interpret the slope value in a sentence by filling in the blanks in the sentence below. the ___i____ is changing by ____ii_____ ___iii____ per __iv___.

Answer:

I think the answer is $15,015

Step-by-step explanation:

Hope this helps.

Answer:

reciprocals

Step-by-step explanation:

HAVE A GOOD DAY AND BE SAFE WIT THIS RONA

It is not wise to use the correlation coefficient r to summarize the association between this new pair of variables, without first examining the data and considering the context of the problem.

The correlation coefficient r measures the strength and direction of the linear relationship between two variables. However, it assumes that the relationship between the variables is linear, and that there are no outliers or influential points that could affect the results.

If the relationship between the variables is not linear or there are outliers, then the correlation coefficient r may not accurately summarize the association between the variables. In this case, it would be more appropriate to use other measures, such as nonparametric correlation coefficients or regression analysis.

Therefore, before using the correlation coefficient r, it is important to carefully examine the data and consider any potential issues that could affect the results. Only then can we determine whether the correlation coefficient r is an appropriate measure for summarizing the association between the variables.

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Answer:

The first one.

I don't think there is anything else.

Step-by-step explanation:

"The first one" meaning

1/12    is the probability that the sum of the two faces adds to 5 .

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                             Statistics describes the examination of events subject to probability.

It is because there are total of 3 pairs possible where addition of number face adds to 4.

The pairs are (2,2), (1,3), (3,1).

The total outcomes possible(sample space) is 36.

Hence probability is 3/36, that is, 1/12

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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A pictorial representation or a diagram that represents data or values in an organized manner. For function f(x)=-x+3, -3≤x≤3 the graph is in attachment.

A pictorial representation or a diagram that represents data or values in an organized manner.

Given f(x)=-x+3, -3≤x≤3

It means x values lies from -3 to 3

x        -3         -2      -1      0     1       2      3

f(x)      6         5       4       3     2      1       0

By taking the table values we can draw a graph.

Therefore the attached graph is the graph for f(x)=-x+3.-3≤x≤3.

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The equation of g(x) include the following: D. g(x) = 4x² + 2

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) - N

In this context, we can logically deduce that the parent function f(x) = x² was translated 2 units up and vertically stretched by 4 units in order to produce the graph of the image g(x), we have:

g(x) = 4f(x) + 2

g(x) = 4x² + 2

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Answer:

Step-by-step explanation:

Can you like put the equation together it looks highly confusing

The solution for the given equation is 15.

The given equation is 2 = -7/4 + 1/4 x.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 2 = (-7+x)/4

2×4 = -7+x

8 = -7+x

x = 8+7

x = 15

Therefore, the solution for the given equation is 15.

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Answer:  -512

Step-by-step explanation:

(18-26) = -8

(-8)^3 = (-8)*(-8)*(-8) = -512

Answer:

Its below

Step-by-step explanation:

1. 2000

2. 233

The train will take 3hour 7.5min to travel a distance of 250 km

Given that,

Distance of 250 km with a speed of 80 kmh

To find: Time taken by train to travel a distance of 250 km with a speed of 80 kmh

Distance = 250km

Speed of the train =80km/h

Speed is calculated as distance times speed. You need to be aware of the units for distance and time in order to calculate the units for speed. The units in this example will be metres per second (m/s), since the distance is measured in metres (m) and the time is measured in seconds (s).

Time = Distance /speed

=250km /80km/h

=25/8 h

= 3⅛h

= 3hour ⅛*60

= 3hour 7.5min.

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Answer:

3 hours 7.5 mim

Step-by-step explanation:

The train will take 3hour 7.5min to travel a distance of 250 km

Given that,

Distance of 250 km with a speed of 80 kmh

To find: Time taken by train to travel a distance of 250 km with a speed of 80 kmh

Distance = 250km

Speed of the train =80km/h

Speed is calculated as distance times speed. You need to be aware of the units for distance and time in order to calculate the units for speed. The units in this example will be metres per second (m/s), since the distance is measured in metres (m) and the time is measured in seconds (s).

Time = Distance /speed

=250km /80km/h

=25/8 h

= 3⅛h

= 3hour ⅛*60

= 3hour 7.5min.

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Answer:

Fraction: x= 4/5

Decimal: x= 0.8

Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-10=0

Add 10 to each side

5x-10+10=0+10

5x = 10

Divide by 5

5x/5 = 10/5

x = 2

Answer:

y = - \(\frac{1}{3}\) x + \(\frac{8}{3}\)

Step-by-step explanation:

the perpendicular bisector of AB passes through the midpoint of AB at right angles.

find the midpoint using the midpoint formula

with A (- 2, 0 ) and B (0, 6 )

midpoint = ( \(\frac{-2+0}{2}\) , \(\frac{0+6}{2}\) ) = ( \(\frac{-2}{2}\) , \(\frac{6}{2}\) ) = (- 1, 3 )

find the gradient m of AB using the gradient formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (- 2, 0 ) and (x₂, y₂ ) = B (0, 6 )

m = \(\frac{6-0}{0-(-2)}\) = \(\frac{6}{0+2}\) = \(\frac{6}{2}\) = 3

given a line with gradient m then the gradient of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\)

the equation of a line in gradient- slope form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = - \(\frac{1}{3}\) , then

y = - \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 1, 3 ) into the partial equation

3 = \(\frac{1}{3}\) + c ⇒ c = 3 - \(\frac{1}{3}\) = \(\frac{8}{3}\)

y = - \(\frac{1}{3}\) x + \(\frac{8}{3}\) ← equation of perpendicular bisector

Answer:

240000000

Step-by-step explanation:

2.4x100000000=240000000

It takes Sandra 6.44 hour to word process 29 pages.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

It takes Sandra 1 hour to word process 4.5 pages.

Now,

Since, It takes Sandra 1 hour to word process 4.5 pages.

Hence, The time to make 29 pages = 29/4.5

                                                        = 290/45

                                                        = 58/9 hours

Thus, It takes 6.44 hours to complete 29 pages.

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La altura del mástil es de aproximadamente 20.87 metros.

Para resolver el problema, se puede utilizar la ley de cosenos para encontrar la longitud del mástil:

c² = a² + b² - 2ab cos C

Donde:

c es la longitud del mástil (lo que se busca)

a es la longitud de la parte delantera del barco (25m)

b es la longitud de la parte trasera del barco (también 25m)

C es el ángulo entre a y b, que se puede calcular utilizando la tangente: tan C = 1.5 (pues tan 60° = √3, y tan 45° = 1)

Resolviendo para c:

c² = 25² + 25² - 2(25)(25)cos(arctan 1.5)

c = √(25² + 25² - 2(25)(25)(1/√(1+(1.5)²)))

c ≈ 31.08 m

Por lo tanto, la altura del mástil es de aproximadamente 31.08 metros.

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Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Answer: 16 degrees

Step-by-step explanation:

The percentage increase of a given quantity from 20 to 40 is 100%.

Original quantity = 20

New quantity = 40

In order to calculate the percentage increase, one had to subtract the original quantity from the new quantity and then divide the value by the original quantity. This will be:

= (New quantity - Original quantity) / Original quantity × 100

= (40 - 20) / 20 × 100

= 20/20 × 100

= 1 × 100

= 100%

Therefore, the percentage increase of the quantity from 20 to 40 is 100%.

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Answer:

x° = 75

(x + 30)° = 105°

Step-by-step explanation:

supplementary angle is two angles that sum is 180°

x° + (x + 30)° = 180°

2x + 30 = 180°

2x + 30 - 30 = 180 - 30

2x = 150

2x / 2 = 150 / 2

x° = 75

plug in 75,

75 + 30 = 105

check: 75 + 105 = 180

Answer: 75 degrees

Step-by-step explanation:

Do you see how both sides of the angle come together to form the straight line seen at the bottom? This means that these are supplementary angles.

Supplementary Angles: Both sides have to add up to a total of 180 degrees.

With this, form an equation: x+(x+30)= 180

Get rid of the parenthesis:

x+x+30= 180

Combine like terms.

2x+30= 180

2x= 180-30

2x= 150

x= 150÷2

x= 75

Checks:

x+x+30= 180

75+75+30= 180

You can also check using the equation in its simplified form: 2x+30= 180.

2x+30=180

2(75)+30=180

150+30=180

Hence x=75

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

x= 2/3, -2/3

Step-by-step explanation:

9x² = 4

To solve this quadratic, divide each side by 9

x^2 = 4/9

Take the square root of each side

sqrt(x^2) = sqrt(4/9)

x = ±2/3

Answer:

x = ± \(\frac{2}{3}\)

Step-by-step explanation:

9x² = 4 ( divide both sides by 9 )

x² = \(\frac{4}{9}\) ( take square root of both sides )

x = ± \(\sqrt{\frac{4}{9} }\) = ± \(\frac{\sqrt{4} }{\sqrt{9} }\) = ± \(\frac{2}{3}\)

x = - \(\frac{2}{3}\) , x = \(\frac{2}{3}\)

Answer:

12 feet.

Step-by-step explanation:

1 inch = 4 feet.

Multiply 3 by 4.

3×4=12

I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.

Hope this helps!

Answer:

6.7082039325

Step-by-step explanation:

Answer:

Somewhere between 6.7

Step-by-step explanation:

Sub to my channel.

christmas premiere tomorrow.

Answer:

S = -90t + 550

Step-by-step explanation:

First we must note a few key things the question tells us:

1. The tickets sell at a constant rate, thus implying a linear relationship.

2. Tickets start selling at 10

3. The independent variable (t) is in hours after 10

4. The number of tickets (S) is declining, thus we should expect a negative gradient.

5. The number of tickets is our dependent variable since it is reliant on time.

y = mx+c is our general linear expression which we will call "Eq 0"

Lets substitute our knowns into this to find m and c. We know that "t" is independent and that "S" is dependent on "t" therefore, we know that our x-axis will be representing values for "t" and that our y-axis will represent values for "S"

We must use simultaneous equations to find m and c

Eq 1: 550 = m(0) + c -> 550 = c

Eq 2: 280 = m(3) + c -> 280 = 3m + c

From Eq 1. we already know that our y intercept is at 550.

To find our gradient, we must substitute our known (550 being the y-intercept) into the next equation.

Thus,

280 = 3m + 550

To isolate our variable (m) we subtract both sides by 550

280 - 550 = 3m + 550 - 550

-270 = 3m

To finally find m, we divide both sides by 3

-270/3 = 3m/3

-90 = m

Now we substitue both our knows into Eq 0, note that our gradient (m) is negative as expected.

y = -90x + 550

Or, in terms of S and t

S = -90t + 550

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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