What is the approximate value of log625?

Answer:

The answer to your question is  7y - 19 = 0

Step-by-step explanation:

Data

Equation l         x  + 4y - 12 = 0

Equation ll        x = 3y - 7

Process

1.- Substitute equation ll in equation l

                    3y - 7 + 4y - 12 = 0

2.- Group like terms

                   (3y + 4y) + (-7 - 12) = 0

3.- Simplify like terms

                           7y - 19 = 0

4.- Result

                    7y - 19 = 0

Title:

Step-by-step explanation:

Let the building contractor bought 1000 cement in total.

70% of 1000 = 700 cements were from A and (1000 - 700) = 300 cements were from B.

The number of undamaged bag from A was 95% of 700 = [tex]\frac{95}{100} \times700 = 7\times95 = 665[/tex] and the number of undamaged bags from B was 70% of 300 = [tex]\frac{70}{100} \times300 = 210[/tex].

Total undamaged bags were (665 + 210) = 870.

The probability that an undamaged bag is from A is [tex]\frac{665}{870} = \frac{133}{174}[/tex].

Answer:

X = 1 - (1/4) - 2 * (1/4)

Step-by-step explanation:

The equation to be raised must take into account what is painted on Monday and Tuesday. First consider the wall as a unit, that is to say painting the entire wall (100%) is equivalent to 1. Therefore the equation would be the following:

Let X be the unpainted part:

X = 1 - (1/4) - 2 * (1/4)

X = 1 - (1/4) - (1/2)

Now, if we solve this, we have that 0.25, therefore 25% or 1/4 is left to be painted on the wall.

Answer:

B

Step-by-step explanation:

I first went through starting with A and took 3-9 (since it’s in the first box) I got -6 . You then divide 3 and 9 by -6 and report your answer.

I got 3/-6 = -.5 and And 9/-6 = -1.5

I then moved onto 4 and 12, I took the difference 4-12 and got -11.

4/-11 = -0.36 and 12 /-11 = -1.09

Since these answers are not the all the same I moved onto B

I took 20-25 = -5

20/-5 = -4 and 25/-5 = -5

Next numbers

24-30 = -6

24/6 = 4 and 30/6= 5

Next number

32-40= -8

32/-8 = -4

40/-8 = -5

( when putting this in fraction form it would be -4/-5 and that turns positive.) making this table proportioned unlike the other ones

Answer: option B is the correct answer.

Step-by-step explanation:

If two variables are proportional, a change in the value of one variable would cause a corresponding change in the value of the other variable. This means that both variables are related by a constant of proportionality, k.

Looking at the given tables,

For table A,

9/3 = 12/4 but not equal to 20/5

The relationship is not proportional.

For table B,

25/20 = 30/24 = 40/32 = 1.25

The relationship is proportional.

For table C,

12/4 = 15/5 but not equal to 24/6

The relationship is not proportional.

For table D,

4/3 = 16/12 but not equal to 9/6

The relationship is not proportional.

Answer:

a=16

Step-by-step explanation:

The distributive property states that

[tex]a(b+c)=ab+ac[/tex]

Therefore using the distributive property

[tex](y - 4x)(y ^ 2 + 4y + 16)[/tex]

=[tex]y(y ^ 2 + 4y + 16) - 4x(y ^ 2 + 4y + 16)[/tex]

Expanding the brackets

[tex]y ^ 3 + 4y^2 + 16y - 4xy ^ 2 - 16xy - 64x[/tex].....(i)

Comparing with the form

[tex]y ^ 3 + 4y ^ 2 + ay - 4x y ^ 2 - axy - 64x[/tex]-----(ii)

The coefficient of y in (i) is 16 which corresponds to a and the likewise the coefficient of xy

Therefore, a=16

Answer:

C.) 16

Step-by-step explanation:

Answer:

No; a range value has two domain values.

Step-by-step explanation:

Output has to be unique for all inputs.

Output for -2 is not unique

Answer:

No; a range value has two domain values

Step-by-step explanation:

Answer:

66.7%

Step-by-step explanation:

Given that

Total population = 50 million

Adults = 30 million

Those not interested in working = 5 million

Those interested in working but given up on searching = 5 million

Those searching = 5 million

Those working part time = 5 million

Those working full time = 10 million

Recall that

Labour force participation rate = (number of people actively participating in labour ÷ total number of people eligible) × 100

Number of people actively participating in labour = employed + unemployed

Employed = 10 million full time + 5 million part time

= 15 million

Unemployed = 5 million. Those searching.

Thus,

People actively participating in labour = 15 + 5= 20 million.

Total number of eligible people = total number of adults = 30 million

Therefore

Labour participation rate = (20/30) × 100

= 0.66667 × 100

= 66.6667

Approximately 66.7%

Answer:

(C)-262143

Step-by-step explanation:

For a geometric series, the nth term

[tex]A_n=ar^{n-1}[/tex] where a= first term, r=common ratio.

If [tex]A_1=a=-3[/tex] , r=4 and [tex]A_n=-196608[/tex]

then from [tex]A_n=ar^{n-1}[/tex]

-196608=-3 X [tex]4^{n-1}[/tex]

[tex]4^{n-1}=\frac{-196608}{-3} =65536\\4^{n-1}=4^8[/tex]

Since the bases are the same, the powers are equal

n-1=8

n=8+1=9

Therefore the Sum of the geometric series

[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex] (This form is used because r>1)

[tex]S_n=\dfrac{-3(4^{9}-1)}{4-1}[/tex]

[tex]S_n=\dfrac{-3(262144-1)}{3}=\dfrac{-3(262143)}{3}=-262143[/tex]

Answer:

4 Km behind.

Step-by-step explanation:

1. Draw a graph

2. make Dave Edith and Foley

3. 8-0 is 8 and 12-8 is 4

The speed is the distance covered by an object at a particular time. When Edith finishes the race, the distance by which Foley is behind is 6 km.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Let the time in which Dave finishes the race be represented by t. Therefore, in time t Dave completed 24 km.

Given that When Dave finishes the race, Edith is 8 km behind. Therefore the distance that Edith will cover in time t is 16 km. Now, the speed of Edith will be,

Speed of Edith = 16 km /t

Also, When Dave finishes the race, Foley is 12 km behind. Therefore the distance that Edith will cover in time t is 12 km. Now, the speed of Edith will be,

Speed of Edith = 12 km /t

Now, the time it will take for Dave to finish the rest of 8 km distance is,

Time = 8 km / (16 km/t)

        = 0.5 t

Further, the distance that Edith will cover in time 0.5t is,

Distance = 0.5t × 12km/t

               = 6 km

Therefore, the distance that will be left for Foley is 6 km.

Hence, When Edith finishes the race, the distance by which Foley is behind is 6 km.

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Answer:

Step-by-step explanation:

Please find the attached photo for your reference how to draw the rectangle.

1. From on point E and draw a segment 2 units long because the height is 2 units and be vertical.

2. Draw horizontally a line 4 units long (the length) to the right

3. Draw a line upwards 2 units long, at that point it must be at the same height than point E.

4. Draw a 4-units line to the left, and you will be back on point E, the rectangle done.

Answer:

Over here

Step-by-step explanation:

Answer:

0.323

Step-by-step explanation:

Number of mathematics instructors=8

Number of Computer Science instructors=13

Number of Statistics instructors=4

Number of Physics instructors=6

Total Attendance = 8+13+4+6=31

Probability of Getting a Physics Instructor=6/31

Probability of Getting a Statistics Instructor=4/31

Pr (Getting a Physics OR Statistics Instructor)

=Probability of Getting a Physics Instructor+

Probability of Getting a Statistics Instructor

=6/31+4/31=10/31=0.323

Step-by-step explanation:

Hope it helps you in your learning process.

[tex]\frac{23\pi}{3}[/tex] corresponds to  [tex]\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)[/tex].

[tex]-\frac{3\pi}{4}[/tex]  corresponds to [tex]\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)[/tex].

-150 degree corresponds to  [tex]\left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right)[/tex].

Rewrite as:

[tex]\frac{23\pi}{3}=\frac{18\pi+5\pi}{3}=6\pi+\frac{5\pi}{3}[/tex].

We know that [tex]\frac{5\pi}{3}[/tex] corresponds to [tex]\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)[/tex]. So [tex]\frac{23\pi}{3}[/tex] also corresponds to  [tex]\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)[/tex].

[tex]-\frac{3\pi}{4}[/tex] has same position as: [tex]-\frac{3\pi}{4}+2\pi=\frac{5\pi}{4}[/tex].

So the corresponding point to it is [tex]\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)[/tex].

From unit circle 150 degree corresponds to [tex]\left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right)[/tex].

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Answer:

18 days

Step-by-step explanation:

Let x represent number of days.

We have been given that Brandy's watch falls 1 second every day. So Brandy's watch will fall [tex]1x[/tex] seconds behind in x days.

We are also told that Brandy set her watch 4 seconds behind, so Brady's watch will be behind by total [tex]x+4[/tex] seconds in x days.

Since Brady's watch is 22 seconds behind, so we will equate [tex]x+4[/tex] by 22 to solve for x as:

[tex]x+4=22[/tex]

[tex]x+4-4=22-4[/tex]

[tex]x=18[/tex]

Therefore, Brandy set her watch 18 days ago.

Answer:

Its been 19 days since brandy last set her watch as the watch is 22 seconds behind.      

Step-by-step explanation:

We are given the following in the question:

Brandy set her watch 4 seconds behind and it falls behind another 1 second every day.

Thus, this forms an arithmetic progression.

4, 5, 6, 7, ...

First term, a = 4

Common difference, d = 1

The [tex]n^{th}[/tex] terms is 22. We have to find the value of n.

The  [tex]n^{th}[/tex] terms of A.P is given by

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

Putting values, we get,

[tex]22 = 4 + (n-1)1\\18 = n-1\\n = 19[/tex]

Thus, its been 19 days since brandy last set her watch as the watch is 22 seconds behind.

Answer:

(a) 0.124

(b) 0.174

Step-by-step explanation:

We are given that 60% of the Valium users in the state of Massachusetts first took Valium for psychological problems.

The Binomial distribution probability is given by;

P(X = r) = [tex]\binom{n}{r}p^{r}(1-p)^{n-r}[/tex] for x = 0,1,2,3,.......

Here, n = number of trials(samples) which is 8 in our case

           r = no. of success

          p = probability of success which is probability of users who take  

                 Valium for psychological problems of 0.60 in our case

(a) Let X = users taking Valium for psychological problems

  So, P(X = 3) = [tex]\binom{8}{3}0.6^{3}(1-0.6)^{8-3}[/tex]

                      = [tex]56 * 0.6^{3}*0.4^{5}[/tex] = 0.124

(b) Since, it is given that 60% of the Valium users in the state of  Massachusetts first took Valium for psychological problems which means 40% of the Valium users in the state of Massachusetts take Valium for problems which are not psychological.

i.e., in this case p = 0.40

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= [tex]\binom{8}{5}0.4^{5}(1-0.4)^{8-5} + \binom{8}{6}0.4^{6}(1-0.4)^{8-6} + \binom{8}{7}0.4^{7}(1-0.4)^{8-7} + \binom{8}{8}0.4^{8}(1-0.4)^{8-8}[/tex]

= [tex]56 * 0.4^{5} * (0.6)^{3} + 28 * 0.4^{6} * (0.6)^{2} + 8 * 0.4^{7} * (0.6)^{1} + 1 * 0.4^{8}[/tex]

= 0.174

Using the binomial probability formula, we can determine the probabilities requested in the question. For example, the probability that exactly 3 of the next 8 users began taking Valium for psychological problems is computed using the formula for binomial probability with n=8, k=3, and p=0.60, and the probability that at least 5 began taking Valium for other reasons is computed analogously with p=0.40.

This question relates to the concepts of binomial probability and combinatorics. It asks about the probability that certain conditions are met among a specific set of Valium users.

First, to find the probability that exactly 3 of the next 8 users began taking Valium for psychological problems, we would use the formula for binomial probability: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)). Here, n=8 (the total number of trials), k=3 (the number of successful trials we're looking for), and p=0.60 (the probability of a single successful trial).

Calculating, we get P(X=3) = C(8, 3) * (0.60^3) * ((1-0.60)^(8-3))

For the second part of the question, we want to find the probability that at least 5 out of the 8 users began taking Valium for reasons other than psychological issues. This is equivalent to 1 - the probability that 4 or fewer of the 8 users took it for non-psychological reasons.

The same binomial probability formula can be used, with n=8, p=0.40 (since the probability of a single user taking Valium for non-psychological reasons is 1 - 0.60 = 0.40), and k taking values from 0 to 4. The probabilities are computed for each k and then summed. The result is then subtracted from 1 to get our desired probability, given by: P(X>=5) = 1 - Σ [P(X=k) from k=0 to 4]

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Answer:

12.167[tex]cm^3[/tex]

Step-by-step explanation:

The volume of any solid shape is the quantity or capacity it can contain.  For example, if you have a closed tin of milf that is filled to the brim, the volume of the tin is the quantity of milk that is in the tin.

Given any cube with side length s, the Volume V=[tex]s^3[/tex]

If the cube has a side length of 2.3 centimeters

Volume=[tex]s^3[/tex]= s X s X s = 2.3 X 2.3 X 2.3=12.167[tex]cm^3[/tex]

Volume of the Cube = 12.167[tex]cm^3[/tex]

Answer: 12.167 cubic centimeters

Step-by-step explanation:

Length of side BM is 30 yd

Step-by-step explanation:

⇒ ∠B + ∠M + ∠S = 180°

⇒ 35° + 102° + ∠S = 180°

∴ ∠S = 180° - 137° = 43°

Law of sines ⇒ a/sin A = b/sin B = c/sin C

Here, let BM be a then, sin A = sin S = sin 43° = -0.83

Also, b = 18 yd, then sin B = sin 35° = -0.43

⇒ BM/-0.83 = 18/-0.43

⇒ BM = -0.83 × 18/-0.43 = 14.94/0.43 = 34.74 yd = 30 yd (rounded to nearest tenth)

Answer:

Step-by-step explanation:

Looking at the triangle, to determine BM, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. From the triangle, m∠S = 180 - (102 + 35) = 43°

Therefore, applying the rule,it becomes

18/Sin35 = BM/Sin43

Cross multiplying, it becomes

BM × Sin 35 = 18 × Sin 43

BM × 0.5736 = 18 × 0.6820

0.5736BM = 12.276

Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes

0.5736BM/0.5736 = 12.276/0.5736

BM = 21.4

Answer:

All values are identical.

Step-by-step explanation:

We are given the following in the question:

If the standard deviation of a set of data is zero.

Then, all the values in data are identical.

This can be shown as:

Let all the terms in data be x.

Formula:

[tex]\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}[/tex]  

where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.  

[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]

[tex]Mean =\displaystyle\frac{nx}{n} = x[/tex]

Sum of squares of differences =

[tex]\displaystyle\sum (x_i - x)^2 = 0[/tex]

[tex]\sigma = \sqrt{\frac{0}{n}} = 0[/tex]

Thus, the correct answer is

All values are identical.

The correct conclusion about the set of values when the standard deviation is zero is that all values are identical.

The standard deviation is a measure of the amount of variation or dispersion in a set of values. A standard deviation equal to zero means that there is no variation at all in the data set. This can only occur if all the values in the set are exactly the same.

To understand why this is the case, let's consider the formula for standard deviation (for a population):

[tex]\[ \sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{N}} \][/tex]

Here, [tex]\( \sigma \)[/tex]  is the standard deviation, [tex]\( x_i \)[/tex] represents each value in the data set, [tex]\( \mu \)[/tex] is the mean of the data set, and [tex]\( N \)[/tex] is the number of values in the data set.

Now, let's address the other options:

Answer:

C

Step-by-step explanation:

The slope = rise over run

If you count the blocks, you'll see it goes down 5 for every 6 to the right it goes.

Answer:

21.27 years

Step-by-step explanation:

22800 = 9900(1.04^t)

22800/9900 = 1.04^t

76/33 = 1.04^t

ln(76/33) = t×ln(1.04)

t = 21.27

Answer: it will take 20.83 years.

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = 9900

A = 22800

r = 4% = 4/100 = 0.04

Therefore,

22800 = 9900 x 2.7183^(0.04 x t)

22800/9900 = 2.7183^0.04t

2.3 = 2.7183^0.04t

Taking ln of both sides, it becomes

Ln 2.3 = 0.04t ln2.7183

0.833 = 0.04t

t = 0.833/0.04

t = 20.83 years

Answer:

Step-by-step explanation:

If you were talking about how many meters of fencing the school would need it would be 160 meters. The reason i say this is because if you were to divide the 3 sides of the playground by 48o meters of fencing you would get 160 meters of fencing. If this is not the answer your looking for than please state the question next time. THANK YOU

The function of area will be A(x) = x( 480 - 2x)

The area of the rectangle is the product of the length and width of a given rectangle.

The perimeter is given P = 480 meters

Since the one of the sides does not need fencing, the perimeter would be:

P = 2x + y

Make y the subject;

y = P -2x

Substitute 480 for P;

y = 480 - 2x

The area of a rectangular fence is:

Area = xy

Substitute ;

A = x( 480 - 2x)

Express as a function

A(x) = x( 480 - 2x)

Hence, the function of area will be A(x) = x( 480 - 2x)

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Answer:

The mean of the sampling distribution of the sample mean for the three observations each day is 132.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 132

Standard Deviation, σ = 5

Each observation behaves as a random sample.

a) Mean of the sampling distribution

[tex]\bar{x} = \mu = 132[/tex]

b) Standard deviation of the sampling distribution

Sample size,n = 3

[tex]s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{5}{\sqrt{3}} = 2.887[/tex]

Thus, the mean of the sampling distribution of the sample mean for the three observations each day is 132.

Answer:

The 12 children selected in Mrs. Smith's kindergarten class.

Step-by-step explanation:

In this case, the population studied are all children in Mrs Smith's kindergarten class, the sample chosen for the study are the 12 children selected in Mrs. Smith's kindergarten class, and the analyzed variable is the number of hours children sleep.

Therefore, since the question asks for the sample, the answer is  The 12 children selected in Mrs. Smith's kindergarten class.

Answer: x = 35

Step-by-step explanation:

In a parallelogram, the opposite sides and the opposite angles are equal and parallel.

Also, the consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle (2x - 10) and angle (2x + 50) are consecutive angles. Therefore,

2x - 10 + 2x + 50 = 180

2x + 2x - 10 + 50 = 180

4x + 40 = 180

4x = 180 - 40 = 140

x = 140/4

x = 35

Answer:

Data-table is the correct approach of recording numerical information from an experiment

Step-by-step explanation:

A data-table is a group of related facts arranged in labeled rows and columns and is used to record information. Its purpose is to help sort, analyze and compare data gathered from a science experiment or research project. Knowing how to create a data table demonstrates skills in organizing information in a meaningful way and provides a learning base to progress to more sophisticated ways to track data.

The inverse of the equation y = 9x² − 4 is found by switching x and y and solving the equation for the new y. The correct inverse function after simplification is y = ±√(x / 9 + 4).

To find the inverse of the equation y = 9x2 − 4, you need to switch the roles of x and y and then solve for y once again. Here is a step-by-step explanation:

Comparing the result with the choices given, we find that y = ±√(x / 9 + 4) is the correct inverse function.

Answer: c. price inelastic and supply is more price-inelastic.

Step-by-step explanation:

Inelastic price describes the consumers static habit of purchasing irrespective of the rise or fall in price.

Supply inelastic : This is a sitiuation when percentage change in supply is less than a percentage change in price.

Answer:

1.4 units

Step-by-step explanation:

Answer:

Each guest uses [tex]\frac{1}{25}[/tex] of a gallon of liquid soap bubble at Sara's party.

Step-by-step explanation:

We are given the following in the question:

Number of guests at Sara's party = 15

Amount of liquid soap bubble used by 15 guest =

[tex]\dfrac{3}{5}\text{ of a gallon}[/tex]

Fraction of liquid soap bubble available for each guest =

[tex]=\dfrac{\text{Liquid soap bubble used by 15 guest}}{\text{Number of guest}}\\\\=\dfrac{\frac{3}{5}}{15}\\\\=\dfrac{1}{25}[/tex]

Thus, each guest uses [tex]\frac{1}{25}[/tex] of a gallon of liquid soap bubble at Sara's party.

Answer:

1/25 of the gallon each person will get

Step-by-step explanation:

Answer:

The last one: 6.3 units.

Answer: 6.3 units

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = 4

x1 = - 2

y2 = 4

y1 = 2

Therefore,

Distance = √(4 - - 2)² + (4 - 2)²

Distance = √6² + 2² = √36 + 4 = √40

Distance = 6.3 units

Answer:

The correct answer to the question is

a. variable interval

Step-by-step explanation:

In a variable interval, the time at which reinforcement or reward is gained occurs at an unpredictable time. That is the animal gets a reinforcement on the grounds of an unpredictable time period.

An example of a variable interval is the catching of fish whereby the fisher catches fishes at an unpredictable time throughout the day.

The result of a variable interval is a controlled but stable response rate. In the case in the question, constant monitoring of the fishing device is important

The reinforcement schedule described is a variable interval schedule where the reinforcement occurs at unpredictable intervals of time.

The reinforcement schedule described in the question is a variable interval schedule.

Variable interval refers to a schedule in which the reinforcement (in this case, catching fish) occurs at unpredictable intervals of time. Harold catches fish throughout the day, but the intervals between catching fish are inconsistent and unpredictable.

Examples of variable interval schedules include waiting for a bus that arrives at different times or checking your phone for new messages throughout the day.

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