 42) \n\n => y = x^3 + 3x^2 - 40x - 84$

Evaluate 8+p28-\dfrac {m}{n}+p^2

8−

n

m

+p

2

8, minus, start fraction, m, divided by, n, end fraction, plus, p, squared

when

m=8m=8

m=8

m, equals, 8

,

n=2n=2

n=2

n, equals, 2

,

p=7p=7

p=7

p, equals, 7

.
I've coded this question, try and answer for brainliest.

Answers

Answer:

Step-by-step explanation:

The expression is ;

8- (m/n) + p2

8- (8/2) +(7)square

8 -4 +49=53

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.Short = 7

Hypotenuse =

Answers

Answer:

Length of the hypotenuse is 14 units.

Step-by-step explanation:

30°-60°-90° Right triangle-

The length of the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

The length of the longer leg, which is across from the 60 degree angle, is the product of length of the shorter leg and √3.

As here the length of short leg is given 7, so length of the hypotenuse is $2* 7=14$

Answer:

14 units.

correct me if im wrong ;)

What is the diagonal of a rectangle with length 48 inches and width 40 inches?

Answers

Use the Pythagorean Theorem: $a^2 + b^2 = c^2$
You can do this because when you cut the rectangle in half with the diagonal, it forms a right triangle, making the diagonal the hypotenuse (c).

$40^2 + 48^2 = c^2$

$1600 + 2304 = c^2$

$3904 = c^2$

$√(3904) = √(c^2)$

$62.48 = c$

Diagonal: 62.48 inches

i think its D=w2+l2=402+482≈ 62.482in

Can 24 7ths be equal to another fraction or be simplified in another way

Answers

To check if an improper fraction like like 24/7 can still be simplified, you have to find similar factors that can divide both the numerator (24) and the denominator (7). However in this case, there are no longer any common factors that can divide both of them. However, improper fractions can be represented in a mixed fraction form.

A mixed fraction is made up of a whole number and a fraction. To change an improper fraction to a mixed fraction, divide the numerator by the denominator. The quotient should be a whole number and a remainder. The whole number in the quotient would be the whole number in the mixed fraction, and the remainder would be the numerator.

In the case of 24/7, dividing it would yield us 3 remainder 3. Therefore, the mixed fraction would be:

3 3/7

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A two-way frequency table is shown below that displays the relationship between age and preferred soft drink. We took a sample of 100 people and recorded the following results:Cola Rootbeer Dr. Fizz Total 10–25 years 10 5 20 35 26–40 years 15 10 10 35 41–55 years 20 10 0 30 Total 45 25 30 100 What is the probability (rounded to the nearest whole percent) that a randomly selected person is 10 to 25 years old or prefers drinking rootbeer? 60% 55% 10% 5%

A light bulb manufacturer randomly tests 1500 bulbs and finds that 2 are defective. How many defective bulbs would be expected in a shipment of 24,000 bulbs?A.32B.48C.120D.750

Given that5x:8 = 7:2Calculate the value of x.

13.What is the circumference of a circle whose area is 16 pi?A. 64 piB. 32 piC. 8 piD. 4 pi