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3 years ago

803 to 2:12 1,460 to 4:00 753 to 1:30 are these proportional?!?

Mathematics

1 answer:

Korolek [52]3 years ago

8 0

Answer:

Step-by-step explanation:

In terms of area per hour, Bob's works at the rate of ...

1460 ft²/(4 h) = 365 ft²/h

Rhonda's rate is ...

753 ft²/(1.5 h) = 502 ft²/h

The rates are different, so they are not proportional.

___

Additional comment

Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's

Bob's and Toni's rates are proportional.

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FinnZ [79.3K]

Answer: a) -6, b) 32, c) -48, d) 9, e) -12

Step-by-step explanation:

Since we have given that

A and B are 4 × 4 matrices.

Here,

det (A) = -3

det (B) = 2

We need to find the respective parts:

a) det (AB)

$\mid AB\mid=\mid A\mid.\mid B\mid\\\\\mid AB\mid=-3\times 2=-6$

b) det (B⁵ )

$\mid B^5\mid=\mid B\mid ^5=2^5=32$

c) det (2A)

Since we know that

$\mid kA\mid =k^n\mid A\mid$

so, it becomes,

$\mid 2A\mid =2^4\mid A\mid=16\times -3=-48$

d) $\bold{det(A^TA)}$

Since we know that

$\mid A^T\mid=\mid A\mid$

so, it becomes,

$\mid A^TA\mid=\mid A^T\mid \times \mid A\mid=-3\times -3=9$

e) det (B⁻¹AB)

As we know that

$\mid B^{-1}\mid =\mid B\mid$

so, it becomes,

$\mid B^{-1}AB}\mid =\mid B^{-1}.\mid \mid A\mid.\mid B\mid=2\times -3\times 2=-12$

Hence, a) -6, b) 32, c) -48, d) 9, e) -12

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3 years ago

48+(2*13)/110= ? A) .673 B) .7214 C) 51.5 D) 35.62

siniylev [52]

48 + (2*13) / 110
PE(MD)(AS)

2 * 13 = 26
48 + 26 / 110

26 / 110 = 0.236..
Rounded = 0.24

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2 years ago

How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

$c = \frac{-4}{8} = \frac{-1}{2} = -0.5$

c ∈ (-1,0)

Conclusion:-

The value of c = -0.5∈ (-1,0)

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Step-by-step explanation:

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