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Margaret
5 days ago
5

If x3=64 and y3=125, what is the value of y−x?

Mathematics
1 answer:
Zina [3.9K]5 days ago
3 0

Answer: We start with equation 1

x=64/3

Next, we solve equation 2

y=125/3

Now, we combine equations 1 and 2

y-x=125/3 -64/3

=61/3

Step-by-step explanation:

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A town planner creates plans for a new water tower. The tower is 96 feet tall and the tank is circular with a diameter of 64 fee
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1. 12in by 8in
2. 1920ft by 64ft
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The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft
lawyer [4039]

Answer: It’s two trees

Step-by-step explanation:

Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.

We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.

Thus, the sum of both side lengths will be 234-52-68=114.

Consequently, the side next to Dayton Avenue measures

114\div2=57 feet.

Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.

57\div20=2.85

This rounding process gives us 2.

I hope this clarifies!

3 0
10 days ago
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The source document states: (S) The process takes three hours to complete. The new document states: (S) The first step in the pr
tester [3938]

Answer:

Contained within.

Step-by-step explanation:

The accurate answer to the question posed is "contained within." This is because it was derived directly from the original text without requiring additional information, analysis, or interpretation in the new document.

4 0
15 days ago
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they paid $13 for each pepperoni pizza and $11for each plain pizza the club bought total of 18 pizzas for the party and paint a
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Complete question;

A booster club financed pizzas for an end-of-season celebration. The cost was $13 for each pepperoni pizza and $11 for each plain pizza. They purchased a

total of 18 pizzas for the event, totaling $212.

Organize the numbers into an equation that represents this scenario with x being the number of pepperoni pizzas and y being the number of plain pizzas purchased.

Answer:

13x + 11y = 212

Step-by-step explanation:

Two varieties of pizza were purchased: pepperoni and plain. The pepperoni variety cost $13 each while the plain one cost $11 each. In total, they bought 18 pizzas.

The overall expenditure on the pizzas was $212.

total number of pizzas = 18

total amount spent on pizzas = $212

x represents the number of pepperoni pizzas

y represents the number of plain pizzas

The cost of the pepperoni pizzas is derived by multiplying the number of pizzas by their individual price. The same calculation applies for the plain pizzas.

Therefore, by summing the costs of both pizza types, we arrive at the total price for the pizzas.

13x + 11y = 212

4 0
13 days ago
Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/
Inessa [3926]

Respuesta:

Por lo tanto, la integral de superficie es \pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c.

Explicación paso a paso:

La función dada es,

\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}

Para encontrar,

\int\int_{S}\vec{F}dS 

donde S=A=superficie del cilindro elíptico debemos aplicar el teorema de divergencia, así que,

\int\int_{S}\vec{F}dS

=\int\int\int_V\nabla.\vec{F}dV

=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV 

=\frac{a^2+b^2}{ab}\int\int\int_VdV

=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}

=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c

  • Si el vector unitario \cap{n} está dirigido en dirección positiva (hacia afuera), entonces z=c y,

\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1}. dA 

=\int\int_{S_1}.dA=0

  • Si el vector unitario \cap{n} está dirigido en dirección negativa (hacia adentro), entonces z=-c y,

\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA 

=\int\int_{S_2}. -dA=0

Por lo tanto, la integral de superficie sin el vector unitario de la superficie es,

\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c

5 0
8 days ago
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