The logarithm of a number to the base V2 is k. What is its logarithm to the base 2v2 ?
Answer:
[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]
Step-by-step explanation:
Given
Let the number be X
From the first statement, we have:
[tex]log_{\sqrt 2} X = k[/tex]
Required
Find [tex]log_{2\sqrt 2} X[/tex]
[tex]log_{\sqrt 2} X = k[/tex]
using the following law of logarithm
[tex]log_ab = n, b=a^n[/tex]
So:
[tex]log_{\sqrt 2} X = k[/tex]
[tex]X = \sqrt{2}^k[/tex]
Substitute: [tex]X = \sqrt{2}^k[/tex] in [tex]log_{2\sqrt 2} X[/tex]
[tex]log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)[/tex]
[tex]log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}[/tex]
Apply the following law:
[tex]log_ab = \frac{log\ b}{log\ a}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}[/tex]
Express the square roots as power
[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}[/tex]
using the following law of logarithm
[tex]log_ab = n, b=a^n[/tex]
[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}[/tex]
[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}[/tex]
Rewrite as:
[tex]log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}[/tex]
[tex]log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}[/tex]
[tex]log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}[/tex]
[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]
kiaras monthly rent increased from $425 to $480 whats the percent increase in her rent rounded to the nearest tenth of a percent
Answer:
1.1
Step-by-step explanation:
480/425=1.129
There was a 1.129 rent increase but you round to the nearest tenth so 1.1
in the graph above, what's the distance between (-1, -4) and (-1, 5)
Answer:
9
Step-by-step explanation:
5-(-4) =
5 + 4 = 9
Hope that helps!9
PLEASE HURRY⚠️⚠️
How do you find the length of an unknown leg in a right triangle?
Answer:
by measuring in feet
Step-by-step explanation:
its the easiest way to find what your looking for
Answer:
You can find the length of an unknown leg using the Pythagorean theorem
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
or
[tex]c^2-a^2=b^2[/tex]
or
[tex]c^2-b^2=a^2[/tex]
note c = hypotenuse and b and a = legs
calculate the number of terms in the following arithmetic sequence. 6;1;-4;-9....... -239
Answer:
50
Step-by-step explanation:
Given
first term (a) = 6
Common Difference (d) = 1 - 6 = - 5
Last term (tn )= - 239
Number of terms (n) = ?
We know
Tn = a + ( n - 1 ) d
- 239 = 6 + (n - 1) (-5)
- 239 = 6 - 5n + 5
- 239 = 11 - 5n
5n = 11 + 239
5n = 250
n = 250 / 5
n = 50
The number of terms is 50.
PLS HELP ASAP AAA TYSMM
The coordinates of the vertices of a triangle are A(1,2), B(4,5), and C(4,2). Find triangle A’B’C’ by translating triangle ABC 2 units to the right and 3 units down. Write: (1) the algebraic rule that describes the transformations and (2) the coordinates of A’B’C’.
Answer:
Parallelogram ABCD was translated to parallelogram A'B'C'D'. ... When ΔRST is translated 4 units down, what is the coordinate of T'? ... C. 7 units left and 5 units down. B. 7 units right and 5 units up. D. ... If the triangle DOG with coordinates (2, 2), (2, 10), (8, 6) is translated six units left and three units.
Step-by-step explanation:
2. En un concierto hay 432 personas. Si sabemos que hay 48 mujeres más que hombres,
¿Cuántos hombres y cuántas mujeres hay?
Of 75is90 =120 true or false
Answer:
False
Step-by-step explanation:
What would be the volume to this equation?
Answer:
you times 11.3 by 15.1 then times it by 18.9
2+262+77+8+9+9+8+6+5+5+4+5+56+6+6+6+8+8+65+6+6+8+8
Answer:
583
Step-by-step explanation:
can you help me? I am stuck
Answer:
27
Step-by-step explanation:
what is 111/4?
27.75
But they asked exact, or no remainders. So the whole number is 27
The greatest number of stalls he needs is 28.
Since it says "the greatest, I rounded 27.75 up, getting 28.
please help I have tried over and over and can't get it
math is so hard:
For which function is the ordered pair (4, 12) not a solution?
1. y = 3 x
2. y = 16 - x
3. y = x + 8
4. y = 8 - x
what’s the answer?
Answer:
4. y = 8 - x is the right answer
Answer:
4. y = 8 - x
Step-by-step explanation:
The question asks for which function is the ordered pair not a solution?
We need to substitute the ordered pair (4, 12) into x and y.
1. 12 = 3(4) (correct)
2. 12 = 16 - 4 (correct)
3. 12 = 4 + 8 (correct)
4. 12 = 8 - 4 (incorrect)
Therefore, the solution to your question is option 4.
I need help for that^^
Answer:
1<x<3
x < -4
Hopefully that helps :)
A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to rent 2 chairs and 12 tables is $81.
cost to rent each chair=
cost to rent each table=
Answer:
14 and 16
Step-by-step explanation:
nryjettutwi523iwtietiitqy25
The Spanish Club has 78 members, 42 girls and 36 boys. What is the ratio of
girls to boys in the Spanish Club?
A. 6:7
B. 8:7
O C. 7:6
Answer:
C. 7:6
Step-by-step explanation:
Take your ratio 42 (G): 36 (B) and divide both numbers by six. This comes out to 7 (G): 6 (B) which is the simplest form of this ratio.
Find the sum:(12x-14)+(2x+3)
Answer:
x= -0.785
Step-by-step explanation:
12x plus 2x equals 14x
negative 14 plus 3 equals negative 11
negative 11 divided by 14 equals x
PLEASE HELP I WILL MARK BRAINLIST!!
14: [tex]\frac{1}{2} = \frac{8}{1}[/tex] [tex]\frac{x}{y} = \frac{56}{1}[/tex]
56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"
1/2 · 7/1 = 7/2 or 3 1/2
15. [tex]\frac{2}{5} = \frac{x}{100}[/tex]
to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.
40/100 = 40% or D
16. [tex]\frac{3}{5} = \frac{12}{x}[/tex]
A
A factory worker finds 26 products are defective out of a random sample of 400
products. Based on the results, about how many of the 56,000 products produced this
month can be expected to be defective?
Answer: 36,400
Step-by-step explanation:
Answer:
Step-by-step explanation:
36,400
Which graph represents the function f(x) = 3/2 (2) ^x
Answer:
There is no any graph
I have telegram account you can sent it there if you need that write in the comment below
Father shared $90 among his three children. Liam, Darreon and Jessie. Jessie gets $10
more than Darreon who gets $10 more than Liam. How much did Jessie and Liam
get
altogether
Find t.
Write your answer in simplest radical form.
Special right triangles
HELPPP I MAKE BRAINLIESTT
A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.
Which linear function models the data?
A. c(t) = 5t
B. c(t) = 15t
C. c(t) = 5 + 15t
D. c(t) = 15 + 5t
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.
(Only the slope will have the t next to it.)
Because $15 is charged EACH HOUR this would be the slope because there is a constant increase
Therefore c(t) = 5 + 15t
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A. 13 feet
B. 25 feet
C. 26 feet
D. 38 feet
Answer:
13 ft
Step-by-step explanation:
To find the perimeter of a rectangle you have to add the four sides of the rectangle, you have two sides and know the perimeter, this will help you find the length of her room. 12 ft is the width, add 12+12 and you have 24. The perimeter is 50 so subtract 24 from 50 and you have 26 that is the length times two, so divide 26 by 2. Now you have 13, so the length of her room is 13 feet.
Hope you understand now! :)
Help please. It’s base times height.
Answer:
Pretty sure it's 99.
Answer:
11×9=99
99in³ is the area of the parallelogram
Which condition would prove ΔDEF ∼ ΔJKL?
Step-by-step explanation:
DE : JK
= 21 : 7
= 1 : 3
#CMIIWThe condition that proves congruent of two given triangles ΔDEF ∼ ΔJKL would be option A; DE : JK.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
we have given proof two triangles congruent by the postulate of SSS.
Since two corresponding sides of these triangles are congruent so additional third side should also be congruent to prove both the triangles congruent.
AC ≅ DF will complete the SSS property to prove both the triangles are congruent.
DE : JK
= 21 : 7
= 3 : 1
Learn more about triangle here:
https://brainly.com/question/342881
#SPJ2
x^4 − 3x^2 − 90 x= -3
Answer:
-36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x⁴ - 3x² - 90
x = -3
Step 2: Evaluate
Substitute in x: (-3)⁴ - 3(-3)² - 90Exponents: 81 - 3(9) - 90Multiply: 81 - 27 - 90Subtract: 54 - 90Subtract: -36y o u s h a l l g e t 50 p o i n t s
i f y o u a n s w e r t h i s
Answer: 1.) 10
Step-by-step explanation:
-4 + 4 = 0
0 + 6 = 6
6 + 4 = 10
Answer:
3. Z=10 4. B=60
Step-by-step explanation:
For number 3 we work backwards. So, 6 - (-4) would equal 10. To check this -4 + 10 = 6. For number 4, we also work backwards, so 12 x 5 = 60. To check this 60/5 = 12. So z = 10 B = 60.
3. 15 is what percent of 75?.
Show your work
Please hurry this is 100% of my grade and I have an F in math please
Answer:
20%
Step-by-step explanation:
75 divided by 5 equals 15
Simple form:
15+15+15+15+15=75 There are 5 15's.
I hope this helps and your grade gets better. :)
in what category does sugar, brown sugar, butter, eggs, vanilla, flour , unsweetened coca power , baking soda , salt & chocolate chips ? help please i’ll give extra points