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2 years ago

What is the eighth term of the sequence below?

Mathematics

1 answer:

SpyIntel [72]2 years ago

5 0

Answer:

A. 33

Step-by-step explanation:

Add 4 to each number

1. 5 is your first number

2. 5+4= 9 is your second number

3. 9+4= 13 is your third number

4. 13+4= 17 ...

5. 17+4= 21 ...

6. 21+4= 25 ...

7.25+4= 29 ...

8.29+ 4= 33 is your eight number

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Write an equivalent expression for (x-3)(x-2)

Anastaziya [24]

This expression is factored completely. However, if we foil, we can make it to it's original expression.

When you foil, you get:

$x^2-2x-3x+6$

Simplify.

$x^2-5x+6$

6 0

3 years ago

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A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out w

Brut [27]

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

$H(t) = H(0)(1+r)^t$

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that $H(0) = 4$

The tree grew continuously by 22% each year from that point.

This means that $r = 0.22$

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

$H(t) = H(0)(1+r)^t$

$H(t) = 4(1+0.22)^t$

$H(4) = 4(1.22)^t$

$H(4) = 4(1.22)^8 = 19.63$

The height of the tree in 2020 was of 19.63 feet.

6 0

3 years ago

Having a small brain moment, can you please help and show work

ankoles [38]

Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

$0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1$

$0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1$

$x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1$

Next you have to collect like terms :

$x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1$

$\frac{2}{3} x + \frac{41}{120} = 1$

Lastly, you can solve x :

$\frac{2}{3} x = 1 - \frac{41}{120}$

$\frac{2}{3} x = \frac{79}{120}$

$x = \frac{79}{120} \div \frac{2}{3}$

$x = \frac{79}{80}$

$x = 0.9875$

8 0

3 years ago

PLEASE HELP! The formula F = 95C + 32, where C stands for temperature in degrees Celsius, is used to convert Celsius to Fahrenhe

Masteriza [31]

The temperature is 86°F when the temperature is 30°C.

Step-by-step explanation:

Formula for Celsius to Fahrenheit;

F = $F=\frac{9}{5}C+32$

Where C stands for temperature in degrees Celsius.

Given,

Temperature in Celsius = 30 degrees

Temperature in Fahrenheit = $\frac{9}{5}*30+32$

Temperature in Fahrenheit = $9*6+32$

Temperature in Fahrenheit = $54+32 = 86\ degrees\ Fahrenheit$

The temperature is 86°F when the temperature is 30°C.

Keywords: temperature, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

Colin surveyed 12 teachers at school to determine how much each person budgets for lunch. He records his results in the table. W

zmey [24]

Answer:

As mean and median are equal, so the data will be in normal distribution in shape of a symmetrical "bell curve".

Step-by-step explanation:

The given data: 10 5 8 10 12 6 8 10 15 6 12 18

Mean is the simple average of all data. As, there are total 12 data, so the Mean will be: $\frac{10+5+8+10+12+6+8+10+15+6+12+18}{12}= \frac{120}{12}=10$

For finding the Median, first we need to rearrange the data according to the numerical order and then identify the middle value. So........

5 6 6 8 8 10 10 10 12 12 15 18

Here the middle values are 10 and 10. So, the median will be the average of those two middle values.

Thus, Median $=\frac{10+10}{2}=\frac{20}{2}=10$

We can see that, the relationship between the mean and the median is "they are equal". So, the data will be in normal distribution and the shape will be symmetrical "bell curve".

8 0

3 years ago

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