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2 years ago

What is the 11th term of the geometric sequence with this explicit formula? an = 5.(-2)(n-1)

Mathematics

1 answer:

erastova [34]2 years ago

7 0

Answer:

5,120

Step-by-step explanation:

an = 5.(-2)^(n-1)

a11 = 5.(-2)^(11-1)

= 5.(-2)^10

= 5.(1,024)

= 5,120

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Find the missing angles

Elina [12.6K]

Answer:

z=116 (opposite angles are equal)

y=180-(116+27)=37(angles in a triangle sum up to 180)

(z) + (27+x) =180(interior angles on same side are supplementary

116 + 27+ x =180

x= 37

4 0

2 years ago

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.

Artist 52 [7]

The number of units of x that must be sold to break even is 12 units.

Explanation:

It is given that the cost function C(x) is given by

$C(x)=9000 x+72,000$

Also, the revenue function R(x) is given by

$R(x)=15,000 x$

The break even point can be determined by equating the cost function and the revenue function.

Thus, we have,

$15,000 x=9000x+72000$

Subtracting both sides by $9000x$ , we get,

$6000x=72000$

Dividing both sides by $6000$ , we have,

$x=12$

Thus, it takes 12 units to be sold to break even.

Hence, the number of units of x that must be sold to break even is 12 units.

7 0

3 years ago

Select the correct answer. if f(x) = x^1/2– x and g(x) = 2x^3 –x^1/2-x find f(x) – g(x).

Igoryamba

f(x) - g(x) = $-2x^{3}+2x^{1/2}$

Step-by-step explanation:

Given :

f(x) = $x^{1/2} -x$
g(x) = $2x^{3} -x^{1/2} -x$

f(x) - g(x) = ( $x^{1/2} -x$ ) - ( $2x^{3} -x^{1/2} -x$ )

⇒ ( $x^{1/2} -x$ $-2x^{3}+x^{1/2} +x$ )

⇒ $-2x^{3}+2x^{1/2}$

f(x) - g(x) = $-2x^{3}+2x^{1/2}$

6 0

3 years ago

Two cars leave an intersection at the same time, one heading east and the other heading south. Some time later the cars were 200

tia_tia [17]

Answer:

114.2 miles

Step-by-step explanation:

Let x miles be the distance traveled by car heading to east.

We have been given that one car is heading east and the other is heading south. Some time later the cars were 200 mi apart.

The car heading south travels 50 miles farther than the car going east, so the distance covered by car heading to south will be x+50 miles.

We can see from our given diagram that car heading to east and south form a right triangle with the intersection, so we will use Pythagoras theorem to find the distance (x) covered by car heading to east.

$x^2+(x+50)^2=200^2$

$x^2+x^2+100x+2500=40,000$

$2x^2+100x+2500-40,000=0$

$2x^2+100x-37,500=0$

$x^2+50x-18,750=0$

We will use quadratic formula to solve for x.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-50\pm\sqrt{50^2-4*1*-18,750}}{2*1}$

$x=\frac{-50\pm\sqrt{2,500+75000}}{2}$

$x=\frac{-50\pm\sqrt{77500}}{2}$

$x=\frac{-50\pm 278.388218}{2}$

$x=-164.1941\text{ or }x=114.1941$

$x\approx -164.2\text{ or }x\approx 114.2$

Since distance traveled by a car can not be negative, therefore, the car heading to east traveled 114.2 miles.

8 0

3 years ago

Read 2 more answers

I need help with this 10 . w = 90

Colt1911 [192]

Answer:

w = 9

Step-by-step explanation:

10 * w = 90

w = 90/10

w = 9

3 0

3 years ago