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3 years ago

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A jogging route is 10 kilometers long Lee Ming has jogged 4 kilometers of the route what percent of the route has Lee Ming jigge

d

2 answers:

Kamila [148]3 years ago

7 0

Look at this problem in terms of a generic problem, asking, "What percent of 10 is 4" and that would be x% * 10 = 4. 4 divided by 10 is .4, and since a percent is expressed by multiplying a decimal by 100, you get that 4 kilometers is 40% of 10 kilometers. Which makes sense because 5 kilometers would be half of the 10 kilometers, which would be 50%...

PilotLPTM [1.2K]3 years ago

6 0

The percentage will be how much she jogged over the total route distance:

4
--
10

This is equal to 0.4, or 40%.

Hope this helps

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2 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

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3 years ago

Solve the equation graphically: 12x-7y=-6 5x-7y=27

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3 years ago

The pressure applied on any object can be calculated by using the following equation.

lapo4ka [179]

The pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied is 82Pa

<h3>What is pressure?</h3>

Pressure is defined as the ratio of the force to the cross sectional area of an object. Mathematically;

Pressure = Force/Area

Given the following parameters

Force = 1306 Newton

Area = 16 square. meters

Substitute the given parameters into the formula

Presssure = 1306N/16m²

Pressure = 81.625N/m²

<u>Convert N/m² to pascal</u>

Pressure = 82Pa

Hence the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied is 82Pa

Learn more on pressure here: brainly.com/question/25965960

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1 year ago

Derive the equation of the parabola with a focus of (-5,-5) and a directrix of y=7.

adoni [48]

Answer:

$y=-\frac{1}{24}(x+5)^2+1$

Step-by-step explanation:

The given parabola has its focus at (-5,-5) and the directrix is at: y=7.

The equation of such parabola is given by the formula:

$(x-h)^2=-4p(y-k)$

The vertex of the parabola is the midpoint of (-5,-5) and (-5,7).

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The value of p is the distance from the (-5,-5) to (-5,1).

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We substitute the values of the vertex and p into the equation to get;

$(x--5)^2=-4(6)(y-1)$

$(x+5)^2=-24(y-1)$

Or

$y=-\frac{1}{24}(x+5)^2+1$

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3 years ago