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3 years ago

Which of the following is an arithmetic sequence 1,5,25,625 -4,-7,-10,-13,16 2,5,10,15 3,-3,3,-3,3

Mathematics

1 answer:

ale4655 [162]3 years ago

8 0

Answer:

3,-3,3,-3,3

Step-by-step explanation:

there is too much work brainly wont let me do it all

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Uche pumps gasoline at a rate of 18 L/min <br> what is uche pumping rate in ML/sec?

soldi70 [24.7K]

18L = 18,000 ML
18,000 (ML) ÷ 60 (seconds)
18,000 ÷ 60 = 300ML/sec

6 0

3 years ago

The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.03 inch. Use differentials to approximate

soldi70 [24.7K]

Answer:

a) $V = 33510.322\,in^{3}$ , b) $A_{s} = 5026.548\,in^{2}$ , c) $\% V = 0.450\,\%$ , $\%A_{s} = 0.300\,\%$ .

Step-by-step explanation:

The volume and the surface area of the sphere are, respectively:

$V = \frac{4}{3}\pi \cdot r^{3}$

$A_{s} = 4\pi \cdot r^{2}$

a) The volume of the sphere is:

$V = \frac{4}{3}\pi \cdot (20\,in)^{3}$

$V = 33510.322\,in^{3}$

b) The surface area of the sphere is:

$A_{s} = 4\pi \cdot (20\,in)^{2}$

$A_{s} = 5026.548\,in^{2}$

c) The total differentials for volume and surface area of the sphere are, respectively:

$\Delta V = 4\pi\cdot r^{2}\,\Delta r$

$\Delta V = 4\pi \cdot (20\,in)^{2}\cdot (0.03\,in)$

$\Delta V = 150.796\,in^{3}$

$\Delta A_{s} = 8\pi\cdot r \,\Delta r$

$\Delta A_{s} = 8\pi \cdot (20\,in)\cdot (0.03\,in)$

$\Delta A_{s} = 15.080\,in^{2}$

Relative errors are presented hereafter:

$\%V = \frac{\Delta V}{V}\times 100\%$

$\%V = \frac{150.796 \,in^{3}}{33510.322\,in^{3}}\times 100\,\%$

$\% V = 0.450\,\%$

$\% A_{s} = \frac{\Delta A_{s}}{A_{s}}\times 100\,\%$

$\% A_{s} = \frac{15.080\,in^{2}}{5026.548\,in^{2}}\times 100\,\%$

$\%A_{s} = 0.300\,\%$

4 0

3 years ago

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Aloiza [94]

Answer:

0.70275

Step-by-step explanation:

Data provided in the question:

4e²ˣ⁻¹ -1 = 5

now solving for 'x'

⇒ 4e²ˣ⁻¹ = 5 + 1

⇒ 4e²ˣ⁻¹ = 6

⇒ $e^{(2x-1)} =\frac{6}{4}$

⇒ $e^{(2x-1)} =\frac{3}{2}$

now,

taking natural log both sides, we get

⇒ 2x - 1 = $\ln(\frac{3}{2})$

also,

we know

⇒ $\log(\frac{A}{B}) = \log(A)+\log(B)$

thus,

⇒ 2x - 1 = ln(3) - ln(2)

⇒ 2x - 1 = 1.0986 - 0.6931

⇒ 2x - 1 = 0.4055

⇒ 2x = 0.4055 + 1

⇒ 2x = 1.4055

⇒ x = 0.70275

3 0

3 years ago

Please help me compute standard deviation! Here is the problem, as written.

aleksandr82 [10.1K]

Answer:

The standard deviation for the income of super shoppers is 76.12.

Step-by-step explanation:

The formula to compute the standard deviation for the grouped data probability distribution is:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

Here,

<em>x</em> = midpoints

$\mu=\sum x\cdot P(x)$

Consider the Excel table attached below.

The mean is:

$\mu=\sum x\cdot P(x)=32.3$

Compute the standard deviation as follows:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

$=\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12$

Thus, the standard deviation for the income of super shoppers is 76.12.

3 0

3 years ago

Factor completely 3xy - 3x – 2y + 2

IgorLugansk [536]

Answer:

Step-by-step explanation:

$3xy-3x-2y+2\\(y-1)(3x-2)\\Check\\(y-1)(3x-2)\\Simplify\ and\ we\ get\ our\ question\\(y)(3x)+(y)(-2)+(-1)(3x)+(-1)(-2)\\3xy-2y-3x+2$

珠ɪᴢᴜᴍɪᴿᴬᴳᴱ

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2 years ago