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lozanna [386]
2 years ago
14

What is NOT true about a direct proportion

Mathematics
1 answer:
SVEN [57.7K]2 years ago
5 0
It’s graph must go through the origin ?
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The picture shows the graphs of the functions expressed by a formula of the following type: y = kx + b.
ollegr [7]

Answer:

line 1: y= 1x+ 2

line 2: y= -1x-0.5

(usually 1 is omitted but I added for clarity)

Step-by-step explanation:

slope (x)= yfinal-yintial/xfinal-xinitial

b= where line intersects y axis

line 1:  (-1,0), (0.5,1.5)

(1.5-0)/(0.5-(-1))

(1.5)/(1.5)

slope= 1x

y=x+ 2

line 2: (-0.5,0), (0.5,-1)

(-1-0)/(0.5-(-0.5))

(-1)/(1)

slope= -1x

y=-x-0.5

7 0
3 years ago
Read 2 more answers
A cube with a cylindrical hole cut out of the middle is shown. The edge length of the cube is 36 feet, and the circle on the fro
Vaselesa [24]

46204 ft³

<h3>                               <u>Explanation</u>:</h3>

Volume of <u>cube</u>: length³ ⇒ 36³ ⇒ 46656 ft³

Volume of <u>cylinder</u>: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³

Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³

4 0
2 years ago
Read 2 more answers
A couple purchased a home and signed a mortgage contract for $900,000 to
Tema [17]

9514 1404 393

Answer:

  • $33,336.83
  • $35,176.68
  • $36,869.23
  • $38,266.75
  • $39,158.08

Step-by-step explanation:

The amortization formula can be used to find the payment value.

  A = P(r/2)/(1 -(1 +r/2)^(2n))

where P is the principal amount at the beginning of the loan period, r is the annual interest rate, n is the number of years remaining on the loan

The value of A in this scenario is the semi-annual payment.

Initially, the interest rate is 0.055 and the number of years remaining is 25.

After the first 5-year period, the interest rate goes up by 12%, so is multiplied by a factor of 1.12 to become 6.16% per year. The same growth factor is applied to the interest rate at the beginning of each 5-year period.

Of course, the number of years remaining is decreased by 5 years at the beginning of the next 5-year period.

__

The Principal remaining at the end of each 5-year period is the starting principal for the next period. It is calculated from ...

  FV = P(1 +r/2)^10 -A((1 +r/2)^10 -1)/(r/2)

Where P is the starting principal, A is the loan payment as calculated above, and r is the annual interest rate.

__

These formulas are built into spreadsheet functions, so the desired set of loan payments can be calculated easily by that technology. The result is attached. In the "# pmts" column is the value used to amortize the loan for the 5-year period. The semiannual payment is calculated as though the loan would be completely paid off in that number of payments, keeping the same interest rate for the duration. Of course, that payment series is interrupted and the loan recalculated at the beginning of the next 5 years.

The half-yearly payments for each 5-year interval are ...

  $33,336.83

  $35,176.68

  $36,869.23

  $38,266.75

  $39,158.08

_____

<em>Additional comment</em>

The values displayed in the spreadsheet are rounded to the values shown. The values used in calculation have 14 or more significant digits. This means the numbers here may vary from those provided by a lending institution. In the real world, the principal and interest values are rounded to cents with each payment, so actual results may vary by a few cents either way.

7 0
3 years ago
The formula v equals the square root of the quantity 64 multiplied by h end of quantity gives the velocity v in feet per second
NemiM [27]
The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.

When potential energy is completely converted to kinetic energy you have:

(mv^2)/2=mgh  divide both sides by the mass m

v^2/2=gh  multiply both sides by 2

v^2=2gh take the square root of both sides

v=√(2gh)  and working with imperial units for acceleration due to gravity, g=-32ft/s^2

v=√(-64h)  but the change of h as it falls is negative h so

v=-√(64h) so if an object falls from a height of 88ft we have:

v=-√(64*84)

v=-√5376

v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)

Note that this is the velocity, it is negative 73.32 ft/sec.

The question inadvertently asked for velocity and provided answers for SPEED.  Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.

So its final speed is 73.32 ft/sec

So if they actually wanted velocity none of their answers is correct :P
5 0
2 years ago
Read 2 more answers
Divide, and enter the exact quotient.<br> 22,500 ÷ 500 =
Solnce55 [7]

Answer:

45

Step-by-step explanation: 45 x 500 = 22,500 meaning 22,500 ÷ 500 = 45

8 0
3 years ago
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