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lorasvet [3.4K]
3 years ago
13

The maximum value of f(x) = 2x3 – 18x2 + 48x – 1 on the interval [0, 3] is –1 39 35 71

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

l'vjbdwipf

Step-by-step explanation:

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Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
jenyasd209 [6]

Answer:

C. About 75 in²; Aubrey found the surface area of the cone and included the base.

Step-by-step explanation:

In the questions above we were given the following:

Cone with

Diameter(D) = 6 inches

Slant height (l) = 8 inches.

Aubrey made an error in her calculation.

She found the Total Surface area of the cone using the formula:

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

The Total surface area of a cone is the calculated as Sum of the curved surface area of a cone and the base of the cone.

Where:

Curved surface area of the cone is calculated as = πrl

Base of a cone is calculated as = πr²

Where r = radius of the cone

l = slant height of the cone

In the question, we were given

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Surface area = 3.14 × 3(8+3)

= 9.42 × 11

Surface area = 103.62 in²

Approximately to the nearest inch = 104 in² or 104 square inches.

But this answer is WRONG.

The RIGHT FORMULA Aubrey should have used is

Curved Surface Area or the Lateral Area of a Cone = πrL

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Curved Surface Area of a Cone = πrL

= 3.14 × 3 inches × 8 inches

= 75.36 square inches or 75.36in²

Approximately to the nearest inch = 75 square inches or 75 in².

This is the correct answer.

The error Aubrey made was she calculated the Total surface area of the cone which includes the base of the cone instead of calculating the curved surface area of the cone only.

Hence, from the above calculation , we can see that Option C "About 75 in²; Aubrey found the surface area of the cone and included the base" is the correct option.

5 0
3 years ago
Find the sum: -2.75+(-3.25)+5
dedylja [7]
The answer is -1. Hope this helps :)
7 0
3 years ago
Read 2 more answers
Please help. no links
olga nikolaevna [1]

Answer:

144

Step-by-step explanation:

20×12=240

add 4 to 20 and 12

makes a new rectangle 24×16

24×16=384

384-240=144

7 0
3 years ago
There is a hiking trail that is 2,930 feet long. There is 1 person hiking for every 10 feet of the length of the trail. Write an
katrin2010 [14]

Answer: question question for you to do a walk on a walk and jog on a walk on a field trip and jog the field of a walk on the walk in a walk on the field and jog jog the

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help with this question
alekssr [168]

Step-by-step explanation:

so, that means we want to find the time t (days) after which N = No/2

because "half-life" means the amount of time until half of the substance has disappeared (or transformed into something else).

so, we have

No/2 = No × e^(-0.1481×t)

No = 2× No × e^(-0.1481×t)

1 = 2×e^(‐0.1481×t)

1/2 = 0.5 = e^(-0.1481×t)

ln(0.5) = -0.1481×t

t = ln(0.5)/-0.1481 = 4.680264555... ≈ 4.7 days

8 0
1 year ago
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