What is the value of log 256/ log 1024
Answers
Answer:
0.8
Step-by-step explanation:
The change of base formula for logarithms can be used to find this value exactly. (Your calculator can also tell you.)
[tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]
__
Using this relation with the given numbers, we have ...
[tex]\dfrac{\log(256)}{\log(1024)}=\dfrac{\log(2^8)}{\log(2^{10})}=\dfrac{8\cdot\log(2)}{10\cdot\log(2)}=\dfrac{8}{10}\\\\\boxed{\dfrac{\log(256)}{\log(1024)}=0.8}[/tex]
Related Questions
Simplify this expression.
(√2+√3)(√5-√7)
O √5+√=2
O √10+√15-√14-√21
02√5-2√7
O 2√5 +3√5-2√7-3√7
Answers
Answer:
√10+√15-√14-√21
Explanation:
(√2 * √5) = √10
(√2 * -√7) = -√14
(√3 * √5) = √15
(√3 * -√7) = -√21
Put it all together: √10 + √15 - √14 - √21
Hope this helped :)
The simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (√2+√3)(√5-√7)
√2(√5-√7) + √3(√5-√7)
We have to apply distributive property
√2.√5 - √2.√7 + √3.√5 -√3.√7
√2×5 -√2×7 +√3×5 -√3×7
√10-√14+√15-√21
Hence, the simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
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Select all of the following that are quadratic functions.
x=3y²-6y+5
y+3=-2x2+5
y=2x2−8x+6
y=-7x-4
y-3x=4x³-x² +9
y = 5 x(x +9)-8
y-2x²=3x-2x²+4
DONE
Answers
The quadratic functions are given as below:-
x = 3y² - 6y + 5
y = 2x² + 2
y = 2x² -8x + 6
y = 5x² + 45x -8
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
As we know that the function which will have the highest power of the variable equal to 2 will be called a quadratic polynomial.
So from the given expressions following equations has a degree of 2.
x = 3y² - 6y + 5
y = 2x² + 2
y = 2x² -8x + 6
y = 5x² + 45x -8
Therefore the above equations are quadratic functions.
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Graph x > -1 on the number line
Answers
Number Line:
Closed Circles are used when signs are "≤" or "≥"
Open Circles are used when signs are "<" or ">"
The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"
Graph should look like this:
Find f(5)+j(-2) if f(x)=12-3x ind j(x)=x² + 4x − 1
Answers
The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Answers
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
HELP ASAP PLEASE (answer all parts please)
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret, share, and compare. Interpret the meaning of the confidence interval, compare your results with your partner, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
Answers
How to calculate the probability?
The confidence interval based on the information will be:
= 3.85 - 2.09(1.348 / ✓20)
= 3.22
Also, 3.85 + 2.09(1.348 / ✓20) = 4.48
The confidence interval simply means that one is 95% confident that the true mean is between 3.22 and 4.48.
factorise fully 8x2-4x
Answers
Answer:
4x(2x-1)
Step-by-step explanation:
Using GCF, you can be able to take out a factor of 4x from 8x^2 and 4x.
What is the quotient?
X+5/3x^2 + 4x+5
Answers
Answer:
3x - 11
Step-by-step explanation:
x + 5/ 3x-11
3x - 11 is the quotient
The floor of a rectangular room is 300 cm long and 180 cm wide. to carpet the floor? How many small tiles are needed
Answers
The number of small tiles are needed is 300 tiles.
Number of tiles neededUsing area of rectangular formula
Area of the room = length(l) × breadth (b)
Area of the room=300 cm×180 cm
Area of the room=54,000 cm²
Number of tiles needed = Area of rectangular region / Area of one tile
Number of tiles needed=54,000/180
Number of tiles needed=300 tiles
Therefore the number of small tiles are needed is 300 tiles.
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Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greasiest possible number of intersections for these graphs?
Answers
The greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
As we know the standard form of a quadratic equation is:
[tex]\rm Y = \rm ax^2+bx+c[/tex]
And a linear equation can be written as:
y = mx + d
Equating both the expression:
ax² + bx + c = mx + d
ax² + (b-m)x + c - d = 0
The above equation is an also quadratic equation, and we know that the quadratic equation have maximum two roots.
Thus, the greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
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A store sells 6 batteries for $4.95. Which deal is a better buy? OA. 2 for $1.80 OB. 4 for $3.99 O C. 8 for $6.99 D. 10 for $7.50
Answers
Answer:
D
Step-by-step explanation:
7.50/10=0.75
0.75*6=4.5
So, you will get 6 batteries for $4.50 which of course is less than $4.95.
Find the 60th term of the arithmetic sequence -27, -24, -21, ...−27,−24,−21,...
Answers
Answer:
150
Step-by-step explanation:
The common difference, d, is +3 add +3 to find the next term.
to find the second term add +3 to the first term
to find the third term add 2 * +3
to find the 60th term add 59 * +3 to the first term
-27 + (59*3) = 150
2(z+5) +5(z+ 2) = 10(z − 1)
Answers
Answer:
z = 10
Step-by-step explanation:
First apply multiplication to inside the parenthesis:
2(z+5) = 2z + 10
5(z+ 2) = 5z + 10
10(z − 1) = 10z - 10 now write the full equation
2z + 10 + 5z + 10 = 10z - 10 add like terms
7z + 20 = 10z - 10 transfer like terms to the same side of the equation
20 + 10 = 10z - 7z
30 = 3z divide both sides by 3
10 = z
Help please
I need to now asap
Answers
Answer:
x = 55.866 ft.
Step-by-step explanation:
39^2 + 40^2 = x^2
1521 + 1600 = 3121
sqrt(3121) = 55.8659
Rounded = 55.866
Make sure to add the ft.
Answer:
Step-by-step explanation:
a²+b²=c²
39²+40²=c²
3121=c²
c=√3121
c=55.866 to 3.d.p
What is the answer to this question
Answers
Answer:8000 i think
Step-by-step explanation:
=20 to the power of nine-20 to the power of four=20 to the power of three.
20 to the power of three is 8000.
Hope this helps.
HELP ASAP 50 POINTS - WILL MARK BRAINLIEST
At U.S. Cellular Field, Home of the Chicago white Sox, The distance from home plate to the center field fence is 400 ft. and the height of the center field fence is 8 ft. If in this project, you assume that a batter always hits the ball 2 feet above the ground, then the angle of elevation rounded to the hundredths place, needed for a baseball to just clear the centerfield fence at US cellular Field is
How do you know that a ball hit 2 ft off the ground at US cellular field will need to leave the bat at an angle of 0.86° to just clear the 8 ft centerfield fence located 400 ft from home plate? The question can be answered using trigonometry, or more specifically, the tangent ratio and its inverse. Think about it.
Draw a triangle & label it, assuming you don't know the angle of elevation. Use the underlined facts to calculate an angle of elevation of 0.86 degrees.
Answers
Answer:
0.86°
Step-by-step explanation:
The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...
Tan = Opposite/Adjacent
__
angle from the batThe geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.
For angle α, we have the relation ...
tan(α) = (6 ft)/(400 ft) = 0.015
The inverse tangent function can be used to find the angle from its tangent:
α = arctan(0.015) ≈ 0.859372°
The angle of elevation needs to be a minimum of 0.86°.
This graph shows the solution to which inequality?
(3, 3)
(-3,-1)
O A. ysx+1
OB. y> 3x+1
O C. y
O D. y²x+1
4
Answers
Answer:
Correct option is C)
given, y≥2x+1 and
y>
2
1
x−1
Answer:
D
Step-by-step explanation:
y>_2/3 x+1 (as diagram shows the deepest line that's why it should be either greater than or equal sign or less than or equal sign)
Now check those point,
we get for (-3,-1) is -1=-1 and for (3,3) is 3=3. This can be greater than bcoz it's upon the root point.
From the airport hanger H, an areoplane A is 18km away on the bearing of 115° while another aeroplane B is 29km away on a bearing of 203°. Find the difference between A and B.
I'M MARKING BRAINLIEST
Answers
The difference in distance between Aero plane A and B is; 34.67 km
How to calculate bearing?
To get the bearing;
∠H = (115 - 90) + (270 - 203)
∠H = 92°
Then, we will use cosine rule to get the distance between both Planes A and B.
d_ab = √(18² + 29² - 2(18 * 29) * cos 92)
d_ab = √(324 + 841 + 36.435)
d_ab = 34.67 km
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Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
How much space does Lacey's mom cover in frosting?
Answers
Answer:
Step-by-step explanation:
I’m not sure u didn’t even add numbers
Help please!! 10 points!
Answers
Answer:
tanG = 2
tanH = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The function tangent is the opposite side divided by the adjacent one(SohCahToa).
Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:
tan(m<G) = [tex]\frac{opposite}{adjacent}[/tex]
tan(m<G) = [tex]\frac{2}{1} = 2[/tex]
The same can be done for <H. The opposite side is 1 while the adjacent is 2:
tan(m<H) = [tex]\frac{opposite}{adjacent}[/tex]
tan(m<H) = [tex]\frac{1}{2}[/tex]
Question 2: Find the surface area of each of these spheres.
(a)
7cm
Give each answer in terms of n (you may not use a calculator)
(b)
(c)
8cm
1.1m
Answers
Answer:
a=263.76cm3
b=301.44cm3
c=41.52m3
what is the median 2 4 1 0 4 5 10 2 4
Answers
0 1 2 2 4 4 5 10 10
And take the middle number
The mediam = 4
Bret works for a printing company-each document takes 8 sheets of paper-he has 500 sheets-how many documents can he print
Answers
Answer:
He can print 62 documents
Step-by-step explanation:
500/8=62.5
He can print only 62 documents because he cannot print half a document.
Hope this helps!
If not, I am sorry.
Choose the function for this graph
Answers
Answer:
f(x)=2|x|
Step-by-step explanation:
graphing calculators work wonderz
y is inversely proportional to √x
y = 9 when x = 16
a) An equation connecting y and x can be written in the form y=k/ √x
Work out the value of k.
k=
b) Work out the value of y when x = 25
y =
c) Work out the value of x when y = 4.5
Answers
Answer:
k=36; y=1.44; x=8
Step-by-step explanation:
a) y= k/square root of x
9=k/square root of 16
9=k/4
9×4= (k/4)×4
therefore k=36
b) Using k...
y=36/25
therefore y=1.44
c) 4.5=36/x
4.5×(x)= (36/x)×(x)
4.5x=36
therefore x=8
What is the slope of the line graphed below (3,3) (0,-6)
m=
О А. -
О в. з
0 с. -3
OD. 3
-5
O
-5
(0, -6)
(3, 3)
5
Answers
The slope of the line passing through the points (3, 3) and (0, -6) is 3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the slope of line passing through points (3, 3) and (0, -6)
Plug in the values in formula.
m=-6-3/0-3
m=-9/-3
m=3
Hence, the slope of the line passing through the points (3, 3) and (0, -6) is 3.
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Find the measure of the three missing angles in the parallelogram below.
Answers
Answer:
x= 67, y= 113 , z= 67........... ...........
which of the following represents the diameter of the circle below?
Answers
Answer:
[tex]\overline{TH}[/tex]
Step-by-step explanation:
A - This is the radius of the circle (half the diameter, we are not looking for this)B - This is the center of the circle (a point)C - This is a point on the circle (also a point)D - This is the diameter of the circleThe diameter of a circle is a line that goes from one side to the other in a circle. It is the longest straight line that can be drawn in a circle. It also goes through the center of a circle.
That is the answer
- Kan Academy Advance
y’all help please and thank you!
Answers
Answer:
B i think
i examined carefully and im %75 sure that is it B
Step-by-step explanation:
im so sorry if it's wrong
Answer:
B
Step-by-step explanation:
more people prefer chicken.
because 73 people prefer chicken.
more people under 40 prefer chicken.
because 39 people prefer chicken where as only 21 people prefer steak
so the correct answer is b
Find the area of the polygon.
2 cm
3 cm
1 cm
3 cm
4 cm
Answers
Answer:
20cm²
Step-by-step explanation:
3+3=6, 4+1=5 (make it a rectangle and find the sides first)
A=6×5=30cm²
Now you can take away the invisible sides,
30-6-3-1=20