What is the value of log subscript 0.5 baseline 16? –4.00 –0.25 1.51 2.41

Answers

Answer 1

Answer:

The correct option is a.

The given expression is,Use property of logarithm

The value of log(0.5) is -0.30103.

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.Step-by-step explanation:

Answer 2

The value of the [tex]log_{0.5}[/tex] (16) will be -4.00 so the correct option will be (A).

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

A logarithm is a power to which a number must be raised in order to get some other number.

A logarithm is useful to find out the values on which power has a variable.

In another word, a logarithm is a different way to denote any number.

If you want to write 1 in logarithm then it will be log(base).

[tex]log_{a}[/tex] (x) = b ⇒ [tex]a^{b}[/tex] = x.

Let's say the given number is x then

x = [tex]log_{0.5}[/tex] (16)

[tex]0.5^{x}[/tex] = 16

Take log by both sides

Log[tex]0.5^{x}[/tex] = log 16

By log property

x log 0.5 = log 16

x = -4.00 hence, the correct answer to the given question will be -4.00.

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Related Questions

At the sewing store, Rita bought a bag of mixed buttons. She got 16 buttons in all. 12 of the buttons were large. What percentage of the buttons were large?

Answers

Answer:

75%

Step-by-step explanation:

Given:

Total = 16 buttons

Large = 12 buttons

To Find:

What percentage of the buttons were large?

Solution:

Since, we know that it asking for percentage(%) of buttons were large. As well as total is 16 buttons and 12 button were large.

Thus,

Formula : a/b × 100

Let's

a = 12

b = 16

Therefore,

12/16 × 100

.75 × 100

= 75%

Hence, the percentage of the buttons that Rita bought were large is 75%

Kavinsky

Look at this parallelogram. Find the value of s. perimeter = 20 feet
7ft and s ​

Answers

Answer: 3

Step-by-step explanation: perimeter = 2( length and width )

20 = 2(7 +s)

20 = 14 + 2s

6= 2s

S =3


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Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?

Answers

175=5x+35 solve for x and you have your answer
Subtract 35 from both sides and you get 140
Then divide 5 from both sides and x=28

The bar graph shows how much time a typical student spends on different activities each day. However, the way the graph has been drawn can make it somewhat misleading. Choose the statement that might WRONGLY be made on the basis of the graph.
A) More time is spent on chores than on eating.
B) The largest amount of time is spent sleeping.
C) More students spend more time on homework than on chores.
D) Twice as much time is spent on TV as is spent on homework.

Answers

Answer: the Answer is D) Twice as much time is spent on TV as is spent on homework

Step-by-step explanation:

.
The largest packet has 35
cards, 14 of which are blue
And rest are green

Answers

GivenTotal number of cards = 35No. of blue cards = 14No. of green cards = 35-14 = 21To find probability of getting a blue cardprobability of getting a green cardAnswerprobability of getting a blue card = 2/5probability of getting a green card =3/5Solution

we know that,

probability = no. of favourable outcomes/total outcomes

so,

probability of getting a blue card

=> 14/35 = 2/5

probability of getting a green card

=> 21/35 = 3/5

And IQ.

(2)

QUESTION THREE

(30 MARKS)

3. 1 Apart from being in the education sector, Richfield also has a fleet of cars available for rent.

Statistics shows that the Mercedes AMG G63 is the most rented car among their fleet and one in

four customers request this make.

If 5 of today's rentals are selected, what is the probability that 2 clients would have rented an

AMG G63?

(15)

3. 2 Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both its

wheels are damaged. According to current statistics, there is an 8% chance that the front wheel

gets damaged and a 12% chance the back wheel gets damaged.

What is the probability that a hired bike will be deemed beyond repair, provided that the wheels

get damaged independently of each other?

(15)

Answers

The probability that 2 clients would have rented an AMG G63 from the 5 people will be 0.0625.

How to calculate probability?

From the information given, the probability that 2 clients would have rented an AMG G63 from the 5 people will be:

= 0.25 × 0.25

= 0.0625

The probability that a hired bike will be deemed beyond repair, provided that the wheels get damaged independently of each other will be:

= 8% × 12%

= 0.08 × 0.12

= 0096

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Help Me write the inequality that represents the number line! Sorry the picture is bad quality!

Answers

Answer:

x ≤ -6

Step-by-step explanation:

The line is moving towards the left, which means that the numbers are getting smaller. X is going to be less than something.

The dot on -6 is colored in. This means that -6 is included in our inequality. [X could equal -6]

So, we could write the equation x ≤ -6

A function is given.
f(x) = (3*0.04*x) + x

What is f (850)?
f(850) =

Answers

The function f(x) = (3 * 0.04 * x) + x is a linear function, and the value of f(850) is 952

How to evaluate the function?

The function is given as:

f(x) = (3 * 0.04 * x) + x

Substitute 850 for x

f(850) = (3 * 0.04 * 850) + 850

Evaluate the product

f(850) = 952

Hence, the value of f(850) is 952

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Nada drives her car at an average speed of 60 miles per hour. She is planning a drive between 150 and 180 miles. Write and solve an inequality to model how many hours Nada will be driving

Answers

The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.

What is the number of hours it would take Nada to drive?

Average speed is the total distance travelled per time.

Average speed = total distance / total time

Time = total distance / average speed.

Time if she drives 150 miles = 150 / 60 = 2.5 hours

Time if she drives 180 miles = 180 / 60 = hours

2.5 ≤ x ≤3.

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which function’s domain consists of all real numbers expect 3?

Answers

Answer:

f(x)=3x−3

Step-by-step explanation:

hope this helps.

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

The answer is B. [tex]\frac{2x+1}{x^{2}-7} ,x\neq \sqrt{7}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+1\\g(x)=x^{2} -7[/tex]

Focusing on the denominator makes it equal to = 0

[tex]x^{2} -7=0\\x^{2} =7\\x=+\sqrt{7},-\sqrt{7}[/tex]

If the denominator equals zero then the equation ends up undefined. A number over zero, zero can not go divided into a number.

The circumference of a circle is 3π cm. What is the area of the circle?

Question 3 options:

9πcm2

1.5πcm2

6πcm2

2.25πcm2

Answers

circumference of circle: 2πr

2πr = 3πr = 1.5 cm

area of circle: πr^2

πr^2π(1.5)^22.25π

Create a linear function f(x) that represents this relationship in terms of x

Answers

Answer:

the linear function is f(x)=6x-24

Step-by-step explanation:

I hope it helped you

What is true about triangle LMN? Check all that apply.
y
LO
L
LMI MN.
N00
The triangle is scalene.
The triangle is equilateral.
The triangle is isosceles.
The triangle is a right triangle.
х
5
23
IN
M
-2
-3
on

Answers

Answer: A., D., and E.

Step-by-step explanation: On Edge!!

The given information none of the statements about triangle LMN confirmed as true.

Based on the given options, "Check all that apply," I'll evaluate each statement about triangle LMN:

The triangle is scalene: A scalene triangle is a triangle with three unequal side lengths. Since no information is provided about the side lengths of triangle LMN,  determine if it is scalene. Thus, it cannot be confirmed as true.

The triangle is equilateral: An equilateral triangle is a triangle with three equal side lengths. Without any information about the side lengths of triangle LMN, determine if it is equilateral. Thus, it cannot be confirmed as true.

The triangle is isosceles: An isosceles triangle is a triangle with at least two equal side lengths. Without any information about the side lengths of triangle LMN,  determine if it is isosceles. Thus, it cannot be confirmed as true.

The triangle is a right triangle: A right triangle is a triangle with one right angle (90 degrees). No information is given about the angles of triangle LMN, so determine if it has a right angle. Thus, it cannot be confirmed as true.

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Consider the diagram below.
Which of the following is a correct congruence statement for the triangles?
ABCDEF
AABC SAEDF
ABC SAEFD

Answers

Answer:

  ΔABC ≅ ΔEFD

Step-by-step explanation:

The congruence statement will list corresponding parts of the figures in the same order.

The left side of the statement is ΔABC, so we need to find the parts that correspond to A, B, and C, and list them in the same order. We notice that A is the marked angle, as is E. B is the other end of the line segment with 1 hash mark, as is F. Then corresponding vertices are ...

A and EB and FC and D

Consequently, the congruence statement must be ...

  ΔABC ≅ ΔEFD

Estimate the product by rounding 4.46 x 5.75

Answers

Answer:

24

Step-by-step explanation:

Round;

4.46 ≈ 4

5.75 ≈ 6

So;

4 x 6 = 24

Hope this helps!

Answer:

I think that the answer is 25

Step-by-step explanation:

I didn't really undertsand the question so I just multiplied 4.46 times 5.75 and than rounded to the nearest ones place.  The answer was 25.645

Hope this helped sorry if it is not the answer that you were looking for have a nice day.

I need help with a math equation

Answers

Answer:

-29

Step-by-step explanation:

Remove the brackets: -20 - 9

= -29

A large multiplex movie house has many theaters. The largest theater has 41 rows. There are 19 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in this theater?

Answers

Answer:

101

Step-by-step explanation:

I time 41x2 than add 19

Two numbers have a product equal to 24x²-74x + 42. One number is represented by the expression -8x+6. Find the binomial expression that represents the other number

Answers

Answer:

-3x + 7

Step-by-step explanation:

Divide -8x + 6    into   the product   to find the other is -3x+7

Please help! I know me have 10 minutes! Find all solutions to 20cos(2pi/5 x) = 10✔️2

Answers

Answer: A

Step-by-step explanation:

You have:

[tex]20cos(\frac{2\pi }{5} x)=10\sqrt{2}[/tex]

Begin by dividing both sides by 20 to get:

[tex]cos(\frac{2\pi }{5} x)=\frac{\sqrt{2} }{2}[/tex]

Take the arccosine of both sides to get:

[tex]arccos(cos(\frac{2\pi }{5} x))=arccos(\frac{\sqrt{2} }{2})[/tex]

[tex]\frac{2\pi }{5} x=arccos(\frac{\sqrt{2} }{2} )[/tex]

First of all, lets find the right side. Cosine of what gives sqrt 2 over 2? That would be pi/4, plus 2npi. Another solution would be 7pi/4, plus 2npi. We have:

[tex]\frac{2\pi }{5} x=\pi /4+2n\pi[/tex]

[tex]\frac{2\pi }{5} x=7\pi /4+2n\pi[/tex]

Isolate 'x' to get:

[tex]x=\frac{5}{2\pi } (\pi /4+2n\pi)=\frac{5}{8} +5n[/tex]

[tex]x=\frac{5}{2\pi } (7\pi /4+2n\pi)=\frac{35}{8} +5n[/tex]

A plane leaves an airport traveling at 400 mph in the direction n 45° e. a wind is blowing at 40 mph in the direction n 45° w. what is the ground speed of the plane?

Answers

The ground speed of the plane is 402 mph

We have given,

A plane leaves an airport traveling at 400 mph in the direction n 45° e. a wind is blowing at 40 mph in the direction n 45° w.

Now, Draw a right triangle with 400 and 40 as the two legs.

This is a right angle because 45 degrees NE is perpendicular to 45 degrees NW.

So, the two side lengths are 400 and 40

Using the Pythagorean theorem,

What is the Pythagorean theorem?

(a^2 + b^2 = c^2)

[tex]400^2+40^2=c^2\\\\c^2=160000+1600\\c^2=161600\\c=401.99[/tex]

Therefore the answer is 401.995, or 402mph.

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Solve for X. Please help!!!

Answers

Answer:

58

Step-by-step explanation:

First, we subtract 32 from 90(90deg-32deg) since the entire corner of the problem is the main area we will be focusing on. We get 58deg, and that's your answer!

Answer:

x = 58

Step-by-step explanation:

Look at the picture I have below.

It shown a complementary and supplementary angle.

As we can see there is complementary and supplementary angle in the given picture you have.

Also note that:

Complementary = 90 degree

Supplementary = 180 degree

Since we are solving for x and it close to complementary thus the equation can be written as:

x + 32 = 90

Subtract both sides by 32

x + 32 - 32 = 90 - 32

90 - 32 = 58

Hence x = 58

Kavinsky

What does the expression (8x)^2 represent?

Answers

Answer:

D

Step-by-step explanation:

(8x)² is the area of a square with a side length 8x,

because we want to find out how much space is inside a square that has two dimensions 8x length and 8x width.

Santiago receives an allowance of $7 every week. how much total does he receive.

Answers

Answer:

7 for each week

Step-by-step explanation:

7:1 = 7 dollars in 1 week

14:2

21:3

28:4

35:5

42:6

49:7

56:8

63:9

70:10

77:11

84:12

Answer:

How many weeks 23 34 85? if its 23 161 if its 34 238 and if its 85 595

Step-by-step explanation:

si 3×+0.15=1,29 cuál es el valor de x​

Answers

Answer:

x=0.38

Step-by-step explanation:

3x+0.15=1.29    1. -0.15 on both sides

3x=1.14  2. /3 on both sides

x=0.38

HURRY! BRAINLY WILL BE GIVEN!
A bicycle wheel travels 28π in. for each revolution. What is the radius of the wheel? Enter your answer in the box.

Answers

Answer:

The wheel radius is 18

Step-by-step explanation: Just got it right

URGENT HELP ASAP GRADE 11 MATH

Answers

Step-by-step explanation:

Shouldn't it be x^1 y. It's Because these are cancelled out.

Suppose a charity received a donation of $27.9 million. If this represents 22% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

well, the total amount is "x", which oddly enough is 100%, and we also know that 22% of that is 27.9 millions, so

[tex]\begin{array}{ccll} \stackrel{millions}{amount}&\%\\ \cline{1-2} x & 100\\ 27.9& 22 \end{array} \implies \cfrac{x}{27.9}=\cfrac{100}{22} \\\\\\ 22x=2790\implies x=\cfrac{2790}{22}\implies x\approx 127[/tex]

What’s the answer for this ?

Answers

Step-by-step explanation:

1)-1, 0, 1... do like this

How do you recognize an Arithmetic Sequence? Can you find terms within an arithmetic sequence using a formula

Answers

Answer:

An arithmetic sequence is an ordered set of numbers where the difference between each consecutive term is the same (this is called the "common difference").

The formula for each term in an arithmetic sequence is:

[tex]\sf a_n=a+(n-1)d[/tex]

where:

a is the first term in the sequenced is the common difference between consecutive termsn is the position of the term in the sequence

Example

Sequence:  3, 10, 17, 24, 31, ...

The first term in the sequence is 3, therefore a = 3

The common difference can be found by subtracting one term from the next:  d = 10 - 3 = 7

Substituting these values into the equation for the nth term:

[tex]\implies \sf a_n=3+(n-1)7[/tex]

[tex]\implies \sf a_n=3+7n -7[/tex]

[tex]\implies \sf a_n=7n -4[/tex]

Therefore, if we want to find the 5th term of the sequence, simply input
n = 5 into the found equation:

[tex]\implies \sf a_5=7(5)-4=31[/tex]

Yes we can find terms

The formula is

a_n=a+(n-1)d

Where

a=first terma_n=nth termd=common difference
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