I have school in 2 hours and i really need help

Pleaseee helpp im giving a lot of points if corrected

Dafna11 [192]

Answer:

x = 38°

Step-by-step explanation:

Complementary angles = 90°

90° = x + x+14

90° = 2x + 14

104 = 2x

x = 52°

the next angle should be 52 - 14 = 38°

So x = 38°

If my answer is incorrect, pls correct me!

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-Chetan K

3 0

3 years ago

Scientists are studying a bacteria sample. The function f of x equals 256. 1.15 to the x. gives the number of bacteria in the sa

My name is Ann [436]

Answer:

the number of bacteria increases at a rate of 15% each day

Step-by-step explanation:

Given the function :

f(x) = 256(1.15)^x

The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :

f(x) = A(1 + r)^t

A = the initial value of the population, = 256

(1 + r),; r = growth rate

Therefore, to solve for r ;

1 + r = 1.15

r = 1.15 - 1 ; r = 0.15

Hence, growth rate = 0.15 = 0.15 * 100% = 15%

Hence, the number of bacteria increases at a rate of 15% each day

6 0

3 years ago

(4x^2y^3)^2 what’s the answer

nexus9112 [7]

Answer:

4x^4y^6

Step-by-step explanation:

(4x²y³)²=

4x^4y^6

4 0

3 years ago

Read 2 more answers

Please help I don’t know how to do this

mina [271]

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).

Hence, the equation of the line

$\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}$

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be

$\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}$

⇒ y - 5 = 4(x - 1)

⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

Again, equation (2) gives the function in the left side of the given graph which includes the point (1,5) and extends to the left from this point.

Therefore, f(x) = 4x + 1 when x ≤ 1 (Answer)

5 0

4 years ago

Southern Oil Company produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for reg

Contact [7]

Answer:

a) MAX--> PC (R,P) = 0,3R+ 0,5P

b) Optimal solution: 40.000 units of R and 10.000 of PC = $17.000

c) Slack variables: S3=1000, is the unattended demand of P, the others are 0, that means the restrictions are at the limit.

d) Binding Constaints:

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

Step-by-step explanation:

I will solve it using the graphic method:

First, we have to define the variables:

R : Regular Gasoline

P: Premium Gasoline

We also call:

PC: Profit contributions

A: Grade A crude oil

• R--> PC: $0,3 --> 0,3 A

• P--> PC: $0,5 --> 0,6 A

So the ecuation to maximize is:

MAX--> PC (R,P) = 0,3R+ 0,5P

The restrictions would be:

1. 18.000 A availabe (R=0,3 A ; P 0,6 A)

2. 50.000 capacity

3. Demand of P: No more than 20.000

4. Both P and R 0 or more.

Translated to formulas:

Answer d)

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

To know the optimal solution it is better to graph all the restrictions, once you have the graphic, the theory says that the solution is on one of the vertices.

So we define the vertices: (you can see on the graphic, or calculate them with the intersection of the ecuations)

V:(R;P)

• V1: (0;0)

• V2: (0; 20.000)

• V3: (20.000;20.000)

• V4: (40.000; 10.000)

• V5:(50.000;0)

We check each one in the profit ecuation:

MAX--> PC (R,P) = 0,3R+ 0,5P

• V1: 0

• V2: 10.000

• V3: 16.000

• V4: 17.000

• V5: 15.000

As we can see, the optimal solution is

V4: 40.000 units of regular and 10.000 of premium.

To have the slack variables you have to check in each restriction how much you have to add (or substract) to get to de exact (=) result.

3 0

3 years ago