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Aleks [24]
3 years ago
8

Find the 7th term of the geometric sequence with the given terms. a4 = -8 and a5 = -40; a7 = _______.

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0
The correct answer is - 1000
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Solve by substitution-5x+4y=22 x - 3y = 0A) No solution.
zepelin [54]
We want to use substitution to solve
-5x + 4y = 22           (1)
 x - 3y = 0                (2)

From (2), obtain
x = 3y                      (3)
Substitute (3) into (1).
-5(3y) + 4y = 22
-15y + 4y = 22
-11y = 22
y = -2
From (3), obtain
x = 3y = 3*(-2) = -6

Answer: e. (-6, -2)
5 0
3 years ago
A recipe for 20 cookies uses 2 1/2 cups of milk. How many cookies are
strojnjashka [21]

Answer:

8 cookies are made per cup of milk.

Step-by-step explanation:

20 divided by 2 and 1/2 is 8.

8 + 8 + 4 (or half of 8) = 20

hope this helps. . .

have a good day. UwU

7 0
3 years ago
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuiti
emmainna [20.7K]

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

4 0
3 years ago
Read 2 more answers
The Quadratic Formula gives which roots for the equation 3x2 + 3x = 2?
Andrei [34K]

x= -3+/- sqrt 33 / 4

3 0
3 years ago
Read 2 more answers
An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
3 years ago
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