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3 years ago

What is the volume of the prism?

Mathematics

1 answer:

KatRina [158]3 years ago

3 0

Answer:

D.96ft^3......is the and...hope it helps

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Consider the equation below. X2 + y2 − 2x − 4y − z + 5 = 0 reduce the equation to one of the standard forms. Classify the surfac

jeka57 [31]

we are given

$x^2+y^2-2x-4y-z+5=0$

standard form:

We will complete x , y and z square

make all x , y and z terms together

$x^2-2x+y^2-4y-z+5=0$

$x^2-2x+y^2-4y-z=-5$

$x^2-2*1*x+y^2-2*2*y-z=-5$

$x^2-2*1*x+1^2+y^2-2*2*y+2^2-z=-5+1^2+2^2$

$(x-1)^2+(y-2)^2-z=0$

$z=(x-1)^2+(y-2)^2$

surface:

It is an infinite paraboloid

graph:

3 0

3 years ago

Solve for y 3x + 1/5y = 7

jarptica [38.1K]

I think it is y=35 because u multiply both sides by 5 move the variable right then the final solution is

4 0

3 years ago

A group of freshmen at a local university consider joining the equestrian team. Thirty‑five percent of students choose Western r

lesantik [10]

Answer:

a) Option D) 0.75

b) Option D) 0.3

Step-by-step explanation:

We are given the following in the question:

Percentage of students who choose Western riding = 35%

$P(w) = 0.35$

Percentage of students who choose dressage= 45%

$P(d) = 0.45$

Percentage of students who choose jumping = 50%

$P(j) = 0.50$

Percentage of students who choose both dressage and jumping = 20%

$P(d \cap j) = 0.20$

Percentage of students who choose Western and dressage = 10%

$P(w \cap d) = 0.10$

Percentage of students who choose Western and jumping = 0%

$P(w \cap j) = 0$

Thus, we can say

$P(w \cap j \cap d) = 0$

Formula:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

a) P(student chooses dressage or jumping)

$P(d \cup j) = P(d) + P(j) -p(d \cap j)\\= 0.45 + 0.50-0.20 = 0.75$

b) P(student chooses neither dressage nor Western riding)

$= 1 - P(d \cup w)\\= 1 - (P(d) + P(w) - P(d \cap w))\\= 1 - (0.45 + 0.35 - 0.10)= 0.3$

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3 years ago

Which of the following equations is of a parabola with a vertex at (1, -2)?

arlik [135]

The general eaquation of a parabola in terms of its vertex is:

y = a(x - h)^2 + k

where the vertex point is (h, k)

therefore, an equation of a parabola with vertex (1, -2) is:

y = 5(x - 1)^2 - 2

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3 years ago

Greg purchased supplies for a party. He had a coupon good for 30% off. He purchased a helium tank rental with an original price

Kruka [31]

The correct answer is (A) cake

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3 years ago

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