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Len
9 days ago
8

Describe in words the surface whose equation is given. (assume that r is not negative.) θ = π/4

Mathematics
1 answer:
tester [11.9K]9 days ago
7 0
An equation of the form \theta=\dfrac{\pi}{4} describes a line
that passes through the origin and whose tangent corresponds to \dfrac{\pi}{4}. Generally, any equation formatted as \theta=\theta_0
represents a line. 
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7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red light
Inessa [12141]

Answer:

5 miles in total

Step-by-step explanation:

Given:

Time spent driving = 10 min = 10 / 60 = 1/6 hour

Duration of stop = 5 min

Driving speed = 30 miles per hour

Find:

Complete distance

Computation:

Distance traveled = Speed × time

Distance = 30 × (1/6)

Total distance = 5 miles

5 0
1 month ago
Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x
zzz [11820]

Answer:

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Step-by-step explanation:

In order to simplify the expression \frac{3x^{-6}y^{-3} }{15x^{2}y^{10} } where x ≠ 0, y ≠ 0, we must work through the given expression.

\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

6 0
1 month ago
12x+7<−11 AND5x−8≥4012
Svet_ta [12276]

Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Handle each inequality separately.

12x+7              Utilizing the subtraction property of inequalities

12x

12x

x

x

and

5x-8\geq 40               Utilizing the addition property of inequalities

5x\geq 40+8

5x\geq 48

x\geq \dfrac{48}{5}

Thus, the solution to the combined inequality is the overlap of both solutions.

Refer to the attached image for the number line representation.

No solution

8 0
1 month ago
Read 2 more answers
The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table. Using the equation for the line o
tester [11900]
1.8x-5.4=30  add 5.4 to each side

1.8x=35.4  divide every side by 1.8

x=354/18

x≈19.67

Thus, 20 would serve as a solid approximation for x.
6 0
9 days ago
Read 2 more answers
If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?
lawyer [12096]
The dimensions are 58 ft × 58 ft. Step-by-step explanation: Let the length of the region be represented as x feet, and the width as y feet. Given a perimeter of 234 feet, the area A can be represented as xy. By differentiating the equation with regards to x, we can determine the point of maximum area, revealing that for x = 58.5 feet, the area's maximum occurs when both dimensions are 58.5 ft.
8 0
12 days ago
Read 2 more answers
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