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3 years ago

Evaluate log4 16. (2 points) −4 −2 2 4

Mathematics

2 answers:

aleksley [76]3 years ago

7 0

Answer:

The correct option is 3. The value of given expression is 2.

Step-by-step explanation:

The given expression is

$log_4{16}$

Rewrite the given expression.

$log_4{4^2}$

According to the property of log.

$log_aa^x=x$

Using the property of log, we get

$log_4{4^2}=2$

Therefore the value of given expression is 2 and option 3 is correct.

soldi70 [24.7K]3 years ago

6 0

Log with the base of 4 of 16 is 2

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Eleanor deposits 20% of the money that she earns each week in a savings account. If Eleanor earns $85 each week, how much money

RoseWind [281]

Answer:

She will deposit $17.

Step-by-step explanation:

So this is really simple.

20% of $85= 0.20•85= 17=$17

5 0

2 years ago

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Select the point that is a solution to the system if inequalities yx^2-6

labwork [276]

Answer:

The correct answer is A.

$A(0,-2)$

Step-by-step explanation:

Method 1

You just have to plot each point on the graph.

The one that falls within the solution region is the correct choice.

From the graph, $A(0,-2)$ falls within the solution region.

See graph

Method 2

If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.

The first inequality is

$y\:$

If we substitute $A(0,-2)$ , we get;

$-2\:$

This statement is true.

The second inequality is

$y\:>\:x^2-6$

If we substitute $A(0,-2)$ , we get;

$-2\:>\:(0)^2-6$

This gives,

$-2\:>\:-6$

This statement is also true.

8 0

3 years ago

Please please please help me with this question, this is my third time posting it.

netineya [11]

I wanna say B cause on my calc 1/3x is less steep than g(x) but idk good luck <3

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3 years ago

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

3 years ago

Find the exact value of tan 195 degrees

melamori03 [73]

Answer:

$tan(195\°)=tan(15\°)=0.267949192431123...$

Step-by-step explanation:

We know that

$tan(195\°)=tan(15\°)$ , because $195\° - 180\° = 15\°$ .

Now, angle 15° or 195° is not an important angle which can be solve by a given table like 30°, 45° or 60°. This means we have to use the calculator to find the more exact value, which is

$tan(195\°)=tan(15\°)=0.267949192431123...$

6 0

3 years ago

Read 2 more answers