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3 years ago

Evaluate if a=-3, b=2, c=-5 a2

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

6 0

Answer:

Substitute the value of the variable into the expression and simplify.

Step-by-step explanation:

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State the slope and y-intercept y=3x+4

WARRIOR [948]

slope intercept form: y=mx+b

y=3x+4

slope is also m

b is the y-intercept

answer:

slope is 3

y-intercept is 4

5 0

3 years ago

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50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the instanteous rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at exactly t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

3 years ago

What is this expression in simplified form 5/2 times 9/6? A.90 B.90/3 C.45/2 D. 45/3

alekssr [168]

5√2 · 9√6

Simplify.

5 × 9 √ 2 x 6 ⇒ Multiply 2 × 6.

5 × 9 √12

Simplify √12 to 2√3.

5 × 9 × 2√3 ⇔ Multiply

90√3

Therefore, the correct alternative is option "B".

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2 years ago

Please help me with this question! I would really appreciate it <333

Semenov [28]

Answer:

C or D definitely not A or B bc it is too close of a number to 24.75 for 15

Step-by-step explanation:

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3 years ago

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The Byrds. You have 16 new CDs to put on your empty five-shelf CD rack. Can you place the CDs so that each shelf contains three

bulgar [2K]

If each shelf is to contain exactly 3 new CDs and there are only 5 shelves, only 15 can be placed in the rack. So, the answer to the second question is no. The same goes for the first question as placing 3 or fewer CDs to the shelves will make the rack insufficient for the CDs.

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4 years ago

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