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DochEvi [55]
3 years ago
7

There are many numbers that divide 109 with a remainder of 4. List all two-digit numbers that have that property.

Mathematics
2 answers:
SVEN [57.7K]3 years ago
8 0
All 2 digit numbers that are factors of 105 (109-4):

15
21
35
VMariaS [17]3 years ago
8 0
I agree with him or her
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Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
The table of ordered pairs gives an exponential function.<br> Write an equation for the function.
Ray Of Light [21]

Answer:the function would be y=m+b

Step-by-step explanation:

6 0
2 years ago
Every month Jordan puts $14 into her bank account. Her grandma puts additional money into Jordan's bank account every month. Aft
vesna_86 [32]

Answer

D $48.00 u need to multiply 216 and 12 to get 48

8 0
3 years ago
F(x) has domain , and range
marta [7]
Domain: {-4, -2, 0, 2, 4}
range: {-2, -1, 0, 1, 2}
7 0
2 years ago
Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).
LenaWriter [7]
The slope intercept form is y=mx+b
The slope formula is m=(y2-y1)/(x2-x1)
So; 5-(-7) / 0-4= -3
Then you use one of the points to find b; I’ll use 0 and 5 (the first number is x and the second number is y)
5=(-3)(0)+b
5=0+b
5=b
Finally you plug in your two values
Y= -3x+5

Hope this helps :)

4 0
3 years ago
Read 2 more answers
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