Use the change of base formula to compute logo 4.
Round your answer to the nearest thousandth. Yea

Use The Change Of Base Formula To Compute Logo 4.Round Your Answer To The Nearest Thousandth. Yea

Answers

Answer 1

Answer:

[tex]\log_{9}4\approx 0.631[/tex]

Step-by-step explanation:

The change of base formula we can use is

[tex]\log_{b}a=\frac{\log{a}}{\log{b}}[/tex]

Not all calculators will allow the user to directly enter the logarithms with a given base, so the change of base can be used for all calculators, which use the common log.

Common logs have a base of 10.

Let's convert your expression:

[tex]\log_{9}4=\frac{\log4}{\log9}[/tex]

Using our calculator, we will compute log 4 divided by log 9:

[tex]\frac{\log4}{\log9}\approx0.631[/tex].


Related Questions

Which ordered pair is a solution of y=2x+5
(-2,1)
(-1,4)
(1,6)
(3,10)

Answers

(-2,1)

2(-2)= -4

-4 + 5 = 1

1 = 2(-2) + 5

How many edges does this shape have?

Answers

Answer:

8 Edges.

Imagine a cardboard box. The top has four edges and the bottom of it has another four.

Answer:

8

Step-by-step explanation:

count top edges then multiply by 2

What is the perimeter of ΔWXY?

11.57 cm
12.22 cm
12.46 cm
14.50 cm

Answers

no shape included, so this is impossible to answer

The perimeter of the triangle ΔWXY is P = 14.50 cm

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

Now , the measure of sides of the inscribed triangle ΔQRS is

QR = 2.93 cm

RS = 2.04 cm

QS = 2.28 cm

where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ

So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS

And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )

On simplifying , we get

P = 2 ( 7.25 )

P = 14.50 cm

Hence , the perimeter is P = 14.50 cm

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The complete question is attached below :

What is the perimeter of ΔWXY?

a) 11.57 cm

b) 12.22 cm

c) 12.46 cm

d) 14.50 cm

treatment definition

Answers

Answer: Heyaa!

If you mean medicine treatment the definition is...

The management and care of a patient to combat disease or disorder.

If you mean just basic treatment the definition is...

The manner in which someone behaves toward or deals with someone or something.

Hopefully this helps you:

- Matthew

Find the area of the shaded region.
Round your answer to the nearest tenth. 120 degrees 6cm

Answers

If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.

The area of the shaded region will be

Shaded area = area of semicircle - area of isosceles triangle

Then the area of the semicircle will be

Semicircle area = π 6² / 2

Semicircle area = π36/2

Semicircle area = 56.55 square cm.

The area of the isosceles triangle will be

Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°

Isosceles triangle area = 6 × 6 × 0.5

Isosceles triangle area = 18 square cm

Then the area of the shaded region will be

Shaded area = 56.55 - 18

Shaded area = 38.55 square cm

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What is 4(5x^{2} )+16=400

Answers

Step-by-step explanation:

4(5x²) + 16 = 400

5x² + 4 = 100

5x² = 96

x² = 19.5

x = ±sqrt(19.5) = ±4.415880433...

Which lists contain only rational numbers? Select all that apply.
-6, -7, -9, -11,61
5, 12, 18, 24, 30
6 4 11 6 13
3' 7'99' 13' 37
0.865, 0.4444, -6.37, -11.11
7.3, 4.15, -6.26, 9.1

Answers

0.865, 0.4444, -6.37, -11.11
Rational are decimals / fractions

Find the value of x. Enter only your numerical value for x

Answers

Answer:

x = 3

Step-by-step explanation:

Equating the secants :

10 (10 + 5x + 2) = 9 (9 + 7x)50x + 120 = 81 + 63x63x - 50x = 120 - 8113x = 39x = 3

Answer:

3

Step-by-step explanation:

Theorem:

If two secants intersect outside a circle, then the product of the length of the exterior segment of one secant and the length of that secant equals the product of the corresponding parts of the other secant.

In this case:

10 × (10 + 5x + 2) = 9 × (9 + 7x)

10(5x + 12) = 9(7x + 9)

50x + 120 = 63x + 81

-13x = -39

x = 3

Lucia paints a certain room in 5 hours, and Marie paints the same room in 8 hours. How long does it take them to paint the room if they work together? Round to the nearest tenth.

Answers

Answer:

3.1 hrs  painting together

Step-by-step explanation:

Lucia rate = 1 room/ 5 hr

Marie rate = 1 room/8hr

now combine the rates

1 room / ( 1/5 + 1/8) = 3.077 hrs

HELP!!! Simplify the expression.

3√25t²

Answers

Answer:

15t

Step-by-step explanation:

if you do the sqrt of 25 you get five than multiply that by 3 to get 15 then do the sqrt of t to get t

Hope this helps! ;-)

can someone help me with this

Answers

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Multiplicative inverse of a matrix

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

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Consider the following geometric sequence 2,6,18,54

Answers

Answer:

Multiply the number by 3 to get the next number.

Step-by-step explanation:

solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10

Answers

Answer:

x = 3, y = -1.

Step-by-step explanation:

4x + 5y = 7

y = 3x - 10

Substitute for  y = 3x - 10 in the first equation:

4x + 5(3x - 10) = 7

4x + 15x - 50 = 7

19x = 7 + 50 = 57

x = 57/19 = 3.

Now plug x = 3 in the second equation

y = 3(3) - 10

y = 9 -10

y = -1.

help fast i need this before 8

Answers

[tex]~~~~(5x-18)+(4x+45) = 180\\\\\implies 9x+27=180\\\\\implies 9x = 180-27\\\\\implies 9x = 153\\\\\implies x = \dfrac{153}9\\\\\implies x = 17[/tex]

Hello student!

We are given two angles that are right next to each other and are formed off of a 180 degree angle.  These two angles are known as supplementary angles which means that the two angles add up to 180 degrees.  Using that information we can create an equation to help us find x.

[tex]Angle_1 + Angle_2 = 180[/tex]

[tex](5x - 18) + (4x + 45) = 180[/tex]

We now have a functioning equation which we can use to determine x.  The first step that we have is to combine like terms which means to add together numbers which the same variables.  In this case 5x and 4x would add together and -18 and 45 would also add together.

[tex](5x - 18) + (4x + 45) = 180[/tex]

[tex](5x + 4x) + (-18 + 45) = 180[/tex]

[tex]9x + 27 = 180[/tex]

Now we are down to the final steps which is just some algebra.  The first step that we need to do is subtract 27 from both sides which will remove the excess numbers from the left side.  

[tex]9x + 27 - 27= 180- 27[/tex]

[tex]9x = 153[/tex]

The second step that we will need to do is divide both sides by 9 which will help us isolate x and give us our final answer.

[tex]\frac{9x}{9} = \frac{153}{9}[/tex]

[tex]x=17[/tex]

Therefore, our final answer is that x is equal to 17.

Solve for the variable:
√5-x= √6-x

Answers

Answer:

There are no solutions. this equation  seems wrong

Step-by-step explanation:

Consider the system of equations.

h(x) = 4x-2
j(x)= - 2x + 4

What does the point (1,2) represent in the system of equations?

A.
the minimum value
B.
the maximum value
C.
the point when h(x) = j(x)
D.
the domain and the range

Answers

The answer is d! Hope this helps

Given the range (1, 1), (4, 2), (2, -1), with a coordinate transformation of f(x, y) = (x+2, y-3), what is the domain?


(-1, 4), (2, 5), (0, 2)

(-2, 3), (1, 4), (-1, 1)

(1, 1), (2, 4), (2, -1)

(3, 2), (12, 4), (-12, 2)

Answers

Answer:

A.

Step-by-step explanation:

I believe it is A. because there are the numbers that equal all together to get that domain.

Sort each type of expense into the category where it fits best.
clothing expenses
fixed expenses
variable expenses
mortgage expenses
rent
food expenses
loan payments

Answers

The categories that the expenses best fit into are:

fixed expenses :

mortgage expensesrentloan payments

variable expenses:

clothing expensesfood expenses

What are fixed and variable expenses?

Fixed expenses are the expenses that are constant. They do not vary with the quantity bought. Variable expenses are the expenses that vary. More quantities can be bought and this increases the expenses.

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please help me answer this question

Answers

Answer:

The answer is21

Mr. reeves planted 5 beans and 12 tomato plants in his garden. What is the ratio of bean plants to tomato plants ?

Answers

Answer:

5/12 = 0.416666....   also in percentage 29,41 % of the plant are beans and 70.59 % are tomato plants.

A line passes through the point , (−3, -4) and has a slope of 3. Write an equation in slope-intercept form for this line.

How do I solve this?

Answers

Answer:

y=3x+5

Step-by-step explanation:

Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!

if this makes no sense tell me!

volume of hemisphere whos area is 12.5 ft squared

Answers

Answer:

radius r = 1.41047396 m

base circumference C = 8.86226925 m

volume V = 5.87697483 m^3

curved surface area A = 12.5 m^2

base surface area B = 6.25 m^2

total surface area K = 18.75 m^2

In Terms of Pi π

base circumference C = 2.82094792 π m

volume V = 1.87069919 π m3

curved surface area A = 3.97887358 π m^2

base surface area B = 1.98943679 π m^2

total surface area K = 5.96831037 π m

Step-by-step explanation:

r = radiusC = base circumferenceV = volumeA = curved surface areaB = base surface areaK = total surface areaπ = pi = 3.1415926535898√ = square root

Hemisphere Formulas in terms of radius r:Volume of a hemisphere:

V = (2/3)πr^3

Circumference of the base of a hemisphere:

C = 2πr

Curved surface area of a hemisphere (1 side, external only):

A = 2πr^2

Calculate the base surface area of a hemisphere (a circle):

B = πr^2

Total surface area of a hemisphere:

K = (2πr^2) + (πr^2) = 3πr^2

Answer:

Approximately 6.4 ft³

Step-by-step explanation:

A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:

[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]

Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:

[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]

conjunction and disconjuction​

Answers

Step-by-step explanation:

When two statements are connected with an 'and,' you have a conjunction.

For conjunctions, both statements must be true for the compound statement to be true.

When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.

Somebody please help I’ve been stuck on this question for 2 hours

Answers

The volume of the cylinder when its radius is tripled is 405π unit³.

What is the volume of the cylinder when its radius is tripled?

The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;

V = πr²h

where;

r is the radius of the cylinderh is the height of the cylinderV is the volume of the cylinder

V₁/r₁² = V₂/r₂²

where;

V₁ is the initial volume = 45π unit³

r₁ = 3 units

when the radius is tripled, r₂ = 3r₁

V₁/r₁² = V₂/r₂²

V₂ = (V₁/r₁²) x r₂²

V₂ = (V₁/r₁²) x (3r₁)²

V₂ = 9V₁

V₂ = 9 x 45π unit³

V₂ = 405π unit³

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Last school year, trent kept track of the amount of time he spent on homework each night. this box plot shows the results. time spent on homework (min.) 20 40 60 80 100 120 what percent of the time did trent spend at least 80 minutes on homework?

Answers

The percentage of time spend at least 80 minutes on homework will be 66.66%.

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The time he spent on homework each night. this box plot shows the results.

The time spent on homework (min.) 20 40 60 80 100 120.

The percentage will be calculated as:-

Maximum time spent = 120 minutes

The percentage for 80 minutes of homework will be:-

=   120  /  80

=   0.66=66 = 66.66%

Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.

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Answer: 25%

Step-by-step explanation:

What is the sum of the angles in the image?

50°
66°
86°
76°

Answers

Answer: Choice D) 76

Explanation:

"Sum" means we add the numbers

63+13 = 76

Answer:

D

Step-by-step explanation:

63+13= 76 because sum is add :)

Factor completely 16x8 − 1.

Answers

Answer:

Step-by-step explanation:

(4x^4 - 1)(4x^4 + 1)

(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)

somebody please help me?​

Answers

Answer:

Step-by-step explanation:

Comment

There are 9 marbles all together.

2 are green4 are red3 are blue

The important  fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.

Solution

First marble: Blue = 3/9 = 1/3

Second marble: Green 2/8 = 1/4

The probability of that happening is

P(blue,Green) = 1/3 * 1/4 = 1/12

Answer P(blue, green) = 1/12

The bases of Triangle A and Triangle B are equal. The ratio of the height of
Triangle A to the height of Triangle B is 4 : 5. If the height of Triangle A is
16 cm and its base is 12 cm, what is the area of Triangle B?

Answers

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²

A variable that explains the relationship between an IV and a DV is called a(n) __________, whereas a variable that changes the relationship between an IV and a DV is called a(n) __________.

Answers

Mediator variable explains the relationship between IV and DV.

Moderator variable that changes the relationship between an IV and a DV.

What is a Mediator Variable and a Moderator Variable?

A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.

For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.

In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.

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