Answer:
√20
Or
2√5
Step-by-step explanation:
It is very easy just substitute
It will be:
If x=9/4, then prove that(x root x)^x= x^x root x
Will give Brainliest...
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]
What is the solution to the system of equations?
Answer:
ans: D
Step-by-step explanation:
suppose
y = 3x +1 be equation••••••1
and
y = -2x - 4
-y= 2x + 4 be equation ••••••2
add equation 1 and 2 as
y = 3x + 1
-y = 2x + 4
0 = 5x + 5
so ,
5x = - 5
x = - 1
put x In either equation 1 or 2 to get y= - 2
OR,
since given equation intersects each other ,
use substitution method ,
Answer:
D
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 2 ) ← solution → D
Complete the table of values:
Formula given: [tex]y=x^{2} -x-6[/tex]
x -3 -2 -1 0 1 2 3
y 6 0 -4 -6 -4 -4 0
when x = -2
[tex]=(-2)^{2} -(-2)-6[/tex]
[tex]=0[/tex]
when x = -1
[tex]=(-1)^{2} -(-1)-6[/tex]
[tex]=-4[/tex]
when x = 1
[tex]=(1)^{2} -(1)-6[/tex]
[tex]=-6[/tex]
when x = 2
[tex]=(2)^{2} -(2)-6[/tex]
[tex]=-4[/tex]
when x = 3
[tex]=(3)^{2} -(3)-6[/tex]
[tex]=0[/tex]
Answer:
-3 -2 -1 0 1 2 3
6 0 -4 -6 -6 -4 0
Step-by-step explanation:
One is given the following function;
[tex]y=x^2-x-6[/tex]
The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.
[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]
[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]
[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]
[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]
[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]
I am going to bye a three bags of plums and the cost of the plums are $4000 but I only have $300 how many more money do I need
well...
if all three bags cost $4,000 then you'll need $3,700.
but if one bag costs $4,000 then that'll equal to $12,000 which then you'll need $11,700.
i might've misundestood your question so please let me know if this is correct!
A un carpintero le encargaron cambiar la forma de una mesa, de circular a cuadrada. El radio de la mesa mide 2 m y los lados del cuadrado que le encargaron deben medir 2.83 m, como se muestra en la figura. (considerar π=3.14). ¿Cuántos metros cuadrados de área tiene que eliminar para que quede la mesa cuadrada?
Answer:
4.46 m^2
Step-by-step explanation:
Sabemos que para un círculo de radio R, el área es:
A = pi*R^2
mientras que para un cuadrado de lado L, el área es:
A = L^2
Ahora queremos calcular los metros cuadrados de área que tiene que sacar el carpintero, esto será simplemente igual a la diferencia entre el área original de la mesa (cuando es circular) y el área final de la mesa (cuando es cuadrada).
Originalmente, la mesa es circular y tiene un radio de 2m.
Entonces el área original es:
A = 3.14*(2m)^2 = 12.56 m^2
Al final, la mesa será un cuadrado de tal forma que sus lados deben medir 2.83m, entonces el área final de la mesa será:
A' = (2.83m)^2 = 8.01m^2
La diferencia nos da:
A - A' = 12.56 m^2 - 8.01m^2 = 4.46m^2
Esto nos dice que se deben eliminar 4.46 m^2 para que la mesa quede cuadrada.
m^(2)-n^(2)+6n-9
Please factor this out completely and help me
Answer:
m^2-n^2+6n-9
m^2-6n^2-9
B
47°
F
G
A
C
20
J
H Н
Answer:
FGAC 20 JH Н
Step-by-step explanation:
FGAC 20 JH Н
What is the answer to 12 radius circle
Answer:
The answer is 113.10 ft²
Step-by-step explanation:
The square feet which is the area of a 12 ft circle is 113.10. If there is a option for that
Answer:
113.04 ft^2
Step-by-step explanation:
use formule A = πr^2
Can someone help me out with this at all?
Answer:
1 maps to 1
2 maps to 3
3 maps to 2
Step-by-step explanation:
the correctly assigned answer options describe everything.
there is not much else to say and explain.
these are all true statements due to the symmetry principle of a circle.
when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.
and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.
What is the answer to -4 + 10.
Negative 4 plus 10
Answer:
Six
Step-by-step explanation:
10 - 4 = 6
-4 + 10 = 6
Answer:
6
Step-by-step explanation:
[tex] - 4 + 10 = 6[/tex]
6
Help me to do this set question
what is the smallest number that can be subtracted from 376234 to make it divisible by 11
Answer:
Odd:: 8+7+9=24
Even:: 2+8=10
So difference of odd and even is 24-10=14
Reducing 3 from this will make the difference (14–3) divisible by 11.
So the number to be subtracted is 3
And the number is 82786.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.
Which is the most expensive? 6 for $46.50 or 9 for $67.50?
Answer:
6 for 46.50$
Step-by-step explanation:
you can divide 67.50 over 46.50 (it is less than 3/2)
so 46.50 for 6 is the most expensive
of course if you buy more, it is going to be cheaper than buying less
Solve 2 ≤ 2x + 4 < 10 for x.
–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3
Answer:
-1 ≤ x < 3
Step-by-step explanation:
2 ≤ 2x + 4 < 10
Subtract 4 from all sides
2-4 ≤ 2x + 4-4 < 10-4
-2 ≤ 2x < 6
Divide all sides by 2
-2/2 ≤ 2x/2 < 6/2
-1 ≤ x < 3
1.
Find the least common multiple.
20 and 12
Answer:
answer 60
Step-by-step explanation:
The LCM(12, 20) = 60.
If the average, mode, and range of 5 different numbers are all 8, find the sum of all possible values of the second largest number.
I believe you meant:
If the average, mode, and range of 5 different numbers are all 8, find the sum of all possible values and the second largest number
Answer:
Sum of all possible values = 40
Second largest number= 8
Explanation:
Since our mean, mode, and range is 8, our sum is 40 and our second largest number is 8.
The sum of all the numbers is 40 since our mean is 8 and there are 5 numbers(8×5)
To find possible values, we already know the mode is 8 and so we know 8 must appear more than once. If we have 8 twice then we are left with 24(sum is 40). We have 3 numbers left and the range is 8 so we must have a maximum number and minimum number that has a difference of 8 and a third number, all adding up to 24(sum left). Within 24, only 12-4+8 satisfies the condition, hence our numbers are: 4,8,8,8,12.
2 more after this help
Answer:
y = 1x-5
Step-by-step explanation:
We know two points so we can find the slope
(0,-5) and (5,0)
m = ( y2-y1)/(x2-x1)
= ( 0 - -5)/(5-0)
(0+5)/(5-0)
5/5
=1
We know the y intercept = -5
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 1x-5
‼️‼️‼️‼️HELPP‼️‼️‼️‼️
Answer:
I can't see the small numbers.post it again
Step-by-step explanation:
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 10?
A)222
B)185
C)847
or none of these
Answer:
none of these
Step-by-step explanation:
A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.
What is the center of the circle shown below?
Answer:
L
Step-by-step explanation:
Here, we want to get the circle center
The diameter is a chord that passes through the center of the circle
looking at the given diagram, we can see chords SM and MN
Between this two, we can see that it is SM that passes through the center
Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes
i need help...... ..
Problem 27)
Refer to the diagram that says "problem 27".
This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.
This equation comes from the simple interest formula below
i = P*r*t
i = 100*0.05*x
i = 5x
y = 5x
Note: The graph is a straight line through (0,0) and (1,5)
=====================================================
Problem 28)
The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.
The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.
The graph of points is shown below in the figure labeled "problem 28".
When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.
Marking brainliest need help
I’m purchasing tickets that are $40.00 but I have a discount which is 35% off. How much will I pay with that discount?
Answer:
26 ShillingStep-by-step explanation:
The amount to be paid = The new price
where;
New price = (100-x)/100 * Original price
Original price = 40.00
x = discount
Placing in formula100-35/100 * 40.00
65/100 *40
26 shilling
Therefore the amount you will pay for the discount is 26 shillingquestion 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?
Answer:
ss
Step-by-step explanation:
sas
The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r
Let the center of the circle be A ( 5 , 2 )
Let the point on the circle be P ( -3 , 4 )
Now , standard form of a circle is
( x - h )² + ( y - k )² = r²
So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²
On simplifying the equation , we get
r² = ( 8 )² + ( 2 )²
r² = 64 + 4
r² = 68
Taking square roots on both sides , we get
r = √68
r = 2√17
Hence , the radius of the circle is 2√17 units
To learn more about circle click :
https://brainly.com/question/28391204
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Please give a real answer.
No Docs/No files/No link
I will rate a 5-star and give the brainiest.
Answer:
3.5 m
Step-by-step explanation:
PQ = 5/(5+5) × 7
= 5/10 × 7
= 3.5 m
All squares are rectangles but not all rectangles are squares. Prove wheater this statement is true or false with an explanation
What's the Area of the Rectangle, Triangle and the entire shape?
Answer:
Rectangle = 48 un²
Triangle = 12 un²
Total = 60 un²
Step-by-step explanation:
Area rectangle = 8 x 6 = 48 un²
Area triangle = 1/2 ( 6 x 4) = 1/2 ( 24 ) = 12 un²
Total = 48 un² + 12 un² = 60 un²
To check the total area, find the area of the trapezoid:
1/2 ( 8 + 12) * 6 =
(20 * 6)/2 =
120 / 2 = 60
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
joy wants to create a box with a volume of 8 cubic units. which dimensions would work
Answer:
The dimensions of the box is 2 units.
Step-by-step explanation:
Volume of cube, V = 8 cubic units
Let the length of the side is a.
So,
The volume of the cube is
[tex]V = a^3\\\\8 = a^3\\\\a = 2 units[/tex]
So, the dimensions of the box is 2 units.
CAN SOMEONE HLEP ME OUT WITH THIS PLEASE AND THANK YOU
Answer:
12 5/24 thats the answer
Step-by-step explanation:
use this website for mixed number calculator: https://www.calculatorsoup.com/calculators/math/mixednumbers.php
A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle?
Answer:
[tex]W=2.58 unit[/tex]
[tex]L=15.5 unit[/tex]
Step-by-step explanation:
From the question we are told that:
Area [tex]A=40[/tex]
Equation
Length [tex]L=6LW[/tex]
Generally the equation for Area of a rectangle is mathematically given by
[tex]A=L*W[/tex]
[tex]A=W*(6W)[/tex]
[tex]A=6W^2[/tex]
[tex]W=\sqrt{40/6}[/tex]
[tex]W=2.58 unit[/tex]
Therefore Length is
[tex]L=6W[/tex]
[tex]L=6(2.58)[/tex]
[tex]L=15.5 unit[/tex]
Length = 10
Width = 4
The dimensions of the rectangle would be 10 by 4.
2. Harry is rolling a die, what is the probability of him rolling an even
number in simplest form? *
Answer:
1/2 ( equally likely and equally unlikely)
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
A die consists of six numbers. There are 3 even numbers in a die, 2,4, and 6.
This means that 3 out of 6 numbers in a die are even. 3/6 simplified is 1/2.