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Vsevolod [243]
2 years ago
10

Use a negative factor to factor the expression -5g + 15h - 25

Mathematics
1 answer:
Firdavs [7]2 years ago
3 0

Answer:

<h2>-5g + 15h - 25 = -5 × (g - h + 5)</h2>

Step-by-step explanation:

-5g = -5 × g

15h = 5 × 3h

-25 = -5 × 5

-5g + 15h - 25 =  -5 × g - (-5 × 3h) + (-5 × 5) = -5 × (g - h + 5)

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Consider the initial value problem y′+4y=48t,y(0)=9. y′+4y=48t,y(0)=9. Take the Laplace transform of both sides of the given dif
Nadusha1986 [10]

Answer:

sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2}

Step-by-step explanation:

given is the Differential equation in I order linear as

y′+4y=48t,y(0)=9.

Take Laplace on both sides

L(y') +4L(y) = 48L(t)\\sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2} \\Y(s) [s+4]=\frac{48}{s^2}+9\\Y(s) = \frac{1}{s^2(s+4)}+\frac{9}{s+4}

Now if we take inverse we get y(t) the solution

Thus the algebraic equation would besY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2}

8 0
2 years ago
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him
Hitman42 [59]

Answer:

answer is

-0.245 \pm2.160(0.205)

Step-by-step explanation:

After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.

Slope is -0.245

Sample size  n = 15

Standard error is 0.205

Confidence level 95

Sognificance level is (100 - 95)% = 0.05

Degree of freedom is n -2 = 15 -2 = 13

Critical Value =2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428

-0.245 \pm2.160(0.205)

8 0
2 years ago
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Allie works for Canton Water Works. Her annual salary is $75,964.
Solnce55 [7]
I think it’s gonna be B
8 0
2 years ago
Janice works at a cell phone company. She wants to make a presentation to her team about the features of a new phone. She makes
Advocard [28]
If 1 inch represents 0.5 centimeter, then 28 inches will represent 28 * 0.5 = 14 centimeters and 15 inches will represent 15 * 0.5 = 7.5 centimeters.

The actual dimensions of the phone is: the length is 14 centimeters and the width is 7.5 centimeters.
8 0
2 years ago
Read 2 more answers
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((l
tia_tia [17]

Answer:

<h3>The missing value in the solution to the equation is <u>6</u>.</h3><h3>So, the complete solution is (6, -4).</h3>

Step-by-step explanation:

Given:

6x+7y=4x+4y.

(  ,-4)

Now, to complete the missing value in the solution to the equation.

<em>As, the equation is:</em>

<em />6x+7y=4x+4y<em />

<em>And, the solution is:</em>

(x,y)=(\ \ ,-4)

Now, solving the equation by putting the value of y=-4 :

6x+7(-4)=4x+4(-4)\\\\6x+(-28)=4x+(-16)\\\\6x-28=4x-16\\\\

<em>Adding both sides by 28 we get:</em>

<em />6x=4x+12<em />

<em>Subtracting both sides by </em>4x<em> we get:</em>

<em />2x=12<em />

<em>Dividing both sides by 2 we get:</em>

x=6.

<u><em>Thus, the solution to the equation is (6, -4).</em></u>

Therefore, the missing value in the solution to the equation is <u>6</u>.

4 0
2 years ago
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