Find all solutions n to the equation
$$6^{2n+1}+6^2=6^n+6^{n+3}.$$

Answer:46

Step-by-step explanation:

Answer:

4 burritos and 2 tacos

Step-by-step explanation:

burritos 370 x 4 = 1480

tacos 200 x 2 = 400

1480 + 400 = 1880 :)

Answer:

Therefore, if c represents the the number of calories in a taco, then the number of calories in a burrito can be represented as 6c.

Step-by-step explanation:

A taco has  the calories of a burrito. This statement can be translated directly to the equation below.

Substitute c into the equation to represent the calories in a taco.

Divide both sides by .

{1}/{6}

Therefore, if c represents the the number of calories in a taco, then the number of calories in a burrito can be represented as 6c.

Answer:

Jane used 2/5 of a scoop more of brown sugar than she did with white sugar.

Step-by-step explanation:

If you want to find how much more something is from something else, you subtract. So, subtract 9/10-1/2. If you want to subtract, they should both have the same denominator. So, 9/10-1/2 is the same as 9/10-5/10. 9/10-5/10 is equal to 4/10 which is simplified to 2/5.

Answer:

The equation y = -3r + 13 does not belong with the other three.

Step-by-step explanation:

We have 4 equations

The first 3 equations have relations between two variables x and y

So they are linear equations of two variables x and y

The fourth equation has a relation between two variables r and y

So it is a linear equation of two variables r and y

The fourth equation does not belong to with the first three equations because it has a different variable r

The equation y = -3r + 13 does not belong with the other three.

Answer: c

Step-by-step explanation: we know that odd numbers can’t be divided by 2 so take a out, then we see that 90 is the only one because 90/2=30, 90/9=10, and 90/10=9

Answer:

Yes, the answer is C. 90..

Answer:

It is because it comes from the word 'ratio'. A rational number is usually known as the ratio of two integers, that's how it got its name. :)

Answer:

3.6 hours

Step-by-step explanation:

To solve, create a Rate, Time, Work chart:

Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.

The work is 1 job of calling all clients, so their combined work is equal to 1.  

x over 6 plus x over 9 equals 1

In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together.  With rational equations, the terms can be added together once they have common denominators.  

x over 6 plus x over 9 equals 1

fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction

fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54

9 x plus 6 x equals 54

15 x equals 54

x equals 3.6

If Kevin and Anna work together, they can call all the clients in 3.6 hours.

The missing figures in the question can be seen below.

The average retirement age = 56.1 years ...

The number of a  survey of retired citizen = 49

The standard deviation of the retirement age is 6 years.

Using alpha ∝ = 0.02

Answer:

Step-by-step explanation:

From the given options in the first question in the given information.

Type I error can take place when the researcher concludes the average retirement age increased, but the average retirement age did not increase.

A Type II error can take place when the researcher concludes that the average retirement age did not increase, but the average retirement age increased.

Recall that:

population mean = 56.1

sample size = 49

standard deviation = 6

At the level of significance of 0.02, using the Excel function (=Normsinv(0.02))

The critical value for z = 2.054

Standard error = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

=[tex]\dfrac{6}{\sqrt{49}}[/tex]

= 6/7

= 0.857

The rejection region [tex]\overline X[/tex] = [tex]\mu +Z_{\alpha/0.02}*\sigma_x[/tex]

[tex]\overline X[/tex] = [tex]56.1+2.05374891*0.857[/tex]

[tex]\overline X[/tex] = 57.86

P(Type II error) is as follows:

[tex]P(\overline X < 57.86| \mu = 57.4) = P( Z< \dfrac{\overline X - \mu }{\sigma_x})[/tex]

[tex]= P( Z< \dfrac{57.86-57.4}{0.857})[/tex]

[tex]= P( Z< 0.537)[/tex]

From z tables;

P (Type II error) = 0.704

P(Type II error) is as follows:

[tex]P(\overline X < 57.86| \mu = 58.9) = P( Z< \dfrac{\overline X - \mu }{\sigma_x})[/tex]

[tex]= P( Z< \dfrac{57.86-58.9}{0.857})[/tex]

[tex]= P( Z<-1.214)[/tex]

From z tables;

P (Type II error) = 0.1124

Answer:

The measure of the angles are 61° and 119°

Step-by-step explanation:

Let the first angle = x°

let the second angle = y°

The sum of two supplementary angles = 180°

x° + y° = 180° ----- equation (1)

based on the given question; "the difference of two supplementary angles is 58 degrees."

x° - y° = 58° ------- equation (2)

from equation (2), x° = 58° + y°

Substitute the value of x into equation (1)

(58° + y°) + y° = 180°

58 + 2y = 180

2y = 180 -58

2y = 122

y = 122 / 2

y = 61°

The second angle is given by;

x° = 58° + y°

x = 58° + 61°

x = 119°

Thus, the measure of the angles are 61° and 119°

thank you !!

step by step explanation:

Answer:

B

Step-by-step explanation:

Answer:

V= -4

Step-by-step explanation:

add 2v to the left and you get -2v-3=5

-2v-3=5 add 3 to the right and you get -2v=8

divide 8 by -2 and you get v= -4

I hope this is right.

Answer: 8

There are 8 figure A's in Figure B.

Hope this helps!

Answer:

undefined

Step-by-step explanation:

Since this is a vertical line, it has an undefined slope.

m = change in y/ change in x

But x does not change

m = change in y /0

We cannot divide by zero so the slope is undefined

Answer:

42

Step-by-step explanation:

They have to fill the measuring cup by 42 times.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that some college roommates want to make pancakes for their neighbors. They need 7 cups of flour but only have a 1/6 cup measuring cup.

The number of times the cup is to be used will be calculated by dividing the numbers below:-

Number = 7 / ( 1 / 6 )

Number = 7 x 6

Number = 42 times

Therefore, they have to fill the measuring cup by 42 times.

To know more about an expression follow

https://brainly.com/question/20066515

#SPJ2

Answer:

38.28cm²

Step-by-step explanation:

The area of the figure can be determined by expression the figure as two shapes.

  A semicircle and trapezium;

 Area of shape  = Area of semicircle + Area of trapezium

Now;

 Area of semicircle  = [tex]\frac{\pi r^{2} }{2}[/tex]

  Where r is the radius, which is [tex]\frac{4}{2}[/tex] = 2cm;

   Area of semicircle  = [tex]\frac{3.142 x 2^{2} }{2}[/tex]   = 6.28cm²

Area of trapezium;

        = [tex]\frac{1}{2} (a + b)h[/tex]

a and b are the base length = 6cm and 10cm

 h is the height = 4cm

Input the parameters and solve;

       =  [tex]\frac{1}{2} (6 + 10) 4[/tex]  

       = 32cm²

The area of the shape = 6.28cm² + 32cm² = 38.28cm²

Answer:

12

Step-by-step explanation:

as its the highest degree

Answer:

Null hypothesis:

B) H0: μ1 = μ2 = μ3 = μ4

Alternate hypothesis:

A) H1: At least one mean is different.

Reject H0 if F>2.74

H0 is rejected

Step-by-step explanation:

Null hypothesis always contain equality so, null hypothesis would be

B) H0: μ1 = μ2 = μ3 = μ4.

Alternate hypothesis doesn't contain equality so, alternate hypothesis would be

A) H1: At least one mean is different.

Decision rule will be  "reject null hypothesis if calculated F is greater than critical value of F".

Critical value of F is F0.05(3,68)=2.74.

So, decision rule will be Reject H0 if F>2.74.

As, calculated F 2.77 is greater than 2.74 so, we reject our null hypothesis and conclude that there is sufficient evidence to suggests a difference in the means for the different types of mail at 5% level of significance.

Answer:

210 feet

Step-by-step explanation:

2 inches=70

1 inch=35

(70+35)×2=210

Answer:

a

Step-by-step explanation:

you take 236 and divide it by 4

236÷4=59 or 59/1

Answer:$185

Step-by-step explanation:

$35+$200=$235

$235-$34=$201

$201-$16=$185

Answer:

58

Step-by-step explanation:

Let the angle = x

Let the complement = 90 - x

2x = (90 - x) + 6

2x = 96 - x

3x = 96

x = 96/3

x = 32

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

The angle = 32

The complement = 90 - 32 = 58

Answer:

a

 [tex]P(A) =  \frac{1}{36}[/tex]

b

[tex]P(B) = \frac{15}{36}[/tex]

c

[tex]P(U) = \frac{11}{36}[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of dice is  [tex]n  =  3[/tex]

Generally  for all three dice to show the same number the second and the third dice must have the same outcome  as the outcome of the first dice.

This means that the number of outcome the first die can  have is  6  (6 sides), the number of outcome which the second and the third dice can have is  1 (they must match the first )

So the probability that all three dice show the same number on the first roll is mathematically represented as

      [tex]P(A) =  \frac{6}{6} * \frac{1}{6} *  \frac{1}{6}[/tex]

=>   [tex]P(A) =  \frac{1}{36}[/tex]

Generally for two of the three dice show the same number after the first roll then the number of outcome for  one of the  dice would be is  6 , the number of outcome for another one must be   1(i.e it must match the first ) , the number of outcome for the remaining one must be   5 (i.e it can show any of the remaining  5  sides which the first and second dice are not showing )

Now the number of ways of selecting this 2 dice that show the same number from the 3 dice is mathematically represented as

     [tex]N  =  ^3C_2[/tex]

Here C stands for combination

So

      [tex]N  =  ^3C_2  = 6[/tex]

So the probability that exactly two of the three dice show the same number after the first roll is mathematically represented as  

      [tex]P(B) = N   \frac{1}{6} *  \frac{5}{6}[/tex]

=>  [tex]P(B) = \frac{15}{36}[/tex]

Generally from the question we are told that if two dice match, the player re-rolls the die that does not match.

Now the probability that  the die that did not match the first  time will match the second time is

     [tex]P(E ) =  \frac{1}{6}[/tex]

Generally if that one die does not show the same number in the second round , the probability that it will match  in the third round is

    [tex]P(R) =  \frac{5}{6} *  \frac{1}{6} [/tex]

Generally the probability that he wins (i.e when all three are showing the same number ) and  exactly two is showing the same number is mathematically represented as

       [tex]P(K) =  P(E)* P(B) + P(R)* P(B)[/tex]

=>    [tex]P(K) =  \frac{1}{6} * \frac{15}{36}  +  \frac{5}{6} *  \frac{1}{6} * \frac{15}{36}[/tex]

=>  [tex]P(K)= \frac{165}{1296}[/tex]

So the probability that the player wins, conditioned on exactly two of the three dice showing the same number after the first roll is mathematically represented as  

    [tex]P(U) =  \frac{\frac{165}{1296}}{\frac{15}{36} }[/tex]

=>  [tex]P(U) = \frac{11}{36}[/tex]

Answer: it will take 5 days

Step-by-step explanation:

on the 5th day joey will be opening his 5th carton of milk and is 4th box of cereal

Answer:

5:3

Step-by-step explanation:

Answer and Step-by-step explanation:

Let

Compost lb per bag = x1 = 30

Compost cost per lb = 0.05

Sewage lb per bag = x2 = 40

Sewage cost per lb = 0.04

Minimize cost = 0.5 x1 + 0.4 x2

Constraints:

Bags of manure labeled “not less than 60 lb dry weight”

X1 + x2 ≥ 60

X1 ≥ 30

X2 ≥ 40

At x1 = 30 and x2 = 40

C = 0.05(30) + .04(40)

   = 1.5+ 1.6

   =$3.1

At x1= 60 and x2 = 0

C= 0.05(60) + 0.04(0)

  = 3 + 0

  =$3.00

At x1 = 30 and x2= 30

C = 0.05(30) + 0.04(30)

    = 1.5 + 1.2

  =$2.7

Answer:

magazine ads - 11, 33, 44, 66

newspaper ads - 2, 6, 8, 12

Price of lunch of each, P = $ 18.45/3 = $ 6.15 .

Now, number of people that can eat the barbecue at a budget of $1850.00 is:

[tex]n=\dfrac{1850}{6.15}\\\\n=300.81[/tex]

Therefore, Mr. Gaines afford maximum 300 people to feed on a budget of $1850.00 .

Hence, this is the required solution.

Answer:

pass the code

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if AB is congruent to AC that means both are 76 degrees so subtract that from the total degrees of a whole triangle which is 180 that gives you A which is 28.

Hope it helps :)