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3 years ago

Write the expression using exponents.

Mathematics

1 answer:

pogonyaev3 years ago

4 0

Answer:

6v^5

Step-by-step explanation:

you would leave the 6 alone. since there is 5 of the same variable, you would put 5 as your exponent

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3 years ago

HURRY <br> 1/12 is the same as 1÷12. What is the exact quotient in decimal form of 1÷12?

Nuetrik [128]

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Step-by-step explanation:

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3 years ago

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A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are

hodyreva [135]

Answer: This kind of advertising is accurate.

Step-by-step explanation:

Since we have given that

Cost of their most popular meals are as follows:

$\$7,\$8,\$8,\$12,\$13,\$15,\$17,\$18,\ and\ \$20$

As we have given that the mode cost of their most popular meals is $8.

As we know that "Mode" refers to the most occurring number that we can found in the data.

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3 years ago

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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

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Find the value of y in the solution to the system of equations shown.<br> y= 12x+7<br> y=-6x+25

padilas [110]

Answer: The required value of y is 19.

Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

$y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Comparing equations (i) and (ii), we get

$12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.$

From equation (i), we get

$y=12\times1+7=12+7=19.$

Thus, the required value of y is 19.

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4 years ago

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