Answers
9514 1404 393
Answer:
6/(2+k)
Step-by-step explanation:
The change of base formula is ...
[tex]\log_a(b)=\dfrac{\log(b)}{\log(a)}[/tex]
Using this, we can take the logarithm base 2 in the change of base formula for the given expression.
[tex]\log_{20}(64)=\dfrac{\log_2(64)}{\log_2(20)}=\dfrac{\log_2(2^6)}{\log_2(2^2\cdot5)}\\\\=\dfrac{6}{\log_2(2^2)+\log_2(5)}=\boxed{\dfrac{6}{2+k}}[/tex]
__
In addition to the change of base formula, the usual rules of logarithms apply.
[tex]a^b=m\ \longleftrightarrow \ \log_a(m)=b\\\log(ab)=\log(a)+\log(b)[/tex]
Related Questions
Find the area of the triangle created with the diagonal. Each side length measures 8 feet. Help ASAP please.
Answers
Kindred invested $38,976 into first company his investment decreased by 3.5% each years over the first 3 years. Which exponential decay model could use to determine the amount his investment will be worth if in continue to decrease at the same rate?
Answers
Answer:
35,025.08 x 0.965 ^ X = Y
Step-by-step explanation:
Given that Kindred invested $ 38,976 into First company, and his investment decreased by 3.5% each year over the first 3 years, to determine which exponential decay model could use to determine the amount his investment will be worth if it continues to decrease at the same rate the following calculation must be performed:
100 - 3.5 = 96.5
38,976 x 0.965 ^ 3 = 35,025.08
Thus, after 3 years of losses, the value of the account will be $ 35,025.08. In turn, if we wanted to determine the amount his investment will be worth if it continues to decrease at the same rate, the following equation should be applied:
35,025.08 x 0.965 ^ X = Y
In this case, X will be the number of years the investment has fallen, and Y will be the value of said investment after the years of decline.
can someone help me with this please
Answers
Answer:
45 degrees I believe
Step-by-step explanation:
Answer: 30 degrees
Step-by-step explanation:
The opposite and hypotenuse sides are given, so we use sine.
sinx = O/H = 25/50
sinx = 1/2
x = 30 degrees
can you help me please
Answers
Answer:
1 < X< 4Step-by-step explanation:
have a nice day/night !
PLEASE HELP ME:
Strawberries cost $1.24 per pound. What is the cost for 3.16 pounds of strawberries?
Answers
Answer:
$3.92
Step-by-step explanation:
1.24 x 3.16 = 3.9184
Rounding it off to two decimal places:
$3.92
Can someone solve this for x and y
Answers
Answer:
[tex]y = 6\\\\x = 6\sqrt{2}\\x=8.485[/tex]
Step-by-step explanation:
The base-angles converse theorem states that in a triangle where two angles are congruent, the sides opposite the congruent angles are congruent. One can apply this theorem to the given triangle, and thus, y = 6, because of the base angles converse theorem.
It is also given that the given triangle is a right triangle, therefore, the isosceles triangle with a right angle theorem is applicable. This theorem states that in a right triangle (a triangle with a right angle), that is isosceles (two sides are congruent), the third side (non-congruent side) is equal to the length of the two congruent sides times the square root of (2). Hence, x = [tex]6\sqrt{2}[/tex], in the decimal form that is 8.485.
4x + 112° Find x.
9x + 72°
Answers
Answer:x = 8 Step-by-step explanation:4x + 112 = 9x + 72-112 -1124x = 9x - 40-9x -9x-5x = -40----- -------- -5 -5x = 8
Explanation;
the answer is 5x=8
This keypad lock uses 6 letter keys to enter a
3-letter code.
enter code
What would make this lock more safe?
1) Making the codes one place longer
2) Adding one more letter key
Answers
Answer:
ksknxxms
Step-by-step explanation:
nsiaoalapz i oskaoxnsoxoakocmdmx
Which is the better deal? $2.89 for 4 quarts or $4.39 for 6 quarts
Answers
Answer:
$4.39 for 6 quartz
Step-by-step explanation:
if you multiply 2.89 by 2 it's more then 4.39
Please help and thank you:)
Answers
Answer:
Its C
Step-by-step explanation:
Since the x is being multiplied by the 12, not being added or divided or substracted
Answer if your smart Zoey can text 90 words in 4 minutes. At this rate, how many minutes would it take her to text 45 words?
Answers
Answer:
2 minutes
Step-by-step explanation:
90 words÷4 minutes
=22.5 words
22.5 words×2 minutes
=45 words
If one he side of a square note book measures 20cm what is the area of the front cover of the note book
Answers
Answer:
400 sq cm
Step-by-step explanation:
20cm x 20cm
Find the length of the third side. If necessary, round to the nearest tenth.
12
Answers
=========================================================
Work Shown:
a = 9, b = 12 are the two legs of the right triangle
c = unknown is the hypotenuse
Apply the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
c^2 = 225
c = sqrt(225)
c = 15
Answer:
15
Step-by-step explanation:
Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.
pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.
12²+9²=225
Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.
√225 = 15
Help me pls & thanksss
Answers
Answer:
135 degrees.
Step-by-step explanation:
Assuming that it is a regular octagon, you can use the formula (n-2) (180) divided by n. n = sides. Therefore, (8-2) (180) divided by 8, which is 135.
Answer:
135 degrees
Step-by-step explanation:
(just took that test!!)
(Asher)
I need help fast. I will give brainliest. GEOMETRY
Answers
Answer:
Step-by-step explanation:
The two triangles are similar dues to the ASA therom, so we can relate the sides to one another. That means that
13x=11x-4
2x=-4
x=-0.5
A deli shop sells sandwiches for $4.85 each, including tax. The shop received a total of $63.05 from the sales of sandwiches one afternoon. Write and solve an equation that can be used to determine the number of sandwiches, x, sold by the sandwich shop that afternoon.
Answers
Answer:
13 sandwiches were sold
Step-by-step explanation:
Can someone help i need it much appreciated will give brainleist
Answers
Answer is YES
note that you don’t need to frost the bottom side. So don’t multiply that rectangle by 2
(1) The tuition T for one year at a college can be approximated by the equation T = 1/8 + 9 where x is the year since 2000, and T is tuition in thousands of dollars. Use this equation to estimate the tuition for one year at this college in 2020.
Answers
Answer:
Step-by-step explanation:
I’m assuming you meant to write
T = ⅛x + 9
T = ⅛(20) + 9 = 11.5
The required estimate of tuition for one year at the college in 2020 is $11500
Given,
The tuition T for one year at a college can be approximated by the equation.
T = 1/8x + 9 - - - - - - (1)
where x is the year since 2000, and T is tuition in thousands of dollars.
Tuition fee in the year 2020 to be calcuate.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The expression is given, since 2000
so the change in years
x = 2020 - 2000
x = 20
Put this x in equation 1
T = 20/8 + 9
T = 2.5 + 9
T = 11.5
SInce t is in thousand so Tuition fee = $11,500.
Thus, the required estimate of tuition for one year at the college in 2020 is $11500
Learn more about function here:
brainly.com/question/21145944
#SPJ2
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A four group with 22 people in his getting rooms in a more to sny in to the
night. No more than 3 people can stay in each room. How many terms will
they need?
Answers
Answer:
To find the answer you will have to divide 22 by 3 so 7 with 1 person left over so you round up and there will be 8 rooms needed.
Hope I helped :)
Can you please help me :) you are supposed to use a^2+ b^2 =c^2 format I will mark brainliest
Answers
13 is x
144+25=169
169 is 13 squared
find the squaret of 22
Answers
Answer:
the square root of 22 is 4.69
Step-by-step explanation:
Answer:
4.69041575982
Step-by-step explanation:
IS THIS CORRECT NEED BEFORE MARCH 11 2021
Answers
Answer:
yes can i have brainliest
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I solved the question
Solve to x to the nearest foot
Answers
Answer:
x= 1325 ft (nearest foot)
Step-by-step explanation:
Please see the attached pictures for the full solution.
I WILL MARK BRAINLIST
The "Converse of the Pythagorean Theorem" states that if the sum of the square of the legs is = to the square of the hypotenuse then the triangle is a right triangle
TRUE
FALSE
Answers
Answer:
its true
Step-by-step explanation:
CAN YOU PLEASE MARK ME BRAINLIEST THANK YOU AND HAVE A NICE DAY!
Hey guys I need some help with this problem; Will mark brainliest :)
Answers
Answer:
The red one
Step-by-step explanation:
Branlies plz Thank you!! :)
Answer:
65 pi, the closest one is 204.1 in^2
Step-by-step explanation:
This question is asking a surface area for a cylindrical bowl with top is empty, so you need to find one circle base and one rectangular side, as the hight is 4in, and wide is 10 inch, use the wide to find the circumference of the rectangular side, which is C = pi*d = 10 pi. Then the area for the rectangular side is A = 40 pi, and the area for the circle is A = pi*r^2 = (10/2)^2 * pi = 25 pi. Then add them together get Total area = 40 pi + 25pi = 65 pi or 65 * 3.14 = 204.1 in^2
True or false?
All quadrilaterals are also rhombuses.
Answers
Answer:
It's false
All quadrilaterals are also rhombus, False
Answer:
The answer is true. A rhombus is a quadrilateral that has four sides that are equal. This definition can also be applied for a square.
Step-by-step explanation:
What is the equation of the line (-1,-4) (1,0)
Answers
Answer:
what do you mean by equation
Step-by-step explanation:
i was able to get you the slope form of it if thats okay
y=2x-2 in order to find the slope use the pdf i attached it should provide an example
Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed o. Find each of the following for the given values ofr, w, and t r= 10 cm, 6 = radian per sec, t = 4 sec 6 radians (round to the nearest thousandths) a) What is the angle generated by P in time t? cm (round to the nearest thousandths) b) What is the distance traveled by P along the circle in time t? c) What is the linear speed of P? cm/sec (round to the nearest thousandths)
Answers
The sum if 2 numbers is 13. Their difference is 3. What are the 2 numbers? Graph these numbers
Answers
Answer:
The two numbers are 8&5
Step-by-step explanation:
13 = x + y
y = x-3
13 = x+(x-3)
13=2x-3
16=2x
x=8
y=1(8)-3
y=5
Please help find the missing length
Answers
Answer:a²=b²+c² in a right angle triangle so answer is root 136
Step-by-step explanation: