List 3 values that would make this inequality true. 7n<21

Mkey [24]

→ Chapter : Exponentiation ←
≡ We know that:
⇔ $\frac{a^{x}}{a^{y}}=a^{(x-y)}$
⇔ $\frac{1}{a^{-b}}=a^{b}$

≡ Solution:
⇒ $\frac{4^{2}g^{3}p^{-2}}{4^{5}g^{12}m^{-5}}$
⇒ $[4^{(2-5)}].[g^{(3-12)}].[p^{-2}].[m^{5}]$
⇒ $[4^{-3}].[g^{-9}].[p^{-2}].[m^{5}]$
∴ $\boxed{\frac{1}{64}g^{-9}p^{-2}m^{5}}$ or $\boxed{\frac{m^{5}}{64g^{9}p^{2}}}$

7 0

4 years ago

I need help please..

olganol [36]

Answer:

The are 125:9

Step-by-step explanation:

When we know the scale factor

The lengths are related by the scale factor

The areas are related by the scale factor squared

The volumes are related by the scale factor cubed

Since the scale factor is 5:3

Cube each side

5^3: 3^3

125:9

The are 125:9

6 0

3 years ago

A bottle manufacturing company pays $4,312 a month in utilities, and the average production cost per bottle is $0.65. The revenu

docker41 [41]

Let
x-----------> number of bottles produced in a month

we know that

revenue
B(x) = 4.5x.

expenses
E(x)=0.65x+$4312

equals revenue and expenses
4.5x=0.65x+4312-------> 4.5x-0.65x=4312----------> x=4312/3.85

x=1120 bottles (minimum amount of bottles to start getting monthly benefits )
case a)The company can cut the cost of production per bottle to $0.60.
The revenue function would then be defines as B(x) = 5.5x

Revenue
B(x) = 5.5x.

expenses
E(x)=0.60x+$4312

equals revenue and expenses
5.5x=0.60x+4312-------> 5.5x-0.60x=4312----------> x=4312/4.9

x=880 bottles
case b)The company can cut the cost of production per bottle to $0.55.
The revenue function would then be defines as B(x) = 4.75x

Revenue
B(x) = 4.75x.

expenses
E(x)=0.55x+$4312

equals revenue and expenses
4.75x=0.55x+4312-------> 4.75x-0.55x=4312----------> x=4312/4.2

x=1026.67 bottles
case c) The company can cut the cost of production per bottle to $0.50.The revenue function would then be defines as B(x) = 5x

Revenue
B(x) = 5x.

expenses
E(x)=0.50x+$4312

equals revenue and expenses
5x=0.50x+4312-------> 5x-0.50x=4312----------> x=4312/4.5

x=958.22 bottles

the fewest number of bottles is the case a) 880 bottles

the answer is
the fewest number of bottles is 880 bottles when
The company can cut the cost of production per bottle to $0.60.
The revenue function would then be defines as B(x) = 5.5x

6 0

3 years ago

Whats the axis of symmentry for f(x)=-2(x-2)squared-4

Iteru [2.4K]

f(x)=-2(x-2)squared-4 => f(x)=-2(x-2)^2 - 4 => 2(x^2-4x+4) - 4

This becomes f(x) = 2x^2 - 8x + 8 - 4.

This being a quadratic, a = 2, b = -8 and c = 4.

Theformula for the axis of symmetry is x = -b/(2a). Here, that comes to:

x = -(-8) / (2*2) = 8/4 = 2

The axis of symmetry here is the vertical line x = 2.

3 0

3 years ago

Find each angle measure in the regular polygon

Sergeeva-Olga [200]

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 10, hence

sum = 180° × 8 = 1440°, thus

each angle measure = 1440° ÷ 10 = 144°

7 0

4 years ago