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sineoko [7]
3 years ago
13

An otter weighs 7.4 kilograms. How many grams does the otter weigh? Use the number of zeros of the product when multiplying a nu

mber by a power of 10 to help you.
Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

74

Step-by-step explanation:

So, what you have to do s 7.4 times 10 and then you get the anwser 74.

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What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k)   and then solve for "y", that's the equation of the quadratic

4 0
3 years ago
HELP PLZ ANYONE??? I AM VERY STUCK ASAP!!
Katena32 [7]

Answer:

The answer is A

Step-by-step explanation:

When you multiple the numerators across you get 39,283.2 not 39, 832. What this math problem is, is Dimensional Analysis. Its converting one unit of measurement to another

Another example:

Look at the attachment below.

3 0
2 years ago
Distributive property <br><br> 5(871)
Rama09 [41]
5(871)=5 x 13 x 67=4355
6 0
3 years ago
Read 2 more answers
Determine the domain of the function f(x)=1/3x^2+10x+8
cricket20 [7]
The function is
f(x) = (1/3)x² + 10x + 8

Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
      = (1/3)[ (x+15)²- 225] + 8
      = (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67

This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)

8 0
2 years ago
I WILL GIVE YOU BRAINLIEST IF SOMEONE ANSWERS THIS QUESTION!!!!!
galben [10]

Answer:

I say Mean.

Step-by-step explanation:

Mean (Average): 23

Mode(most common): 21

Median(Middle): 21

7 0
3 years ago
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