Find the distance between the pair of points.
​(19​,−8​) and ​(−14​,−23​)

The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that P(n) be the assertion

∑j² = n (n+1)(2n+1)/6

(a) For n = 3, we get

∑j² = 1² + 2²+3² =14

= 3(3+1)(6+1)/6

=14

Hence, P(3) is true.

(b) Expression for P(k) may take the form

∑j² = k (k+1)(2k+1)/6

(c) Expression for P(k + 1) may take the form

∑j² = (k+1) (k+2)(2k+3)/6

(d)Base case:

In base case, we must prove that P(1) is true.

(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.

(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.

(g)Base case:

a) For n=1, we get

RHS= 1(1+1)(2+1)/6

=1

Hence, P(1) is true.

Inductive hypothesis:

Assume P(k) is true:

∑j² = k (k+1)(2k+1)/6

Inductive step:

Now,

∑j² = k (k+1)(2k+1)/6 +(K+1)²

which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

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Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(−4, 8) and (−3, −6)

The slope is

\(m = \frac{ - 6 - 8}{ - 3 + 4} = \frac{ - 14}{1} \)

We have the final answer as

Hope this helps you

The probability that the average length of a bundle of steel rods chosen at random is less than 124.5 cm.

P(M < 124.5) = 0.0603.

P(M 169.3 cm 168.3 cm) = 0.7724

Given that,

Steel rods are produced by a firm. The lengths of the steel rods have a mean of 125.2 cm and a standard deviation of 2.3 cm, and they are regularly distributed. 25 steel rods are packaged together for shipping.

We have to determine the probability that the average length of a bundle of steel rods chosen at random is less than 124.5 cm.

P(M < 124.5-cm) =

We know that,

Mean =μ= 125.2

Standard deviation=σ=2.3

n=25

P(M<124.5)= P[(M-μ)/σ< 124.5-125.2/0.46]

=P(z<-1.522)

Using the z-table,

=0.0603

Therefore, The probability that the average length of a bundle of steel rods chosen at random is less than 124.5 cm.

P(M < 124.5) = 0.0603.

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Answer:

It's very easy mate!

Step-by-step explanation:

Ninty eight thousand seven hundred fifty three

that is 98753 in no.s

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

               \(\boxed{98753 }\)    

In word form = Ninety eight thousand seven hundred fifty three

In Number form.= 98753

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

72.26 cm²

total area = 145.49 cm²

small tri = 12.99cm²

large tri = 23.38 cm²

so shaded area = 145.49 -(2x12.99)-(2x23.88)=72.26cm²

You can decorate 6 cupcakes and your little brother can decorate 4 cupcakes.

You are 30 years old and your little brother is 20.

You each get to decorate one cupcake for every 5 years you've been alive.

To determine how many cupcakes each of you can decorate, you need to divide your age by 5 and round down to the nearest whole number.

For you: 30 ÷ 5 = 6 cupcakes

For your brother: 20 ÷ 5 = 4 cupcakes

Therefore, you can decorate 6 cupcakes and your little brother can decorate 4 cupcakes.

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The correct order of the processes of letter of credit payment is:

IV -> III -> II -> V -> I. b

Explanation:

The first step is to establish a sales contract (IV) between the importer and the exporter.

Then, the importer's bank issues a letter of credit (III) to the exporter's bank, which guarantees payment to the exporter if the terms of the sales contract are met.

The letter of credit is in place, the exporter's bank ensures the exporter that payment will be made (II).

The exporter then ships the goods (V) to the importer.

The importer receives and verifies the goods, the exporter's bank receives payment from the importer's bank and the exporter receives the payment. (I)

Establishing a sales contract (IV) between the importer and the exporter is the first stage.

Then, if the conditions of the sales contract are satisfied, the importer's bank sends a letter of credit (III) to the exporter's bank, guaranteeing payment to the exporter.

The exporter's bank guarantees that payment will be made because the letter of credit is in place (II).

The items (V) are subsequently delivered to the importer by the exporter.

The exporter's bank gets payment from the importer's bank, the exporter receives the money when the importer receives and inspects the items. (I)

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Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

Answer:

59°

Step-by-step explanation:

180 - 147 = 33

88 + 33 = 121

180 - 121 = 59

Answer:

40 in^3

Step-by-step explanation:

5 x 4 x 2 = 20 x 2 = 40

Without using the triangle sum theorem, the proof that shows that m∠G + m∠K + m∠GHK = 180° is proved below.

Based on the triangle angle sum theorem, all the interior angles in a triangle will add up to the sum of 180 degrees.

The complete proof that shows that m∠G + m∠K + m∠GHK = 180 degrees is explained below.

Statement                                    Reason                                          

1. GK║HJ                                     1. Given

2. ∠G ≅ ∠IHJ                              2. Corresponding angles theorem

3. ∠K ≅ ∠JHK                             3. Alternate interior ∠s theorem

4. m∠IHK = m∠IHJ + m∠JHK     4. Additive property of angle measure

5. m∠IHK = m∠G + m∠K            5. Substitution

6. m∠IHK + m∠GHK = 180°        6. Angles forming a linear pair sum of 180°

7. m∠G + m∠K + m∠GHK = 180° 7. Substitution

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Answer: 1.5

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

3 divided by 2 or 3.2 equals 1.5

Step-by-step explanation:

9 miles per day

8 days hiking

9m x 8d = 72 miles long

Answer:

the third questions is 2/2 because when we divide 2 by two the answer is 1 so the is 2

Answer: the third and 5th option but I'm not sure if its right

Answer:

–21.8 – 18.3

Step-by-step explanation:

because you keep change flip

Answer:

-21.8 - 18.3 ;)

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

19:26

Step-by-step explanation:

24 hour time is adding 12 hours to the time it is unless is it morning like 12 am to 12:59 pm.

Answer:

The answer is 07:26

Explanation:

If were talking about A.M., then it would be 07:26.

But on the other hand, if were talking about P.M., then it would be 19:26, which in this case were not looking for.

Therefore, your answer to this question is 07:26.

Hope this helps! :D  

(Can you mark me brainliest? It is greatly appreciated!)

- ❤ 7272033Alt ❤

Answer done at 7:46 PM on 1/5/2021

Answer:

5/4

Step-by-step explanation:

(10/12) / (4/6)

Reduce the fractions:

(5/6) / (2/3)

Multiply by the reciprocal:

(5/6) × (3/2)

15/12

Reduce:

5/4

Answer:

Draw one whole fraction bar. Next, draw 6 equal bars under it, since you are dividing by sixths. Then draw a twelfths fraction bar with 2 twelfths for each sixth bar. Above the twelfths bar, circle groups of 4 sixths. There is one group of 4/6 with 1/6 remaining. Since 1/6 is 1/4 of 4/6, the quotient is 1 1/4.

Step-by-step explanation:

why did someone remove ma answer :l

Answer:

Step-by-step explanation:

To determine whether 5x + 30 = 45 - 4x is equivalent to 9x = 15, we need to find the value of x that makes both equations true.First, let's solve the equation 5x + 30 = 45 - 4x for x. We can do this by adding 4x to both sides of the equation to get:5x + 4x + 30 = 45

9x + 30 = 45Subtracting 30 from both sides gives us:9x = 15This is the same as the equation 9x = 15, so we can conclude that the two equations are equivalent.

Answer:

It flies 380 miles fewer

Step-by-step explanation:

The correct question is as follows;

Scientists are preparing two satellites to be launched. The equation y=820x represents the number of miles, y, that the satellite, Space Explorer B, flies in x hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours. How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?

Solution;

For explorer B

The equation is;

y = 8200x

This mean that in 1 hour, it flies 820 miles

For explorer A

28,800 miles in 24 hours

In one hour, we have 28,800/24 = 1,200 miles

The number of fewer miles that explorer A travels will be ;

1200 miles - 820 miles = 380 miles fewer

Answer:

wrong

Step-by-step explanation:

(a) The probability that both score more than 175 is 0.12 and (b) the probability that Thomas scores more than 175 and Sarah scores higher than Thomas is 0.04

If the occurrence of one event say A does not affect the occurrence of event B, then the two events are said to be independent such that;

P (A ∩ B) = P (A) × P (B)

a:

consider; event A represents Sarah scoring more than 175 and event B represents Thomas scoring more than 175

Thus, P(A) = Probability that Sarah scores more than 175 = 0.6

P(B) = The probability that Thomas scores more than 175 = 0.2

Since the scores are independent, therefore the probability that both Sarah and Thomas score more than 175 is,

P (A ∩ B) = (0.6) × (0.2)

P (A ∩ B) = 0.12

b:

If the occurrence of one event say A affects the occurrence of another event say B, then the two events are said to be dependent on each other such that;

P (A ∩ B) = P (B) × P (A|B)

As; P(B) = The Probability that Thomas scores more than 175 = 0.2

and P(A|B) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.2

Therefore;

P (A ∩ B) = (0.2) × (0.2) = 0.04

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Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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Answer:

\(\huge\boxed{11}\)

Step-by-step explanation:

\(\sf = y^2-x^2\\\\Put \ y = 6 \ and \ x = 5\\\\=(6)^2-(5)^2\\\\=36-25\\\\= 11\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

Angle between two tangents or two secants is the half of the difference of intercepted arcs.

#1

#2

Answer:

50

Step-by-step explanation:

The two quantities needed to determine the total amount of money Monte paid his employees this month are:

A. the hourly salary of each employee

C. the number of hours each employee worked this month.

With four employees at the Monte Bakery, who earn a different hourly wages, to work out the total salary for the month, Monte needs to multiply the hourly wage of each employee by the total number of hours each worked.

Thus, in this mathematical operation, we first use multiplication and then add each individual employee's total salary to sum the total salary for the month.

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A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. The given value of sales was $ 2,180.

To find out the value of sales when a store sold 120 units of good A for $4 each and 340 units of good B for $5 each, we have to calculate the total cost of good A and good B sold respectively and add them together.

Value of sales = Total cost of good A + Total cost of good B Total cost of good A

= Number of units of good A sold x Cost of each unit of good A Total cost of good A

= 120 x $4Total cost of good

A = $480

Total cost of good B = Number of units of good B sold x Cost of each unit of good B Total cost of good

B = 340 x $5

Total cost of good B = $1,700

Therefore,Value of sales = Total cost of good A + Total cost of good B Value of sales = $480 + $1,700

Value of sales = $2,180

Therefore, the value of sales was $2,180.

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