What is the minimum value of the function y=|x+3|-2 ?

You and your friend live 12 miles apart. you leave home at the same time and travel ttoward eacth other.you walk at the rate of

mr Goodwill [35]

Step 1: Assign variable for the unknown that you need to find.

$d_w \; \rightarrow \; Distance \; you \; traveled \; by \; walk \; in \; miles \\ d_c \; \rightarrow \; Distance \; traveled \; by \; your \; friend \; using \; bicycle \; in \; miles \\ t \; \rightarrow \; Time \; Taken \; in \; hours$

Step 2: List the given details

Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours

Equation 1:

$d_w+d_c=12$

Your Walking rate and your friends Cycling rate is given below:

$r_w=4mph\\r_c=11mph$

Step 3: Set up an equation using the relationship between distance, time and rate.

$Distance=Rate \times Time$

$d_w=r_w \times t=4t \\\\ d_c = r_c \times t = 11t$

Substituting the above in equation 1

$4t+11t=12 \\ Combining \; Like \; Terms \\\\ 15t=12 \\ Dividing \; 15 \; on \; both \; sides \\\\ 15t \div 15=12 \div 15 \\\\ t=0.8 hours$

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

$d_w=4t=4(0.8)=3.2miles \\\\ d_c=11t=11(0.8)=8.8miles$

8 0

3 years ago

Tell me the answer and how u did it!

Elena L [17]

The answer is c. I just did the math it is hard to explain how I did it though. Hopefully this helps you! :)

7 0

3 years ago

Read 2 more answers

Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta

frutty [35]

Answer:

$x^2+(y-1)^2=1$

Step-by-step explanation:

The given cylindrical equation is

$r=2\sin \theta$

Multiply both sides by r.

$r^2=2r\sin \theta$ .... (1)

The required formulas are

$x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2$

Substitute $r\sin \theta =y,r^2=x^2+y^2$ in equation (1).

$x^2+y^2=2y$

$x^2+y^2-2y=0$

Add 1 on both sides.

$x^2+(y^2-2y+1)=1$

$(x-0)^2+(y-1)^2=1^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is $x^2+(y-1)^2=1$ .

3 0

3 years ago

Choose the equation that best represents the equation of the graph of f(x) = 3^x +4.

Alchen [17]

The answer would be D

4 0

3 years ago

A researcher was interested in utilities provided by city governments. The researcher randomly selected 20 counties from a list

DaniilM [7]

Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

The population of interest is all city governments in the U.S.
The population of interest is the 192 cities.
The population of interest is all city governments that provide utilities to their residents.
The population of interest is 6.25%
The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
The parameter of interest is 6.25%
The population of interest is the 20 counties.
The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

4 0

3 years ago