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3 years ago

Copper has a density of 8.9 g/cm A copper necklace has a volume of 396 cm”.

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

Answer:

3524.4 g

Step-by-step explanation:

Use formula: Density = Mass/Volume
Mass= Density * Volume

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The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i

Hunter-Best [27]

Answer:

$(x+3)^2+(y+11)^2=121$

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

Blue line is given by y = 4x + 1.
Point B is the center of the circle.
Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the general equation of the circle of radius lenght r centered at (h, k) is given by

$(x-h)^2+(y-k)^2=r^2$

then with h = -3, k = -11 and r= 11, the equation of our circle is

$(x+3)^2+(y+11)^2=121$

5 0

3 years ago

olivia has 42 muffins. She put the same number of muffins into each of 6 baskets. How many muffins does Olivia put in each baske

STALIN [3.7K]

This is simple math, just divide.

Divide.

42÷6=7

She put 7 muffins in each basket.

3 0

3 years ago

Read 2 more answers

(1 point) In 7 years Harry and Sally would like to have $14000 for a down payment on a house. How much should they deposit each

den301095 [7]

Answer:

$110.37

Step-by-step explanation:

Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...

... A = P(1+r/12)((1+r/12)^(nt) -1)/(r/12) . . . . n=compoundings/year, t=years

... 14000 = P(1+.11/12)((1+.11/12)^(12·7) -1)/(.11/12)

... 14000 = P(12.11)((1+.11/12)^84 -1)/0.11 ≈ P·126.84714 . . . . fill in the given values

... P = 14000/126.84714 = 110.37 . . . . . divide by the coefficient of P

They should deposit $110.37 at the beginning of each month.

6 0

3 years ago

Marla did 65 sit ups each day for 1 week. Use the distributive property to show an expression u can use to find the total number

Debora [2.8K]

the total number of sit ups = 7(60 + 5)
= 7 * 60 + 7 * 5
= 420 + 35
= 455

Hope it helps

8 0

3 years ago

A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio

My name is Ann [436]

Answer:

The error that Adam could have made is added 45 to the depth of

submarine instead of adding -45

Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- That means it travels down another 45 meters

∵ Down means negative

∴ The depth of submarine = -200 + (-45) = -245 meters

∴ The depth of submarine is 245 below the surface of the ocean

- Adam could thought that the submarine traveled up for 45 meters

then he add 45 to -200

∵ -200 + 45 = -155 meters

∴ The error that Adam could have made is added 45 to the

depth of submarine instead of adding -45

3 0

3 years ago