Ask question

Ask question

All categories

2 years ago

4

Consider the equation − 2 ⋅ 1 0 4 x = − 300 −2⋅10 4x =−300minus, 2, dot, 10, start superscript, 4, x, end superscript, equals, m

inus, 300. Solve the equation for x xx. Express the solution as a logarithm in base- 10 1010. x = x=x, equals

1 answer:

LiRa [457]2 years ago

8 0

Answer:

x = log150/log10000

Step-by-step explanation:

Given the equation -2.10^4x = -300

To express x as a log to base 10:

Step 1;

Divide both sides by -2

-2.10^4x = -300

10^4x = -300/-2

10^4x = 150

Step 2:

Taking log of both sides

log 10^4x = log 150

4x = log 150

x = log150/4

x = log150/log10000

You might be interested in

Ariel incorrectly says that 2 5/8 is the same as 2.58

Nata [24]

Answer:

ariel is incorrect because 2 5/8 is equal to 2.63

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that

marissa [1.9K]

Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%

Step-by-step explanation:

Step 1

Time as recorded by the stopwatch = 4.82 seconds

Real Time it takes for a Frisbee to fly through the air =5.05 seconds

percent error = Measured value – True Value /True value x 100.

= 4.82 - 5.05 / 5.05 x 100

=-0.23/5.05

=-0.0455 x 100

=4.5544%

Rounding to nearest 10th of a percent = - 4.6%

8 0

2 years ago

which geometric series represents 0.4444... as a fraction? a) 1/4, 1/40, 1/400, 1/4,000 b) 1/40, 1/400, 1/4,000, 1/40,000 c) 4/1

xenn [34]

Answer: $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

Step-by-step explanation:

The given geometric series are:

a) $\frac{1}{4}+\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}$

on simplifying in decimals, we get

$0.25+0.025+0.0025+0.00025=0.27775\neq0.4444$

b) $\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}+\frac{1}{40,000}$

on simplifying in decimals, we get

$0.025+0.0025+0.00025+0.000025=0.027775\neq0.4444$

c) $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

on simplifying in decimals, we get

$0.4+0.04+0.004+0.0004=0.4444$

Thus, this geometric series represent 0.4444.

d) $\frac{1}{10}+\frac{1}{100}+\frac{1}{1,000}+\frac{1}{10,000}$

on simplifying in decimals, we get

$0.1+0.01+0.001+0.0001=0.1111\ \neq0.4444$

7 0

2 years ago

Read 2 more answers

The sport of korfball is played by teams of eight players. Each team has fourmen and four women on it. Halliday High School has

Alex Ar [27]

Answer:

There are 11550 possible selections

Step-by-step explanation:

Given

$Men = 7$

$Women = 11$

Required

How many ways can 4 men and 4 women be selected

The keyword in the question is SELECTION and it means COMBINATION;

So, number of selection is:

$Number = Men * Women$

$Number = ^7C_4 * ^{11}C_4$

This gives

$Number = \frac{7!}{(7-4)!4!} * \frac{11!}{(11-4)!4!}$

$Number = \frac{7!}{3!4!} * \frac{11!}{7!4!}$

$Number = \frac{7 * 6 * 5 * 4!}{3!4!} * \frac{11 * 10 * 9 * 8 * 7!}{7!4!}$

$Number = \frac{7 * 6 * 5}{3!} * \frac{11 * 10 * 9 * 8}{4!}$

$Number = \frac{7 * 6 * 5}{3 * 2 * 1} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}$

$Number = \frac{7 * 6 * 5}{6} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}$

$Number = 7 * 5 * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}$

$Number = 7 * 5 * \frac{7920}{24}$

$Number = 7 * 5 * 330$

$Number = 11550$

Hence;

<em>There are 11550 possible selections</em>

6 0

2 years ago

A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that

olganol [36]

The volume of the removed portion is 35 cm³.

Step-by-step explanation:

Given,

The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm

The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm

To find the volume of the removed portion.

Formula

The volume of the removed portion = volume of outer part - volume of inner part

Volume of rectangular prism = l×b×h

Now,

Volume of outer part = 3×3×7 cm³ = 63 cm³

Volume of inner part = 2×2×7 cm³ = 28 cm³

Hence,

The volume of the removed portion = 63-28 cm³ = 35 cm³

4 0

2 years ago

Read 2 more answers