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3 years ago

Estimate 58.311+49.35 by first rounding each number to the nearest whole number.

Mathematics

1 answer:

RideAnS [48]3 years ago

7 0

Answer:

≈107

Step-by-step explanation:

58.311 will round <em>down </em>since 0.311 is less than half or 0.5. It will become 58. 49.35 will also round <em>down </em>since 0.35 is less than 0.5. This will be 49. 58+49=107. Since 107 is not the exact answer, you will use the approximately sign, or ≈.

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Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be

Alinara [238K]

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

P(2) is true
P(4) is true
P(6) is true

this simply means that ; P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

P( 0+2 ) = P(2) is true

also P(1) and P(2) are true

we will assume that

P(1+2) = P(3) is true

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

P(2+2) = P(4) is true

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

8 0

3 years ago

a student usually saves $45 a month. He would like to reach a goal of saving $700 in 12 months. The student writes the equation

serg [7]

Answer:

in this case, x is the amount more he needs to save per month

350=12(x+20)

distribute

350=12x+240

minus 240 both sides

110=12x

divide both sides by 12

9.166666=x

needs to save about $9.17 more per month or 29.17 permonth

Step-by-step explanation:

sorry if its wrong i tried and maybe i could get brainliest?

3 0

3 years ago

Read 2 more answers

Find the value of 48 - 32 ÷ 4 · 2

Crazy boy [7]

Answer:

=48-8×2

=48-16

=32

Hope it helps you..

6 0

3 years ago

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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

3 years ago

Given f(x) = 3x+4 . What is f(8)

DerKrebs [107]

If x=8 {f(8)=3x+4}, the answer is 28.

Comment the correct answer.

7 0

3 years ago

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