The time allotted for the Math test for 2 3/4 hours. Emma completed the test 1/2 of an hour earlier. How long did it take Emma to complete the test?

Answers

Answer 1
2 3/4h=2.75h
1/2h=0.5h
2.75h-0.5h=2.25
2.25h=2 1/4h


Or


1/2h•2=2/4h
2 3/4h-2/4h=2 1/4h

It took Emma 2 1/4 hours to complete the test.

Related Questions

A population of n = 10 scores has = 50 and = 5. what is the population variance? 5

Answers

The value of the Population Variance is 100.

According to the statement

we have given that the A population of N = 10 scores has μ = 50 and σ = 5. And we have to find the population variance.

So, For this purpose,

we know that the population variance can be defined as the average of the distances from each data point in a particular population to the mean squared, and it indicates how data points are spread out in the population.

Population variance = mean /(standard deviation/number of samples)

Population variance = μ / (σ /N )

Substitute the values in it and then

Population variance = 50 / (5 /10 )

Population variance = 50 / (0.5 )

Population variance = 100.

So, The value of the Population Variance is 100.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A population of N = 10 scores has μ = 50 and σ = 5. What is the population variance?

a. 10

b. the square root of 5

c. the square root of 50

d. 25

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Which graph represents the function f(x)=(x+4)(x+1)(x−3)?

Answers

Answer:

your answer will be C .

Step-by-step explanation:

Which solution finds the value of x in the triangle below?

A right triangle is shown. The hypotenuse has a length of 8. Another side has a length of x. The angle between the hypotenuse and the other side is 60 degrees.
Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.
Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.

Answers

The value of x in the triangle is 4

How to determine the solutions?

The complete question is added as an attachment

From the question, the given parameters are as follows:

Hypotenuse = 8

Adjacent = x

Angle = 60

The cosine of the angle is then calculated as:

cos(angle) = Adjacent/Hypotenuse

Substitute the known values in the above equation

cos(60) = x/8

Multiply both sides by 8

x = 8 * cos(60)

Evaluate the product

x = 4

Hence, the value of x in the triangle is 4

So, the complete parameters are:

Hypotenuse = 8

Adjacent = x

Angle = 60

x = 4

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Answer:

Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.

Step-by-step explanation:

The answer above is correct.

.
Find the value of x for which ABCD must be a parallelogram.

Answers

The value of x that would make ABCD a parallelogram is x = 5

How to find the interior angle of a parallelograms?

A parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.

Opposite sides of a parallelogram are congruent and parallel

Therefore,

5x - 3 = 14x - 48

subtract 5x from both sides

5x - 5x - 3 = 14x - 5x - 48

-3 = 9x - 48

add 48 to both sides

-3 + 48 = 9x - 48 + 48

45 = 9x

x = 45 / 9

x = 5

Therefore, the value of x that would make ABCD a parallelogram is x = 5

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The measure of angle is 5. The equivalent measurement in degrees is... ​

Answers

Answer:

300 degrees

Step-by-step explanation:

pi should be 180 degrees so 5*180/3 = 5*60=300

please answer this I give u thanks and f0ll0w u and mark brainiest ​

Answers

Use of identity for sum of cubes:

x³ + y³ = (x + y)(x² - xy + y²)

Change it as:

x³ + y³ = (x + y)(x² + 2xy + y² - 3xy) = (x + y)[(x + y)² - 3xy)]

It is easy to notice that:

64a³ = (4a)³ and125b³ = (5b)³.

So the sum of cubes for the given expression will be:

64a³ + 125b³ = (4a + 5b)[(4a + 5b)² - 3(4a*5b)] =(4a + 5b)[(4a + 5b)² - 60ab]

Now substitute the values and calculate each of these:

(a) 4a + 5b = 5, ab = -1.

(4a + 5b)[(4a + 5b)² - 60ab] = 5[5² - 60(-1)] = 5(25 + 60) = 5(85) = 425

(b) 4a + 5b = -2, ab = 1/15.

(4a + 5b)[(4a + 5b)² - 60ab] = -2[(-2)² - 60(1/15)] =-2(4 - 4) = -2(0) = 0

(c) 4a + 5b = 1/3, ab = -1/9.

(4a + 5b)[(4a + 5b)² - 60ab] = (1/3)[(1/3)² - 60(-1/9)] =(1/3)(1/9 + 60/9) = (1/3)(61/9) = 61/27 = 2 7/27

(d)  4a + 5b = -1, ab = 1.

(4a + 5b)[(4a + 5b)² - 60ab] = -1[(-1)² - 60(1)] = -1(1 - 60) = -1(-59) = 59

Last week a painter painted 6 houses in 2 days. this week she painted 5 houses in 4 days. in which week was the painter more productive?

Answers

Answer:

The painter was more productive in week a.

Step-by-step explanation:

Find the unit rate.  How many houses could be painted in 1 day?

6/2 means that she could paint 3 houses per day

5/4 means that she could paint 1.25 houses per day.

Answer:

The painter was more productive in the last week.

Explanation:

In this problem, we need to find in which week did the painter paint the most.

To find the solution to this problem, first, we need to divide 6 by 2 (last week)

which equals 3.

Next, divide 5 by 4 (this week)

which equals 1.25

Now, compare the two quotients and identify the larger number (3 and 1.25).

Basically, we can see that the number 3 is larger.

This means that the painter could paint 3 houses per day in the last week, and 1.25 houses per day in this week.

Therefore, we can say that the painter was more productive in the last week.

I hope this helps :)

In the year 2000, there were 200,000 cell phone subscribers in a city in new york. the number of subscribers increased by 60 percent per year after 2000. which equation can be used to model the number of subscribers, y, in the city t years after 2000?

Answers

The equation can be used to model the number of subscribers, y, in the city t years after 2000 is  y = 200,000(1+60)t.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

The first step is to calculate the percentage increase for each year.

If the subscribers increase by 60%, it means that the subscribers will be (100+60)% of the previous year.

(100+60)% = (100/100 + 60/100)

                 =  (1 + 0.6)

After 2,000, the subscribers will be 200,000×(1+0.6).

For the following years the 200,000×(1+0.6)t

So, the value of y will be given by,

Y=200,000(1+0.6)t

Hence,The equation Y=200,000(1+0.6)t .

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A clock has a diameter of 16 inches. How far does the hour hand travel during 5 hours? Use 3.14 for pi.

Answers

Therefore the hour hand travels 40.192in in 5 hours


How to calculate the area of a sector

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;

β = 360/5

β = 72 degrees

Given the following parameters

r = 16/2

r = 8in

Substitute into the formula

A = 8²(72π)/360
A = 40.192in

Therefore the hour hand travels 40.192in in 5 hours

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Helpppppppppp show your steps to the answer

Answers

Answer:

9

Step-by-step explanation:

you have to plug in the numbers and solve it, so it would go as follows:

-(-3^2)- 2(-5)(2) - /2/

-9 + 20 - 2 =

9

i hope this helps

Suppose 5 different integers are randomly chosen from between 20 and 69, inclusive. What is the probability that they each have a different tens digit?

Answers

The probability that they each have a different tens digit is 0.047.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. The probability of either "heads" or "tails" is half because there are only two possible outcomes (heads or tails), and because the coin is fair, both outcomes (heads and tails) are equally likely.

Solution:- The collection contains 50 integers, hence there are [tex]^{50}C_5[/tex] different ways to select 5 different integers.

Sample space = [tex]^{50}C_5[/tex]

Each of the five numbers must correspond to one of the five available tens-digits, which are 2 through 6. There are a total of 105 ways to choose the five numbers that satisfy these properties because there are 10 ways to choose a number with a particular set of ten digits (such as 30, 31, or 39).

Therefore,

probability that each have a different tens digit = [tex]\frac{10^5}{^{50}C_5}[/tex]

                                                                                = [tex]\frac{10\times 10\times 10\times 10\times 10}{^{50}C_5}[/tex]

                                                                                = [tex]\frac{10\times 10\times 10\times 10\times 10}{\frac{50!}{(50-5)!5!} }[/tex]

                                                                                = [tex]\frac{10\times 10\times 10\times 10\times 10}{\frac{50!}{45!5!} }[/tex]

                                                                                 = 0.047

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each series with the equivalent series written in sigma notation

Answers

The series and the sigma notations are[tex]\sum\limits^4_0 3(5)^n = 3 + 15 +75 + 375 +1875[/tex], [tex]\sum\limits^4_0 4(8)^n = 4 + 32 + 256+ 2048 + 16384[/tex], [tex]\sum\limits^4_0 2(3)^n = 2 + 6 + 18 + 54 + 162[/tex] and [tex]\sum\limits^4_0 5(3)^n = 5 + 15 + 45 + 135 + 405[/tex]

How to match each series with the equivalent series written in sigma notation?

To do this, we simply expand each sigma notation.

So, we have:

[tex]\sum\limits^4_0 3(5)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

3(5)^0 = 3

3(5)^1 = 15

3(5)^2 = 75

3(5)^3 = 375

3(5)^4 = 1875

So, we have:

[tex]\sum\limits^4_0 3(5)^n = 3 + 15 +75 + 375 +1875[/tex]

[tex]\sum\limits^4_0 4(8)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

4(8)^0 = 4

4(8)^1 = 32

4(8)^2 = 256

4(8)^3 = 2048

4(8)^4 = 16384

So, we have:

[tex]\sum\limits^4_0 4(8)^n = 4 + 32 + 256+ 2048 + 16384[/tex]

[tex]\sum\limits^4_0 2(3)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

2(3)^0 = 2

2(3)^1 = 6

2(3)^2 = 18

2(3)^3 = 54

2(3)^4 = 162

So, we have:

[tex]\sum\limits^4_0 2(3)^n = 2 + 6 + 18 + 54 + 162[/tex]

[tex]\sum\limits^4_0 5(3)^n[/tex]

Next, we set n = 0 to 4.

So, we have:

5(3)^0 = 5

5(3)^1 = 15

5(3)^2 = 45

5(3)^3 = 135

5(3)^4 = 405

[tex]\sum\limits^4_0 5(3)^n = 5 + 15 + 45 + 135 + 405[/tex]

Hence, the series and the sigma notations are[tex]\sum\limits^4_0 3(5)^n = 3 + 15 +75 + 375 +1875[/tex], [tex]\sum\limits^4_0 4(8)^n = 4 + 32 + 256+ 2048 + 16384[/tex], [tex]\sum\limits^4_0 2(3)^n = 2 + 6 + 18 + 54 + 162[/tex] and [tex]\sum\limits^4_0 5(3)^n = 5 + 15 + 45 + 135 + 405[/tex]

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Which number has a repeating decimal form?

A. sqrt{15
B. 11/25
C. 3/20
D. 2/6

Answers

Answer:

D It repeats

Step-by-step explanation:

square root of 15 is 3.87298334621

11/25= 0.44

3/20=.6

D = 0.33333333333

86cm, 132cm,1m 6cm, 1.6m, 1m 20cm, 1.15m Arrange the heights in order of size, starting with the smallest to the Tallest ​

Answers

Answer:

6cm,20cm,80cm,1m,1m,1.15m,132cm

Step-by-step explanation:

Hence,1 m=100 cm

-6(4x + 5) = -24x - 30 associative property of addition commutative property of multiplication distributive property inverse property of addition

Answers

Answer:

distributive property

Step-by-step explanation:

Which of the following alternatives are similar monomials?


a) 8x and -7x

b) 5a² and 5a

c) 4 and -17

d) 2ab and 3abc

e) -3ab and 9abc

f) - [tex]\frac{x}{3}[/tex] and 11x

Answers

The alternatives that are similar monomials are given as follows:

a) 8x and -7x.

c) 4 and -17.

f) -x/3 and 11x.

What are similar monomials?

Similar monomials are monomials in which the part with the letters are equal. For example, 8x and -7x, as x = x, or even 9x²y and -2x²y, as x²y = x²y.

Hence options a, c and f are correct in this problem.

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Suppose that w varies directly as the product of x and the square of y and inersely as z. when x = 2, y = 3, and z = 36, the value of w is 1/2. find the value of w when x = 5, y = 5, and z = 10.

Answers

The value of w is 12.5 when x = 5 , y= 5  and z = 10.

What is Equation of variation?

A variation is a relation between a set of values of one variable and a set of values of other variables. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

Equation of variation w = [tex]\frac{kxy^{2} }{z}[/tex]

Constant of variation  k = [tex]\frac{wz}{xy^{2} }[/tex]

Find k when w = 1/2, x = 2 and z = 36

k = [tex]\frac{wz}{xy^{2} }[/tex]

[tex]k = \frac{\frac{1}{2} * 36 }{2 * 3^{2} }[/tex]

[tex]k = \frac{18}{2 * 9}[/tex]

[tex]k = \frac{18}{18}[/tex]

k= 1

find the value of w when x = 5 , y = 5 and z = 10

[tex]w = \frac{kxy^{2} }{z} \\w= \frac{1 * 5 * 5^{2} }{10}[/tex]

[tex]w = \frac{5^{3} }{10}[/tex]

w = 125 /10

w = 25 /2

w = 12 . 5

Therefore, the value of w is 12.5 when x = 5 , y= 5  and z = 10

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At the end of the soccer season, the player who scored the most goals had 8 more goals than the player who had the second most goals. The player who had the second most goals had 15 more goals than the third player. The total number of goals scored by all three of the players was 98. Determine the number of goals scored by the player with the most goals. Show your working out.

Answers

Step-by-step explanation:

x = the number of goals of the top scorer.

y = the number of goals of the second top scorer.

z = the number of goals of the third top scorer.

x + y + z = 98

x = y + 8

y = z + 15

using the third in the second equation we get

x = z + 15 + 8 = z + 23

and now using this and the third equation in the first equation gives us

z + 23 + z + 15 + z = 98

3z + 38 = 98

3z = 60

z = 20

y = z + 15 = 20 + 15 = 35

x = y + 8 = 35 + 8 = 43

the player with the most goals scored 43 goals.

What step would be necessary if you wished to conduct a poll with a margin of error of zero?

Answers

The necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

What is a poll?An opinion poll, often known as a poll or a survey, is a human research survey of public opinion from a specific sample. Opinion polls are often designed to depict a population's opinions by asking a series of questions and then extrapolating generalities in ratio or within confidence intervals. A pollster is somebody who conducts polls.If we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.

As it is given in the description itself, if we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.

Therefore, the necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

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Find the area of the shaded region if the dimensions of the unshaded region are 12ft x 20ft . use 3.14 for π as necessary.

Answers

The area of the shaded region = 810.66 ft²

What is rectangle?

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.

Area of Shaded region:

(12+2*7)*20 - 12*20 + 3.14*((12+2*7)/2)² =

14*20 + 530.66 =

810.66 ft²

Therefore, the area of the shaded region = 810.66 ft²

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An78swer:

Step-by-step explanation:

Find lim f(x) if f(x)
x->5
=
{
-x² -1, x #5
-3, x=5

Answers

Given

[tex]f(x) = \begin{cases} -x^2 - 1 & \text{if }x \neq 5 \\ -3 & \text{if }x=5 \end{cases}[/tex]

we have

[tex]\displaystyle \lim_{x\to5} f(x) = \lim_{x\to5} (-x^2-1) = -5^2-1 = \boxed{-26}[/tex]

since we are approaching [tex]x=5[/tex], so effectively [tex]x\neq 5[/tex] and we use the definition of [tex]f(x)[/tex] under that condition.

Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=3y2−3x2; 2x y=9

Answers

There is a minimum value of -81 located at (x, y) = (6, -3).

The function given to us is f(x, y) = 3y² - 3x².

The constraint given to us is 2x + y = 9.

Rearranging the constraint, we get:

2x + y = 9,

or, y = 9 - 2x.

Substituting this in the function, we get:

f(x, y) = 3y² - 3x²,

or, f(x) = 3(9 - 2x)² - 3x² = 3(81 - 36x + 4x²) - 3x² = 243 - 108x + 12x² - 3x² = 243 - 108x + 9x².

To find the extremum, we differentiate this, with respect to x, and equate that to 0.

f'(x) = - 108 + 18x ... (i)

Equating to 0, we get:

- 108 + 18x = 0,

or, 18x = 108,

or, x = 6.

Differentiating (i), with respect to x again, we get:

f''(x) = 18, which is greater than 0, showing f(x) is minimum at x = 6.

The value of y, when x = 6 is,

y = 9 - 2x,

or, y = 9 - 2*6 = 9 - 12 = -3.

The value of f(x, y) when (x, y) = (6, -3) is,

f(x, y) = 3y² - 3x²,

or, f(x, y) = 3*(-3)² - 3*6² = 3*9 - 3*36 = 27 - 108 = -81.

Thus, there is a minimum value of -81 located at (x, y) = (6, -3).

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Ariel completed the work below to show that a triangle with side lengths of 9, 15, and 12 does not form a right triangle. 9 squared 15 squared = 12 squared. 81 225 = 144. 306 not-equals 144.

Answers

Answer:

Work is incorrect

Step-by-step explanation:

I'm assuming this question is asking whether the work is correct or not? In which case the work is not correct.

The Pythagorean Theorem states: [tex]a^2+b^2=c^2[/tex] where c=hypotenuse, and "a" and "b" are the other two sides. The main thing to note here, is that the hypotenuse is the largest side of all three sides.

So the equation Arial set up: [tex]9^2+15^2=12^2[/tex] is incorrect, since the 15 would need to be on the right side. This forms the correct equation: [tex]9^2+12^2=15^2[/tex] which then simplifies to: [tex]81 + 144 =225 \implies 225=225[/tex].

Thus a right triangle can be formed using these side lengths. You can of course set up a similar equation to Ariels, where the "c" or hypotenuse is not isolated,  but you would have to rearrange the equation so that: [tex]a^2+b^2=c^2\implies b^2=c^2-a^2[/tex] but see how "a squared" is being subtracted from "c squared"? So it's a similar equation to Ariels, but not quite the same, and if she set it up like this, then she would reach the same conclussion

The answer is not correct

Two parallel lines are cut by a transversal. Complete the following statements.

The consecutive interior angles is...
supplementary, complementary, congruent


The alternate interior angles is...
supplementary, complementary,congruent

Answers

To complete the statements;

The consecutive interior angles is supplementary

The alternate interior angles is congruent

Properties of parallel lines cut by a transversal

The properties are;

Corresponding Angles are congruentAlternate Exterior Angles are congruentAlternate Interior Angles are congruentConsecutive Interior Angles sum to 180 degrees, that is, they are supplementary

Consecutive interior angles are supplementary

Alternate interior angles are congruent

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25. A chocolate bar which weighs of a pound is 9/16 cut into seven equal parts. How much do three parts weigh? (A) pound 21/112 (B) pound/27/112 (C) pound 16/63 (D) pound 47/63​

Answers

The three parts weigh 27/112 pound ( letter B).

Rules for Multiplication and Division of FractionsFor Multiplication - First, you should multiply both numerators after that you should multiply both  denominators. Finally, you can simplify if it is necessary.For Division- First, you should repeat the numerator and  after that you should multiply the numerator by the reciprocal of  denominators. Finally, you can simplify if it is necessary.

The question gives:

A chocolate bar that weighs = 9/16A chocolate bar cut  into seven equal parts.

Therefore, each part will be  [tex]\frac{\frac{9}{16} }{7} =\frac{9}{16} *\frac{1}{7} =\frac{9}{112}[/tex].

For knowing the three parts weigh, you should mulitiply the previous value for 3. Thus,

[tex]\frac{9}{112}*3=\frac{27}{112}[/tex].

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The weight of three parts is 27/112 pounds

How to determine the weight of three parts?

The weight of the chocolate bar is given as:

Weight = 9/16

When it is cut into 7 equal parts, the weight of each part is

Each = Weight/7

This gives

Each = 9/16 * 1/7

Evaluate the product

Each = 9/112

The weight of three parts is then calculated as:

Three parts = Each * 3

This gives

Three parts = 9/112 * 3

Evaluate the product

Three parts = 27/112

Hence, the weight of three parts is 27/112 pounds

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The floor of a rectangular room measures 5m by 4m and the ceiling is 3m from the floor. An ant is at the top of a corner of the room and crawls to the opposite bottom corner of the room. Find the shortest distance it can travel. (Cannot do its diagonal distance)

Answers

Answer:

12 m

Step-by-step explanation:

Well, imagine you got this nice room. How can it reach the other corner? It has to go along the 3 dimensions. So the shortest path would be: 5 + 4 + 3  12m

Answer:

3 + √(41) = 9.4 m (nearest tenth)

Step-by-step explanation:

The room can be modeled as a rectangular prism with:

width = 4 mlength = 5 mheight = 3 m

If the ant is at the top of a corner of a room and crawls to the opposite bottom corner of the room, the shortest distance will be to travel down one vertical edge of the room then to travel the diagonal of the floor of the room (or to travel the diagonal of the ceiling and then one vertical edge).

Vertical edge = height of room = 3m

The diagonal of the floor (or ceiling) is the hypotenuse of a right triangle with legs of the width and length.  Therefore, to find the diagonal, use Pythagoras Theorem.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangle

Given:

a = width = 4 mb = length = 5 mc = diagonal

Substitute the given values into the formula and solve for c:

[tex]\implies 4^2+5^2=c^2[/tex]

[tex]\implies c^2=41[/tex]

[tex]\implies c=\sqrt{41}[/tex]

Therefore, the shortest distance the ant can travel is:

⇒ 3 + √(41) = 9.4 m (nearest tenth)

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find the domain and range

Answers

Answer:

domain should be x=1

range is all real numbers

Step-by-step explanation:

Answer:domain should be x=1

range is all real numbers

Step-by-step explanation:

Based on our Starbucks analysis report, 4 out of every 20 drinks are returned because of a customer complaint and 16/20 are not returned. Starbucks makes $4 on a typical drink not returned (probability of 16/20 ), but loses -$6 (probability of 4/20) when a drink is returned because the employee has to re-make it. What is the Expected Value of this problem and are they going to make a profit ?

Answers

Answer:

Step-by-step explanation:

the expected profit should be 2 dollars a drink

The answer to this problem is $2 for each drink

The figure below is made of 222 rectangular prisms.
What is the volume of this figure?
A shape made up of two rectangular prisms. The first rectangular prism has a base that measures 9 inches length by 6 inches width, and has a height of 3 inches. The second rectangular prism sits behind the first rectangular prism. It has a base that measures 10 inches length by 7 inches width and has a height of 3 inches.
please help its a khan question and i have a timer :'D

Answers

Answer:

372 in^3.

Step-by-step explanation:

The volume of the first prism =  9*6*3

= 162 in^3.

Volume of second prism

=  10*7*3

= 210 in^3.

Total vol = 162 + 210

= 372 in^3.

The required volume of the composite prism is 372 cubic inches,

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
To determine the volume of the composite prism,
As we can see there is two rectangular prisms,
Calculate the volume of two individual prisms and add their volume to the composite volume of the figure.

The volume of the first prism
= lenght × width × height
=  9 × 6 ×3 = 162 in³

The volume of the second prism
= lenght × width × height
=  10 × 7 ×3 = 210 in³

The total volume of the composite figure = 162 + 210 = 372 in³.

Thus, the required volume of the composite prism is 372 cubic inches,

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The equations of two lines are given below.

3 x minus y equals 5
3 y equals x minus 15

Are these lines parallel, perpendicular, or neither?

Answers

The lines are neither parallel nor perpendicular

How to determine the relationship between the lines?

The equations of the lines are given as

3 x minus y equals 5

3 y equals x minus 15

Rewrite the equations properly

3x - y = 5

3y = x - 15

Make y the subject in both equations

In 3x - y = 5, we have

y = 3x +  5

In 3y = x - 15, we have

y = 1/3x - 5

The slopes of the two lines are

m1 = 3

m2 = 1/3

The above values are not equal, and they are not opposite reciprocal

This means that the lines are neither parallel nor perpendicular

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