how many times do you need to add 5 to 17 to reach the product of 6 and 7​

Answers

Answer 1

Answer:

5

Step-by-step explanation:

The product of 6 and 7 is 42.

Let x be the number of times needed to add 5 to 17 to reach 42.

17 + 5x = 42

5x = 42 - 17

5x = 25

x = 5

Answer 2

Answer: I’m pretty sure it’s 5

Step-by-step explanation:


Related Questions

Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

Which statements can be used to solve for x, the total number of members in the Spanish club? Select three options

Answers

Problem: You do not have an attached picture. Though, I can help you out with this question.

So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".

3/5x=30

3/5x × 5/3=30 × 5/3

x=50

Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.

Variable in here is x.

Set up the problem, but use a calculator to find the number of outcomes for the permutation. Eight horses run a race. In how many ways can the first three finishers turn out?

Answers

Answer:  336

Explanation:

Label the slots A,B,C for first through third place.

There are 8 choices for slot A, 7 for slot B, and 6 for slot C. We start with 8 and count our way down until we get to the final slot. Then we multiply out those values

8*7*6 = 336

There are 336 ways to select three people from a pool of eight overall.

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

If you want to use the permutation formula, then your steps might look like this

[tex]_n P _r = \frac{n!}{(n-r)!}\\\\_8 P _3 = \frac{8!}{(8-3)!}\\\\_8 P _3 = \frac{8!}{5!}\\\\_8 P _3 = \frac{8*7*6*5!}{5!}\\\\_8 P _3 = 8*7*6\\\\_8 P _3 = 336\\\\[/tex]

Note how the 5! terms cancel out on the second to last step, leaving behind the expression 8*7*6 which was found earlier.

select a brand with the least expensive corn per ounce

A) ounces price
18 1.50
36 3.00
54 4.50
B) .75 for 15 oz
C) Maia buys an 11 ounce can of brand c corn for 2.20​

Answers

Answer: Option B.

Step-by-step explanation:

The price per ounce can be calculated as the amount of you paid divided the number of ounces that you get.

A) we have a table:

ounces          price

18                     $1.5

36                    $3.00

54                    $4.5

We can see that here we have a linear relationship. for example, the price for 18 ounces is $1.5

Then the price per ounce is:

p = $1.5/18 = $0.083

B) here we know that 15 oz cost $0.75, the price per ounce is:

p = $0.75/15 = $0.05

C) here we have 11 ounces, and the price is $2.20

then we have:

p = $2.2/11 = $0.2

Then we can conclude that the least expensive is option B.

Answer:b

Step-by-step explanation:

did it on khan

Solve for d.
4d – 4 = 5d - 8

Answers

Answer:

d = 4

Step-by-step explanation:

4d - 4 = 5d - 8

Add -5d and 4 on both sides.

4d - 5d = - 8 + 4

- 1d = - 4

Divide -1 into both sides.

d = -4/-1

d = 4

HELP ME PLEASE! So I’m working on this practice page before I start my quiz but I don’t understand these two problems, I was hoping someone would help me.

Answers

Answer: y = 1/2x - 6

Step-by-step explanation:

#4 We are going to use slope intercept form, (y = mx+b)

1. The line crossing the y-intercept at (0,-6)

2. The slope is 1/2 (increasing by 1 then over 2 --> RISE OVER RUN)

3. Make the equation: y= 1/2x - 6

Answer: 3 . y = -1/3 + 4/3   4. y= 1/2x -6

Step-by-step explanation:

3.   In the first graph  they have the coordinates,  (-2,2)  and (4,0). We have to solve for the slope and the y-intercept in other to write and equation.

To find the slope we have to find the change in the y values  and divide it by the difference in the x values.

2-0 = 2

-2 -4 = -6

2/-6 =  -1/3  Now we know that the slope is -1/3  so we need to  find the y-intercept.

2= -1/3(-2) +b   where be is the y intercept.

2= 2/3 + b

-2/3  -2/3

b= 4/3  

Now we could write the equation as  y= -1/3 + 4/3  

4. The same with number 4.  

We will find the slope and the y intercept by using some points on the number line.

(0,-6)  This already have the y-intercept graphed so we will need to just find the slope.

(0,-6)

(4,-4)  

-6 - (-4) = -2

0 - 4 =  -4

-2/-4 = 1/2

Equation: y = 1/2x  -6

Jeremiah invested $x at a 6% simple annual interest rate account. Six times that amount was invested at an 9% simple annual interest rate account. How much was invested at the 6% account if the total annual return was $800.00?

Answers

Answer:

Step-by-step explanation:

We will make a table with the values for both a 6% account and a 9% account.

The formula for this problem is Prt = I, where P is the amount invested in each account, r is the interest rate each carries in decimal form, t is the time in years, and I is the interest earned from the multiplication of the 3 previous values. We don't know how much is invested in either account, but we do know that no matter how much is invested in the 6% account, there is 6 times that in the 9% account. We know that the 6% account has a decimal rate of .06 and that the 9% account has a decimal rate of .09. "Annual" means 1 year, so the time is 1 year. Filling in the table, then:

                     P  *    r     *     t     =     I

Acct 6%         x     .06         1

Acct 9%       6x    .09          1

What we do with those number is multiply them straight across each row to get the amount of interest earned from each:

                    P     *     r     *     t     =     I

Acct 6%       x      *  .06    *    1      =   .06x

Acct 9%      6x     *  .09    *    1      =   .54x

The amount of Interest for both ADDS UP to 800; therefore:

.06x + .54x = 800 and

.6x = 800 so

x = 1333.33

That's how much was invested in the account that earned 6% interest annually.  

20 points help babes!!!!!

Answers

Answer:

Brainliest if correct!

Step-by-step explanation:

6561

9^4

the first one!!!

PLEASE HELP IMAGE ATTACHED!!

Answers

Answer:

Step-by-step explanation:

Parallel lines have same slope

19) y = x - 4

m = 1 ;   (2, 3 )

Equation: y - y₁ = m(x- x₁)

             y - 3 = 1(x - 2)

              y - 3 = x -2

                   y = x - 2 + 3

y = x + 1

20) 2x + 3y = 3

We have to write in y = mx + b  form

3y =  - 2x - 3

[tex]y=\frac{-2}{3}x-\frac{3}{3}\\\\y=\frac{-2}{3}x-1\\\\m=\frac{-2}{3}[/tex]; (-6, -1)

[tex]y-[-1]=\frac{-2}{3}(x-[-6])\\\\y+1=\frac{-2}{3}(x+6)\\\\y+1=\frac{-2}{3}x+\frac{-2}{3}*6\\\\y+1=\frac{-2}{3}x-4\\\\y=\frac{-2}{3}x-4-1\\\\y=\frac{-2}{3}x-5[/tex]

for perpendicular lines, m2 = -1/m1

21) y = 2x+ 5

m1 = 2

[tex]m_{2}=\frac{-1}{2}[/tex];     (-2,8)

[tex]y-8=\frac{-1}{2}(x-[-2])\\\\y-8=\frac{-1}{2}(x+2)\\\\y-8=\frac{-1}{2}x+2*\frac{-1}{2}\\\\y-8=\frac{-1}{2}x-1\\\\y=\frac{-1}{2}x-1+8\\\\y=\frac{-1}{2}x+7[/tex]

22) x+ 4y = 8

           4y = -x + 8

             [tex]y=\frac{-1}{4}x+\frac{8}{4}\\\\y=\frac{-1}{4}x+2\\\\m_1=\frac{-1}{4}\\\\m_{2}=4\\\\[/tex]

m2 = 4;  (-2,-11)

y - [-11] = 4(x -[-2])

y + 11 = 4 (x + 2)

y + 11 = 4x + 8

      y = 4x + 8 - 11

      y = 4x - 3

Multiply 17/18 by the reciprocal of -289/324.

Answers

Answer:

18/17

Step-by-step explanation:

the negative reciprocal of -289/324 is 324/289. When it is multiplied by 17/18 you get 18/17 as the answer.

Answer:

[tex] - 1 \frac{1}{17}[/tex]

Step-by-step explanation:

[tex]Reciprocal \: of \: - \frac{289}{324} = - \frac{324}{289} \\ \\ \frac{17}{18} \times (- \frac{324}{289} ) \\ \\ = \frac{17}{18} \times (- \frac{18 \times 18}{17 \times 17} ) \\ \\ = - \frac{18}{17} \\ \\ = - 1 \frac{1}{17} \\ [/tex]

Express 2x²+20x+7 in the form (x+p)²+q

Answers

Answer:

f(x) = (x + 5)² - 21.5

Step-by-step explanation:

Step 1: Subtract both sides by 7

2x² + 20x = -7

Step: GCF and divide

2(x² + 10x) = -7

x² + 10x = -7/2

Step 3: Complete the Square

x² + 10x + 25 = -7/2 + 25

(x +5)² = 43/2

Step 4: Subtract 43/2 to both sides

(x + 5)² - 43/2

And we have our equation!

If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =

Answers

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

local maximum of y=2x3+x2−7x−6.

Answers

Answer:

I did as linear equation hope it helps

Toilet rolls are sold in packs of four how many toilet rolls are there in nine packs

Answers

Answer:

36 toilet rolls

Step-by-step explanation:

1 pack consist of 4 rolls

So,

1 pack = 4 toilet rolls

Multiplying both sides by 9

=> 1×9 = 4×9

=> 9 packs = 36 toilet rolls

The temperature at 12 Noon was above zero. If it decreases at the rate of
Per hour until midnight, at what time would the temperature be below zero?

Answers

Answer:

Brianliest!

Step-by-step explanation:

It could be found if you were given the rate

since there is no rate, the question should be answered that there is not enough information

pls anybody Answer me.
I will mark as BRAIN LIST. pls. ​

Answers

Answer:

(i) 12.25

(ii) 12.25.

Step-by-step explanation:

(1) cot^2 O = (7/2)^2 = 49/4

= 12.25.

(2) (1 - sin O) ( 1 + sin O)         1 - sin^2 O          cos^2 O

     ----------------------------  =     -------------   =       --------------

    (1 - cos O)(1 + cos O)         1 - cos^2 O         1 - cos^2 O

As cot O = 2/7, tan O = 1 /2/7 = 7/2.

Hypotenuse of the right  triangle = √( 2^2 + 7^2)

= √53

So cos O = 7/√53

Therefore  the original function = cos^2 O / (1 - cos^2 O)

= (7/√53)^2 / (1 -  (7/√53)^2 )

= 49/53 / 4/53

= 49/4.

Solve for x
12:15 = x 5
36
060​

Answers

Answer:

x = 12:15=×5

36

060

Step-by-step explanation:

12:15=0

x=0

Answer:

4

Step-by-step explanation:

Divide the left side by 3

12:15

12/3 : 15/3

4:5

x would be 4

A fair dice is rolled 3 times in a row. The outcomes are shown below. Calculate the probability of all three events occurring. Roll Outcome 1st 5 2nd factor of 6 3rd more than 1

Answers

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

what is the solution to this inequality x/10+6≥8

Answers

Answer:

x ≥ 20

Step-by-step explanation:

First, we want to isolate x. We can start to do that by subtracting 6 to both sides.

x/10≥2

Now, we multiply each side by 10.

x ≥ 20

That's the answer, all values above or equal to 20 are solutions.

Answer:

The answer is x_> 20

Step-by-step explanation:

PLEASE HELP I DONT KNOW WHAT TO DO !! I APPRECIATE IT IF YOU HELP ME !

Answers

Answer:

x = ±20

Step-by-step explanation:

x^2 -1=399

Add 1 to each side

x^2 = 399+1

x^2 = 400

Take the square root of each side

sqrt(x^2) = ±sqrt(400)

x = ±20

Each term in the sequence below is equal to the sum of two previous terms.
...a,b,c,d,e,f....
All of the following are equal to the value of "d" EXCEPT...
A. e-c
B. b + c
C. a + 2b
D. e - 2b
E. f-e

Answers

Hey there! :)

Answer:

D, e - 2b.

Step-by-step explanation:

Check each answer choice using the pattern given:

A. e - c = d because c + d = e. This is correct.

B. b + c = d. This is correct.

C. a + 2b = d because c = a + b. This is correct.

D. e - 2b ≠ d. This is incorrect.

E. f - e = d because d + e = f. This is correct.

Therefore, the only answer that does not equal "d" is D, e - 2b.

10. Julio is driving to the store. The average distance d, in miles, he travels over t minutes is given by the
function d(t) = 0.5t. What is the value of the function when t = 15?

Answers

Answer:

7.5 miles

Step-by-step explanation:

Given the equation d(t) = 0.5t, all you need to do is plug in the value of t.

They're asking what the Function equals, and they're giving you the value of the variable t.

To solve, write the equation d(15) = 0.5(15)

And if you simplify the right side of the equation, you'll find that

d(15) = 7.5

If t represents time, then you can conclude that Julio travels 7.5 miles in the time t, of 15 minutes.

Which symbol would make the statement TRUE?
4.589 4.958
A. <
B. >
C. =
D. none of the above

Answers

Answer:

A. <

Step-by-step explanation:

The symbol "<" means less than.

Comparing 4.589 with 4.958, 4.958 is greater than 4.589 by 0.369 (4.958 - 4.589).

So therefore, if we are to write 1 statement for both, we would say "4.589 is less than 4.958".

This can be written by using just symbols without words, thus, we have:

4.589 < 4.958.

The correct option is A. <

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is A prime number Not a perfect square A multiple of 5 Less than or equal to 21 Divisible by 4 or 6

Answers

Answer:

(a)See below

(b)I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

When an  8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

PART A

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:  

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

PART B

I) A prime number

The number of products that gives prime numbers = 8  

The probability that the product is a prime number

[tex]=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125[/tex]

ii) Not a perfect square  

Number of products that results in perfect squares =11

The probability that the product is not a perfect square

[tex]=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125[/tex]

iii) A multiple of 5  

Number of products that are multiples of 5=15

 The probability that the product is a multiple of 5

[tex]=\dfrac{15}{64}\\=0.234375[/tex]

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

 The probability that the product less than or equal to 21

[tex]=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625[/tex]

v) Divisible by 4 or 6

Number of products divisible by 4 or 6= 42

 The probability that the product is divisible by 4 or 6

[tex]=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625[/tex]

Which of the following proves ALMN= AOPQ?

Answers

Answer:

Step-by-step explanation:

From the figure attached,

Given : LM ≅ OP

            PQ ≅ MN

            NL ≅ QO

To Prove : ΔLMN ≅ ΔOPQ

In the triangles LMN and OPQ,

             Statements              Reasons

1). LM ≅ OP                       1). Given

2). PQ ≅ MN                     2). Given

3). NL ≅ QO                      3). Given

4). ΔLMN ≅ ΔOPQ            4). By SSS property of congruence

2 1/3 divide 1/4 answer in simplest form

Answers

Answer:

[tex]9\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]2\frac{1}{3} \div \frac{1}{4}[/tex]

[tex]\frac{7}{3} \div \frac{1}{4}[/tex]

[tex]\frac{7}{3} \times \frac{4}{1}[/tex]

[tex]\frac{7 \times 4}{3 \times 1}[/tex]

[tex]\frac{28}{3}[/tex]

[tex]9\frac{1}{3}[/tex]

Answer

[tex]9 \frac{1}{3} \\ solution \\ 2 \frac{1}{3} \div \frac{1}{4} \\ = \frac{7}{3} \times \frac{4}{1} \\ = \frac{7 \times 4}{3 \times 1} \\ = \frac{28}{3} \\ = 9 \frac{1}{3} [/tex]

Hope it helps...

Good luck on your assignment....

0.0995 rounded to 3 decimal places​

Answers

Answer:

0.100

Step-by-step explanation:

0.0995 has 4 decimal places

5>4 so round up

9 turns to 10, the 1 is "added on" to the number ahead

9 turns to 10 again, the 1 is "added on" to the number ahead

0 turns to 1

you are left with 0.100

Answer:

0.100

Step-by-step explanation:

Three decimal places: 0. 0 / 9 / 9 / 5

Rounding number: 0. 0 / 9 / 9 / 5

Since it is 5, add 1 to the second 9. This will result to 0 while adding 1 to the first 9. Again, this would result to 10 which will add 1 to the next number, 0.

0.1000

Since the question wants you to round three places, you were not told to remove the zeros in those decimal places. So only remove the last 0.

0.100 is the answer

solve: 5x + 4 < 3 – 3x

Answers

Answer:

x = -1/8

Step-by-step explanation:

The greater than sign can be replaced with an equal sign to solve.

5x + 4 < 3 – 3x =>

5x + 4 = 3 - 3x =>

+3x  -4    +3x - 4

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

8x = -1

x = -1/8

SOMEONE PLS HELP !! In a randomly generated list of numbers from 0 to 4, the chance that each number can occur is 1/4. True or False?

Answers

Answer:

False

Step-by-step explanation:

This is false because there are 5 numbers from 0 - 4 (0, 1, 2, 3, 4) so the probability will be 1/5 not 1/4.

Which statements are true about the parabola represented by the equation y=−3x^2+18x+23 Select all that apply. 1. The leading coefficient is positive, so the parabola opens up. 2. The leading coefficient is negative, so the parabola opens down. 3. The parabola has a maximum. 4. The parabola has a minimum.

Answers

Answer:

2, 3

Step-by-step explanation:

2. The leading coefficient is -3. When the leading coefficient is negative, the parabola opens down.

3. When the parabola opens down, it has a maximum point, but no minimum point. (when the parabola opens up, it has a minimum, but no maximum)

I hope this helps :)

The right statements about equation y=−3x^2+18x+23 is 2) The leading coefficient is negative and 3) The parabola has a maximum.

What is a parabola?

A parabola is a plane curve which is mirror-symmetrical and can be downward, upward, leftward and rightward shaped.

What are the statements?

Second is true because when the coefficient is negative  the parabola opens down because their values starts decreasing.

Third is true because when the parabola opens down it has a maximum point and no minimum point. On the other hand when the coefficient is positive it opens up.

Learn more about parabola at https://brainly.com/question/4148030

#SPJ2

5776 students are sitting in an auditorium in such a manner that there are as many as
students in a row as there are rows in the auditorium.. How many rows are there in the
auditorium?(76)​

Answers

Answer:

Hope it will helpful.Follow for more answers.

Other Questions
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For such a system, the potential energy is stored in the spring and is given by U = 12k x 2where k is the force constant of the spring and x is the distance from the equilibrium position. The kinetic energy of the system is, as always, K = 12mv2where m is the mass of the block and v is the speed of the block.A) Find the total energy of the object at any point in its motion. B) Find the amplitude of the motion. C) Find the maximum speed attained by the object during its motion. Water molecules are made of slightly positively charged hydrogen atoms and slightly negatively charged oxygen atoms. Which force keeps water molecules stuck to one another? strong nuclear gravitational weak nuclear electromagnetic Las esferas metlicas que se muestran en la figura se cargan con 1C cada una. La balanza se equilibra al situar el contrapeso a una distancia x del eje Se pone una tercera esfera a una distancia 2d por debajo de a esfera A y cargada con -2C. Para equilibrar la balanza se debe mover el contrapeso a la derecha, porque? Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100. Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5. Who performed better on the standardized exams and why? Reagan scored higher than Jessie. Reagan's score was 1140, which is greater than Jessie's score of 30. Reagan scored higher than Jessie. Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Jessie's standardized score of 2.6 standard deviations above the mean. Reagan scored higher than Jessie. Reagan's score was 140 points above the mean of 1000, and Jessie's was 13 points above the mean of 17. Jessie scored higher than Reagan. Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean. Jessie scored higher than Reagan. Jessie is only 6 points from the top score of 36 on the ACT, and Reagan is 460 points from the top score of 1600 on the SAT. The January 1, Year 1 trial balance for the Tyrell Company is found on the trial balance tab. The beginning balances are assumed. Tyrell Co. entered into the following transactions involving short-term liabilities in Year 1 and Year 2.Year 1 Apr. 20 Purchased $40,250 of merchandise on credit from Locust, terms n/30. May 19 Replaced the April 20 account payable to Locust with a 90-day, 10%, $35,000 note payable along with paying $5,250 in cash. July 8 Borrowed $80,000 cash from NBR Bank by signing a 120-day, 9%, $80,000 note payable. Aug. 17 Paid the amount due on the note to Locust at the maturity date. Nov. 5 Paid the amount due on the note to NBR Bank at the maturity date. Nov. 28 Borrowed $42,000 cash from Fargo Bank by signing a 60-day, 8%, $42,000 note payable. Dec. 31 Recorded an adjusting entry for accrued interest on the note to Fargo Bank. Year 2 Jan. 27 Paid the amount due on the note to Fargo Bank at the maturity date.Requirement General General Trial Schedule of Calculation of Year 2 Journal Ledger Balance Payables Interest Payment1. General Journal tab- Prepare the 2016 journal entries related to the notes and accounts payable of Tyrell Co 2. Calculation of interest tab - Use the interest formula (P x Rx T) to verify the amount of interest recorded in your entries. Verify that total interest expense agrees with the trial balance.3. Year 2 payment tab - Prepare the January 27, 2017 entry to record the re-payment of the note at maturity Which of these ideas from the Declaration of Independence explains the proper purpose of government?O "We hold these truths to be self-evident."O "All men are created equal.""To secure these rights, governments are instituted among men."O "It becomes necessary for one people to dissolve the political bands." local maximum of y=2x3+x27x6. Which plot element includes conflicts and challenges encountered by the characters? SOMEONE PLS HELP !! In a randomly generated list of numbers from 0 to 4, the chance that each number can occur is 1/4. True or False? What is the measure of Zx?Angles are not necessarily drawn to scale.PR3629S2= HURRY TIMEDD!!!!!What is the value of the discriminant, b2 4ac, for the quadratic equation 0 = x2 4x + 5, and what does it mean about the number of real solutions the equation has? The discriminant is 4, so the equation has 2 real solutions. The discriminant is 4, so the equation has no real solutions. The discriminant is 35, so the equation has 2 real solutions. The discriminant is 35, so the equation has no real solutions. Light rays travel along _____ paths. A. curved B. straight C. changing D. unpredictable An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individuals, what is the approximate distribution of the number who carry this gene What is AB? Geometry help please Which sentence best describes how the relationship between municipalpower and state power has changed over time?A. States have become more powerful, with courts ruling thatmunicipalities only have the power the state grants them.B. Municipalities have become more powerful, with many states nowallowing them to control most local matters.C. Municipalities and states have remained equally powerful inrelation to one anotherD. Municipalities and states have become weaker as the federalgovernment continues to take control of more local matters. In a sample of 22 people, the average cost of a cup of coffee is $2.70. Assume the population standard deviation is $0.93. What is the 90% confidence interval for the cost of a cup of coffee