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3 years ago

What is the value of the expression? (-4.2)(2)+10

Mathematics

2 answers:

Crazy boy [7]3 years ago

8 0

-8.4+10 = 10 - 8.4 = 1.6

Murljashka [212]3 years ago

7 0

Start with multiplication:
-4.2 x 2 = -8.4 (it stays negative because there is an odd number of negative numbers (the -4.2) being multiplied)
Then you add the product and 10 left:
-8.5 + 10 = 1.5
1.5 is your answer

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Write the rule for the nth term of the following sequence.

denis-greek [22]

Answer:

$2^{n-3}$ is the nth term of the given sequence.

Step-by-step explanation:

The sequence given is

$\frac{1}{4},\frac{1}{2},1,2,4 .....$

We can clearly see that 1st term is $\frac{1}{4}$ and 2nd term is $\frac{1}{2}$

2nd term is obtained by multiplying the 1st term by 2.

2nd term is $\frac{1}{2}$ and 3rd term is 1.

3rd term is obtained by multiplying the 2nd term by 2.

3rd term is 1 and 4th term is 2.

4th term is obtained by multiplying the 3rd term by 2.

Clearly, the given series is a <em>Geometric Progression(GP)</em> with

First term, $a = \frac{1}{4}$

Common Ratio, $r = 2$

We know that $n^{th}$ term for a GP is:

$a_n = ar^{n-1}$

Putting values of <em>a</em> and <em>r</em>

$a_n = \dfrac{1}{4}2^{n-1}\\a_n = \dfrac{1}{2^{2} }2^{n-1}\\a_n = 2^{n-1-2}\\a_n = 2^{n-3}$

Hence, $2^{n-3}$ is the nth term of the given sequence.

3 0

3 years ago

A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she

olga_2 [115]

The inequality that describes the calories burned is 7x + 9y ≥ 441

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

let x represent the number of minutes of running and y represent the number of minutes of swimming, hence:

7x + 9y ≥ 441

The inequality that describes the calories burned is 7x + 9y ≥ 441

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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1 year ago

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
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\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

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4 years ago