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3 years ago

Write 0.0065 in standard form.

Mathematics

1 answer:

zalisa [80]3 years ago

3 0

Answer:

It is just 65.

Step-by-step explanation:

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What is the focus of the parabola?<br><br> y=−14x2−2x−2

nataly862011 [7]

First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:

y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²

This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).

Or (-0.071,-1.977).</span>

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3 years ago

Tamika built a large play area in the shape of a rectangle. The length of one side was 8 meters, and the length of the other sid

ryzh [129]

The dimensions of the rectangle given are

length = 14 meters

Width = 8 meters

The perimeter of the rectangle is given by the sum of its sides

The rectangle has to opposite sides of 14 meters and two opposite sides of 8 meters

Hence adding up the 4 sides we get

$8+14+8+14 = 44$

Hence option B is the right answer

5 0

3 years ago

Read 2 more answers

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204

grandymaker [24]

Answer:

$x+y=12$

$21.50x+14.75y=204$

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

$x+y=12$

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be $21.50x$ and cost of y children's ticket will be $14.75y$ . We can form the second equation by setting the total cost of tickets as:

$21.50x+14.75y=204$

Therefore, the required system of equations that could be used to find x and y will be:

$x+y=12$

$21.50x+14.75y=204$

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3 years ago

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Evaluate g(3) if g(x)=2x+2

klemol [59]

Plug in 3 for x so
2(3)+2
6+2=
8
The evaluation is 8

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4 years ago

Write -4i + (1/4-5i)-(-3/4+8i)+17i as a complex number in standard form

Alex17521 [72]

Answer:

Step-by-step explanation:

$-4i+\left(\dfrac{1}{4}-5i\right)-\left(-\dfrac{3}{4}+8i\right)+17i\\\\=-4i+\dfrac{1}{4}-5i+\dfrac{3}{4}-8i+17i\\\\=\left(\dfrac{1}{4}+\dfrac{3}{4}\right)+(-4i-5i-8i+17i)\\\\=\dfrac{1+3}{4}+(-4-5-8+17)i\\\\=\dfrac{4}{4}+0i\\\\=1$

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3 years ago