The average price for regular gasoline in Toronto is $1.35 per liter, or L (in Canadian dollars, as of
April 2014).
Part A: The exchange rate between the US and Canada varies continuously. Assume that, in April
2014, the rate was US$ 0.92 for each Canadian dollar. Determine the cost in U.S. dollars (US$) for 1 L
of gasoline in Toronto. Round to the nearest cent.
Hint
$1.35 Canadian = US$
Part B: There are 3.78541 L in 1 gallon (gal). Determine the cost in U.S. dollars (US$) for 1 gal of
gasoline in Toronto. Round to the nearest cent.
Hint
1 gal costs US$

Answer:

quadrant I

Step-by-step explanation:

because both numbers are positive and quadrant I is the only one that has positive numbers on the y and x axis.

Answer:

C. Quadrant 1

Step-by-step explanation:

if both X and Y are positive, then the point lies in the Quadrant I.

Answer:

30

Step-by-step explanation:

3+0.2x

3(2)+0.1x

8.1

26

The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is  - e.

What is slope?

[tex]l_{n} P = \frac{- Delta H_{vol} }{R} ( 1 T ) + C[/tex]

Yy = mx + c

[tex]m = \frac{- Delta H_{vol} }{R}[/tex]

m = slope

Ans = - e

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Answer: 7.333

Step-by-step explanation:

first move the three over 47-3 = 6y

the divide by - 6 to get y by itself 44/-6 = y

Answer:

D.

Step-by-step explanation:

The inequality graphed matches the graph on the answer choice D.

Hope this helps <3

The expression c = 9.10 + 0.42(w-5) ; w > 5 will represent the cost c in terms of w, the total weight in pounds of a package weighing over 5 lbs.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Total cost below 5 lbs = base fee

Total cost over 5 lbs = base fee + additional 0.42/pound

Let's say the total cost is c and the total pounds is w

Then,

c = 9.10 + 0.42(w-5) ; w > 5

Here for w = 6 it will gives w - 5 = 6 - 5 = 1 lbs.

Hence "The expression c = 9.10 + 0.42(w) ; w > 5 will represent the cost c in terms of w".

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The inequality which represents all the possible values for x is (2x/3) - 6 ≥ 24.

It is given in the question that the difference of two-thirds of a number x and 6 is at least -24.

We have to find the inequality which represents all the possible values for x.

In mathematics, Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Hence, according to the data given in the question, we can write,

(2x/3) - 6 ≥ 24

Here, we can also find the possible values of x.

(2x/3) - 6 ≥ 24

2x/3  ≥ 24 + 6

2x/3  ≥ 30

x  ≥ 30*3/2

x  ≥ 45

Hence, every number greater than or equal to 45 will be a possible value of x.

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The equation of the function g(x) is g(x) = -2|x - 2| + 5

The function f(x) is given as

f(x) = 2|x - 2| - 5

The rule of the transformation is a reflection across the x-axis

This is represented as

g(x) = -f(x)

So, we have

-f(x) = -2|x - 2| + 5

Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5

g(x) = -2|x - 2| + 5

Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5

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Answer: B

Step-by-step explanation: A Postulate is statement that is assumed true with no proof.

A hypothesis is an explanation provided for a phenomena. The correct option is B.

A hypothesis is an explanation provided for a phenomena. The scientific method demands that a hypothesis be testable in order for it to be considered a scientific hypothesis. Scientists often establish scientific hypotheses on past data that cannot be adequately explained by existing scientific ideas.

The one that cannot be used to explain why a hypothesis is true is a postulate. This is because a postulate is a statement that is considered to be true but has no supporting evidence.

Hence, the correct option is B.

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The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.

What is the monthly payment under simple interest?

The total interest on the simple interest basis can be determined as the cost of the home improvement multiplied by the annual simple interest rate and also multiplied by the number of years

I=PRT

I=interest for 3 years=unknown

P=principal=$11,000

R=simple interest rate=6%

T=number of years=3

I=$11000*6%*3

I=$1980

There are 12 months multiplied by 3 years

monthly payment=($11,000+$1,980)/(3*12)

monthly payment=$360.56

Monthly compounding option:

PV=PMT*(1-(1+r)^-N/r

PV=loan amount=$11,000

PMT=monthly payment=unknown

r=monthly interest rate=16%/12=0.0133333333333333

N=number of monthly payments in 6 years=12*6=72

$11,000=PMT*(1-(1+0.0133333333333333)^-72/0.0133333333333333

PMT=$238.61

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Answer:

this is a finance and it is an

Answer:

I times the 12 by 5 and divided by 2 and subtract by 12

I get 18 and I thought it is 18

Answer:

Step-by-step explanation:

If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4

If rolled 12 times, then 4/12 times the number would be greater than 4

4/12 = 1/3

Answer:

Step-by-step explanation:

Comment

The key to this is to know what a remote angle is. A remote angle is one that has one leg in common with the exterior angle. Make this a little simpler.

The exterior angle is outside the triangle. In this case it is the 157 degree angle.

The two remote angles each contribute just one side to the exterior angle. <B contributes BC and <A

Theorem

The two remote angles = the exterior angle.

Equation

x + x - 21 = 157

Solution

x + x - 21 = 157                    Combine the left side

2x - 21 = 157                       Add 21 to both sides

2x - 21 + 21 = 157+21         Combine  

2x = 178                             Divide by 2

2x/2 = 178/2

x = 89

Answer

x = A = 88

89 - 21 = B =68

Answer:

no sé

Step-by-step explanation:

Step-by-step explanation:

18.

[tex] = { ({x}^{2}) }^{ - 3} .2 {x}^{3} [/tex]

[tex] = {x}^{2 \times ( - 3)} .2 {x}^{3} [/tex]

[tex] = {x}^{ - 6} .2 {x}^{3} [/tex]

[tex] = 2 {x}^{ - 6 + 3} [/tex]

[tex] = 2 {x}^{3} [/tex]

[tex] = \frac{2}{ {x}^{3} } [/tex]

[tex] \: [/tex]

19.

[tex] = {(2m)}^{2} . {(3 {m}^{3} )}^{2} [/tex]

[tex] = {2}^{2} {m}^{2} . {3}^{2} {m}^{3 \times 2} [/tex]

[tex] = 4 {m}^{2} .9 {m}^{6} [/tex]

[tex] = (4 \times 9) {m}^{2 + 6} [/tex]

[tex] = 36 {m}^{8} [/tex]

Approximately 99.7% of the data fall within three standard deviations of the mean.

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

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The fraction of the books in the library that are fiction and paperbacks is 18/35

3/5 of the books in the library are fiction

6/7 of the books are paperback

Therefore the fraction of the books that are fictions and paperbacks can be calculated as follows

3/5 × 6/7

= 18/35

Hence 18/35 of the books are fiction and paperbacks

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The side length of the cube is 4 feet. Then the surface area of the cube will be 96 square feet.

Suppose that: The side length of the considered cube is L units. Then, we get:

The volume of that cube = L³ cubic units.

The surface area of that cube = 6L² square units.

In February 2003, the Battlefords Chamber of Commerce in Saskatchewan placed a cage containing a 64-cubic foot ice cube along Yellowhead Highway. Then the side length of a cube will be

64 = L³

L = ∛64

L = 4 feet

Then the surface area of the cube will be

SA = 6 x 4²

SA = 6 x 16

SA = 96 square feet

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If the volume of the cone is 96 cm^3 and the radius is 6 cm then the height of the cone is equal to 2.55 cm.

The height of the cone can be defined as the extent of the altitude of the cone. The height of a cone can be determined using its volume and radius values. The formula for the volume of a cone can be given as:

V= πr²h/3

Here, V is the volume of the cone, r is the radius of the cone and h is the height.

This equation can be rearranged to find the value of height as follows,

h=3V/πr²

Now, add the given values to the equation,

h= 3(96)/π(6²)

h= 288/π(36)

As π = 3.14

h= 288/3.14(36)

h= 288/ 113.04

h= 2.55 cm

Thus, the height of the cone is calculated to be 2.55 cm.

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Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:

N = 8, k = 5, n = 3, x = 3.

Hence the probability is given by:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,8,3,5) = \frac{C_{5,3}C_{3,0}}{C_{8,3}} = 0.1786[/tex]

0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

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Answer:

26,000,000

Step-by-step explanation:

I had that question before

Answer:

26,000,000

Step-by-step explanation:

9 is the hundred thousand digit starting from behind .

So, you start rounding up from 9.

Answer:

1. 60,000

2. 80,000

3. 100,000

4. 90,000

5. 60,000

Step-by-step explanation:

Remember if the thousands digit is 5 or greater, round up, if the thousands digit is 4 or less, round down.

57342 (up) 76564 (up) 95634 (up) 85756 (up) 63526 (down)

Answer:

the answer of finding highest common factor is 286286

Answer:

24167    ( or   11 x 13^3)

Step-by-step explanation:

x = 2 x 7 x 11 x 11^2 x 13^3 x 13^2

y = 3       x 11            x 13^3  

The underlined are common factors of x and y

     11 x 13^3 = 24167   is the GCF

Osvoldo did not meet his goal of getting at least 30% carbohydrates

Although a part of your question is missing, you might refer to this full question: Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains. Did Osvoldo meet his goal?

Total carbohydrates he ate = 220 grams

Carbohydrates intake from whole grains = 55 grams

Percentage of carbohydrates in whole grains = (Carbohydrates from whole grain/Total carbohydrate intake)*100

=(55/220)*100

=0.25*100

=25%

Osvoldo got 25% carbohydrates as against his goal of at least 30% carbohydrates

Hence, he did not meet his goal of getting at least 30% carbohydrates

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Answer: -sinx

the derivative of f(x)f(x) with respect to x is the function f′(x)f′(x) and is defined as,

f’(x) = lim h tends to 0 [ f(x + h) – f(x) / h ]

A function f(x)f(x) is called differentiable at x=ax=a if f′(a)f′(a) exists and f(x)f(x) is called differentiable on an interval if the derivative exists for each point in that interval.

y = cos(x) + a^3

differentiating both sides with respect to x

dy / dx = d/dx (cosx)  +  d/dx (a^3)

by basic differentiation we know that

d/dx of cosx  = -sinx

and differentiation of a constant is 0

therefore,

dy / dx = -sinx + 0

dy / dx = -sinx

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Answer:

80

Step-by-step explanation:

We have a specific formula for the Surface Area of a Pyramid.

Which is= A+1/2ps ))))

1. A stands for the Area of the base. let's find our area! (This is length x width)

So this is 4x4=16

2. Now, P stands for PERIMETER of the base, which means we add all of the sides together. That would be 4+4+4+4=16.

3. Finally, S stands for Slant Height. Which is eight inches.

Lets plug our numbers in!

4. Now we get a sparkly, full formula! 16+1/2x16x8

5. 16+1/2x128

6. 16+64

7. 80

if this answer is wrong, dislike it/report it!
much love <333 have a nice day!

Answer: -2.0, -1.02, 0.25, 1.98

Step-by-step explanation:

Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)

Answer:

[tex] \sf \large \: x≥ \frac{7}{2} or x≤ \frac{3}{2}[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

5−3(|2x−5|)≤−1

−3(|2x−5|)+5≤−1

Step 1: Add -5 to both sides.

−3(|2x−5|)+5+−5≤−1+−5

−3(|2x−5|)≤−6

Step 2: Divide both sides by -3.

−3(|2x−5|)/−3 ≤ −6/−3

|2x−5|≥2

Step 3: Solve Absolute Value.

|2x−5|≥2

We know either2x−5≥2or2x−5≤−2

2x−5≥2(Possibility 1)

2x−5+5≥2+5(Add 5 to both sides)

2x≥7

2x/2 ≥ 7/2

(Divide both sides by 2)

x≥7/2

2x−5≤−2(Possibility 2)

2x−5+5≤−2+5(Add 5 to both sides)

2x≤3

2x/2 ≤ 3/2

(Divide both sides by 2)

x≤ 3/2

Answer: B(-2,-7)

Step-by-step explanation:

[tex]\displaystyle\\M(x_M,y_M)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2}) \\\\x_A=2\ \ \ \ x_M=0\ \ \ \ y_A=-1\ \ \ \ y_M=-4\\\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of \ the \ equation\ by\ 2:\\2x_M=x_A+x_B\\\\\Rightarrow\ x_B=2x_M-x_A\\\Rightarrow \ x_B=2(0)-2\\\Rightarrow\ x_B=0-2\\\Rightarrow\ x_B=-2\\Similarly,\\y_B=2y_M-y_A\\y_B=2(-4)-(-1)1\\y_B=-8+1\\y_B=-7\\Thus,\\B(-2,-7)[/tex]

Answer:

b

Step-by-step explanation:

5x + 4y [tex]\geq[/tex] 2

4y [tex]\geq[/tex] - 5x + 2

y [tex]\geq[/tex] (-5/4)x + (1/2)