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2 years ago

The ages of Anjali and Aditya are in the ratio 3: 4.Eight years later sum

Mathematics

1 answer:

Maksim231197 [3]2 years ago

8 0

Answer:

12 years and 16 years

Step-by-step explanation:

their ages are in the ratio 3 : 4

let Anjali = 3x and Aditya = 4x ← present ages

In 8 years then

Anjali = 3x + 8 and Aditya = 4x + 8, hence

3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years

7x + 16 = 44 ( subtract 16 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old

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2 years ago

Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69

Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

$0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}$

(we used two facts: first that : $\dfrac{a}{b} = a \times \dfrac{1}{b}$

and second that: $a^{-b}= \dfrac{1}{a^b}$

Thus, the value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

Learn more about scientific notations here:

brainly.com/question/3112062

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2 years ago

What are the zeros of the function f(x)=-x^2+13x-36

Galina-37 [17]

For this case we have the following function:

$f (x) = - x ^ 2 + 13x-36$

To find the zeros of the function we make $y = 0$ and solve for "x", then:

$0 = -x ^ 2 + 13x-36$

We multiply by -1 on both sides of the equation:

$0 = x ^ 2-13x + 36$

We factor the equation, for this we look for two numbers that, when multiplied, result in 36 and when added, result in -13. These numbers are -9 and -4.

$(-9) * (- 4) = 36\\-9-4 = -13$

Thus, the factored equation is:

$(x-9) (x-4) = 0$

Therefore, the roots are:

$x_ {1} = 9\\x_ {2} = 4$

Answer:

$x_ {1} = 9\\x_ {2} = 4$

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3 years ago

1. At a certain company, the human resources department surveyed employee satisfaction. They collected the following data. (a) H

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A] From the graph, there is strong correlation between the satisfaction score and salary, this is implied by the closeness of the points on the graph.
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3 years ago

A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.

SVETLANKA909090 [29]

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

$Slope (m) = \frac{y2-y1}{x2-x1}$

Plugging values in formula, we get

$m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.$

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

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But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

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2 years ago