3 years ago

Which equation is equivalent to Y — 3 = 4 (X—5)

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

Answer:

Last one :)

Step-by-step explanation:

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Find the 8th term of the geometric sequence, given the first term and common ratio. a1=6 r=-1/3

Damm [24]

The rule of a geometric sequence:

$a_n=a_1r^{n-1}$

We have:

$a_1=6;\ r=-\dfrac{1}{3}$

Find $a_8=?\to n=8$

substitute:

$a_8=6\cdot\left(-\dfrac{1}{3}\right)^{8-1}=6\cdot\left(-\dfrac{1}{3}\right)^7=6\cdot\left(-\dfrac{1}{2187}\right)=-\dfrac{2}{729}$

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3 years ago

A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches?

Vinvika [58]

Answer:

The exact value of the volume is equal to

$V=19\frac{397}{512}\pi\ in^{3}$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$D=5\frac{5}{8}\ in$

convert to an improper fraction

$D=5\frac{5}{8}\ in=\frac{5*8+5}{8}=\frac{45}{8}\ in$

$r=(45/8)/2=\frac{45}{16}\ in$

$h=7\frac{1}{2}\ in=\frac{7*2+1}{2}=\frac{15}{2}\ in$

substitute in the formula of volume

$V=\frac{1}{3}\pi (\frac{45}{16}^{2})(\frac{15}{2})=\frac{30,375}{1,536}\pi\ in^{3}$

Simplify

$\frac{30,375}{1,536}=\frac{29,184}{1,536}+\frac{1,191}{1,536}=19\frac{397}{512}$

substitute

$V=19\frac{397}{512}\pi\ in^{3}$

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3 years ago

Find the product.<br> (x-2) (x-3)

ivann1987 [24]

Answer:

Expand the polynomial using the FOIL method.

x2-5x+6

Step-by-step explanation:

happy to help.

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3 years ago

Select the correct answer.<br>which function's domain consists of all real numbers except -2?

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

For functions with x in the denominator we want to make sure the denominator isn't 0. If x can't be -2 then the answer is A because x = -2 results in f(x) = 1/0 which is undefined.

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3 years ago

Please help with #19 & #20 really struggling!

SVETLANKA909090 [29]

Answer:

the first one is D and the second one is A

Step-by-step explanation:

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3 years ago