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In-s [12.5K]
2 years ago
12

mula1" title="{y}^{2} + \frac{3y}{2} = \frac{27}{2} " alt="{y}^{2} + \frac{3y}{2} = \frac{27}{2} " align="absmiddle" class="latex-formula">​
Mathematics
2 answers:
Grace [21]2 years ago
7 0

Answer:

Solve the equation for y by finding a, b, and c

of the quadratic then applying the quadratic formula.

Exact Form:

y = 3,−9/2

Decimal Form:

y = 3,−4.5

Mixed Number Form:

y = 3,− 4 1/2

Step-by-step explanation:

branliest pls

Anton [14]2 years ago
3 0
Answer: y= 3, - 9/2

Explain:
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Planes A & B are shown. If a new line, p, is drawn parallel to line l, which statement is true?
Alisiya [41]

The true statement is : Line p must be drawn so that it can lie on the same plane as line l

Step-by-step explanation:

From the diagram line l lies on plane A. When line p is drawn to be parallel to line l, it has to appear on plane A. This means that line p will be parallel to line l and perpendicular to line n that lies on plane B

Learn More

Line and plane :brainly.com/question/13099718

Keywords :plane, new line, parallel line, statement, true

#LearnwithBrainly

6 0
2 years ago
A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours there will be 800 bacter
Leona [35]

Answer:

Step-by-step explanation:

Let the rate at which the bacteria grow be represented by the exponential equation

P(t) = P0e^kt

P(t) is the population of the bacteria after time t

P0 is the initial population

k is the constant of variation

t is the time

If the initial Population is 160 bacteria's, them the equation becomes;

P(t) = 160e^kt

b) if After 5 hours there will be 800 bacteria, this means

at t = 5 p(t) = 800

Substitute and get k

800 = 160e^5k

800/160 = e^5k

5 = e^5k

Apply ln to both sides

Ln5 = lne^5k

ln5 = 5k

k = ln5/5

k = 0.3219

Next is to calculate the population after 7hrs i.e at t = 7

P(7) = 160e^0.3219(7)

P(7) = 160e^2.2532

P(7) = 160(9.5181)

P(7) = 1522.9

Hence the population after 7houra will be approximately 1523populations

c) To calculate the time it will take the population to reach 2790

When p(t) = 2790, t = ?

2790 = 160e^0.3219t

2790/160 = e^0.3219t

17.4375 = e^0.3219t

ln17.4375 = lne^0.3219t

2.8587 = 0.3219t

t = 2.8587/0.3219

t = 8.88 hrs

Hence it will take approximately 9hrs for the population to reach 2790

7 0
3 years ago
4. You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:1
Dvinal [7]

Answer:

48 mph

Step-by-step explanation:

First we need to find the distance from Elkhart to Chicago. Toledo to Elkhart is 136 miles and Toledo to Chicago 244 miles.

So the distance from Elkhart to Chicago can be calculated, since Chicago is farther from Toledo than Elkhart, as: distance(Toledo to Chicago) - distance(Toledo to Elkhart). These distances are given in the problem, so the distance from Elkhat to Chicago is: 244 miles - 136 miles = 108 miles.

This problem basically wants to know the slowest you can be yet still ariving on time. If you are the minimum speed, you will arrive in Chicago exactly at 10:30 A.M. So you have 2 hours and 15 minutes(10:30 A.M - 8.15A.M.) to drive 108 miles.

15 minutes is a fourth of a hour, so you have 2.25hours to go through 108 miles.

The minimum speed you must maintain is 108mph/2.25h = 48mph.

5 0
3 years ago
There is a small pond which is 8 metres long, 4 metres wide and 2 metres deep. What is the volume of the pond?
Rama09 [41]
8 x 4 x 2 = 64
Therefore the volume of the pond is equal to 64m³
5 0
3 years ago
Read 2 more answers
What is the equation for the line in slope-intercept form
galben [10]

Answer:

y=-2x-4

Step-by-step explanation:

5 0
2 years ago
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