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3 years ago

How many possibilities are there for a license plate with 3 letters and 3 numbers?

1 answer:

8 0

The total number of arrangements of three letters followed by three digits is then the product of the number of options available at each step and is then 26⋅26⋅26⋅10⋅10⋅10=263⋅103 hope this helps!! also don’t open the link the other person posted, it’s a virus

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A rectangle with a length of x+5 has a perimeter of 4x+ 14. What is the width of the rectangle?

Rainbow [258]

What i put before is wrong sorrI

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3 years ago

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The volume, V, of a right cone varies jointly with the square of the radius of the base, r, and the height, h. When r = 6 and h

Sveta_85 [38]

Answer:

V=πr^2(h/3)

Step-by-step explanation:

V=π6^2(8/3)

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3 years ago

(2z + 1)(2) = <br> Answer this please

djverab [1.8K]

Answer:

4z+2

Step-by-step explanation:

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3 years ago

What is 57.82 ÷ 0.784 (show ur work)

faltersainse [42]

Answer:

73.75

Step-by-step explanation:

$\frac{57.82}{0.784}$
Multiply numerator and denominator by 1000:

$\frac{57820}{784}$

Divide 57820 by 784 to get 7
Now divide 2940 by 784 to get 3

Now divide 5880 by 784 to get 7

Now divide 3920 by 784 to get 5

The solution of the long division is :

73.75

8 0

2 years ago

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Darina [25.2K]

Answer:

Given definite integral as a limit of Riemann sums is:

$\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Step-by-step explanation:

Given definite integral is:

$\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}$

Substituting (2) in above

$f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Riemann sum is:

$= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

4 0

3 years ago