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Alex73 [517]
2 years ago
11

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas inter

sect at two points, which statement must be true?
Mathematics
2 answers:
dmitriy555 [2]2 years ago
5 0

Answer:

d. just got it right on the unit testttttt

Step-by-step explanation:

erma4kov [3.2K]2 years ago
4 0
Many statements can be true about those parabolas, so you need to include the list of choices.

This is the list of answer choices that I found for this same question:

<span>A. The second parabola opens downward.
B. The second parabola opens upward.
C. The points of intersection are on the x-axis.
D. The points of intersection are of equal distance from the y-axis.

While A, B or C may be or may not be true, D has to be true.

D. has to be true because the symetry axis of both parabolas is x = 0, so the intersection points will  be necesarily to the same distance of the x-axis and the y-axis.

Answer: </span>
<span>The points of intersection are of equal distance from the y-axis. </span>
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Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day
prohojiy [21]
I think that Devon swam at least 35 minutes each day for 5 days because if he exercised 225 minutes and each day he walked for 10 minutes then if you divide 225 by 5 you get 45 so every day he exercised 45 minutes and since he walked for 10 minutes you subtract 10 from 45 which gives you 35 so he swam for 35 minutes.
8 0
2 years ago
A bakery sells rolls in units of a dozen. The demand X (in 1000 units) for rolls has a gamma distribution with parameters α = 3,
bearhunter [10]

Answer:

The value  is  E(X) =  \$ 1.7067

Step-by-step explanation:

From the question we are told that

   The  parameters  are  α = 3, θ = 0.5

    The cost of making a unit on the first day  is  c = $2

    The selling price of a  unit on the first day is  s = $5

    The selling price of a leftover unit on the second day is  v  = $ 1

Generally the profit of a unit on the first day is

        p_1 = 5 - 2

           p_1 = \$3

The profit of a unit on the second day is

       p_2 = 1 - 2

=>     p_2 = - \$1

Generally the probability of making profit greater than $ 1 is mathematically represented as

    P(X >  1 ) = Gamma (X ,\alpha , \theta)

=>   P(X >  1 ) = Gamma (1 ,3 , 0.5)

Now from the gamma distribution table  we have that

    P(X >  1 ) =  0.67668

Generally the probability of making profit less than or  equal to  $ 1 is mathematically represented as

       P(X \le  1 ) = 1 - P(X >  1 )

=>     P(X \le  1 ) = 1 - 0.67668

=>     P(X \le  1 ) = 0.32332    

So  the probability of making  $3  is    P(X >  1 ) =  0.67668

and  the probability of making  -$1  is   P(X \le  1 ) = 0.32332  

Generally the value of profit per day is mathematically represented as

      E(X) =  3 *  P(X >  1 )   +   (-1  *  P(X \le 1 ) )

=>     E(X) =  3 * 0.67668   +   (-1  *  0.32332 )

=>     E(X) =  \$ 1.7067

4 0
2 years ago
A cylindrical paint can has a 6.5 inch inside diameter and is 7.75 inches high. It is being filled with paint at a rate of 120in
Zina [86]

Answer:

The rate of coating of surface is = 74 inch²/min

Step-by-step explanation:

diameter = 6.5-inch, height = 7.75-inch, rate of filling or dv/dt = 120 inch/min

Since the differential of an equation is basically its rate of change with respect to another variable.

Radius = d/2 = 6.5/2 = 3.25 inch, ds/dt = ? can also be understood as the rate at which the surface area of the cylindrical paint can is coated.

We know that the surface area of a cylinder = 2πrh + 2πr², this is equation 1

The volume for the cylinder = V = πr²h

dv/dt = πr² x dh/dt, where r is constant

120 = π x (3.25)² x dh/dt

Dh/dt = 120/π x (3.25)²

Now differentiate the surface area equation 1

ds/dt = 2 x π x r dh/dt + 0 , where r is constant

replace the value of dh/dt in the above equation of ds/dt

ds/ dt = 2 x π x 3.25 x (120/π x (3.25)²

ds/dt = 73.846 ≅ 74inch²/min

3 0
2 years ago
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number
Deffense [45]

Answer:

part a: answer b. 0.75x + 0.15y = 90

8 0
2 years ago
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kipiarov [429]
They are now 35 birds sitting in a tree.
8 0
2 years ago
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