If the resistance in an electrical cirouit is
held constant, the amount of current
flowing through the circuit is directly
proportional to the amount of voltage
applied to the circuit. When 12v are applied
to a circuit, 240 mA of orrent flow
through the circuit. Find the new current if
the voltage is increased to 14 volts.

Answer:

Now how did I get the translation rule (x + 1, y + 3). Well basically, I did this :-

-4 - (-5) = 1

12 - 9 = 3

Now let us plug it in the translation rule to see if I get (-4, 12).

(x + 1, y + 3)

(-5 + 1, 9 + 3)

(-4, 12)

I get the same answer given in the problem. Hope this helps, thank you !!

Answer:

y= 4x − 7 or 0=0

Step-by-step explanation:

4x−y+−4x=7+−4x

Answer:

n = 64

Step-by-step explanation:

3/4n - 8 = 5/8n

-8 = 5/8n - 6/8n

-8 = -1/8n

-n = -64

n = 64

The unknown number is 64.

Important information:

[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].

Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].

[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].

Using the given information form a linear equation.

[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]

Now, solve the equation.

[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]

[tex]\dfrac{6n-5n}{8}=8[/tex]

[tex]\dfrac{n}{8}=8[/tex]

Multiply both sides by 8.

[tex]n=64[/tex]

Therefore, the unknown number is 64.

Find out more about 'Linear Equation' here:

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Answer:

1537500

Step-by-step explanation:

it should be that. all you do is multiply 615000 by 2.5

Answer:

5

Step-by-step explanation:

Answer:

A or C

Step-by-step explanation:

Answer:

2 1/2 pounds

Step-by-step explanation:

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step by step.

Step 1: Simplify both sides of the equation.

−4(2y−4)−4y=4

(−4)(2y)+(−4)(−4)+−4y=4(Distribute)

−8y+16+−4y=4

(−8y+−4y)+(16)=4(Combine Like Terms)

−12y+16=4

−12y+16=4

Step 2: Subtract 16 from both sides.

−12y+16−16=4−16

−12y=−12

Step 3: Divide both sides by -12.

y=1

Answer:

6433333356789

Step-by-step explanation:

Answer:

the poounds is of number

Step-by-step explanation:

welcome to branly

461+1=462

462÷7=66

Your answer is 461

Answer:

461

Step-by-step explanation:

Work backwards.

7 X 66=462

462-1=461

So 461 is the answer

Answer: 1200 milliliters.

Step-by-step explanation: 1 liter has 100 milliliters of milk in it. So you have to multiply 1.2 by 100 to get 1200.

Answer:

60

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

We know that graph (B) models the solution of the given inequality -6 ≤ -3x.

So, in the given inequality:

We know that:

Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.

Know more about graphs here:

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#SPJ2

Answer:

$33

Step-by-step explanation:

A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?

Let us represent, the amount of money he had at the start= x

Money after the first race=2x

Money he had after betting=2x-33

Money after the second race=3x

Money he had after betting on the third race=3x-60

Money after the race=4x

Money he had after betting on the fourth race=4x-68

Money after the race=$64

4x-68=64

4x=68+ 64

4x = 132

x=132/4

x = 33

Therefore, he had $33 at the start

Answer:

1 AND 4/19

Step-by-step explanation:

2/3=3/5

lcm=15

10/15+9/15=19/15= 1 AND 4/19

Answer:

I think it is 15 Tan^-1 (5÷18)

Answer:

X=10

Step-by-step explanation:

Answer:

Well to start you already know the sandwich cost 5.25 and the total sales tax .92.

To find the cost of each drink

5.25 x 2= 10.50

10.50+.92=11.42

17.00-11.42= 5.58

5.58/3= 1.86

So the cost per Drink is $1.86

Step-by-step explanation:

Hope this helped!

The answer would be 18.8

Answer:

a.)x² + y² = 900

b.)y = √900 - x²

Step-by-step explanation:

P.S - The exact equation is as follows :

As given,

The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.

a.)

Equation of circle be x² + y² = r²

As given , leg of the roller coaster is 30 feet above the ground.

⇒ r = 30

⇒x² + y² = 30²

⇒x² + y² = 900

∴ we get

Equation of height of Roller coaster - x² + y² = 900

b.)

As we have,  x² + y² = 900

⇒y² = 900 - x²

⇒y = √900 - x²

The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]

The general equation of a circle is:

[tex]x^2 + y^2 = r^2[/tex]

From the complete question, the radius of the circle is 30 units.

This means that:

r = 30

So, we have:

[tex]x^2 + y^2 = 30^2[/tex]

Express 30^2 as 900

[tex]x^2 + y^2 = 900[/tex]

Subtract x^2 from both sides

[tex]y^2 = 900 -x^2[/tex]

Take square roots of both sides

[tex]y = \pm \sqrt{900 -x^2[/tex]

Remove the negative root

This is so because the roller coaster is above the ground, and the height will be positive.

So, we have:

[tex]y = \sqrt{900 -x^2[/tex]

Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]

Read more about equations of circle at:

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Answer:

Exact Form:

32/5

Decimal Form:

6.4

Mixed Number Form:

6 2/5

Step-by-step explanation:

your gonna wanna if possible cancel the common factors.

Answer: The reading would be 5.5 on the Richter scale.

Step-by-step explanation:

The intensity of an earthquake that measures 4.5 on the Ritcher scale can be found by solving:

4.5 = log₁₀(x)

for x.

remember that:

logₐ(x) = ln(x)/ln(a)

Then we can rewrite our equation as:

4.5 = ln(x)/ln(10)

4.5*ln(10) = ln(x)

we also know that:

ln(exp(x)) = exp(ln(x)) = x

Then we can apply the exponential equation to both sides to get:

exp( 4.5*ln(10)) = exp( ln(x) ) = x

exp( 4.5*ln(10)) = x

x = 31,622.8

Now, if we have an intensity 10 times larger than this, we will have:

x = 10*31,622.8 = 316,228

The reading on the Richter scale will be:

m = Log₁₀(316,228) = 5.5

Answer:

okkkkk

Step-by-step explanation:

Answer:

16.2 U.S. Dollars  -  I hope this helps! :D

Step-by-step explanation:

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

⇒AC<8 in

Also, the  difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore,  we can say  2< AC<8. Hence, AC can takes 3,4,5,6 values