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2 years ago

9

What is the unit rate for the comparison for 376 words in 8 minutes.

1 answer:

HACTEHA [7]2 years ago

3 0

Answer:

47 words per min

Step-by-step explanation:

376/8=47

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2 years ago

the ratio of red cars to blue cars in a parking lot was 5 : 3. if there were 40 cars, how much blue cars were there

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2 years ago

How many triangles can you draw with side lengths 2cm, 3cm, and 8cm?

serg [7]

Answer: 1 /How: 2x3x8=_ when u get tha answer u do 2+3+8=180 which would come to one.

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3 years ago

Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)

borishaifa [10]

Answer:

Since,

$\frac{d}{dx}x^n = nx^{n-1}$

$\frac{d}{dx}(f(x).g(x)) = f(x).\frac{d}{dx}(g(x)) + g(x).\frac{d}{dx}(f(x))$

$\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x).f'(x) - f(x) g'(x)}{(g(x))^2}$

1) $y = 8x e^x$

Differentiating with respect to x,

$\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)$

2) $y = 5x e^{x^4}$

Differentiating w. r. t x,

$\frac{dy}{dx}=5(x\times 4x^3 e^{x^4}+e^{x^4})=5e^{x^4}(4x^4+1)$

3) $y = x^8 + \frac{5}{x^4}$

Differentiating w. r. t. x,

$\frac{dy}{dx}=8x^7 - \frac{5}{x^5}\times 4 = 8x^7 - \frac{20}{x^5}=\frac{8x^{12}-20}{x^5}$

4) $f(t) = te^{11}-6t^5$

Differentiating w. r. t. t,

$f'(t) = e^{11} - 30t^4$

5) $g(p) = p\ln(2p+3)$

Differentiating w. r. t. p,

$g'(p) = p\frac{1}{2p+3}(2) + \ln(2p+3) = \frac{2p}{2p+3}+\ln(2p+3)$

6) $z = (te^{6t}+e^{5t})^7$

Differentiating w. r. t. t,

$\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})$

7) $w =\frac{2y + y^2}{7+y}$

Differentiating w. r. t. y,

$\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}$

7 0

3 years ago

A sequence is defined by the recursive formula f(n+1)=f(n)-2. If f(1)=18, what is f(5)?

N76 [4]

Answer:

$f(5)=10$

Step-by-step explanation:

A sequence is defined by the recursive formula $f(n+1)=f(n)-2$

If $f(1)=18,$ then

for $n=1: f(2)=f(1+1)=f(1)-2=18-2=16$

for $n=2: f(3)=f(2+1)=f(2)-2=16-2=14$

for $n=3: f(4)=f(3+1)=f(3)-2=14-2=12$

for $n=4: f(5)=f(4+1)=f(4)-2=12-2=10$

7 0

2 years ago

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