To express 5 √ 4 using rational exponents, you write it as 5¹ × 4¹⁄₂, as the square root of a number is that number raised to the power of ½.
Explanation:To write 5 √ 4 using rational exponents, we must express the square root of 4 as a power. From our mathematical rules, we know that a square root can be written as an exponent of ½. Therefore, √4 is equivalent to 4 to the ½ power (4¹⁄₂).
Considering the expression 5 √ 4, we apply the same concept. The 5 is actually 5 to the power of 1 (5¹), and the square root of 4 is 4 to the ½ power. When these are multiplied together, we combine the base of 5 with the exponent expressions, remembering that the 4¹⁄₂ needs to be multiplied by 5¹. Consequently, 5 √ 4 becomes 5¹ × 4¹⁄₂.
The expression 5√4 can be written using rational exponents as 5 * [tex]4^{1/2}[/tex].
To express the given expression 5√4 using rational exponents, we start by understanding what the square root represents in exponential form. The square root of a number x can be written as [tex]x^{1/2}[/tex]. For our given expression, we need to follow these steps:
Rewrite the square root in exponential form. Since √4 is the same as [tex]4^{1/2}[/tex], we can replace √4 with [tex]4^{1/2}[/tex].Combine this with the provided factor of 5, giving us 5 *[tex]4^{1/2}[/tex].Therefore, the expression 5√4 can be written as 5 * [tex]4^{1/2}[/tex] using rational exponents.
Question: y=x+11
y=-x+4
Choices:
Neither
Parallel
Perpendicular
Answer:
er
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!!!!
What ratio is equivalent to 14/21?
A. 2/3 B. 1/7 C. 3/4 D. 2/7
Answer:
A. 2/3
Step-by-step explanation:
What you do is you reduce the fraction 14/21 to get 2/3 as your answer.
Answer:
A:2/3
Step-by-step explanation:
Since 14/21 simplifies to 2/3,14/27=2/3For anymore help= @ntarv1234 on brainlyA tug boat traveled -15 miles in 0.3 hours what was its velocity
Answer:
22.35 m/s
Step-by-step explanation:
The distance is always a positive unit, so distance traveled (d) = 15 miles
Time (t) = 0.3 hours
Time (t) = 0.3 * 60 = 18 minutes
(1 hour = 60 minutes)
Velocity (v) = ?
The formula of distance is: d = v*t
=> v = d/t = 15/18 = 0.83 miles/minute
we can also calculate velocity is meter/sec, for that
1 minute = 60 sec
=> 18 mins = 18*60 = 1080 sec
1 mile = 1609.34 meters
=> 15 miles = 15 * 1609.34 = 24,140 m
hence,
v = 24,140/1080 = 22.35 m/s
If point F is translated 2 units to the left and 2 units down, what are the coordinates of F'?
Answer:
(-4,-5)
Step-by-step explanation:
Just use the graph and follow the translation.
Which fraction is less than 5/8
Answer:
one-half, 3/8, 1/4, 1/8.
Step-by-step explanation:
Fraction 3/8 is less than 5/8.
If we choose the numerator less than 5 and keep the denominator same, then we will get a fraction less than 5/8.
Lets choose 3, which is less than 5.
So the fraction 3/8 is less than 5/8.
Learn more: https://brainly.com/question/10241002
Connor is earning money by mowing lawns over the summer. The amount of profit he makes from mowing x lawns is modeled by the function p(x)=20x-75. What is the most appropriate domain of the function? A. All rational numbers B.all non-negative rational numbers c. All integers d. All non-negative integers
Answer:
Try D
Step-by-step explanation:
The numbers should always be whole, and if you're profiting, you'll never lose money. It should always be a positive number. Hopefully this helps! Good luck
Profit function have domain as set of all non-negative number thus domain of the profit function p(x)=20x-75 will be all non-negative integers so option (D) will be correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given the profit function,
p(x)=20x-75
The graph of this function has been shown below which is representing the domain as (∞,∞) but in the our profit function x is the number of lawns that mowing so it will be a whole number and positive number.
Since domain is the set of all x's value thus it will be domain of the function.
Domian → [0,∞).
Hence "Domain of the profit function p(x)=20x-75 will be all non-negative".
For more details about the range and domain of the function,
brainly.com/question/28135761
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A rectangle has one side that measures 10 units and another side that measures 4 units.Circle the two measurement units that show the length and width of another rectangle with the same perimeter.
4 units 5units
8 units 3 units
9units 7 units
Answer:
None of the above
Step-by-step explanation:
10 + 10 + 4 + 4 = 28
First choice
4 + 4 + 5 + 5 = 18 X
Second choice
8 + 8 + 3 + 3 = 22 X
Third choice
9 + 9 + 7 + 7 = 32 X
Therefore there is none that are the same.
Answer:
None of the above.
Step-by-step explanation:
A rectangle has one side that measures = 10 units
the another side that measures = 4 units
Perimeter = 2( Length + width )
Perimeter of this rectangle = 2( 10 + 4 )
= 2(14) = 28 units
We have to find the same measurement units that shows the same perimeter.
1. 4 units 5 units
Perimeter = 2( 4 + 5 ) = 2 × 9 = 18 units
2. 8 units 3 units
Perimeter = 2( 8 + 3 ) = 2 × 11 = 22 units
3. 9 units 7 units
Perimeter = 2( 9 + 7 ) = 2 × 16 = 32 units
There are no another rectangle with the same perimeter.
the weight of an object on the moon.m.is about 1/6 of the object weight on earth on,e, which equation reprenstt the approximate weight of an object on the moon in terms of the object weight on earth
Does anybody get this or am I the only one confused?
Answer:
Step-by-step explanation:
nah man. i dont get it either
I think all you gotta do is type the word two-way table, just like it says inside the box. But after looking at this for a while I think that the only thing you can do is that.
So I guess just type what it says inside the box
find the vertex for this function. f(x)=-2x^2+8x-11
[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{8}{2(-2)}~~,~~-11-\cfrac{8^2}{4(-2)} \right)\implies \left( 2~~,~~-11+\cfrac{64}{8} \right) \\\\\\ (2~~,~~-11+8)\implies (2~~,~~-3)[/tex]
The axis of symmetry for this parabola
Y equals -5xsquared plus 10x-14
Answer:
X=1
Step-by-step explanation:
Solve for the vertex of the parabola: (v)
The axis of symmetry for a parabola will always be x=v.
Graphing the function shows the vertex at (1,-9) so the line denoting the axis of symmetry will be x=1.
Please help! f(x)=3x-8 ; {-2,-1,0,1,2}
What is the range?
A: {-15,-11,-8,-5,-1}
B: {-14,-10,-9,-4,-2}
C: {-14,-11,-8,-5,-2}
D: {-14,-10,-8,-4,-2}
Giving brainliest to whoever answers correctly!
The correct answer is (C) !
When you change the value of x, the result changes by 3 each time.
I think the answer is c
select each type of line of symmetry that the following figure has, if any.
• vertical
•horizontal
•diagonal
•none
Answer: Vertical symmetry
Step-by-step explanation: A vertical line divides the image into two halves. But it cannot be divided horizontally or diagonally so it is vertical symmetry.
What is 14 5/6 + 18 2/9 ? Express your answer in lowest terms.
plz answer quickly will give brainliest
Answer:
it is 32 and 7 over 15
Step-by-step explanation:
because when u add 14 and 18 u get 32 and then you add your numerator and your denimator so u will see that it is 32 and 7 over 15
The sum of 14 5/6 and 18 2/9 is 33 1/18, after adding the whole numbers and fractions separately and simplifying.
To find the sum of 14 5/6 and 18 2/9, we must first add the whole numbers and then the fractions separately. The whole numbers add up to 14 + 18, which is 32. To add the fractions 5/6 and 2/9, we need a common denominator, which is 54. Now converting the fractions we get (45/54) + (12/54). Adding these gives us 57/54, which is equal to 1 3/54 or reduced to its lowest terms, 1 1/18. Adding this to the sum of the whole numbers we get 32 + 1 1/18, which equals 33 1/18.
If the interest earned is $25 and the principal is $500 and the interest rate is 5%, what is the time?
Formula = simple interest= principal times annual interest rate times the time in years
To find out how long it takes to earn $25 in interest on a principal of $500 at a 5% annual interest rate, use the simple interest formula. The calculation reveals it takes 1 year.
Explanation:The question asks us to determine the time it takes to earn $25 in interest on a principal of $500 at an annual interest rate of 5% using simple interest. The formula for simple interest is Interest = Principal × Rate × Time. We can rearrange this formula to solve for time (Time = Interest / (Principal × Rate)).
Given that the interest earned is $25, the principal is $500, and the rate is 5% (0.05 in decimal form), we substitute these values into our rearranged formula to find the time.
Interest = $25Principal = $500Rate = 5% or 0.05Substituting these into the formula gives us:
Time = $25 / ($500 × 0.05) = $25 / $25 = 1 year
Therefore, it takes 1 year to earn $25 in interest at a 5% annual rate on a $500 principal using simple interest.
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
A) −1
B) −2
C) −3
D) −4
Answer:
-1
Step-by-step explanation:
i just got it wrong
What is £21,000 split at a ratio of 2:5
Answer:
£6,000 and £15,000.
Step-by-step explanation:
This split works out to 2 fractions: 2 / (2 + 5) = 2/7 and 5/(2+5) = 5/7.
So the required amounts are £21,000 * 2/7 = £6,000 and 5/7 * 21,000
= £15,000.
Which statement describes what these four powers have in common?
Answer:
They are all squared
Step-by-step explanation:
Answer:
All the powers have value of 0 because the exponent is zero
Step-by-step explanation:
Given the expression;
in the form 2³ ; The number 2 is called the base, and the number 3 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
In this case; All the powers have a value of Zero because the exponent of all the expressions is zero.
What is the value of x?
Answer:
x = 3
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠TRQ is an external angle and ∠RTS, ∠RST are interior angles, hence
45x = 25x + 57 + x
45x = 26x + 57 ( subtract 26x from both sides )
19x = 57 ( divide both sides by 19 )
x = 3
Answer:
x = 3
Step-by-step explanation:
We are given expression for measure of angles of two corners of a triangle, while for the third corner, we know the exterior angle.
We know that the sum of all three angles of a triangle is 180°.
So we can write it as:
[tex] 2 5 x + ( 5 7 + x ) + ( 1 8 0 - 4 5 x ) = 180 [/tex]
[tex]25x+x-45x=180-180-57[/tex]
[tex]-19x=-57[/tex]
[tex]x=\frac{-57}{-19}[/tex]
x = 3
How do I find the radius of a circle
Answer: 17
Step-by-step explanation: To find the radius of Q, you'd have to solve for x. So, 4x+3=7x-6, which results in x equaling 3. Next, bisect the chord EF, so it will be 8. Solve for QA, which is 15 and use the pythagorean theorem to solve: x^2=15^2+8^2 -> x=17
Since no one knows what type of rock my rock was here's some nice juicy points
Answer:
thank you
Step-by-step explanation:
Answer:
i mean its a pretty nice rock i'll give you that much lol
Step-by-step explanation:
If f(x) = 5x + 4, which of the following is the inverse of f(x)?
set f(x) equal to y
y = 5x + 4
swap x and y
x = 5y + 4
make y the subject
x - 4 = 5y
[tex]y = \frac{x - 4}{5} [/tex]
replace y with f^-1(x)
[tex]f(x) = \frac{x - 4}{5} [/tex]
What is the value of 9 2/3 - 4 1/5 ?
[tex]\bold{Hey\ there!}\\ \\ \bold{9\frac{2}{3}=9\times3+2=27+2=29\rightarrow\frac{29}{3}}\\ \\ \bold{4\frac{1}{5}=4\times5+1=20+1=21\rightarrow \frac{21}{5}} \\ \\ \\ \bold{\bullet \ \frac{29}{3}- \frac{21}{5}} \\ \bold{\bullet \ 3\times5=15}\\ \bold{\bullet \ \frac{15\times0+82}{15}= 15\times0=0\rightarrow 0+82=82} \\ \bold{\bullet\ \boxed{\boxed{\bold{Answer:\frac{82}{15}\ \underline{or} \ 5\frac{7}{15}}}}}[/tex] [tex]\checkmark[/tex]
[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
The value of 9 2/3-4 1/5 number is 5 7/15 .
To find the value of 9 2/3 - 4 1/5, we first need to convert each mixed number into an improper fraction. For 9 2/3, the improper fraction is (9 × 3 + 2)/3 = 29/3. For 4 1/5, the improper fraction is (4 × 5 + 1)/5 = 21/5.
Next, we need to find a common denominator to subtract these fractions. The least common multiple of 3 and 5 is 15, so we convert each fraction to have this common denominator. The first fraction becomes (29/3) × (5/5) = 145/15, and the second fraction becomes (21/5) × (3/3) = 63/15.
Now we can subtract the second fraction from the first: 145/15 - 63/15 = (145 - 63)/15 = 82/15. To convert this back into a mixed number, we divide 82 by 15 to get 5 with a remainder of 7, so the mixed number is 5 7/15.
Therefore, the answer is 5 7/15.
An ant is 2.0x10^-2 meters long.if you put 10 million ants in a line, how long is the line ?
A.200 m
B.2,000 m
C.20,000 m
D.200,000 m
Answer:
2.0*10^5 meters
Step-by-step explanation:
To answer this question, multiply
2.0*10^(-2) meters by 10 million, that is:
2.0
------ * 10*10^6 meters
10²
This expression simplifies to:
2.0*10^5 meters (which corresponds to answer D).
An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters.
An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters (D).
How to solve this problem
To solve this take (83+1/3) times 10^-2 and then multiple that value by 375. The answer is 312.5
The answer is 311.25
Step-by-step explanation:Converting 83 1/3 to simple fraction we get
83 1/3 = 83
Now 83 % of 375 will be
83/100 * 375
= 311.25
PLEASE HELP ASAP
Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°
Find: m∠EFO
Based on the inscribed isosceles triangle shown below, the measure of angle EFO is 62°.
In Euclidean Geometry, the measure of an intercepted arc is equal to the central angle of a circle. Based on the information provided above, the measure of arc FE is equal to 56°, so the measure of the central angle FOE must be equal to 56°.
By critically observing triangle FOE, we can logically deduce that it is an isosceles triangle with base FE because segments FO and EO represent the radii of circle O.
Since an isosceles triangle comprises two (2) side lengths that are equal and two (2) base interior angles that are congruent, we have:
FD = ED
m∠EFO ≅ m∠FEO
By applying triangle sum property to triangle FOE, we have;
m∠EFO + m∠FEO + mFE = 180°
2m∠EFO + m∠FE = 180°
2m∠EFO + 56° = 180°
m∠EFO = (180° - 56)/2
m∠EFO = 62°
Complete Question:
Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°
Find: m∠EFO
I don’t know how to go about answering this, please help.
Answer:
the first square that equals 625 goes to the 125 box
the second square that equals 81 goes to the 243 box
the third square that equals 32 goes to the 8 box
and the fourth square that equals 64 goes to the 256 box
Hope this helped :)
Step-by-step explanation:
What is the degree measure? Please help me with number three show work please!
Check the picture below.
notice, both inscribed angles are intercepting the same arcQS.
Eight less than the product of seven x
Answer:
2x - 8
Step-by-step explanation:
Product of two and a number x
⇒ 2 multiply by x
⇒ 2x
Eight less than 2x
⇒ Take away 8 from 2x
⇒ 2x - 8
Answer:7x-8 is the answer
Hope this helps!
Find the distance between the two points. (-2,-4), (4,1)
61
11
Square Root 61
Square root 22