why is the following incorrect? 296 divided by 6 equals 48 remainder 8.Write your answer before you complete the calculation

Answers

Answer 1
Answer: 296 divided by 6 equals 49 remainder 2

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Two spheres have are such that the radius of the bigger sphere is 3 times bigger than the smaller. What is the ratio of the area?

Answers

Answer:

1 : 27

Step-by-step explanation:

Radius of sphere one = r₁ = x units

Radius of sphere 2 = r₂ = 3*x = 3x units

Ratio of area of two sphere's = r₁³ : r₂³

                                                = x³ : (3x)³

                                                = (x^(3))/(3^(3)*x^(3))\n\n= (1)/(3^(3))\n\n= (1)/(27)

                                                 = 1 : 27

College BoardThe number of hours of daylight, d, in Hartsville can be modeled by d = (35/3) + (7/3) (sin((2π/365)t)), where t is the number of days after March 21. The day with the greatest number of hours of daylight has how many more daylight hours than May 1? (March and May have 31 days each. April and June have 30 days each.)
A. 0.8 hr
B. 1.5 hr
C. 2.3 hr
D. 3.0 hr
E. 4.7 hr

Answers

Sincethis is an SAT Math Level 2 problem derivatives should not be requiredto find the solution. To find "How many more hours of daylight does theday with max sunlight have than May 1," all you need to understand isthat sin(x) has a maximum value of 1.

The day with max sunlight will occur when sin(2*pi*t/365) = 1, giving the max sunlight to be 35/3 + 7/3 = 14 hours

Evaluating your equation for sunlight when t = 41, May 1 will have about 13.18 hours of sunlight.

The difference is about 0.82 hours of sunlight.

Even though it is unnecessary for this problem, finding the actual maxsunlight day can be done by solving for t when d = 14, of by the use ofcalculus. Common min/max problems on the SAT Math Level 2 involve sinand cos, which both have min values of -1 and max values of 1, and alsopolynomial functions with only even powered variables or variableexpressions, which have a min/max when the variable or variableexpression equals 0.

For example, f(x) = (x-2)^4 + 4 will have a min value of 4 when x = 2. Hope this helps

Final answer:

In Hartsville, the summer solstice has about 1.5 hours more daylight than May 1.

Explanation:

The problem requires calculating the difference in daylight hours between the day with the longest day (also known as the summer solstice) and May 1. The summer solstice is typically around June 21, which is 92 days after March 21. We can find the number of daylight hours on this day by substituting t = 92 into the formula: d = (35/3) + (7/3) (sin((2π/365)*92)). This equals about 16.2 hours.

Next, we find the number of daylight hours on May 1, which is 41 days after March 21, by substituting t = 41 into the formula: d = (35/3) + (7/3)(sin((2π/365)*41)), which equals approximately 14.7 hours.

Then, we find the difference between the two by subtracting the daylight hours on May 1 from the daylight hours on the summer solstice: 16.2 - 14.7 = 1.5 hours. Therefore, the summer solstice has 1.5 hours more daylight than May 1.

Learn more about Mathematics here:

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The city park shown at the right has an area of 6889 m². The parks length along the front Street is 83 m. Find the length of the park along second Avenue.

Answers

length times width = area
83 m times w =6889
divide both sides by 83
and the second length w is 83m

What is 25 squared divided by five to the fourth power equal to

Answers

25 squared is 5
5 to the 4 is 625
5/625 is 1/125
OR
1/ 5^3

e^(2x) = ln 5 (solve with explanation)

Answers

e ^(2x) = ln5

Solve for the real domain

e ^(2x) = ln(5)

if f(x) =g(x), then ln(f(x))= ln(g(x))

ln(e ^(2x) ) = ln(ln(5))

Solve : ln(e ^(2x) ) = ln(ln(5))

use the logarithmic definition :

ln(e^(f(x)) ) = f(x)

ln(e^(2x) ) = 2x

2x=ln(ln(5))

Divide both sides by 2 :

(2x)/(2) = (ln(ln(5)))/(2)

x= (ln(ln(5)))/(2)

hope this helps!

If the density of an object is 8 g/cm cubed, and the mass is 200g. what is the volume of the object

Answers

Answer:

Step-by-step explanation:

To find the volume of an object, we can use the formula:

Volume = Mass / Density

Given that the density of the object is 8 g/cm³ and the mass is 200g, we can substitute these values into the formula to find the volume.

Volume = 200g / 8 g/cm³

Simplifying the expression:

Volume = 25 cm³

Therefore, the volume of the object is 25 cm³.