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3 years ago

A piece of cardboard is 24 centimeters long and 15 centimeters wide. What is the area?

Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

$24*15=

360$

360 square centimeters

Jet001 [13]3 years ago

7 0

24 x 15 = 360 Length x width

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Which if the following is not a transformation for y=-(x+2)^2 -2?

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3 years ago

The students in Camille's grade voted to select a guest speaker. 65% of the students voted for a famous athlete. If there are 60

GrogVix [38]

Answer:

39 students

Step-by-step explanation:

In order to solve this you need to first set up a proportion with x equaling the number of students who voted for the athlete, 65/100 = x/60. 65/100 represents 65% and it is equal to a certain number of students out of 60. To solve for x you need to cross multiply so you would have 100x=65(60), simplified this would be 100x=3900, then you divide both sides by 100 to get x over 39. So, 39 students voted for the athlete.

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3 years ago

Solve for y <br>5x-2v=15<br><br>*please help!!

lakkis [162]

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3 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

3 0

3 years ago

Read 2 more answers

How do you find the constant rate of change

Anon25 [30]

Rate of change = $\frac{y2 - y1}{x2 - x1}$
So grab 2 Y's first and then subtract
7 - 3 = 4
and do the same for X
4 - 2 = 2
Simplify
4/2 = 2
2 is your rate of change

8 0

3 years ago