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2 years ago

Determine whether any of the ratios below are proportional. 10/45, 20/90 and 6/27

Mathematics

1 answer:

RoseWind [281]2 years ago

7 0

Answer:

Yes, all three of them are proportional

Step-by-step explanation:

First, let's simplify them all the way:

10/45 = 2/9

20/90 = 2/9

6/27 = 2/9

All three of these ratios simplified down to their simplest form are 2/9, meaning that they are all proportional.

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Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)f(x) =

lyudmila [28]

Answer:

The absolute minimum value is " $-\frac{21}{4}$ " and the absolute maximum value is " $15$ ".

Step-by-step explanation:

Given:

$f(x)=x^2-x-5$

on,

$[0,5]$

By differentiating it, we get

⇒ $f'(x)=2x-1$

Set $f'(x)=0$

then,

⇒ $2x-1=0$

$2x=1$

$x=\frac{1}{2}$ (Critical point)

When x=0,

⇒ $f(x)=-5$

When $x=\frac{1}{2}$ ,

⇒ $f(x)=-\frac{21}{4}$ (Absolute minimum)

When $x=5$

⇒ $f(x)=15$ (Absolute maximum)

7 0

2 years ago

ONLY ANSWER IF YOU KNOW THE ANSWER JUST FOR POINTS. Thank you! :)

Ksivusya [100]

Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.

5 0

3 years ago

Read 2 more answers

How do you find out if a ratio is equivalent

Keith_Richards [23]

One way is to turn them into fractions and simplify them then see if they are equal exg
8:4 and 6:3
turn into fractions
8/4 and 6/3
2/1 and 2/1
equal

7 0

3 years ago

A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. W

ludmilkaskok [199]

Answer:

The probability of selecting both yellow is 5/22.

Step-by-step explanation:

Given the number of yellow marbles = 6

Black marbles = 4

Purple marble = 2

Now find the total number of marbles in the jar.

Thus total marbles = Yellow marbles + Black marbles + Purples marble

Now insert the values in the above formula.

Total marbles = 6 + 4 + 2

Total marbles = 12

The probability of 2 yellow marble:

$= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}$

Thus, the probability of selecting both yellow is 5/22.

3 0

3 years ago

Help me pleaseeeeeeeeeeeeeeeeeee

zaharov [31]

The answer would be 360 square inches.

7 0

2 years ago

Read 2 more answers