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3 years ago

A truck begins a trip of 1675 miles. The truck averages 55 miles per hour including stops

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

I think you divide it 1675/55 which would be about 33

coldgirl [10]3 years ago

7 0

Actually 1675/55 is 30.45 mph

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lynn, jude and anne were given the function f(x)=-2x^2+32, and they were asked to find f(3). lynns answer was 14, judes answer w

AfilCa [17]

The only thing we need to here to find who is correct is evaluate the function $f(x)=-2 x^{2} +32$ at $x=3$ . To do that we are going to replace $x$ with $3$ in the function:
$f(x)=-2 x^{2} +32$
$f(3)=-2 (3)^{2} +32$
$f(3)=-2 (9) +32$
$f(3)=-18+32$
$f(3)=14$

We can conclude that Lynn is correct. $f(3)$ is indeed 14.

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olga nikolaevna [1]

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3 years ago

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A standard basketball court is 50 feet by 94 feet what is the total surface area in square feet?

elena-14-01-66 [18.8K]

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3 years ago

Use the theorem in Sec. 28 to show that if f (z) is analytic and not constant throughout a domain D, then it cannot be constant

alexandr1967 [171]

Answer:

The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.

Step-by-step explanation:

Given

For any given function f(z), it is analytic and not constant throughout a domain D

To Prove

The function f(z) is non-constant constant in the neighbourhood lying in D.

Proof

1-Assume that the value of f(z) is analytic and has a constant throughout some neighbourhood in D which is ω₀

2-Now consider another function F₁(z) where

F₁(z)=f(z)-ω₀

3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.

4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.

5-Replacing value of F₁(z) in the above gives:

F₁(z)≡0 in domain D

f(z)-ω₀≡0 in domain D

f(z)≡0+ω₀ in domain D

f(z)≡ω₀ in domain D

So this indicates that the value of f(z) for all values in domain D is a constant ω₀.

This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.

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2 years ago

4. Two points on a line are (-10, 1) and (5, -5). If

Vsevolod [243]

Answer:

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$