Cheryl thinks that the
following expressions are
equivalent:
3x + 3 = 3 + 3x + 0
Is Cheryl right? If so,
prove that these two
expressions are
equivalent. If not, what
error(s) did Cheryl make?

Answer:

X has an infinite number of solutions

or

0 = 0

Step-by-step explanation:

Hey there!

Given,

523x = 523x

Simplify

523x = 523x

-523x to both sides

0 = 0

So x has an infinite number of solutions.

Hope this helps :)

Answer:

subtract 2

Step-by-step explanation:

Answer: subtract  2

Step-by-step explanation: 5-2=3

3+2=5

Answer:

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

We have

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

We have the final answer as

Hope this helps you

Answer:

8x−3

Step-by-step explanation:

HOPE THIS HELPS!!!! :)

<3333333333

Answer:

The answer is No, he's incorrect

Step-by-step explanation:

Because -5.0 is still -5 so therefore it makes -5.0 an integer

Answer:

[tex]11n-1=120[/tex]

Step-by-step explanation:

It is given that,

Length of each brick = 10 inches

Mortar between between each brick = 1 inch

For 2 bricks, we need mortar once.

For 3 bricks, we need mortar 2 times.

For 4 bricks, we need mortar 3 times.

Similarly,

For n bricks, we need mortar (n-1) times.

Total length of n bricks = 10n inches

Total length of (n-1) times mortar = 1(n-1) = n-1 inches

Total length of wall = 10n + (n-1) inches.

1 feet  = 12 inches

10 feet = 120 inches

The equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long.

[tex]10n+(n-1)=120[/tex]

[tex]11n-1=120[/tex]

Therefore, the required equation is [tex]11n-1=120[/tex].

Answer:

$0.00

Step-by-step explanation:

$20.00-$20.00=$0.00

Answer:

The travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.

Step-by-step explanation:

We are given that the average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes.

Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.

Let X = the distribution of travel time

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = average travel time = 17 minutes

            [tex]\sigma[/tex] = standard deviation = 4.5 minutes

So, X ~ Normal([tex]\mu=17, \sigma^{2} =4.5^{2}[/tex])

Now, we have to find the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times, that means;

            P(X < x) = 0.08      {where x is the required travel time}

            P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{x-17}{4.5}[/tex] ) = 0.08

            P(Z < [tex]\frac{x-17}{4.5}[/tex] ) = 0.08

In the z table the critical value of z that represents the below 8% of the area is given by -1.43, that is;

                         [tex]\frac{x-17}{4.5}=-1.43[/tex]

                         [tex]{x-17}{}=-1.43\times 4.5[/tex]

                         x = 17 - 6.435 = 10.6 minutes

Hence, the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.

Answer:

3x3

Step-by-step explanation:

G is a 3 x 4 matrix and His a 4x 3 matrix

In multiplication of matrix a particular formula is used

If G = MN and H = NM then GH = MM

So G= 3x4 and H = 4x3

Then GH = 3x3

The above rule is a rule that binds matrix multiplication and allows for an easier calculations and also helps check the possibility of the multiplication.

As for the above, the multiplication is possible an the result of the multiplication will give us a 3x3 matrix

Answer:

Step-by-step explanation:

Actually, -13 can be classified as any and all of these.

Answer:-13 would be considered a rational number :)

Step-by-step explanation:

Only positive numbers are considered as whole numbers, so we know that that is not a correct option, and an integer is any number that is not either a decimal or a fraction. Hope this helps :)

Answer:

a+b=C

Step-by-step explanation:

because a b c  

Answer:

Qualitative variable.

See explanation below.

Step-by-step explanation:

In research we have two types of variables: the quantitative and the qualitative variables.

In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.

Answer: See below

Step-by-step explanation:

A.

Let's split the integral into two parts, by the Sum Rule.

[tex]\int\limits {x-4x^3} \, dx[/tex]                              [split into 2 integrals]

[tex]\int\limits {x} \, dx -\int\limits {4x^3} \, dx[/tex]                      [solve integral for each part]

[tex]\frac{1}{2} x^2-x^4+C[/tex]                            [Remember, we need to add C for constant]

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

B.

[tex]\int\limits {\frac{1+x}{\sqrt{x} } } \, dx[/tex]                                    [expand into 2 integrals]

[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\frac{x}{\sqrt{x} } } \, dx[/tex]                    [simplify second integral]

[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\sqrt{x} } \, dx[/tex]                    [solve integral for each part]

[tex]2\sqrt{x} +\frac{2}{3}x^3^/^2+C[/tex]

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

C.

[tex]\int\limits^4_0 {z(z^1^/^2-z^-^1^/^2)} \, dz[/tex]                [distribute]

[tex]\int\limits^4_0 {z^3^/^2-z^1^/^2} \, dz[/tex]                       [split into 2 integrals]

[tex]\int\limits^4_0 {z^3^/^2} \, dz -\int\limits^4_0 {z^1^/^2} \, dxz[/tex]              [solve integral for each part]

[tex]\frac{64}{5} -\frac{16}{3}[/tex]                                     [solve]

[tex]\frac{112}{15}[/tex]

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

D. *Note: I can't put -1 for the interval, but know that the 1 on the bottom is supposed to be -1.

[tex]\int\limits^1_1 {(1+u)(1-u)} \, du[/tex]                  [expand]

[tex]\int\limits^1_1 {1-u^2} \, du[/tex]                              [split into 2 integrals]

[tex]\int\limits^1_1 {1} \, du-\int\limits^1_1 {u^2} \, du[/tex]                      [solve integral for each part]

[tex]2-\frac{2}{3}[/tex]                                      [solve]

[tex]\frac{4}{3}[/tex]

Answer:

21 boys

Step-by-step explanation:

 Girls            Boys

     6                  7            <= reflects the 6:7 ratio mentioned in the problem

----------   =    ----------

     18                 x

Cross multiply to determine x:  

6x = 7(18), or x = 7(3), or x = 21

There are 21 boys when we have 18 girls.

Answer:

  $10,625.99

Step-by-step explanation:

The future value formula is useful for this.

  FV = P(1 +r/n)^(nt)

where interest at rate r is compounded n times per year for t years. P represents the principal invested.

  FV = $10,000(1 +.03/4)^(4·2) = $10000(1.0075^8) ≈ $10,625.99

The accumulated value will be $10,625.99.

Answer:

Option C : P = $1040

Step-by-step explanation:

Using formula for continuous compounding, we have;

FV = Pe^(rt)

Where;

FV is the future value

P is the starting principal

r is the interest rate

t is time period

Now, from the question;

After 9 years, value is 1,866.79

Hence;

Pe^(9r) = 1,866.79 - - - eq1

Also, after 18 years;

Pe^(18r) = $3,350.87

Now, from exponential functions,

e^(4) can be written as (e^(2))²

Thus,in our case, e^(18r) can simply be written as (e^(9r))²

Thus, we can write Pe^(18r) = $3,350.87 as;

P(e^(9r))² = 3,350.87 - - - eq3

Thus, dividing eq 1 by eq 3 gives;

P(e^(9r))²/Pe^(9r) = 3350.87/1866.79

e^(9r) = 1.794990331

So;

In 1.794990331 = 9r

r = 0.585/9

r = 0.065

Putting this for r in equation 1 gives;

Pe^(9 × 0.065) = 1,866.79

1.795P = 1,866.79

P = 1866.79/1.795

P = $1040

Answer:

slope = -5/2

the y-intercept is the point (0, 3)

Step-by-step explanation:

Notice the equation is given to you already in slope-intercept form, o you can extract those values directly:

Slope is the factor accompanying the variable x , that is the fraction -5/2 and the y value of the y-intercept is the "+3" that follows.

So the slope = -5/2

and the y-intercept is the point (0, 3) because x must be always  zero when the line intersects the y-axis.

Answer:

-83

Step-by-step explanation:

25-(4-1)*(3-9)^2  [tex]\sqrt{16} =4[/tex]

25-(3)*(-6)^2   4-1=3   3-9=-6

25-3*36  -6*-6=36

25-108   3*36=108

-83

Answer:

60 maths books

Step-by-step explanation:

Let the following be:

And we have ratios and sum:

From the ratios we get:

Considering the above in the sum of books:

Number of maths books:

Evaluate f(9) + f(5)= 14f If I didn't answer Your Question fully than tell me please!

Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.

Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.

The value of b determines the period of the sinusoidal function.

Answer:

Square: 484 Square root: 4.690

Complete Question

The complete question is shown on the uploaded image  

Answer:

1 ) The correct option B

2) The correct option is  C

3)  The correct option is  C

4)  The correct option is  C

Step-by-step explanation:

From the question we are told that

   The proportion that own a cell phone  is  [tex]p = 0.90[/tex]

    The  sample  size is  n =  15

Generally the appropriate distribution for X is mathematically  represented as

      [tex]X \ is \ B( n , p )[/tex]

So  

       [tex]X \ is \ B( 15 , 0.90 )[/tex]

Generally the number students that  own a cell phone in a simple random sample of 15 students is mathematically represented as

              [tex]\mu = n * p[/tex]

              [tex]\mu = 15 * 0.90[/tex]

              [tex]\mu = 13.5[/tex]

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

                [tex]\sigma = \sqrt{ n * p * q }[/tex]

Where  q is mathematically evaluated as

          [tex]q = 1- p[/tex]

           [tex]q = 1- 0.90[/tex]

           [tex]q = 0.10[/tex]

            [tex]\sigma = \sqrt{ 15 * 0.90 * 0.10 }[/tex]

            [tex]\sigma = 1.16[/tex]

Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

   [tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}[/tex]    

     [tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}[/tex]

From the combination calculator  is      [tex]\left 15} \atop {}} \right.C_{15} = 1[/tex]

     [tex]P(X = 15) = 1 * 0.205891 * 1[/tex]

      [tex]P(X = 15) = 0.206[/tex]

The appropriate distribution for X is M(15, 0.9).

On average 1.345 students will own a cell phone in a simple random sample of 15 students.

The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.

The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.

Given that,

The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years.

It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university.

Assume that the proportion of students who own a cell phone at this university is the same as nationwide.

According to the question,

Let X = the number of students in the sample of 15 who own a cell phone.

1. The appropriate distribution for X is,

the sample size is n equals 15 and the proportion of the cell phone is 90% = 0.9.

The appropriate distribution for X is M(15, 0.9).

2. On average students will own a cell phone in a simple random sample of 15 students is,

[tex]\mu = n \times p\\\\\mu = 15 \times 0.9\\\\\mu = 1.345[/tex]

On average 1.345 students will own a cell phone in a simple random sample of 15 students.

3. The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is,

[tex]\rm \sigma = \sqrt{n \times p \times q}\\\\\sigma = \sqrt{n \times p \times (1-q)}\\\\\sigma = \sqrt{15 \times 0.9 \times (1-0.9)}\\\\\sigma = \sqrt{15 \times 0.9 \times 0.1}\\\\\sigma = 1.16[/tex]

The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.

4. The probability that all students in a simple random sample of 15 students own a cell phone is,

[tex]\rm P(X=15) = 15_C_{15} \times p^{15} \times q^{15-15}\\\\P(X=15) = 1 \times (0.90)^{15 }\times (0.10)^0\\\\P(X=15) = 1 \times 0.206\times 1\\\\P(X=15) = 0.206[/tex]

The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.

For more details refer to the link given below.

https://brainly.com/question/17521208

Answer:

12

Step-by-step explanation: Given:1st no. is 3

3×8=24

24+6=30

30/2=15

15-3=12

therefore,ans is 12

Answer:

The result is 12.

Step-by-step explanation:

3×8=24

24+6=30

30÷2=15

15-3=12

Hope it helps :)

Answer:

True

Step-by-step explanation:

1000 grams = 1 kilogram

Answer:

Kathy = J - 5 cm

Step-by-step explanation:

Jo = 5 + Kathy

Jo = J

Kathy = K

=> J = 5 + K

=> J - 5 = 5 - 5 + K

=> J - 5 = K

=> K = J - 5

So, Kathy's height is J - 5 cm

Answer:

w = p/2 - l

Step-by-step explanation:

When a question asks to be solved by a variable it means to get that variable on one side.

To do this lets first divide each side by 2 making the equation now ...

(l + w) = p/2

Now all we have to do is subtract l on both sides. Now we know that

w = p/2 - l

Answer:

8

Step-by-step explanation:

So we have the expression:

[tex](-\frac{11}{2}x+3)-2(-\frac{11}{4}x-\frac{5}{2})[/tex]

First, distribute the right:

[tex]=(-\frac{11}{2}x+3)+(\frac{11}{2}x+5)[/tex]

Combine like terms:

[tex]=(-\frac{11}{2}x+\frac{11}{2}x)+(3+5)[/tex]

The fractions will cancel:

[tex]=3+5[/tex]

Add:

[tex]=8[/tex]

Our answer is 8 :)

Answer:

8

Step-by-step explanation: