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yaroslaw [1]
2 years ago
7

. A patio is built in the shape of a trapezoid, as shown. Determine the area of the patio.

Mathematics
1 answer:
netineya [11]2 years ago
8 0

Answer:

84 in²

Step-by-step explanation:

(15+6)0.5 * 8 = 21(0.5) * 8 = 10.5 * 8 = 84

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In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to
fiasKO [112]

Step-by-step explanation:

From the statement:

M: is total to be memorized

A(t): the amount memorized.

The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"

memorizing rate is \frac{dA(t)}{dt}.

the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is M-A(t).

So we can write

\frac{dA(t)}{dt}=k(M-A(t))

And that would be the differential equation for A(t).

4 0
3 years ago
The height of the 50 -milliliter beaker is one-third the height of the 2000 -milliliter beaker. Complete the equation you can us
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Answer:

its eighteen centimeters because  

Step-by-step explanation:

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6 0
2 years ago
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What are 3 completed examples for functions?
Lyrx [107]
Example 1

Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.

Solution

Given, y = x2 + 4x + 1

By applying function notation, we get

f(x) = x2 + 4x + 1

Evaluation:


Substitute x with 3

f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22

Example 2

Evaluate the function f(x) = 3(2x+1) when x = 4.

Solution

Plug x = 4 in the function f(x).

f (4) = 3[2(4) + 1]

f (4) = 3[8 + 1]

f (4) = 3 x 9

f (4) = 27

Example 3

Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).

Solution

y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3


Substitute x with (2a + 3).

f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3

= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
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2 years ago
On a piece of paper, graph y+2>-3x-3.
oksian1 [2.3K]

Answer:

just go on desmos graphing calculator and type it in

Step-by-step explanation:

4 0
3 years ago
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\bf f(x)=\cfrac{2x+1}{x+1}\implies \stackrel{f(x)}{0.3}=\cfrac{2x+1}{x+1}\implies 0.3(x+1)=2x+1&#10;\\\\\\&#10;0.3x+0.3=2x+1\implies 0.3x-2x=1-0.3\implies 0.3x-2x=0.7&#10;\\\\\\&#10;-1.7x=0.7\implies x=\cfrac{0.7}{-1.7}\implies x\approx -0.41176470588235294
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2 years ago
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