The graph of a sinusoidal function has a maximum point at (0, 7) and then intersects its midline
at (3, 3).

Answers

Answer 1
(3.077)weehhdhdjdhdbdhfhfbdbdn
Answer 2

Answer: 4cos(pi/6x)+3

Step-by-step explanation:


Related Questions

In a small forest, a certain species of tenrecs doubles in number every
year. Write a function, f(x), that models the number of tenrecs after X
years if there were originally 698 tenrecs.

Answers

The function, f(x), that models the number of tenrecs after x years is f(x) = 698(2)^x

How to determine the equation of the function

From the question, we have the following parameters that can be used in our computation:

Initial value, a = 698

Rate, b = 2 i.e. doubles

Using the above as a guide, we have the following:

f(x) = ab^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 698(2)^x

Hence, the function is f(x) = 698(2)^x

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In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?

A. 88°
B. 90°
C. 99°
D. 100°

Answers

Answer:C

Step-by-step explanation:

interior angles of a triangle, when added, = 180

so < A + < B + < C = 180

41 + 90 + < C = 180

131 + < C = 180

< C = 180 - 131

< C = 49

< C + < D + < E = 180.....because when added they form a line

49 + 32 + < E = 180

81 + < E = 180

< E = 180 - 81

< E = 99 <======

Explore all similar answers

What is the result when the number 28 is increased by 25%?

Answers

Answer:

Step-by-step explanation:

To increase a number by a certain percentage, we can multiply the number by (1 + the percentage as a decimal).

To find 25% of 28, we can convert 25% to a decimal by dividing by 100:

25% = 25/100 = 0.25

Now, to find what 28 is increased by 25%, we can multiply 28 by (1 + 0.25):

28 * (1 + 0.25) = 28 * 1.25 = 35

So, the result when 28 is increased by 25% is 35.

Answer: 35

Step-by-step explanation:

we know 28 / 4 = 7

so, 7 is 25% of 28, therefore, we can add 7 to 28 and the answer is 35.

Nakeisha is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Nakeisha have to choose from?

Answers

Answer:36

Step-by-step explanation: 2x6x3=36

Nakeisha has 36 different outfits to choose from.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1[/tex] ,[tex]n_2[/tex] , [tex]n_3[/tex], ..... [tex]n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

N=  [tex]n_1[/tex] x [tex]n_2[/tex] x [tex]n_3[/tex] x.....x [tex]n_n[/tex]

Given:

We have 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes.

For the pants we have [tex]n_1[/tex] = 2

For the t-shirts we have [tex]n_2[/tex] = 6

For the shoes we have [tex]n_3[/tex] = 3

Thus, the total number of outfits is given by:

= 2 x 6 x 3

= 36

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Mr. Carter gives a 30 point quiz.
cody scored 8 points less than twice
of what Erica Scored, the sum of
Codys and Ericas score was 37,
how many points did each student
Score?

Answers

The points scored by Cody will be 22 and by Erica be 15.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that Mr Carter administers a 30-point test. Cody scored 8 points less than Erica, and the total of Cody and Erica's scores was 37.

The two equations can be written as:-

C = 2E - 8

C + E = 37

2E - 8 + E = 37

3E = 45

E = 45 /3

E = 15

C = 30 - 8

C = 22

Therefore, Cody will score 22 points, while Erica will score 15.

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Two friends shop for fresh fruit. Jackson buys a watermelon for ​$8.45 and 5 pounds of cherries. Tim buys a pineapple for ​$3.35 and 4 pounds of cherries. Use the variable p to represent the​ price, in​ dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.

Answers

The difference of the amounts spent by Jackson and Tim is given by the following expression:

p - 5.10.

How to model the situation?

Considering p as the price per pound of cherries, the expression for Jackson is given as follows:

J(p) = 8.45 + 5p.

Tim buys a pineapple for ​$3.35 and 4 pounds of cherries, hence the expression is given as follows:

T(p) = 3.35 + 4p.

Then the difference is given as follows:

J(p) - T(p) = 8.45 + 5p - (3.35 + 4p)

J(p) - T(p) = 8.45 + 5p - 3.35 - 4p

J(p) - T(p) = p - 5.10.

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the diagram shows two lighthouse a and b and a port p

Answers

a) The position of boat is shown by red point.

b) About 78 degree  should the boat sail on to enter the port.

What is Angle?

A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.

Given:

From point 'a', measure around 340 degrees bearing and then put the line there.

Then, from point 'b' measure around 245  degrees when measuring north.

The position of boat is shown by red point.

b) About 78 degree should the boat sail on to enter the port.

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The question attached here is seems to be incomplete and inappropriate The complete question is attached below.

The diagram shows two lighthouses A and B and a port P

A boat is on a bearing of 340° from lighthouse A and 245° from lighthouse B.

a) Mark, with a cross, the position of the boat on the map.

b) What bearing should the boat sail on to enter the port?​

in 2006 was 85% of the number at
the school in 2005. In 2006 the number of students was 1020.
How many students were there in 2005?

Answers

Answer:

In 2005, there were 1,200 students at the school.

Step-by-step explanation:

In 2005, there were 1,200 students at the school. This can be calculated by taking 85% of 1020 (the number of students in 2006) and multiplying it by 100. 85% of 1020 is 861. Multiplying this by 100 gives us 86,100. Dividing this by 85 gives us 1,200. Therefore, in 2005 there were 1,200 students at the school.

yoseph wants to surprise his wife a birthday party at her favorite restaurant .it will cost birr 56.50 per person for dinner,including tip and tax.his budget for party is birr 735.what is the maximum number of people yoseph can have at the party.

Answers

The required, maximum number of people Yoseph can have at the party is 13 people.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

As mentioned in the question, Joseph wants to surprise his wife with a birthday party at her favorite restaurant .it will cost birr 56.50 per person for dinner, including tips and taxes. his budget for the party is birr 735.

So, the ratio of the budget to the cost per person defines the maximum number of people Yoseph can have at the party,
= 735 / 56
= 13 people

Thus, the required, maximum number of people Yoseph can have at the party is 13 people.

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I need help with this please and thank you.

Answers

Answer:

11x-11x+9 it's the answer the number having same value in top add then or sub them ok bro

step by step explanation - first you would remove all the unnecessary parentheses because when theres a + in-front of an expression in parentheses it just stays the same, and then you would just combine all the like term together

Find the value(s) of c guaranteed by the mean value theorem for integrals for the function over the given interval. (enter your answers as a comma-separated list. ).

Answers

The value(s) of c guaranteed by the mean value theorem for integrals for the function over the given interval is proved.

The mean value theorem for integrals states that if a continuous function f is defined on a closed interval [a, b], then there exists a number c in the interval (a, b) such that the average value of the function over the interval is equal to the value of the function at c.

Mathematically, this can be expressed as:

[tex]\frac{1}{b-a} \int_{a}^{b} f(x) dx = f(c)[/tex]

where c is a number in the interval (a, b) and the integral sign represents the area under the function from a to b.

The mean value theorem for integrals tells us that there is always a point in the interval where the average value of the function is equal to the function's value at that point. However, it does not tell us the value of c. To find the value of c, we need to solve for it in the equation above.

In conclusion, the mean value theorem for integrals is a useful tool for understanding the average value of a function over an interval and finding the value of c where the average value is equal to the function's value at that point.

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Use the slope formula to find the slope of the line that travels through the given points (4, 4) and (5, 3)

Answers

Answer:

The slope of the line that travels through the points (4, 4) and (5, 3) is -1.

Step-by-step explanation:

The slope formula is:

m = (y2 - y1) / (x2 - x1)

where m is the slope of the line, (x1, y1) and (x2, y2) are the given points. Plugging in the values for (4, 4) and (5, 3):

m = (3 - 4) / (5 - 4)

m = -1 / 1

m = -1

The slope of the line that travels through the points (4, 4) and (5, 3) is -1.

find three solutions to the equation 2x+6y=-12 for the following values of x or y. Enter your answers as an ordered pair in the form (x,y).

Enter the solution when
x=0

Enter the solution when
y=0

Enter the solution when
y=2

Answers

Answer:

Step-by-step explanation:

In a box of marbles, 25% are blue, 35% are red and the rest are yellow. If there are 112 yellow marbles in the box, how many red marbles are there?

please tell me the whole process, thank you

Answers

Answer:

98 red marbles

Step-by-step explanation:

112 yellow marbles is 40% of total. If we divide 112 by 5 then that is 5% of total, which is 14. Since the red marbles is 35% of total we can multiply 14(which is 5% of total) and 7, which gives the answer of 98.

what is percentage is as common fractions in simplest form 40% 32% 15% 37% 96%​

Answers

Answer:

2/5, 8/25, 3/20, 37/100, 24/25

Step-by-step explanation:

What is a percentage?

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

If we know that percentages are fractions of 100, we can convert these percentages:

40% = [tex]\frac{40}{100}[/tex]32% = [tex]\frac{32}{100}[/tex]15% = [tex]\frac{15}{100}[/tex]37% = [tex]\frac{37}{100}[/tex]96% = [tex]\frac{96}{100}[/tex]

Simplifying these fractions:

[tex]\frac{40}{100} = \frac{2}{5}[/tex][tex]\frac{32}{100} = \frac{8}{25}[/tex][tex]\frac{15}{100}=[/tex]  [tex]\frac{3}{20}[/tex][tex]\frac{37}{100}=\frac{37}{100}[/tex][tex]\frac{96}{100} =\frac{24}{25}[/tex]

Therefore, the percentages as simplified fractions are listed above.

Hertz has a processing fee of R115,00 and charges R210 per day for car rental. Avis Car Rental has a processing fee of R255,00 and charges R190 per day for a car. When will the cost of the rentals be equal?​

Answers

The cost of the rentals be equal after 2 days

What is a word problem?

A word problem is a mathematical exercise which is in the form of a hypothetical question that needs mathematical analysis and equations to be solved.

Let d represent the he number of days for which the car is rented

The cost for Hertz can be represented will be

= 115 + 210d,

The cost for Avis will be

= 255 + 190d.

We can set the two costs equal to each other and solve for d:

115 + 210d = 255 + 190d

95 = 45d

d = 95 / 45

d = 2

Hence, the cost of the rentals will be equal after 2 days.

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solve by using substitution


write it as a point

show work

Answers

The solution of the equations -4x-2y= -12 and 4x+8y= -24 is {6, -6).

Solve by using substitution

The question above has 2 equation.

Equation I = -4x-2y= -12

Equation II=4x+8y= -24.

Equation I = -4x-2y= -12, replace to 4x= -2y+12

then substituted 4x= -2y+12 into the second equation, namely 4x+8y= -24.

4x+8y= -24

=(-2y+12) +8y= -24

6y+12= -24

6y = -24-12

6y= -36

y = -6

found the value of y is -6.

The next, substitute the value y= -6 into the equation II

4x+8y= -24

4x+8(-6) =-24

4x-48=-24

4x=-24+48

4x=24

x=24/4

x=6

found the value of x is 6.

Therefore the x and y values of those equation in question are 6 and -6.

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Which expression means “3 decreased by the quotient of 11 and a number n”?

Answers

The option A is correct because the value of the statement is 6+3/n-8.

What is number?

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,

According to the statement

we have given that the statement and we have to write the statement in the numerical form.

So, For this purpose

we know that the given statement is

"Six more than the quotient of three and a number, decreased by eight".

In this statement "Six more than" indicates the sum between the quotient and 6.

And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

6+3/n-8

So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.

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At&t claims you can download 58 gigabytes every 2. 3 mins. If this is true how many years would it take to download 122 terabytes of data?

Answers

Answer:

3,076.5 rounded

Step-by-step explanation:

58 divided by 2.8 = 25.2173913043 for the unit rate. Then multiply by 122 = 3,076.5217391246.

Mary used a graph to solve this system of equations:
y = 3/1 x + 2 (blue line)
y = -1/1 x - 2 (red line)

Explain the error she made when graphing the equations
Creating your own graph, what is the correct solution to this system of equations

Answers

The system of equations are solved graphically and the value of x and y are -1 and -1 respectively

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first equation be be P

y = 3x + 2   be equation (1)

Let the second equation be Q

y = -x - 2   be equation (2)

Now , the slope of the line P is m₁ = 3

The slope of the line Q is m₂ = -1

On simplifying the equations , we get

3x + 2 = -x - 2

Adding x on both sides , we get

4x + 2 = -2

Subtracting 2 on both sides , we get

4x = -4

Divide by 4 on both sides , we get

x = -1

Substitute the value of x in equation (1) , we get

y = -3 + 2

y = -1

Hence , the equations are plotted on the graph value of x and y are ( -1 , -1 )

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Find the ratio of triangles to total shapes in the diagram below.

Answers

The ratio of triangles to total shapes is 4:10.

For every two triangles, there are 5 total shapes.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Number of triangles = 4

The number of shapes.

= 4 triangles + 6 squares

= 10

Now,

The ratio of triangles to total shapes.

= 4 : 10

Now,

4 : 10

= 4/10

= 2/5

= 2 : 10

This means,

For every two triangles, there are 5 total shapes.

Thus,

The ratio of triangles to total shapes is 4:10.

For every two triangles, there are 5 total shapes.

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-2x+y=12
y=-26-9x
Solve by elimination
Show work

Answers

The values of x and y after solving the simultaneous equations are; x = 37/11 and y = 17⁸/₁₁

How to solve Simultaneous Linear Equations?

The two simultaneous equations given are;

-2x + y = 12   -------(1)

y = -26 - 9x   ------(2)

Let us make y the subject in eq 1 to get;

y = 2x + 12   -----(3)

Subtract eq 2 from eq 3 to get;

0 = 2x + 12 + 26 + 9x

11x + 37 = 0

11x = 37

x = 37/11

Similarly;

y = 2(37/11) + 12

y = 74/11 + 12

y = 6⁸/₁₁ + 12

y = 18⁸/₁₁

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Joan bought 5 yards of fabric for $2.85 a yard, including tax. Which expression will find the change John received if she gave the cashier $50

Answers

The solution is,  the change John received if she gave the cashier $50 is,

$50 - ($2.85 * 5)

=$50 - $ 14.25

=$ 35.75 , the required expression.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Joan bought 5 yards of fabric for $2.85 a yard, including tax.

i.e. he spend = $2.85 * 5

                      = $14.25

so,  the change John received if she gave the cashier $50 is,

$50 - ($2.85 * 5)

=$50 - $ 14.25

=$ 35.75

Hence, The solution is,  the change John received if she gave the cashier $50 is,

$50 - ($2.85 * 5)

=$50 - $ 14.25

=$ 35.75 , the required expression.

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Find the inverse of the following functions?

Y=x^2+2

Answers

Therefore, the inverse of the function y = x^2 + 2 is: y = ±√(x - 2)

To find the inverse of the function y = x^2 + 2, we need to switch the roles of x and y, and then solve for y.

Step 1: Write the function with x and y swapped:

x = y^2 + 2

Step 2: Solve for y. To do this, we'll need to isolate the y variable on one side of the equation. We can start by subtracting 2 from both sides:

x - 2 = y^2

Step 3: Take the square root of both sides. When we do this, we'll need to include both the positive and negative square root, since a square can have two possible roots:

±√(x - 2) = y

Step 4: Simplify the answer by using the ± symbol to show that there are two possible inverses:

y = ±√(x - 2)

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how do ya do this inverse thingy
-2+7c=40

Answers

Answer:

c = 6

Step-by-step explanation:

-2+7c = 40

=>add 2 to the both sides

7c = 42

=>divide both sides by 7

c = 6

Answer:

c=6

Step-by-step explanation:

-2+7c=40

so if your 2 is negative we want to make it equal 0 so add 2 and we have to do that on the other side of the =

We now have 7c=42

now we want the c to be alone so we do 42/7

our final answer is c=6

i hope that helps explain the process

Someone please help it’s an emergency!!

Answers

Answer:

-3

Step-by-step explanation:

Look at x. Go right until you see 3. Now look below to see what y is.

When x is 3, y is -3.

what minus 2/3 = 5/7

Answers

Spelled result in words is one twenty-first.

The total area covered by 6 rectangular openings is 1.3 square meters, calculate the total amount of area of rectangular openings which should be painted

Answers

The total area of the rectangular openings which should be painted is 1.3 sq meters.

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

Given that, the total area covered by 6 rectangular openings is 1.3 square meters, we need to calculate the total amount of area of rectangular openings which should be painted,

Since, it is already given that the area of the rectangular opening is 1.3 m²

Therefore, the area which need to be painted is 1.3 m²

Hence, the total area of the rectangular openings which should be painted is 1.3 sq meters.

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Using your calculator, determine the value
of the car in 2020.
y = 20,000(0.85) ¹0
(Be careful rounding)

Answers

Answer: $7,291.14

Step-by-step explanation: To calculate the value of the car in 2020, you can use the formula y = 20,000(0.85)^10.

Here, y represents the value of the car in 2020, 20,000 is the initial value of the car, and 0.85 is the depreciation rate. The exponent 10 represents the number of years that have passed, so the formula calculates the value of the car after 10 years by multiplying the initial value by the depreciation rate raised to the power of 10.

To perform this calculation, you can calculate 0.85^10 first, and then multiply that result by 20,000:

0.85^10 = (0.85)(0.85)(0.85)...(0.85) (10 times)

      = 0.364569708

y = 20,000 * 0.364569708

 = 7,291. 139416

So the value of the car in 2020 would be approximately $7,291.14.

what is the answer to –56/y − 11 ≤ –28

Answers

The inequality equation is 0 < y ≤ 56/17

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( -56 / y ) - 11 ≤ -28   be equation (1)

On simplifying the equation , we get

Adding 11 on both sides of the equation , we get

-56 / y ≤ -17

On further simplification , we get

( -56 + 17y ) / y ≤ 0

Therefore , the inequality equation is 0 < y ≤ 56/17

Hence , the inequality is 0 < y ≤ 56/17

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find missing value i rlly need help thanks A monopolistically competitive firm advertises in order to...a) shift the demand curve for its product to the left.b) make the demand for its product less price elasticc) make its product more similar to its competitors'd) increase its positive externalitiese) reduce the industry's barriers to entry At the end of the current year, Accounts Receivable has a balance of $3,750,000, Allowance for Doubtful Accounts has a credit balance of $22,750, and sales for the year total $48,400,000. Bad debt expense is estimated at of 1% of sales. Determine (a) the amount of the adjusting entry for uncollectible accounts; (b) the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense; and (c) the net realizable value of accounts receivable. A ticket to an all day concert is priced at $115, plus an additional 9% sales tax.Which of the following statements correctly describes how to find the total cost of the ticket? Consider the following situations, and determine when a simple stain could be used instead of a Gram stain.a.) An unknown species of bacteria is being characterized and identified.b.) A wound specimen is being examined.c.) A microbiologist is trying to determine whether a specimen contains bacteria or fungi.d.) A specimen is suspected to contain multiple species of bacteria. How many pounds in 73.5 kg? I NEED THIS ANSWERED TODAY!!! What is Waltons impression of the creature, when he appears at Frankensteins deathbed? Why does Walton reject the creature? Use evidence from the text to support your answer. a parent grounding their child for misbehaving is an example of social control. policing quiz ____is a narcotic and the primary active chemical in opium from which heroin is derived. 11. The Second Amendment is often at the center of debate in this country. Which of these rights does it protect?A. the right to own gunsB. the right to pay taxesC. the right to public educationD. the right to vote in elections Question 6 of 10Which element should usually remain consistent in a story?O A. Characters' feelingsB. Characters' namesC. Characters' opinionsOD. Characters' location _____ are individuals in your social circle or the group of people you spend time with and who you see as equals to you.O A. SupervisorsO B. PeersO C. MentorsOD. Influencers Words: elapseevasivefluentfutileharassinfer lethal obsession ordeal persistentThe gruesome thought had become an(1)____ could think of nothing else. When Craig and had hopped into the truck to hitch a ride toward Frankfurt, Germany, the two truck drivers were very friendly. Although we were not (2)____ In their language-we couldn't even figure out what language they were speaking, but we knew it wasn't German-they spoke a little English. So we could (3)____ from their words and motions that they would take us to Frankfurt after they delivered from their a package. But they drove around for such a long time that we began to be dubious they really were making a delivery. As the hours (4)_____(e)d, we became worried. Our worry turned to fear as we realized the men were arguing, and it seemed to be about us. Occasionally the driver would ask us a question, like "Your parents rich Americans?" or "You their only child?" The men apologized for the delay and were (5)_____ in repeating their promise to get us to Frankfurt "very soon." But they became more and more (6)_____ about exactly when "very soon" would be, and that's when started to think we might never escape. Suddenly, they pulled up to an empty warehouse in the middle of nowhere. The driver showed us a long knife and said, "You give us your parents' address." This overt threat told me we were being kidnapped. With the truck finally stopped, grabbed the door handle and tried to get out. But my efforts were(7)____;the door was locked. Knowing the driver had a(8)_____ weapon scared me badly, but trying to sound braver than felt, shouted, "Let us out NOW!" Craig joined me in shouting at the men. Suddenly they began arguing in their own language again; the second man seemed to be (9)______ing the driver to do something. Finally the driver threw up his hands in disgust. The second man unlocked the door, opened it, and shouted "YOU OUT NOW." He didn't have to say it twice. We propelled ourselves out of that truck and eventually found our way to a town. We could hardly believe that our (10)______was over and we were safe. A piece of paper can be made into a cylinder in two ways: by joining the short sides together, or by joining the long sides together12. Which cylinder would hold more? How much more? What is the function of fruit in flowering plants? Which land feature supports the theory of continental drift A major limitation to the new consumer freedom included? what is an electrolyte How is productivity measured? In the term trace element, the modifier trace means a. the element is required in very small amounts.b. the element can be used as a label to trace atoms through an organism's metabolism. c. the element is very rare on Earth d. the element enhances health but is not essential for the organism's long-term survival e. the element passes rapidly through the organism