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Answer 1
Answer:

Answer:

40 deg

Step-by-step explanation:

The vertical sides of the rectangle are parallel, so the triangle is a right triangle.

The triangle is a right triangle, so the acute angles are complementary.

The bottom right angle of the triangle measures 90 - 50 = 40 deg.

The bottom line and the top side of the rectangle are parallel, so corresponding angles are congruent. x and the 40-deg angle are corresponding angles, so they are congruent.

x = 40 deg.


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A college professor states that this year's entering students appear to be smarter than entering students from previous years. The college's records indicate that the mean IQ for entering students from earlier years. is 110.3. Suppose we want to sample a smaller number of this year's entering students and carry out a hypothesis test to see if the professor statement can be supported. State the null and alternative hypothesis.
C=amt what does m equal to?
-ax+b=c Solve for x plz hurry
Mark has a batting average of 0.21 what is the probability he has at least 5 hits his next 7 at bats
Test the following numbers for divisibility by 3, 5, 6 and 11. (Do not divide or factorise.) a) 68 979

Consider the series 4+8+16+32+...
What is the common ratio?

Answers

The common ratio is 24 x 2 = 88 x 2 = 1616 x 2 =32
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Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly's current age in terms of Nancy's? Which expression represents Molly's current age in terms of Zander's? Nancy is currently 10 years old, and Zander is 14. How old is Molly?​

Answers

Answer: 1.) 2n 2.) z+6 3.) 20 years old

Step-by-step explanation:

Answer:

answer one: 2n

answer two: z + 6

answer three: 20 years old

Step-by-step explanation:

edge 2020

Write this fraction in the simplest form 15/25

Answers

15/25  Divididing numerator and denominator by 5 we get:

3 / 5


If 15/25 is 0.6 you can then convert it to a 3/5

An isocost line will be shifted further away from the origin:_______. a. if the prices of both inputs increase.
b. if total cost increases.
c. if there is an advance in technology.
d. All of the above are correct.

Answers

An iso-cost line will be shifted further away from the origin'' All of the above are correct".

An iso-cost line will shift either because of a change in total outlay or a change in factor prices.

A change in total outlay will cause a parallel shift in the iso-cost line, as there will be no change in its slope, factor prices being constant.

An iso-cost line will be shifted further away from the origin if the total cost increases if the price of both inputs increases or there is an advance in technology.

An iso-cost line can be defined as the graphical representation of various combinations of two inputs factors (labor, L and capital, K) which the firm can afford or purchase with a given amount of money.

Each iso-cost curve represents a fixed level of costs and the isoquant represents a fixed level of output.

Therefore, tracing a line through these set of points represents what combination of labor and capital will be used for a fixed level of costs or output.

The points further away from the origin represent higher levels of costs or output. An iso-costline can be expressed mathematically as:

C = w L + r K

Where,C = cost of production

w = price of labor or wages

L = units of labor

r = price of capital or interest rate

K =units of capital

Iso-cost is used to determine what combination of factor inputs the firm will choose for the production process.

Hence, An iso-cost line will be shifted further away from the origin'' All of the above are correct".

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Answer:

D. All the above are correct

Step-by-step explanation:

An isocost line will be shifted further away from the origin if the total cost increases, if the price of both inputs increases or there is an advance in technology.

An isocost line can be defined as the graphical representation of various combinations of two inputs factors (labor,L and capital, K) which the firm can afford or purchase with a given amount of money.

An isocost line can be expressed mathematically as:

C = w L + r K

Where,

C = cost of production

w = price of labor or wages

L = units of labor

r = price of capital or interest rate

K =units of capital

Isocost is used to determine what combination of factor inputs the firm will choose for production process.

Which value of x makes this equation true -5(x - 20) = 35

Answers

The value of \(x\) that makes the equation true is \(x = 13\).

To find the value of \(x\) that makes the equation \(-5(x - 20) = 35\) true, you need to simplify the equation and solve for \(x\). Let's break down the steps:

1. **Distribute the -5 on the left side:**

\[-5(x - 20) = 35\]

\[-5x + 100 = 35\]

2. **Move the constant term (100) to the right side by subtracting 100 from both sides:**

\[-5x = -65\]

3. **Finally, divide both sides by -5 to solve for \(x\):**

\[x = (-65)/(-5)\]

\[x = 13\]

To verify, substitute \(x = 13\) back into the original equation:

\[-5(13 - 20) = 35\]

\[-5(-7) = 35\]

\[35 = 35\]

The equation is true when \(x = 13\).

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Answer:

x=13

Step-by-step explanation:

Divide both sides by -5 then solve the equation for x

Suppose that dP/dt = 0.19P(t) represents a mathematical model for the growth of a certain cell culture, where P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing at the time t when the size of the culture reaches 2 million cells?

Answers

Answer: 380000 cells/hour

Step-by-step explanation:

Given that dP/dt = 0.19P(t)

where

P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).

The formula above represents a mathematical model for the growth of a certain cell culture. In essence, it represents the time rate of the growth of the cell culture, that is how fast the cell culture is growing.

Therefore, when P = 2 million cells:

dP/dt = 0.19 * 2000000 = 380000 cells/hour

Hence, the cell culture is growing at 380000 cells per hour.

Final answer:

The cell culture is growing at a rate of 0.38 million cells per hour when the size of the culture reaches 2 million cells. This is based on the given differential equation dP/dt = 0.19P(t).

Explanation:

This problem is associated with the concept of differential equations, particularly exponential growth. In this scenario, the rate of change of P(t), the size of the cell culture, is given by the equation dP/dt = 0.19P(t). This can be interpreted as the culture is growing at 19% per unit of time.

To determine how fast the culture is growing when P(t) equals 2 million cells, we need to substitute 2 for P(t) in the given equation: dP/dt = 0.19*2. This calculation returns a value of 0.38 million cells per hour. Therefore, when the size of the culture reaches 2 million cells, it is growing at a rate of 0.38 million cells per hour.

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