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2 years ago

Calories Used While Swimming for 30 Minutes

Mathematics

1 answer:

77julia77 [94]2 years ago

3 0

Answer:

C.
Bar graph

Step-by-step explanation:

WHen you have a lot of data like this, it is best that you use bar graphs. If it is incorrect I am sorry.

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Find a ⋅ b. a = 9i + 5j, b = 4i + 3j

IgorLugansk [536]

-36 + 47ji + 15j^2

Best luck with your studying

6 0

2 years ago

Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.

denis-greek [22]

Answer:

Lisa borrowed $8,500

Step-by-step explanation:

Simple Interest

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

$\displaystyle P=\frac{I}{rt}$

Substituting:

$\displaystyle P=\frac{170}{0.048*5/12}$

$\displaystyle P=\frac{170}{0.02}=8,500$

Lisa borrowed $8,500

8 0

2 years ago

Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2

katrin2010 [14]

Answer:

$\dfrac{225}{64}$

Step-by-step explanation:

$(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =$

$= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}$

$= 2^{-12} \times 2^{12} \times \dfrac{225}{64}$

$= \dfrac{225}{64}$

8 0

3 years ago

Further mathematics: Find the derivative of the function x^2 y + (xy)^3 +3x=0 at (-1 , 3)

vesna_86 [32]

Answer:

Step-by-step explanation:

Implicit differentiation:

x^2 y + (xy)^3 + 3x = 0

x^2 y + x^3y^3 + 3x = 0

Using the product rule:

2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0

2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0

dy/dx(x^2 + 3y^2x^3) = (-2xy - 3x^2y^3 - 3)

dy/dx= (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)

At the point (-1, 3).

the derivative = (6 - 81 - 3)/(1 -27)

= -78/-26

= 3.

8 0

2 years ago

Read 2 more answers

how many pounds of rock will you need to fill an area 25 ft by 35 ft to a depth of 2 in. If the rock weighs 1050 lb cubic yard?

Eduardwww [97]

The volume of the area is Length x width x height:

25 x 35 x 2/12 = 145.83 cubic feet.

1 cubic foot = 0.037 cubic yards:

145.83 x 0.037 = 5.40 cubic yards.

5.4 cubic yards x 1050 lbs/ cubic yard = 5,665.6 pounds.

Note:

Rounding and conversion may change the answer slightly, but I believe I rounded everything as it should be.

6 0

3 years ago