What is the quotient for 81/-9, -123 divided by -4, -94/-9, and 65 divided by (-5)

Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

Answer:

3y(4y - 1)²

General Formulas and Concepts:

Alg I

Step-by-step explanation:

Step 1: Define expression

48y³ - 24y² + 3y

Step 2: Simplify

Answer:

Let x be the distance traveled by you to the north and y be the distance traveled by your friend to the west. Let d be the distance between you and your friend at time t. Then, we have:

d^2 = x^2 + y^2

Taking the derivative of both sides with respect to time, we get:

2d (dd/dt) = 2x(dx/dt) + 2y(dy/dt)

Simplifying this expression, we get:

dd/dt = (x(dx/dt) + y(dy/dt)) / d

Since you are driving north at a constant speed v and your friend is driving west at a constant speed w, we have:

dx/dt = v and dy/dt = -w

Substituting these values and simplifying, we get:

dd/dt = (v^2 + w^2)^0.5

Therefore, the speed of separation between you and your friend at time t is the square root of the sum of the squares of your speeds.

To find the second derivative of the distance between you and your friend, we take the derivative of dd/dt with respect to time:

d^2d/dt^2 = (v dv/dt + w dw/dt) / (v^2 + w^2)^0.5

Since v and w are constant, their derivatives with respect to time are zero, so the second derivative of the distance between you and your friend is zero.

Suppose you wait for an hour (i.e., t = 1 hour) before driving off to the north. Then, at time t > 1 hour, the distance between you and your friend is given by:

d = (vt)^2 + ((t-1)w)^2)^0.5

Taking the derivative of both sides with respect to time, we get:

dd/dt = 2v^2t / (2((vt)^2 + ((t-1)w)^2)^0.5)

Simplifying this expression, we get:

dd/dt = v / ((v^2 + ((t-1)w)^2)^0.5)

Therefore, the speed of separation between you and your friend at time t (greater than one hour) is given by v divided by the square root of the sum of the squares of your speed and your friend's speed.

The second derivative of the distance between you and your friend is given by:

d^2d/dt^2 = -vw(t-1) / ((v^2 + ((t-1)w)^2)^1.5)

The scatter plot that best represents the data is scatter plot A.

A scatter plot is a graphical representation that shows two data variables and the ways in which they are related to each other. In the table, we see the months and the average montly precipitations.

The data for these two variables are represented on the first scatter plot that shows the relationships between the points. We also observe a negative correlation between the variables in the graph.

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Answer:

Proofs for Pythagoras Theorem usually use visual/geometry approaches. I don't post pictures in my answers, so I will present a linear algebra approach. You can see it in the blog posted by Professor Terence Tao.

Note that there are several elegant proofs using animations and drawings, but this is just personal.

I've seen this some time ago, it is really interesting proof.

It states that \(a^2+b^2=c^2\) is equivalent to the statement that the matrices

\(%\begin{pmatrix}a & b \\ -b & a%\end{pmatrix}%\)    \(\begin{pmatrix}a& b \\-b & a\\\end{pmatrix}\) and \(\begin{pmatrix}c & 0\\0 & c \\\end{pmatrix}\) have the same determinant.

The determinant of the first matrix is \(a^2+b^2\)

The determinant of the second matrix is \(c^2\)

Once the linear transformations associated with these matrices differ by rotation, we claim that

\(a^2+b^2=c^2\)

9514 1404 393

Answer:

  x = 22, y = 123

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (2x +13)° +57° +3x° = 180°

  5x +70 = 180 . . . . . . . . . . . . . collect terms, divde by °

  5x = 110 . . . . . . . . . . . subtract 70

  x = 22 . . . . . . . . divide by 5

__

Angles in a linear pair are supplementary.

  y° + 57° = 180°

  y = 123 . . . . . . . . divide by °, subtract 57

The equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

We can use the point-slope version of the equation, which is: to determine the equation of a line passing through two specified points.

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Use the points (1,6) and (2,7) to find the equation of the line:

Using (x₁, y₁) = (1,6):

y - 6 = m(x - 1)

Now, substitute the coordinates (2,7) into the equation:

7 - 6 = m(2 - 1)

1 = m

So, the slope of the line is m = 1.

Substitute this value into the equation:

y - 6 = 1(x - 1)

y - 6 = x - 1

y = x + 5

Therefore, the equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

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Answer:

Step-by-step explanation:

3x-11  = x+9

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

Answer:

x=9.64385618

Step-by-step explanation:

I used an app to solve it

Answer:

here are 117,600 ways the runners can finish first, second, and third in the race.

Step-by-step explanation:

The number of ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations. In this case, we are interested in selecting 3 runners from a group of 50.

The number of ways to choose the first-place finisher is 50 because any of the 50 runners can finish first. After one runner is selected for the first place, there are 49 remaining runners.

For the second-place finisher, there are 49 remaining runners to choose from since one runner has already been selected for the first place. Thus, the number of ways to choose the second-place finisher is 49.

Similarly, for the third-place finisher, there are 48 remaining runners to choose from since two runners have already been selected for the first and second places. Hence, the number of ways to choose the third-place finisher is 48.

To determine the total number of ways the runners can finish in first, second, and third places, we multiply the number of choices for each position: 50 * 49 * 48 = 117,600.

Therefore, there are 117,600 ways the runners can finish first, second, and third in the race.

Answer:

The next number would be 3

Step-by-step explanation:

As you can see its a repeating pattern of "1739"

Answer:

3

Step-by-step explanation:

1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...

Answer:

30% of the fish are sharks

Step-by-step explanation:

18/60 = 0.3

0.3 * 100 = 30%

Answer: 30 per cent

Step-by-step explanation: 18 ·100 % /60 =30%

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Using the principle of Trigonometry, the ratio and approximated values are :

Using the concept of SOHCAHTOA:

opposite side = 40

Adjacent side = 9

hypotenus= 41

SinM = opposite/ hypotenuse

Hence,

sinM = 40/41 or 0.9756

TanM = opposite/ Adjacent

Hence,

TanM = 40/9 or 4.444

CosM = Adjacent/ hypotenuse

Hence,

CosM = 9/41 or 0.2195

Therefore, the required values are :

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Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

Step-by-step explanation:

With of them?

(a)  There are 7 numbers in her sample.

(b) There are 4 numbers in his sample.

(c) Charmaine's sample is more likely to give a good estimate of the mean.

Sample size refers to the number of observations or individuals in a sample taken from a larger population. In statistics, a sample is typically selected from a population of interest, and the sample size is a key factor in determining the precision and accuracy of statistical estimates and inferences.

Part (a)

The sample size for Charmaine's sample is 7, since there are 7 numbers in her sample.

Part (b)

The sample size for Sam's sample is 4, since there are 4 numbers in his sample.

Part (c)

It is generally true that larger sample sizes provide better estimates of the population mean, all else being equal. Therefore, Charmaine's sample is more likely to give a good estimate of the mean, since it has a larger sample size than Sam's sample.

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Using the t-distribution, the 96% confidence interval for the average number of hours of sleep for  students is between 6.057 and 6.943 hours.

The calculation for the confidence interval is:

the sample mean

t is the critical value

s  the sample standard deviation

n is the sample size

Ptting  the given values, we have:

6.5 ± 2.081  x (2.14/sqrt(101))  

Which simplifies to

6.5 ±  2.081 x  (0.2129)

So, the 96% confidence interval for the average number of hours of sleep for working college students is between

6.5 - (0.4431) = 6.057

6.5 + (0.4431) = 6.943

The 96% confidence interval for the average number of hours of sleep for working college students is between6.057 and 6.943 hours.

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Answer:

u = 135

hoped i helped u

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.65 is 10 times as much as 0.065

and it is 1/10 of 6.5

Answer:

to me I think its c but I don't know if I'm right or wrong and I'm sorry if im wrong and I hope I help you

Answer:

<A =73

Step-by-step explanation:

The sum of the angles of a triangle are 180

<C is 90

<B is 17

We need to find <A

<A + < B + <C = 180

<A + 17+90 = 180

<A + 107 =180

<A = 180-107

<A =73

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer: 37.68

Step-by-step explanation:

Since the diameter is 12 inches, you have to multiply it by pi (π) for the final answer, the circumference aka the whole thing

So:

C=πd

(12)(3.14)

=37.68

Answer: the decreases is 4% over 2% and the increase is thx for the points

Step-by-step explanation:

The 19th term of a geometric sequence is 1048576.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

a = 4 and r = 2

The nth term of a geometric sequence.

= a\(r^{n-1}\)

Now,

The 19th term of a geometric sequence.

= a\(r^{n-1}\)

Substituting a and r values.

= 4 x \(2^{19 - 1}\)

= 4  x \(2^{18}\)

= 4 x 262144

= 1048576

Thus,

The 19th term of a geometric sequence is 1048576.

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