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vladimir1956 [14]

3 years ago

6

A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 j

oules of energy. Set up a calculation to find the number of meters the car travels with this amount of energy. Perform the calculation you set up in part A. Round your answer to the nearest whole number? What is The car will travel ??? meters using 52,700 joules of energy.

2 answers:

Nezavi [6.7K]3 years ago

8 0

Answer: 2858.11 meters

Step-by-step explanation:

to answer this question we have to analyze the information given:

Total energy =52,700 joules

Energy per second = 756 joules

Time = joules / (joules / sec) =52,700/756 =69.71 sec

Now, to find the distance:

Distance = speed rate x time

d = 41 meters/second x 69.71 sec = 2858.11 meters

Feel free to ask for more if needed or if you did not understand something.

slega [8]3 years ago

5 0

Answer:

2,858.07 m

Step-by-step explanation:

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scoray [572]

Answer:

3x + 12

Step-by-step explanation:

5 0

3 years ago

The perimeter of this figure is 70 feet. How long are the unknown sides?

Damm [24]

5+10+10+12+14+7= 58
x= 70-58
x=12 ft

4 0

3 years ago

Read 2 more answers

Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has

UkoKoshka [18]

Answer:

12 packages.

Step-by-step explanation:

Peaceful travel agency offers vacation packages.

Each vacation package include a city, a month and an airline.

The agency has 2 cities, 3 months and 2 airlines to choose from.

Agency can offer the number of different packages = 2 × 3 × 2

5 0

3 years ago

Find S12 for geometric series: (-7.5) + 15 + (-30) + ...

kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

$(-7.5) + 15 + (-30) + ...$

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=-2$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=\left(-7.5\right)$

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=\left(-7.5\right)\left(-2\right)^{n-1}$

$a_n=-\left(-2\right)^{n-1}\cdot \:7.5$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2$

$=\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}$

$=-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=-\frac{-30712.5}{1+2}$ ∵ $\left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5$

$=-\frac{-30712.5}{3}$

$=\frac{30712.5}{3}$

$=10237.5$

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

5 0

3 years ago

The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the areas?

aliya0001 [1]

Answer:

8:7 and 64:49

Step-by-step explanation:

If the widths of two similar rectangles are 16 cm and 14 cm, the ratio of the areas are 8:7 and 64:49.

8 0

3 years ago