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10 days ago

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Mathematics

1 answer:

Svet_ta [4.3K]10 days ago

7 0

Response:

9/13

Detailed explanation:

Calculating rise: y₂ - y₁ = -1 - (-10) = -1 + 10 = 9

Calculating run: x₂ - x₁ = 9 - (-4) = 9 + 4 = 13

Detailed explanation:

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The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent. If world population w

tester [3938]

Answer:

Step-by-step explanation:

The world population currently is rising at a yearly rate of 1.35 percent. The nature of the growth is exponential. We will use the exponential growth formula, expressed as

A = P(1 + r)^t

Where:

A indicates the population after t years.

t symbolizes the number of years.

P is the initial population count.

r signifies the growth rate.

<pFrom the given data,

P = 6.1 × 10^9

r = 1.35% = 1.35/100 = 0.0135

t = 1

Hence,

A = 6.1 × 10^9(1 + 0.0135)^1

A = 6.1 × 10^9(1.0135)^1

A = 6182350000

The total number of people added would be

6182350000 - 6100000000

= 82350000

3 0

12 days ago

The graphs below have the same shape. The equation of the blue graph is f(x)=x^2. Which of these is the equation of the red grap

tester [3938]

We observe that
the vertex of f(x) is located at the point (0,0)
and
the vertex of g(x) is situated at (0,5)

thus,
(x,y) in f(x) becomes -------> (x,y+5) in g(x)
g(x)---------> f(x)+5

g(x)=x²+5

the answer is
g(x)=x²+5

4 0

9 days ago

Students have organized

tester [3938]

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours, Elijah will fall behind Mercedes

Part C. In over 2.5 hours, Elijah will lead Aubrey

Step-by-step explanation:

D = distance

v = speed

t = time

Formula connecting D, v, and t:

$D=v\cdot t$

Part A.

Steve's speed: $v=3.5\ mph$

Distance: a minimum of 21 miles

Time: unknown, so

$3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6$

It would require Steve a minimum of 6 hours to traverse at least 21 miles on Day 1.

Part B.

Mercedes's speed: $v_M=2.4\ mph$

Elijah's speed: $v_E=3.2\ mph$

Elijah's Distance walked: $D_E$ miles

Mercedes's Distance walked: $D_M$ miles

Time: x hours

Mercedes is 2 miles ahead, therefore

$D_E=3.2x\\ \\D_M=2.4x+2$

Elijah will trail behind until

$D_E$

In 2.5 hours, Elijah will close the gap on Mercedes, and in less than 2.5 hours, Elijah will trail behind her.

Part C.

Aubrey's speed: $v_M=3\ mph$

Elijah's speed: $v_E=3.2\ mph$

Elijah's Distance walked: $D_E$ miles

Aubrey's Distance walked: $D_A$ miles

Time: x hours

At the beginning of Day 3, Elijah starts from Mile 42, while Aubrey begins at Mile 42.5.

$D_E=42+3.2x\\ \\D_A=42.5+3x$

Elijah will be ahead of Aubrey when

$D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours$

In 2.5 hours, Elijah will surpass Aubrey, and after more than 2.5 hours, Elijah will outpace Aubrey.

4 0

11 days ago

Tim answered all the questions on his math test but got 101010 answers wrong. He received 444 points for every correct answer, a

zzz [4035]

A)
4(q - 10) = 76..... Tim earned 4 points for each correct answer, totaling 76 points. He got 10 answers right less than the total number of questions on the test.

b)
q = 10 + 76/4
q = 29

Thus, the overall number of questions on Tim's math test amounted to 29.

4 0

7 days ago

Read 2 more answers

A 5 1/2 quart pot is filled 2/3 of the way with water. How many more quarts of water can the pot hold?

Inessa [3926]

The pot has the capability to hold 1/3 more than its current level. Therefore, 1/3 of 5 1/2 quarts equals:

(1/3)(11/2) = 11/6 quarts. Thus, the total capacity of the pot is 11/6 quarts.

8 0

7 days ago

Read 2 more answers