Find the slope of the line that passes through the given points.

Explain when you should reverse the inequality symbol when solving an equality.

rosijanka [135]

You must “reverse” the inequality sign to make the statement true: When you multiply by a negative number, “reverse” the inequality sign. Whenever you multiply or divide both sides of an inequality by a negative number, the inequality sign must be reversed in order to keep a true statement.

3 0

3 years ago

What is a reflectional symmtery

Andrew [12]

Reflectional symmetry<span> is also called bilateral, line </span>symmetry<span> or mirror </span>symmetry. It occurs when a line is drawn to divide a shape in halves so that each half is areflection<span> of the other. Some shapes or objects, such as circles, squares and triangles, have one or more lines of </span>symmetry<span>. Mark as brainliest if u can thanks</span>

5 0

3 years ago

The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.

KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

$9400(0.857)^t < 6000$

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

$A(t) = A(0)(1 - r)^t$

$A(t) = 9400(1 - 0.143)^t$

$A(t) = 9400(0.857)^t$

The tax status will change when:

$A(t) < 6000$

Hence the inequality is:

$9400(0.857)^t < 6000$

Then:

$(0.857)^t < \frac{6000}{9400}$

$\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}$

$t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}$

Since both logs are negative:

$t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}$

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0

1 year ago

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 115 km south and 112 km east. Mt. Rainier is locat

Mars2501 [29]

Answer:

5 minutes 4.8 seconds

Step-by-step explanation:

We can work this problem several ways. One is to determine the component of the distance from JBLM to the mountain that is in the direction the plane is flying. We can do that by finding the dot product of the vector to the mountain with the normalized direction vector of the airplane:

JA = JR•(JP/|JP|) . . . . . . where JR = (56, -40) and JP = (112, -115)

= (56, -40)•(112, -115)/√(112² +115²)

JA = 10872/√25769 ≈ 67.7268 . . . . km

__

At a speed of 800 km/h, this distance will be covered in ...

time = distance/speed

time = (67.7268 km)/(800 km/h) = 0.0846585 h

That's about 5 minutes, 4.8 seconds.

_____

In the attached diagram, J represents JBLM, R represents Mt. Rainier, A represents the point of closest approach, and P would represent the location of the airplane after 1 hour of flying time, (112, -115). In the above, we have used the names of these line segments/vectors.

6 0

2 years ago

Use the limit definition of derivative to determine whether the function f(z)=(\operatorname{Re} z)^{2}f(z)=(Rez) 2 is complex-d

beks73 [17]

Hmmm 818291937739191 is the answer

4 0

2 years ago