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zhuklara [117]
3 years ago
13

At the grocery store you choose to buy 4 items that cost: $2.69, $14.45, $8.05, and $13.95. Estimate the total cost of your groc

eries by rounding the cost of each item to the nearest dollar. What is the estimated total?
Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

$39

Step-by-step explanation:

First, let's get the values of each number by <u>rounding them off to the nearest dollar before adding them</u>.

  • Remember that you have to <em>round off the number up</em> if it is being followed by a number<em> </em><u><em>equivalent to 5 and above.</em></u><em> </em>You have to <em>retain the number</em> if it is followed by a<u><em> number less than 5</em></u>.

1. $2.69 = $3

2. $14.45 = $14

3. $8.05 = $8

4. $13.95 = $14

Now that you have the rounded off numbers, you may add them.

Let's solve.

  • $3 + $14 + $8 + $14 = $39

The estimated total is $39.

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The graph of a trigonometric function oscillates between y=1 and y=-7. It reaches its
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Answer:

y = 4 sin(½ x) − 3

Step-by-step explanation:

The function is either sine or cosine:

y = A sin(2π/T x) + C

y = A cos(2π/T x) + C

where A is the amplitude, T is the period, and C is the midline.

The midline is the average of the min and max:

C = (1 + -7) / 2

C = -3

The amplitude is half the difference between the min and max:

A = (1 − -7) / 2

A = 4

The maximum is at x = π, and the minimum is at x = 3π.  The difference, 2π, is half the period.  So T = 4π.

Plugging in, the options are:

y = 4 sin(½ x) − 3

y = 4 cos(½ x) − 3

Since the maximum is at x = π, this must be a sine wave.

y = 4 sin(½ x) − 3

4 0
3 years ago
Given that f(x) = x2 - 16 and g(x) = 20 - x, find (f-g)-4),
zavuch27 [327]

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Jennifer and Kamlee are walking to school. After 20 minutes, Jennifer has walked 4/5 miles. After 25 minutes, Kamlee has walked
Nimfa-mama [501]

Answer:

Jennifer's speed is 2.4 miles/hour

Kamlee's speed is 2 miles/hour

Step-by-step explanation:

To find their speed,

Speed can be determined from the formula below,

Speed = \frac{Distance}{Time}

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)

For Jennifer,

Distance = 4/5 miles

Time = 20 mins (Convert to hour)

∴Time = (20/60) hour = 1/3 hour

Hence,

Speed = \frac{Distance}{Time}

Speed = \frac{4/5  miles}{1/3hour}

Speed = \frac{4}{5} \times \frac{3}{1}

Speed = \frac{12}{5}

Speed = 2.4 miles/hour

Hence, Jennifer's speed is 2.4 miles/hour

For Kamlee,

Distance = 5/6 miles

Time = 25 minutes (Convert to hour)

Time = (25/60) hour = 5/12 hour

Hence,

Speed = \frac{Distance}{Time}

Speed = \frac{5/6miles}{5/12 hour}

Speed = \frac{5}{6} \times \frac{12}{5}

Speed = 2 miles/hour

Hence, Kamlee's speed is 2 miles/hour

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2 years ago
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