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3 years ago

1. -7-(-2) *

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

1. -7-(-2)
= -7+2= -5

2. 5-(-3)
= 5+3=8

3. -6-4
= -6+(-4)= -10

4. -3-(-3)
= -3+3= 0

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Which expressions are equivalent to -6n + (-12) + 4n?

creativ13 [48]

The answer is A. 4(n 3) - 6n

6 0

3 years ago

The surface of a right cylinder is 324 pi cm^2. If the radius and height are equal, find the length of the diameter

DanielleElmas [232]

Answer:

The length of the diameter is 18 cm

Step-by-step explanation:

In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.

Mathematically, the surface area of a cylinder can be represented by the equation;

A = 2 π r( r + h)

since r = h, we can say h = r

Thus, the equation becomes;

A = 2 π r( r + r)

A = 2 π r(2r)

A = 4 π r^2

From the question, we can see that the value of A = 324 π

substituting this, we have;

324 π = 4 π r^2

4r^2 = 324

r^2 = 324/4

r^2 = 81

r = root of 81

r = 9 cm

The value of the diameter is two times the radius

Hence D = 2r = 2 * 9 = 18 cm

8 0

4 years ago

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

I need help (please show your work)

oksano4ka [1.4K]

Answer:

the solution is (-4, 3)

Step-by-step explanation:

if you were to graph y = -7/4x - 4 you could plot your first point at (0, -4) and get your second point by going up 7 units (from (0, -4) and to the left by 4

if you were to graph y = -1/4x + 2 you could plot your first point at (0, 2) and get your second point by going up 1 unit (from (0, 2) and to the left by 4

the second point plotted for each equation will be the point of intersection, (-4, 3)

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3 years ago

1. Find the sum of the measures of the interior angles of a convex hexagon.

butalik [34]

Answer:

could you include a pic please?

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3 years ago

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