Alarge coffee urn dispenses coffee at a hospital cafeteria. the cafeteria is open from 6 am until 7 pm daily. the rate at which coffee is added to the urn is modeled by the function e(x)=3x3+20 , where the rate is measured in cups of coffee per hour since the cafeteria opened. the rate at which coffee is dispensed from the urn is modeled by the function l(x)=5x2+10 , where the rate is measured in cups of coffee per hour since the cafeteria opened. what does (e−l)(4) mean in this situation?

The function e(x) shows the rate at which the coffee is added to the urn, x hours after it opened.

So, e(4) means the rate at which coffee is added to the urn after 4 hours of its opening which is 10 a.m.

The function I(x) shows the rate at which coffee is dispensed from the urn, x hours after it opened.

So, I(4) means the rate at which coffee is dispensed from the urn after 4 hours of its opening which is 10 a.m

(e - I)(x) = e(x) - I(x)

So, (e - I)(4) = e(4) - I(4) = 122 cups of coffee per hour

Thus, (e - I)(4) will represent the net rate at which coffee is added to the machine at 10 a.m. So we can conclude that 122 cups of coffee are added to the urn at 10 a.m

The answer is the first one

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.