The radius of a circular play ground is 77m. Calculate the distance covered by a runner is 5 complete rounds around the ground. ( ans2420) how ?

By answering the presented question, we may conclude that As a result, the slope of \(y_3\) = -4(x - 5) is -4.

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x).

The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b.

The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).

The above equation is in point-slope form: y - \(y_1\)= m(x - \(x_1\)), where (\(x_1\), \(y_1\)) is a point on the line and m is the slope.

We can see by comparing the provided equation to the point-slope form that \(x_{1} ,y_1\)) = (5, 3) and m = -4.

As a result, the slope of \(y_3\) = -4(x - 5) is -4.

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Answer:

\(12x^7\)

Step-by-step explanation:

\(3x^2 \times 4x^5\)

\(3 \times x^2 \times 4 \times x^5\)

\(3 \times 4 \times x^{2+5}\)

\(12 \times x^7\)

Using it's formula, it is found that the relative frequency of people who strongly disagree with the statement is 22.7%.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence, the relative frequency is:

\(f = \frac{68}{300} = 0.227\)

0.227 x 100% = 22.7%.

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Answer:22.7

Step-by-step explanation:

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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Answer:

D' (-4, -1)

E' (-8, -5)

F' (-6, -7)

G' (-2, -3)

Step-by-step explanation:

To solve this each point would go under this:

(x, y) --> (-1(x + 6), y - 8)

the x + 6 and y - 8 are the transformation. The -1 multiplied by x represents the reflection over the y-axis

D --> D':

(-2, 3) --> (-4, -1)

E -- E':

(2, 3) --> (-8, 5)

F --> F':

(0, 1) --> (-6, -7)

G --> G':

(-4, 5) --> (-2, -3)

Check the picture below.

Answer:

25c

Step-by-step explanation:

For example , if there are 3 tanks (or n is 3), the total number of fish would be 25* 3 = 75 fish.

Answer:

12x+5y

Step-by-step explanation:

add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y

Answer:

Step-by-step explanation:

5x + 4y + 7x + y

Need to arrange all who have the same variable

=5x + 7x +4y + y

=12x+5y

Answer:

He should have canceled x

Answer:

(D) 56

Step-by-step explanation:

x/y = 2/7

x = 2/7 y

S = x + y

S = 2/7 y + y

S = 9/7 y

y is a multiple of 7, so S is a multiple of 9.

So S cannot be 56.

Answer:

x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.

I think this is the answer.

Answer:

490849.9

Step-by-step explanation:

Answer:

490849.92 centimeters

Answer:

A,M,V

Step-by-step explanation:

Answer:

input 1 output 1 ×7 =7

input 2 output 2 ×7 =14

input 3 output 3 ×7=21

input 4 output 4×7=28

Answers are 7, 14, 21 and 28

Answer:

4 shirts and 3 keychains

Step-by-step explanation:

1 shirt cost $30

So 4 shirts cost 4×30=$120

1 keychain cost $ 4.50

3 keychains cost 4.50×3=$13.50

Total =$120+$13.50=$133.50

Answer:

  4 shirts

Step-by-step explanation:

An equation can be written that relates the number of items bought and their cost. Let s represent the number of shirts bought. Then (7-s) is the number of keychains. The total cost was ...

  30s +4.50(7 -s) = 133.50 . . . . total cost of items bought

  25.50s +31.50 = 133.50 . . . . simplify

  25.50s = 102.00 . . . . . . . . . . subtract 31.50

  s = 102.00/25.50 = 4 . . . . divide by the coefficient of s

Barb bought 4 shirts.

_____

Additional comment

The other 3 items she bought were keychains.

We could write 2 equations using 2 variables:

If we solved this by substituting for k, we would have ...

  30s +4.50(7 -s) = 133.50 . . . . . the equation we used above

Answer:

Step-by-step explanation: 0.15 and 0.2 are the slope of the line on the graph. The graph of the equation reading y = 0.20x + 25 would show a steeper line bc the bigger the slope the steeper the line.

Answer:

19.2

Step-by-step explanation:

It's right on Acellus.

The required value of x nearest to tenth is 19.17

The longest side of the right angled triangle is called hypotenuse

By the Pythagoras theorem in the right angled triangle

h^2 = b^2 + p^2

where h = hypotenuse, b = base, p = perpendicular

Here we have given perpendicular p = 9

and an angle = 28°

Using sin for the given angle we have

sin 28° = \(\frac{perpendicular}{hypotenuse}\)

0.46947 = \(\frac{9}{x}\)

x = \(\frac{9}{0.46947}\)

x =  19.17

Hence the required length of the side hypotenuse = x = 19.17

This is the conclusion to the answer.

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Answer:

5

Step-by-step explanation:

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

The point (12,489) will be the solution of our given equations.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

number of men given by y=3.9x+441 ​,

and for​ women equation is ​y=14.3x+312,

Now, Let us find the coordinates of the point of intersection of both lines by equating our both equations as:

3.9x+ 441 = 14.3x + 312

14.3x - 3.9x = 441 - 312

10.4x= 129

x= 129/10.4

x = 12.40

and, y= 3.9(12.4)+ 441

y= 489.36

Hence, the point (12,489) will be the solution of our given equations.

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Answer:

Step-by-step explanation:

Given

Need to complete square on the left side of equation

The square should be in the form of:

We see a = x therefore

So the missing constant term is 9/64

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The area of the shaded part of the given figure is 60 square inches'

The given figure is made up of a rectangle and 2 similar triangles

Area of the shaded part = Area of rectangle + area of 2 triangles

From the figure

Area of rectangle = 12 * 4 = 48 square in

Area of one triangle = 0.5(6)(4) = 12 square in

Area  of the figure = 48 + 12

Area  of the figure = 60 square inches'

Hence the area of the shaded part is 60 square inches.

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Answer:

\( y = -\frac{4}{5}x + 2 \)

Step-by-step explanation:

Find slope (m) using two points (-5, 6) and (10, -6).

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-6 - 6}{10 - (-5)} = \frac{-12}{15} = -\frac{4}{5} \)

m = -⅘

To find y-intercept (b), substitute x = -5, y = 6, and m = ⅘ into y = mx + b

6 = (-⅘)(-5) + b

6 = 4 + b

6 - 4 = b (subtraction property of equality)

b = 2

To write the equation, substitute m = -⅘, and b = 2 into y = mx + b

The equation of the line would be:

✅\( y = -\frac{4}{5}x + 2 \)

The equation of a line that goes through the points (-5,6) and (10,-6 in slope-intercept form is \(y = -\frac 45x + 2\)

A linear equation is an equation that have a constant rate of change or slope

From the question, we have the following ordered pairs

(x,y) = (-5,6) and (10,-6)

So, the slope (m) is then calculated as:

\(m =\frac{y_2 -y_1}{x_2 -x_1}\)

This gives

\(m =\frac{-6 - 6}{10 + 5}\)

Evaluate the differences

\(m =-\frac{12}{15}\)

Reduce the fraction

\(m =-\frac{4}{5}\)

The equation is then calculated as:

\(y = m(x -x_1) + y_1\)

So, we have:

\(y = -\frac 45(x + 5) + 6\)

Open the bracket

\(y = -\frac 45x -4 + 6\)

Evaluate the difference

\(y = -\frac 45x + 2\)

Hence, the equation in slope-intercept form is \(y = -\frac 45x + 2\)

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Answer:

C

Step-by-step explanation: