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2 years ago

11

(8x-4)+(17x-23)+(3x+17)=180

1 answer:

12345 [234]2 years ago

7 0

Answer:

b

Step-by-step explanation:

b

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If f(1) = 10 and f(n) = f(n = 1) – 4 then find the value of f(5).

svetoff [14.1K]

Given:

$f(1)=10$ and $f(n)=f(n-1)-4$ .

To find:

The value of f(5).

Solution:

We have,

$f(n)=f(n-1)-4$

For $n=2$ ,

$f(2)=f(2-1)-4$

$f(2)=f(1)-4$

$f(2)=10-4$

$f(2)=6$

For $n=3$ ,

$f(3)=f(3-1)-4$

$f(3)=f(2)-4$

$f(3)=6-4$

$f(3)=2$

For $n=4$ ,

$f(4)=f(4-1)-4$

$f(4)=f(3)-4$

$f(4)=2-4$

$f(4)=-2$

For $n=5$ ,

$f(5)=f(5-1)-4$

$f(5)=f(4)-4$

$f(5)=-2-4$

$f(5)=-6$

Therefore, the value of $f(5)$ is $-6$ .

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3 years ago

The price of a pair of pants is $29.95 and the sales tax is 5%.

kupik [55]

$30. The tax is 5 cents.

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2 years ago

How do you expand 6(x + 3y + 2z)

Nadusha1986 [10]

6x+18y+12z

Hope this helps!

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3 years ago

When the shaded region below is rotated about the x-axis the resulting solid is a circular cone with radius 2 m and height 3 m.

WARRIOR [948]

Answer:

Therefore, the volume of the cone is V=4π.

Step-by-step explanation:

From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.

We have the formula:

$\boxed{V=\int_0^h\pi \cdot \left(\frac{r}{h}x\right)^2\, dx}$

We know that r=2 and h=3, and we get:

$V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi$

Therefore, the volume of the cone is V=4π.

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3 years ago

Sonia used $12.50 to buy a new journal. She has $34.25 left in her savings account. How much money did Sonia have before she bou

natali 33 [55]

X-12.50=34.25

Add 12.50 to both sides
X=46.75

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3 years ago

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