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3 years ago

Which expression is the best estimate of 5 7/8−3 2/15?

Mathematics

1 answer:

storchak [24]3 years ago

6 0

Answer:

C 6-3.

Step-by-step explanation:

5 78 is close to 6

3 2/15 is close to 3

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Write the standard form of the equation of the circle with center (7,1) that also contains the point (−1,−5).

Karo-lina-s [1.5K]

Answer:

$(x-7)^2+(y-1)^2=100$

Step-by-step explanation:

<u>1) Find the radius</u>

We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where the two points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the points (7,1) and (-1,-5)

$d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10$

Therefore, the radius of the circle is 10 units.

<u>2) Plug the data into the equation of a circle</u>

Equation of a circle (when not centred at the origin):

$(x-h)^2+(y-k)^2=r^2$ where the centre is $(h,k)$ and r is the radius

Plug in the centre (7,1) as (h,k)

$(x-7)^2+(y-1)^2=r^2$

Plug in the radius 10

$(x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100$

I hope this helps!

4 0

3 years ago

Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross

Pavel [41]

$218.79 is the answer

8 0

3 years ago

The Pear company sells pPhones. The cost to manufacture x pPhones is C ( x ) = - 21 x² + 67000 x + 20006 dollars (this includes

pishuonlain [190]

Answer:

Company should produce 8000 phones for the maximum profit.

Step-by-step explanation:

Function representing cost to the manufacturer is,

C(x) = -21x²+ 67000x + 20006

Function that represents the revenue generated is,

R(x) = -28x² + 179000x

Function representing profit to the company,

Profit = Revenue generated - Cost price

= -28x² + 179000x - (- 21x² + 67000x + 20006)

= -28x² + 21x² + 179000x - 67000x - 20006

P(x) = -7x² + 112000x - 20006

Since this function is a quadratic function therefore, the maximum price generated will be for

$x=-\frac{b}{2a}$

From the given quadratic function, a = (-7), b = 112000 and c = -20006

Therefore, for $x=-\frac{112000}{2\times (-7)}$

Or x = 8000 the profit to the company will be maximum.

That means pear company should produce 8000 phones for the maximum profit.

7 0

3 years ago

Please help me with this !!!!

saw5 [17]

Answer:C

Step-by-step explanation:

SOHCAHTOA

Sin- opposite and hypotenuse

Cos- Adjacent and Hypotenuse

Tan- Opposite and Adjacent

8 0

3 years ago

What is the result of −58⋅−889?

kaheart [24]

Answer:

947

Step-by-step explanation:

I have had this question before lots of times

8 0

3 years ago