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2 years ago

1. FOOTBALL One football season, the Carolina

Mathematics

1 answer:

Sophie [7]2 years ago

7 0

For this case we have the following equation:

$y = x + 4$

By definition, the standard form of a linear function is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

So, if we have: $y = x + 4$

Its standard form is: $y = (1) x + 4$ which is equivalent to $y = x + 4$

$m = 1\\b = 4$

Answer:

Its standard form is $y = x + 4$

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Since there are 5,280 feet in one mile and 3.3 feet in one meter, how many meters per second are equivalent to 60 miles per hour

svlad2 [7]

Given:
1 mile = 5280 feet
1 meter = 3.3 feet

convert 60 miles per hour to meters per second

60 miles to meters

60 miles x 5280ft x 1meter = (60*5280m)/3.3 = 316800m/3.3
1 mile 3.3ft
= 96,000 meters

1 hour to seconds

1 hour x 60 minutes x 60 seconds = 1 * 60 * 60sec = 3600 seconds
1 hour 1 minute

unit rate: meters per second

96000 meters ÷ 3600 seconds = 26 2400/3600
simplify 26 2400/3600 ⇒ 26 2/3 meters per second

2400 ÷ 1200 = 2
3600 ÷ 1200 = 3

5 0

2 years ago

The second term in a geometric series is 10, and the seventh term is 10,240. Find the sum of the first six terms.

just olya [345]

Answer:

The sum of the first 6 terms is 3,412.5.

Step-by-step explanation:

The second term of the geometric series is given by:

$a_{2}=a_{1}*r$

Where a1 is the first term and r is the common ratio. The seventh term can be written as a function of the second term as follows:

$a_{7}=a_{1}*r^{6} \\a_{7}=a_{2}*r^{5} \\10,240 = 10*r^{5}\\r=\sqrt[5]{1024} \\r = 4$

The sum of "n" terms of a geometric series is given by:

$a_{1} = \frac{10}{4} = 2.5\\S_{n}=a_{1}(\frac{r^{n}-1 }{r-1})\\S_{6}=2.5(\frac{4^{6}-1 }{4-1})\\S_{6}=3,412.5$

The sum of the first 6 terms is 3,412.5.

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2 years ago

How many lines of symmetry does a triangle have?

lora16 [44]

It has three lines of symmetry.

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2 years ago

Solve the inequality and graph the solution on the line provided. 8x-11>-27

andrezito [222]

Answer:

x>-2

on a number line you would put a circle on -2 and draw a line going to the right since x is greater than -2

Step-by-step explanation:

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2 years ago

The population of Rwanda in 2016 was about 11.8 million. The population tends to increase by about 2% per year. Which equation d

natita [175]

Answer:

B - P=11.8(1.02)^t

Step-by-step explanation:

An exponential function is defined as:

$y=ab^{x}$ .

Recall, a is the starting value, b is the rate, and x is the input (often time).

We will substitute a=11.8 million, b=1.02, and x=t for years. Notice b=1.02 and not 0.02. Because the population is increasing, we multiply by 1+r to add the growth onto the current population.

We write: $y=11.8(1.02)^{t}$ where y is population in millions.

5 0

2 years ago