Please help me... Has to be in my 1pm today and I have no idea... out of my league but I need to pass to get into the course I want

Please Help Me... Has To Be In My 1pm Today And I Have No Idea... Out Of My League But I Need To Pass

Answers

Answer 1

Answer:

AB  = -4i -7j

CD  = -5i + 4j

Step-by-step explanation:

i.) vector AB  = -4i -7j

 where i is the unit vector in the x direction and j is the unit vector in the y direction.

vector AB is 7 units down and 4 units west

ii)vector CD  = -5i + 4j

  vector CD is 5 units west and 4 units up


Related Questions

A person standing d = 144 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is a = 13°, while the angle of elevation to the top of the mirror is b = 12°. Find the vertical dimension of the mirror. (Round your answer to the nearest whole number.)

Answers

13.42 I think but I wish I could help

Answer:

13.42

Step-by-step explanation:

How much food can this container hold? Express your answer in terms of pi

Answers

Answer:

the container can hold 84.82 inches of food.

Step-by-step explanation:

radius = 3 in

height = 9 in

Volume of a cone = 1/3πr²h

                              = 1/3π(3)²(9)

                              = 27π in³

                             = 84.82 in

                             

I hope this help!

brainliest is appreciated... :}

Answer:

It’s 27 if your talking about I-ready

Step-by-step explanation:

which could be the function graphed below

Answers

Answer: A on Edge 2020

Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me

Answer:

a

Step-by-step explanation:

add: (3x^2-5x+6)+(-4x^2-8x+9)
A. -x^2-13x+15
B. 7x^2-13x+15
C. -x^2-13x+3
D. 7x^2+3x-3

Answers

Answer:

A. -x^2-13x+15

Step-by-step explanation:

-4x^2 + 3x^2 = -x^2

-8x + -5x = -13x

6 + 9 = 15

-x^2-13x+15

Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.

G1 = the first card drawn is green
G2 = the second card drawn is green

a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =
d. Are G1 and G2 independent?

Answers

a. P(G1 and G2) = 0.154 b. P(At least 1 green) = 0.592 c. P(G2|G1) = 19/49

d. G1 and G2 are not independent

Let's assume we are drawing cards from a deck without replacement.

There are two possibilities for the first card drawn (G1):

The first card drawn is green (G1).

The first card drawn is not green (Non-G1, which means it's either red or blue).

a. P(G1 and G2) = P(G1) * P(G2|G1)

Since we are drawing without replacement, after drawing a green card for G1, there is one less green card in the deck. Therefore:

P(G1) = Number of green cards / Total number of cards = 20/50 = 2/5

P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

So, P(G1 and G2) = (2/5) * (19/49) ≈ 0.154

b. P(At least 1 green) = 1 - P(no green cards) = 1 - P(non-G1 and non-G2)

P(non-G1) = Number of non-green cards / Total number of cards = 30/50 = 3/5

P(non-G2|non-G1) = Number of non-green cards remaining / Total number of cards remaining = 29/49

P(no green cards) = P(non-G1) * P(non-G2|non-G1) = (3/5) * (29/49)

So, P(At least 1 green) = 1 - P(no green cards) = 1 - (3/5) * (29/49) ≈ 0.592

c. P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

d. No, G1 and G2 are not independent because the outcome of drawing the first green card (G1) affects the probability of drawing a green card in the second draw (G2). The conditional probability P(G2|G1) is not equal to the unconditional probability P(G2).

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The value of the probabilities are: a) P(G1 and G2) =0.3182, b) P(At least 1 green) = 0.8485,c)  P(G2|G1) = 0.5455 and d) G1 and G2 dependent.

Given:

Total number of cards = 7 (green) + 5 (yellow)

                                     = 12 cards

a. Since the cards are drawn without replacement, the probability can be calculated as:

P(G1 and G2) = P(G1) * P(G2|G1)

P(G1) = Number of green cards / Total number of cards

        = 7 / 12

or, P(G2|G1) = Number of remaining green cards / Total remaining cards

                    =6/11

So, P(G1 and G2) = (7 / 12) * (6 / 11)

                            = 0.3182

b. P(At least 1 green) = 1 - P(Both yellow)

P(Both yellow) = P(Yellow1) * P(Yellow2|Yellow1)

P(Yellow1) = Number of yellow cards / Total number of cards

                 = 5 / 12

P(Yellow2|Yellow1) = remaining yellow cards / Total remaining cards

                               = 4 / 11

So, P(Both yellow) = (5 / 12) * (4 / 11)

                               = 0.1515

Therefore,

P(At least 1 green) = 1 - 0.1515

                               = 0.8485

c. Since one green card has already been drawn, there are now 6 green cards and 11 cards in total remaining:

P(G2|G1) = Number of green cards / Total remaining cards

              = 6 / 11

              = 0.5455

d. In this case, G2|G1 is not equal to the overall probability of G2.

This indicates that the events are dependent, as the probability of drawing a green card for the second draw changes based on the outcome of the first draw.

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4m is greater or less then 400 dm

Answers

Answer:

greater

Step-by-step explanation:

4m is greater than 400 dm

First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial: 1. 7 x 4 + 5 x 2 + x − 9 2. 7 x 6 − 4 x 3 + 1 /x

Answers

Final answer:

The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.

Explanation:

First, let's state the degree and identify the term with the greatest degree.

The polynomial 7x^4 + 5x^2 + x - 9 has a degree of 4. The monomial with the greatest degree is 7x^4. The polynomial 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent (1/x). Polynomials can only have non-negative integer exponents.

So, in summary:

1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.

2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.

The length of a rectangle is five times its width. If the area of the rectangle is 320m, find the perimeter

Answers

Answer: The perimeter is 96 m

Step-by-step explanation:

If we tag the length of the rectangle as [tex]l[/tex] and the width as [tex]w[/tex], and if in addition we are told [tex]l=5 w[/tex],the dimensions of the rectangle are as shown in the figure.

Now, the area of a rectangle is given by:

[tex]A=(l)(w)=320 m^{2}[/tex]

Since [tex]l=5 w[/tex]:

[tex]A=(5w)(w)=320 m^{2}[/tex]

Isolating [tex]w[/tex]:

[tex]5w^{2}=320 m^{2}[/tex]

[tex]w=\sqrt{\frac{320 m^{2}}{5}}[/tex]

[tex]w=8 m[/tex]

On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure [tex]w[/tex] and two sides that measure [tex]5 w[/tex], the perimeter is:

[tex]P=2(5)(w)+2w[/tex]

Substituting the value of [tex]w[/tex] in the last equation:

[tex]P=2(5)(8 m)+2(8 m)[/tex]

Finally the perimeter is:

[tex]P=96 m[/tex]

Final answer:

The perimeter of the rectangle is determined by first finding the width using the area given, then calculating the length as five times the width and using the formula P = 2l + 2w. The perimeter is 96 meters.

Explanation:

To solve for the perimeter of the rectangle when we know the area is 320m² and the length is five times the width, we first let w represent the width of the rectangle. Therefore, the length is 5w. Given that the area A is equal to the length times the width, we have the equation w × 5w = 320. Solving for w, we get w² = 64 so w = 8 meters.

Since the length is five times the width, it is 5 × 8 = 40 meters. The perimeter P of a rectangle is given by P = 2l + 2w, where l is the length and w is the width. Substituting the values we have, P = 2(40) + 2(8) = 96 meters.

Torique calculates that a weekend is 48 hours long and that he sleeps for 16 hours each weekend, 1/3 of the weekend. What fraction of each weekend does Tyrique spend awake? What percent represents that fraction?

Answers

If torique spends 1/3 aslee the rest would be 2/3

Final answer:

Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.

Explanation:

Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.

Total hours in a weekend: 48 hours

Sleeping hours: 16 hours

Awake hours: 48 hours - 16 hours = 32 hours

Now, we convert 32 hours to a fraction of the weekend.

Awake fraction: 32 hours / 48 hours = 2/3 of the weekend

Next, we convert this fraction to a percentage.

Awake percentage: (2/3) × 100 = 66.67%

Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
O y=2x-2
y=. 2x+ 2
Oy=2x+2

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = [tex]\frac{2-0}{0+1}[/tex] = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

2/3xd=10/9 what is d

Answers

Answer:d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

Final answer:

To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.

Explanation:

To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:



d = (10/9) * (3/2) = 30/18 = 5/3



Therefore, d = 5/3 or d ≈ 1.67.

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What is 70% of 38, please show work

Answers

Answer: 26.6

Step-by-step explanation: To solve this problem, let's ignore the first  2 words which are "what is."

So, we can really change the problem to say 70% of 38.

To find 70% of 38, first write 70% as a decimal by moving the decimal point 2 places to the left to get .70.

Next, the word "of" means multiply, so we have (.70)(38) which is 26.6.

So 70% of 38 is 26.6.

airline fairs for a flight from dallas to austin at $30 for first class and $ 25 for tourist class. the flight had 52 passengers who paid $1360, how many tourist class and first class passengers are there?

Answers

There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.

Let's define the number of first class passengers as x and the number of tourist class passengers as y.

We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360

We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12

So, there are 12 first class passengers.
Using y = 52 - x, we find:

y = 52 - 12 = 40

Thus, there are 40 tourist class passengers.

PLEASE HELPPPP WITH THIS

Answers

Answer:The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = y2-y1/x2-x1

1 -3 . 3 1

(1 - (-3))/(3-1)

4/2

2

Slope = 2

y = mx + b

y = 2x -5

3.) Slopes of parallel/perpendicular lines
FIND THE SLOPE OF THE GIVEN LINE




b.) ​What is the slope of the line parallel to the line in Part A above? How do you know? What is the relationship between lines that are parallel?



c.) ​What is the slope of the line perpendicular ​to the line in Part A above? How do you know? What is the relationship between lines that are perpendicular?

Answers

1. Slope of given line = -1/2

2. Slope of line parallel to given line = -1/2

3. Slope of line perpendicular to given line = 2

Step-by-step explanation:

1. Slope of Given line:

We can see that there are two points on the line(highlighted by dots)

Let the two points be (x1,y1) and (x2,y2)

Then

(x1,y1) = (2,2)

(x2,y2) = (-2,4)

The formula for slope is given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{4-2}{-2-2}\\m = \frac{2}{-4}\\m = -\frac{1}{2}[/tex]

Hence, the slope of given line is -1/2

2. Slope of line parallel to given line

Let [tex]m_1[/tex] be the slope of the line parallel to given line.

The slopes of two parallel lines are equal as they change at same rate with respect to x-axis.

So,

[tex]m = m_1\\-\frac{1}{2} = m_1[/tex]

Hence,

The slope of line parallel to given line will also be -1/2

3. Slope of line perpendicular to given line:

Let m_2 be the slope of line perpendicular to given line

The slope of line perpendicular to a given line is the negative reciprocal of the slope of first line or simple it can be put like " The product of slopes of two perpendicular lines is -1"

So,

[tex]m.m_2 = -1\\-\frac{1}{2}.m_2 = -1\\m_2 = -1 * -2\\m_2 =2[/tex]

Hence,

The slope of line perpendicular to given line is: 2

Keywords: slope, parallel lines

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According to the graph, what is the value of the constant in the equation
below?
Height = Constant . Width
• (6, 15)
Height
10-
(3,9)
6+
(2,6)
2 to (0.5, 1.5)
-
4
6
14 16 18 20
8 10 12
Width

Answers

Answer:

The value of the constant is 3

Step-by-step explanation:

Let

y ----> the height

x ----> the width

we have

[tex]y=kx[/tex]

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

[tex]k=\frac{y}{x}[/tex]

For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]

For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]

For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]

therefore

The value of k is equal to 3

The linear equation is

[tex]y=3x[/tex]

or

[tex]Height=3Width[/tex]

Answer:

I had done this on A P E X and it said it was 80

What is the difference between the lowest

temperature and the highest?

Time Temperature

Midnight. -6°C
4 am - 8°C
8 am -4°C
noon 7°C
3 pm 6°C
7 pm -2°C

Answers

Answer:

14

Step-by-step explanation:

highest temperature = 6°c

lowest temperature = -8°c

difference = 6-(-8)

14

Final answer:

The difference between the lowest temperature of -8°C and the highest temperature of 7°C is 15°C.

Explanation:

The difference between the lowest temperature and the highest temperature is found by subtracting the lowest temperature from the highest temperature listed in the data. According to the given temperatures, the lowest temperature is -8°C at 4 am and the highest temperature is 7°C at noon. To find the difference, we calculate 7°C - (-8°C), which equals 15°C. Thus, the temperature range is 15°C.

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Evaluate
Evaluate -(-7)7

Answers

Answer:

The answer is 49 because -(-7)×7 =7×7 = 49

Yo sup??

-(-7)7

=(-1)*(-1)*7*7

=1*49

=49

Hope this helps.

Solve using substitution:
y = -3x + 5
5x - 4y = -3​

Answers

Answer:

x = 1 y = 2

Step-by-step explanation:

5x - 4y = -3

5x - 4 (-3x + 5) = -3

5x + 12x - 20 = -3

17x - 20 + 20 = -3 + 20

17x = 17 ÷ 17

x = 1

y = -3x + 5

y = -3 (1) + 5

y = -3 + 5

y = 2

Heather won 33 super bouncy balls playing basketball at the county fair. At school she gave two to every student in her math class. She only has 5 remaining. How many students are in her class?

Answers

Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.

Hope this helps, if not, comment below please!!!

Answer:

The answer is 14.

Step-by-step explanation

33-5=28

28/2=14

what type of function is f(x)3^(-2x)

Answers

Answer:

exponential function

Step-by-step explanation:

If a triangle has side lengths 27, 79, and 84 is it a right triangle

Answers

Answer:

Nope

Step-by-step explanation:

A right triangle must have a 90 degree angle.

PLEASE HELP ME!!!


Ms. Grady has 150 pictures in an album. Of these pictures, 48 show her friends, 24 show her family, and 78 show
only Ms. Grady. Ms. Grady is in of the pictures that show her friends and of the pictures that show her family.
Based on this information, which statement is true?
a. The probability of randomly selecting a picture that shows Ms. Grady is 76%.
The probability of randomly selecting a picture that shows Ms. Grady with her friends is greater than the
probability of randomly selecting a picture that shows Ms. Grady with her family.
The probability of randomly selecting a picture that does not show Ms. Grady is 52%.
d. The probability of randomly selecting a picture that shows Ms. Grady with her family is 3 times the
probability of randomly selecting a picture that shows only her friends.​

Answers

Answer:

B

Step-by-step explanation:

the others wouldn't make seans

how do you solve 23.61 divided by 3

Answers

Answer:

7.87

Step-by-step explanation

Divide

the answer is 7.87 just divide 23.61 and 3

| 2.) Are the two expressions below equal?
4a + 4a + 3a and 7a + 3a
Please help

Answers

Answer:

21a

Step-by-step explanation:

yes they are equal.. all you need is just to add all the number to get your answer!

Answer:

21a

Step-by-step explanation:

because ,

4a+4a+3a =11a

and 7a+3a=10a

and they are equal so what you need is that

just to add them and for maths (and) means addition ..... so therefore the answer is 21a

The coffee cups can hold 7/9 of a pint of liquid. If Emily puts 2/3 of s pint of coffee into a cup, how much milk can a customer add?

Answers

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

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Amount of milk add by customer is 1/9 pint of liquid

Given that;

Holding capacity of cup = 7/9 pint of liquid

Liquid fill by Emily = 2/3 pint of liquid

Find:

Amount of milk add by customer

Computation:

Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily

[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]

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I have my friends answer but I need to show working out?

Answers

Answer:

42

Step-by-step explanation:

You change 1/2 to 3/6

1/2=3/6

Then, you take 3-1=2 to find the difference

Next, as you found out that 2 units equals to 14, you take 14÷2=7

As there are 6 units, you take 7×6=42

Thus, the answer 42

Answer:

42

Step-by-step explanation:

Let total no. of trees be 'X'

Lemon are (1/6) of X = X/6

Orange are (1/2) of X = X/2

Difference is 14

X/2 - X/6 = 14

Lcm is 6

(3X-X)/6 = 14

2X = 14×6

X = 42

What is the simplest form for 28 out of 32

Answers

Answer:

7/8 decimal form: 0.875

Step-by-step explanation:

28        4

----   ÷   ----   = 7/8

32        4      

which of the following is equivalent to log9w

Answers

what do you meanAnswer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Did the 2020 edge quiz

This really doesn’t make sense to me... Please explain and tell me the answer

Answers

Answer:

d)

Step-by-step explanation:

the answer would be d) because complementary angles equal 90 and, it said that angles d) and a) are complementary. well it would be false since d=125 and obviously angle a) would also be 125 since they are vertical angles

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This is an example ofa. gene flowb.an adaptationc.genetic driftd. a founder effecte. gene pools For all of the following questions, refer to the following table, which gives financial information for Apple for fiscal year 2002 (in millions): Sales $5,742 Cash (includes marketable securities) $4,337 Cost of Sales 4,139 Accounts Receivable 565 Gross Profit 1,604 Current Assets 5,388 Net Income 65 Total Assets 6,298 Operating Cash Flow 89 Current Liabilities 1,658 Total Liabilities 2,203 Sales (fiscal year 2001) 5,363 Total Equity 4,095 Net Income (fiscal year 2001) -25 Total Assets (fiscal year 2001) 6,021 Accounts Receivalbe (fiscal year 2001) 466 In Apple's 2002 common-size income statement, gross profit is equal to: a. 27.9% b. 100.0% c. 24.7x d. 4.1% A double-pane insulated window consists of two 1 cm thick pieces of glass separated by a 1.8 cm layer of air. The window measures 4 m in width and 3 m in height. The inside air is at 27C with a convection coefficient of 12 W/m2K, and the outer surface of the glass is at -10C. (a) Sketch the thermal circuit. (b) Find the temperature of the glass surface inside the room. (c) Calculate the heat loss through the window. (d) Which, if any, thermal resistances are negligible (less than 1% of the total)? When industries are limited by the size of the domestic market, opening trade to the world markets will likely lead to ________ and ________ real GDP per capita in the domestic country. a. diseconomies of scale; increase b. diseconomies of scale; decrease c. economies of scale; increase d. economies of scale; decrease Solve for n: -6(n-8)=4(12-5n)+14n help hurry plzzzzzzzzzz Fill in the blank:Lucy, ___, Daka, Bodo write the linear equation that goes through the points (2, 20) and (-3, 8). * Assuming that data mining techniques are to be used in the following cases, identify whether the task required is supervised or unsupervised learning. a. Deciding whether to issue a loan to an applicant based on demographic and financial data (with reference to a database of similar data on prior customers). b. In an online bookstore, making recommendations to customers concerning additional items to buy based on the buying patterns in prior transactions. c. Identifying a network data packet as dangerous (virus, hacker attack) based on comparison to other packets whose threat status is known. d. Identifying segments of similar customers. e. Predicting whether a company will go bankrupt based on comparing its financial data to those of similar bankrupt and nonbankrupt firms. f. Estimating the repair time required for an aircraft based on a trouble ticket. g. Automated sorting of mail by zip code scanning. h. Printing of custom discount coupons at the conclusion of a grocery store checkout based on what you just bought and what others have bought previously When a honeybee flies through the air, it develops a charge of +18pC. How many electrons did it lose in the process of acquiring this charge? Gramps purchased a joint survivor annuity that pays $700 monthly over his remaining life and that of his wife, Gram. Gramps is 70 years old and Gram is 65 years old. Gramps paid $145,530 for the contract. How much income will Gramps recognize on the first payment? Help ASAP!!! Which expression gives the length of the transverse axis of the hyperbolashown below? This is a type of punishment handed out to youths in which military-style programs are sentenced, rather than harsher jail or prison sentences. Solve the system is of linear equations by substitution.What is the solution to x=2y+7 and 3x+2y=3? Waterway Industries reported the following year-end information: Beginning work in process inventory $1080000 Beginning raw materials inventory 300000 Ending work in process inventory 900000 Ending raw materials inventory 480000 Raw materials purchased 1200000 Direct labor 1060000 Manufacturing overhead 780000 Waterway Industries's cost of goods manufactured for the year is 1. $3220000. 2. $2860000. 3. $2680000. 4. $3040000. The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 days.1- Assume the distribution is bell-shaped (symmetric). The percent of pregnancies last between 236 and 281 days is approximately, [ Select ] ["81.5 %", "19.5%", "68%", "99.7%", "95%"]2- - Assume the distribution is bell-shaped (symmetric). The percent of pregnancies last between 236 and 296 days is approximately, [ Select ] ["75%", "68%", "99.7%", "95%"] 3- - Assume the distribution is not bell-shaped ( non symmetric). The percent of pregnancies last between 236 and 296 days is approximately, [ Select ] ["85%", "75%", "99.7%", "88.9%", "95%"] Explain how you find a solution to a system of linear inequalities. Suppose that commodity prices across the economy begin to fall and consumers and firms begin to expect a lower rate of future inflation. What do we expect to happen to the SRAS curve and shortrun Phillips curve?A. The SRAS curve will shift to the left, and the shortrun Phillips curve will shift downward. B. The SRAS curve will shift to the right, and the shortrun Phillips curve will shift downward. C. The SRAS curve will shift to the left, and the shortrun Phillips curve will shift upward. D. The SRAS curve will shift to the right, and the shortrun Phillips curve will shift upward. E. The LRAS curve will shift to the right, and the shortrun Phillips curve will shift upward The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length ll of the garden is 24 feet longer than the width ww of the garden, what is the area of the garden, in square feet?