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Gennadij [26K]
4 years ago
11

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
MAXImum [283]4 years ago
7 0
Sides: <span>a = 3   b = 2   c = 4 those are the answers i found.</span>
Andreyy894 years ago
3 0
3 sides are equal
so
4x - 30 = 3x - 5
4x - 3x = -5 + 30
         x = 25
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Well... you need to find your slope first for starters. In order to find you slope it would be y2-y1/x2-x1... rise/run. So that would make your slope 6/3 and you can simplify that to 2/1 because divide it by 3. In order to find your y-intercept, you need to have (x) at 0 and wherever (y) is on that line, it would be your y-intercept.
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3 years ago
In, z = 4 cm, x=8cm, and m
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Which is the graph of y – 3 =-2/3 (x + 6)?
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7 0
3 years ago
If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca
aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A ( t ) = 10 e^{ -0.0188 t (t in hours)

(a)After 12 Hours

A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)

(b)If A(t)=5mg

Then:

5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)

(c)

A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)

3 0
3 years ago
A total of 706 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 more stud
sleet_krkn [62]

325 adult tickets were sold

<em><u>Solution:</u></em>

Let "a" be the number of adult tickets sold

Let "s" be the number of student tickets sold

<em><u>Given that total 706 tickets were sold for the school play</u></em>

Therefore,

number of adult tickets sold + number of student tickets sold = 706

a + s = 706 --------- eqn 1

<em><u>There were 56 more student tickets sold than adult tickets</u></em>

Number of student tickets sold = 56 + number of adult tickets sold

s = 56 + a ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 2 in eqn 1</u></em>

a + 56 + a = 706

2a + 56 = 706

2a = 706 - 56

2a = 650

a = 325

Thus 325 adult tickets were sold

6 0
4 years ago
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