Answer:
option A
Step-by-step explanation:
log_2(100)
we can simplify it
we can use base change formula
log_2 (100)=\frac{ln\left(100\right)}{ln\left(2\right)}
log_2 (100)=6.643856
Second value is :
log_6(20)
we can simplify it
we can use base change formula
log_6(20)=\frac{ln\left(20\right)}{ln\left(6\right)}
log_6(20)=1.67195
so, we know that
6.6438 is almost 4 times of 1.67195
The value of log₂ (100) is about 4 times the value of log₆(20). The correct answer would be an option (A).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
The logarithms expression is given, as follows:
log₂(100)
It can use the base change formula,
log₂ (100) = ln (100) / ln (2)
log₂ (100) = 6.643856
The second value is :
log₆(20)
It can use the base change formula
log₆(20) = ln (20) / ln (6)
log₆(20) = 1.67195
Since 6.6438 is almost 4 times 1.67195
Hence, the correct answer would be option (A).
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What is the median of the set of values?
591 27 3 1 8 8 1 3
Answer:
The median is 5.5.
The two lines $y = 2x - 13$ and $3x+y = 92$ intersect. What is the value of $x$ at the point of intersection?
Answer:
21
Step-by-step explanation:
At the intersection of two lines, the x's are equal and the y's are equal. We may set 2x - 13 = 92 - 3x to find an x, where the y's are equal.
2x - 13 &= 92 - 3x
5x = 105
x =21
Which best describes the scale factor for each
dilation?
Can you give us the options so we can try to help you?
These are the dilations
Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? x = What is the value of y in this simplified expression? y =
Answer:x=7 y=5
Step-by-step explanation:
I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.
Answer:
-4
Step-by-step explanation:
magic
What is the slope of the graph? (Example: 2/3,-4,-2/9)
Answer:
7/9
Step-by-step explanation:
Answer:
The slope is -1
Step-by-step explanation:
Slope is rise/run
In the picture the graph 'raises' by -1 (Because its going down) and runs by 1
so the slope is -1/1 or -1
EE
Solve the system of equations.
y= 2x + 4
y = x2 + x - 2
A. (-2, 0) and (3, 10)
B. (2,0) and (-3,-10)
C. (-3,-10) and (-2,0)
D. (-3, 10) and (2,0)
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = 2x + 4 → (1)
y = x² + x - 2 → (2)
Substitute y = x² + x - 2 into (1)
x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )
x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )
LOTS OF POINTS, EASY QUESTION
Answer:
1/3
Step-by-step explanation:
Take the model size and divide by the original size by using the length
7/21 = 1/3
The scale factor is 1/3
We check by using the width
5/15 = 1/3
Which equation is equivalent to 2x + 10 = 6
A)
2x = 4
x + 5 = 3
(
x + 10 = 3
2x + 6 = 10
Each letter of the word PROBABILITY is written on an individual card, each of which
is the same size, and all are put in a bag. A card is drawn without looking. A card is
drawn without looking. Find P(Letter A or Vowel)
Mutually Exclusive Event
O Inclusive Event
Independent Event
Dependent Event
Answer:
Independent event
Step-by-step explanation:
Solve the equation if 0 degrees<=x<=360 degrees.
sinx= -sqrt 2/2
Answer:
Step-by-step explanation:
hello :
sinx = - -√2/2 0°≤x≤360°
x = 225°
x= 315°
The value of x in this equation is 315°
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here:
Sinx= -√2/2
x =sin⁻¹( -√2/2)
x = -45°
Therefore positive angle of x is given by 360-45=315°
Hence, The value of x in this equation is 315°
Learn more about trigonometric functions here:
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help me pls ill give brainly
64−(3y+8y+y)÷40=37
64 - (3y + 8y + y) / 40 = 37
Simplify 3y + 8y + y
64 - 12y / 40 = 37
Add 12y / 40 to both sides and subtract 37
27 = 12y / 40
Multiply both sides by 40
1080 = 12y
Divide both sides by 12
90 = y
Answer:
y=90
Step-by-step explanation:
Collect the like terms first (3y, 8y, and y) and add them together, which gives you 12y. Equation looks like this so far 64-12y/40=37
Divide the -12 by 40, which can be reduced to -3/10.Equation so far: 64-3/10y=37
Multiply each side by 10 to cancel out the 10 in -3/10y. Equation so far: 640-3y=370
Use inverse operations to move the 640 with the 370. Equation so far: 3y=370-640
Subtract 640 from 370, which gives you -270. Then you'll have -3y=-270 and divide both sides by -3.
Please answer this question! I will try to give brainlist if possible. I beg you, I have asked this question three times!
Answer:
2/7
Step-by-step explanation:
Even numbers: 6, 8, 10, 20
P(E1) = 4/7
P(E2) = 3/6
4/7 × 3/6
2/7
How to convert 7 over 9 to a decimal?
15x + 35 = 65 * what does X=
A. x = 2
B. x = -2
C. x = 5
D. x = 50
Answer:
A
Step-by-step explanation:
15x+35=65
15x=30
x=2
Answer: X= 2
Step-by-step explanation:
We know that 15 + 35 = 50.
But we still need to figure out the X, out of the options multiply it by 2 will get you 30. If we have 30 then we can complete our equation.
15x2 = 30 + 35 = 65
Hope this helps :D
Simplify [tex]5\sqrt{81q^5}[/tex]
Answer:
45√q^5
Step-by-step explanation:
do y’all know what these symbols are called ??
Answer:
They are called tie's
Step-by-step explanation:
They basically mean to carry the note out longer so instead of it being 4 beats its now 8
Hope that helped!
Which 2d shape can be rotated about the y axis to create a cone
Answer:
a triangle
Step-by-step explanation:
Answer:
a right triangle
During a solo competition for playing the flute, Sandra was given the following scores by four of the five judges:
6, 8, 9, and 8. What score would the fifth judge need to give her so that her average score from the five judges
was 8.0?
Answer: she needs a 9 from the fifth judge
Step-by-step explanation: so you have 5 judges and to get a perfect score you need 8. when you multiply the amount of judges by the score of 8 you get 40 witch is 100%, and when you add 6+8+9+8 you get 31 so there is 9 missing to get 40 so the answer is 9.
Help??????????????????(
Step-by-step explanation:
Tn = n² - 3
Now
the first three terms
t1 = 1² - 3 = 1 - 3= -2
t2 = 2² - 3= 4 - 3 = 1
t3 = 3² - 3 = 9 - 3 = 6
----------------
The first three terms are -2 , 1 , 6
and
tenth term
t10= 10² - 3= 100-3 = 97
Hope it will help you :))
Answer:
-2, 1, 6 and the 10th is 97
Step-by-step explanation:
to find the terms, in a row, replace n with 1
nth = 1^2 -3 -2 is the answer (1^2) is 1 -3 = -2
then replace the n with 2, 3, 4 etc till you have your sequence
nth = 2^2 -3 1 is the answer (2^2) is 4 -3 = 1
nth = 3^2 -3 6 is the answer (3^2) is 9-3 = 6
nth = 4^2 -3 13 is the answer (4^2) is 16-3 = 13
nth = 5^2 -3 22 is the answer (5^2) is 25-3 = 22
etc to 10
nth = 10^2 -3 97 is the answer (10^2) is 100 - 3 = 97
sequence is -2, 1, 6, 13, 22, . . . . 97
Angle of elevation __________ Angle of depression
Select one:
a. is complementary to
b. equals the
c. is supplementary to
d. >
Answer:d
Step-by-step explanation:
Does the function model exponential growth or decay? h(t)=0.25\cdot 1.5^th(t)=0.25⋅1.5 t
Answer
Answer:
growth
Step-by-step explanation:
srry im late
last week Tom spent 1/10 hour less time than normal exercising. How much time did Tom spend exercising last week explain?
Answer: 54 minutes
Step-by-step explanation: Given that Tom spent 1/10 hour less time than normal exercising.
Let the normal exercising hour = H
Tom spent 1/10 hour less time than normal exercisin. That is
Tom spent = H - 1/10H
Tom spent = 9/10 hours
The much time Tom spent exercising last week will be
9/10 × 60 = 54 minutes
in a wildlife park there were 18 gray wolves after three years there were 27 gray wolves what is the precent increase
From 18 wolves to 27 wolves, what was the increase? 27 - 18 is 9, so the increase was 9.
How much of 18 is 9? 9 / 18 is equal to 1 / 2, which is 0.5. To make 0.5 a percent we multiply by 100.
0.5 times 100 is 50%.
find the simple interest on $5,000 at 6% interest for 3.5 years.
Look at the attached picture ⤴
Hope it will help u..
Which point is a solution to the inequality? (–2, 1) (–1, 1) (0, One-half) (3, One-half)
Answer:
The answer is D
Step-by-step explanation:
Answer: The answer is (3, One-half) or option D
Step-by-step explanation:
A paving company was hired to make a 4 mile section of the highway. They need 700 tons of concrete to complete the job. How many pounds of concrete will they need to repave the highway?
Answer:
they will need 1,400,000
Step-by-step explanation:
1 ton is 2,000 pounds. so 700x 2,000=1,400,000
A patient takes a medication with a half life. Initially, there are 11 milligrams of the medication in the patient's system. After 70 minutes there are 7 milligrams. After how many minutes will there be only 3 milligrams remaining in the patient’s system? here be after 10 hours? Round your answer to the nearest whole number, do not include units.
Answer:
201
Step-by-step explanation:
The situation can be represented by the formula N(t)=11e(−kt) where t represents time in minutes and k is a constant.
PLEASE HELP ASAP!!!! 50 POINTS!!
Create a factorable polynomial with a GCF of 2y. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answer:
Hope this helps!!
Step-by-step explanation:
2ya and 2yb where a and b have no common factors and a and b are polynomaals
a=(x+2)(x+3)
b=(x+4)(x+5)
no common factors betwen a and b
so
2ya=2y(x+2)(x+3)=2yx²+10xy+12y
2yb=2y(x+4)(x+5)=2yx²+18xy+40y
the 2 polynomials are 2yx²+18xy+40y and 2yx²+10xy+12y
Answer:
The GCF of a polynomial is the greatest factor which is common to all the terms of the polynomial.
Thus, an example of a polynomial with a GCF of 2y is
The above polynomial can also be rewritten as
This form of the polynomial is obtained by factoring out the GCF of the polynomial.
find the area of the shaded porrion
Answer: 111.72 m^2 if they want round its 112
Is from O to C 14m
A=pixr^2
3.14x14^2= 615.44 m/2 half circle = 307.72
Area of triangle A= 1/2bh. .5x28x14=196
307.72-98=196= 111.72 m^2
Step-by-step explanation:
Using the distributive property to transform 4(x +3) = 3(3x -1) how do I substitute 3 for x to see if it’s a true statement?
Answer:
4(3+3)=3(3(3)-1)
Step-by-step explanation:
1) plug in the three
2) distribute
3) see if the answers gotten are the same if not than the statement is wrong
I know it looks a bit complicated but its not once you get the hang of it