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velikii [3]
2 years ago
14

Please answer the question in the picture below. Thanks!

Mathematics
1 answer:
Arada [10]2 years ago
4 0

Answer:

Yes

Step-by-step explanation:

\frac{DH}{HE}=\frac{18}{36}=\frac{1}{2}

\text{This means that } DH=\frac{1}{2}HE

and thus the given segments are parallel by the converse of the triangle proportionality theorem.

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Sally bought two shirts that cost $6.99 each. The sales tax rate was 7%. What was the total amount Sally paid?Question 3 options
Nuetrik [128]

Answer: $14.96

Step-by-step explanation:

13.98 + .98 = 14.96

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2 years ago
A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo
iren [92.7K]

Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0
3 years ago
What is 2x^2-x-15 in vertex form
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Answer:

(1/4,-121/8)

Step-by-step explanation:

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"18 less than a number"
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Answer:

18 is 1 and 8 put togother.

Step-by-step explanation:

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3 years ago
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When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate
svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

  • Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505

8 0
2 years ago
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