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Vladimir [108]
4 years ago
11

The product of k and -5 is no more than 30​

Mathematics
1 answer:
Ronch [10]4 years ago
8 0

Answer:

-5k < 30

Step-by-step explanation:

The product of k and -5 = -5 x k = -5k

-5k not more than 30 means it's less than 30.

Hence, the result is -5k < 30

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12

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Given that (6,-8) is on the graph for f(x), find the corresponding point for the function f(x+1)
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Answer: ( 5, -8)

Step-by-step explanation:

3 0
4 years ago
A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located
makkiz [27]
The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9)<span>:
</span>d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93

Distance 3: Los Angeles (–33, –4) to <span>San Francisco (–36, 5)
</span>d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49
<span>
D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05</span>
3 0
3 years ago
Help with geometry question
nata0808 [166]

Answer:

Step-by-step explanation:

The area of this parallelogram is

A=hb (height times base)

h=A/b, we see A=14.4mi^2 and b=4.8mi so

h=(14.4mi^2)/(4.8mi)

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3 0
3 years ago
Find the general solution of {y}''-3y=8e^{3t}+4sin(t) .
babunello [35]

Answer:

y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint

Step-by-step explanation:

We are given that linear differential equation

y''-3y=8e^{3t}+4 sint

Auxillary equation

D^2-3=0

D=\pm \sqrt3

C.F=C_1e^{\sqrt3t}+C_2e^{-\sqrt3}

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P.I=\frac{8e^{3t}}{9-3}+4\frac{sint }{-1-3}

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P.I=-\frac{4}{3}e^{3t}- sint

Hence, the general solution

G.S=C.F+P.I

y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint

3 0
3 years ago
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