Answer:
a^12+8
Step-by-step explanation:
let's check all the expressions
1. a^3+18
here 18 is not a perfect cube.
2. a^6+9
here 9 is not a perfect cube.
3. a^9+16
here 16 is not a perfect cube.
4. a^16+8
here 8 is a perfect cube, thus we can write above expression by using laws of exponents as
(a^4)^3+2^3
Thus, is a sum of cubes.
a^12+8
whats the answer to this?
[tex](x)(x^{2} +9x+8)[/tex]
Step-by-step explanation:GCF is a way to simplify a polynomial by separating out one factor.
GCF
GCF stands for greatest common factor. This means the GCF is the largest number that is a factor of each term.
For example, the GCF of 15 and 25 is 5 because that is the greatest common factor between the 2 numbers.
Finding the GCF
To find the GCF, first look at the coefficients of each term.
In order, the coefficients are 1, 9, and 8These numbers have no shared factors besides 1, which doesn't help because factoring out 1 does nothing.
However, next, we can move on to the variables. You can factor out variables the same way you do constants.
All of the terms share a GCF of x.Factoring Out X
The question states that we only need to do GCF to solve. So, we can just factor out x. Remember that factoring is like dividing each term by x.
The completely factored expression is:
[tex](x)(x^{2} +9x+8)[/tex]Here we have divided each term by x and then added x as a new factor in the expression.
Answer:
X(x+1)(x+8)
Step-by-step explanation:
U just have to find the comment number
HELP FACTORISE ITS DUE IN TODAY PPLEASE
Answer:
ab(7a+b-2)
Step-by-step explanation:
see the common and take out the common parr
Answer:
its all about the formula =
(a+b)2 =a2 +2ab=b2
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!!
Sally plots (−4,π)on the polar plane.
How does she proceed?
Drag a phrase to each box to correctly complete the statements.
Is this correct???
The drag phase you have given the interference would be a positive x-axis.
As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis.
The first block then should be the negative x-axis if r is positive and on the positive x-axis if r is negative.
What is the interference form?
It is a phenomenon in which two or more waves superimpose to form a resultant wave of greater or lower amplitude.
My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence.
Which would mean interference from the above statements, from the drag phase you have given the interference would be a positive x-axis.
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It takes 405 bricks to build 1 wall of a room. If there are 5 rooms (with 4 walls each), how many bricks will be needed to build all the walls?
Answer:
Bricks for 1 wall= 405
If there are 5 rooms with 4 walls,
Walls= 5 x 4= 20
Bricks= 405 x 20
= 8100
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whats 555 divided by 5
Answer:
111
Step-by-step explanation:
555÷5=111
and just to check, 5×111=555
Answer:
555 divided by 5 = 111
Step-by-step explanation:
This is common knowledge. The 5 in the hundreds place is divisible by 5 to get a quotient of 1. The 5 in the tens place is also divisible by 5 to get a quotient of 1 and the same is equally true for the 5 in the ones place.
Hence, the quotient of 555/5 = 111
Hope this helps! :D
An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90pi inches per minute, what is the diameter, in inches, of the circular path?
Answer:
Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.
Step-by-step explanation:
Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:
πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.
But, it is given that the circular speed of the object is 90π inches per minute. So,
90π = 15πr
r = 6 inches
Since, diameter is the double of radius, d = 2r = 12 inches.
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__________ typically are used to display continuous measures.
The histograms typically are used to display continuous measures.
Charts TypesThere are different types of charts: histogram, line chart, pie chart, and others.
The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.
From the explanation, it is possible to identify the histograms typically are used to display continuous measures.
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Kevin and Randy Muise have a jar containing 65 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $8.65 How many of each type of coin do they have?
The number of quarters or nickels Kevin and Randy Muise have in the jar is 27 and 38 respectively.
Simultaneous equationA nickel = 5 centsA quarter = 25 centsn + q = 65
0.05n + 0.25q = 8.65
From equation (1)
n = 65 - q
substitute n = 65 - q into (2)
0.05n + 0.25q = 8.65
0.05(65 - q) + 0.25q = 8.65
3.25 - 0.05q + 0.25q = 8.65
- 0.05q + 0.25q = 8.65 - 3.25
0.20q = 5.40
q = 5.40/0.20
q = 27
Substitute into (1)
n + q = 65
n + 27 = 65
n = 65 - 27
n = 38
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what is the mean of 4,7
Answer:5.5
Step-by-step explanation:first we have to plus 4 and 7 and then we to divide the answer we get by 2 because there are only 2 digits and then the mean is 5.5
hope it helps
Passengers under the age of 8 and whose height is less than 57 inches must be in the _________ seat of a vehicle.
Passengers under the age of 8 and whose height is less than 57 inches must be in the back seat of a vehicle.
When you journey in the backseat of a automobile, you take a seat within the row of seats behind the motive force. Kids once in a while combat over the front seat, not wanting to take a seat within the backseat. you may tour within the backseat of a car except you're the driver or are using a two-seat sports activities vehicle.
The cushion in which the driving force or passenger sits is either known as a horizontal cushion or seat cushion. The back of the automobile seat is called the seat again however it could additionally be called a backrest.
An infant protection seat every so often referred to as an toddler protection seat, infant restraint device, baby seat, child seat, car seat, or booster seat is a seat designed particularly to shield youngsters from injury or death throughout automobile collisions.
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Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Both functions are increasing, but function f increases at a faster average rate. B. Only function f is increasing, but both functions are negative. C. Both functions are increasing, but function g increases at a faster average rate. D. Only function f is increasing, and only function f is negative.
The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.
Given the table
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
We have to choose which statement describes better about function
Let us assume [tex]f(x)=ab^x+c[/tex]
at x=0, f(0)=-10
So, -10 =a+c
Similarly, by satisfying the above table in the f(x)
[tex]f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}[/tex]
[tex]f'(x) > 0[/tex]
So we can say that f(x) is an increasing function.
[tex]g(x) = - 18 (\frac{1}{3} )^ x + 2[/tex]
[tex]g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)[/tex]
ln(1/3) < 0
So, g^ \prime (x) > 0
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x) [tex]g'(x) > f'(x)[/tex]
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
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Which are two possible reasons for the change within the frog population?
–3.2, 4.8, –7.2, 10.8, …
The given sequence;–3.2, 4.8, –7.2, 10.8, is a geometric progression common ratio of -1.5.
What is a geometric series?When all the terms of a geometric sequence are added, then that expression is called geometric series.
The given sequence ;
–3.2, 4.8, –7.2, 10.8, …
The common ratio
= -4.8/ 3.2
= - 1.5
The terms having a common ratio of -1.5 best describe the relationship between the successive terms in the sequence of the terms.
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The first term of an arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the last term is 81.
Answer:
n = 53
Step-by-step explanation:
the sum to n terms of an arithmetic progression is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 3 and a₅ = 9 , then
3 + 4d = 9 ( subtract 3 from both sides )
4d = 6 ( divide both sides by 4 )
d = 1.5
then solving for n
3 + 1.5(n - 1) = 81 ( subtract 3 from both sides )
1.5(n - 1) = 78 ( divide both sides by 1.5 )
n - 1 = 52 ( add 1 to both sides )
n = 53
there are 53 terms in the progression
Answer:
53 terms
Step-by-step explanation:
Finding common difference :
a = 3a + 4d = 94d = 6d = 1.5Solving :
a_{n} = a + (n - 1)d81 = 3 + 1.5n - 1.579.5 = 1.5nn = 53what is the logarthic form
Answer:
Step-by-step explanation:
The answer is (C).
Kelly brought a pair of sneakers for 35.00 she also brought a pile of different laces. Each set of laces,l, costs 3.00. Write a variable expression to show how Kelly could calculate her total cost
Answer:
35+3I
Step-by-step explanation:
35+3I
help______________________________________
The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.
Meaning of Simultaneous Equation.A simultaneous equation can be defined as an equation that possesses two unknowns and one constant.
The solution to the problem can only be gotten by solving it side by side with another equation of the same format.
In conclusion, The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.
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Which piecewise defined function is shown on the
graph?
f(x) =
f(x)
f(x)=
f(x) =
DONE
x+ 2, if 0 < x <4
x-3,if 4 < x <8
x+2, if 0≤x≤4
x-3,if 4 ≤x≤8
Intro
x+2, if 0 < x≤4
x-3, if 4 < x≤8
[x+2,if 0≤x <4
x-3, if 4 < x <8
10
8
20
2
9
8
x
10
Answer: (4)
Step-by-step explanation:
The first part has a closed hole at x=0 and an open hole at x=4, so it should be [tex]0 \leq x < 4[/tex].
This eliminates all the options except for (4).
The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A function that is based on a series of intervals is known as a specific goal. The absolute value serves as a frequent illustration. Other piecewise functions include the Boolean stepping, rectangle, and triangle functions.
The slope of the line is one. And the y-intercept is 2 and -3. Then the equation of the line is given as,
f(x) = x + 2, 0 ≤ x < 4
f(x) = x - 3, 4 ≤ x < 8
The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.
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2m² + 2m – 12 = 0
m=?
a. 2,-12
b. 3,1
c. 1.-3
d. -2.2
Step-by-step explanation:
F1/A1 = F2/A2
10/2=F2/4
5=F2/4
F2=5x4
F2=20
what is te equation of the line that passes through the point (6, -5) and is perpendicular to the line represented by y= 3/4x +2?
Help me pls
HELP PLEASE GIVING BRIANLEST
Answer:
Maybe the answer will be C. P (A and B )
Ans: C
Explanation:
I think it is option c , P(A and B)
as this is the only option which has the value of 80, which we got from the table
Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct?
Answer:
Summer is incorrect
Step-by-step explanation:
It definitely matters which side is side "c". Side "c" must be the hypotenuse (the side across from the right angle).
The other two sides are the legs (sides touching the right angle), and either leg can be "a" or "b", but the hypotenuse must be "c".
Take the equation, a² + b² = c², and subtract c² from both sides:
[tex]a^{2} +b^{2} -c^{2} =0[/tex]
It won't matter which leg is "a" or "b", because of the commutative property of addition. Note that "a²" and "b²" are added together, and due to the commutative property of addition, we can add in either order and get the same result.
However, since the c² term is connected by subtraction, and subtraction doesn't have a commutative property, it can't be subtracted in any order. Meaning which side it is is important.
Which inequalities are true? Select the four correct answers.
O√5<23<√6
O√5<24<√6
O√4<√5<√√55
O√√8 <3<√9
O√8<2.9<√√9
O√4 <45<√√5
The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.
√4<√5<√√55 → 2 < 2.23 < 7.41
√8<2.9<√√9 → 2.82 < 2.9 < 3
Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.
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Over a females lifetime, how many eggs will mature and travel to the uterus? 4 hundred thousand 5 hundred 4 hundred 3 hundred thousand
Over a female lifetime, about 300 hundred to 400 hundred will mature and travel to the uterus
How many eggs reach maturation and transfer to the uterus in a female lifetime?At birth, about 1 million eggs are present but by the period a person reaches adolescence, only about 300,000 are still there since a lot of follicles and oocytes would have been engaged to start the development and maturation process.
Only about three hundred to four hundred of them will ripe and ovulate over a woman's reproductive lifespan due to the decline in a woman's fertility as she matures.
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A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval
The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.
Answer:
The ratio of decay rates is 3:4. So, option D is correct.
Step-by-step explanation:
Concept: The Decay rate for any function can be calculated by the formula Decay rate = Difference in y values / Difference in x values in given interval
Decay Rate for the exponential function in the interval -2 ≤ x ≤ 0 is (4-1) / (-2-0) = 3/2.
Decay rate for quadratic function in same interval = [(4-0) ÷ -(-2-0)] = 2.
Ratio of decay rates = (3/2) : (2) = 3:4
Option D, the exponential function decays at three-fourths the rate of the quadratic function is the correct answer.
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FIND X AND Y. PLEASE HELP! I WILL GIVE BRAINLIEST!!!
Answer:
x = 20, y = 60
Explanation:
Angles which lie in a straight line sum ups to 180°
3x + 3x + 3x = 180
9x = 180
x = 180/9
x = 20
Using the same theorem,
3x + y + 3x = 180
3(20) + y + 3(20) = 180
60 + 60 + y = 180
120 + y = 180
y = 180 - 120
y = 60
or
y = 3x
y = 3(20)
y = 60
The value of x is 20° and the value of y is 60°.
What is the vertical angles theorem?According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.
As per the vertical angles theorem and vertical angles theorem,
the two angle equations as per the opposite angle and supplementary angles.
3x + 3x + 3x = 180
9x = 180
x = 180/9
x = 20
And another equation can be described as,
3x + y + 3x = 180
6x + y = 180
6(20) + y = 180
y = 180 - 120
y = 60
Therefore, x = 20 degrees and y = 60 degrees.
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¿Es necesario que los triángulos congruentes tengan el mismo tamaño?
I don't understand your question
Sorry!!! :)
How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?
The length, width and height of the rectangular prism is ∛10
How to determine the dimensions?The volume is given as:
Volume, V = 10m^3
For a minimised volume, we have:
Length = Width = Height
This means that:
V = L^3
So, we have:
L^3 = 10
Take the cube root of both sides
L = ∛10
Hence, the length, width and height of the rectangular prism is ∛10
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Marquis wrote the linear regression equation y = 1.245 x minus 3.684 to predict the cost, y, of x songs purchased. marquis spent $40 on songs. which is the best estimate of the number of songs that marquis purchased? 29 32 35 46
Answer:
35
Step-by-step explanation:
1. Write the equation
y = 1.245x - 3.684
2. Set y = 40, since that is the cost of the songs he purchased.
40 = 1.254x - 3.684
3. Add 3.684 to both sides
43.684 = 1.254x
4. Divide by 1.254
x = 35.0875502
Answer:
Answer is C.) 35
Step-by-step explanation:
Estimate the Value of 196/0.499
Answer:
The value of the expression will be "392.79".
Step-by-step explanation:
~ The technique of dividing a quantities into equivalent portions as well as determining however many equal components may be formed, is determined as a division.
~ It is denoted by "/".
According to the equation, the expression is:
→ 196/0.499
By applying the division, we get
→ 392.79
Answer:
392
Explanation:
Note that we are estimating, not finding the actual value. 0.499 is very close to 0.5, so to estimate this expression, we can do 196 ÷ 0.5. Dividing a number by 0.5 is the same as doubling it, so this can also be seen as
196 · 2, which is 392.
Hope this helps !! :D
The actual answer is the other one, but again, you're finding an estimate!
i need a little help please i am so bad with exponents right now -
Answer:
the answer is -1/8
Step-by-step explanation:
