Four hunndred seven trillion, nintey million seven hundred forty-two thousand seventy-two

Answers

Answer 1

Answer:

Answer:470,000,90,742,72

Step-by-step explanation:

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A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
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Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form.

Answers

The equation for a parabola can also be written in the "vertex form":
$y = a (x-h) ^ 2 + k$
Where,
the vertex of the parabola is the point (h, k).
The value of a is the term that accompanies x ^ 2
Substituting values we have:
$y = a (x - (- 4)) ^ 2 + 7$
Rewriting we have:
$y = a (x + 4) ^ 2 + 7$
For the point (-3, 8) we have:
$8 = a (-3 + 4) ^ 2 + 7$
From here, we clear the value of a:
$8 = a (1) ^ 2 + 7 8 = a + 7 a = 8 - 7 a = 1$
Then, the equation is given by:
$y = (x + 4) ^ 2 + 7$
Answer:
The equation of the parabola in vertex form is:
$y = (x + 4) ^ 2 + 7$

y=a(x-h)^2 +k
in the vertex (h, k) given that vertex (-4, 7)
we get y=(x-(-4))^2 +7
y=(x+4)^2 +7
hope it helps

Convert: 6 cubic centimeters to fluid ounces.

Answers

Answer:

6 cubic centimeters = 0.202884 ounces

Step-by-step explanation:

We have 1 fluid ounce = 29.57353 cubic centimeter.

That is

1 cubic centimeter $=(1)/(29.57353)=0.03381402\texttt{ ounces}$

Here we are asked to convert 6 cubic centimeters to fluid ounces.

6 cubic centimeters = 6 x 0.03381402 = 0.202884 ounces

The answer is 0.203 fluid ounce.

A broker/dealer bought ABC stock at 8 for its inventory position. A month later when the inter-dealer market for ABC was 10.50 -- 11.25, the broker/dealer sold the stock to a customer. The basis for the dealer's markup will be:[A] 8.00[B] 8.75[C] 10.50[D] 11.25

Answers

Answer:

[D] 11.25

Step-by-step explanation:

Broker/dealers must trade with customers based on the current bid and ask.

10.50 Bid for customers selling

11.25 Ask for customers buying

Sense or Nonsense?Penny wants to make a model of a beetle that is larger than life-size. Penny says she is going to use a scaling factor of 7/12. Does this make sense or is it nonsense? Explain.

Answers

Nonsense... The beetle in life size is 12/12 = 1
Therefore, to make a model bigger than this, it would have to be more than 12/12 (1). However, Penny is making it less than 1 whole meaning it would be smaller than life size.
Hope you understand this and it helps (-sorry, it's quite hard to explain!) :-)

If that's how it's displayed, 7/12, then no it doesn't make sense. Using that scale factor is the equivalent shrinking it by 5/12s. And that's not larger than life size. If the scale factor is 7:12, then it would make sense, as the beetle would be 5/19 bigger than the original. It's not much, but it's a start for Penny

A student drops a penny from the top of a tower and decides that she will establish a coordinate system in which the direction of the penny's motion is positive. what is the sign of the acceleration of the penny?

Answers

Answer:

The sign of acceleration is positive.

Step-by-step explanation:

Consider the provided information.

It is given that A student drops a penny from the top of a tower and decides that she will establish a coordinate system in which the direction of the penny's motion is positive.

Here the direction of the velocity is positive, and the velocity is increasing.

Acceleration is defined as the rate at which an object changes its velocity.

Since velocity is positive therefore the acceleration is also positive.

Hence, the sign of acceleration is positive.

Answer:

It's positive

Step-by-step explanation:

Find the exact value of cos(135) and sin(135).

Answers

To find the exact value of cos(135), you need the following formula: cos(a+b) = cos a • cos b - sin a • sin b So in this case, it would be: cos (135) = cos ( 45 + 90) = cos 45 • cos 90 - sin 45 • sin 90 = √(2)/2 · 0 - √(2)/2 · 1 = 0 - (√2)/2 = - (√2)/2.

To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).

cos (135)= - (√2)/2

sin (135) = (√2)/2

Final answer:

To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.

Explanation:

The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.

For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.

For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.

Learn more about Trigonometric functions here:

brainly.com/question/31540769

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