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3 years ago

Here are my steps:

1 answer:

4 0

You have the correct approximate value of k. The part after that is where things get a bit strange.

You don't plug in t = 5 again. We don't know the value of t yet. We're trying to solve for it.

We do know u(t) is 135 as we want the temperature to be 135 degrees. Plug this in and isolate t.

So
u(t) = 70+380e^(-0.1004183888t)
135 = 70+380e^(-0.1004183888t)
135-70 = 380e^(-0.1004183888t)
65 = 380e^(-0.1004183888t)
380e^(-0.1004183888t) = 65
e^(-0.1004183888t) = 65/380
e^(-0.1004183888t) = 13/76
-0.1004183888t = ln(13/76)
-0.1004183888t = -1.7657839828248
t = -1.7657839828248/(-0.1004183888)
t = 17.5842692152893

So it takes about 17.58 minutes for the item to cool to the desired temp

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Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =

dimulka [17.4K]

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

8 0

3 years ago

. Fill in the blank with the most accurate definition.

Zigmanuir [339]

Two distinct points are $\boxed{{\text{collinear}}}.$ Option (C) is correct.

Further Explanation:

Given:

The options are as follows,

(A). Coplanar.

(B). Equidistant.

(C). Collinear.

(D). Complementary.

Explanation:

A point is a location on the graph or at any surface.

A line is the distance between the two points that extends to infinite in both directions.

The points that are on the same plane is known as coplanar points.

Ifdistance to the points from a particular point is same then the points are equidistant.

The points that are on the same line is known as collinear points.

Two distinct points are $\boxed{{\text{collinear}}}$ . Option (C) is correct.

Option (A) is not correct.

Option (B) is not correct.

Option (C) is correct.

Option (D) is not correct.

Learn more:

1Learn more about product of binomial and trinomial brainly.com/question/1394854.
Learn more about equation of circle brainly.com/question/1506955
Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: ray, line, definition, accurate, coplanar, equidistant, collinear, complementary, two, two distinct, points line segment, point, two dimension, plane, parallel lines, intersecting lines, location, distance, undefined, defined, pair, pair of lines, intersection point, never intersect.

7 0

3 years ago

Read 2 more answers

Katoni bought 1 1/2 dozen pencils. There are 12 pencils in a dozen. How many pencils did Katoni buy?

DanielleElmas [232]

Answer:

18 pencils

Step-by-step explanation:

1/2 dozen:6

1 dozen:12

6+12=18

18 pencils

7 0

3 years ago

Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?

Tamiku [17]

100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total

3 0

2 years ago

If ΔRED ≅ ΔTAN, then which of the following statements is not true? RE ≅ TA ∠E ≅ ∠A RD≅ TA ∠D ≅ ∠N

Assoli18 [71]

Answer:

RD≅ TA

Step-by-step explanation:

RD≅ TA is not true statement as they are not corresponding sides.

4 0

3 years ago