the Royal fruit company produces two types of fruit drinks the first type is 45% pure fruit juice and the second type is 95% pure fruit juice. the company is attempting to produce a fruit drink that contains 55% pure fruit juice how many pints of each of the two existing types of drink must be used to make 180 pints of a mixture that is 55% pure fruit juice ​

Answers

Answer 1

Answer:

first type: 144 pints

second type: 36 pints

Step-by-step explanation:

So let's try to interpret the given information. So the first thing to know is how to calculate x%, to calculate this, you simply multiply the number by x/100, which is what x is in decimal form.

So let's just start off by assigning variables to each brand, with the variable representing the amount of pints. Let's say "x" is the amount of pints of the first brand, and "y" is the amount of pints of the second brand.

The next thing to do is make equations using the given information. So we want a fruit drink that is 55% pure fruit juice, and it's 180 pints. So to find what 55% is, we multiply by 55/100 or 0.55. This means that 55% is 0.55(180) = 99. So using the given information this means that 99 pints is pure fruit juice in the mixture. This comes from mixing the first two brands, so that means if we take the pure fruit juice from the first brand and add it to the second brand we get 99, and remember we are given the information that 45% of the first brand is pure fruit juice and the second is 95%, this means that 0.45x is pure fruit juice in the first brand and 0.95y is pure fruit juice in the second brand. This sets up the following equation: [tex]99 = 0.45x + 0.95y[/tex]

The second equation to set up is using the total amount of pints. x represents how much is from the first brand, and y represents how much is from the second brand. Since the mixture consists of these two brands, and the mixture is 180 pints we can form the equation: [tex]180 = x+y[/tex]

The last step is to solve the systems of equations using the two equations we formed. This can be done via substitution. We simply need to solve for either x or y, in the total amount of pints equation and then substitute it into the pure fruit juice equation. In this example I'll solve for x

Original Equation:

[tex]180 = x+y[/tex]

Subtract y from both sides

[tex]180-y=x[/tex]

So now that we solved for y in terms of x we can substitute this into the pure fruit juice equation, so that we're only dealing with one variable.

Original Equation:

[tex]99 = 0.45x + 0.95y[/tex]

Substitute 180-y as x

[tex]99 = 0.45(180-y) + 0.95y[/tex]

Distribute the 0.45

[tex]99=81-0.45y+0.95y[/tex]

Add like terms

[tex]99=81+0.5y[/tex]

subtract 81 from both sides

[tex]18=0.5y[/tex]

Divide both sides by 0.5 (same thing as multiply by 2)

[tex]36=y[/tex]

This means we have to use 36 pints of the second brand. We can substitute this into either equation to solve for x, but it's easier to substitute into the total pints equation since there are no coefficients (technically a 1 in front, but it's kind of be ignored for now), so it's pretty straightforward to solve for x

Original Equation:

[tex]180=x+y[/tex]

Substitute 36 as y

[tex]180=x+36[/tex]

Subtract 36 from both sides

[tex]144=x[/tex]

This means 144 pints from the first brand and 36 from the second


Related Questions

Which of the following completes the two-column proof below?

Given: ∠1≅∠2, p⊥r
Prove: q⊥r
Proof:

1. ∠1≅∠2 (Given)

2. p∥q (?)

3. p⊥r (?)

4. q⊥r (?)

The figure shows lines p and q and transversal r. The intersection of line p and transversal r forms four angles, the top right angle is labeled as a right angle, the top left angle is labeled as 1. The intersection of line q and transversal r forms four angles, the bottom right angle is labeled as 2.

Answers

2. Converse of corresponding angles theorem.

3. Given

4. Perpendicular transverse theorem

What is the Converse of Corresponding Angles Theorem?

According to the converse of corresponding angles theorem, if two corresponding angles are congruent, then the lines cut by the transversal that both angles line on are parallel to each other.

Thus, given that ∠1 ≅ ∠2, lines p and q will be parallel based on the converse of corresponding angles theorem.

We are given that lines p and r are perpendicular to each other, therefore, we can conclude that, based on the perpendicular transverse theorem, q⊥r.

The missing reasons in the proof are:

2. Converse of corresponding angles theorem.

3. Given

4. Perpendicular transverse theorem

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Type the correct answer in the box. Use numerals instead of words.
The graphs of functions f and g are shown.

Graph shows 2 functions. First curve f begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 2), (8, 3) in quadrant 1. Second curve g begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 4), and (8, 6) in quadrant 1.

Function g is defined as . What is the value of k?

The value of k is
.

Answers

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words.

The graphs of functions f and g are shown.

Graph shows 2 functions. First curve f begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 2), (8, 3) in quadrant 1. Second curve g begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 4), and (8, 6) in quadrant 1.

Function g is defined as . What is the value of k?

The value of k is

(1,0)

He length of the hypotenuse of a right triangle is 24 inches. if the length of one leg is 8 inches, what is the approximate length of the other leg? 16.0 inches 18.4 inches 22.6 inches 25.3 inches

Answers

Answer:

22.6

Step-by-step explanation:

a^2 + b^2 = c^2  We know one of the legs and the hypotenuse.  The hypotenuse must be c.  The leg that we do know can be a or b.  It is our choice.  I am going to let it be a

8^2 + b^2 = 24^2  Plug in the numbers that I know

64 + b^2 = 576   Square the numbers that I know

b^2 = 512   Subtract 64 from both sides

b = 22.6  Put this in your calculator to find the square root and round.

Each week, Adam deposits money into his savings account. The graph below models the scenario.
(Graph is in the image below)

A) How much money does Adam deposit each week?

B) How did you determine the answer?

C) Use an alternate strategy to determine the amount of money Adam deposits each week.

Answers

Adam's weekly money deposit is a linear relation with a slope of $6 per week.

A) Money deposited by Adam each week is $6.

B) The answer can be determined by observing the graph provided to us, in which the point representing 1 week on the x-axis is intersected by the point representing $6 on the y-axis. This helps us determine that Adam's weekly deposit is $6.

C) An alternative strategy of calculating the slope can be used.

The slope can be calculated in the following way:

m = (y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are two points on the line.

Thus slope of this line can be calculated as,

m = (12 - 6)/(2 - 1) = 6/1 = 6 {Since, the line passes through the points (2, 12) and (1, 6)}.

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For the following exercises, find the x- and y-intercepts of the graphs of each function.
28. f(x) = −2| x +1 | + 6

Answers

The x- and y-intercepts of the graphs of the function described are; (2,0) and (4,0) respectively.

What are the x- and y-intercepts of the graph of the function?

It follows from the task content that the function given is; f(x) = −2| x +1 | + 6.

Since the x- and y-intercepts corresponds to x and y values for which y and x are zero respectively, it follows that;

x -intercept is;

0 = -2(x+1) + 6

2x = -2 +6

2x = 4

x = 4/2 = 2

y-intercept is;

y = -2(0+1) +6

y = 4.

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If 3x + 7 =22, what is the value of x

Answers

Answer:

x=5

Step-by-step explanation:

solution,

3x+7=22

or,3x=22-7

or,3x=15

or,x=15/3

:×=5

The value of x in the equation 3x + 7 = 22 is x = 5.

To find the value of x in the equation 3x + 7 = 22, we can solve for x as follows:

Subtract 7 from both sides of the equation:

3x + 7 - 7 = 22 - 7

3x = 15

Divide both sides of the equation by 3 to isolate x:

(3x)/3 = 15/3

x = 5

Therefore, the value of x in the equation 3x + 7 = 22 is x = 5.

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points)

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Considering the definition of an inequality and system of inequalities, the correct option is: "No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100."

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

System of inequalities

A system of inequalities is made up of two or more inequalities.

The solution will be formed by the intersection of the half-planes of each of the inequalities, that is, it will be the enclosure that all the inequalities have in common. That is, the solution of the system is given by the region of the common plane of the half-planes that define each one of the inequalities.

System of inequality in this case

In this case:

c represents child bikes.a represents adult bikes.Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. The company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the system of inequality is:

[tex]\left \{ {{4c+6a\leq 120} \atop {4c+4a\leq 100}} \right.[/tex]

On the other hand, the company can build 20 child bikes and 6 adult bikes in the week. So, checking the equations, for given c=20 and a=6:

4×20 + 6×6= 116 < 120

4×20 + 4×6= 104 >100

Finally, the correct option is: "No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100."

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A survey of 150 people at a local high school about playing video games was conducted, and the results are posted in the table.


Play Video Games Do Not Play Video Games
Juniors 48 12
Seniors 45 25
Teachers 6 14


What is the probability of choosing a person at random who is a teacher and plays video games? Are these independent events?
The P(teacher and video games) = 4%; the two events are not independent.
The P(teacher and video games) = 4%; the two events are independent.
The P(teacher and video games) = 9%; the two events are not independent.
The P(teacher and video games) = 9%; the two events are independent.

Answers

The P(teacher and video games) = 4%; the two events are not independent.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(teacher and video games) = number of teachers who play video game / total number of respondents

6/150 = 0.04 = 4%

Independents events are events whose occurrence do not depend on each other. They are random events.

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Answer:

The P(junior and video games) = 32%; the two events are not independent.

Step-by-step explanation:

i got it right aswell

An article marked to give 120% profit originally cost $60. what is the marked price?

Answers

Answer is $72.00
Reason
We know cost is $60
We know profit percent is 120%
So 60x 120% = $72 marked price

In the diagram, JKLM∼EFGH. Find the perimeter of each polygon.

Answers

The perimeter of polygon JKLM = 85 units

The perimeter of polygon EFGH = 34 units.

What is the Perimeter of a Polygon?

The perimeter of polygon JKLM = JK + KL + LM + JM

The perimeter of polygon EFGH = EF + FG + GH + EH

Find the missing lengths using the similarity theorem:

JK/EF = KL/FG = LM/GH = JM/EH

Plug in the values

20/8 = KL/11 = LM/3 = 30/EH

20/8 = KL/11

KL = (20 × 11)/8 = 27.5

20/8 = LM/3

LM = (20 × 3)/8

LM = 7.5

20/8 = 30/EH

EH = (30 × 8)/20

EH = 12

The perimeter of polygon JKLM = 20 + 27.5 + 7.5 + 30 = 85 units

The perimeter of polygon EFGH = 8 + 11 + 3 + 12 = 34 units.

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4^x + 3 = 7 using the change of base formula log y =
log y/log b

Answers

Answer:

x=1

Step-by-step explanation:

It's pretty obvious to see that x equals 1 after you subtract 3 from both sides, but this question specifies using change base, so:

log(b)a means log base b with a as the contents
1.
4^x+3-3=7-3


4^x=4


log(4)4^x=log(4)4    (both logs are base 4 in this case to free the x)


x=log(4)4

x=log(10)4/log(10)4   (both logs are base 10 in this case)

x=1

Change base is definitely unnecessary in this problem

Two different cubes of the same size are to be painted, with the color of each face being chosen independently and at random to be either black or white. What is the probability that after they are painted, the cubes can be rotated to be identical in appearance

Answers

Answer:

Step-by-step explanation:

Define two ways of painting to be in the same class  if one can be rotated to form the other.We can count the number of ways of painting for each specific class .

Case 1: Black-white color distribution is 0-6 (out of 6 total faces)

Trivially [tex]1^{2}[/tex]=1 way to paint the cubes.

Case 2: Black-white color distribution is 1-5

Trivially all [tex]\frac{6}{5}[/tex] =6 ways belong to the same class , so [tex]6^{2}[/tex] ways to paint the cubes.

Case 3: Black-white color distribution is 2-4

There are two classes for this case: the class  where the two red faces are touching and the other class where the two red faces are on opposite faces. There are 3 members of the latter class  since there are  3 unordered pairs of  2 opposite faces of a cube. Thus, there are [tex]\frac{6}{4}[/tex]-3=12  members of the former class . Thus, [tex]12^{2} + 3^{2}[/tex] ways to paint the cubes for this case.

Case 4: Black-white color distribution is 3-3

By simple intuition, there are also two classes  for this case, the  class where the three red faces meet at a single vertex, and the other class where the three red faces are in a "straight line" along the edges of the cube. Note that since there are 8 vertices in a cube, there are 8  members of the former class and [tex]\frac{6}{3} -8=12[/tex] members of the latter class. Thus, [tex]12^{2} - 8^{2}[/tex]  ways to paint the cubes for this case.

Note that by symmetry (since we are only switching the colors), the number of ways to paint the cubes for black-white color distributions 4-2, 5-1, and 6-0 is 2-4, 1-5, and 0-6 (respectively).

Thus, our total answer is[tex]\frac{2*(6^{2} + 1^{2}+ 12^{2}+ 3^{2})+12^{2}+8^{2}}{2^{12} } =\frac{588}{4096} = \frac{147}{1024}[/tex]

A farmer has 45 horses and 20 cows.
(i) Write this as a ratio horses : cows.
Give your answer in its simplest form.

Answers

Answer: 9 : 4

Step-by-step explanation:

45 : 20

simplify

9 : 4

Casey was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line:

−8, which represents the depth of water in the swimming pool
+7, which represents the height of the slide at the pool

Part A: What does 0 represent in this situation? (3 points)

Part B: Describe the height of the slide in relation to 0 in the situation. (3 points)

Part C: Casey held a pole in the swimming pool. The bottom of the pole was at a depth of 2 feet. How should Casey mark the level of the bottom of the pole on the number line? Explain how you determined this. (4 points)

Answers

The point 0 represents the surface of the water. The height of the slide is 7 feet above the surface of the water. The bottom of the pole can be represented by -2 on the number line.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that −8 represents the depth of water in the swimming pool. Hence:

The point 0 represents the surface of the water. The height of the slide is 7 feet above the surface of the water. The bottom of the pole can be represented by -2 on the number line.

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Matthew thought he could make 19 free throws, but he only made 13. What was his percent error? Hint: Percent error = Prediction - Actual Actual x 100 Round to the nearest percent. [ ? 1% Matthew thought he could make 19 free throws , but he only made 13 . What was his percent error ? Hint : Percent error = Prediction - Actual Actual x 100 Round to the nearest percent . [ ? 1 %​

Answers

Answer:

[tex]\huge\boxed{\sf 46.2\%}[/tex]

Step-by-step explanation:

Prediction = 19 throws

Actual = 13 throws

Percent Error:

[tex]\displaystyle =\frac{Predication -Actual}{Actual} \times 100 \%\\\\= \frac{19-13}{13} \times 100 \%\\\\= \frac{6}{13} \times 100 \%\\\\= 0.462 \times 100 \%\\\\= 46.2\%\\\\\rule[225]{225}{2}[/tex]

If x is inversely proportional to y, then as x decreases, y decreases.​

Answers

Answer:

Yes

Step-by-step explanation:

Let's assume that x=1/y.

For y=1, x=1

For y=2, x=0.5

For y=4, x=0.25

And so on

Find the number, d, if the sum of five times d and five times five is a
hundred.

Answers

The value of d from the given expression is 15

Word problem leading to equation

From the given statement the sum of five times d and five times five is a

hundred is interpreted as;

5d + 5(5) = 100

5d + 25 = 100

Subtract 25 from both sides

5d = 100 - 25

5d = 75

d =15

Hence the value of d from the given expression is 15

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4. Point P is not on line . Describe the shortest distance from the point to the line
P
8

Answers

Answer:

a line that is perpendicular to the line l


Using the quadratic formula, solve for "t" in
the function: 0= -16t2 + 5t + 104. Keep in
mind that time CANNOT be "negative'!!!
t = 1.1 s
t = 1.9 s
t=2.71 s
t=2.2 s

Answers

Here is the answer. Rechecking with your teacher if it is correct or not.

Minerva starts a savings account with $50. The interest on the account balance is compounded annually. The graph below shows the account balance in terms of x ,the number of years since the account was opened.



After 12 years, Minerva's account balance should be about $100, assuming that she does not add or withdraw any money from the account.

Cannot be determined from the information given.
False
True

Answers

Minerva's account balance will be about $100 ,  it is True and Option A is the correct answer.

What is meaning of Compounded annually ?

Compounded Annually means when the interest is given even on the interest accrued from the principal amount . This is done once a year.

It is given that

Principal Amount = $50

From the graph attached in the answer which was missing in the question ,

It can be confirmed that after 12 years

Minerva's account balance should be about $100.

Therefore it is True and Option A is the correct answer.

The graph missing is attached

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Write an equation in slope intercept form for the line with slope -1/2 and y-intercept -5

Answers

Answer: -1/2x - 5 = Y

Step-by-step explanation:

- slope intercept form is mx + b = Y

- m is the slope

- b is the y intercept

- leave x and y as variables

- since your y intercept is negative the + will be a -

- so the equation becomes -1/2x - 5 = Y

hope this helps :)

Suppose that $x$ is a multiple of 6 (not necessarily positive). If the square of $x$ is less than 200, how many possible values of $x$ are there

Answers

All multiple of 6 under 14 are: -12, -6, 0, 6, 12

How do we get 14 here:

√200= 14.142 (Round to thousandth place)

This is how many x we have found.

A multiple in math is the number you get when you multiply a certain number by using an integer. for example, multiples of 5 are: 10, 15, 20, 25, 30…, and so forth. Multiples of 7 are 14, 21, 28, 35, 42, 49…and many others.

In math, the meaning of a multiple is the product result of one number multiplied by another number. Here, 56 is a multiple of the integer 7. Here is an example of multiples: Fun facts. 0 is a multiple of every number as the product of 0 multiplied by any number is 0.

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Select the correct answer.
The product of two numbers is 21. If the first number is-3, which equation represents this situation and what is the second number?
OA The equation that represents this situation is x-3=21. The second number is 24.
OB. The equation that represents this situation is 3x=21. The second number is 7.
OC. The equation that represents this situation is-3x=21. The second number is-7.
OD. The equation that represents this situation is -3+x=21. The second number is 18.

Answers

Option B is correct

Why

3x=21

3(7) =21

21=21

Step-by-step explanation:

Answer:

[tex]-3x=21 , -7[/tex]

Step-by-step explanation:

[tex]-3x=21\\x=\frac{21}{-3} =-7[/tex]

math!! please helpp!!!

What is the y intercept of the line below?

( i attached an image)

a) -3

b) 1/3

c) 4

d) (-1.5,0)

e) -1.5

f) (4,0)

g) 3

Answers

Answer:

f (4,0)

Step-by-step explanation:

Hope it helps!!!

y=4

x=0

_______________________________________________________

Answer:

4

Step-by-step explanation:

[tex]\large\displaystyle\begin{gathered} \sf{The \ y-intercept \ is \ the \ point \ where \ the \ graph \ intercepts \ the \ y \ axis. \\ \sf{Thus, \ assuming \ that \ each \ little \ square \ represents \ one \ unit, \ the \ y-intercept} \\ \sf{is \ 4} \end{gathered}[/tex]

done !!

⊱_______________________________________________________⊰

Cαlligɾαρhγ

Find the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2. a. r= 6/1+2 sin theta b. r= 6/1-2 sin theta c. r= 3/ 1- 2 cos theta d. r= 1/3+2 cos theta

Answers

The required polar equation of a conic is given be: [tex]r = \frac{6}{1-2sin\Theta }[/tex]. option b is correct.

For a conic we have directrix = 3 and eccentricity = 2

What is polar equation?

Polar equation can be identified as of the form of x= a+b.sinФ.
Which contain simple variable along with trigonometric operators.

Here,

Standard polar equation for the conic is given as,

    [tex]r=\frac{ep}{1-esin\theta}[/tex]  
By putting given values
[tex]r = \frac{6}{1-2sin\Theta }[/tex].
Thus, the required polar equation for the conic is  [tex]r = \frac{6}{1-2sin\Theta }[/tex].

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PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

The first answer is correct:

[tex]\{\frac{1}{3},-3.45,\sqrt{9}\}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{3}, -3.45, \sqrt{9}=3[/tex] are all rational numbers, the set that contains those numbers is the set of rational numbers.

In the second set, number [tex]\sqrt{37}[/tex] is irrational number since it can not be written as quotient.

Also in the third and fourth set, numbers [tex]\sqrt{44}[/tex] and [tex]\sqrt{2}[/tex] are irrational numbers.

Therefore, the first answer is correct.

A trapezoid has bases measuring 5cm and 9cm, and an area of 42cm. Find the height

Answers

The height of the trapezoid is 6 cm

How to find the height?

The given parameters are:

Bases = 5cm and 9cm

Area = 42 square cm

The height is calculated using

Area = 0.5 * (Sum of bases) * Height

So, we have:

42 = 0.5 * (5 + 9)* Height

This gives

42 = 7* Height

Divide through by 7

Height= 6

Hence, the height of the trapezoid is 6 cm

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What is the circumference of the given circle in terms of л

Answers

Answer:

30π in

Step-by-step explanation:

Circumference of a circle = 2πr

Where r is the radius

In the given diagram, the radius is 15 in

2×π×15 in = 30π in

Evaluate 3 × 5². A. 30 B. 75 C. 150 D. 225

Answers

Answer:

B: 75

Step-by-step explanation:

5^2 is 5 times itself twice, so 5 times 5 = 25

3 times 25 is 75

Answer:

Hello! The answer to your question is B. 75.

Step-by-step explanation:

To solve this question, you have to first convert the exponents:

[tex]5^2 = 25[/tex]

Now that you have converted the exponents, you can multiply:

3 × 25 = 75

If the zeros of a quadratic equation are 7 and - 4 , what would be the factors?

Answers

Answer:

(x - 7) , (x + 4)

Step-by-step explanation:

given the zeros of a quadratic equation x = a and x = b , then

the corresponding factors are (x - a) and (x - b)

here the zeros are x = 7 and x = - 4 then factors are

(x - 7) and (x - (- 4) ) , that is

(x - 7) and (x + 4)

Other Questions
what is A loss of an electron during a chemical reaction Select all the correct answers. What was a result of the Brown v. Board of Education ruling? O It convinced individuals that integration was too dangerous for African Americans OIt changed the majority of individuals perspectives on desegregation in schools. O It encouraged many African American students to enroll in all-White schools in the South. O It displayed that the Board of Education had more influence over the ruling. O It showed that racial separation continued even after segregation was outlawed. Reset Next um. All rights reserved I am a 3-digit odd number.The sum of my digits is 9.My tens digit is twice that if my hundreds digit.What am I? Read the stanza, then answer the questions.The caged bird singswith a fearful trillof things unknownbut longed for stilland his tune is heardon the distant hillfor the caged birdsings of freedom.Caged Bird,Maya AngelouWhich word has a connotative meaning of sad and lonely? The connotative meaning of this word gives the poem a feeling of . An architect's sketch of plans for the front of a garage in the shape of pentagon is shown below. What is the approximate perimeter of thefront of the garage?-8-6 -4 -2A. about 36 ftB. about 21 ftC. about 10 ftD. about 77 ft Eight years ago, Marilyn invested $1000 in a stock. The table shows thevalue of the stock over time.Year012345678Value$1000$1095$1200$1314$1440$1580$1730$1890$2070Which is closest to the rate of change modeled by the function?Leaming Inc.Helo 13 Jang-mi owns her own cleaning business and posts on local message boards online to advertise her business. Customers can reach out to her directly through her posts and can ask any questions they might have before requesting her services. This is an example of _______. a. telemarketing b. microtargeting c. direct marketing d. the sharing economy Public relations has more power to influence consumers than other forms of corporate communication because The presidential election of 1916 Group of answer choices had women suffragists campaigning against Wilson. all of the above freed Wilson to pursue a more vigorous foreign policy. was a very narrow victory for Wilson. What type of timeshare involves a buyer agreeing to pay a one-time purchase price and an annual maintenance fee, and in return selecting an accommodation time and having the right to use the unit for a specified number of years What is the normal journal entry when writing-off an account as uncollectible under the allowance method?. Type your answer into the box. 7.3 m 6 m cm Q The width of a cuboid is 6 metres, the length is 7.3 metres and the height is 4.2 metres. Dulce Livramento 4.2 m What is the volume of the cuboid? Type your answer into the box . 7.3 m 6 m cm Q The width of a cuboid is 6 metres , the length is 7.3 metres and the height is 4.2 metres . Dulce Livramento 4.2 m What is the volume of the cuboid ? ABC is an equilateral triangle whose vertex A has the co-ordinates (0, 3). Find the co- ordinates of B and C. Specify any three challenges of human resources development in nepal The mean annual income of certified welders is normally distributed with a mean of $50,000 and a population standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. If the level of significance is 0.10, what is the decision rule A company earns a profit of $100 the first month it is in business. Every month after that, the company earns a profit that is 1.5 times the previous month's profit. What will the company's profit be in the fith month? The weight of an apple is 150g, rounded to the nearest 5g. what is the lower bound and upper bound? f(x) = x/2 - 3 and g(x) = 3x + x 6, find (f+ g)(x) The surface area of a rectangular prism is increased by a factor of 16.By what factor is the volume of the figure increased?0408O 32O 64 True or false: The currency of the United States consists primarily of metal coins and paper money. True false question. True