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3 years ago

Which logarithmic equation is equivalent to 8^2 = 64?

Mathematics

1 answer:

Hitman42 [59]3 years ago

4 0

Answer

log8(62)=2

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base (8) on the right side (64) equals the exponent (2)

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ValentinkaMS [17]

Answer:

-6 (6) ^3 - 6

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Step-by-step explanation:

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3 years ago

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Graph the relation. Is the relation a function? Why or why not? {(-5, 6), (-2, 3), (3, 2), (6, 4)}

Rainbow [258]

It is a function, because it has the shape of an x^2 function.

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3 years ago

Write systems of equations from context Lincoln is preparing many gifts for a family holiday party each gift must either be wrap

Angelina_Jolie [31]

Answer:

w + b = 13
6.5w + 2b = 57.5

Step-by-step explanation:

Let w represent the number of gifts wrapped. Let b represent the number of bags prepared.

w + b = 13 . . . . gift bags and gifts wrapped

6.5w +2b = 57.5 . . . . total time spent preparing gifts

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3 years ago

Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.

givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

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

we have

$r=4/2=2\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{33.49}= 119\ cups$

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

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

we have

$r=8/2=4\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{133.97}= 30\ cups$

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3 years ago

Find the coordinates of the intersection of the diagonals of parallelogram QRST with vertices Q(−8, 1), R(2, 1), S(4,−3), and T(

FinnZ [79.3K]

Answer:

(-2,1)

Step-by-step explanation:

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3 years ago