In which year did Eugene, Oregon have the greatest difference between high and low temperatures in November?

A)November 2009
B)November 2010
C)November 2011
D)November 2008

If you mix x quarts of 6% butterfat milk with y quarts of 2% butterfat milk, then the resulting mixture would have a total volume of x + y quarts.

1 quart of the 6% milk contains 0.06 quart of fat, and 1 quart of the 2% contains 0.02 quart of fat. So x quarts of 6% milk contains 0.06x quart and y quarts of 2% milk contains 0.02y quart of fat, and the resulting mixture would contain a total of (0.06x + 0.02y) quarts of fat.

You want to end up with 80 quarts of 5% milk, which contains 0.05 • 80 quarts = 4 quarts of fat, so that

x + y = 80

0.06x + 0.02y = 4

Solve for x and y :

y = 80 - x

0.06x + 0.02 (80 - x) = 4

0.06x + 1.6 - 0.02x = 4

0.04x = 2.4

x = 60

y = 20

the answer is D

300/6 = x/10

once solved, it will be proportional

Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

From the calculation, the original number is obtained as 84.

We know that we are told in the question that in the question, we are required to obtain the number and that is what we are going to do below.

Let the tens digit be T and let the units digit be U

We can then write

10U+T = 10T+U-36

Since the reversed number is 36 less than the original number.

Then;

9U = 9T -36

Dividing both sides of the equation by  9

U = T -4

U=2U-4

U=4

T = 8

It then follows that the original number is 84.

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Answer: ;otherwise, your eyes will become very irritated from the chlorine.

Step-by-step explanation: I took the test

Answer:

the answer above is right i jus took the test

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The value of the square length of the hypotenuse is equal to sum of the square length of the two legs: let x represent the missing side

\(\sqrt{} 85^{2}\) = 7^2 + x^2 calculate the powers

85 = 49 + x^2 subtract 49 from both sides

36 = x^2 find the root of the both sides

6 = x

If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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The best estimate for the population mean that Bryce will score a 90% or better is 0.625.

Based on the given information, Bryce played the same song on Guitar Hero 8 times and scored percentages of 89%, 82%, 90%, 88%, 89%, 91%, 85%, and 95%. He wants to know the population mean that he will score a 90% or better. Which would be the best estimate?

To find the population mean, we need to calculate the average of Bryce's scores.

Step 1: Add up all the scores: 89 + 82 + 90 + 88 + 89 + 91 + 85 + 95 = 709.

Step 2: Divide the sum by the total number of scores (8): 709 / 8 = 88.625.

Therefore, the best estimate for the population mean that Bryce will score a 90% or better is 0.625.

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The solution to the differential equation with the given initial condition is y = (√(\(x^2 + 1\)) - 3x) / 2.

We can separate the variables and integrate both sides as follows:

∫ 1/(9x - 4y√(\(x^2 + 1\))) dy = ∫ dx

Let u = \(x^2 + 1\), then du/dx = 2x and we have:

∫ 1/(9x - 4y√(\(x^2 + 1\))) dy = ∫ 1/u * (du/dx) dy

∫ 1/(9x - 4y√(\(x^2 + 1\))) dy = ∫ 2x/(\(9x^2 - 4y^2u\)) du

We can now integrate both sides with respect to their respective variables:

(1/4)ln|9x - 4y√(\(x^2\) + 1)| + C1 = ln|u| + C2

(1/4)ln|9x - 4y√(\(x^2\) + 1)| + C1 = ln|x^2 + 1| + C2

where C1 and C2 are constants of integration.

Using the initial condition y(0) = 4, we can substitute x = 0 and y = 4 into the above equation to solve for C1 and C2:

(1/4)ln|36| + C1 = ln|1| + C2

C1 = C2 - (1/4)ln(36)

Substituting this into the above equation, we get:

(1/4)ln|9x - 4y√(\(x^2 + 1\))| = ln|\(x^2 + 1\)| - (1/4)ln(36)

Taking the exponential of both sides, we get:

|9x - 4y√(\(x^2 + 1)|^{(1/4)\) = |\(x^2 + 1|^{(1/4)\) / 6

Squaring both sides and simplifying, we get:

y = (√(\(x^2 + 1\)) - 3x) / 2

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Answer:

d) m + s = 20

m = 5

Step-by-step explanation:

m + 3s = 50

m + s = 20

m + 3(20-m) = 50

m + 60 - 3m = 50

60 - 2m = 50

60 = 50 + 2m

60 - 50 = 2m

10 = 2m

5 = m

Answer:

37

Step-by-step explanation:

Answer: Brain paid $ 45.5 for the jacket.

Step-by-step explanation:

Given: Original price of jacket = $ 65

Discount -= 30%

Price after discount = Original price - 30% of Original price

= 65 - 30% of 65

= 65 - (0.3) x 65    [30% = 0.3]

= (65)   (1-0.3 )             [Taking 65 common]

= (65)(0.7)

= $ 45.5

Hence, Brain paid $ 45.5 for the jacket.

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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The total value of the furniture that was sold by Dennis is 3,500 dollars.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Dennis made an extra $245.00 for selling furniture.

Let the cost of the furniture be x.

Let the total value of the furniture be x + 245.

The extra $245.00 was 7% of the total value of the furniture he sold.

0.07(x + 245) = 245

        x+ 245 = 3500

                  x = 3255

Then the total value of the furniture is (3,255 + 245 =) $3,500.

Hope it helped!

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of \(\frac{1}2\) to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

Area of a right angled triangle is given by:

\(A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units\)

If scaled with a factor \(\frac{1}{2}\), the sides will be 3, 4 and 5.

New area, A':

\(A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A\)

i.e. Area becomes one fourth.

Sides be 8 and 10 units.

Area of a rectangle, A = \(Length \times Width\) = 8 \(\times\) 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 \(\times\) 5 =20 sq units

So, \(\bold{A' = \frac{1}4 \times A}\)

Now, we can apply the same in the given question.

\(\therefore\) Area of polygon D = \(\bold{\frac{1}{4}}\)\(\times\) Area of polygon C

Area of polygon D = \(\bold{\frac{1}{4}}\)\(\times\) 40 = 10 sq units

Answer:

Step-by-step explanation:

10

Answer: Hello how are you doing today?

Step-by-step explanation: How may I help you?

Answer:

\(-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7\)

Step-by-step explanation:

Given

\(7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2\)

Required

Order from least to greatest

\(7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2\)

Convert 1/2 and -1/10 to decimals

\(7, -3, 0.5, -0.8, 0.8, -0.1, -2\)

Negative numbers are always the least of all numbers.

In the given list, the negative numbers are:

\(-3, -0.8, -0.1, -2\)

The higher the magnitude of a negative number, the smaller it is.

--------------------------------------------------------------------------------------------

Take for instance: -7 and -8.

-8 has a magnitude of 8 and -7 has a magnitude of 7.

Because 8 > 7 (the magnitudes), then

-8 < -7

--------------------------------------------------------------------------------------------

Using the above analysis:

\(-3, -0.8, -0.1, -2\) from least to greatest is:

\(-3, -2, -0.8, -0.1\)

Considering the positive numbers:

\(7, 0.5, 0.8\)

From least to greatest, it is:

\(0.5, 0.8, 7\)

Merge the negative and the positive numbers:

\(-3, -2, -0.8, -0.1,0.5, 0.8, 7\)

Convert 0.5 and -0.1 back to fractions

\(-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7\)

Answer:

113 moteis

Step-by-step explanation:

A = 7 x 4 = 28 yards^2

1 yard - 0,9 m

1 yard^2 - 0,81 m^2

28 yards^2 - A

A = 28 x 0,81 = 22,68m^2

22,68 x 5 = 113,4

113 moteis

Answer:

140

Step-by-step explanation:

because it is

Answer:

He has ran 15 miles and passed the bank 12 miles from his location where he is at.

Step-by-step explanation:

WHY WAS HE ROBBING A BANK?????????

Answer:

Step-by-step explanation:

His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.

After 3 hours he has gone 5(3)+3 miles, or 18 miles

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

\($\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$\)

\($\sin \ \theta = \frac{60,000}{90,000}$\)

\($\sin \ \theta = \frac{2}{3}$\)

\($\sin \ \theta = 0.667$\)

∴ \($\theta = \sin^{-1 }(0.667)$\)

     = 41.83°

Answer:

4 < n < 130.

Step-by-step explanation:

n is a positive integer

n^100 > 2^200

2^2*100 = 2^200

4 ^100 = 2^200

So n > 4

(130n)^50 > n^100

130^50 * n^50 > n^100

130^50 > n^50

130 >n

so n < 130.

Answer:

Step-by-step explanation:

To solve this problem let us find out how many text messages can be sent from both phones

1. Phones-R-Us

total charges= $16.95

cost per text message= $0.05

number of text message= 16.95/0.05

=339 messages

2. Awesome wireless

total charges= $22.95

cost per text message= $0.02

number of text message= 22.95/0.02

=1147.5messages

Now if Awesome wireless to equal Phones-R-Us then the number of sms would be

16.95/0.02

=874.5 text messages

Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

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The probability of selecting a family that prepared their own taxes is approximately 0.478, or 47.8%.

The probability of selecting two families, both of which prepared their own taxes, is approximately 0.221, or 22.1%.

The probability of selecting three families, all of which prepared their own taxes, is approximately 0.098, or 9.8%.

The probability of selecting two families, neither of which had their taxes prepared by H&R Block, is approximately 0.520, or 52.0%.

Here, we have,

a. The probability of selecting a family that prepared their own taxes can be calculated by dividing the number of families that prepared their own taxes (11) by the total number of families (23):

P(family prepared own taxes) = 11/23 = 0.478

There are 11 families that prepared their own taxes out of a total of 23 families.

The probability of selecting a family that prepared their own taxes is approximately 0.478, or 47.8%.

b. The probability of selecting two families, both of which prepared their own taxes, can be calculated by multiplying the probability of selecting the first family that prepared their own taxes (11/23) by the probability of selecting the second family from the remaining families that also prepared their own taxes:

P(both families prepared own taxes) = (11/23) * (10/22) = 0.221

The probability of selecting the first family that prepared their own taxes is 11/23. After selecting the first family, there are 10 families left that prepared their own taxes out of the remaining 22 families.

The probability of selecting two families, both of which prepared their own taxes, is approximately 0.221, or 22.1%.

c. The probability of selecting three families, all of which prepared their own taxes, can be calculated by multiplying the probability of selecting the first family that prepared their own taxes (11/23) by the probability of selecting the second family from the remaining families that prepared their own taxes (10/22), and then multiplying by the probability of selecting the third family from the remaining families that prepared their own taxes (9/21):

P(all families prepared own taxes) = (11/23) * (10/22) * (9/21) ≈ 0.098

The probability of selecting the first family that prepared their own taxes is 11/23. After selecting the first family, there are 10 families left that prepared their own taxes out of the remaining 22 families. Similarly, after selecting the second family, there are 9 families left that prepared their own taxes out of the remaining 21 families.

The probability of selecting three families, all of which prepared their own taxes, is approximately 0.098, or 9.8%.

d. The probability of selecting two families, neither of which had their taxes prepared by H&R Block, can be calculated by multiplying the probability of selecting the first family that did not have their taxes prepared by H&R Block (17/23) by the probability of selecting the second family from the remaining families that also did not have their taxes prepared by H&R Block (16/22):

P(neither family had taxes prepared by H&R Block) = (17/23) * (16/22) ≈ 0.520

The probability of selecting the first family that did not have their taxes prepared by H&R Block is 17/23. After selecting the first family, there are 16 families left that did not have their taxes prepared by H&R Block out of the remaining 22 families.

The probability of selecting two families, neither of which had their taxes prepared by H&R Block, is approximately 0.520, or 52.0%.

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Answer:

Let h(x) = y

y = 4^(x+3) -2

For x intercept let y = 0

2 = 4^(x+3)

2= 2^2(x+3)

1 = 2x +6

2x = -5

2x = -5

Divide by 2

x = -5/2

The x intercept for the function is ( -5/2, 0)

Hope this helps.

Answer:

(-2.5,0)

Step-by-step explanation:

\(h(x)=4^{x+3}-2\)

Since the x intercept of a graph is when the y value is 0:

\(0=4^{x+3}-2 \\\\2=4^{x+3} \\\\2=(2^2)^{x+3} \\\\2^1=2^{2x+6} \\\\1=2x+6 \\\\2x=-5 \\\\x=-2.5\)

Hope this helps!

Answer:

126

might be the answer

You can Check by counting the box

Answer:

6)a. π(16²)x = 62,731.3

b.

\(x = \frac{62731.3}{\pi( {16}^{2} )} = 78\)

c. The height is 78 cm.