The temperature in Toronto was 14 F. The temperature that same night fell to -5 F. What was the difference in temperatures?


A.) 9 degrees
B.) 11 degrees
C.) 19 degrees
D.) 21 degrees

Answer:

80 ounces

Step-by-step explanation:

1 pound is 16 ounces

5 pounds is x ounces.

[tex]\frac{1}{16}=\frac{5}{x}[/tex]

Cross multiply.

[tex]\frac{16*5}{1}=80[/tex]

Answer:

No

Step-by-step explanation:

If you simplify 17/8;

You'd get 2 1/8, and that is not proportional to 1/2.

Answer:NO

Step-by-step explanation:

17 is a prime number hence can't be simplified.

⇒ 17/8 can't be simplified

Answer:

Quadrant III.

Step-by-step explanation:

u said the answer :3

The quadrant that θ lies given that sinθ < 0 and cosθ > 0 will be Quadrant IV

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

we need to first know the signs of the trigonometric functions in each of the 4 quadrants going in an anti-clockwise direction.

In the first quadrant, the cot, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sine is positive.

In the third quadrant going anti-clockwise, only tangent is positive.

In the fourth quadrant going anti-clockwise, only cosine is positive.

We are told that the

sinθ < 0 and cos θ > 0.

This means that sine is negative and cosine is positive.

Looking at the rule, it is clear that the angle is in the fourth quadrant.

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Answer:

14

Step-by-step explanation:

There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.

Answer:

1500

Step-by-step explanation:

Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!

Answer:

9 contestants

Step-by-step explanation:

Out of the 16 contestants, 12 of them qualified for the bonus round.

This means, that 12/16, or 75% of the contestants qualified for the bonus round.

Out of the remaining 12 contestants, I would expect (75%)(12), or 9 contestants to qualify for the next bonus round.

Let me know if this helps!

Answer:The answer is 9

Step-by-step explanation:

12 of the 16 contestants on the game show qualified. That is 75% of the contestants. Applying this to the next 12, 12 contestants x 75% is 9 qualifying contestants.

Answer:

185,500 -.15(185,500)=157,675

Yes he can afford it, it doesn't go over his income and it's %27 below.

after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828

after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²

so

after n years he will get : 800 x 1,035ⁿ

Answer:

Step-by-step explanation:

800 x 1,035ⁿ

The statement that is true about trend lines is: A. A trend line should be as close as possible to the points.

A trend line, which can also be called the line of best fit, is a straight line that represents the pattern of a data, which can be positive or negative.

A trend line does not necessarily need to connects all the points, but goes through some points to show the pattern. It may not even be necessary to go through any of the points, what's improtant is for the trend line to be close to as many points as possible.

Therefore, the statement that is true about trend lines is: A. A trend line should be as close as possible to the points.

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Answer:

it is D

Step-by-step explanation:

since he wants no more than 15

Answer:

D

Step-by-step explanation:

Since it says "no more than 15" coach Wilson wants either 15 turnovers or less in his game. Therefore, t is equal to less than or equal to 15.

Answer:

[tex]f(x)=\sqrt[3]{x-2} +1[/tex]

Step-by-step explanation:

Given function for graph:  [tex]f(x)=1\sqrt[3]{x-h} +k[/tex]

where (h, k) is the midpoint of the curve.

Therefore, the parent function is [tex]f(x)=\sqrt[3]{x}[/tex]

[tex]f(x)=1\sqrt[3]{x-h} +k[/tex] can be obtained by translating [tex]f(x)=\sqrt[3]{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt[3]{x}[/tex] is the origin

Therefore, this graph has been translated 2 units to the right and 1 unit up.

Therefore, [tex]h=2[/tex] and [tex]k=1[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt[3]{x-2} +1[/tex]

Yes it does include the test point (0, 0)

switch sides

Multiply both sides by -1 reverses the inequality

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

Answer:

512√3 - 320√15 + 16√6

Step-by-step explanation:

4^3√192 simplified is 64√192. This can be simplified even further to 512√3. 4^3√375 simplified is 64√375, which is 320√15. 2^3√24 simplified is 8√24, which is 16√6. Therefore the answer is 512√3 - 320√15 + 16√6.

This can go on forever, we can then establish the recursive formula which states:

t(2)=t(1)+d

t(3)=t(2)+d, but t(2)=t(1)+d

t(3)=t(1)+d+d

t(3)=t(1)+2d

t(4)=t(1)+3d

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.

Now, the password may look like one of those:

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

[tex]175760 \times 4 = 703040[/tex]

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

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Answer:

19 boxes, but only 18 of them will be completely full

Step-by-step explanation:

Divide 75 by 4 to see how many boxes you can completely fill. You get 18 and 3/4, so there will be 18 boxes of four muffins (completely full), and one box with 3 muffins in it.

Hopefully this helps - let me know if you have any questions!

Answer:

A = $6,625.00

Step-by-step explanation:

A = P(1 + rt)

A = 5000(1 + (0.065 × 5)) = 6625

The tax revenue Australia would generate each year is $96,054,697,991.

The percentage is the value per hundred.

Working population of Australia =  11,565,470 people

Annual average salary = $26,450

Income tax rate = 31.4%

Tax revenue generated by each resident = 26450*(31.4/100)

Tax revenue generated by each resident =$8305.3

So, Tax revenue generated by 11,565,470 residents =  11,565,470*8305.3

Tax revenue generated by 11,565,470 residents = $96,054,697,991

Therefore, the tax revenue Australia would generate each year is $96,054,697,991.

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Answer:

b is your answer to this question

The money lost due to a hard time for the company is $986.4.

Number of shares =45

Price per share =$63.12

So, the total cost of buying 45 shares = 45*63.12 = $2840.4

Total selling price when the company falls on hard times and you end up selling the stock for $41.20 per share = 41.20*45 = $1854

Mathematically, the loss is the difference between the cost price and the selling price.

Difference between the selling price and the cost price = 2840.4 - 1854

So, the difference between the selling price and the cost price = $986.4

Therefore, The money lost due to a hard time for the company is $986.4.

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Answer:

1/4

Step-by-step explanation:

20n=5

n=5/20

n=1/4

therefore, it's 1/4

Answer:

1/4th

Step-by-step explanation:

All we need to do is get the N by itself, and since the 20 is multiplied by the N, we would divide to get rid of it on both sides. then we have n=5/20, and since 5 goes into 20 4 times, we can simplify it to 1/4th.

please mark as brianlest.

The distance between points (4,6) and (4,-1) is 7 units.

Given The coordinates of the end points of line (4,6) and (4,-1).

Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.

The distance between two points can be calculated as under:

Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).

To calculate the distance we need to put the values of coordinates in the formula:

Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]

=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]

=[tex]\sqrt{0+49}[/tex]

=[tex]\sqrt{49}[/tex]

=7

Hence the distance between (4,6) and (4,-1) is 7 units.

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Answer:

it would be 7 units :)

Step-by-step explanation: cuz im smart and said so

t=3.673900

Given

df = 28df=28 -- degree of freedom

Area = 0.005Area=0.005

Required

Determine the t-value

The given parameters can be illustrated as follows:

P(T > t) = \alphaP(T>t)=α

Where

\alpha = 0.005α=0.005

So, we have:

P(T > t) = 0.005P(T>t)=0.005

To solve further, we make use of the attached the student's t distribution table.

From the attached table,

The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900

Hence, t = 3.673900t=3.673900

Answer:

t = 9

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

sum the exterior angles and equate to 360

10t + 16t + 53 + 73 = 360 , that is

26t + 126 = 360 ( subtract 126 from both sides )

26t = 234 ( divide both sides by 26 )

t = 9

Answer:

Step-by-step explanation:

Since cotangent of angle is:

And

The value of cot λ is:

Correct choice is B

A situation when the government most likely have a contractionary fiscal policy is D. when the level of economic output is running unusually high.

Contractionary fiscal policy is when the government collects more money than it spends. This is usually done by increasing taxes and reducing government expenditure.

During a recession, unemployment will increase tax revenue collected by the government will decrease, and spending by the government will increase.

According to the new classical critique of fiscal policy, consumers increase their savings in response to government spending because they believe they will eventually need the saved money when they have to pay higher taxes.

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Answer:

You mowed 112.5 square meters of your grass.

Step-by-step explanation:

First, convert the percentage to a fraction.

75% = 3/4

Then to find 75% of 150, multiply 3/4 and 150.

(3/4) * 150

(3*150)/4

450/4

112.5

We can now say that 75% of 150 is 112.5, meaning you mowed 112.5 square meters of your grass.

Answer:

[tex]\huge\boxed{\sf 112.5 \ m^2\\}[/tex]

Step-by-step explanation:

Grass mowed:

= 75% of 150 m²

[Key: "of" means "to multiply" and "%" means "out of 100"]

[tex]\displaystyle = \frac{75}{100 } \times 150\\\\= \frac{75 \times 15}{10} \\\\= \frac{1125}{10} \\\\= 112.5 \ m^2\\\\\rule[225]{225}{2}[/tex]

Using proportions, it is found that the infusion rate is of 150 ml/hr.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 50 ml are administered over 20 minutes. How much is administered over one hour = 60 minutes? The rule of three is:

50 ml - 20 min

x ml - 60 min

Applying cross multiplication:

x = 50(60)/20

x = 50(3)

x = 150.

The infusion rate is of 150 ml/hr.

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