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svlad2 [7]
3 years ago
7

Evaluate each expression for x = 2 and y = 5 3.) -4x^-2 + 3y^0 4.) 2x^0y^-2

Mathematics
1 answer:
12345 [234]3 years ago
3 0

Answer:

Step-by-step explanation:

x = 2  and y = 5

3) -4x^{-2}* 3y^{0} = -4*\dfrac{1}{x^{2}}*3*1             [ y^{0} = 1]

                        Now plug in x = 2

                   = -4 * \dfrac{1}{2^{2}}= -4 * \dfrac{1}{4}

                   = - 1

4) 2x^{0}*y^{-2} = 2*1 * \dfrac{1}{y^{2}}= 2*\dfrac{1}{y^{2}}

Now, plugin y= 5

                   = 2 * \dfrac{1}{5^{2}}=\dfrac{2}{25}

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lozanna [386]

The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

To learn more about slope visit:

brainly.com/question/13281781

#SPJ1

6 0
2 years ago
What is the surface area of the regular pyramid given below?
yuradex [85]

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

SA = \frac {1} {2} p * S + A_ {b}

Where:

p: It is the perimeter of the base

S: It's the inclination

A_ {b}: It is the area of the base

Substituting:

A_ {b} = 7 ^ 2 = 49units ^ 2\\p = 7 + 7 + 7 + 7 = 28units\\S = 10units\\SA = \frac {1} {2} 28 * 10 + 49\\SA = 140 + 49\\SA = 189 \ units ^ 2

ANswer:

Option B

3 0
4 years ago
Whats the ratio of 14,10 and 4
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Step-by-step explanation:

14 : 10 : 4

Divide it by 2

7 : 5 : 2

This is the simplest form because it cannot be divided further

7 0
3 years ago
The number −6 is 2 more than an unknown number. Find the unknown number.
andrezito [222]

Answer:

-8

Step-by-step explanation:

if its 2 more then -6-2=-8

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3 years ago
Find the missing angle and classify the triangle below.
sergij07 [2.7K]

Answer:

Hello! answer: 60 and the triangle is a Equilateral because each measure is the same HOPE THAT HELPS!

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3 years ago
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