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3 years ago

20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5 What is the value of logb(a5c2/d6)?

Mathematics

1 answer:

mariarad [96]3 years ago

4 0

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y - logz

logb ( a^5) +logb ( c^2) - logb( d^6)

We also know that log x^y = y log x

5logb ( a) +2logb ( c) - 6 logb( d)

Given logb ( a)=3 logb ( c) =2 logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

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2k^2-5k-18=0 what is both of the values of k? plz help!!! 15 pts!!!

ddd [48]

To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.

jk=ac and j+k=b

The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...

2k^2-5k-18=0

2k^2+4k-9k-18=0

2k(k+2)-9(k+2)=0

(2k-9)(k+2)=0

so k=-2 and 9/2

k=(-2, 4.5)

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3 years ago

Reduce to simplest form negative 7/8 minus (negative 5/6)

Verdich [7]

Answer:

(-21/24) - (-20/24) = -1/24

Simplest Form of the Equation

(-7/8) - (-5/6) = 0.04166666666

8x6= 48,

-7x6=-42

6x8= 48,

-5x8=40

(-42/48) - (-40/48)

Divide both sides by 2

(-21/24) - (-20/24) = -1/24

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3 years ago

PLS HELPP I WILL MARK BRAINLIEST!!

Tpy6a [65]

The answer is 2 first you add then multiple

8 0

3 years ago

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HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu

VikaD [51]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

= 100 + 480

= 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

= 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

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2 years ago

Which is the volume formula for a rectangular prism with a base of 26 square feet and a height of 10 feet

AleksAgata [21]

Answer:

Step-by-step explanation:

Given the length, width and height find the volume, surface area and diagonal of a rectangular prism

h, l and w are known; find V, S and d

V = lwh

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism

S, l and w are known; find h, V and d

h = (S - 2lw) / (2l + 2w)

V = lwh

d = √(l2 + w2 + h2)

3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism

V, l and w are known; find h, S and d

h = V / lw

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism

d, l and w are known; find h, V and S

h = √(d2 - l2 - w2)

V = lwh

S = 2(lw + lh + wh)

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3 years ago

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