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Georgia [21]
2 years ago
10

5pm to 5 am how many hours

Mathematics
2 answers:
slega [8]2 years ago
8 0

Answer:

12 hours

Step-by-step explanation:

BARSIC [14]2 years ago
8 0

Answer:

12 hours

Step-by-step explanation:

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the coordinates of the vertex of a parabola in the xy-plane are (-4,k). If the y-intercept of the parabola is 12 and the parabol
svp [43]

The value of k is (A) 20/3.

<h3>What is a parabola?</h3>
  • A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
  • It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
  • A point and a line are two ways to describe a parabola.

To find the value of k:

  • y - b = c (x - a)²

Where (a, b) is the vertex and c is the constant.

  • (a, b) = (-4, k)
  • y - k = c (x - (- 4))²
  • y - k = c (x + 4)²

So,

  • x = 0, y = 12
  • 12 - k = 16c
  • k = 12 - 16c  ...... (1)

Then,

  • (-3, 7) = (x, y)
  • 7 - k = c (1)²
  • k = 7 - c  ...... (2)

Now,

  • 12 - 16c = 7 - c
  • 12 - 7 = 16c - c
  • 5 = 15c
  • c = 5/15 = 1/3

So, the value of k:

  • k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3

Therefore, the value of k is (A) 20/3.

Know more about a parabola here:

brainly.com/question/4061870

#SPJ4

The complete question is given below:

The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?

(A) 20/3

(B) 16/5

(C) 14/3

(D) 12/5

5 0
1 year ago
Question 3 Unsaved
bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}

Simplify to get

Y(s) = \frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]

Take inverse

y(t) = \frac{e^{-3t} -e^{-5t}}{2}

8 0
3 years ago
The following map shows the time it takes to drive between four cities in Texas. Jacob has to drive from San Antonio to Houston,
sertanlavr [38]

Answer:

it is 7 5/12

Step-by-step explanation:

3 and 1/3 plus 4 and 1/12 and you need to multiply the denominator to get 12 ( witch is 4 ) then multiply the numerator by 4 and then you add the 2 numbers together to get 4/12 + 1/12 and then you need to add the whole numbers 3 + 4

witch gets you 7 and 5/12

3 0
2 years ago
The sales tax rate is 8.25%. Estimate the sales tax<br> on a book that costs $18.50.
eimsori [14]

Answer:

$1.53

Step-by-step explanation:

Sales Tax Rate = 8.25%

Book Sales Cost = $18.50

Book Sales Tax = 8.25% x $18.50

= 8.25/100 x $18.50

= 0.0825 x $18.50

Book Sales Tax = $1.53

4 0
3 years ago
Read 2 more answers
Which choice is equivalent to the expression below ? sqrt -12
STALIN [3.7K]
There’s no answer choices
6 0
3 years ago
Read 2 more answers
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