What is the slope of the function?

Answer: Gold mining can contaminate drinking water and destroy pristine environments, endangering the health of people and ecosystems.

Thus the answer is d

Step-by-step explanation:

Given:

Decay rate: 1.5% per year = -0.015

To find:

The half life.

Solution:

The continuous exponential decay function is

\(A(t)=Ae^{-kt}\)

where, a is initial value, -k is decay rate and t is time period.

For half life, \(A(t)=\dfrac{A}{2}\),

\(\dfrac{A}{2}=Ae^{-0.015t}\)

Dividing both sides by A.

\(\dfrac{1}{2}=e^{-0.015t}\)

Taking natural log on both sides.

\(\ln \dfrac{1}{2}=\ln e^{-0.015t}\)

\(-0.69314718=-0.015t\)

Divide both sides by -0.015.

\(\dfrac{-0.69314718}{-0.015}=t\)

\(46.209812 =t\)

\(t\approx 46\)

Therefore, the half life is 46 years.

Answer:

249798.8

Hope this helps! <3

The coordinates after transformation as

(-2, 6)

(-2, 8)

(-3, 8)

(-6, 6)

We have the figure F whose coordinates are:

(3,4)  (3,6)  (5,6)  (7,4)

and, This rule (x, y) → (-x+1, y + 2) is used for the transformation.

So, the coordinates after transformation as

(3, 4) = (-3+1, 4+2)= (-2, 6)

(3, 6) = (-3 + 1, 6+2) = (-2, 8)

(4, 6) = (-4+1 , 6 +2) = (-3, 8)

(7, 4) = (-7+1, 4+2) = (-6, 6)

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Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

Answer:

hvhj

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

−(−4)2 + 2(−4)

(4)2 + 2(-4)

8 - 8 = 0

I hope this helps!

Answer:

y = (2/3)x - 3

Step-by-step explanation:

Slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept.

The point is given to you. Note that:

(x , y) = (0 , -3) ∴

x = 0

y = -3

The slope = m = 2/3

Plug in the corresponding numbers to the corresponding variable:

y = mx + b

-3 = (2/3)(0) + b

-3 = 0 + b

b = -3

Plug in -3 for b in the equation:

y = mx + b

y = (2/3)x -3

y = (2/3)x - 3 is your equation.

~

Answer:

936 quarts

Step-by-step explanation:

\(n=24*39=936quarts\)

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

  C  2.35 x 10¹¹

Step-by-step explanation:

You want the number 235,000,000,000 written in scientific notation.

The exponent of 10 when a number is written in scientific notation is the same as the exponent of 10 for the most significant digit when the number is written in expanded form using exponents.

  235,000,000,000 = 2×10¹¹ +3×10¹⁰ +5×10⁹ +0×10⁸ +... +0

The place value multiplier for the most-significant digit is 10¹¹, so this is the multiplier when the number is written in scientific notation.

  2.35×10¹¹

Answer:

The probability that the pizza delivery takes more than 30 minutes is 61.53%.

Step-by-step explanation:

To determine the percentage of probability that the pizza will take more than 30 minutes to be delivered, knowing that the delivery delay time is evenly distributed between 10 and 75 minutes, the following calculation must be performed:

75 - 10 = 65

100/65 = 1.53

30 - 10 = 20

65 - 20 = 40

40 x 1.53 = 61.53

Therefore, the probability that the pizza delivery takes more than 30 minutes is 61.53%.

Answer:

0.6923

Step-by-step explanation:

we have to find P(X>45)

uniform distribution formula is P(X>A) = (b-A)/(b-a)

we have A = 30, a = 10 and b =75

P(X>45) = (75-30)/(75-10) = 45/65

P(X>45) =  0.6923

Answer:

C

Step-by-step explanation:

The best answer is C: 30 minutes per day, 5 days a week.According to the World Health Organization (WHO), adults should engage in at least 150 minutes of moderate-intensity aerobic physical activity or 75 minutes of vigorous-intensity aerobic physical activity throughout the week, which can be achieved through 30 minutes of moderate-intensity activity, 5 days a week. This amount of physical activity has been shown to have significant health benefits, including reducing the risk of non-communicable diseases, improving mental health and well-being, and increasing lifespan. Additionally, this amount of physical activity can be achieved through a variety of activities, including brisk walking, cycling, swimming, or playing sports.

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Answer:

  On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5)

Step-by-step explanation:

The distinction between "straight line" and "blue diamonds" is that the straight line represents the relation for all possible values of x. The blue diamonds show the values of y for very specific values of x.

Since x is the amount of rice from a bulk bin, we assume it can take any non-negative value. Hence, the graphs with negative values or with "blue diamonds" are not appropriate.

The straight-line graph in the first quadrant is the best choice.

Answer:

The answer is graph 1

Step-by-step explanation:

On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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For the linear function y = 0.5x. three ordered pairs are given as follows:

Using points (-2,-1) and (2,1), the graph of the function is given at the end of the problem.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the function is:

y = 0.5x.

Hence three pairs of points are given as follows, replacing the value of x in the equation to find y.

The graph of the function is given at the end of the answer.

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Answer:

x²+4x+3

Step-by-step explanation:

(x+1)(x+3)

x²+3x+1x+3

x²+4x+3

The grams of cocoa does it contains is 36.57 grams

From the question, we have the following parameters that can be used in our computation:

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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The measure is between 33.0 and 33.1, then there are (33.0 + 33.1)/2 =

33.05 grams

The answer to the question is

D)  ($9. 60, $9. 84)

The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.

Hence,

The number of possible "Sizes" from the specified 4 sizes are ⁴C₁

The number of sorts of bun that is possible from the specified two bun types is:  ²C₁

From the four sides, the number of possible side purchases is:  ⁴C₁

Of the available four drinks, the number of the possible drinks is: ⁴C₁

Now the possible number of all lunches are:

⁴C₁ x  ²C₁ x  ⁴C₁ x  ⁴C₁

= 4 x 2 x 4 x 4

= 128

Hence the number of Kid's Lunches that are possible are 128.

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4Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Get mileage per gallon by dividing miles traveled by gallons used

\(\frac{125}{5} = 25 mpg\\\)

2. Divide miles you want to travel by the mileage per gallon you got on the first step

\(\frac{400}{25} = 16 gallons\)

Answer:

Standard Form:

2√ 73

Decimal form:

17.08800749...

Step-by-step explanation:

Answer:

The answer is -3t>-24 which equals t<8

Step-by-step explanation:

An inequality for the time t before the temperature reaches the freezing point is -3t>-24.

Given that, Will is testing the freezing point of a substance, which should be −24 ∘C.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

He is changing the temperature at a rate of -3°C per minute, starting at 0°C.

Let t be time temperature reaches the freezing point.

Now, -3t>-24

Divide -3 on both the side of an inequality, we get

t<8

Therefore, an inequality for the time t before the temperature reaches the freezing point is -3t>-24.

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Answer:

total = 2.8 + 3x

x is the price of the candy bars

Answer:

You have been directed to trim $10,000 from the monthly warehouse

told that you cannot reduce the costs for HVAC, refrigeration, and ligh

expense must be cut significantly?

A. Water

B. Copiers

C. Computers

D. Lights

Answer:

perpendicular lines

Step-by-step explanation:

Answer:

c = 4

Step-by-step explanation:

if (x - a) is a factor , that is divisible by, of f(x) then f(a) = 0

then for p(x) to be divisible by (x - 1) , p(1) = 0

then

2\((1)^{4}\) - 5(1)² + c(1) - 1 = 0

2 - 5 + c - 1 = 0

- 4 + c = 0 ( add 4 to both sides )

c = 4