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konstantin123 [22]
2 years ago
13

The Harper family is traveling to visit friends. The distance to the friend’s house is 276.45 miles. It takes the family 5.82 ho

urs to complete the trip.
Rate is found by dividing distance by time.

What is the rate for the family’s trip in miles per hour?
Mathematics
2 answers:
Leona [35]2 years ago
8 0

Answer:

270.63

Step-by-step explanation:

hope you get it right

Valentin [98]2 years ago
3 0
270.63 I think u already have the answer but it’s ok
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Round 637.892 to whole number
Stels [109]

Answer:

638

Step-by-step explanation:

its 638, not 639 because its above 638.5

4 0
3 years ago
Read 2 more answers
How do you simplify the value of (28x^4)÷(12x^3)?
d1i1m1o1n [39]
(28x^4) \div (12x^3) =  \dfrac{28x^4}{12x^3}  =  \dfrac{4 \times 7x^4}{4 \times 3 x^3} =  \dfrac{7}{3} x^{4-3} = \dfrac{7}{3} x
5 0
3 years ago
Use Lagrange multipliers to find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Enter the dimens
Dima020 [189]

Answer:

(x,y,z) = (12,12,12) cm

Step-by-step explanation:

The box is assumed to be a closed box.

The surface area of a box of dimension x, y and z is given by

S = 2xy + 2xz + 2yz

We're to minimize this function subject to the constraint that

xyz = 1728

The constraint can be rewritten as

xyz - 1728 = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = 2xy + 2xz + 2yz - λ(xyz - 1728)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points, each of the partial derivatives is equal to 0.

(∂L/∂x) = 2y + 2z - λyz = 0

λ = (2y + 2z)/yz = (2/z) + (2/y)

(∂L/∂y) = 2x + 2z - λxz = 0

λ = (2x + 2z)/xz = (2/z) + (2/x)

(∂L/∂z) = 2x + 2y - λxy = 0

λ = (2x + 2y)/xy = (2/y) + (2/x)

(∂L/∂λ) = xyz - 1728 = 0

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

(2/z) + (2/y) = (2/z) + (2/x)

(2/y) = (2/x)

y = x

Also,

(2/z) + (2/x) = (2/y) + (2/x)

(2/z) = (2/y)

z = y

Hence, at the point where the box has minimal area,

x = y = z

Putting these into the constraint equation or the solution of the fourth partial derivative,

xyz - 1728 = 0

x³ = 1728

x = 12 cm

x = y = z = 12 cm.

7 0
3 years ago
Could you explain why the answer 125 was supposed to be negative while my answer 81 was correct?
hichkok12 [17]

Answer:

Step-by-step explanation:

Realize what (-5)^3 means

(-5)(-5)(-5)

25(-5)

-125

meanwhile

(-9)^2 is

(-9)(-9)

81

Basically a negative times a negative is always positive, but when a negative number is cubed (or raised to any odd exponent for that matter) the product will be negative.

5 0
3 years ago
Jen picked 3/4 of a gallon of strawberries in half an hour.If she keeps picking strawberries at the same time, how many gallons
MrRa [10]

Answer:

Number of gallons of strawberries will she have picked in 2 hours is, 3

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.

Given the statement: Jen picked 3/4 of a gallon of strawberries in half an hour.

⇒ In \frac{1}{2} hour Jen picked  \frac{3}{4} gallon of strawberries.

Unit rate per hour = \frac{\frac{3}{4} }{\frac{1}{2}} =\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}

To find the number of gallons will she have picked in 2 hours.

Number of gallons = unit rate per hours \times 2

                                      =\frac{3}{2} \times 2 = 3

Therefore, the number of gallons will she have picked in 2 hours is, 3

6 0
3 years ago
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