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3 years ago

Multiply and simplify: (4b - 3)(2b + 1)

Mathematics

1 answer:

xxMikexx [17]3 years ago

4 0

The answer is b= (-0.5 , 0.75)

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Rachel is driving to visit her mother, who lives 250 miles away. How long will the

ivann1987 [24]

Answer:

Time for a round trip = 12.5 hours

Step-by-step explanation:

Mother's house = 250 miles

Total distance for the round trip = 250 + 250 = 500 miles

Given speed = 40 mph

Find time .

$Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours$

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3 years ago

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You have been given the following data set: 10,12,14,13,13,13,11,12,14,12. For the given data set: which is the more effective m

Ksenya-84 [330]

Answer:

The more effective way for this data set is the mean.

Step-by-step explanation:

The median required arranging the numbers in an descending-to-ascending order, and it is also preferred if the quantity of the numbers to be an odd number.

In this case, we have repeated numbers, and the quantity is even, which makes finding the median difficult.

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3 years ago

Which of the following possibilities will form a triangle? (1 point)

kotykmax [81]

Answer:

Side = 12 cm, side = 5 cm, side = 8 cm

Step-by-step explanation:

a+c>b

a+b>c

c+b>a

To make all these statements true, the only set of number which works is 12, 5 and 8

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3 years ago

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If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce

zhenek [66]

Answer:

$28,000

Step-by-step explanation:

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3 years ago

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Hello, help me please)

AlladinOne [14]

Answer:

Given equation:

$10^{5x-2}=2^{8x-3}$

Take natural logs of both sides:

$\implies \ln 10^{5x-2}= \ln 2^{8x-3}$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies (5x-2)\ln 10=(8x-3) \ln 2$

Expand brackets:

$\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2$

Collect like terms:

$\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2$

Factor left sides:

$\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3$

$\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay$

$\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)$

Simplify:

$\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)$

$\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}$

$\implies x=0.4232297737...$

6 0

2 years ago