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lana [24]
3 years ago
10

Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can she paint in a full hour

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0
6/7 divide by 3/14
Divide = multiply reciprocal
6/7 * 14/3 = 84/21 = 4
She can paint 4 pictures in a full hour
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The Sullivan household wants build a patio deck in the shape of a 45-45-90 triangle in a nice corner section of their backyard .
dedylja [7]

Answer:

20√2=28.2842....

Step-by-step explanation:

special right traingles

a 45-45-90 states that the legs are congruent and the hypotenuse is leg√2

4 0
3 years ago
If the local linear approximation of f(x) = 2cos x + e^2x at x = 2 is used to find the approximation for f(2.1), then the % erro
yKpoI14uk [10]

<u>Answer-</u>

The % error of this approximation is 1.64%

<u>Solution-</u>

Here,

\Rightarrow f(x) = 2\cos x + e^{2x}

\Rightarrow f'(x) = -2\sin x + 2e^{2x}

And,

\Rightarrow f(2) = 2\cos 2 + e^{4}

\Rightarrow f'(2) = -2\sin 2 + 2e^{4}

Taking (2, f(2)) as a point and slope as, f'(2), the function would be,

\Rightarrow y-y_1=m(x-x_1)

\Rightarrow y-(2\cos 2 + e^{4})=(-2\sin 2 + 2e^{4})(x-2)

\Rightarrow y=(-2\sin 2 + 2e^{4})(x-2)+(2\cos 2 + e^{4})

The value of f(2.1) will be

\Rightarrow y=(-2\sin 2 + 2e^{4})(2.1-2)+(2\cos 2 + e^{4})

\Rightarrow y=(-2\sin 2 + 2e^{4})(0.1)+(2\cos 2 + e^{4})

\Rightarrow y=64.5946

According to given function, f(2.1) will be,

\Rightarrow f(2.1) = 2\cos 2.1 + e^{2(2.1)}

\Rightarrow f(2.1) = 65.6766

\therefore \%\ error=\dfrac{65.6766-64.5946}{65.6766}=0.0164=1.64\%

5 0
3 years ago
Plz help me to find the empty spaces in these:)
Reil [10]

Answer:

#2: y-intercept=-2

Bottom left graph: Slope:4/2

y-intercept:-2

Equation: y=4/2x-2

Bottom right graph: Slope:-2

y-intercept:8

Equation: y=-2x+8

5 0
3 years ago
QF Q7.) Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions
Softa [21]
Attached is the solution.
The following log properties are used:
log(x^n) = nlog(x)
log(\frac{a}{b}) = log(a) - log(b) \\  \\ log(ab) = log(a) + log(b) \\  \\ log_9 (81) = 2 \rightarrow 9^2 = 81



5 0
3 years ago
Read 2 more answers
Solve this please <br><br> log(4x+16)=2
lapo4ka [179]

Answer:

X = -3.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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