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2 years ago

If Mark got 6 questions out of 40 incorrect,what percent of the questions did he get correct?

Mathematics

2 answers:

tia_tia [17]2 years ago

8 0

6/40 simplified is 3/20
3/20=15/100
100-15=85
The answer is 85%

Bess [88]2 years ago

4 0

Subtract the number wrong from the total number of questions.

40-6=34

Then divide the number correct by the total number of questions.

34/40= 0.85

Which is 85 %

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Find the 12th term of the sequence -15,-9,-3, 3

Reika [66]

First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
= -15 + 11×6
= -15+66
= 51

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3 years ago

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Keith_Richards [23]

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2 years ago

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Troyanec [42]

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2 years ago

Let θ

konstantin123 [22]

Answer:

θ is decreasing at the rate of $\frac{21}{16}$ units/sec

or $\frac{d}{dt}$ (θ) = $\frac{-21}{16}$

Step-by-step explanation:

Given :

Length of side opposite to angle θ is y

Length of side adjacent to angle θ is x

θ is part of a right angle triangle

At this instant,

x = 8 , $\frac{dx}{dt}$ = 7

( $\frac{dx}{dt}$ denotes the rate of change of x with respect to time)

y = 8 , $\frac{dy}{dt}$ = -14

( The negative sign denotes the decreasing rate of change )

Here because it is a right angle triangle,

tanθ = $\frac{y}{x}$ -------------------------------------------------------------------1

At this instant,

tanθ = $\frac{8}{8}$ = 1

Therefore θ = π/4

We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or $\frac{d}{dt}$ (θ)

$\frac{d}{dt}$ (tanθ) = $\frac{d}{dt}$ (y/x)

( Applying chain rule of differentiation for R.H.S as y*1/x)

$sec^{2}$ θ $\frac{d}{dt}$ (θ) = $\frac{1}{x}$ $\frac{dy}{dt}$ - $\frac{y}{x*x}$ $\frac{dx}{dt}$ -----------------------2

Substituting the values of x , y , $\frac{dx}{dt}$ , $\frac{dy}{dt}$ , θ at that instant in equation (2)

2 $\frac{d}{dt}$ (θ) = $\frac{1}{8}$ *(-14)- $\frac{8}{8*8}$ *7

$\frac{d}{dt}$ (θ) = $\frac{-21}{16}$

Therefore θ is decreasing at the rate of $\frac{21}{16}$ units/sec

or $\frac{d}{dt}$ (θ) = $\frac{-21}{16}$

3 0

3 years ago

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11Alexandr11 [23.1K]

Answer:

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Step-by-step explanation:

To find the slope-intercept form ( = mx + b) you need to rearrange the equation of the line:

Step 1 - Add 18x to both sides

15y = 18x - 30

Step 2 - Divide both sides by 15.

y = 6/5x - 2

4 0

2 years ago