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3 years ago

Janes jogging speed is 5 kilometers per hour. What is her speed in meters per second?

Mathematics

2 answers:

Mama L [17]3 years ago

5 0

5*5/18
25/18
= 1.38 mps

bagirrra123 [75]3 years ago

4 0

Answer:

1.3888888888889 mps

Step-by-step explanation:

1 kph = 0.27777777777778 mps, so just multiply that by 5.

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Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

Step-by-step explanation:

Given two points are:

$(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)$

Slope intercept form of line is given as:

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Putting the values

$m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}$

Putting the value of slope in slope-intercept form we get

$y = \frac{1}{2}x+b$

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

$4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2$

Putting the value of b

$y = \frac{1}{2}x-2$

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

4 0

3 years ago

In a study of brand recognition, 795 consumers knew of Amazon, and 10 did not. Use these results to estimate the probability tha

Rzqust [24]

Answer:

The probability that a randomly selected consumer will recognize Amazon is 0.988.

Step-by-step explanation:

The data given in the question is

Total number of consumers = 795 + 10 = 805

Consumers who knew of Amazon = 795

Consumers who did not know of Amazon = 10

The formula for calculating probability of an event A is:

P(A) = No. of favourable outcomes/Total no. of possible outcomes

P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers

P(Recognize Amazon) = 795/805

= 0.98757

P(Recognize Amazon) ≅ 0.988

The probability that a randomly selected consumer will recognize Amazon is 0.988.

7 0

3 years ago

Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th

aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

$\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}$

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

$\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}$

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0

3 years ago

Will get Brainliest plz help

ladessa [460]

Answer: B

Step-by-step explanation:

An equation is y=mx+b for regular equation stander form. C would automatically be eliminated that leaves you with A and B... a you don't have a y intercept so you would start at zero.

You have to pay an entrance fee plus any other souvenirs you would want. so the entrance fee would be the y intercept in "B"

5 0

2 years ago

Read 2 more answers