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iris [78.8K]
3 years ago
6

Nd Practice

Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

a. Factor (divisor).  

b. Factor (divisor).  

c. Multiple.

Step-by-step explanation:

Given the algebraic expression;

28 = 7 * 4

We can re-write the expression as;

1. \frac {28}{4} = 7

2. \frac {28}{7} = 4

Hence, we can deduce the following points from the above algebraic expression;

a) With respect to 28, 4 represents a factor or divisor.

b) With respect to 28, 7 represents a factor or divisor.

c) With respect to each of the numbers 7 and 4, 28 represents a multiple.

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Write an equation for the line parallel to the given line that contains C.
lyudmila [28]

ANSWER

y= - 4x + 18

EXPLANATION

The given line has equation;

y =  - 4x + 5

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

m =  - 4

The equation of this line is in the form:

y-y_1=m(x-x_1)

We substitute the slope and the point:

(3,6)

y-6= - 4(x-3)

y= - 4x + 12+ 6

y= - 4x + 18

6 0
3 years ago
Kara’s car used 1/16 gallons of gas to drive 1/8 of a mile at this rate how many miles can Kara’s car drive using one gallon of
marissa [1.9K]
Answer is 2 miles
Hope this helps
8 0
2 years ago
Please I need help who want to earn 13 points ..
lisov135 [29]

Answer:

Triangle ISK

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo
coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}

Where

h = 6.5\ ft\\\\x = 6\ ft

therefore:

z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft

4 0
3 years ago
A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0
3 years ago
Read 2 more answers
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