Answer all questions olve the following logarithmic ec 2 log10 x + log103 = log10 75
\(2 log_{10}x + log_{10}(3) = log_{10}(75) \)






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The table that represents a linear function is table B.

A general linear function can be written as:

y = ax + b

Here we can see that for a increase of 1 unit in x, we have a constant increase/decrease of y (which is equal to a).

Only with that we can rule out the tables A, C, and D (C and D because we can see increases and decreases in the y-values).

And table A can be discarded because we have increases of 1 unit in x, but the increases in y aren't equal.

So the only remaining option is B.

Where we can see that as x increases, also does y.

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Answer:

option no. D

Step-by-step explanation:

i+34j+14k

hope it helps

Answer:

Step-by-step explanation:7.5x10^1

The population of the United States is 7.5 times greater than the population of California.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It might also be called standard index form or scientific form.

Given that California has approximately 4 x 10⁷ people living in it. The population of the entire United States is approximately 3 x 10⁸ people.

The United States how many times greater than California will be calculated as:-

Number of times = 3 x 10⁸ /  4 x 10⁷

Number of times = 0.75 x 10 = 7.5

Therefore,  the population of the United States is 7.5 times greater than the population of California.

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Answer:

x>15/7

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

672

Step-by-step explanation:

assuming that she is doing someones laundry and getting paid all those 40 hours then we use multiplication.

40x16.80=672$

largest 4 digit number : 9999

smallest 4 digit numbers : 1000

Difference = 9999 - 1000 = 8999

Answer:

ividing fractions test

Step-by-step explanation:

Answer:

dividing test

Step-by-step explanation:

Answer:

1.01410058673

Step-by-step explanation:

The standard deviation is just the square root of the variance.

One way variance can be defined as is

\(E[x^2]-E[x]^2\)

Where E[x] is the first moment (or the mean)

E[x²] is the second moment

We are given the first moment as 2.54, so we just need to solve for moment 2. To do this, just do sum(probability * x^2)

E[x²]=.72*2²+.15*3²+.13*5²= 7.48

Thus, the variance is 7.48-2.54²= 1.0284

Which means the standard deviation is √1.0284= 1.01410058673

The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

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Answer:

-3.9

Step-by-step explanation:

Answer:

The correct answer is supposed to be 3.36

Step-by-step explanation:

Add up all the numbers:

4 + 3.7 + 3.4 + 3 + 2.7  = 16.8

Divide by how many numbers there are:

16.8 ÷ 5 = 3.36

Using the expected value, it is found that the mean of the distribution equals $0.1.

The probabilities of each outcome are:

Thus, the mean is given by:

\(E(Y) = 0.0000001(1000000) + 0.9999999(0) = 0.1\)

Thus showing that the expected value is $0.1.

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Answer: Choice C) 0.6964;  0.6972

============================================

Work Shown:

n = 15

p = 0.5

q = 1-p = 1-0.5 = 0.5

P(k) = (n C k)*(p)^k*(q)^(n-k)

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

----------------

If you plug in k = 7, then we get,

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

P(7) = (15 C 7)*(0.5)^7*(0.5)^(15-7)

P(7) = 6435*(0.5)^7*(0.5)^8

P(7) = 0.1964

-----------------

Repeat for k = 8 all the way through k = 15. You could do this by hand, but I recommend using a spreadsheet to make things go much quicker.

Once you determine those values, add them up and you should get 0.6964 which is the binomial probability we want.

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As for the normal approximation, you'll need to compute the mu and sigma to get

The normal distribution will have those parameters.

Since we're using a continuity correction, we need to bump the x = 6 up to x = 6.5, since we want to be larger than 6

Let's find the z score

z = (x - mu)/sigma

z = (6.5 - 7.5)/(1.93649)

z = -0.516398

Now use a Z table or a calculator to determine that P(Z > -0.516398) = 0.6972 approximately. If you're using a TI calculator, then you'll use the normalCDF function. If you're using excel, then you would use the NormDist function (make sure to turn the cumulative flag to "true"). Alternatively, you can search out free z calculators to get the job done.

Complete question :

A test consists of 10 multiple choice questions. Each question has 5 choices. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, the probability of getting it right is 20%. What is the probability that the student will pass the test?

Answer:

0.006370

Step-by-step explanation:

Number of options = 5, with only one correct,hence, p = 1/5 = 0.2

Number of questions = 10

Number of correct answers required to pass = 6

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 0.2 ; 1 - 0.2 = 0.8

n = 10 ; x = 6

P(x ≥ 6) = p(6) + p(7) + p(8) + p(9) + p(10)

The formula above can be used to obtain the individual probabilities then taking the sum or we can obtain the solution using a calculator ;

Using a binomial probability distribution calculator with the parameters given :

P(x ≥ 6) = 0.0063693824

= 0.006370 ( 4 decimal places)

Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

Answer:

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Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.

Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.

A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.

We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.

total distance / time taken = average speed

\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because

Time taken = \(2075/415\) per days \(= 5 days\)

Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

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I believe the answer to question 2 is the first option, and the answer to question 3 is the last option

Step-by-step explanation:

h= 82 in

b= 18 in

p= x

we know,

according to pythagoras theorrem,

h^2 = p^2+b^2

82^2=x^2+18^2

6724 = x^+324

6724-324= x^2

6400= x^2

√6400 = x

80= x

the measure of missing side is 80.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:

25

Step-by-step explanation:

50:2=25

75:3=25

100:4=25

125:5=25

The rate of change of the given data in the table will be 25.

The momentum of a variable is represented by the rate of change, which is used to mathematically express the percentage change in value over a specified period of time.

The formula for the rate of change is straightforward: it simply divides the current value of a stock or index by the value from a previous time period.

The rate of change will be calculated by using the following formula:-

rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )

The rate of change will be calculated as below:-

50:2=25

75:3=25

100:4=25

125:5=25

Therefore, the rate of change of the given data in the table will be 25.

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Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.

To close the expansionary gap, the government would need to decrease spending by $100 billion.

The formula to calculate the change in equilibrium output due to a change in government spending is:

∆Y = (∆G / (1 - MPC))

Where:

∆Y = change in equilibrium output

∆G = change in government spending

MPC = marginal propensity to consume

Here, the output is $400 billion above its natural level, and the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. Therefore, we can assume that the change in government spending (∆G) would have a one-to-one effect on the equilibrium output (∆Y).

Given that MPC = 3/4, we can plug in the values into the formula:

400 = (∆G / (1 - 3/4))

∆G = (1 - 3/4) * 400

∆G = (1/4) * 400

∆G = 100

Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.

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Answer:

11/18

Step-by-step explanation:

let n represent the number to be found

simplify the ratio on the right by multiplying both parts by 3

we now have

n/11 =11/18  ( cross-multiply )

18n = 11 ( divide both sides by 18 )

n = 11/18

Answer:

I thought I answered this before

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

im taking  algebra 2 and this was a question

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

2\(\frac{1}{4}\)

I used division. I hope this helped and have a great day.

Answer:

y=1/3x+2

Step-by-step explanation:

To solve, you plug in each vaule for x and y in the table. If it is a true statement for more than 1 answer, thats the correct answer

Answer: C

Step-by-step explanation:

I had this question before

Answer:2

Step-by-step explanation:

car, and arc, however ar is also a word, not distinctly though.

Answer:

I believe that the correct answer is letter A