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Ganezh [65]
3 years ago
13

I need the answer for these questions please my mom is at work and cannot help me

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

2 1/2 gallons

about 1 more quart

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A car travels a distance of d km in t hours. The formula that
V125BC [204]

Answer:

Direct Variation

Step-by-step explanation:

Given: A car travels at a distance of d km. The formula that relates d to t is d=kt

To find: kind of variation

Solution:

The formula that relates d to t is d=kt

Here, k is a constant of proportionality.

Constant of proportionality is also called as constant of variation.

d varies directly as t.

Therefore, this is a direct variation.

5 0
2 years ago
Need help ASAP !!!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B95%20%5Ctimes%2019%20%5Ctimes%205%7D%20" id="TexFormula
dimulka [17.4K]

Answer:

the answer is 9025

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
F(x)=x^3+3
lawyer [7]

Answer:

  (a)   -3/4

  (b)  -0.75

  (c)  -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

__

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

__

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.

5 0
3 years ago
A sequence is defined recursively by the formula f(n+1)=-2f(n). The first term of the sequence is -1.5. Whis is the next term in
podryga [215]
We are told that f(1) = -1.5, and that f(n+1) = -2f(n).
                                                 Then: f(2) = -2f(1) = -2(-1.5) = +3 (answer)

3 0
3 years ago
A cylinder and a cone have congruent heights and radii. What is the ratio of the volume of the cone to the volume of the cylinde
n200080 [17]

A cone with the same radius and height as a cylinder will have one-third the volume of the cylinder.

Vcone = (1/3)*π*r^2*h

Vcylinder = π*r^2*h
8 0
3 years ago
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