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Soloha48 [4]
3 years ago
5

Please help me with this ,

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

  (a) -2.3°/min

  (b) -2.9°/min

Step-by-step explanation:

The average rate of change is the ratio of the difference in R values to the difference in the corresponding t values.

(a) m = (157.6 -226.6)/(30 -0) = -69/30 = -2.3 . . . degrees per minute

__

(b) m = (61.6 -119.6)/(70 -50) = -58/20 = -2.9 . . . degrees per minute

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At what point on the parabola y = 3x^2 + 2x is the tangent line parallel to the line<br> y = 10x −2?
oksian1 [2.3K]

Answer:

( \frac{4}{3} , 8 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - 2 ← is in slope- intercept form

with slope m = 10

Parallel lines have equal slopes

then the tangent to the parabola with a slope of 10 is required.

the slope of the tangent at any point on the parabola is \frac{dy}{dx}

differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1} , then

\frac{dy}{dx} = 6x + 2

equating this to 10 gives

6x + 2 = 10 ( subtract 2 from both sides )

6x = 8 ( divide both sides by 6 )

x = \frac{8}{6} = \frac{4}{3}

substitute this value into the equation of the parabola for corresponding y- coordinate.

y = 3(\frac{4}{3} )² + 2

   = (3 × \frac{16}{9} ) + 2

   = \frac{16}{3} + \frac{8}{3}

   = \frac{24}{3}

   = 8

the point on the parabola with tangent parallel to y = 10x - 2 is ( \frac{4}{3} , 8 )

3 0
2 years ago
A spinner is divided into four equal sections that are numbered 2, 4, 7, and 9. The spinner is spun twice.How many outcomes have
shusha [124]

The spinner is divided into four equal sections: 2, 4, 7, 9. This represents 4 possibilities

If the spinner is spun twice, the sample space is:

\text{Sample space = 4}^2\text{ = 16}

For product less than 30, the number of outcomes is shown below:

The number of outcomes that have a product less than 30 = 10

The sample space that shows possibilities of an odd number combination:

The number of outcomes that contains at least one odd number = 12

The number of outcomes that have a product less than 30 and contain at least one odd number is shown below. These outcomes are outcomes circled in both cases shown above,

The outcomes circled represents the number of outcomes that has a product less than 30 and contains at least one odd number

Answer: 6 (option B)

7 0
1 year ago
√1521 = evaluate 390²
Digiron [165]

Answer:

the square root of 1521 is 39 and 390 squared is 152,100 if that helps you

7 0
3 years ago
In his bank account, Jean-Paul has a balance of $0.00
GenaCL600 [577]
Well JP has $0.00 in his bank account which means his has more debt

Albert has $11.10 which means he has greater absolute value.

5 0
3 years ago
Read 2 more answers
Ummm... I dunno what 1+1 is
Sidana [21]

Answer:

2 u do know unless ur in pre k but pre kers cant spell tht much so u knew the answer.

Step-by-step explanation:

1+1=2

5 0
3 years ago
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