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nydimaria [60]
2 years ago
15

Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the neares

t hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656 )
Mathematics
1 answer:
zzz [600]2 years ago
4 0

Answer:

2.6667yd^3

Step-by-step explanation

Volume of the concrete = Length * width * height

Given

height = 6 inches

To yards;

1 in = 0.0277778yd

6 in = 6 * 0.0277778

6in = 0.1666668 yards

Width = 8 feet

Length = 6ft

LW = 48ft²

To yards;

1 ft = 0.333333yd

48 ft = 48(0.333333)

48 ft^ 2 = 15.999984yd^2

Volume = 15.999984 * 0.1666668

Volume = 2.6667 yd^3

Hence she will need 2.6667yd^3 concrete

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Enter the expression N0e−λt, where N0 is N-naught (an N with a subscript zero) and λ is the lowercase Greek letter lambda.
Natali5045456 [20]
So the question tells to express the expression in your problem where N0 is N-naught and the symbol represent the lower case Greek letter lambda. So the best answer or expression would be that the lambda is the wavelength of the expression. I hope you are satisfied with my answer 
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2 years ago
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A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a
Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

3 0
2 years ago
Suppose you have just enough money, in coins, to pay for a gallon of milk priced at $2.40. You have 12 coins, all quarters and d
wel
The answer is
q + d = 12
0.25q + 0.10d = 2.40


q - the number of quarters
d - the number of dimes

You have 12 <span>coins, all quarters and dimes:
q + d = 12

The value of 1 quarter is $0.25.
The value of 1 dime is $0.10.
Therefore, if you want to pay </span>$2.40 you will have q quarters of value $0.25(0.25q) and d dimes of value $0.10d (0.10d).
The second equation is:
0.25q + 0.10d = 2.40
3 0
2 years ago
The sales data for January and February of a frozen yogurt shop are approximately normal. The mean daily sales for January was $
VashaNatasha [74]

Answer:

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

Step-by-step explanation:

z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

January:

The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that \mu = 300, \sigma = 20, X = 310. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{310 - 300}{20}

Z = 0.5

February:

The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that \mu = 320, \sigma = 50, X = 340. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{340 - 320}{50}

Z = 0.4

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

3 0
2 years ago
For the sequence an = 2n + 1, identify the values of a0 = _____, a1 = _____, a2 = _____, and a3 = _____.
Tresset [83]

Answer:

Option A -  a_0= 2,a_1= 3,a_2= 5,a_3= 9

Step-by-step explanation:

Given : For the sequence a_n= 2^n + 1

To find : Identify the values of following?

Solution :

The nth term of the sequence is a_n= 2^n + 1

Substitute n=0,1,2 and 3

When n=0,

a_0= 2^0+ 1

a_0= 1+1

a_0=2

When n=1,

a_1= 2^1+ 1

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When n=2,

a_2= 2^2+ 1

a_2=4+1

a_2=5

When n=3,

a_3= 2^3+ 1

a_3= 8+ 1

a_3= 9

Therefore, The value is a_0= 2,a_1= 3,a_2= 5,a_3= 9

So, Option A is correct.

4 0
2 years ago
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