If the weather in City A decreased constantly through the night from
5:00 PM to 9:00 PM, what is the rate of decrease of the weather in
degrees per hour if the temperature dropped from 20 degrees to 12
degrees?

A) 2
B) -2
C) 8
D) -8
E) 1

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

540 = ??? pages

So there are 540 pages in his favourite book.

Answer:

One root ; x = 3

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

y = x² - 6x + 9

x² - 6x + 9 = x² - 2(x)(3) + 3² = ( x - 3 )²

( x - 3 )² = 0 ⇒ x - 3 = 0 ⇒ x = 3

Answer:

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees

180-40-60 = 80

80 degrees

80 degrees is an acute angle.

Answer:

It would be 80 degrees which is an acute angle

Step-by-step explanation:

A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!

Let's recall what is the scientific notation:

Scientific notation is the way that scientists easily handle very large numbers or very small numbers.

And now, let's convert this scientific notation to standard form:

9.647 x 10^7

We need to move the decimal point exactly the same quantity of positions to the right, because it's a positive exponent, than the exponent.

In this particular case the exponent is 7, therefore:

96,470,000 is the standard form. The decimal point was after the 9 and moved seven positions to the right.

Answer:

96,470,000 is the standard form

hope this helps

Step-by-step explanation:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

g(x)= 1/4 |x-2| + 1

Step-by-step explanation:

line:

points on same line:

slope based on the points

And the line is moved to the right by 2 units:

So the function becomes:

Considering movement up by 1 unit as well:

This is the final of equation for the line.

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

1/6(0.16), 3/14(0.21), 2/7(0.28), 1/3(0.33)

Step-by-step explanation:

Your answer should be: \(\frac{1}{6} < \frac{3}{14} < \frac{2}{7} < \frac{1}{3}\)

Otherwise known as \(\frac{1}{6}, \frac{3}{14}, \frac{2}{7}, \frac{1}{3}\)

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

Hope this helps!

Have a great day and God bless! :)

Answer:

469

Step-by-step explanation:

1. use the formula:

\(a_n=a_1+d*(n-1);\)

where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.

2. according the formula above:

\(a_{59}=5+8*(59-1)=5+464=469.\)

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

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Josh spends \(\frac{3}{2}$\) hours, or 1.5 hours, per week lifting weights at the gym.

A week is a period of time that consists of seven days. The days that make up a week are typically named Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.

The concept of a week has been used for thousands of years, and its origin is believed to be linked to the cycles of the moon. The seven-day week has been widely used and adopted by many cultures and religions around the world.

Josh exercises at the gym for \(\frac{15}{4}$\) hours a week. He spends \(\frac{2}{5}$\) of that time lifting weights.

To find how many hours a week Josh spends lifting weights at the gym, we can multiply the total time he spends at the gym by the fraction of time he spends lifting weights:

\($\begin{align*}\frac{15}{4} \cdot \frac{2}{5} &= \frac{15 \cdot 2}{4 \cdot 5} \&= \frac{30}{20} \&= \frac{3}{2}\end{align*}$\)

Therefore, Josh spends \(\frac{3}{2}$\) hours, or 1.5 hours, per week lifting weights at the gym.

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As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2]  by using preimage theorem.

Let F be the Stiefel manifold of orthonormal 2-frames in Rn to apply the preimage theorem. The collection of all tangent vectors to curves passing through [v1, v2] in F is what is known as the tangent space T[F] at a location [v1, v2]. Let (t) be a straight line in F such that (v1, v2) is a smooth curve. The tangent vector to t at time t = 0 is then given by

γ′(0) = [u, w] ∈ T[F].

We must now determine the requirements that [u, w] must meet in order to be in T[F]. Assume that V is a matrix with columns named v1 and v2. If Q is an orthogonal matrix, then any orthonormal 2-frame [v1′, v2′] in Rn can be represented as VQ. The category to which [v1′, v2′] belong Q is a 2 by 2 matrix with determinant 1, and F is equivalent to Q. Given that Q(0) = I, let Q(t) be a smooth curve in SO(2). Then, there is

γ(t) = VQ(t) (t),

and

γ′(0) = VQ′(0) (0).

We have Q since Q(t) is orthogonal (t)

TQ(t) = I, indicating

Q′(0)T + Q′(0) = 0.

Let [u, w] T[F] now. Once this is the case, a smooth curve Q(t) in SO(2) exists with Q(0) = I and

[u, w] = VQ′(0) (0).

Applying the equation above, we obtain

v1uv2w plus v1wv2u equals 0.

As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2].

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Answer:

Step-by-step explanation:

The triangle ACB is isosceles as AC = BC

CQ is the perpendicular bisector of angle C.

The first two choices are true.

Lets verify the third one:

m∠QCB = 4*15 - 8 = 52° ≠ 26°

This is false

Answer:

True, true, and then false.

Step-by-step explanation:

For the first one, line CQ does bisect angle ACB. Bisect means to cut in half or split directly down the middle.

For the second one, CQ is perpendicular. You know when an angle is perpendicular by the 90° right angle (or small square in the corner).

Finally, the last problem you just have to simplify and add up all the angles in one half of the triangle. If you do add them up, angle QCB is not 26°.

I hoped this helped you! :D *I AM ALWAYS WILLING TO HELP YOU WITH OTHER PROBLEMS!

With warm regards,

Philip

The scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

To find the scale factor of a prism to another prism, you need to compare the corresponding dimensions of the two prisms. For example, if you have a rectangular prism with dimensions of 4 cm x 3 cm x 5 cm and another rectangular prism with dimensions of 8 cm x 6 cm x 10 cm, you can compare the lengths, widths, and heights to find the scale factor.
To do this, you can divide the corresponding dimensions of the larger prism by the corresponding dimensions of the smaller prism. In this example, the scale factor would be:
Length: 8 cm ÷ 4 cm = 2
Width: 6 cm ÷ 3 cm = 2
Height: 10 cm ÷ 5 cm = 2
Therefore, the scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

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Answer:

Dang bro that mom gotta chill

Step-by-step explanation:

Answer:If you answered YES to these questions, then this is the article for you! ... Awaken your inner bartender by adding different garnishes to this cocktail! Fill up a cup halfway with ice; 1.5 ounces of gin; Top it off with seltzer ... Ginger ale can be used, but be careful not to make the drink too sweet. Campari soda

Step-by-step explanation:

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

Option 4: -6.1 - (-3.13)

Step-by-step explanation:

Let's solve each option individually to see if  -2.97 fits as the solution:

-6.1 - 3.13 = -9.23

-6.1 - (-31.3) = 25.2

-0.61 - (-3.13) = 2.52

-6.1 - (-3.13) =  -2.97

As you can see, -2.97 is the answer to Option 4.

So, the decimal -2.97 is the solution to the subtraction problem in Option 4.

Answer:

Its D

Step-by-step explanation:

Got it right brother

We need the graphs please

Answer:

B

Step-by-step explanation:

I could be wrong but i think its B

The length of arc RS on circle X is 17.99 centimeters.

To find the length of arc RS on circle X, we need to calculate the circumference of the entire circle and then determine what portion of the circumference is represented by the central angle of 110 degrees.

The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius of circle X is 9 centimeters, so the circumference is C = 2π(9) = 18π centimeters.

To find the length of arc RS, we need to determine what fraction of the entire circumference is represented by the central angle of 110 degrees. A full circle has 360 degrees, so the fraction of the circumference represented by the central angle is 110/360.

To find the length of arc RS, we multiply the fraction of the circumference by the total circumference of the circle. Therefore, the length of arc RS is (110/360) * 18π.

Simplifying the expression, we have (110/360) * 18π = (11/36) * 18π.

Canceling out the common factors, (11/36) * 18π = (11/2)π.

Now, we can approximate the value of π as 3.14. Therefore, the length of arc RS is (11/2) * 3.14.

Calculating the approximate value, we have (11/2) * 3.14 ≈ 17.99 centimeters.

Therefore, the approximate length of arc RS on circle X is approximately 17.99 centimeters.

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Answer:

13+34=47

Step-by-step explanation:

Let us call the number x

13+x=47

so we can assume

47-13=x

47=13=34

13+34=47

Answer:

14.75

Step-by-step explanation:

x = 1*1*0.5 = 0.5

y = 1.5*1.5 = 2.25

g = ((2.5+1.5)\2) * 2 = 4

t = 4*2 = 8

total = 0.5 +2.25 +4 +8  - 14.75

The results of the ANOVA test may not be reliable.

The conditions that must be met for the results of an ANOVA test to be reliable are that the observations must be independent of each other and randomly selected from their populations (A). Additionally, the variances for each population must be approximately equal to each other (B). This can be tested with the F-test, which is calculated by dividing the variance of the sample means by the variance of the individual observations. This test is used to determine if the variability between the groups is greater than the variability within the groups. If the F-test returns a value greater than 1, then the variances are not equal and the results of the ANOVA test may not be reliable. Lastly, the populations from which each group is drawn must be approximately Normal (C). This can be tested with a Shapiro-Wilk test or a visual inspection of a histogram or qqplot. If the populations are not normally distributed, then the results of the ANOVA test may not be reliable. The hypothesized means of the populations from which each group is drawn must be approximately equal (D). This can be tested with a t-test or a confidence interval. If the means are significantly different, then the results of the ANOVA test may not be reliable.

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Answer: $14.27 per CD before tax

Step-by-step explanation:

0.60 times 6= 3.60

88.20 subtracted by 3.60 = 85.60

85.60/6 = 14.2666667

9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the segments proportionally. This means they satisfy ...

  bottom segment / side segment = x/6 = (6-x)/4

Multiplying by 12 gives ...

  2x = 3(6 -x)

  2x = 18 -3x . . . . . eliminate parentheses

  5x = 18 . . . . . . . . add 3x

  x = 3.6 . . . . . . . . . divide by 5

_____

Alternate solution

I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.

Binomial expansion is used to factor expressions that can be expressed as the power of the sum of two numbers.

The proof that (1.01)^12 exceeds (1.02)^6 by 0.0007 is\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The expressions are given as:

\(\mathbf{(1.01)^{12}\ and\ (1.02)^6}\)

A binomial expression is represented as:

\(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

Express 1.01 as 1 + 0.01

So, we have:

\(\mathbf{(1.01)^{12} = (1 + 0.01)^{12}}\)

Apply the above formula

\(\mathbf{(1.01)^{12} = ^{12}C_0 \times 1^{12 - 0} \times 0.01^0 + ......... .......... + ^{12}C_{12} \times 1^{12 - 12} \times 0.01^{12} }}\)

\(\mathbf{(1.01)^{12} = 1 \times 1 \times 1 + ......... .......... + 1 \times 1 \times 10^{-24} }}\)

\(\mathbf{(1.01)^{12} = 1 + ......... .......... + 10^{-24} }}\)

This gives

\(\mathbf{(1.01)^{12} = 1.1268\ (approximated)}\)

Similarly,

Express 1.02 as 1 + 0.02

So, we have:

\(\mathbf{(1.02)^6 = (1 + 0.02)^6}\)

Apply \(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

\(\mathbf{(1.02)^6 = ^6C_0 \times 1^{6 - 0} \times 0.02^0 + ^6C_1 \times 1^{6 - 1} \times 0.02^1 +.............. + ^6C_6 \times 1^{6 - 6} \times 0.02^6 }\)\(\mathbf{(1.02)^6 = 1 \times 1 \times 1 + 6 \times 1 \times 0.02 +.............. + 1 \times 1 \times 6.4 \times 10^{-11} }\)

\(\mathbf{(1.02)^6 = 1 + 0.12 +.............. + 6.4 \times 10^{-11} }\)

This gives

\(\mathbf{(1.02)^6 = 1.1261\ (approximated) }\)

Calculate the difference as follows:

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 1.1268 - 1.1261 }\)

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The above equation means that:

(1.01)^12 exceed the value of (1.02)^6 by 0.0007

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Answer:

Step-by-step explanation:

Given

Equation we need is

Answer:

-20, -13, -3 0, 19

Step-by-step explanation:

With negative the higher the number the lower the value

Answer: It will be A that is the best answers