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quester [9]
3 years ago
12

If the measure 3= (2y+20) degrees, and the measure of 5= (210-4y) degrees, what is the measure of 4?

Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

110°

Step-by-step explanation:

y = 25

Angle 5 equals Angle 4 because of the Alternate Angles Postulate.

Angle 4 equals 110°

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a. Determine whether the Mean Value Theorem applies to the function f (x )equals ln 15 xf(x)=ln15x on the given interval [1 comm
ivolga24 [154]

Answer:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

c = e-1 \\ = 1.71828

Step-by-step explanation:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

You are looking for a point c   such that

\frac{1}{c} = \frac{\ln(15e)-\ln(15*1)}{e-1} = \frac{\ln(15e/15)}{e-1} = \frac{\ln(e)}{e-1} = \frac{1}{e-1}

You have to solve for c  and get that

c = e-1 \\ = 1.71828

5 0
3 years ago
A new American graduate is contemplating buying a
Law Incorporation [45]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

Amercian Car:

Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934

Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678

Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171

Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

4 0
3 years ago
Read 2 more answers
Heights in inches of several tomato plants : 16,18,18,20,17,10,18,17 mean absolute deviation :
AysviL [449]
18 would have to be the mean because of the average
7 0
3 years ago
Hamid has gained weight. He now weights 88kg, which is 10% higher than his normal weight. What is Hamids normal weight
zubka84 [21]

Let his normal weight = 100%

He is 10% more so he is 110%

Divide his weight now by 110% to find his normal weight.

88/1.1 = 80

His normal weight is 80 kg

3 0
3 years ago
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(−2, 1), B(3, 1), C(3, 4),
Lynna [10]

Answer:

16 units.

Step-by-step explanation:

8 0
2 years ago
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