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2 years ago

the center of a circular sunflower with a diameter of 4 centimeters is (-2,1). Which equation represents the sunflower?

1 answer:

6 0

The standard equation the circle is given by:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
Where,
(xo, yo): coordinates of the center of the circle
r: radius of the circle
Substituting values we have:
(x - (- 2)) ^ 2 + (y-1) ^ 2 = (4/2) ^ 2
Rewriting:
(x + 2) ^ 2 + (y-1) ^ 2 = 4
Answer:
An equation that represents the sunflower is:
(x + 2) ^ 2 + (y-1) ^ 2 = 4

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A florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. He us

shutvik [7]

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

4 0

2 years ago

You offer senior citizens a 20 percent discount on their meal prices served at your cafeteria. Assuming that an average of 150 s

scoray [572]

Given, there are an average of 150 citizens eat daile in the cafeteria.

The average price of their meals = $5.95.

The discount given for sinior citizens in their meals = 20%

So we have to find 20% of $5.95 first.

20% of $5.95 = $(5.95)(\frac{20}{100} )$

= $\frac{(5.95)(20)}{100}$

= $\frac{119}{100}$

= $1.19$

So, the amount of discount given to the senior citizens = $1.19 per head.

As there are 150 cinior citizens daily.

So total discount given daily = $ $(150)(1.19)$ =$ $178.5$

So we have got the required answer.

Option C is correct here.

3 0

2 years ago

Read 2 more answers

Derrick has $3500 in a savings account that earns 12% annually. If the interest is not compounded, how much interest will he ear

netineya [11]

I'm thinking I no this one hold up

7 0

2 years ago

The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu

ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

5 0

2 years ago

An employee who earned $550 a week working 35 hours had her pay increased by 5 percent. Later, her hours were reduced to 30 per

Taya2010 [7]

Answer:

$495

Step-by-step explanation:

After the 5% raise, her weekly pay was ...

$550 × 1.05 = $577.50

If she works 35 hours for that pay, her hourly rate is

$577.50/35 = $16.50

Then, working 30 hours, her weekly pay will be ...

30 × $16.50 = $495.00

3 0

2 years ago