What is the value of log4 2?​

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

type it into the calculator

Answer 2

The value of logarithm log base 4(2 is 1/2.

What is Logarithm?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Rewrite as an equation.

log base 4(2)=x

and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b  are positive real then

log (base b) x= y equivalent to [tex]b^y[/tex] = x

Create expressions in the equation that all have equal bases.

log base 4(2)=x

[tex](2^2)^x[/tex] = 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2x = 1

x= 1/2.

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Related Questions

I need this done please

Answers

Answer:

Step-by-step explanation:

The answer is 19

A flower takes 8 minutes to grow 5.2 inches. How many inches will the flower grow in 17 minutes?

Answers

11.05 inches.

EXPLANATION:

Firstly, lets see the unit rate for how many inches per minute.

5.2 divided by 8 is 0.65 inches every minute.

Now since there is 17 mins, simply do 0.65 inches per min x 17 mins.

11.05 inches.

Hope this helps!

i need help for all of them please!

Answers

Answer:

pls give brainlist

Step-by-step explanation:

definitions

complement: either of two angles whose sum is 90°.

supplement: either of two angles whose sum is 180°.

i took a pic for problems 3-8, IM NOT A BOT.

PLZ HELP ME I WAS STUCK ON THIS FOR 30 MINS WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

6^3 is the error, 6^3 is 216.

the correct volume is   904.32

Answer:

Step-by-step explanation:

6³ is not equal to 18, that is 6x3

6³= 6x6x6=216

so the correct volume is V= 904.7 cm³

miss Nikita age -27 year taxable income is 582000 pay how many income tax on taxable income​

Answers

Answer:

joi n pls goo gle me. et csz-dftv-vwz joi n pls any one

Exercise 11-16. I know it’s late but I’m really confused on them so please help me.

Answers

Hi! I hope you’re having a marvelous day!


Here’s the Exercise 11’s answer:

6^19 x 4^2 or... 2^31 x 3^19



Exercise 16’s answer:

10^4 x 2^7

The side of polygone have length 5,7,8,11&9, the perimeter of similar polygone is 75cm ,finde the length of the side of large polygon?

Answers

Answer:

The side lengths of the larger polygon are;

15 cm

20.625 cm

16.875 cm

9.375 cm

13.125 cm

Step-by-step explanation:

Firstly, we need to calculate the perimeter of the first polygon

Mathematically, we can get this by adding the side lengths together

We have this as;

5 + 7 + 8 + 11 + 9

= 40 cm

so we have the ratio of the lengths of both as;

75 cm/40 cm = 1.875

Now, we simply will multiply the lengths of the smaller polygon by 1.875

So we have the side lengths of the bigger polygon as;

1.875 * 5 = 9.375 cm

1.875 * 7 = 13.125 cm

1.875 * 8 = 15 cm

1.875 * 9 = 16.875 cm

1.875 * 11 = 20.625 cm

Genny is arranging flowers in vases for every 1 rose shes uses 6 tuilps .How many tulips would she use for every 5 roses

Answers

Answer:

30

Step-by-step explanation:

Ah okay, so this is a simple proportion.

If 1 rose = 6 tulips, then you just multiply however many roses you have by 6. So in your case, 5 x 6 = 30. So in short, for every 5 roses Genny uses, she will use 30 tulips.

Answer:

30 tulips

Step-by-step explanation:

This question gives us the amount of tulips for one rose.

Let us make 1 rose as r and a tulip is t. Now write an equation for the tulips.

Tulip = 6r

If we have 5r:

5r = 6t x 5

Solve!

5r = 30t

5 roses = 30 tulips

Hope this helps :)

Audrey measures the distance around the lid of her aquarium. The picture
shows the shape of the lid. If the perimeter of the lid is 56 inches, what is the
missing side length?

Answers

Answer: 10 inches
Explanation: You are given one side of the aquarium which is 18 inches. The top and the bottom of the aquarium is 18 inches because that’s what the diagram gives us. So you can multiply 18 x 2=36. Now, to find the missing side length, subtract the perimeter (56 inches) by 36 and you get 20 inches. However, that’s not your final answer because you have to divide 20/2=10 inches. 10 inches is the missing side length for the left and right side lengths.

Two athletic shoe brands were studied to see which brand was manufactured with the least amount of defects. Brand A was found to have 5 out of 600 pairs of shoes with a defect. Brand B was found to have 5 out of 250 pairs of shoes with a defect.

Which brand of shoes is most likely to have defects in their shoes? Explain your reasoning.

Answers

Brand B since the 5 defected occurs more often.

For every 250, 5 are defected, making the percent probability of it ever happening again is 2%,while Brand B only 0.0083%.

Brand B of shoes is most likely to have defects in their shoes.

What is percentage?

A relative value indicating hundredth parts of any quantity.

Brand A was found to have 5 out of 600 pairs of shoes with a defect.

Brand B was found to have 5 out of 250 pairs of shoes with a defect.

As per the data the brand B shoes get more often defected.

For every 250, 5 are defected,

The percent probability for brand A is

= 5/250*100

= 2%.

while Brand B

=5/600*100

= 0.0083%.

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identify the vertex of the parabola

Answers

I believe the answer is A. I hope it helps:)

Drag each tile to the correct box.
Match each equation with its solution.
x= -0.4
x = 10
x= 2
x= -10
Equation
Solution
X-6=4
heter
x + 3 = -7
5x=-2
0.5x = 5

Answers

Answer:

Equation

x-6=4

Solution

x=10

Equation

x+3= -7

Solution

x= -10

Equation

5x= -2

Solution

x= -0.4

Equation

0.5x = 5

Solution

x= 10

All the solutions of the expressions are,

1) x = 10

2) x = -10

3) x = -0.4

4) x = 10

We have to given that,

All expressions are,

1) x - 6 = 4

2) x + 3 = - 7

3) 5x = - 2

4) 0.5x = 5

Now, We can simplify the expression as,

x - 6 = 4

x = 4 + 6

x = 10

x + 3 = - 7

x = - 7 - 3

x = - 10

5x = - 2

x = - 2/5

x = - 0.4

0.5x = 5

x = 5/0.5

x = 50/5

x = 10

Thus, All the solutions of the expressions are,

1) x = 10

2) x = -10

3) x = -0.4

4) x = 10

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Sean keeps track of his driving so that he can take a tax deduction. Sean drove 260 miles last month, in comparison to 325 miles this month. By what percent has his monthly driving increased?

Answers

Answer:

25%

Step-by-step explanation:

325/260 = 1.25

how do you write 3,901.25 as a scientific notation?

Answers

Answer: 3.90125×10⁻³

Step-by-step explanation:

The scientific notation consists of two parts

the number based: a,  where 0<a<10the exponent based: 10ˣ, which is determined by how we change the number based "a"

So the final version should be: a×10ˣ

-------------------------------------------------------------------

STEP ONE. Number based

We are given 3,901.25

In order to make it within the range of a, we should move the decimal to the left three places, or divide the number by 10³, which is times 10⁻³

We get 3.90125

STEP TWO: Exponent based

Since we changed the number by 10⁻³,  this will be our exponent-based.

Therefore, it is 3.90125×10⁻³

Hope this helps!! :)

Please let me know if you have any questions

Write an expression that is equivalent to 6(7 x - x)

Answers

Answer:

Step-by-step explanation:

Assuming that you meant 6(7x - x), we get:  6(6x) = 36x

What is the equation of the line that passes through (4, 3) and (-4, -1)?

y = 2 x + 7
y = + 1
2 x + 1
y = + 7

Answers

Answer:

Step-by-step explanation:

First find the slope of the line

(4 , 3) ; x₁ = 4 ; y₁ = 3

(-4,-1) ; x₂ = -4 ; y₂ = -1

slope [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

        [tex]=\frac{-1-3}{-4-4}\\\\=\frac{-4}{-8}\\\\=\frac{1}{2}[/tex]

m = 1/2 , and take any one point (4 , 3)

y -y1 = m(x - x1)

[tex]y - 3 = \frac{1}{2}(x - 4)\\\\y -3 = \frac{1}{2}x-4*\frac{1}{2}\\\\y - 3 =\frac{1}{2}x - 2\\\\y = \frac{1}{2}x - 2 + 3\\\\y =\frac{1}{2}x + 1[/tex]

John had $30 when he got to the
carnival. After riding 5 rides, he had $20
left. If each ride costs the same, what
was the price of each?

Answers

Answer:

$2

Step-by-step explanation:

Step-by-step explanation:

Given, John had $30

after riding 5 rides, He had $20

( Let's subtract the balance and the balance he had after ride )

$(30 - 20)

$10

Therefore, Each ride costs = $10 ÷ 5

(dividing 10 and 5, we get 2)= $2

Hence, It took $2 for a ride.

Hope it helps. If it helps don't forget to like and mark me.

Explain why the exponents cannot be added in the product 12^3 x
11^3.

Answers

Answer:

see explanation

Step-by-step explanation:

The exponents can only be added if the bases are the same

Here one base is 12 and the other is 11

So the rule of addition is not applicable.

Answer:

Because the bases (12 and 11) are different.

Step-by-step explanation:

You can only add exponents when the bases are the same.

What point on the parabola y=3-x^2 is closest to the point ​(3​,3​)?

Answers

3+x-Y hope it helps :DD

Choose the equation of the graphed function

Answers

Answer:

The answer is c

Hope this helped :)

Which statement is true about all cylinders?


The height is a vertical distance

The diameter of a base is less than the height.

The radii of both bases are the same.

The area of a base is greater than 1 square unit.

Answers

Answer: The radii of both bases are the same

Hope this helps ;)

Answer:

C. The radii of both bases are the same.

Step-by-step explanation:

What is the value of t in the equation 3(2t + 5) = 5t + 20? (4 points)

a
5

b
6

c
10

d
35

Answers

Answer:

a. 5

Step-by-step explanation:

3x2t = 6t+15 = 5t+20

-5t -5t

t+15 = 20

-15 -15

t = 5

Find the area of the circle.

Answers

Answer:

have of 18 is 9

9^2 is 81

81 x 3.14(pi) = 254.34

Formula of area of a circle:

half of diameter or given radius squared

Times

3.14(pi) or whatever you use for pi.

1. When the outcome of one even has NO effect on the outcome of the other is called... A. likely events
B. dependent events
C. independent events
2.Lucy picks a marble at random. Without putting the first marble back, Lucy picks another marble at random. This is called...
A. independent probability
B. random ratios
C. dependent probability
D. natural occurrence

3. A bag contains 9 green marbles and 12 pink marbles. One marble is chosen at random and returned to the bag. Then, a second marble is chosen at random.

What is the probability that both marbles chosen will be green?
A. 6/9
B. 9/49
C. 3/4
D. 81/122

Answers

Answer:

C

Step-by-step explanation:

2.) Find the volume of the prism. V=Bh*
1 point
4 cm
B= 176 cm?
A. 704 cubic cm
B. 180 cubic cm
O D. 408 cubic cm



Please find the answer ASAP! Thanks!

Answers

Answer:

704cm³

Step-by-step explanation:

v=bh

v=176*4

v=704


Determine which data set best corresponds to the given scatter plot.

Answers

Answer:

Are there any options?

and it's not A)

so B)

Step-by-step explanation:

GEOMETRY 10TH GRADE NEED HELP ASAP

Answers

[tex] \boxed{(6, -3)} [/tex]

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].

(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].

(26, -13) → [tex] (x_{2}, y_{2}) [/tex].

Let 5 be n, and 3 be m.

5:3 → n:m

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →

[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →

[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →

[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →

[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →

[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]

[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]

[tex] (6, -3) [/tex].

Thus the coordinates of B are:

[tex] \boxed{(6, -3)} [/tex]

Answer:

Step-by-step explanation:

AB:BC::5:3

let the coordinates be (x,y)

[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]

coordinates of B are (14,3)

A school cafeteria offers three lunch options on Mondays: spaghetti, sub sandwiches, or salad bar. The following two-way frequency table shows the number of each lunch option ordered on a given.

What percentage of teachers ordered the salad bar?
OA. 19.48%
B. 10.21%
C. 2.38%
D. 65.22%​

Answers

Answer: 65.22%

Step-by-step explanation: 15 is more than half of 23 which means it can’t be the other options because the others aren’t more than half.

65.22 % of teachers ordered the salad bar

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

According to the question

A school cafeteria offers three lunch options on Mondays:

Spaghetti, sub sandwiches, or salad bar.

Percentage of teachers ordered the salad bar

Total number of teachers = 23

Total number of teachers ordered the salad bar = 15

= [tex]\frac{15}{23}[/tex]

= 0.6522

= 65.22%

Thus, 65.22 % of teachers ordered the salad bar

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1. What is the volume, in cubic centimeters, of the sphere shown below? Use 3.14
for Pi

Answers

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = [tex]\frac{4}3}[/tex][tex]\pi r^3[/tex]

= 4 * 3.14 * 3 * 3 *3 / 3

=  4 * 28.26

= 113.04 cm³

Anybody know the answer

Answers

Answer:

ur steps would be 9*1*9  = 9^3

Step-by-step explanation:

Any number in the power of 0 = 1

Answer:

9^4

Step-by-step explanation:

Let's review the equation:

9 · 9^0 · 9^3

Anything to the power of 0 is equal to one, so 9^0 is one

That leaves us with 9 · 1 · 9^3

9 · 1 = 9

9^1 · 9^3 = 9^4

so..

9 · 9^3

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