Write as a single number. log464 + log536

Answer:

Hey there!

-16h=16

Divide both sides by -16

h=-1

Hope this helps :)

Answer:

h = -1

Step-by-step explanation:

inverse operation:

16 = -16h

divide by -16 on both side

-1 = h

The U.S. Census Bureau takes a census every 10 years, which means that they attempt to count every person living in the United States and collect data on various demographic and social characteristics.

A sample is a subset of a larger population, selected in a way that it represents the characteristics of the population from which it is drawn. The purpose of sampling is to estimate or infer something about the population based on the characteristics of the sample.

On the other hand, a census is a survey or count that attempts to measure every member of a population.

In a census, data is collected on every individual or item in a population, rather than just a representative sample.

If you wanted to estimate the average income of households in a city, you could select a sample of households and estimate the average income based on the incomes of the sampled households.

This would be an example of sampling.

Alternatively, you could conduct a census of every household in the city, collecting income data from every household, and calculate the exact average income of all households in the city.

The purpose of the census is to provide a complete and accurate count of the population, which can then be used to allocate political representation and government funding, as well as to provide data for research and planning purposes.

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If the expression \(r(x) = 3x - 1\) and the expression \(s(x) = 2x + 1\) , then the expression equivalent to \(\frac{r}{s} (6)\) is (a) \(\frac{3(6)-1}{2(6) +1}\) .

What are Algebraic Expression ?

The algebraic Expression are defined as the expressions that are written with the combination of variables and constants joined by mathematical operators , For Example : \(3x+7\) .

Here the two expressions are given as \(r(x) = 3x - 1\) and \(s(x) = 2x + 1\) ;

we have to find equivalent expression for \(\frac{r}{s} (6)\) ;

By the Division Property of Algebraic Expression ;

it can be written as : \(\frac{r(6)}{s(6)}\) ;

So , Substituting \(x=6\) , in r(x) ,

we get ; \(r(6) = 3(6) - 1\) , ......equation(1)

On Substituting \(x=6\) , in s(x) ,

we get ; \(s(6) = 2(6)+1\) ,  ....equation(2) ;

Substituting the values of r(6) and s(6) from equation(1) and equation(2) in \(\frac{r(6)}{s(6)}\) ;

we get ;

⇒ \(\frac{r(6)}{s(6)} = \frac{3(6)-1}{2(6) +1}\) ;

Therefore , the expression equivalent to \(\frac{r}{s} (6)\) is \(\frac{3(6)-1}{2(6) +1}\) .

The given question is incomplete , the complete question is

If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to r/s(6) ?

(a) \(\frac{3(6)-1}{2(6) +1}\)

(b) \(\frac{(6)}{2(6)+1}\)

(c) \(\frac{36-1}{26+1}\)

(d) \(\frac{(6)-1}{(6)+1}\)

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In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

Answer: 4 4.75 4.50 4.50

Step-by-step explanation:

Answer: 3, 3 1/2, 4 1/2, 5

Answer:

-8 < x ≤ 0

Let's remember what open and closed circle mean:

Open Circle:

Less than ( < ) / Greater than ( > )

Closed Circle:

Greater than or equal to ( ≥ ) / Less than or equal to ( ≤ )

Now, let's review this graph:

Let's call this unknown value 'x'

Reading the graph left to right:

x is greater than -8, but is less than or equal to (Remember!! Closed circle!)

We can right this as:

-8 < x ≤ 0

And that is our answer! If your problem wants a different variable (y, z, q, etc) just put that in place of 'x'

Let me know if this helped!

Answer:

\(12:48=\frac{12}{48}\)

Step-by-step explanation:

None

Answer:

83.20

Step-by-step explanation:

You put the 65 into a percent then multiply by 128 then you get your discount

so the answer is 16+4i ^2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

3/4 x 12/1= 9

Step-by-step explanation:

I answered this earlier but it deleted it.

So you would put the 12 over one to make it a fraction and multiply straight across

Answer:

335

Step-by-step explanation:

536/336 = x/210

We're assuming all horizontal lines are parallel. Let x be the distance between A and B

\(\dfrac{x}{536}=\dfrac{210}{336}\)

Cross multiply

\(336x=536 \times 210\)

Simplifying and solving for x gives us:

\(x=335\)

Now, add the distance between A and B and the distance between B and C to find the distance between A and C:

\(335+536=871\)

The answer is choice C. Let me know if you need any clarifications, thanks!

Answer:

all answers on the graph will be 4 times that amount

Step-by-step explanation:

rise over run

basically if y is 1 and its of a slope of 1/4 then youd multiply it by 4. 2/8 3/12

as well as it will always be a positive slope :)

Answer:

a=5 b=8 c=4

Step-by-step explanation:i hope this is right

Answer:

10 cups

Step-by-step explanation:

He buys 1 pint of juice and 1/2 gallon of juice.

We have to convert pint and gallon to cups and then add them.

1 pint = 2 cups

1 gallon = 16 cups

1/2 gallon = 1/2 * 16 = 8 cups

Therefore,

2 + 8 = 10 cups

Fernando buys 10 cups of juice.

Let x be the total number of questions on the test; then,

Which is equivalent to

Solve for x as shown below

The answer is 20 questions in total on the test

Answer:

14

Step-by-step explanation:

Given:

The triangles DEF is similar to GHF.

The objective is to find a similar ratio of DF/DE.

Explanation:

Using the basic proportionality theorem, for the similar triangles DEF and GHF,

Considering the first two ratios of equation (1),

On interchanging the segments further,

Hence, the required segment in the blanks is GF/GH.

Answer:

b = 0 c = 9

Step-by-step explanation:

Answer:

b=0 c=9

Step-by-step explanation:

Answer: 0.429

Step-by-step explanation: Use a calculator and put the fraction and hit enter to get it in decimal form. You should get a number like 0.42857142857 but the problem asks us to round to the nearest thousandth. Since there is a 5 in the ten-thousandth place, we must round up. Therefore, the final answer will be 0.429.

Answer:

1. a. 544%

b. 84%

2. 175

3. $867.18

Step-by-step explanation:

1. a.2.32-0.36=1.96

1.96/0.36=5.44

5.44*100=544

b. 1.96/2.32=0.84

0.84*100=84

2. let x = # of 7th graders

let y = # of 8th graders

y is 125% of x

y=1.25x

x=140

y=1.25*140

y=175

3. A=P(1+r)^t

A=700(1+0.055)^4

A=867.18

For each of these values of t, we will need to find the corresponding value of vc(t) and plot it on the graph. Once we have all 8 points plotted, we can connect them with a smooth curve to visualize the function vc(t) over the given interval.

To sketch vc(t) for -0.2 ≤ t ≤ 0.5 s, we will need to have an equation or a set of data points that define the function vc(t). Without more information, it is difficult to give a specific answer.

However, assuming we have a set of data points for vc(t), we can plot them on a graph to visualize the function.

Since we are asked to plot the points for the values of t that are separated by the step δt = 0.1 s, we will need to choose 8 values of t between -0.2 s and 0.5 s that are separated by a distance of 0.1 s.

These values could be:
t = -0.2 s, -0.1 s, 0 s, 0.1 s, 0.2 s, 0.3 s, 0.4 s, 0.5 s

For each of these values of t, we will need to find the corresponding value of vc(t) and plot it on the graph.

Once we have all 8 points plotted, we can connect them with a smooth curve to visualize the function vc(t) over the given interval.

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Answer:

(n - 1)/2

Step-by-step explanation:

F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)

  = (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)

     (there are n terms of 1)

  = n - (1 + 2 + 3 + ... + n)/n

  = n - [n x (n + 1)/2]/n

  = n - [n x (n + 1)]/[2 x n]

  = n - (n+1)/2

  = (2n - n - 1)/2

  = (n - 1)/2

Hope this helps!

Answer:

X=66

Step-by-step explanation:

114+x=180

X= 66

To find the volume of the box, start by converting the 6 inches into feet, using that 1 feet has 12 inches.

use the formula of the volume of a box

w = 3ft

l = 4ft

h = 0.5ft

The box holds 6 cubic feet of sand.

The scale factors are given as follows:

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Considering two equivalent side lengths, the scale factors are given as follows:

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We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

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In this scenario, a person chooses Lottery A over Lottery B, and we need to determine if their behavior violates expected utility theory (EUT) both without any restrictions on utility and with risk aversion. We also need to analyze whether we can predict their choice between Lottery C and Lottery D based on EUT.

(a) Without any restrictions on utility, the person's behavior does not violate expected utility theory. The person may assign higher subjective probabilities to the outcomes in Lottery A, which leads them to prefer it over Lottery B.

(b) To determine if the person's behavior violates expected utility theory with risk aversion, we would need to assess their risk preferences. Without information on their utility function, we cannot definitively conclude if their behavior violates risk aversion or not.

(c) Given that the person chose Lottery A over Lottery B, if they obey expected utility theory without any restrictions on utility, we can predict their choice between Lottery C and Lottery D. Based on the assumption that they consistently evaluate lotteries according to expected utility theory, they would choose Lottery C since it offers a higher expected value ($640) compared to Lottery D ($610).

It is important to note that these conclusions depend on the assumptions and rationality assumptions of expected utility theory. If the person's preferences do not conform to the assumptions of EUT, their choices may not align with the predictions of the theory.

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My age is 2 years from the given condition.

Given that, if you square my age and subtract 28 times my age, the result is 60.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be my age.

Now, square my age is x²

28 times my age =28x

The square of my age and subtract 28 times my age, the result is 60.

x²-28x=60

⇒ x²-28x-60=0

⇒ x²+30-2x-60=0

⇒ x(x+30)-2(x+30)=0

⇒ (x+30)(x-2)=0

⇒ x=2

Hence, my age is 2 years from the given condition.

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Answer:

Please check the explanation.

Step-by-step explanation:

We know that if we multiply 3 and 4, we get 12.

In other words, 3 × 4 = 12

Thus, 3 and 4 are factors of 12.

now

Given the expression

\((a+b+c)(d+e+f)\)

The given expression consists of two factors which are:

We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.

For example, in the expression, 4b + 2, 4b and 2 are terms.

so,

The given data in the problem is the average rate of emails in an email inbox, which is 3.4 emails in an hour. The required probability of getting 2 emails in the next 30 minutes is to be determined.

Solution:Given data: The average rate of emails is 3.4 emails per hour.Therefore, the average rate of emails per minute = 3.4/60 = 0.0567 emails per minute.Let X be the number of emails received in the next 30 minutes.Hence, the number of emails received in the next 30 minutes follows a Poisson distribution with the mean μ given byμ = (0.0567 emails/min) x (30 min)μ = 1.701

the probability of receiving 2 emails in the next 30 minutes when the average rate of emails is 3.4 emails per hour is 0.091 or 9.1%. This implies that among 100 occurrences with the same average rate, we can expect to have 9.1 occurrences with 2 emails received in the next 30 minutes.

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