Scientific notation

Answer:

12

Step-by-step explanation:

Answer:

28+32e and 4 (8e+7)

Step-by-step explanation:

I did the quiz

The expressions equivalent to 3 (6e + 4) + 8 (e + 2) + 6e are : 4(8e + 7) And 28 + 32e

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions. To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

Given the expression as;

3 (6e + 4) +8 (e + 2) + 6e.

Expand the brackets ;

18e + 12 + 8e + 16 + 6e

Now Collect like terms together and simplify;

=18e + 8e + 6e + 12 + 16

=32e + 28

=28 + 32e

Then factorizing the result, we have;

32e + 28 = 4(8e + 7)

The expressions equivalent to 3 (6e + 4) + 8 (e + 2) + 6e are : 4(8e + 7) And 28 + 32e

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Answer:

b

Step-by-step explanation:

-a-(a-b)

Distribute the negative sign to get -a+a+b

-a cancels out a, and you're left with b.

Answer:a²-ab

Step-by-step explanation:

since the negative symbol is on the outside of the parenthesis all values inside the parenthesis get reversed. so:

-a(-a+b)

Then multiply by -a:

a²-ab

The value of x such that x - 4 and 2x + 1 are angles on a line is 61

x - 4 and 2x + 1 are angles on a line.

Using the theorem of sum of angles on a line that states that:

When two angles are on a line, they add up to 180 degrees.

So we have:

x - 4 + 2x + 1 = 180

Simplifying and solving for x:

3x - 3 = 180

So, we have

3x = 183

Divide both sides by 3

x = 61

Therefore, x = 61 is the value that makes x - 4 and 2x + 1 angles on a line.

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Answer:

A

Step-by-step explanation:

Here, we want to find the value farthest to the right here.

What this means is that we want the value that is most positive. The values farthest to the right side are the most positive;

A is 10-(-7) = 17

B is 3

C is -17

D is -3

The value farthest to the right is 17 which is A and it is the most positive value

The composite result function (f o g) and (g o f ) the given functions f(x) = x/(x-7) and g(x) = 5/x are 5/(5 - 7x ) and (5(x - 7))/x respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, set up the composite result function ( f o g ).

( f o g ) = f( g(x) )

( f o g ) = f( g(x) )  = 5/x / ( (5/x) - 7 )

Simplify

( f o g ) = 5/x / ( (5/x) - 7 )

( f o g ) = 5/x × 1/( (5/x) - 7 )

( f o g ) = 5/x × x/(5 - 7x )

( f o g ) = 5/(5 - 7x )

Next, we find ( g o f ).

( g o f ) = g( f(x) ) = 5 / ( x/ (x - 7) )

Simplify

( g o f ) = 5 / ( x/ (x - 7) )

( g o f ) = 5 × (x - 7)/x

( g o f ) = (5(x - 7))/x

Therefore, the composite result function ( f o g ) equals 5/(5 - 7x ) and ( g o f ) equals (5(x - 7))/x.

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Answer:

2 1/3, 2 1/4, 2 3/7

Step-by-step explanation:

Mixed Fractions

Mixed fractions are made of an integer part followed by a proper fraction.

Some examples of mixed fractions are:

3 1/2, -4 5/8, 2 2/3

Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.

In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.

We can select any number with integer part 2 and a proper fraction less than 1/2.

Examples could be :

2 1/3, 2 1/4, 2 3/7

All of them are less than 2.5

Answer:

Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average cumulative debt of recent college graduates is about $22,500, standard deviation of $7,000.

This means that \(\mu = 22500, \sigma = 7000\)

Proportion more than 30000.

1 subtracted by the pvalue of Z when X = 30000. So

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

\(Z = \frac{30000 - 22500}{7000}\)

\(Z = 1.07\)

\(Z = 1.07\) has a pvalue of 0.8577

1 - 0.8577 = 0.1423

Approximately how many recent college graduates have accumulated a student loan of more than $30,000?

0.1423 out of 1.8 million.

0.1423*1.8 = 0.25614 million = 256,140

Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.

Step-by-step explanation:

p+4<-24

collect like terms

p<-28

\(\\ \rm\Rrightarrow p+4<-24\)

\(\\ \rm\Rrightarrow p<-24-4\)

\(\\ \rm\Rrightarrow p<-28\)

So

\(\\ \rm\Rrightarrow p\in (-\infty,-28)\)

Answer:

Here you go: When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.

Step-by-step explanation:

Answer: 8000

Step-by-step explanation:

The 8 in the number 348,000 is in the thousands place.

So it represents the value of 8,000 .

Answer:

8.5 and 10 are the answers looks like u had them in

Answer:

1.42

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.42

Step-by-step explanation:

The statements that are true are:

The radius of the circle is 3 units.

The center of the circle lies on the x-axis.

The standard form of the equation is (x - 1)^2 + y^2 = 3.

To analyze the given equation of the circle, x^2 + y^2 - 2x - 8 = 0, we can rearrange it to determine its properties.

The radius of the circle is 3 units:

To find the radius, we compare the equation to the standard form of a circle, (x - h)^2 + (y - k)^2 = r^2. Here, the equation can be rewritten as (x - 1)^2 + y^2 = 9, which matches the standard form. Therefore, the radius is indeed 3 units.

The center of the circle lies on the x-axis:

By comparing the equation to the standard form, we notice that the center has coordinates (1, 0). Since the y-coordinate is 0, it lies on the x-axis.

The center of the circle lies on the y-axis:

From the equation, we observe that the x-coordinate of the center is 1, while the y-coordinate is 0. Therefore, the center lies on the x-axis, not the y-axis.

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Answer:

Step-by-step explanation:

12

Answer:

b think if I'm wrong let me know

Answer:

\(Mean = 7\)

Step-by-step explanation:

Given

\(Data: 2, 4, 6, 12, 8, 10.\)

Required

Determine the mean

The mean of a data is calculated as thus:

\(Mean = \frac{\sum x}{n}\)

In this case:

\(n = 6\)

So, the formula becomes:

\(Mean = \frac{2+4+6+12+8+10}{6}\)

\(Mean = \frac{42}{6}\)

\(Mean = 7\)

the linear equation perpendicular to y = (-1/2)*x - 5 and that passes through (2, 7) is:

y = 2*x + 3

We want to find a linear equation perpendicular to y = (-1/2)*x - 5, so the slope of our line must be the opposite of the inverse of the above slope, then our line will be something like:

y = 2x + c

To find the value of c, we use the fact that the line passes through (2, 7), then replacing these values, we get:

7 = 2*2 + c

7 = 4 + c

7 - 4 = c

3 = c

So the linear equation is:

y = 2*x + 3

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Answer:

The answer is y=2x+3

Step-by-step explanation:

I just got it right on the test

Answer:

The answer is A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3x-10>2

get x alone

3x>12

x>4

5x-15<-5

5x<10

x<2

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

A

Step-by-step explanation:

\( \tan(10) = \frac{x}{86} \\ x = 86 \tan(10) \\ x = 15.2\)

Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

the variance will be 0.6217.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

A small data analysis class has six computer science majors among the fourteen total students.

Three people are chosen at random to form a group.

here this is hypergeometric distribution with parameter n=sample size =3 ; N =population size =14

and k=computer sience major =6

a) E(X) =nk/N =3*6/14 =18/14 =9/7 =1.2857

b)|varaince =σ²=(nk/N)*(1-k/N)*(N-n)/(N-1)) =(3*6/14)(1-6/14)*(14-3)/(14-1)= 0.6217

Hence, the variance will be 0.6217.

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Answer:

x=-4

Step-by-step explanation:

-2x=5+3

-2x=8

x=-4

hope this helps!

Answer:

It’s siu

Step-by-step explanation:

Answer:x≤4.6

Step-by-step explanation: 2x-6(x-3)≥5. 1).combine the like terms. 2x+x=3x & -6+-3=-9. 2). isolate the "x". 3x-9≥5. 3x≥14. 3). divide both sides by your coefficient. 3x≥14/ 3

x≥4.6

4) flip your sign. x≤4.6