M<2=12x+5 and m<7 4x+19 find m<2

A triangle has two sides of lengths 7 and 9. What value could the length of the third side be? Check all that apply.

nexus9112 [7]

Answer:

A

B

C

E

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Choose the equation of the line represented by the graph.

erik [133]

Answer:

6x + y = 20

Step-by-step explanation:

rise over run is 30 / 5 which is equal to six

Since the line is positive, the 20 is positive

I hope this helps!!

4 0

3 years ago

A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of G

denis23 [38]

Answer:

1) P(0) = 5000

2) P(t --> ∞) = 25000

Step-by-step explanation:

P(t) = (25t² + 125t + 200)/(t² + 5t + 40)

1) Population at the moment corresponds to population at t = 0

P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)

2) Population in the long term corresponds to the population as t --> ∞

P(t) = (25t² + 125t + 200)/(t² + 5t + 40)

Divide through the numerator and denominator by t²

P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))

P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)

P(t --> ∞) = 25 thousand = 25000

3 0

4 years ago

Write fifty-seven and one hundred forty-two thousandths in standard form.

Vedmedyk [2.9K]

57,142 because it says standard

6 0

3 years ago

Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0

creativ13 [48]

Applying the differentiation rule, it can be obtained that:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

<h3>What is the formula for differentiating an exponential function?</h3>

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

$\frac{d}{dt}(e^{mt})=me^{mt}$ .

Given that $r(t)=(e^t,e^{2t})$ .

So, differentiating $r(t)=(e^t,e^{2t})$ with respect to $t$ , we get: $r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right)$ .

So, using the above formula $\frac{d}{dt}(e^{mt})=me^{mt}$ , we get: $r'(t)=(e^t,2e^{2t})$ .

Now, substituting $t=t_0=0$ in $r(t)=(e^t,e^{2t})$ and $r'(t)=(e^t,2e^{2t})$ , we obtain:

$r(t_0=0)=(e^0,e^{2\times 0})=(1,1)$ and $r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2)$ .

Therefore, applying the differentiation rule, we get:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

To know about the differentiation rule, refer:

brainly.com/question/25081524

#SPJ9

5 0

1 year ago