Im dumb and said my last thing wrong What is the greatest common factor GCF of 64 and 28

What is the 32nd term of 311, 305, 299

nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

$a_n = a_1 + (n - 1)d$

To find $d$ (the common difference) we can simply subtract one of the terms by the last, for example:

$d = 299 - 305 \\d = -6 \\$

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

$d = 305 - 311\\d = -6$

We also have to know that $a_1$ stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

$a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503$

Good luck!

4 0

3 years ago

Read 2 more answers

2. Penny is 1/16 inch thick and there are now 500,000,000,000 pennies. How many miles high would the stack be? *Use the converte

Ilia_Sergeevich [38]

Answer:

447451 miles

Step-by-step explanation:

a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820

3 0

3 years ago

Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z

dexar [7]

Answer:

The value of the constant C is 0.01 .

Step-by-step explanation:

Given:

Suppose X, Y, and Z are random variables with the joint density function,

$f(x,y,z) = \left \{ {{Ce^{-(0.5x + 0.2y + 0.1z)}; x,y,z\geq0 } \atop {0}; Otherwise} \right.$

The value of constant C can be obtained as:

$\int_x( {\int_y( {\int_z {f(x,y,z)} \, dz }) \, dy }) \, dx = 1$

$\int\limits^\infty_0 ({\int\limits^\infty_0 ({\int\limits^\infty_0 {Ce^{-(0.5x + 0.2y + 0.1z)} } \, dz }) \, dy } )\, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0 {e^{-0.2y }(\int\limits^\infty_0 {e^{-0.1z} } \, dz }) \, dy }) \, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0{e^{-0.2y}([\frac{-e^{-0.1z} }{0.1} ]\limits^\infty__0 }) \, dy }) \, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0 {e^{-0.2y}([\frac{-e^{-0.1(\infty)} }{0.1}+\frac{e^{-0.1(0)} }{0.1} ]) } \, dy }) \, dx = 1$

$C\int\limits^\infty_0 {e^{-0.5x}(\int\limits^\infty_0 {e^{-0.2y}[0+\frac{1}{0.1}] } \, dy }) \, dx =1$

$10C\int\limits^\infty_0 {e^{-0.5x}([\frac{-e^{-0.2y} }{0.2}]^\infty__0 }) \, dx = 1$

$10C\int\limits^\infty_0 {e^{-0.5x}([\frac{-e^{-0.2(\infty)} }{0.2}+\frac{e^{-0.2(0)} }{0.2}] } \, dx = 1$

$10C\int\limits^\infty_0 {e^{-0.5x}[0+\frac{1}{0.2}] } \, dx = 1$

$50C([\frac{-e^{-0.5x} }{0.5}]^\infty__0}) = 1$

$50C[\frac{-e^{-0.5(\infty)} }{0.5} + \frac{-0.5(0)}{0.5}] =1$

$50C[0+\frac{1}{0.5} ] =1$

$100C = 1$ ⇒ $C = \frac{1}{100}$

C = 0.01

3 0

3 years ago

A triangle has side lengths of 12 cm and 35 cm and 37 cm. Classify it as acute, obtuse or right

Lapatulllka [165]

This triangle would be acute none of the angles are greater than or equal to 90.

4 0

3 years ago

Read 2 more answers

Which table of ordered pairs, when plotted, will form a straight line? Select two answers.

lukranit [14]

Answer:

B

Step-by-step explanation:

6 0

3 years ago