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vladimir2022 [97]
3 years ago
6

Answer quick Calculate the slope of the line going through A(-4,3) and B(0,6)

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

¾

Step-by-step explanation:

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope of line

=  \frac{6 - 3}{0 -  ( - 4)}

=\frac{3}{4}

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Please help show work<br><br> 3√(125) -√(16) = ?
Anna007 [38]
First, simplify the radicals
√125=√(5*5*5)=(√5*5)(√5)=5√5
so 3√125=3*5√5=15√5

and √16=4
so
15√(5)-4 is the simplified version
5 0
3 years ago
Logan and his brother plan to make spherical glass ornaments to decorate their living room. Logan decides to completely fill the
mixer [17]
For this case the first thing you should do is find the volume of the sphere.
 We have then:
 V = (4/3) * (pi) * (r ^ 3)
 Where,
 r: sphere's radius
 Substituting values we have:
 V = (4/3) * (3.14) * ((3/2) ^ 3)
 V = 14.13 in ^ 3
 Answer:
 
The amount of glitter required to completely fill one glass ornament is:
 
V = 14.13 in ^ 3
3 0
3 years ago
The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
3 years ago
A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Wednesday. There were 50 fewer cheeseburgers
Virty [35]

Hey there! I'm happy to help!

Let's call the hamburgers h and the cheeseburgers c.

h+c=500

c=h-50

Let's plug this value for c into the first equation to solve for h.

h+h-50=500

2h-50=500

Add 50 to both sides.

2h=550

Divide both sides by 2.

h=275

Therefore, 275 hamburgers were sold on Wednesday.

Have a wonderful day! :D

6 0
3 years ago
Please help me with this question.
ruslelena [56]

Answer:

Step-by-step explanation:

-1 ≤ x < 3    Solution set = {-1, 0 ,1 , 2}

-2 < x < 2   Solution set  = {-1 , 0 , 1}

Integer values that satisfies both inequalities are -1 , 0 , 1

6 0
3 years ago
Read 2 more answers
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