Which graph represents (x + 5)2 + (y – 2)2 ≥ 9?

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer:

Step-by-step explanation:

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Which sequence are geometric? Check all that apply

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Answer:

Step-by-step explanation:

$\text{If}\ a,\ b,\ c,\ d,\ e,\ ...\ \text{is a geometric sequence, then}\ \dfrac{b}{a}=\dfrac{c}{b}=\dfrac{d}{c}=\dfrac{e}{d}=....\\\\\#1\\\\\dfrac{7.5}{10}=0.75\\\dfrac{5.625}{7.5}=0.75\\\dfrac{4.21875}{5.625}=0.75\\\boxed{YES}\\================================\\$

$\#2\\\\\dfrac{40}{160}=\dfrac{1}{4}\\\dfrac{10}{40}=\dfrac{1}{4}\\\dfrac{2.5}{10}=\dfrac{1}{4}\\\boxed{YES}\\================================\\$

$\#3\\\\\dfrac{70}{20}=3.5\\\dfrac{245}{70}=3.5\\\dfrac{857.5}{245}=3.5\\\boxed{YES}\\================================\\$

$\#4\\\\\dfrac{16.5}{13}=\dfrac{165}{130}=\dfrac{33}{26}\\\dfrac{20}{16.5}=\dfrac{200}{165}=\dfrac{40}{33}\neq\dfrac{33}{26}\\\boxed{NO}\\================================\\$

$\#5\\\\\dfrac{5.5}{5}=1.1\\\dfrac{6.05}{5.5}=1.1\\\dfrac{6.655}{6.05}=1.1\\\boxed{YES}\\================================\\$

$\#6\\\\\dfrac{17.1}{16}=1.06875\\\dfrac{18.2}{17.1}=1.0643274..\neq1.06875\\\boxed{NO}$

5 0

3 years ago

Juarez Distribution Company conducted a time study of Martha Smith’s job as an installer. Using the observation chart, find her

Alex777 [14]

Average time on task 1 = $\frac{3.4+4.1+6.5+8.1}{4}=5.5$ seconds
Average time on task 2 = $\frac{3.5+4.3+6.8+8.3}{4}=5.7$ seconds
Average time on task 3 = $\frac{4.3+4.1+6.5+7.9}{4}=5.7$ seconds
Average time on task 4 = $\frac{2.9+4.6+6.6+7.1}{4} =5.3$ seconds
Average time on task 5 = $\frac{3.6+4.2+6.7+8.1}{4}=5.65$ seconds