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3 years ago

Find the distance between points P(8,1) and Q(1,6) to the nearest tenth

Mathematics

1 answer:

Ronch [10]3 years ago

5 0

1 - 8 = - 7
6 - 1 = 5

Let us use the Pythagorean theorem:

c^2 = (-7)^2 + 5^2 = 49 + 25 = 74 -> c = 8.6

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Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

Given:

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

Use the Power Rule Law:

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

Use the Quotient Rule Law:

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

Use the Product Rule Law:

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

Simplify:

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

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2 years ago

Which arrangement for these numbers is from least to greatest?

laiz [17]

Answer: D) -5/6 < -3/5 < -4/7 < -4/9

Step-by-step explanation:

Since putting fractions from least to greatest by using negatives the number or fraction has to be closed to 0. -5/6 is the farthest from 0 so it'll be the least -4/9 is closes to 0 so -4/9 is the most.

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3 years ago

Please helppp 15 pointsss What is the y-coordinate of the solution for the system of equations?

Lina20 [59]

y = 3x - 1

x - y = -9

Subs y in second equation.

x - (3x - 1) = -9

x - 3x + 1 = -9

-2x = -9 - 1

-2x = -10

x = -10/-2

x = 5

Subs x

y = 3x - 1

y = 3.5 - 1

y = 15 - 1

y = 14

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3 years ago

The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of

mrs_skeptik [129]

Answer:

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

The minimum daily balance on which it should be willing to pay interest is $1,198.

Step-by-step explanation:

We have a normal distribution with mean = $800 and standard deviation = $150.

a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.

$z_1=\frac{x-\mu}{\sigma} =\frac{700-800}{150}= \frac{-100}{150} =-0.67\\\\\\z_2=\frac{1,000-800}{150}=\frac{200}{150}=1.33\\\\\\P(700$

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

b) We must calculate from what amount only 6% of the accounts remain.

This is done by solving:

$P(z>x)=0.06$

This happens for a z-value of z=2.652.

This corresponds to a amount of $1,198.

$x=\mu+z*\sigma=800+2.652*150=800+398=1,198$

The minimum daily balance on which it should be willing to pay interest is $1,198.

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4 years ago

PLLLEAASE HELLPfghjkjhgfdfghjk

vodka [1.7K]

Since AB and BC are congruent, ABE is equivalent to CBE. ABE+CBE=ABC. So the answer would be 80 degrees.

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3 years ago