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2 years ago

What is the speed of a walker who travels 500m in 192s?

Mathematics

2 answers:

zhuklara [117]2 years ago

8 0

Answer:

9.375 km/h

Step-by-step explanation:

192 - 3 minutes 12 seconds

500m - 0,5 kilometers

60 x 60 = 3600

3600:192=18.75

500 x 18.75 = 9375

9375 meters - 9.375 kilometers

AveGali [126]2 years ago

5 0

Answer:

2.6m/s

Step-by-step explanation:

$s = d \div t \\ \: = 500 \div192 \\ = 2.6ms \\$

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Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The latus rectum is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints:

By (2):

$F(x,y) = (2, -2-5)$

$F(x,y) = (2,-7)$

By (1):

$(x-2)^{2} = -20\cdot (-7+2)$

$(x-2)^{2} = 100$

$x - 2 = \pm 10$

There are two solutions:

$x_{1} = 2 + 10$

$x_{1} = 12$

$x_{2} = 2-10$

$x_{2} = -8$

Hence, the endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

4 0

2 years ago

Help me with this math question please I'm giving away brainliests

m_a_m_a [10]

Horizontal- y=-1/2
vertical- x=5
x intercepts- (-2,0)
y intercepts- none
hole- (0, 1/5)

6 0

2 years ago

What is the range

Elena-2011 [213]

C I believe the -2 part that was the one just looked it up on google XD hope it helped

7 0

3 years ago

Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points)

alexgriva [62]

Answer:

10x + 5

Step-by-step explanation:

x = some number

10x = 10 multiplied by 'x'

10x+5 = five more than 10 multiplied by some number

4 0

2 years ago

Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation amon

Natali [406]

The value of the correlation is -0.0721 and it is a weak negative correlation

<h3>How to determine the correlation coefficient?</h3>

The points are given as:

(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)

Enter the above points in a graphing calculator.

From the graphing calculator, we have the following summary:

X Values

Sum X = 90
Mean = 18
∑(X - Mx)^2 = SSx = 90

Y Values

Sum Y = 156
Mean = 31.2
∑(Y - My)^2 = SSy = 692.8

X and Y Combined

N = 5
∑(X - Mx)(Y - My) = -18

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

This gives

r = -18 / √((90)(692.8)) = -0.0721

So, the correlation coefficient is -0.0721

The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1

Hence, the correlation is a weak negative correlation

Read more about correlation coefficient at:

brainly.com/question/27226153

#SPJ1

7 0

2 years ago