One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?

Answers

Answer 1

Answer:

Answer:

-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:

$0.91*3.8=$3.46

This means that a gallon of gas cost $3.46 in Toronto.

-$3.46-$2.29=$1.17

Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.

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Brian invests £600 into his bank account. He receives 3.2% per year compound interest. How much will Brian have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = £600

r = 3.2% = 3.2/100 = 0.32

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

A = 600(1 + 0.032/1)^1 × 6

A = 600(1.032)^6

A = £724.82

Assuming that there are 10 digits used as telephone number and the area code is a fixed 3 digit number. How many different telephone numbers could be created?

Answers

9,999,999,999,987 Of course, if 'numbers' with leading digits e.g. 0 000 087 654 321, and all zeros, are not counted as valid 'numbers' then there are 13 less possibilities. i.e. There are only 9,999,999,999,987 possibilities.

Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?

Answers

with a parabola that faces left or right it is
(y-k)²=4p(x-h)

p is distance from directix to vertex which is also the distance from vertex to focus

if it opens to the right, then p is positive
if it opens to the left, then p is negative

so we know that directix is-8 and focus is (8,0)
directix is behind the parabola
so therfor the parabola opens to the right
distance from x=-8 to (8,0) is 16 units
16/2=8
p=8

vertex is 8 units to right of directix or 8 units to the left of focus
(8,0) is focus so vertex is (0,0)

(h,k) is vertex
(y-k)²=4p(x-h)
(y-0)²=4(16)(x-0)
y²=64x

Answer:

If your on e2020, its C

Step-by-step explanation:

y^2=32x, the work above is correct but they forgot to take the square away in the final answer. hope this helps!

Help me please Algebra two!

Answers

Answer:

Zeros: -3 odd mult.; 0 odd mult.; 2 odd mult.

Positive leading coefficient

Odd degree likely 3

Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.

Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.

The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.

A wooden plank is leaning against an outside wall of a building. The bottom of the plank is 3 ft from the wall. Find each of the following values, and show all your work. (a) Find the approximate length of the plank. Round to the nearest tenth of a foot. (b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

Answers

(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.

cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft

(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

The remaining angle is equal to
angle = 180 - (90+49)
angle = 41

Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.

(A) 0.10 feet
(B) 0.05 feet

Identify the direction of rotation that maps triangle BCD to triangle B’C’D’.The triangle is rotated in a
direction-----

Answers

The triangle is rotated in a clockwise direction, as per the given conditions.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
It seems to be questioned is incomplete, we assume that the direction of rotation that maps triangle BCD to triangle B’C’D’ on a coordinate plane from quadrant 2 to quadrant 1 is about the origin. As rotation from quadrat 2 to one about origin represents the clockwise direction.

Thus, the triangle is rotated in a clockwise direction, as per the given conditions.

Learn more about triangles here:
brainly.com/question/2773823

#SPJ6

Answer:

clockwise

Step-by-step explanation:

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