Use the properties of logarithms
Rewrite the following in the form log(c).
5log(2)

Answer:

it's 4

Step-by-step explanation:

big brainnnnnnnnnn

Answer:

wheres the pic

Step-by-step explanation:

Answer:

x = 3, x = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

(a)

The first step is to subtract 23x from both sides, that is

7x² - 23x + 6 = 0 ← in standard form

(b)

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 7 × 6 = 42 and sum = - 23

The factors are - 21 and - 2

Use these factors to split the x- term

7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )

7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(7x - 2) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]

Answer:

(-2,1)

Step-by-step explanation:

Answer:

-2/1

Step-by-step explanation:

Answer: Manuel Because He was on the motor bike less. She was in the car driving for 4 HOURS he was on the bike less for a grand total of 3.5 HOURS so MANUEL was faster. :)

And he was faster by 30 minutes...

This is one of those questions where they try to put you focus on something else like speed speed does not matter!! :)

Answer:

3.2seconds

Step-by-step explanation:

Step one:

Robert run the 100 meter dash in 13.5 seconds

We are told that he later  run same distance in 10.3 seconds

Required.

The time difference in the first dash and the second

Step two:

The first dash took 13.5 seconds

the second took 10.3 seconds

the difference = 13.5-10.3= 3.2seconds

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

[tex]C=2\pi r[/tex] ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]

So, the value of r is 8. Hence, the correct option is (b).

Answer:

x<5

Step-by-step explanation:

Answer:

-2 > -15

Step-by-step explanation:

-2 is greater than -15

Answer:

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where m is the slope and (x₀, y₀) is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                y + 7 = -7(x - 3)

Answer:

to verify this answer you need to substitute the answer you got for x

Step-by-step explanation:

7(3)-2=19

21-2=19

19=19

this means that you are correct

Answer:

A)200%

B)I dont know sorry

C) 57.14. Not sure tho

Hope they are correct

Answer:

the risk free rate of return is 4.86%

Step-by-step explanation:

The computation of the risk free rate is shown below;

As we know that

Expected return = Risk free rate of return + Beta × (Market rate of return - risk free rate of return)

10.5% = Risk free rate of return + 1.55 × (8.5% - Risk free rate of return)

10.5% = Risk free rate of return + 13.175% - 1.55 Risk free rate of return

10.5% - 13.175% = -0.55 risk free rate of return

-2.675% = -0.55 risk free rate of return

So, the risk free rate of return is

= 2.675% ÷ 0.55

= 4.86%

Hence, the risk free rate of return is 4.86%

Answer:

Step-by-step explanation:

Given:

MO bisects ∠KMN and LO bisects ∠KLN

To prove:

LK ≅ LN

             Statements                                                   Reasons

1). MO bisects ∠KMN                               1). Given

2). LO bisects ∠KLN                                2). Given

3). ∠KLM ≅ ∠NLM                                    3). Definition of angle bisector

4). ∠KMO ≅∠NMO                                   4). Definition of angle bisector

5). ∠KMO + ∠KML = 180°                         5). Linear pair postulate

6). ∠NMO + ∠NML = 180°                        6). Linear pair postulate

7). ∠KMO + ∠KML = ∠NMO + ∠NML       7). Transitive property of equality

8). ∠KMO + ∠KML = ∠KMO + ∠NML       8). Substitution property

9). ∠KML = ∠NML                                     9). Subtraction property of equaity

10).  LM ≅ LM                                           10). Reflexive property

11). ΔLKM ≅ ΔLNM                                   11). ASA property of congruence

12). LK ≅ LN                                              12). CPCTC

The determinant of a 2x2 matrix is defined as

[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]

So, in your case, the determinant is

[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]

Given matrix is:

As we know that,

→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]

then,

The determinant will be:

= [tex]2\times 4-1\times 3[/tex]

= [tex]8-3[/tex]

= [tex]5[/tex]

Thus the above response is correct.

Learn more about determinant here:

https://brainly.com/question/20333341

Answer:

cone shape and cm 3

area of shape

Step-by-step explanation:

3 cm ×8 cm

24

please follow me all friends who are watching me who made answer

Answer:26.4 feet per second

Step-by-step explanation:

Answer:

26.4 fps (feet per second)

Step-by-step explanation:

Answer:

its B. 0.0563 and 0.0564

Answer:

I'm so sorry about your situation! The answer would be D

Step-by-step explanation:

5.634 times 10^(2)= 563.4

Answer:

224

Step-by-step explanation:

Answer:

1/8^4

Step-by-step explanation:

when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4

Answer:

20 2 3 6 10 998778889899999

Answer:

y > x - 2.

2*y + x < 4

The correct option is the third one.

Step-by-step explanation:

First let's find the red shaded part.

We can see that the shade is above the line, then we will have something like:

y > a*x + b

where a*x + b is the equation for the line.

a is the slope, and b is the y-intercept.

In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:

b = -2

To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)

We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:

a = (y2 - y1)/(x2 - x1)

Then for this line, the slope will be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then the equation for this line is:

1*x - 2

And the inequality is:

y > x - 2.

Now for the blue one, the shaded part is below the line, then we will have:

y < a*x + b

In this case, the y-intercept is y = 2.

And we can see that this line passes through the points (0, 2) and (4, 0)

Then the slope is:

a = (0 - 2)/(4 - 0) = -2/4 = -1/2

Then this inequality is:

y < (-1/2)*x + 2

If we rewrite this as the ones shown in the options, we have:

y < (-1/2)*x + 2

2*y < -x + 2*2

2*y + x < 4

Then the two inequalities are:

y > x - 2.

2*y + x < 4

Then the correct option is the third one:

The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

Given the inequalities  y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.

The solution of the inequality on the graph is the very dark region.

Find out more on Inequality at: brainly.com/question/24372553

Answer:

True. 3:4 is the same as 30:40 because they both times 10

Step-by-step explanation:

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer:

answer: B

Step-by-step explanation:

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°

Answer:

x - 3y = 6

Step-by-step explanation:

Equation of the line in intercept form

The intercept form of the equation of a line is:

[tex]\displaystyle \frac{x}{a}+\frac{y}{b}=1[/tex]

Where:

a = x-intercept

b = y-intercept

The standard form of a line is:

Ax + By = C

The given line has a=6 and b=-2, thus:

[tex]\displaystyle \frac{x}{6}+\frac{y}{-2}=1[/tex]

Multiplying by 6:

x - 3y = 6

This is the required standard form of the line.

Thus, the standard form of the line is:

x - 3y = 6

Answer:

42k-2

step by step equation:

calculator apps