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Anika [276]
3 years ago
15

Determine the first five multiples for the following number 22

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Lets find

\\ \sf\longmapsto M_n=22n

\\ \sf\longmapsto M_1=22(1)=22

\\ \sf\longmapsto M_2=22(2)=44

\\ \sf\longmapsto M_3=22(3)=66

\\ \sf\longmapsto M_4=22(4)

\\ \sf\longmapsto M_4=88

\\ \sf\longmapsto M_5=22(5)=110

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The rate at which rain accumulates in a bucket is modeled by the function r given by r(t)=10t−t^2, where r(t) is measured in mil
mars1129 [50]

Answer:

36 milliliters of rain.

Step-by-step explanation:

The rate at which rain accumluated in a bucket is given by the function:

r(t)=10t-t^2

Where r(t) is measured in milliliters per minute.

We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.

We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:

\displaystyle \int_0^3r(t)\, dt

Substitute:

=\displaystyle \int_0^3 10t-t^2\, dt

Integrate:

\displaystyle =5t^2-\frac{1}{3}t^3\Big|_0^3

Evaluate:

\displaystyle =(5(3)^2-\frac{1}{3}(3)^3)-(5(0)^2-\frac{1}{3}(0)^3)=36\text{ milliliters}

36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.

4 0
3 years ago
Does the equation represent a linear or nonlinear function? Explain.<br><br> y = x + 5
mrs_skeptik [129]

Answer:

Below.

Step-by-step explanation:

A linear function contains a variable of the first  degree  only - for example f(x) = 2x - 1 or f(z) = 3z.

So y = x + 5 is linear.

7 0
3 years ago
Is 8/5 proportional to 24/15 ?
DiKsa [7]

Hey there!

The answer to your question is, yes, it is

Given:

\frac{8}{5} and \frac{24}{15}

To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:

8*15=24*5

Let's solve it and see if it is true:

8*15=24*5

120=120

Therefore, they <em>are </em>proportional.

<u>Cross products</u>

WORD DEFINITION:

Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.

ALGEBRAIC DEFINITION:

Given two fractions, \frac{a}{b} and \frac{c}{d}, a*d <em>should </em>equal to b*c

Hope it helps, and have a terrificly amazing day!

3 0
3 years ago
All of the following statements about learning are true EXCEPT __
Rasek [7]
Craming last minute can lead to unecessary confusion however most examinars dont allow asking questions during exam

So if asking questions for clarification is allowed. A) is the odd one out

And these options are rather for test taking than learning
3 0
3 years ago
A trapezoid is 14 centimeters high and has bases that measure 13.5 centimeters and 27.5 centimeters. What is the area of the tra
Alexxandr [17]
Hello!

We can find the area of the trapezoid using the formula for area of a trapezoid:

FORMULA: 

A = [(b + b) * h / 2]

SUBSTITUTE: 

A = [(13.5 + 27.5) * 14 / 2]

SOLVE: 

A = 41 * 14 / 2

A = 574 / 2 

A = 287 cm²

So, the area of the trapezoid is 287 cm².


7 0
4 years ago
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