Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression
can be found using the rules of indices.
[tex]\displaystyle \underline{x^{\frac{5}{2} } \ is \ equivalent \ to \ x^2 \cdot\sqrt{x}}[/tex]Reasons:
The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]
Required:
To find the equivalent expression
Solution:
According to the rules of indices, we have;
[tex]a^{n + m} = a^n \times a^m[/tex]
[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]
Therefore, the above expression can be expanded as follows;
[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]
[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]
Which gives;
[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]
Therefore;
[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]
[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]
Learn more about the rules of indices here:
https://brainly.com/question/8959311
How do you solve this??
Answer:
what
Step-by-step explanation:
which questions you are telling there is no question to answer you!!
2/10 = 20%= 0.2
True or false
Answer:
True
Step-by-step explanation:
Farhad George and Tom each did a test here are the marks for the test George drew this bar chart to show the mask they got the butcher is not fully correct write-down two things that are wrong with George bar chart
Answer:
where is the bar chart can u post an image to help
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Answer:
20
Step-by-step explanation:
I'm pretty sure its 20 but I could be wrong but 20 is my best guess.
Answer:
16 of the 33 plays none.
Step-by-step explanation:
From the list, we get that 18 students play football, 1 basketball, and 7 both.
What we need to do here is add up 18 and 1
then we subtract 19 by 7 to cancel out the people who play both
and then subtract the total number of 33 by 17,
which gives you 16.
Form a number with: 3 in the tens place, 4 in the thousands place, 6 in the ones place, 9 in the hundreds place, and 5 in the ten thousands place.
George and Marylin were both given the following example to complete on their
exam:
(152 +122-24x)
3.x
Below is each of their answers:
George
Marylin
(15x' +12° -24x)
3.x
(158° +12r -24x)
Зr
5r? +4x-8
5x +4x? - 8x
Which student is correct?
Explain the mistake that the other student made (Be detailed in your answer)
Answer:
this is not my level of math sorry i cant help you :(
Step-by-step explanation:
sorry
Write the equation of a line with the given slope that goes through the given point.
7) through: (3, -5), slope = -1
5
8) through: (3, 2), slope
3
Answer:
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
7) y +5 = -(x -3)
8) y -2 = 5/3(x -3)
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
A rental car company charges $33.73 per day to rent a car and $0.06 for every mile
driven. Elizabeth wants to rent a car, knowing that:
She plans to drive 450 miles.
• She has at most $430 to spend.
•
Which inequality can be used to determine x, the maximum number of days
Elizabeth can afford to rent for while staying within her budget?
Answer:
430 > 33.73x + 27 ----> x < 11
Step-by-step explanation:
The inequality describes the total amount that can be spent for a whole number of days. To solve for the number of days, solve for x (x<11.95). Because she can't rent for only a part of a day, and because she can't spend more than $430, the inequality becomes x<11.
Answer:
Step-by-step explanation:
33.73x + 27 <= 430
0.06 is for every mile. She plans to drive 450 miles. So 0.06 times 450. Which is 27.
Then your have the 33.73 for each day for the rent of the car. We don't know how many days so we'll just put x.
Molly has biweekly gross earnings of $839. 52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim? a. 1 b. 2 c. 3 d. 4.
Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.
Given that,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
We have to determine,How many withholding allowances does Molly currently claim?
According to the question,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.
Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
Therefore,
It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.
So he must have possessed at least 1 allowance previously and added 1 more.
So, the minimum number of allowance possessed by Molly = 2
Hence, Molly currently claims 2 withholding allowances.
For more details about Income Tax refer to the link given below.
https://brainly.com/question/1708567
Write an explicit formula for a_nth term of the sequence 18, 6, 2, ...
Answer:
Step-by-step explanation:
find the value of x from the following figure
Answer: 70°
Oki so...
The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°
Line PSR is a straight line and a straight line angle is 180°
So, 180-110=70° (angle QSR)
Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°
Simply, 180-(40+70)
This comes 70. So x is 70°
How many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0
Answer:
4 complex rootsStep-by-step explanation:
The easiest way is to use a graphing tool and solve it graphically.
We did it with Desmos and it shows 3 real roots, see below.
The polynomial is of degree 7, hence it should have 7 roots.
Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots
Answer:
4 complex roots
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?
Answer:
49 hot dogs, 77 sodas
Step-by-step explanation:
2.25h + 1.5s = 225.75
h + s = 126, so s = 126 - h. Substitute that into the first equation.
2.25h + 1.5(126 - h) = 225.75
Solve for h
2.25h + 189 - 1.5h = 225.75
0.75h = 36.75
h = 49 So they sold 49 hot dogs
h + s = 126, so 49 + s = 126, s = 77
You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.
The probability is
Answer:
1/4
Step-by-step explanation:
Q6 (i) please i don’t know what i’m doing wrong
Answer:
x = 4
Step-by-step explanation:
Square both sides
x+5 = 25-10sqrt(x)+x
20 = 10sqrt(x)
sqrt(x) = 2
Square both sides again
x=4
Verify sol
x = 4
A student's bank account is represented in the table shown.
1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.
2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).
3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.
4. Use the model to approximate how long it would take to have $50.00 in the account.
The desmos link is in the reply section below...
1.) y = 1.56x + 1.29
2.) the slope is 1.56
As the weeks are increasing, the student's balance is growing about 1.56 per week.
3.) y = 24.69
4.) 50 = 1.56x + 1.29
50 - 1.29 = 1.56x + 1.29 - 1.29
48.71 =1.56x
48.71 / 1.56
31.2
3480 divided by 29 what is the answer that its asked
Answer:
120
Step-by-step explanation:
To be honest I just looked it up.
Which is the last step when creating and analyzing a scatterplot from a table of values?
Plot the ordered pairs of the independent variable and the dependent variable on the coordinate plane.
Draw or obtain a blank coordinate plane.
Identify if there is a relationship between the independent and dependent variables.
Label the axes of the coordinate plane according to the input and output variables.
Answer:
A quadratic equation. ax2 +bx+c=0 has exactly one real solution if ∆=b2-4ac=0. We check the answers. In (A) ∆=1 ; in (B) ∆ =25: in (C) ∆=0; in (D)∆=1 . (C) is the correct answer.
Answer:
C. Identify if there is a relationship between the independent and dependent variables.
Step-by-step explanation:
F(x) = 3x2+ 6x - 18 find f (10)
Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19
X=?
can soomeone plz help me
On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate one-year percent change?
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Answer:
Step-by-step explanation:
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Solve for HL hypotenuse leg theorem
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The Additional information needed to prove the Triangles congruent by HL criteria is ~ D
[tex] \sf ST \cong SE \: \: or \: \: US \cong FS[/tex]ST = SE or US = FS
===========================================
Explanation:
As you mentioned, HL stands for hypotenuse leg. The sides EF and UT marked with triple tickmarks are congruent, and they are the congruent hypotenuses. That takes care of the "H" part of "HL". So we can cross off choice C because it mentions TU = EF, which is already taken care of.
The "L" part can involve either leg of the triangles. So we could involve the legs ST and SE (they appear to be the shorter legs), or we could involve the longer legs US and FS. We only need to pick one of those options to handle the "L" portion. If we knew all three aspects, then we could easily refer to the SSS (side side side) congruence theorem.
The HL theorem only applies to right triangles.
What is the area of the figure?
Answer:
doc
Step-by-step explanation:
sdsc
I need this answer
ASAP!
Remainder of 52,259 divided by 215
Answer:
14
Step-by-step explanation:
52,259 divided by 215 is 243.065116279
so we know that the nearest whole number is 243.
243x215 is 52,245
subtract 52,245 from 52,259 which gives you the remainder of 14
Convert 20degrees Celsius to degrees Fahrenheit
Answer:
68 degrees fahrenheit.
Step-by-step explanation:
Formula:
(20°C × 9/5) + 32 = 68°F
Answer:
Its around 68F
Step-by-step explanation:
Hope this helped
Need help doing this
Answer:
huh I'm confused I dont know
in baseball the home plate is shaped like the one shown it has three right angles and two other congruent angles A and B find measurement of angle a and measurement of angle B
Answer:
135
Step-by-step explanation:
the triangle is 90-45-45
the square is 90-90-90-90
where the two meet just add 45 + 90
135
The point S(0,–2) is translated 4 units left. What are the coordinates of the resulting point, S'?
S(0,-2)
Translated 4 units left means y coordinate is kept constant.x coordinate is decreased by 4i.e
[tex]\\ \sf{:}\Rrightarrow 0-4=-4[/tex]
New co-ordinates are
(-4,-2)In the past month Melissa went to buy video games and 7 DVD the rental price for each video game was $3.10 the rental price for each DVD was $3.70 what is the total amount that Melissa bent on the video game and the DVD rentals in the past month