is 1 (b+6) equivalent to (b+6)

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

Step 1: Write out expressions

1(b + 6) = b + 6

Step 2: Distribute 1

b + 6 = b + 6


Related Questions

70.4 is what percent of 88?

Answers

Answer:

70.4 is 80% of 88

choose the congruent angles on the triangle shown below

Answers

Answer:

I think it would be angles A and B.

Hope this helps!

Evaluate the following expressions.
1. |2x + 7| + |1 - 2x^2| - 4x, given x = 3

Answers

Answer:

It should be -8 please let me know if I am right

Step-by-step explanation:

(2*3+7)+(1-2*3^2)-4*3

(6+7)+(-3^2)-12

13+-9-12

=-8

A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt. P (X equals k )equals (1 minus p )to the power of k minus 1 end exponent p Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt

Answers

This question is incomplete, the complete question is;

A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt.

p(x=k) = p^k (1-p)^k-1

Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt? Each attempt is independent of each other and answer choices are rounded to the hundredths place.

a.) 0.04

b.) 0.60

c.) 0.40

d.) 0.10

Answer: a.) 0.04

Step-by-step explanation:

Given that;

The basketball player has 60% accuracy of  free throws

Now the probability of the player successfully making a free throw on the fourth attempt.

probability of success p = 0.60

number of failure k = 3

the given p.d.f of geometric distribution p(x=k) = p^k (1-p)^k-1

{ 0 <p<= 1 , k=0,1,2,3... }

we substitute our given data

p(x=3) = 0.60^3 (1-0.6)^3-1

= (0.60)^3 (0.40)^2

= 0.216 * 0.16

= 0.035 = 0.04 ( OPTION A)

Use integration by parts to evaluate the indefinite integral
[ 2x sin(c) dx

Answers

Answer:

-2x cos x + 2 sin x + C

Step-by-step explanation:

∫ (2x sin x) dx

If u = 2x, then du = 2 dx.

If dv = sin dx, then v = -cos x.

∫ u dv = uv − ∫ v du

= 2x (-cos x) − ∫ (-cos x) (2 dx)

= -2x cos x + 2 ∫ cos x dx

= -2x cos x + 2 sin x + C

Answer:

[tex]\displaystyle \large{2 \sin x - 2x \cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:

[tex]\displaystyle \large{\int {2x \sin x} \ dx }[/tex]

Using by-part method, we have to substitute u-term and dv appropriately.

By-part is an integration of product rules, when integrated the product rules of differentiation, we’ll obtain:

[tex]\displaystyle \large{\int {u} \ dv = uv - \int {v} \ du}[/tex]

Above is by-part method/formula.

Where 4 terms are presented:

ududvv

Our main terms to substitute are u and dv which mean u-term has to be a function that’s differentiatable and dv has to be a function that’s integratable.

The main concept of by-part is to understand how to substitute appropriately which you can simply follow below:

LIATE

Stands for Logarithm, Inverse (Trigonometry), Algebraic, Trigonometric and Exponential.

These are in orders from first to last on what to let u-term first. That means logarithm functions must be the first to substitute themselves as u-term, so if you encounter a logarithmic function and a polynomial function, you must let u = logarithmic function while dv = polynomial.

In this case, we have 2x which is polynomial and sin(x) which is trigonometric. According to LIATE, we have to let Algebraic or Polynomial 2x be first to substitute as u-term, that means our dv is trigonometric sin(x).

Therefore, we have:

u = 2xdu = 2dx dv = sin(x)dxv = -cos(x)

Now, substitute these terms in accordingly to formula of by-part.

[tex]\displaystyle \large{\int {2x \sin x} \ dx = 2x \cdot (-\cos x) - \int {-\cos x \cdot 2 \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + \int {2 \cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \int {\cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \cdot \sin x + C}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \sin x + C}[/tex]

__________________________________________________

Summary

  Property

[tex]\displaystyle \large{ \int {k f(x)} \ dx = k \int{f(x)} \ dx \ \ \ \ \tt{(k \ \ \ is \ \ \ a \ \ \ constant.)}\\[/tex]

Only shown in explanation.

  By-Part

[tex]\displaystyle \large{\int u \ dv = uv- \int v \ du}[/tex]

  LIATE

The functions in order that should be u-term from first to last.

Logarithm Inverse Trigonometric

These functions above do not have integration formula by default.

Polynomial (Algebraic)TrigonometricExponential (Last since it’s the easiest to integrate, especially natural exponential)

  Indefinite Integral

Make sure to always add + C after evaluating the integral, regardless what multiplies or attempts to affect + C, we must always add + C.

__________________________________________________

Please help!! I’ve tried to answer this but I’m off a few cents every time.

Megan’s aunt have her a $100 gift card to Toys R Us for her birthday. Determine the price of the most expensive toy that Megan can buy with this gift card if the sales tax is currently 9.8%

Answers

Answer:

$91.07

Step-by-step explanation:

You cannot take off 9.8% from $100 to find the answer, since 9.8% of $100 is more tax than she will pay. The toy has to cost less than $100, so that when you add 9.8% tax the price you end up with exactly $100, and 9.8% of under $100 is less that 9.8% of $100. Maybe this is why you are a few cents off.

This is how you do it.

The price of the toy is unknown, so we'll cal it x.

When you add 9.8% tax to x, you want to end up with exactly $100.

x + 9.8% of x = 100

Write 9.8% as a decimal by dividing the percent by 100.

9.8% = 9.8/100 = 0.098

Now we have:

x + 0.098x = 100

Add like terms on the left side:

1.098x = 100

Divide both sides by 1.098:

x = 100/1.098

x = 91.07

Answer: The most expensive toy she can get costs $91.07 before tax.

Check:

We now add 9.8% tax to $91.07 and make sure the total cost including tax  is no more than $100.

$91.07 + 9.8% of $91.07 =

= $91.07 + 0.098 * $91.07

= $91.07 + $8.92

= $99.99

It seems that you could try to spend one more cent, to really get to the $100 limit, so let's try $91.08 as the most expensive toy she can buy.

We now add 9.8% tax to $91.08 and see what the total cost including tax is.

$91.08 + 9.8% of $91.08 =

= $91.08 + 0.098 * $91.08

= $91.08 + $8.93

= $100.01

You see that if Megan gets a $91.08 toy, with tax, the total cost is $100.01, which is over the $100 limit, so the answer is indeed $91.07.

What is the value of -42 +(5-2)(-6)?

Answers

Answer:

-60

Step-by-step explanation:

-42+3×(-6)

-42-(3×6)

-42-18

-60

Simplify 7^8 divided by 7^4

Answers

Answer:

2401 is your answer hope this helps

Rewrite the expression 7 to the -2 power

Answers

Answer:

1/49

Step-by-step explanation:

7^-2

1/49

7^2 is usually 49 for negative exponents just flip it

Answer:

(7)^-2

Step-by-step explanation:

hope this helps

Javon and Ivy are both given the equation 5-2x-1/3=4, Javon thinks the first step is -2x-1/3=9. Ivy thinks the first step is -2x-1/3=-1. Who is incorrect and why?

Answers

Answer:

Javon is incorrect

Step-by-step explanation:

You have to subtract 5 both sides to move it to the other side:

5 -2x -1/3 = 4

5 - 5 - 2x - 1/3 = 4 -5

-2x - 1/3 = -1

Answer:

Javon is incorrect because he didnt subtract 5 from both sides, or add -5

Step-by-step explanation:

I had this question

If a side of a square is 10 what the other sides will be

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

all sides are equal

Some number added to 17

Answers


Seria:
x.x=30
2x=30
x=30/2=15
x+x=17
15+x=17
x=17-15
x=2
Reemplazamos:
15+2=17

what is the reciprocal of 15 1/4

Answers

The reciprocal of 15 1/4 is 4/61

Step-by-step explanation:

15 1/4 multiply 15 by 4 and then add 1 it will give you 61/4 then you change into reciprocal which will be 4/61

2. When people decide what makes a fair trade, like exchanging 2 chickens for 2 sheep, they are
(1 point)
Onegotiating
O exporting
O importing
O rating

Answers

Answer:

negotiating

Step-by-step explanation:

negotiating

Answer:

B. negotiating

Step-by-step explanation:

Why did I get this question wrong?

Answers

Step-by-step explanation:

∫ 9 arctan(1/x) dx

If u = 9 arctan(1/x), then:

du = 9 / (1 + (1/x)²) (-1/x²) dx

du = -9 dx (1/x²) / (1 + (1/x²))

du = -9 dx / (x² + 1)

If dv = dx, then v = x.

∫ u dv = uv − ∫ v du

= 9x arctan(1/x) − ∫ -9x dx / (x² + 1)

= 9x arctan(1/x) + 9/2 ∫ 2x dx / (x² + 1)

= 9x arctan(1/x) + 9/2 ln(x² + 1)

Evaluate from x=1 to x=√3.

[9√3 arctan(1/√3) + 9/2 ln(3 + 1)] − [9 arctan(1) + 9/2 ln(1 + 1)]

[9√3 (π/6) + 9/2 ln(4)] − [9 (π/4) + 9/2 ln(2)]

(3π√3)/2 + 9/2 ln(4) − (9π/4) − 9/2 ln(2)

(6π√3)/4 + 9 ln(2) − (9π/4) − 9/2 ln(2)

(6π√3 − 9π)/4 + 9/2 ln(2)

Answer:

[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]

Step-by-step explanation:

We are given the integral 9 arctan(1/x)dx on the interval x[ from 1 to √3 ].

Now let's say that u = arctan(1/x). The value of 'du' would be as follows:

du = - x / (1 + x²) * dx

If we apply integration by parts, v = 1, and of course u = arctan(1/x):

=> 9x arctan(1/x) − ∫ -9x dx / (x² + 1)

=> 9[x arctan(1/x) - ∫ - x / (1 + x²) * dx] on the interval x[ from 1 to √3 ]

Let's now simplify the expression ' ∫ - x / (1 + x²) * dx':

=> (Take the constant out, in this case constant = - 1), - ∫ x / (1 + x²) * dx

=> (Apply u-substitution, where u = 1 + x²), - ∫ 1/2u * du

=> (Take constant out again, in this case 1/2), - 1/2 ∫ 1/u * du

=> (Remember that 1/u * du = In( |u| )), - 1/2In( |u| )

=> (Substitute back 'u = 1 + x²), - 1/2In| 1 + x² |

So now we have the expression '9[x arctan(1/x) + 1/2In| 1 + x² |]' on the interval x[ from 1 to √3 ]. Let's further simplify this expression;

[tex]9\left[x\arctan \left(\frac{1}{x}\right)+\frac{1}{2}\ln \left|1+x^2\right|\right]^{\sqrt{3}}_1\\\\=> 9\left[\frac{1}{2}\left(2x\arctan \left(\frac{1}{x}\right)+\ln \left|1+x^2\right|\right)\right]^{\sqrt{3}}_1[/tex]

Now computing the boundaries we have the following answer:

[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]

17. Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . . options: A) f(n) = 12 + 2(n − 1) B) f(n) = 12 + 2(n + 1) C) f(n) = 2 + 12(n + 1) D) f(n) = 2 + 12(n − 1)

Answers

Answer:

A) f(n) = 12 + 2(n-1)

Step-by-step explanation:

Arithmetic Sequence Formula:

a(n) = a(1) + (n-1)d

d = 2

a(1) = 12

a(n) = 12 + 2(n-1)

Answer:

Step-by-step explanation:

A) f(n) = 12 + 2(n-1)

A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

D. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]7.5d = 2.5d[/tex]

Analyzing Lin's

[tex]\frac{7.5d}{2.5d} = \frac{2.5d}{2.5d}[/tex]

[tex]3 = 1[/tex]

This isn't a solution because [tex]3 \neq 1[/tex]

Analyzing Elena's

[tex]7.5d - 2.5d= 2.5d-2.5d[/tex]

[tex]5d = 0[/tex]

Divide through by 5

[tex]d = 0[/tex]

Hence;

Going by the analysis above; only Elena's  move will lead to a solution

wish of the following is most likely the next step in the series? A4a,b8B,C12c,d16D

Answers

E20e

Pattern is capital letter then next letter is lowercase. Each number is a multiple of 4 and the other multiplier increases by 1 every time. ex- 4(2)=8 and 4(3)=12.


Evaluate the expression |- 178|

Answers

the lines mean that the number is going to become positive. |-178| will become positive meaning it will become= |178|

Answer:

178

Step-by-step explanation:

Question 4
Subtract.
-20 - 10
Help:(

Answers

Answer:

-20 - 10 = -30

Answer: -30

Step-by-step explanation: basically -20 + -10 = -30

Given two independent random samples with the following results:n1=13x‾1=186s1=33 n2=13x‾2=171s2=23Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Complete Question

Given two independent random samples with the following results:

   

[tex]n_2=13\ , \= x_2=171\ s_1=23[/tex]  

Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.

Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Step 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest whole number.

Answer:

Step 1 of 3:

    [tex]\= x_p  =  15[/tex]

Step 2 of 3:

    [tex]E =7.79[/tex]

Step 3 of 3:

   [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]

Step-by-step explanation:

Now considering the Step 1 of 3, the  point estimate that should be used in constructing the confidence interval  is mathematically represented as  

        [tex]\= x_p = \= x_1 - \= x_2[/tex]

=>     [tex]\= x_p = 186 - 171[/tex]

=>     [tex]\= x_p = 15[/tex]

Now considering the Step 2 of 3

Given that the confidence level is  90% then the level of significance is mathematically represented as

     [tex]\alpha = (100-90)\%[/tex]

=>    [tex]\alpha = 0.10[/tex]

Generally the degree of freedom is mathematically represented as

        [tex]df = n_1 + n_2 - 2[/tex]

=>    [tex]df = 13 + 13 - 2[/tex]

=>   [tex]df = 24[/tex]

From the student t-distribution table the critical value of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df = 24 \ is \ \ t_{\frac{\alpha }{2} ,df} = 1.711[/tex]

Generally the pooled variance is mathematically represented as    

  [tex]s_p^2 = \frac{ (13 -1 ) 33^2 + (13 -1 ) 23^2 }{(13 - 1 )(13 - 1)}[/tex]

         [tex]s_p^2 = 134.83 [/tex]

Generally the margin of error is mathematically represented as

  [tex]E = t_{\frac{\alpha }{2} ,df } * \sqrt{\frac{s_p^2}{n_1} +\frac{s_p^2}{n_2} }[/tex]

=>     [tex]E = 1.711* \sqrt{\frac{134.83}{13} +\frac{134.83}{13}}[/tex]

=>     [tex]E =7.79[/tex]

Now considering the Step 3 of 3

Generally the 90% confidence interval is mathematically represented as

              [tex]\= x_p -E < \mu_1 - \mu_2 < \= x_p +E[/tex]

=>  [tex] 15 -7.79 < \mu_1 - \mu_2 < 15 +7.79[/tex]

=>  [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]

Demi traveled 480 miles in 6 hours. What was her average speed in miles per hour?

Answers

The classic formula relating rate (also called “average speed”), time and distance is:

r x t = d

That is, rate x time equals distance. The problem statement asks us for the rate and gives us the time (6 hours) and distance (480 miles). We can substitute those values into the classic formula:

r x 6 hours = 480 miles

To solve for r, we divide the terms on both sides of the equal sign by 6 hours. This works because the two sides are equal and we treat them equally by dividing the two sides by the same amount, so the results should be equal. Thus we get:

r = 480 miles/6 hours

Simplifying, we get:

r = 80 miles/hour

To CHECK, let’s plug back into the original equation:

r x t = d

80 miles/ hour x 6 hours = 480 miles

480 miles = 480 miles which is true. Yippee.

What value of x that satisfies the equation 7/n=8/7

Answers

Multiple both sides by 7 so (7)(7/n)=8 which equals 49/n=8. Next multiply by n so 49=8n then divide by 8 so n=6.125

If 15 books cost $90, what is the unit price?

Answers

Answer:

$6/ book

Step-by-step explanation:

Unit price = Total cost/ total number of items

                = 90/15

                =$6 per book

$6
explanation: 6*15 is 90

PLEASE ANSWER ILL GIVE YOU BRAINLIST AND A THANK YOU! Question: 20.155 rounded to the nearest tenth

Answers

It wont let me just put the number

20.2

Answer:

20.2

Step-by-step explanation:

because 155 can be rounded to 200 and you can take the zeros off

The midpoint of PQ is at (6,5) and point P is at (4,9).
What are the coordinates of point Q?

Answers

Answer:

B. (8, 1)

Step-by-step explanation:

Given M(6, 5) as midpoint of PQ, and P(4, 9),

let [tex] P(4, 9) = (x_2, y_2) [/tex]

[tex] Q(?, ?) = (x_1, y_1) [/tex]

[tex] M(6, 5) = (\frac{x_1 + 4}{2}, \frac{y_1 + 9}{2}) [/tex]

Rewrite the equation to find the coordinates of Q (x1, y1):

[tex] 6 = \frac{x_1 + 4}{2} [/tex] and [tex] 5 = \frac{y_1 + 9}{2} [/tex]

Solve for each:

[tex] 6 = \frac{x_1 + 4}{2} [/tex]

Multiply both sides by 2

[tex] 6*2 = \frac{x_1 + 4}{2}*2 [/tex]

[tex] 12 = x_1 + 4 [/tex]

Subtract 4 from both sides

[tex] 12 - 4 = x_1 + 4 - 4 [/tex]

[tex] 8 = x_1 [/tex]

[tex] x_1 = 8 [/tex]

[tex] 5 = \frac{y_1 + 9}{2} [/tex]

Multiply both sides by 2

[tex] 5*2 = \frac{y_1 + 9}{2}*2 [/tex]

[tex] 10 = y_1 + 9 [/tex]

Subtract 9 from both sides

[tex] 10 - 9 = y_1 + 9 - 9 [/tex]

[tex] 1 = y_1 [/tex]

[tex] y_1 = 1 [/tex]

Coordinates of Q is (8, 1)

HELP PLZ
what is the formula to convert from Fahrenheit to celcius​

Answers

(32°F − 32) × 5/9 = 0°C

The length of a rectangle is four times its width. If the perimeter of the rectangle is 80m , find its length and width.

Answers

Answer:

Width = 8 m

Length = 32 m

Step-by-step explanation:

Width = w

Length = 4w

Perimeter = 80 m

2*(length +width) = 80

2 *(4w +w ) = 80

       2* 5w  = 80

           10w = 80

               w = 80/10

                w = 8 m

Width = 8 m

Length = 4 * 8 = 32 m

2
If A=
4 3
find A1 using
elementary row operations.​

Answers

Answer:   [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

Step-by-step explanation:

                  [tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]

[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]

[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]

[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

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