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Stels [109]
3 years ago
10

JUST $4000 DOWN PAYMENT!

Mathematics
1 answer:
Alex3 years ago
8 0
400 x 3.4x + 2000 x .50
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How to find the area of a equilateral triangle that has a perimeter of 21?
Romashka-Z-Leto [24]
First, we have to find the length of each side of triangle. Equilateral triangle means 3 sides r in same length, so each side will be 21 ÷ 3 = 7
Now we need to calculate the height of the triangle. We can do this by Pythagoras theorem
Let the height be h
(7/2)^2 + x^2 = 7^2
The area should be 6.0621778265
Or u can say 6.06 corrected to 3 sig fig
8 0
4 years ago
Solve the differential equations dy/dx=((xy^2)+x)/y
arsen [322]

\displaystyle \dfrac{dy}{dx}=\dfrac{xy^2+x}{y}\\ \dfrac{dy}{dx}=\dfrac{x(y^2+1)}{y}\\ \dfrac{y}{y^2+1}\, dy=x\, dx\\ \int \dfrac{y}{y^2+1}\, dy=\int x\, dx\\ \dfrac{\ln (y^2+1)}{2}=\dfrac{x^2}{2}+C\\ \ln(y^2+1)=x^2+C\\ y^2+1=e^{x^2+C}\\ y^2=e^{x^2+C}-1\\ y=\sqrt{e^{x^2+C}-1} \vee y=-\sqrt{e^{x^2+C}-1}\\ \boxed{y=\sqrt{Ce^{x^2}-1} \vee y=-\sqrt{Ce^{x^2}-1}}\\

7 0
3 years ago
Solve the inequality n/-3+ 8 > 6.
sleet_krkn [62]

Answer:

C.) n < 6

Step-by-step explanation:

Subtract 8:

n/-3 > -2

Multiply by -3. The negative multiplier requires the comparison be reversed:

n < 6

5 0
3 years ago
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1110 milligrams of sodium. To determine if the
asambeis [7]

Answer:

1124.28 \text { to } 1220.94

Step-by-step explanation:

A 99% confidence interval for the mean sodium content in Oriental Spice Sauce is,

First, compute t -critical value then find confidence interval.

The t critical value is,

The sample size is small and two-tailed test. Look in the column headed \alpha=0.01 and the row headed in the t distribution table by using degree of freedom is,

 d . f . =n-1

=170-1  

=169

The t critical value is 2.605 .

99 \% \text { C.I. } &=\bar{x} \pm t_{c} \times s / \sqrt{n}

=1172.61 \pm 2.605 \times 241.88 / \sqrt{170}

=1172.61 \pm 48.33

=1124.28 \text { to } 1220.94

A 99%confidence interval for the mean sodium content in Oriental Spice Sauce is  

1124.28 \text { to } 1220.94

8 0
3 years ago
the length of a rectangle is the sum of width and 1. the area of rectangle is 20 units. what is the width, in units, of the rect
Greeley [361]

Answer:

the width is 4 units

Step-by-step explanation:

because 4+ 1 = 5 is the length

4 is the width

20 is the area

5 0
3 years ago
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