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2 years ago

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There are 84 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/7 of the remaining house

s were sold. How many houses are left to be sold?

1 answer:

noname [10]2 years ago

4 0

There are a total of 16 houses left

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Here is a map of a town.

Gennadij [26K]

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

The ratio of map is 1cm : 4km. So you have to multiply by 4 :

$1cm = 4km \\ 3cm = 4km \times 3 \\ 3cm = 12km$

7 0

3 years ago

Read 2 more answers

Which of the following shows one way to simplify 43Σn=1(3+9n)?

kramer

Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

<h3>How to determine the summation expression?</h3>

The expression is given as:

43Σn=1(3+9n)

As a general rule, if a summation notation is represented using the following expression

Σ(a + bn)

The equivalent expression of the above summation notation is

Σa + bn

Where the variable a is a constant in the expression

This means that:

Σ(a + bn) = Σa + bn

Using the above equation as a guide, we have the following equivalent equation

43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n

Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

Read more about summation notation at:

brainly.com/question/16599038

#SPJ1

6 0

1 year ago

What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?

juin [17]

Answer:

The graph of $y=cos(x)$ is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor $\frac{1}{10}$

*Moves horizontally $\pi$ units to the rigth

The transformation is:

$y=3f(10(x-\pi))$

Step-by-step explanation:

If the function $y=cf(h(x+b))$ represents the transformations made to the graph of $y= f(x)$ then, by definition:

If $0$ then the graph is compressed vertically by a factor c.

If $|c| > 1$ then the graph is stretched vertically by a factor c

If $c$ then the graph is reflected on the x axis.

If $b> 0$ The graph moves horizontally b units to the left

If $b$ The graph moves horizontally b units to the rigth

If $0$ the graph is stretched horizontally by a factor $\frac{1}{h}$

If $h> 1$ the graph is compressed horizontally by a factor $\frac{1}{h}$

In this problem we have the function $y=3cos(10(x-pi))$ and our parent function is $y = cos(x)$

The transformation is:

$y=3f(10(x-\pi))$

Then $c =3>1$ and $b =-\pi < 0$ and $h=10 > 1$

Therefore the graph of $y=cos(x)$ is:

Stretched vertically by a factor of 3.

Also as $h=10$ the graph is compressed horizontally by a factor $\frac{1}{10}$ .

Also, as $b =-\pi < 0$ The graph moves horizontally $\pi$ units to the rigth

6 0

2 years ago

I need help finding the domain and range of the graph shown. I put (infinity, 2) for the domain and it was wrong. I am not sure

Ede4ka [16]

The domain is $[-1,2)$ , while the range is $(0,4]$ .

7 0

3 years ago

Please help me with this! I would really appreciate it.

Law Incorporation [45]

a. -5

b. ?

c. Square root of 31

d. 18

e. ?

f. ?

Sorry I couldn't get them all :(

6 0

3 years ago