Answers
Answer:
√x-9=4
square on both sides
x-9=4*4
x-9=16
x=16+9
x=25
.
.hope it helps
plz mark as brainliest
[tex]( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
Let us first solve for L. H. S.
Substituting the value [tex]x\:={ \frac{9}{4} } [/tex], we have
➼[tex]\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } [/tex]
➼[tex] \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } [/tex]
➼[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } [/tex]
Now let us find R. H. S.
➺[tex]\: {x}^{x \sqrt{x} } [/tex]
➺[tex]\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } [/tex]
➺[tex] \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } [/tex]
➺[tex] \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } [/tex]
➺[tex] \: { \frac{3}{2} }^{ \frac{54}{8} } [/tex]
➺[tex] \: ( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]
Since L. H. S = R. H. S
➝[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]
[tex]\boxed{Hence\:proved.}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Related Questions
A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.
Answers
Complete Question
A countertop for a kitchen is modeled with the dimensions shown below. An
18-inch by 21-inch rectangle will be removed for the installation of the sink.
8 ft
2 ft
Sink
18 in
21 in
5 ft
2 ft
What is the area of the top of the installed countertop, to the nearest square foot?
Answer:
19 square foot
Step-by-step explanation:
A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.
Convert from inches to feet
18 inches
1 inch = 0.0833 feet
18 inch = x
Cross Mulitiply
x = 18 × 0.0833 feet
x = 1.5 feet
21 inches
1 inch = 0.0833 feet
21 inch = x
Cross Mulitiply
x = 21 × 0.0833 feet
x = 1.75 feet
Area 1 = 2 ft × 8 ft = 16 ft²
Area 2 = 2 ft × 3 ft = 6 ft²
Area of a sink = Length × Width
= 1.5 ft × 1.75 ft
= 2.625 square feet
Area 1 - Area of sink
= 16 ft² - 2.625 ft²
= 13.375 ft²
Area of the top installed part =
Area 2 + 13.375 ft²
= 6 ft² + 13.375 ft²
= 19.375 ft²
Approximately ≈ 19 ft²
I need Help please!!!!
Answers
due tomorrow
3 questions
Answers
Answer:
7.
green blocks represent n
and normale digits (plus green) are orange
Anne: 1 orange block and increasing 2 green blocks from 2 sides
Sanjay: one line of green and orange line plus 1
Robert: 2 times the amount of green blocks on both lines with 1 orange block on right path
9.
a.y = 6x
b.y = 2^x
c.y = x+10
10.
a. 2 green blocks and 2 orange blocks
c. 3 green blocks and 1 orangle blocks
b. 4 green blocks
d.2 green blocks and 1 orange block
Step-by-step explanation:
for 10, it doesn't really matter
Draw a graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle formed by these lines along with the X-axis
Answers
Step-by-step explanation:
x-14y=0
x=0/14y
x=14y
14y
The second equation crosses the x axis at x + 4 x 0 - 10 = 0 => x = +10
Adding the equations together gives 2x = 0 => x = 0
0 + 4y - 10 = 0 => 4y = 10 => y = 2.5
The vertices of the triangle formed by the two lines and the x axis are (-10, 0) (10, 0) and (0, 2.5)
Morgan borrowed $0.35 from her mother every time she went to the gas station to buy some chips. Over the summer Morgan went to the grocery store with her mother 9 times. Write an expression using rational numbers to show how much money Morgan borrowed from her mother. Then determine how much Morgan owes her mother.
Answers
Answer:
The money borrowed by Morgan is $ 3.15.
Step-by-step explanation:
Money borrowed by Morgan to buy chips = $ 0.35
Number of times goes to the station = 9
Money borrowed by Morgan in 9 time visit to station
= 9 x $ 0.35
=$ 3.15
(а+2)(3а-1)
what’s the product? (i completely didnt pay attention throughout the year)
Answers
Answer:
3a^2 + 5a - 2
Step-by-step explanation:
(a + 2)(3a - 1)
a(3a - 1) + 2(3a - 1)
3a^2 - a + 6a - 2
subtract like terms
3a^2 + 5a - 2
I suck at math but what's greater 0.67 or 0.6
Answers
Answer:
0.67!
Step-by-step explanation:
0.6 is just 0.60 which is less than 0.67
pls help and explain on tha pic
Answers
Answer:
5. 4
Step-by-step explanation:
[tex] \sqrt{ \frac{1}{25}} \times { \sqrt[4]{81} }^{3} \\ = \frac{1}{5} \times 27 \\ = 5.4[/tex]
brainliest please
Plzzz help me with thiss
Answers
Answer:
that is an unusual question...
there is no table present... I will assume a 10x10 addition table
6. up one row subtracts 10 right one column adds one... so
the result is "subtract 9"
7. same logic as "6" result "subtract 53"
8.
Step-by-step explanation:
Step-by-step explanation:
A typically addition equation is
[tex]x +y = z[/tex]
where x and y is the addends and z is the sum.
Addends both play a role in what the sum will be and they are interchangble.
A addition table have rows and columns. If we move right or down, our sum will increase. If we move left or up, our sum will decrease.
Now let answer the question.
6. If we move the up one row( which is horinzontial), our sum will decrease by 1 then if we right one column our sum will increase by 1. So this means each value will stay the same.
7. If we move up 5 rows, our sum will decrease by 5. If we move to left 3 columns, our sum will increase by 3. So all of our values will decrease by 2.
8. Write a 10 by 10 addition table.Highlight a number in any row. To add 5 to the number, either move right 5 columns or down 5 rowsTo subtract 9, either move left 9 columns or up 9 columns.The number should be 4 less than you choose.
Work out the circumference of each circle.
Use =
[tex]\pi[/tex]
3.14. Round your answers correct to 1 d.p.
Q1. radius = 6cm
also please tell explanation u will make you mark as brainlest leader
Answers
Answer:
37.7 cm
Step-by-step explanation:
circumference of a circle = 2πr
=2*3.14*6
=37.68
=37.7 cm
Answer:
Circumference of circle is 37.68 cm ².
Step-by-step explanation:
Given :-
Radius of circle is 6 cmValue of π is 3.14To Find :-
Circumference of circleFormula Used :-
Circumference of circle = 2 π rWhere,
r, is the radius of circle.Solution :-
Using Formula
Circumference of circle = 2 π r
substitute the values
Circumference of circle = 2 × 3.14 × 6 cm
multiply the values
Circumference of circle = 37.68 cm
Hence, circumference of circle is 37.68 cm ².
Find two consecutive positive integers such that the square of the
smaller integer is nineteen more than five times the larger integer.
Answers
Answer:
8 and 9
Step-by-step explanation:
let 'n' = smaller positive integer
let 'n+1' = larger
n² = 5(n+1)+19
n² = 5n + 5 + 19
n² = 5n + 24
n² - 5n - 24 = 0
(n-8)(n+3) = 0
n = 8 [this is the smaller positive integer]
n+1 = 9 [this is the larger positive integer]
n = -3 [this value can be discounted because it is not positive]
Jonah walks 1/3
mile in 3/4
hour. How fast, in miles per hour, does he walk?
Answers
Answer:
4/9 mi/hr = 0.44 mi/hr
Step-by-step explanation:
1/3 / 3/4 = 4/9 mi/hr
Hence, he walks at miles per hour is
What is a mile?
A unit of length is equal to exact [tex]1.609344[/tex] kilometers. Also equal to [tex]1,760[/tex]yards or [tex]5,280[/tex] feet.
Here given that,
Jonah walks [tex]\frac{1}{3}[/tex] miles in [tex]\frac{3}{4}[/tex] an hour.
So, it would be,
[tex]\frac{\frac{1}{3}}{\frac{3}{4}}=\frac{1}{3}[/tex] ×[tex]\frac{4}{3}[/tex]
[tex]=\frac{4}{9}[/tex]
Hence, he walks at miles per hour is
[tex]\frac{4}{9}mi/hr=0.44mi/hr[/tex]
To know more about miles
https://brainly.com/question/833967
#SPJ2
Write the equation of the graph
Answers
Answer:
y= 3x-2
Step-by-step explanation:
i think
Y=_x-2 it must be -2 because that is the Y-intercept
What is the LCM of 5xy and 10y² ?
Answers
Answer: 10xy²
We can type 10xy^2 to mean the same thing.
==========================================
Explanation:
The LCM of the coefficients 5 and 10 is 10. Note how 5 is a factor of 10.
For the variable portions, you select the terms that are unique and have the highest exponent. We have an x term with exponent 1 and y term with exponent as high as 2. So that's why we go with xy² as the variable portion.
Overall, we end up with an LCM of 10xy²
STEP
1
:
Equation at the end of step 1
((5 • (x2)) - 5xy) - (2•5y2)
STEP
2
:
Equation at the end of step
2
:
(5x2 - 5xy) - (2•5y2)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
5x2 - 5xy - 10y2 = 5 • (x2 - xy - 2y2)
Trying to factor a multi variable polynomial :
4.2 Factoring x2 - xy - 2y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (x + y)•(x - 2y)
Final result :
5 • (x + y) • (x - 2y)
A shop sells biscuits. 3 vanilla biscuits and 2 chocolate biscuits cost $60 while 1 vanilla biscuits and 2 chocolate biscuits cost $48. a)
Write a pair of simultaneous equations to represent the information given above.
Answers
Answer:
3v + 2c = $60
v + 2c = $48
Step-by-step explanation:
Let vanilla biscuits be represented by v and chocolate biscuits be represented by c.
Hope this helps! Let me know if you need help solving the simultaneous equations.
Cuantos nanómetros soporta el cuerpo
Answers
Step-by-step explanation:
1 mn diameter self assembled
nature inspired structure
Evaluate expressions-What should go in the blank spot
When x=5 the value to the expression is...
0.08x3
Answers
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]0.08 {x}^{3} [/tex]
[tex]0.08( {5)}^{2} [/tex]
[tex]0.08 \times 125[/tex]
[tex]10[/tex]
Hope it is helpful...Please help me it urgent i need help i beg you guys!
Answers
Solve for y in the first equation.
Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?
Answers
Answer: The sequence generated is 10, 8, 6, 4, 2, ...
This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2
Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.
Answer:
Step-by-step explanation:
f(1)=10
n=1
f(1+1)=f(1)-2
f(2)=10-2=8
n=2
f(2+1)=f(2)-2
f(3)=8-2=6
n=3
f(3+1)=f(3)-2
f(4)=6-2=4
so sequence is 10,8,6,4,...
Please solve with explanation
Answers
Answer:
36 9/16 in
Step-by-step explanation:
Amount of wood left = original length of the wood - length cut - length wasted
45[tex]\frac{1}{2} - \frac{1}{16} - 8\frac{7}{8}[/tex]
[tex]37\frac{8 - 1 - 14}{16}[/tex]
[tex]37\frac{-7}{16}[/tex]
36[tex]\frac{9}{16}[/tex]
Circle A has a radius of 4 centimeters.
Answers
The area for the circle below is
in.2.
Use 3.14 for π and type your answer to the nearest tenth.
D = 5in
I NEED HELP OR I WILL FAIL
Answers
Answer:
19.63 inches
Step-by-step explanation:
The area of a circle is found by using the formula
A = πr²
r is the radius of the circle, which is the diameter divided by two.
D = 5 in so r = D ÷2
5 ÷ 2 = 2.5 inches for the radius.
A = π (2.5)²
A = π (6.25)
A = (3.14)(6.25)
A = 19.625 inches
The amount of money, A, accrued at the end of n years when a certain amount, P.is
invested at a compound annual rate, r, is given by A = P(1+r)". If a person
invests $300 in an account that pays 8.5% interest compounded annually, find the
balance after 15 years.
Answers
Answer:
$1019.92
Step-by-step explanation:
A = 300(1.085)^15
A diver was at 58m below sea level.The diver swam up 4m every 12 seconds. Where is the location of the diver after 2 minutes?
Answers
Answer:
18 metres below sea level.
Step-by-step explanation:
Since the diver swims up 4 metres every 12 seconds, that means the diver swims up 4 * (60/12) metres = 20 metres every minute. Therefore, he will have swum up 20 * 2 = 40 metres after 2 minutes. Factoring in the diver's original position, -58m, we can calculate his position to be -58 + 40 metres = -18 metres, meaning 18 metres below sea level.
Hope this helped!
Answer:
18 m below sea level
Step-by-step explanation:
Which equation is the slope-intercept form of the line that passes through (-3,5) and is parallel to the of y=−2\3x+5
Answers
Answer:
y = -2/3x + 3
Step-by-step explanation:
y = -2/3x + b
5 = -2/3(-3) + b
5 = 2 + b
3 = b
15 cm
7.5cm
10 cm
5 cm
Answers
Answer:
7.5 = OM
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite side / hypotenuse
sin 30 = OM / UN
sin 30 = OM / 15
15 sin 30 = OM
7.5 = OM
Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0, 4), and point F is at (1, 3). What are the coordinates of point G? (−1, 5) (2, 2) (3, 1) (4, 0)
Answers
Answer:
(4,0)
Step-by-step explanation:
Line segment EG is partitioned by point F in the ratio 1:3.
This means that:
[tex]F - E = \frac{1}{4}(G - E)[/tex]
We use this equation to find both the x-coordinate and the y-coordinate of point G.
x-coordinate:
x-coordinate of E: 0
x-coordinate of F: 1
x-coordinate of G: x
Then
[tex]F - E = \frac{1}{4}(G - E)[/tex]
[tex]1 - 0 = \frac{1}{4}(x - 0)[/tex]
[tex]1 = \frac{x}{4}[/tex]
[tex]x = 4[/tex]
y-coordinate:
y-coordinate of E: 4
y-coordinate of F: 3
y-coordinate of G: y
Then
[tex]F - E = \frac{1}{4}(G - E)[/tex]
[tex]3 - 4 = \frac{1}{4}(y - 4)[/tex]
[tex]-1 = \frac{y-4}{4}[/tex]
[tex]y - 4 = -4[/tex]
[tex]y = 0[/tex]
What are the coordinates of point G?
x = 4, y = 0, so (4,0).
Does anyone know this? Options: 5,6,or 10
Answers
Answer:
x = 6
Step-by-step explanation:
a • b = c • d where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord
2*x = 3*4
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Which of the following is most likely the next step in the series?
Answers
Answer:
D.
Step-by-step explanation:
The pattern is line across, then down, then across, then down, then across.
Answer:
D
Step-by-step explanation:
The steps are horizontal line, then vertical line. After the third image, the next line should be the horizontal line.
what is the answer to 1/2x - 3/4 = 3/8 - 5/8x
Answers
Answer:
The answer to your question is 1,-0.25
Step-by-step explanation:
Use desmos! Put the first part of the question (1/2x-3/4) into one slot, and then put the second part of the question (3/8-5/8x) into a different one. you'll find two lines intersecting, click on where the lines intersect and then you'll find the answer.