Find the average speed in Km/h at a car that travels 90km in 3hours (15mins.​

Answer:

im pretty sure its the first

Step-by-step explanation:

9514 1404 393

Answer:

  B.  3

Step-by-step explanation:

If all you want is a numerical result, sometimes a graphing calculator can provide that easily. The attachment shows it calculates the slope at x=4 to be 3.

  dy/dx = 3 at x = 4

__

The derivative of the expression can be found from the quotient formula:

  d(u/v) = (du·v -u·dv)/v²

  y' = ((x -2)(2x -7) -(x^2 -7x +2)(1))/(x -2)^2

  = (2x^2 -11x +14 -x^2 +7x -2)/(x -2)^2

  = (x^2 -4x +12)/(x -2)^2

  = ((x -4)x +12)/(x -2)^2

Then for x=4, we have ...

  y' = 12/4 = 3

  dy/dx = 3 at x = 4

Answer:

The answer is B:3

Step-by-step explanation:

I saw this in class

Answer:

-12

Step-by-step explanation:

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

49

Step-by-step explanation:

Convert the dot plot into numbers

40, 40, 40, 45, 45, 50, 55, 55, 60, 60

Add all together

40+40+40+45+45+50+55+55+60+60 =490

Divide by amount of numbers there are

Amount of numbers = 10 --> 490/10 = 49

Mean = 49

The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is  y = -7/5(x) -53/5

Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)

The slope-intercept form of a straight line is:

y = mx + c

where m is the slope and c is the y-intercept

For perpendicular case:

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₁ x m₂ = -1

-7/5 x m₂ = -1

m₂= 5/7

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = 5/7 (-4) + c

-5 = -20/7 + c

c = -15/7

Thus, the equation of the line is y = 5/7(x) -15/7

For parallel case:

When the two lines are parallel, they have equal slope i.e. m₁ = m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₂= -7/5

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = -7/5(-4) + c

-5 = 28/5 + c

c = -53/5

Thus, equation of the line is y = -7/5(x) -53/5

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The first cellphone service provider to be established in South Africa was Vodacom. Vodacom was launched on April 1, 1994, and it became the country's first cellular network operator.

The company was a joint venture between Telkom, the national telecommunications company of South Africa, and Vodafone, a global telecommunications giant.

Vodacom introduced the GSM network to South Africa, providing mobile voice and data services to customers across the country. Its launch marked a significant milestone in the telecommunications industry in South Africa, as it brought mobile communication to the masses and revolutionized the way people connect and communicate.

Since its inception, Vodacom has played a pivotal role in the development of the telecommunications sector in South Africa. It has continually expanded its network coverage, introduced innovative services, and played an active role in bridging the digital divide in the country.

Today, Vodacom remains one of the leading mobile network operators in South Africa, providing a wide range of mobile services to millions of customers.

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The probable question may be:

Which cellphone service provider was the first to be established in south africa

Answer:

D

Step-by-step explanation:

Since the weighing scale is balanced,

weight of the right side= weight on the left side

7(1)= 3x +1

7= 3x +1

Minus 1 on both sides:

3x= 7 -1

3x= 6

Divide both sides by 3:

x= 6 ÷3

x= 2

Thus, option D is correct.

Answer:

p=4375.00

Step-by-step explanation:

P=A / ( 1 + rt)

Answer:

20,000

Step-by-step explanation:

1=$5,600,r=4%+=7years

I=prt

5600=p(0.28)

5600/0.28=p(0.28)/0.28

Principal 20,000

Answer:

Additive

Step-by-step explanation:

Answer:

no you need about 4.2 cups for a liter

Step-by-step explanation:

we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.

We are given an expression:

a³ - b³

The absolute value of the expression will be:

| a³ - b³ |

Now, we have a = 2 and b = - 3

So, substituting the values in the expression, we get that:

| a³ - b³ |

| ( 2 ) ³ - ( - 3 )³ |

| 8 - ( - 27 ) |

| 8 + 27 |

= | 35 |

= 35

Therefore, we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.

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Answer:

12

Step-by-step explanation:

3

9

(100−64)

=12

Answer:

b=64 96/149

Step-by-step explanation:

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

A. 8.0 inches

you will have to use the formula A= 2(LW + LH + WL)

Answer:

it would d the last one

Step-by-step explanation:

Answer:

\(k=\dfrac{m}{5}\)

Step-by-step explanation:

Let Kat reads k pages of the book.

Miguel reads 5 times as many pages of the book as Kat. So,

m = 5k ...(1)

Together they read 54 pages. i.e.

m+k = 54 ...(2)

From equation (1),

\(k=\dfrac{m}5{}\)

Hence, the equation that can be used to find how many pages Kat read is equal to \(\dfrac{m}{5}\).

Applying the sine rule the value of side w is calculated to be 6.2

The size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal

the formula is

Sin A / a = Sin B / b = Sin C / c

applying the formula for the problem

Sine W / w = Sine X / x

plugging in the values

Sine 38 / w = Sine 84 / 10

cross multiplying

w = 10 x Sin 38 / Sine 84

x = 6.185

x =  6.2 to the nearest tenth

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

a

63.75

I decided 85 by 2 to get what one Ince would be and then multiplied that number by 1.5

Answer: 7x=63 and 12x+9= 117

Step-by-step explanation:

add those two equations and set it to 180 degree

7x+12x+9=180

19x=171

x= 9

7x = 7 (9) = 63

12x+9 = 12 (9)+9 = 117

Answer:

3c=3x+6

Step-by-step explanation:

-2+3c=2x+6+x

-2+3c=3x+6      First combine the x on the right side.

-2+3c=3x+6

+2            +2    Add 2 to both sides to eliminate 2 on the left side.

3c=3x+6

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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Answer:

The answer is D

Answer:

2.Relationships

Step-by-step explanation:

Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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For the experiment of rolling a fair dice, each face has an equal probability of showing up.

Let 'p' be the probability of getiing a particular face.

So the probability of rolling any of the 6 face is 'p'.

Now, the sum of all probability should be unity,

Thus, the probability of any face is 1/6.

Hence, it concludes that the theoritical probability of rolling a 2 is equal to 1/6.

I just did this the answer is C. g(x) = –2(x – 5)2 + 9

The required function is \(g(x)=-2(x-5)^2+9\).

Important information:

We need to find the equation in vertex form for the function g.

The vertex form of a parabola is:

\(g(x)=a(x-h)^2+k\)         ...(i)

Where, \(a\) is a constant and \((h,k)\) is the vertex.

Substitute \(h=5,k=9\) in (i).

\(g(x)=a(x-5)^2+9\)          ...(ii)

Parabola passes through the point (3,1). So, substitute \(x=3,g(x)=1\) in (ii).

\(1=a(3-5)^2+9\)

\(1-9=a(-2)^2\)

\(-8=4a\)

\(-2=a\)

Substitute \(a=-2\) in (ii).

\(g(x)=-2(x-5)^2+9\)

Thus, the required function is \(g(x)=-2(x-5)^2+9\).

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