Simplify the expression below and write it as a single logarithm: 3log(x+4)+2log(x-7)-5log(x-2)+log(x^2)

The statement that is most likely true is: "The data in Sample B is clustered around the center where Sample A is more spread out."

A dataset is a collection of information, often represented in a tabular form, that contains one or more variables or pieces of data for a particular set of individuals or observations. Each individual or observation in the dataset is typically represented by a row in the table, while the variables are represented by columns. Datasets can be used to study a wide variety of phenomena, from social and economic trends to scientific experiments and medical studies. They can be collected through a variety of methods, including surveys, experiments, observations, and automated data collection systems, and can be analyzed using statistical methods to gain insights into the underlying patterns and relationships in the data.

Here,

This is because Sample A has a larger range than Sample B, indicating that the data points in Sample A are more spread out across the number line. Additionally, the median for both samples is the same (5), but the mean for Sample A is higher than the mean for Sample B, which could suggest that there are some larger values pulling the mean upward in Sample A. Taken together, these characteristics suggest that Sample A has more variability in its data points, while Sample B is more clustered around the center.

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Answer:

C

Step-by-step explanation:

The sum of the measures of the three angles of a triangle is 180 degrees.

A

50 + 40 + 90 = 180    good

B

55 + 35 + 90 = 180     good

C

45 + 40 + 90 = 175    not good

Answer: C

Answer:

10/3

Step-by-step explanation:

X is the what in this equation.

6x = 20

x = 20/6

x = 10/3

Six times 10/3 is equals to 20.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Let x be the required number.

Then to find what times 6 equals 20:

We have expression,

6x = 20

Simplifying,

x = 20 /6

x = 10/3

The number is 10/3.

Therefore, the required number is 10/3.

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Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer:

sorry need point

Step-by-step explanation:

Answer:

sin (55) = cos (35)

sin (62) = cos (28)

Hope that this could help!! (▰˘◡˘▰)

Answer:

3 - 2x

Step-by-step explanation:

\(\huge\bold\purple{3 - 2x}\)

Answer:

29.00

Step-by-step explanation:

Answer:

500000-(400*677)-(20*93.49)-(10*115.65)=226173.7

Step-by-step explanation:

Money left 226173.7 usd

Answer:

$226,173.70

Step-by-step explanation:

400 * 677 = 270,800

20 * 93.49 = 1869.80

10 * 115.65 = 1156.50

270,800 + 1869.80 + 1156.50 = 273,826.30

500,000 - 273,826.30 = 226,173.70

Answer:

1) -2a + 2

2) x + 1

3) -5x + 5

Step-by-step explanation(1):

\(\left(7a+4\right)-\left(9a+2\right)\\=7a+4-\left(9a+2\right)\\=7a+4-9a-2\\=7a-9a+4-2\\=-2a+4-2\\=-2a+2\)

Step-by-step explanation(2):

\(\left(2x+5\right)-\left(x+4\right)\\=2x+5-\left(x+4\right)\\=2x+5-x-4\\=2x-x+5-4\\=x+5-4\\=x+1\)

Step-by-step explanation(3):

\(\left(2x+4\right)-\left(7x-1\right)\\=2x+4-\left(7x-1\right)\\=2x+4-7x+1\\=2x-7x+4+1\\=-5x+4+1\\=-5x+5\)

Hope this helps. Notify me of any concerns.

Answer:

49

Step-by-step explanation:

x^2-14x+c

Take the coefficient of x

-14

Divide by 2

-14/2 = -7

Square it

(-7)^2

49

This is the number you add

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Answer:

D. -1/3

The slopes of perpendicular lines are negative reciprocals of each other. In other words, the product of the slopes of perpendicular lines is -1. So the slope of a line perpendicular to a line with a slope of 3 will have a slope of -1/3. D is correct.

Answer:

z -2 = 10

Step-by-step explanation:

11z-9-10z+7 = 10

Combine like terms on the left side

11z -10z     -9+7  =10

z -2 = 10

Answer: z=12

Step-by-step explanation:

\(11z-9-10z+7=10\\z-9+7=10\\z-2=10\\z=12\)

Answer:

length of each side = 15cm

area = 225cm²

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:

yes yesss yessssssssssssssssssssssssssssssssssss

Solve Absolute Value.

|6x + 3| = 15

We know either 6x + 3 =15 or 6x + 3 = −15

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

6x + 3 = 15 (Possibility 1)

6x + 3 - 3 = 15 − 3 (Subtract 3 from both sides)

6x = 12

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{12}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = 2

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

6x + 3 = −15 (Possibility 2)

6x + 3 - 3 = -15 - 3 (Subtract 3 from both sides)

6x = -18

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{-18}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = -3

Therefore, the answer is x = 2 or x = −3. The correct option is alternative "D".

The monthly payments for the loan amount $10,000 is $132.56 and the total interest for the loan is $5363.27.

The formula for monthly payments for the loan is,

\(M.P. = \frac{P(r/n)}{1 - (1 + r/n)^-nt}\)

where, P is the initial amount

r is the rate

n is the period in a year

t is the number of years

Now it is given that,

Principle amount borrowed P = $10,000

Rate of interest, r = 7% = 0.07

Monthly Payment, so n = 12

Time, t = 4 years

Thus, Monthly payment of the loan is given as,

\(M.P. = \frac{P(r/n)}{1 - (1 + r/n)^-nt}\)

Putting the values we get,

\(M.P. = \frac{10,000(0.07/12)}{1 - (1 + 0.07/12)^-12*4}\)

Simplifying we get,

\(M.P. = \frac{(70/12)}{1 - (12.07/12)^-48}\)

or,

\(M.P. = \frac{5.833}{1 - (1.005)^-48}\)

Thus, we get

\(M.P. = \frac{5.833}{1 - 0.756}\)

or,

\(M.P. = \frac{5.833}{0.244}\)

Solving we get,

M.P. = $132.56

this is the required monthly payment for the given loan.

Now the total interest paid will be the difference of the total on monthly payments paid and the initial amount.

Thus,

Total interest of the loan = T.M.P - P

Therefore,

Total Monthly Payments = M.P x t x n

Putting the values we get,

Total Monthly Payments = 132.56 x 4 x 12

⇒ Total Monthly Payments = $6363.27

Therefore,

Total interest of the loan = 6363.27 - 10,000

⇒ Total interest of the loan = $5363.27

Thus, the monthly payments for the loan amount $10,000 is $132.56 and the total interest for the loan is $5363.27.

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Answer:

It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest

Step-by-step explanation:

Answer:

I don't get it the two triangles look the same

Step-by-step explanation:

Let's call the first odd integer "x". Then, the second, third, and fourth odd integers will be x+2, x+4, and x+6, respectively.

According to the problem statement, we can set up the following equation:

x+6 - (x+4) = 2(x + (x+2)) + 2

Simplifying this equation, we get:

2x + 2 = 4x + 6

Subtracting 2x+6 from both sides, we get:

-4 = 2x

Dividing both sides by 2, we get:

x = -2

So the four consecutive odd integers are:

-2, 0, 2, 4

However, these are not actually odd integers! So we made a mistake somewhere. Let's try again.

We can start over by using algebra. We know that the difference between the fourth and third odd integers is 2 more than twice the sum of the first two odd integers. In other words:

(x+6) - (x+4) = 2(x + (x+2)) + 2

Simplifying this equation, we get:

2 = 4x + 8

Subtracting 8 from both sides, we get:

-6 = 4x

Dividing both sides by 4, we get:

x = -3/2

So the four consecutive odd integers are:

-3, -1, 1, 3

And indeed, we can see that the difference between the fourth and third integers is twice the sum of the first two integers plus 2:

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

2 = 2(-5/2) + 2

2 = -5 + 2

2 = 2

So our answer is:

-3, -1, 1, 3

Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 20.66, \sigma = 2.4\)

The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{21 - 20.66}{2.4}\)

Z = 0.14

Z = 0.14 has a p-value of 0.5557.

1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

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Answer:

(5,10)  The three points lie in a straight line

Step-by-step explanation

its correct

Answer:

1-

(5, 10)

2-

The three points lie in a straight line

Step-by-step explanation:

Took the assignment on Edge2020

I think the answer is D

bvmnb n m mn

b bn. Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

ye

Answer:

n + 15 > (2n) / 3

The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

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