how so I solve a problem that passes through the line 0,8 and 1,4 putting my answer in point slope form

Answer:

The first coupon with $550 off

Step-by-step explanation:

773.50-550= 223.5 (first coupon)

773.50×(100%-70%)=232.05(second coupon)

232.05>223.5

first one will save more money

The time at which the drone's altitude reach 500 feet is given by the equation T = 15 minutes

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the drone's height at 500 feet be represented as T

Now , the equation for drone's height is given by

h ( t ) = 450 + 50 [ sin ( t - 5 ) π/20 ]   be equation (1)

where , h ( t ) is the height of drone

when height of the drone is at 500 feet

Substituting the value of h ( t ) = 500 in the equation , we get

500 = 450 + 50 [ sin ( t - 5 ) π/20 ]

On simplifying the equation , we get

Subtracting 450 on both sides of the equation , we get

50 = 50 [ sin ( t - 5 ) π/20 ]

Divide by 50 on both sides of the equation , we get

sin ( t - 5 ) π/20 = 1

From the trigonometric relations , sin 90° = 1

So , sin ( π/2 ) = 1

Substituting the values in the equation , we get

sin ( π/2 ) = sin ( t - 5 ) π/20

On further simplification , we get

( π/2 ) = ( t - 5 ) π/20

Multiply by 20 on both sides of the equation , we get

( t - 5 ) = 10

Adding 5 on both sides , we get

t = 15 minutes

Hence , the time required is 15 minutes to reach 500 feet

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Answer:

I got 28

Step-by-step explanation:

use the formula k=y/x. 6/8=0.75

21/0.75=

Answer:

263,870

Step-by-step explanation:

Answer:

263,870

Step-by-step explanation:

You have 26,387 then you will multiply it by 10 and you'll get 263,870

The probability of the four events are: Event 1: 1/84Event 2: 3/14Event 3: 15/28 Event 4: 5/21

The total number of drinks = 9The number of sweet teas = 3The number of unsweetened teas = 6If you select 3 drinks at random, the following events can take place:

Event 1: All three drinks are sweet teas. The probability of event 1 = (Number of ways in which all three drinks can be sweet teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be sweet teas = 3C3 = 1 (because all three sweet teas are already fixed)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 1 = 1/84 = 1/84

Event 2: Exactly two drinks are sweet teas. The probability of event 2 = (Number of ways in which two drinks are sweet teas and one is an unsweetened tea) / (Number of ways to select 3 drinks)The number of ways in which two drinks are sweet teas and one is an unsweetened tea = (3C2 × 6C1) = 18 (because you can choose 2 sweet teas from 3 and 1 unsweetened tea from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 2 = 18/84 = 3/14

Event 3: Exactly one drink is a sweet tea. The probability of event 3 = (Number of ways in which one drink is a sweet tea and the other two are unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which one drink is a sweet tea and the other two are unsweetened teas = (3C1 × 6C2) = 45 (because you can choose 1 sweet tea from 3 and 2 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 3 = 45/84 = 15/28

Event 4: All three drinks are unsweetened teas. The probability of event 4 = (Number of ways in which all three drinks can be unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be unsweetened teas = 6C3 = 20 (because you can choose 3 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84 Therefore, the probability of event 4 = 20/84 = 5/21

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This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.

The total number of raffle tickets sold at the end of 9 years is approximately 9,818.  

To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.

Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.

Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4

Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92

Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666

Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)

Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56

The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.

The correct option is 9,818.

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Answer:

r = 15

Step-by-step explanation:

These angles are supplementary which means they add up to 180:

6r - 4 + 94 = 180

6r + 90 = 180

6r = 180 - 90

6r = 90

r = 15

Answer:

y=0

x=no real solution

Please Give Brilianst!!!

Step-by-step explanation:

first we know y=0, so -6xy=0

\(3x^{2}\)-0-x+1=0

\(3x^{2}\)-x+1=0

(3x+2)(x-1)+3=0

x, no real solution

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Answer:

The answer is D.

Step-by-step explanation:

1. 10(k+4) → 10•k + 4•10 → 10k+40

2. is how it is

3. 5(2k+8) → 5•2k + 5•8 → 10k+40

so it's 1,2,&3

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

The variance of the score for younger women is 0.6875 while that of the older women is 1.4844.

From the complete question, the mean will be:

= (8 + 6 + 6 + 7 + 8 + 7 + 8 + 8) / 8

= 7.25

The variance will be:

= (8 - 7.25)² + (6 - 7.25)² + (6 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² - (8 - 7.25)² / 8

= 0.6875

The mean of the older women will be:

= (7 + 5 + 8 + 5 + 7 + 6 + 8 + 5) / 8

= 6.375

The variance will be gotten by subtracting the mean from each value and doing it exactly as above. This will be 1.4844.

Lastly, since the variance for younger women is less than that of the older women, the score for younger women is less consistent.

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The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer:

0.002

Step-by-step explanation:

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100 and that would get us 2/1000

2/1000 is also 0.002

0.002 is the value of the digit 2 in the number 1,947.5286​.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here we have,

the number 1,947.5286​.

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100

and that would get us 2/1000

i.e.

2/1000 is also 0.002

Hence, 0.002 is the value of the digit 2 in the number 1,947.5286​.

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Answer:

Gender and Residence of Students

a) What is the probability that a student is female and lives in a dorm?  

= 58.33%

b) What is the probability that a student is female given that she lives in a dorm?

= 21%

Step-by-step explanation:

a) Data and Calculations:

Gender and Residence of Students  

                                           Males   Females Total

Apartment off campus         50        90        140

Dorm room                          150       210       360

With Parent(s)                      100        50        150

Sorority/ Fraternity House 200      150        350

Total                                    500     500      1,000

a) Probability that a student is female and lives in a dorm:

= number of females who live in a dorm divided by total number of students who live in a dorm * 100

= 210/360 * 100

= 58.33%

b) Probability that a student is female given that she lives in a dorm

= number of female students who live in a dorm divided by the total number of students * 100

= 210/1,000 * 100

= 21%

Answer:

I strongly believe that NPV of the project is the requirement of this question:

NPV is -$486.82

Step-by-step explanation:

The NPV is the present value of the future cash flows from year 1 through year 6 minus the initial capital investment of GH30,000

The cash flow discount factor =1/(1+r)^n

r is the opportunity cost of capital at 10%

n is the relevant year of each cash flow

NPV=-30,000+9000/(1+10%)^1+8000/(1+10%)^2+7000/(1+10%)^3+6000/(1+10%)^4+5000/(1+10%)^5+4000/(1+10%)^6=-$486.82

The project is not viable since NPV is negative

Answer:

A) 18

Step-by-step explanation:

add 46 and 26, you get 72

now, subtract 72 from 90 and what do you get?

........ not gonna tell me huh? XDD

you get 18, right???

to make sure you calculated correctly, add everything together

   46 + 26 + 18 = 90!!!

yay! so from what ive just showed you, what can you determine???

that 18 of the movies are science fiction.

Good luck and I hope this helped, if so... would you please mark me as brainliest?? Thanks!!

Answer:

2 times length of AB

Step-by-step explanation:

Given

\(AB =50\%\)

Required

Length of line with 100%

To get the length of line segment that is 100%, simply multiply AB by 2

i.e.

\(2 * AB =2 * 50\%\)

\(2 AB =100\%\)

Assume AB = 5cm (at 50%). The length at 100% will be 10cm i.e. 2 * 5cm

Answer: (−∞,8)∪(8,∞),{y|y≠8}

Step-by-step explanation:

Answer: The range of a function is the set of all possible output values (y-values) for a given function.

For the function y = 3/x+8, we can find the range by analyzing the domain of the function. The domain of a function is the set of all input values (x-values) for which the function produces a valid output value.

The range of this function is all real numbers, since the denominator x+8 can't be equal to zero.

However, we can't express the range of the function as a specific set of numbers because the range is defined as all real numbers. The answer would be R

It's worth noting that if we change the function for example to y = 3/x-8, the domain would be x≠8 and the range would be y<-8/3

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1) Piece lengths are:

=> 4 cm

=> 8 cm

=> 16 cm

2) Meters of curtain in bundles are :

=> 120 m

=> 300 m

=> 420 m

\(\bold{\huge{\underline{ Solution 1 }}}\)

Let the given ratios be 1x, 2x and 4x

According to the question,

\(\sf{ x + 2x + 4x = 28}\)

\(\sf{ 7x = 28}\)

\(\sf{ x = }{\sf{\dfrac{28}{7}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{28}{7}}}}\)

\(\bold{ x = 4}\)

Thus, The value of x is 4

Length of first piece = 4 cm

Length of second piece

\(\sf{ = 2}{\sf{\times{4}}}\)

\(\bold{ = 8\: cm }\)

Length of third piece

\(\sf{ = 4}{\sf{\times{4}}}\)

\(\bold{ = 16 \:cm }\)

Hence, The length of each piece of board is 4 cm , 8cm and 16cm .

\(\bold{\huge{\underline{ Solution 2 }}}\)

Let the given ratios be 2x, 5x and 7x

According to the question,

\(\sf{ 2x + 5x + 7x = 840}\)

\(\sf{ 14x = 840}\)

\(\sf{ x = }{\sf{\dfrac{840}{14}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{840}{14}}}}\)

\(\bold{ x = 60}\)

Thus, The value of x is 60

Length of the first bundle of curtains

\(\sf{ = 2}{\sf{\times{60}}}\)

\(\bold{ = 120\: m }\)

Length of the second bundle of curtains

\(\sf{ = 5}{\sf{\times{60}}}\)

\(\bold{ = 300\ : m }\)

Length of the third bundle of curtains

\(\sf{ = 7 }{\sf{\times{60}}}\)

\(\bold{ = 420\: m }\)

Hence, The length of each bundle of curtains is 120m, 300 m and 420 m

The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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Answer:

It's 17/500

Step-by-step explanation:

I took the same test and I got it right!<3                                                                           pLeAsE gIvE bRaInLiEsT tYsM<3                                                                                           HaVe A wOnDeRfUl... WeEkEnD

Answer:

Step-by-step explanation:

Answer:

The answer would be 8.1

Step-by-step explanation:

Answer:

886.3 feet

Step-by-step explanation:

cos(10°) = d/900

d = 900 cos(10°) = 886.3 feet

Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

what is  expression ?

In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.

In the given question,

We can use the trigonometric identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b) to simplify cos(x - y), and cos(a + b) = cos(a)cos(b) - sin(a)sin(b) to simplify cos(x + y).

cos(x - y) = cos(x)cos(y) + sin(x)sin(y)

cos(x + y) = cos(x)cos(y) - sin(x)sin(y)

Therefore,

cos(x - y) - cos(x + y) = (cos(x)cos(y) + sin(x)sin(y)) - (cos(x)cos(y) - sin(x)sin(y))

= cos(x)cos(y) + sin(x)sin(y) - cos(x)cos(y) + sin(x)sin(y)

= 2sin(x)sin(y)

So, the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

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simplify the expressions  cos(x − y) − cos(x + y) ?

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).