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3 years ago

6

The female lion at a zoo weights 190 pounds more than female cheetah.Let c represent the weight in pounds of the cheetah.Wright

an expression that gives the weight in pounds of the lion

1 answer:

garri49 [273]3 years ago

6 0

Answer:

c + 190 = Weight of the lion

Step-by-step explanation:

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John needs 150 feet of rope to section off part of his barn. At a local hardware store he can buy a 30 yard spool for $24 or he

Sphinxa [80]

Answer:

30 yards for 24 vs 1 foot for 25 cents

so lets multiple the yards by 3 to see how many feet

90 feet = 30 yards

90 feet 24 dollars

now lets divide 90 by 24

3.75 so 3.75 per foot

so the second one is way better

Hope This Helps!!!

7 0

2 years ago

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Find the taylor polynomial t3(x) for the function f centered at the number

inysia [295]

Answer:

$t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3$

Step-by-step explanation:

We are given that

$f(x)=7tan^{-1}(x)$

a=1

$T_n(x)=\sum_{r=0}^{n}\frac{f^r(a)(x-a)^r}{r!}$

Substitute n=3 and a=1

$t_3(x)=f(1)+f'(1)(x-1)+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}$

$f(x)=7tan^{-1}(x)$

$f(1)=7tan^{-1}(1)=7\times \frac{\pi}{4}=\frac{7\pi}{4}$

Where $tan^{-1}(1)=\frac{\pi}{4}$

$f'(x)=\frac{7}{1+x^2}$

Using the formula

$\frac{d(tan^{-1}(x))}{dx}=\frac{1}{1+x^2}$

$f'(1)=\frac{7}{2}$

$f''(x)=\frac{-14x}{(1+x^2)^2}$

$f''(1)=-\frac{7}{2}$

$f''(x)=-14x(x^2+1)^{-2}$

$f'''(x)=-14((x^2+1)^{-2}-4x^2(x^2+1)^{-3}})$

By using the formula

$(uv)'=u'v+v'u$

$f'''(x)=-14(\frac{x^2+1-4x^2}{(1+x^2)^3}$

$f'''(x)=(-14)\frac{-3x^2+1}{(1+x^2)^3}$

$f'''(1)=-14(\frac{-3(1)+1}{2^3})=\frac{7}{2}$

Substitute the values

$t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{2\times 3\times 2\times 1}(x-1)^3$

$t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3$

7 0

3 years ago

Please help it is math related

soldi70 [24.7K]

Answer:

The slope is 3/8!

Explanation:

You put your equation in slope-intercept form, that is how you find the slope.

3x-8y=-20

-8y=-3x-20

y=3/8x-20

the fraction is now positive because the numerator and the denominator are both negative so they are changed into positive.

Hope This Helps!

4 0

2 years ago

Answer Choices:

tatiyna

Answer:

positive infinity bc it is going up

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3 years ago

In the diagrams below, ABC is similar to RST. Use a proportion with sides AB and RS to find the scale factor of ABC to RST. Show

kicyunya [14]

Answer:

The scale factor of triangle ABC to triangle RST is 1/3

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

To find the scale factor divide the length side of the image (reduced triangle) by the corresponding length side of the pre-image (original triangle)

$z=\frac{RS}{AB}$

substitute the values

$z=\frac{6}{18}$

simplify

$z=\frac{1}{3}$

The scale factor is less than 1

so

Is a reduction

5 0

3 years ago

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