assignment dueee helppp 40 points

Assignment Dueee Helppp 40 Points

Answers

Answer 1

Answer:

1) 38

2) 18

Step-by-step explanation:

Answer 2

1) 4m - 2t

m = 10

t = 2

(4 * 10) - (2 * 2)

40 - 4 = 36

Answer : 36

2) t + 2m - 4

m = 10

t = 2

2 + (2 * 10) - 4

22 - 4 = 18

Answer : 18

3) m/2t

m = 10

t = 2

10/(2*2) = 2.5

Answer : 2.5


Related Questions

290951.867863 rounded to the nearest hundred

Answers

This is quite easy. Looks hard but all you do is look to the right of the first 6 and since it’s 5 or higher the 6 turns into a 7.

Answer =290951.87

3/1(x+9)-2
steps to figure out problem and answer

Answers

Answer: 3x+25

Step-by-step explanation: Fraction 3/1 is the same as 3. Using PEMDAS we multiply the numbers in the parenthesis 3x+3x9-2, 3x+27-2, Answer=3x+25

Find the area of a circle with radius 6 in. Use the value 3.14 for π, and do not round your answer.

Answers

Step-by-step explanation:

Área of a circle is given as

[tex]\pi \times {r}^{2} [/tex]

Therefore you can substitute the values as follows:

[tex]3.14 \times {6}^{2} = 113.09733552923[/tex]

Answer not rounded to any decimal place and used of 3.14 as said in the instruction

The area is:

113.04 in²

Explanation:

To find the circle's area, use the formula [tex]\sf{A=\pi r^2}[/tex].

where:

A = area;

π = 3.14 (pi);

r = radius

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 6\ in}\end{picture}[/tex]

Plug in the data:

[tex]\sf{A=3.14\times6^2}[/tex]

[tex]\sf{A=3.14\times36}[/tex]

[tex]\sf{A=113.04\:in^2}[/tex]

Which of the following expressions have the same value as the mixed number

Answers

Answer:

-29/4-7 - 1/4- (7 + 1/4)

Step-by-step explanation:

your welcome <3

What does it mean to invest in a stock

Answers

Step-by-step explanation:

When you buy a company's stock, you're purchasing a small piece of that company, called a share. Investors purchase stocks in companies they think will go up in value. If that happens, the company's stock increases in value as well. The stock can then be sold for a profit.

Stocks are an investment that means you own a share in the company that issued the stock. Simply put, stocks are a way to build wealth. This is how ordinary people invest in some of the most successful companies in the world. For companies, stocks are a way to raise money to fund growth, products and other initiatives.

Temperature Suppose there is a 1.6°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 46.2°F, what
will be the temperature when the plane reaches an altitude of 10,000 ft?
The temperature will be
PF. (Type an integer or a decimal.)

Answers

The temperature at 10,000 feet altitude will be 30.2 ° F.

We are given that:

As the airplane moves 1000 feet above the ground, the temperature drops by 1.6 ° F.

Now, the temperature on the ground is given as

Temperature on ground = 46.2 ° F

Now, the plane is at the altitude of 10,00 feet.

We need to tell the temperature at that altitude.

At 1000 feet, temperature drops by = 1.6 ° F.

At 10000 feet, the temperature will drop by = 1.6 ° F. × 10,000 / 1000

= 16 ° F.

So, the temperature will be = 46.2 ° F - 16 ° F

Temperature = 30.2 ° F

Therefore, the temperature at 10,000 feet altitude will be 30.2 ° F.

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A rectangular area is being fenced in along a river that serves as one side of the rectangle.
(a) Write an expression for the total amount of
fencing needed in terms of the width, w, and the
length, 1.
(b) If w=12 feet and 1= 20 feet, how much fencing
is needed? Use proper units
W
river
W
(c) If the amount of fencing we have available is 120 feet and we want to devote 30 feet of it to the length, 1,
then set up an equation to solve for w and find the width.

Answers

a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = F = l + 2w

b. F = 44 ft

c. The width (w) = 45 ft.

What is the Perimeter of a Rectangle?

Perimeter of rectangle = 2(length + width)

a. Total amount of fencing needed = perimeter of the rectangular area excluding one length of the side close to the river = l + 2w

F = l + 2w

b. w = 12 ft

l = 20 ft

Amount of fencing needed, F = l + 2w = 20 + 2(12)

F = 44 ft

c. F = 120 ft

l = 30 ft

Substitute F = 120 and l = 30 into F = l + 2w to solve for w

120 = 30 + 2w

120 - 30 = 2w

90 = 2w

90/2 = w

w = 45

The width (w) = 45 ft.

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rita traveled 1,250 miles in the first 3 days of her trip. at this rate, how long will it take her to travel 1,875 miles? how much would it cost

Answers

the time taken by Rita to travel 1875 miles is 4.5 days, by unitary method.

What is unitary method?

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

Travelled 1250 miles in 3 days.

To find: Time taken to travel 1875 miles.

Finding:

By unitary method,

Time taken to travel 1250 miles = 3 days

Time taken to travel 1 mile = [tex]\frac{3}{1250}[/tex] days

Time taken to travel 1875 miles = [tex]\frac{3}{1250}(1875) = 4.5[/tex] days

Hence, the time taken by Rita to travel 1875 miles is 4.5 days, by unitary method.

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math wizard! help me out

Answers

Answer: 27 days 60 miles

Step-by-step explanation: 162/6=27

6x17=102 162-102=60

Step-by-step explanation:

no wizardry is needed, as the function is already there. we only need to use it.

(a)

find d, so that 162 - 6d = 0 (0 miles are left)

162 - 6d = 0

162 = 6d

d = 162/6 = 27

it will take them 27 days.

(b)

L(17) = 162 - 6×17 = 162 - 102 = 60 miles

after 17 days they still have to lay 60 miles.


The shaded area of the square is:
14 12 34


Answers

Answer:

5902

Step-by-step explanation:

that's what it tells with my calculations

"One subtracted
from the
product of 4 and
a number is Il”

Answers

The number will be 3.

How to calculate the value?

Let the number be represented by x.

Therefore based on the information, the equation will be:

(x × 4) - 1 = 1

4x - 1 = 11

Collect like terms

4x = 11 + 1

4x = 12

Divide

x = 12/4

x = 3

The number is 3.

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helllllp asap pls!!!!!

Answers

6. The measure of each angle is  m∠ E = 46°, m∠ D = 46°.

Angle of elevation from point A to B (∠ E ) is the angle between the horizontal line from A to B.

And, Angle of depression from B to A ( ∠D ) is the angle from the horizontally downward line from B to A.

As we can see that  all the horizontal lines are in parallel to each other,

Alternative Interior Angle :  When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

With the help of above theorem,

Angle of elevation from point A to B = Angle of depression from point B to A,

∠E and ∠D are interior opposite angles.

Then,  m ∠ E = m ∠ D

3x + 1 = 2(x + 8)  ( Given )

3x + 1 = 2x + 16

x = 15,

So, m∠ E = 3x + 1 = 45 + 1 = 46°

Hence,  m∠D = 46°

7. The measure of each angle is m∠ E = 20°, m∠ D = 20°.

By following same method as given above we will solve this question.

So, As we know that

Angle of elevation from point A to B = Angle of depression from point B to A,

∠E and ∠D are interior opposite angles.

Then,   m ∠ E = m ∠ D

5(x - 2) = (x + 14)

5x - 10 =  x + 14

  5x -x = 14 + 10

      4x = 24

        x = 24/4 = 6

So, m∠ D = (x + 14) = 6 + 14 = 20°

Hence, m ∠ E = 20°

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The sum of two numbers is 125 and their difference is 47. Find each of the numbers

Answers

86 and 39

Step-by-step explanation:

let A is the first letter and B is the second number

A+B=125

A-B=47

2A=172

A=86

A+B=125

86+B=125

B=125-86

B=39

-1/4 divided by (-7/9)

Answers

Answer:

9/28

Step-by-step explanation:

when you divide a fraction by fraction you need to multiply the left fraction by the opposite of right fraction so -7/9 becomes -9/7 and then you multiply -1/4 by -9/7. When you multiply negative with negative you get a positive value.

it's better to display fractions vertically like this to understand better

1

_

4

Answer:9/28

Step-by-step explanation:

find the quotient 4 4/5 divided by 4/5

Answers

Answer:

Step-by-step explanation:

6

The answer to this question is 6.

What do you need to add to -6 to get 10? i need helppp

Answers

Answer:

16

Step-by-step explanation:

x+(-6)=10 Take (-6) to the other side it becomes (+6).

x= 10 + 6

x=16

Write a quadratic function to model the graph to the right.
f(x)

Answers

The quadratic equation to model the graph is y = x² - 6 · x + 14.

How to derive the expression of a quadratic equation from a graph

The picture presents us the graph of a parabola, whose algebraic expression is a quadratic equation. In accordance with fundamental theorem of algebra, a quadratic equation can be derived by knowing three distinct points on Cartesian plane.

If we know that (x, y) = (0, 14), (x, y) = (3, 5) and (x, y) = (6, 14), then the coefficients of the quadratic equation in standard form:

14 = c                                       (1)

5 = 9 · a + 3 · b + c                  (2)

14 = 36 · a + 6 · b + c              (3)

The solution of the system of linear equations is (a, b, c) = (1, - 6, 14). Hence, the quadratic equation to model the graph is y = x² - 6 · x + 14.

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In the segment below, QV = 23. QT = 8. TR = RS = SV.

Answers

Answer:

RS = 5

QS = 18

TS = 10

TV = 15

Step-by-step explanation:

Given QV = 23 and QT = 8 and TR = RS = SV

now, we subtract the length of QT from the whole line, QV

23 - 8 = 15 then we divide this by 3 because TR = RS = SV so there must be 3 equal pieces

15 ÷ 3 = 5

RS = 5

QS = QT + TR + RS so

QS = 8 + 5 + 5

QS = 18

TS = TR + RS so

TS = 5 + 5 and

TV = TR + RS + SV

TV = 15

Write the rational numbers as a decimal:

7/8

1/1

-7/9

-17/40

1 and 5/6

-2 and 17/18

-5 and 7/12

8 and 15/22

Answers

Answer:

7.8

-7.9

-17.40

1. 5.6

-2. 17.18

-5. 7.12

.8 15.22

Step-by-step explanation:

9 A and B are integers. A = 300,000 to the nearest 100,000 B = 300,000 to the nearest 10,000 a) What is the greatest possible value of A + B? b) What is the smallest possible value of A + B? c) What is the greatest possible value of A - B?​

Answers

The greatest possible value of A + B is 600000.

The smallest possible value of A + B is 600000.

The greatest possible value of A - B is 0.

How to illustrate the information?

It should be noted that from the information, A and B are integers.

A = 300,000 to the nearest 100,000

B = 300,000 to the nearest 10,000

Therefore, the greatest possible value of A + B will be:

= 300,000 + 300,000

= 600000.

The smallest possible value of A + B is also, 600000.

The greatest possible value of A - B will be:

= 300,000 - 300,000

= 0.

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tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. in the high season, 1200 people come to the zoo every day. on a certian day, the total revenue at the zoo was $5300. for every 3 teenagers, 8 children went to the zoo. how many teenagers went to the zoo? a. 100 teenagers c. 300 teenagers b. 200 teenagers d. 400 teenagers please select the best answer from the choices provided a b c d

Answers

According to the given statement the teenagers went to the zoo = 300

What is linear equation explain?

First order equations include linear equations. In the coordinate system, the linear equations have been defined for lines. A linear equation throughout one variable is one in which there is a homogeneous variable having degree 1 (i.e., only one variable). many  variables have present in a linear equation.

According tot the given information:

6a+4c+5t = 5300......................(equation)

a+c+t = 1200

3c-8t = 0

So,

Putting the value a= 1/6

6a+4c+5t = 5300

0.333c+0.167t = 316.667

3c-8t = 0

solving for the value of t:

6a+4c+5t = 5300

3c-8t = 0

1.056t = 316.667

So,

t = 316.66666667/1.05555556

= 300

According to the given statement the teenagers went to the zoo = 300.

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Mom is getting food ready for my birthday party! Including me, there will be 28 people at the party. Mom is baking cookies for us! She can bake 24 cookies per batch. How many batches should I tell Mom to make so we can each have 5 cookies?​

Answers

Answer:

The answer would be six batches of cookies.

Answer:

6 batches

Step-by-step explanation:

so 28 people including you

24 cookies per batch

5 cookies each

24 cookies in each batch, if you round that up it would be 30 and 30 x 5 = 150, so instead of rounding the amount of cookies, add 1 more to the amount you multiply 24 by

then it would be 24 x 6 = 144

now divide that by 28

144/28= 5 1/6

it would take 6 (7 if everyone gets whole numbers of cookies because It would be a fraction if not 7) batches to make sure everyone gets cookies

double check:

24 times 6 =  cookies

144/28= 5 1/6

Which is the best definition of substitution?
The process of combining the coefficients of terms that have the same variable.
The process of simplifying an expression using the order of operations.
The process of replacing variables with numeric values.
The process of multiplying a base by itself three times.

Answers

The best definition of substitution is C. The process of replacing variables with numeric values.

What is substitution?

It should be noted that substitution is the way that can be used to solve linear system algebraically.

Therefore, the definition of substitution is the process of replacing variables with numeric values.

In conclusion, the correct option is C.

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A​ 150-pound person uses 5.9 calories per minute when walking at a speed of 4 mph. how long must a person walk at this speed to use at least 250 ​calories?

Answers

The time taken when the person wants to burn 250 calories will be 42.37 minutes.

How to illustrate the information?

From the information, the 150-pound person uses 5.9 calories per minute when walking at a speed of 4 mph.

Therefore, the time taken when the person wants to burn 250 calories will be:

= Number of calories / 5.9

= 250 / 5.9

= 42.37 minutes.

Therefore, the time taken when the person wants to burn 250 calories will be 42.37 minutes.

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The volume of a triangular prism is 1380 cubic centimeters. Its base is a right triangle with legs measuring 8 centimeters and 15 centimeters. What is the height of the prism?

A. 34.5 \mathrm{~cm}
B. 23 \mathrm{~cm}
C. 17cm
D. 11.5 \mathrm{~cm}

Answers

Answer:

Step-by-step explanation:

V=Bh

Subsitute area of base by putting area of right triangle 1/2*8*15.

1380=1/2*8*15*h

Solve for value of h

h=23 cm

Option B is correct.

The length of a bacterial cell is about 4 x 10 to the negative power of 6 m, and the length of an amoeba cell is about 2.5 x 10 to the power of 4 m. How many times smaller is the bacterial cell than the amoeba
cell? Write the final answer in scientific notation with the correct number of significant digits.
A. 06.25 x 10²
B. 2x10²
C. 6x 10¹
D. 16 x 10¹

Answers

The number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10

How many times smaller is the bacterial cell than the amoeba cell?

The given parameters are:

Bacteria cell = 4 x 10^-6 m

Amoeba cell = 2.5 x 10^4 m

The number of times (n) is calculated as

n = Amoeba cell/Bacteria cell

This gives

n = (4 x 10^-6 m)/(2.5 x 10^4 m)

This gives

n = 1.6 * 10^-10

Hence, the number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10

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with show work please. a and b.

Answers

Step-by-step explanation:

(a)

the sum of all internal angles in a polygon with n sides is

(n - 2)×180.

since in a regular polygon all angles are equally large, we get for one internal angle :

(n - 2)×180/n

for our hexagon this means the internal angle is

(6 - 2)×180/6 = 4×30 = 120°

(b)

the area of the hexagon is (as the graphic so nicely suggests) the sum of the areas of all 6 inner triangles.

the area of a triangle is

baseline × height / 2

baseline = 10 cm

the height (from the tip of the triangle down to the baseline in a right angle) is half of 17.3 cm, because these 17.3 cm are the sum of the 2 heights of 2 triangles placed tip to tip.

so, height = 17.3/2 = 8.65 cm

the area of one of the triangles is therefore

10 × 8.65 / 2 = 5 × 8.65 = 43.25 cm²

the total area of the hexagon is then

6 × 43.25 = 259.5 cm²

Please Help! Best answer gets Brainliest.
Find P on NM that is the given fractional distance from N to M. Please explain.

Equation:

1/5; N (-3, -2), M (1, 1)

Answers

The coordinates of the point P that partitions the Line N, into the ratio 1:5 is; P(x, y) = (-14/6), (-9/6)

How to partition line segment?

We are told that the point P partitions the Line N, into the ratio 1:5.

Now, the coordinates of N and M are;

N(-3, -2), M(1, 1)

The formula to find the coordinates that partition a line is;

P(x, y) = (bx1 + ax2)/(a + b), (by1 + ay2)/(a + b)

where the ratio is a:b. Thus;

Thus, the coordinates of point P here are calculated as;

P(x, y) = (5*-3 + 1*1)/(1 + 5), (5*-2 + 1*1)/(1 + 5)

P(x, y) = (-14/6), (-9/6)

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Use the distribution property to rewrite the expression. Then evaluate.
-3(2x-6)

Answers

Answer: -6x+18

Step-by-step explanation:

-3(2x-6)=

-3*2x-(-3*6)=     ==> During distribution

-6x-(-18)=-6x+18    ==> After distribution property

Find the coordinates of P that represents the weighted average of A and B, where point A has a weight of 4 and point B has a weight of 1

Answers

Using the weighted mean, the coordinates of P are given as follows:

x: (4xA + xB)/5.y: (4yA + yB)/5.

What is the weighted mean?

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

In this problem, we have these following points:

Point A with a weight of 4.Point B with a weight of 1.

Applying the weighted mean, the coordinates of P are given as follows:

x: (4xA + xB)/5.y: (4yA + yB)/5.

In which xA and yA are the coordinates x and y of point A, and xB and yB are the coordinates x and y of point B.

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Other Questions
When Hayden and Henry Holbrook were just 10 months old, their parents enrolled them in swimming lessons at the local pool. By the time they were 10 years old, both boys were excellent swimmers. Hayden was best at the backstroke, Henry at the forward crawl. They were identical twins but they were complete opposites in almost every way. While Hayden liked swimming at the pool where the water was warm and familiar, Henry preferred to swim outdoors. He loved to swim in the pond in their backyard or at the lake where they went to camp each summer. Henry liked to try new things and had recently enrolled in a sea swim race in Delaware, about 3 hours from the boys' home in Elizabethtown, PA.Hayden and Henry had never been to the ocean before. They had travelled a lot in the Midwest, where their grandparents lived, and to upstate New York in the summertime, but they had never been to the coast. Hayden had learned a lot about the New England coast during his shipwreck phase, when he watched loads of documentaries and read every book in the library on the topic."The race is in May, right? According to my research, the temperature of the ocean at the time of year is a chilly 50 degrees," Hayden informed his brother. Henry couldn't be deterred. "Water's water. It's all the same," Henry replied to Hayden's doubts.Henry trained hard. He swam every morning before school at the community pool since the pond was still frozen over. He knew the ocean would be different, but he was determined to take part in the race. Henry thought he even had a good chance of winning in his age category.Soon, spring sprung in New England, and the Holbrooks set out for the sea race weekend on Fenwick Island. That evening, the whole family sat on the beach and watched the sunset as the waves rolled in. Hayden regaled everyone with stories of pirate buccaneers and long-lost shipwrecks, but Henry was unusually quiet. When they had walked along the boardwalk earlier, he had seen a sign warning swimmers about the possibility of jellyfish in the water. Henry never had to worry about jellyfish in the pool, pond, or lake. Perhaps water wasn't just water. One of the boys' favorite movies had a scene where the bad guy tried to flee the scene of a crime on a speedboat, only to fall off and get stung repeatedly by jellyfish. Every time they watched it, the brothers laughed and laughed. Henry wasn't laughing now. He couldn't stop thinking about how much it would hurt if he got stung by a jellyfish during the race. He wasn't sure if he wanted to compete anymore.Hayden soon noticed the look of worry on his brother's face. As they strolled back toward their hotel in the pink twilight, Hayden asked his brother what was on his mind."Jellyfish," Henry responded.Hayden laughed, "Yeah, I was thinking of that scene, too, when we walked past the boat rental place earlier. It cracks me up every time.""I won't be laughing if I get stung during the race tomorrow," Henry said sharply. Then, looking at his brother, he said more softly, "I'm scared of them. I think I'm going to pull out of the race."Hayden was surprised to hear his twin say this. Henry had always been the confident one, always up for taking risks. Giving up just wasn't his style. It upset Hayden to see his brother looking so down and upset, and he knew he had to do something to comfort his brother as Henry had done for him so many times before. Like bolts of lightning, facts that Hayden had read about jellyfish began to zigzag through his mind. 'Of course!' he thought."Henry, remember how I said that the average water temperature in the Atlantic would be around 50 degrees just now?""That's not helpful, Hayden," Henry sighed. "I'm prepared for the cold, just not the possibility of pain.""No, no, that's not my point," Hayden continued excitedly, "Jellyfish prefer warm waters! It's far too cold for them to be out and about in the ocean right now. The probability that you'll see a jellyfish tomorrow, let alone be stung, is very low," he finished triumphantly.A smile spread across Henry's face. "That's brilliant news, Hayden! Thanks so much. I can always count on you and your random knowledge to save the day!" he laughed, throwing his arm around his brother's shoulder.Henry slept like a log that night. The next day, he dove head first into the ocean and swam with all his heart. Just as he had hoped, Henry won his race. When he took the podium to collect his medal, no one was cheering louder than Hayden. He was so happy for his brother and that his words had been so helpful.What is the theme of the story?Group of answer choicesWith great success, there are obstacles to overcome.Be loyal to your friends.Honesty is the best policy.Don't put off til tomorrow, what you should have done today. A+sample+of+a+radioactive+substance+decayed+to+95%+of+its+original+amount+after+a+year. what+is+the+half-life+of+the+substance? please helpp i am behind. Which atom has the highest ionization energy?O KO znO SeO Ca The North Central Plains' largest city is which of the following?Question 8 options:A. Fort WorthB. Austin C. Houston D. El Paso the contingency approaches explain the relationship between leadership styles and effectiveness in specific situations. What changes have been made to regulate deforestation? Cu 61: How deep is this river? ~ Its ......A. depthC. deepdeepnessB.Cu 62: You should protect your skin from the sunA. so thatburn........... is 10 meters.D. deepthB. becauseC. otherwiseyou don'tD. so as which is one of the four steps of active listening? select one: hearing and concentrating evaluating and responding quoting and paraphrasing receiving and attending The types of accounts which affect retained earnings are? assets. dividends. revenues. expenses. liabilities. One number is 5 less than twice anothernumber. If the sum of the numbers is 7, findboth numbers Explain how a cognitive behaviour therapist would treat a person with Bipolar Idisorder. (6 marks) Which core process of business involves analyzing and understanding how success will be accomplished? Magical Realism is a fictional genre that was created in the Americas. In Unit 2, we read two examples of Magical Realism in The Youngest Doll and The Third Bank of the River. In at least two complete paragraphs (each paragraph being a minimum of 5 sentences), compare and contrast these two texts together. What do they have in common? What is unique about each text? In your answer, be sure to explain what the symbolic meaning is in each authors use of fantasy elements. Also, use direct quotes, correctly cited, from each story to support your response. A recent survey by the american automobile association showed that a family of two adults and two children on vacation in the united states will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. if the data are normally distributed, find the percentage of these families who spent: a. less than $167 per day. b. less than $367 per day. c. more than $247 per day. d. more than $350 per day. e. less than $67 per day. f. between $200 and $300 per day. g. between $360 and $400 per day. h. more than the median. i. less than the mean. Which method of measuring weight involves complaining person weight and height which school of thought contends that there are no general laws that govern everything in the universe, or if there are, they can never be known? british government 4% perpetuities once paid 4 interest each year forever. another bond, 2.5% perpetuities, paid 2.50 a year forever. what was the value of 4% perpetuities if the long-term interest rate was 6%? if f(x)=2x2+5 then f(-3)= What were the ice ages