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Murrr4er [49]
2 years ago
5

Which numbers are a distance of 7 units from 1 on a number line?

Mathematics
2 answers:
Delvig [45]2 years ago
5 0

Answer:

-6 and 8, draw a number line and count 7 "steps' or units away from each side of 1 on the number line

Step-by-step explanation:

kvasek [131]2 years ago
4 0

Answer:

-6 and 8

Step-by-step explanation:

:)

:)

:)

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If angle LMPis 11 degrees more than angle NMP and angle NML is 137 find each measure.
OLEGan [10]

Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

7 0
3 years ago
Read 2 more answers
Consider the differential equation:
Wewaii [24]

(a) Take the Laplace transform of both sides:

2y''(t)+ty'(t)-2y(t)=14

\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s

where the transform of ty'(t) comes from

L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)

This yields the linear ODE,

-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s

Divides both sides by -s:

Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}

Find the integrating factor:

\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C

Multiply both sides of the ODE by e^{3\ln|s|-s^2}=s^3e^{-s^2}:

s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}

The left side condenses into the derivative of a product:

\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}

Integrate both sides and solve for Y(s):

s^3e^{-s^2}Y(s)=7e^{-s^2}+C

Y(s)=\dfrac{7+Ce^{s^2}}{s^3}

(b) Taking the inverse transform of both sides gives

y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that \frac{7t^2}2 is one solution to the original ODE.

y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7

Substitute these into the ODE to see everything checks out:

2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14

5 0
3 years ago
Can someone please help me on 50.
Andrei [34K]
50) MAD=1.6

Follow steps...
<span>To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|. Find the sum of the absolute values of the differences. <span>Divide the sum of the absolute values of the differences by the number of data values.</span></span>
5 0
3 years ago
In order to solve the equation −3x − 6 = 5, the first step is to
aksik [14]

Answer:

3) add 6 to both sides

Brainliest if this was helpful

7 0
2 years ago
Read 2 more answers
2. Which side lengths would not make a triangle?<br> 4,3,7<br> G 3, 8,6<br> ©<br> 2, 4,5
Lisa [10]

Answer:

2,4,5

Step-by-step explanation:

8 0
3 years ago
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