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3 years ago

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On Tuesday, you sold $2,889.32 in Regular gas; on Wednesday, you sold $2,996.42, and on Thursday, you sold $3,435.53. If the pri

ce of Regular gas was (to the nearest penny) $1.19 per gallon all week, how many gallons did you sell?

1 answer:

jok3333 [9.3K]3 years ago

3 0

7833 gallons. add all three days and divide by the price

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Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the

rodikova [14]

Answer:

A

Step-by-step explanation:

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3 years ago

segment BC is an are of a circle with radius 30.0 cm, and point P is at the center of curvature of the arc Segment DA is an arc

Elan Coil [88]

Answer:

The magnetic field is $B = 3.87 *10^{-6} \ T$

Direction is inward

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that

The radius of BC is $r_{BC} = 30 \ cm = 0.30 \ m$

The radius of DA is $r _{DA} = 20 \ cm = 0.20 \ m$

The length of CD is $r_{CD} = 10 cm = 0.1 \ m$

The length of AB is $r_{AB} = 10 cm = 0.1 \ m$

The current is $I = 11.4A$

The magnetic field is mathematically represented as

$B = B_{BC} + B_{DA} + B_{CD} + B_{AB}$

$B = \frac{\mu_o I}{4 \pi } [ \frac{\theta_{DA}}{r_{DA}} + \frac{\theta_{BC}}{r_{BC}}+ \frac{\theta_{CD}}{r_{CD}}+\frac{\theta_{AB}}{r_{AB}}]$

Where

$\theta_{BC} = \theta_{DA} = \frac{2\pi}{3}$

Where $\frac{2 \pi}{3} = 120^o$

$\theta_{CD} = \theta_{AB} = 0^o$

so

$B = \frac{\mu_o I}{4 \pi } [ \frac{\frac{2\pi}{3} }{0.20} - \frac{\frac{2\pi}{3}}{0.30}}+ \frac{0}{0.10}+\frac{0}{0.10}]$

$B = 3.87 *10^{-6} \ T$

The direction is into the page

This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward

This is because according to Fleming's Left Hand Rule the direction of current is perpendicular to the direction of magnetic field so since current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction

3 0

3 years ago

Solve1 over 25 = 5^x ^+ 4. <br> x = -7/2<br> x = −6 <br> x = 9/2 <br> x = 2

Basile [38]

The equation seems to be

   1
-------- = 5 ^ (x + 4)
25

In that case, this is the solution, stept by step:

1) factor 25: 25 = 5^2

      1
=> ----------- = 5^(x + 4)
       5^2

2) invert 5^2

=> 5^(-2) = 5^(x+4)

3) Given that the bases are equal, the exponents also have to be equal:

=> - 2 = x + 4

3) transpose +4:

=> - 2 - 4 = x

=> x = - 6

Answer: - 6

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3 years ago

1/4 of the seventh grade students went on a field trip to the Alamo. If there a 388 students in the seventh grade, how many stud

Afina-wow [57]

Answer: 97 students

Step-by-step explanation:

Simple! We need to split 388 into four equal parts, so

388 / 4 = 97

Hope this helps!

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3 years ago

Find the first five terms of the sequence given the following recursive formula:

forsale [732]

Answer:

The first five terms are;

-3,-7,11,-29,69

Step-by-step explanation:

The recursive definition of the sequence is

$a_1=-3,$ , $a_2=-7$ and $a_n=a_{n-2}-2a_{n-1}$ .

When n=3, we obtain;

$a_3=a_{3-2}-2a_{3-1}$ .

$\implies a_3=a_{1}-2a_{2}$ .

$\implies a_3=-3-2(-7)$ .

$\implies a_3=11$ .

When n=4

$\implies a_4=a_{2}-2a_{3}$ .

$\implies a_4=-7-2(11)=-29$ .

When n=5

$\implies a_5=a_{3}-2a_{4}$ .

$\implies a_4=11-2(-29)=69$ .

Therefore the first five terms are;

-3,-7,11,-29,69

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3 years ago