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3 years ago

Smith's Vacuum Company is giving their employees the chance

1 answer:

3 0

34 hours for bob because 100 divided by 3 is 33.333 and you would round up because you would need the extra hour to finish and sell the extra vacuum.

Susan would take 50 hours because 1 every 30 minutes that would be 2 per hour so 100 divided by 2 is 50 so 50 hours.

So it would take 34 hours for someone to earn the $1000 bonus and that person would be Bob.

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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:

1) Find the radius

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.

2) Plug the data into the equation of a circle

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

2 Barbie is thinking of a number.

arlik [135]

Answer:

I think -4

Step-by-step explanation:

20- 1/3of 72

I hope I am right and it helps you!

7 0

3 years ago

Read 2 more answers

Which expressions are equivalent to the one below? Check all that apply. 8^x

Dvinal [7]

$\bf a)\qquad \left( \cfrac{32}{4} \right)^x\implies \left( \cfrac{8}{1} \right)^x\implies (8)^x\implies 8^x
\\\\\\
b)\qquad x^4\impliedby \textit{nothing to simplify}
\\\\\\
c)\qquad 8\cdot 8^{x-1}\implies 8^1\cdot 8^{x-1}\impliedby \textit{same base, add the exponents}
\\\\\\
\left. \qquad \right.\left. \qquad \right.8^{1+x-1}\implies 8^x$

$\bf d)\qquad \cfrac{32^x}{4}\implies \cfrac{(2^5)^x}{2^2}\implies (2^5)^x\cdot 2^{-2}\implies 2^{5x}\cdot 2^{-2}\implies 2^{5x-2}
\\\\\\
e)\qquad \cfrac{32^x}{4^x}\implies \left( \cfrac{32}{4} \right)^x\implies \left( \cfrac{8}{1} \right)^x\implies 8^x
\\\\\\
f)\qquad 8\cdot 8^{x+1}\implies 8^1\cdot 8^{x+1}\implies 8^{1+x+1}\implies 8^{x+2}$

7 0

4 years ago

Hey can anyone help me in dis!!!!!!!!!!!!!!!!!!!

Fed [463]

Answer:

1. blue

2. blue because I measured both lines with a ruler.

3. this one was harder to decide because when I look at the picture both lines look the same length but since I measured both lines with a ruler I realized that the blue line was longer that the red line.

Step-by-step explanation:

I actually measured both lines with a ruler and the blue line is just barely bigger that the red line

7 0

3 years ago

Helllp! How many lines of symmetry does a regular heptagon have? Explain your answer!

omeli [17]

Answer:

Step-by-step explanation:

Regular polygons have the same number of lines of symmetry as they do sides

5 0

3 years ago

Read 2 more answers