Answer:
65.45 units^3
Step-by-step explanation:
5/2 (5 divided by 2) 2.5, to get the radius,
then using the volume equation you get 65.449846-bla bla, rounding: 65.45
-Hope this helps! ❤️
Which of these expressions is equivalent to log (9^2)?
A. log (2) - log (9)
B. 2 * log (9)
C. log (2) + log (9)
D. log (2) * log (9)
Answer:
B. 2 * log (9)
Step-by-step explanation:
I put them both into my calculator and got the same answer both times.
The expression that is equivalent to log(9^2) is 2log89. Option B is correct.
According to the law of logarithm,
log (a^b) = blog a
Note that the power of the function is taken to the back of the logarithmic function.
Given the log function log(9^2), to get the equivalent expression, we will simply take the power which is 2 to the back of the log function to have 2log9
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Factor as the product of two binomials.
x
2
+
3
x
+
2
=
x2+3x+2=x, squared, plus, 3, x, plus, 2, equals
Answer:
(x+1)(x+2)
Step-by-step explanation:
Answer:
(x-1)(x-2)
Explanation:
To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2
Summary of above: (−1)+(−2)=−3
So the integers we are looking for are
−1 and −2
Therefore, x^2-3x+2=(x-1)(x-2)
What is 256/6561 as a power
Answer:
(2/3)^8
Step-by-step explanation:
Note that 2^8 = 256, and that 3^8 = 6561.
Then 256/6561 = (2/3)^8
Katie runs 3 miles in 28 minutes. At this pace, how long will it take her to run 13.1 miles? Round to the nearest minute.
Answer:
122.6 min
Step-by-step explanation:
3 miles = 28 min
13.1 miles=x
28min x 13.1 miles=366.8/3=122.6 min
Answer:
122mins
Step-by-step explanation:
3 miles take 28mins
Therefore the pace refers to the speed of travel and is 3/28
The new time of travel = distance /speed
= 13.1 / 3/28
=13.1 * 28 /3
=122.27
=122minutes
what is the equation of the line parallel to the line y= -2x +4 that passes through the point (0,-2)?
Answer:
y=-2x-2
Step-by-step explanation:
Since this line is supposed to be parallel it will have the same slope.
y=-2x+b
no plug in the (0,-2)
-2=b
y=-2x-2
The graph of a function is shown below.
D
Which statement best describes section D of the graph?
0 А.
linear and increasing
О В.
linear and decreasing
Ос.
nonlinear and increasing
OD
nonlinear and decreasing
the table shows the time it took a group of students to complete a puzzle
Answer:
a. 17 b. 16/24
Step-by-step explanation:
a. Find the midpoints of each class interval which is:
7.5 x 2 = 15
12.5 x 9 = 112.5
17.5 x 5 = 87.5
22.5 x 5 = 112.5
27.5 x 3 = 82.5
Add all of these up to give 410
Add up the total of the frequency column which is 24
410 / 24 = 17.0833.....
Rounded to 2 significant figures, the answer is 17
b. Add together all the people under 20 which totals to 16 and put this over the total of 24 to give the fraction 16/24
The estimated mean time it took the students and the fraction of students who finished in less than 20 minutes is 17 and 2/3 respectively.
The mean of a grouped distribution can be written as :
Mean = Σ(F × X) / ΣF F = frequency ; x = midpointLet's calculate the midpoint :
Midpoint = (Lower + Upper boundary) / 2
X ____ F __ FX
7.5 ___2 __ 15
12.5__ 9 __ 112.5
17.5 __ 5 __ 87.5
22.5 _ 5 __ 112.5
27.5 __3 __ 82.5
_____24 __410
The mean of the distribution = 410 ÷ 24 = 17.08 = 17 minutes
2.) Fraction of students that finished in less than 20 minutes :
Number of students who finished in less than 20 minutes = (2 + 9 + 5) = 16
Total number of students = 20
Fraction that finished in less than 20 minutes = 16/24 = 2/3
Therefore, 2/3 of the students finished in less than 20 minutes.
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In ΔMNO, the measure of ∠O=90°, the measure of ∠M=39°, and MN = 5.3 feet. Find the length of NO to the nearest tenth of a foot.
Answer:
3.3 ft
Step-by-step explanation:
Side NO is opposite the angle M, so the applicable trig relation is ...
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse×Sin
NO = MN×sin(39°) = (5.3 ft)sin(39°)
NO ≈ 3.3 ft
Find AB
Round to the nearest tenth.
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
which is equivalent to sin^-1 ( sqrt 3/2 )? Give your answer
Give your answer in radians.
Answer: pi/3
Step-by-step explanation:
correct on edge 2020
The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
sin⁻¹ ( √3/2 ) = θ
Now , the value of θ is calculated by
In a triangle , sin θ = opposite / hypotenuse
So , sin θ = √3/2
The value of θ = 60°
So , the measure of 60° in radians is θ = π/3
Hence , the value of θ from the trigonometric relation is π/3
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Giving brainliest to CORRECT answer.
Answer:
D
If you put the equation into a calculator, it will show a graph of it.
Which fraction is in simplest form 4/20 6/9 5/13 14/21
Answer: 5/13
Step-by-step explanation:
Answer:
5/13 is in simplest form, because it cannot be reduced any further.
Step-by-step explanation: 4/20 can be reduced to 1/5, 6/9 to 1/3, and 14/21 can be reduced to 2/3
How do you calculate a definite integral from a graph?
will mark the branliest to first one who answers
Answer:
3 1/4
Step-by-step explanation:
3/4 + (1/3 ÷1/6) - (-1/2)
Subtracting a negative is adding
3/4 + (1/3 ÷1/6) +1/2
Parentheses first
Copy dot flip
3/4 + (1/3 * 6/1) +1/2
3/4 + 2 + 1/2
Get a common denominator
3/4 + 2 + 2/4
2 + 5/4
2 + 4/4 +1/4
2+1 + 1/4
3 1/4
The value of 8 in the hundreds place is how many times the value of the 8 in the tens place
Answer:8 in the hundreds place is 10 times the value of the 8 in the tens place.
Step-by-step explanation:its easy
The hundreds place is 10 times of the tens place.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The value of 8 in the hundreds place. If the value of the 8 is in the tens place. Then the number will be 880.
Then the number of times of the hundreds place and tens place will be given by the division of the numbers 800 and 80.
⇒ 800 / 80
⇒ 10
The hundreds place is 10 times of the tens place.
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1/4 of a foot and 2/ 3 of a foot how much shorter is 1/4 to 2/3
Answer:
.41
Step-by-step explanation:
Take what 2/3 and make it into a decimal. Then do the same with the 1/4. Then you minus the biggest number from the smallest number then it gives you .41.
if three consecutive vertices of parallelogram are A (-1,-3) B (4,2) C (-7,5) find the fourth vertex
Answer:
.
Step-by-step explanation:
.
Which statement is true?
Parallelograms are trapezoids.
A square is always a rhombus.
A rhombus is always a square.
A rectangle is a trapezoid.
Answer:
A square is always a rhombus.
Explanation:
A square has 4 sides of equal length.
Answer:
A square is always a rhombusStep-by-step explanation: trapezoids have 3 angles and 3 sides so in that case rectangles and parallelograms are not trapezoids.rhombuses aren't always squares.Which one of the following is not a fixed cost in owning a vehicle?
1 point
Gas
Insurance
Registration
Tags
Step-by-step explanation:
tags is not a fixed cost
Determine whether the equation is always sometimes or never true 2/3x+4=2x
Answer:
true
Step-by-step explanation:
x=3
The value of the variable x is 3. Then the equation is always true.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
(2/3)x + 4 = 2x
Simplify the equation, then the value of x will be
2x + 12 = 6x
4x = 12
x = 3
The value of the variable x is 3. Then the equation is always true.
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at 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?
Answer:
6 inches per 1/2 of an hour
Step-by-step explanation:
in between 4 pm and 5 pm, the water level grows by 12 inches. in between 3:30 pm and 4 pm, the water level grows by 6 inches.
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel?
In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
The linear velocity of a point on the edge of the wheel is π/2 feet per second.
In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.
The circumference of a circle is given by the formula
C = 2πr, where r is the radius of the circle.
So, the circumference of the wheel is 2π(1) = 2π feet.
Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:
Linear velocity = Circumference / Time = 2π feet / 4 seconds
Linear velocity = π/2 feet per second
So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.
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The smallest multiple of 13 is
Answer:
0
Step-by-step explanation:
The smallest (greater or equal to zero) multiple of 13 is 0
to get a positive multiple of 13 you have to multiply 13 by a natural number:
0 = 13×0
13 = 13×1
26 = 13×2
.
.
.
then the smallest one is 0.
You delete 1/8 of the messages in your email inbox. What percent of the messages did you delete
I don't have many friends to get messages in my email box
Which angle has a positive measure?
Answer:
There are two qestions that both have different answers. Here are both of them. One is B one is A
Step-by-step explanation:
Answer:
A on Edge 2023
Step-by-step explanation:
4 1/3 - (-2/3)=? This is 6th grade i-ready math
Step-by-step explanation:
The answer as a decimal is 5.16666667
Answer:
The answer is 5
Step-by-step explanation:
It is 5 because when you subract a positive number to a negative number it is realy just adding them together so 4 1/3 - (-2/3) is the same as 4 1/3+2/3
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
Step-by-step explanation:
C
Answer:
The answer is C
Step-by-step explanation:
I took the test and got it right :)
hopefully this helps you :)
pls mark brainlest ;)
The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
Recall the formula Cube V = 57
s=2/64
s=64+64 +64
s= √64
s=64.64.64
Answer:
The length of a side is [tex]4in^{3}[/tex]
Step-by-step explanation:
The question is not properly formatted. here is a better format .
"The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
Recall the formula Cube [tex]v=l*l*l= l^{3}[/tex]
The problem bothers on the mensuration of solid shapes, a cube
Given data
Volume v = [tex]64in^{3}[/tex]
length l= ?
We can solve for the length by find the cube root of the volume, we have.
[tex]64= l^{3} \\l= \sqrt[3]{64} \\l= 4 in[/tex]
Answer: A or s=∛64
Step-by-step explanation: Edge2023
How does the graph of g(x) = x+5+2 compare to the graph of the parent function f(x) =
х
g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units up from f(x). Therefore, option B is the correct answer.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given functions are f(x)=x and g(x)=x+5+2.
Translation rules:
When the shape is moved towards the right by k units, then replace x with x + k.
When the shape is moved up by k units, then replace y with y + k.
So, the translation is g(x) is shifted 5 units right and 2 units up from the parent function.
Therefore, option B is the correct answer.
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Marco bought gifts for his family at the school gift shop for the holidays. Marco bought 10gifts and spent $11.50. How many of each item did he buy if friendship bracelets cost $1.50 and stickers cost $1?
Step-by-step explanation:
Marco bought 10 gifts = 11. 50
If 5 bracelets = 1.50 x 5 = 7.5
4 stickers = 4 x 1 = 4
So total cost = 7.5 + 4 = 11.5