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3 years ago

I have Ben working on this same question for about 10 minutes. I could really use some help please.

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

8 0

Answer:

Step-by-step explanation:

$a_{1}=4,\\a_{n}=\frac {1}{3} a^{n-1}\\r=\frac{a_{n}}{a_{n-1}} =\frac{1}{3}\\explicit~rule~is\\\\a_{n}=a_{1}r^{n-1}\\a_{n}=4(\frac{1}{3})^{n-1}$

Anika [276]3 years ago

7 0

Step-by-step explanation:

Every next term is 1/3 times of the previous term. The first term is 4.

Hence the rule is An = 4 * (1/3)^(n-1).

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Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5

myrzilka [38]

Answer:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}\ of\ \frac{3}{5}$

Solving (a): Multiplication sentence

$\frac{2}{3}\ of\ \frac{3}{5}$

Rewrite of as *

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}$

Solve

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Hence, the multiplication sentence is:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

Draw a rectangle
Partition in to 5 equal parts (5 represents the denominator)
Shade 2 of the 5 partitions (2 represents the numerator)

See attachment for model

5 0

3 years ago

Calculate the perimeter of this shape.

aleksandrvk [35]

Step-by-step explanation:

Hello there!

Again, just double the given sides.

20+38=58 cm

8 0

3 years ago

Tom painted 3/5 of his bedroom on Monday and 1/10 of his bedroom on Tuesday. How much does he have left to finish?

guajiro [1.7K]

Answer:

3/10

Step-by-step explanation:

3/5 + 1/10

3/5 = 6/10

6/10 + 1/10 = 7/10 = total bedroom space he painted

10/10 - 7/10 = 3/10 = how much space is left

Answer = 3/10

5 0

3 years ago

Read 2 more answers

Please help asap I genuinely cannot figure this out

Gemiola [76]

Answer:

Step-by-step explanation:

We can use the factored form of the quadratic equation, given by:

$y=a(x-p)(x-q)$

Where a is the leading coefficient and p and q are the zeros.

We have zeros x = -2 and x = 3. So, let p = -2 and q = 3:

$y=a(x+2)(x-3)$

Next, we are given that our y-intercept is (0, -30).

In other words, when x = 0, y = -30. So:

$-30=a(0+2)(0-3)$

Solve for a:

$-30=-6a\Rightarrow a=5$

Hence, our factored equation is:

$\displaystyle y=5(x+2)(x-3)$

For the standard form, expand:

$y=5(x^2-3x+2x-6)$

Simplify:

$y=5(x^2-x-6)$

Distribute:

$y=5x^2-5x-30$

Our answer is C.

4 0

3 years ago

Read 2 more answers

Population of a town is 30,000 represents increase of 40% from five years ago. find the population

erma4kov [3.2K]

Well 50% of 30,000 is 15,000
So 10% is 3,000
15,000 - 3,000 = 12,000

So 40% increase is 42,000

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3 years ago