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ElenaW [278]
2 years ago
10

A research submarine dives at a speed of 100 ft/min directly toward the research lab. How

Mathematics
1 answer:
olga55 [171]2 years ago
6 0

Answer:29.2

Step-by-step explanation:

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The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the c
Lena [83]

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

3 0
3 years ago
A figure is located entirely in the third quadrant. If you reflect it over y = 0. Which quadrant will the resulting figure lie i
Varvara68 [4.7K]

Answer: Quadrant 2

=================================================

Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is (x,y) \to (x,-y) showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.

The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.

Side note: all points on the line y = 0 have a y coordinate of 0

5 0
3 years ago
11) Specific resistance is also called ? and is abbreviated with the capital letter K or the Greek letter ρ (rho).
Nuetrik [128]

Answer:

Resistivity

Step-by-step explanation:

Resistivity : It is a fundamental property of a material that measures how strongly a particular material opposes the flow of electric current. It is also known as specific resistance.

  • A low resistivity indicates a material that easily allows the flow of electric current.
  • Resistivity is commonly represented by the Greek letter ρ (rho) or abbreviated with a a capital letter K. The SI unit of electrical resistivity is the ohm-metre (Ω⋅m).

Hence, the correct answer for the blank is Resistivity.


8 0
3 years ago
Find the selling price of a $7.50 agenda book with a 15% discount.
Diano4ka-milaya [45]

Answer:

The selling price of the agenda book is $6.38 to the nearest cent.

Step-by-step explanation:

Assume that the cost price of the agenda book is 100%

∵ The discount is 15%

∵ The selling price = the cost price - discount amount

∴ The selling price = 100% - 15%

→ That means the selling price is 85% of the cost price

∵ The cost price = $7.50

∴ The selling price = 85% × 7.50

→ Change 85% to a number by divide it by 100

∴ The selling price = \frac{85}{100} × 7.50

∴ The selling price = 6.375

→ Round it to the nearest cent (2 d.p)

∴ The selling price = $6.38

∴ The selling price of the agenda book is $6.38 to the nearest cent.

8 0
2 years ago
Find the distance between the two points (0,0), (4,3)
Amiraneli [1.4K]

Answer:

Distance between the points=5

Step-by-step explanation:

The distance between two points in coordinate geometry is measured by using the distance formula:

If we have given two points

                   (x_1,y_1)\\\\(x_2,y_2)

Distance formula=  \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For (0,0) and (4,3)

      Distance:                          

                        \sqrt{(4-0)^2+(3-0)^2} \\\\\sqrt{4^2+3^2}\\\\\sqrt{16+9}\\\\\sqrt{25}

Or

      Distance between the points=5

4 0
3 years ago
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