what is equivalent to​

What Is Equivalent To

Answers

Answer 1

Answer : The expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].

Step-by-step explanation :

The given expression is:

[tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex]

As we know that:

[tex]\sqrt[4]{x} =x^{\frac{1}{4}}[/tex]

So, by solving the above expression, we get:

[tex]\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}[/tex]

By multiplying the power of 9, we get the following expression.

[tex]\Rightarrow 9^{(\frac{1}{8}x)}[/tex]

Hence, the expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].


Related Questions

all of the following are acceptable ways to name the angle shown except?

Answers

Step-by-step explanation:

where is figure man

.....

Answer:

The answer is:  ∠ R

Why Do i SUCK AT MATH!!!!!!!!!!!!!!!!! :(

Answers

Answer:

Math is not a very easy subject and not everyone can master it.All that is needed are focus,dedication and confidence.You should try practicing in your weak areas or seek help to get a better understanding.

Step-by-step explanation:

I really hope this helps :)

yeh what that guy said

A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach. A batch of raspberry donuts cooks in 11 minutes while a batch of peach donuts cooks in only 8 minutes. Let x represent the number of raspberry-filled donuts and let y represent the number of peach-filled donuts. Write an inequality to represent how many batches of the new type of donuts can be produced in a 10 hour day. a. c. b. d.

Answers

Step-by-step explanation:

X= raspberry

X = 600 ÷ 11 = 54 batches

[ 60 minutes = 1 hour]

[600 minutes = 10 hours]

Y = peach

Y = 600 ÷ 8 = 75 batches

Answer:

its b

Step-by-step explanation:

it just is

What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work. y = 2x + 17 y = 1/2x + 8 y = -2x - 7 y = -1/2x + 2

Answers

Answer:

y = -1/2x + 2

Step-by-step explanation:

If two lines are perpendicular then the product of their slopes are -1

m1*m2 = -1

where m1 amd m2 is slope of two lines.

_______________________________________

Given line

y = 2x-3\

it is in form of y = mx+c (slope intercept form)

where m is slope and c is y intercept

Thus, slope of line  y = 2x-3 is 2

Now we know that product of two lines are -1

let m be slope of other line

then m*2 = -1

m = -1/2

thus, slope of required line is -1/2

let the line be y = mx+c but m = -1/2

thus

y = -1/2 x + c

given that point(-6,5) lies on it

we use -6 in plca of x and 5 in place of y

5 = -1/2 *-6 + c

=>5 = 3 +c

=> c = 5-3 = 2

Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2

Please help ! I don’t understand:((

Answers

Answer:

B

Step-by-step explanation:

sorry if im wrong but i used desmos next time its graphing use desmos

Combine the following expressions.

Answers

Answer:

second option

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{27x^{3} }[/tex]

= [tex]\sqrt{9(3)x^2.x}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]

= 3 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]

= 3x[tex]\sqrt{3x}[/tex]

-------------------------------

[tex]\sqrt{12x^{3} }[/tex]

= [tex]\sqrt{4(3)x^2.x}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]

= 2 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]

= 2x[tex]\sqrt{3x}[/tex]

---------------------------------------

Thus

3 × 3x[tex]\sqrt{3x}[/tex] - 2 × 2x[tex]\sqrt{3x}[/tex]

= 9x[tex]\sqrt{3x}[/tex] - 4x[tex]\sqrt{3x}[/tex]

= 5x[tex]\sqrt{3x}[/tex]

Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the diameter, d? 40 ft 80 ft 125 ft 250 ft

Answers

Answer:

250 ft

Step-by-step explanation:

circumference of circle 'C' is defined as

C = 2πr

250π = 2πr

r = 250π/2π

r= 125

d = 2r = 2×125 = 250 .

diameter of the given circle is 250 ft

The diameter of the circle is 250ft

Data;

Circumference = 250πdiameter = d

Circumference of a Circle

The formula of circumference of a circle is given as

[tex]c = 2\pi r[/tex]

Let's substitute the values in here and solve

[tex]c = 2 \pi r\\250\pi = 2 \pi r\\r = 125ft[/tex]

The length of the radius is 125ft

But the length of diameter of a circle is twice the length of the radius

[tex]d = 2r\\d = 2 * 125\\d = 250ft[/tex]

The diameter of the circle is 250ft

Learn more on circumference of a circle here;

https://brainly.com/question/14283575

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

Answers

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?

Answers

Answer:

l=[tex]24\*x^{6}[/tex]

w=[tex]y^{15}[/tex]

Step-by-step explanation:

We know that the area of rectangle can be determined by the multiply the length to the width i.e

A = l • w..................Eq(1)

Here A represented the area .

l=  Length of rectangle

w= Width of rectangle

Here A= [tex]24x^{6} y^{15}[/tex]...

It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)

Comparing the Eq(2) to the Eq(1)

[tex]l=24x^{6}\\ w=y^{15}[/tex]

Answer:

the right answer A. 2x^5y^8 and 12xy^7

Step-by-step explanation:

Please help me I've been stuck on this for a bit

Answers

Answer:

A=1.5 units²

Step-by-step explanation:

a²+b²=c²

2.5²+1.5²=c²

a²+2.25=6.25

a²=4.00

a=2

A=1/2 x b x h

A=1/2 x 1.5 x 2

A=1.5 units²

Answer:

1.5

Step-by-step explanation:

Use the pythagorean theorem.  a^2+b^2=c^2.  a and b are the legs, or the shorter sides of the triangle.  If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case.  So c is 2.5 and a is 1.5.  Now you plug the values into the equation

1.5^2+b^2=2.5^2

2.25+b^2= 6.25 .Simplify the equation

b^2= 4 .Subtract 2.25 from both sides.

b= 2.  Square root both sides.  

Based on the picture, a is the base and b is the height.  The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again

1/2(1.5*2)= 1/2(3)= 1.5  

What is the inverse of the given function?

Answers

Answer: -7, -1, 5, -5

Step-by-step explanation:

In order to find the inverse, swap the x's and y's and solve for y.

[tex]y=\dfrac{5x+1}{-x+7}\\\\\\\underline{Swap\ the\ x's\ and\ y's}:\\x=\dfrac{5y+1}{-y+7}\\\\\\\underline{\text{Multiply both sides by -y+1 to clear the denominator}}:\\x(-y+7)=5y+1\\-xy+7x=5y+1\\\\\\\underline{\text{Add xy and subtract 1 from both sides}}:\\7x-1=xy+5y\\\\\\\underline{\text{Factor out the y from the right side}}:\\7x-1=y(x+5)\\\\\\\underline{\text{Divide x+5 from both sides}}:\\\dfrac{7x-1}{x+5}=y[/tex]

Since the boxes you need to fill in show -x in the denominator, multiply the equation by -1/-1:

[tex]y=\dfrac{-1}{-1}\bigg(\dfrac{7x+1}{x+5}\bigg)\\\\\\\large\boxed{f^{-1}(x)=\dfrac{-7x-1}{-x-5}\qquad for\ x \neq -5}[/tex]

A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and the probability that it is Green is 0.4 Find the probability that ball selected is: one is yellow other is not red plz answer urgent

Answers

Answer:

0.25

0.65

Step-by-step explanation:

Looking at the question, we can see that we were not given the probability of selecting a yellow ball.

Hence the probability of this is;

1-0.35-0.4 = 1-0.75 = 0.25

The probability that the selected ball is yellow is 0.25

The probability that it is not red means it is either yellow or green

What this means is that we add the probability of yellow to the probability of green

= 0.25 + 0.4 = 0.65

PLZZZZZZZZZ HLPPPPPPPP MEEEEEEEEEEE
which of the following is made up of one base and a vertex not in the same plane as the base? check all that apply
a. cone
b. prism
c. cylinder
d. pyramid

Answers

Answer:

a. cone. Since it's the only shape with one base and a vertex not on the same plane

cone cone cone cone cone cone

Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).

Answers

Answer:

One invariant point;

Point A = (2, 0)

Step-by-step explanation:

The coordinates of the square vertices are;

O = (0, 0)

A = (2, 0)

B = (2, 2)

C = (0, 2)

Therefore, we have by 90° clockwise rotation;

O' = (2, 2)

A' = (2, 0)

B' = (4, 0)

C' = (2, 4)

Therefore, since only A' (2, 0) = A (2, 0), we have only one invariant point on the perimeter of the square when it is rotated 90° about the center (2, 0) which is the point A = (2, 0).

Rewrite the set D by listing its elements. Make sure to use the appropriate set notation.
D= {y | y is an integer and -2

Answers

Step-by-step explanation:

D=Y/Y IS AN INTEGER AND -2

Answer:

{-2}

Step-by-step explanation:

The element in the set will be:

D = {-2}

The given form of the set is a set-builder notation form.

=> Here, It's written that y is an integer and is exactly -2 and nothing else at all.

So, the set becomes:

=> D = {-2}

Hello Everyone Please find attached

Answers

Answer:

2 or 6

Step-by-step explanation:

i would prefer talk about either some math, or some new science updates, if you ever need to learn anything about cool science i always go to Mark Rob -er on you tube

Un grup de ciclistes han de fer una excursió a una casa rural que es troba a 72 quilòmetres del seu poble. El primer dia recorren 2/3 del camí. El segon dia recorren 1/4 del camí i el tercer dia arriben a la casa rural. Calcula els quilòmetres que recorren cada dia.

Answers

Answer:

29.76 milles

11.16 milles

44.64 milles

Step-by-step explanation:

Van haver de fer una excursió a una casa rural que està a 72 quilòmetres del seu poble.

El primer dia viatgen 2/3 de camí. Aquest dia, van viatjar:

2/3 * 72 = 48 quilòmetres

En el segon dia viatgen 1/4 de camí. Aquest dia, van viatjar:

1/4 * 72 = 18 quilòmetres

A el tercer dia arriben a la casa de camp. Aquest dia, van viatjar 72 quilòmetres.

Hem de convertir cada un d'ells en milles.

1 km = 0.62 milles

El primer dia:

48 km = 0.62 * 48 = 29.76 milles

El segon dia:

18 km = 0.62 * 18 = 11.16 milles

El tercer dia:

72 km = 0.62 * 72 = 44.64 milles

The interior angle of the regular pentagon below measures 108, and the pentagon has rotational symmetry. Which of the following is the measure of an interior angle after a 90 rotation around the point of symmetry?

Answers

Answer:

108

Step-by-step explanation:

The measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]

What is pentagon?

In the pentagon, the sum of the interior angles is equal to 540°. If all the sides are equal and all the angles are of equal measure, then it is a regular pentagon. Otherwise, it is irregular. In the regular pentagon, each interior angle measures 108°, and each exterior angle measures 72°.

according to the question

After rotation the size of the interior angle stays the same.

10[tex]8^{o}[/tex] = 10[tex]8^{o}[/tex]

Hence, the measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]

To learn more about regular pentagon from here

https://brainly.in/question/35228968

#SPJ2

I need to write the equation of the line in slope intercept form

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

Step 1: Find slope

m = (3-1)/(-1+2) = 2

Step 2: Find y-intercept

(0, 5)

Step 3: Write in slope-intercept form

y = mx + b

y = 2x + 5

And we have your answer!

Answer:

y = 2x + 5

Step-by-step explanation:

We can see the point (-1, 3) and the y-intercept (0, 5). Slope intercept form is y = mx+b, where m is the slope and b is the y-intercept. With this, we know that b = 5. We can plug in the point (-1, 3) with -1 as x and 3 as y to find m. Doing so gives us 3 = -1m+5. This simplifies to -1m = -2, and m = 2. We can now plug in m to get the equation y = 2x + 5.

Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, cone–shaped figure with a radius of 2 cm, what will the height of the cone be?

Answers

Answer:

Step-by-step explanation:

We'll call height h.

The equations of a cone and sphere are:

Cones: 1/3 * base area * h

Spheres: 4/3 π * r³

The base area of a cone would be the area of a circle equation:

π * r² = π * 2² = 4π.

Because you're converting from sphere to cone, you would set their equations equal to each other.

1/3 * 4π * h = 4/3 π * 5³

Next, isolate h.

h = (4/3 π * 5³)/(1/3 * 4π)

h = 125

Hope this helps!

Answer:125

Step-by-step explanation:

Given the following number line, what number could be A if XY - ZA?
X
Y Z
-6
A. -5
B. -1
C. 5
D. 6

Answers

Answer:

C. 5

Step-by-step explanation:

XY= -1-(-5)= 4

ZA= A-1= 4 ⇒ A=1+4= 5

A=5

the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees

Answers

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1)  (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.

The profit ,P dollars, earned by students at a high school selling boxes of chocolates is approximated to be P= -60x^2+600x , where x dollars is the selling price of one box of chocolates. What selling price gives the maximum profit?

Answers

Answer:

Selling price of 5 gives the maximum profit

Step-by-step explanation:

What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.

Mathematically, we have;

dp/dx = -120x + 600

We now equate this to zero

0 = -120x + 600

120x = 600

x = 600/120

x = 5

what is the distance between 3,0 and 6,-13

Answers

Answer:

√178

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your coordinates into the distance formula to find the distance between them.

Fine the value of X

Answers

Answer:

30

Step-by-step explanation:

60/40=3/2

105/40+x = 3/2

105/70=3/2

x=70-40 = 30

Answer:

x = 30

Step-by-step explanation:

60/40 = 45/x

Cross multiply.

60x = 40 × 45

60x = 1800

Divide both sides by 60.

x = 1800/60

x = 30

The vertex form of a quadratic function is f(x) = a(x - 1)2 + k. What is the vertex of each function? Match the function
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(6,9)
f(x) = 6(x + 9)2 - 5
(5,6)
f(x) = 9(x - 5)2 + 6
(-9.-5)
f(x) = 6(x - 5)2 - 9
U (-5,-6)
(5.-9)
f(x) = 5(x - 6) +9
Done
Intro

Answers

Answer:

f(x) = 9(x + 5)2 - 6 (-5,-6)

f(x) = 6(x + 9)2 - 5 (-9,-5)

f(x) = 9(x - 5)2 + 6 (5,6)

f(x) = 6(x - 5)2 - 9. (5,-9)

f(x) = 5(x - 6) +9. (6,9)

Step-by-step explanation:

To find the vertex: for the x-coordinate, take the "h" in the parentheses (x + h) and reverse its sign. For the y-coordinate, use the "k" term as-is.

The coordinates of the vertex of the equations are:

f(x) = 9(x + 5)^2 - 6; Vertex = (-5,-6)f(x) = 6(x + 9)^2 - 5; Vertex = (-9,-5)f(x) = 9(x - 5)2 + 6; Vertex =(5,6)f(x) = 6(x - 5)^2 - 9; Vertex = (5,-9)f(x) = 5(x - 6) +9; Vertex = (6,9)

How to determine the vertex of the quadratic functions?

The vertex form of the quadratic function is given as:

y = a(x -h)^2 + k

Where:

Vertex = (h,k)

Using the above highlight, the coordinates of the vertex of the equations would be:

f(x) = 9(x + 5)^2 - 6

Vertex = (-5,-6)

f(x) = 6(x + 9)^2 - 5

Vertex = (-9,-5)

f(x) = 9(x - 5)2 + 6

Vertex =(5,6)

f(x) = 6(x - 5)^2 - 9

Vertex = (5,-9)

f(x) = 5(x - 6) +9

Vertex = (6,9)

Read more about vertex quadratic functions at:

https://brainly.com/question/1480401

what type of number is the square root of 5

Answers

Answer:

Irrational

Step-by-step explanation:

root of 5 = 2.23606797749978969640917366873127623544061835961152572427089…

This number never ends. Another term for it would be a recurring decimal, but it is not exact. Anyway, the square root of 5 is irrational since it is not defined to stop. Even if it was rounded, it would not be exact.

Hope this Helps.

ABCD ~ QRST
Find the missing side length, n.
B.
C
8
R
n
S
А
D
T
12.
9
n = [?]​

Answers

Answer:

  n = 6

Step-by-step explanation:

The left side is 8/12 = 2/3 the length of the bottom, so ...

  n = (2/3)(9)

  n = 6

NEED ANSWER ASAP In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8

Answers

Answer:

Angle 1

Step-by-step explanation:

Angle 3 and angle 1 are vertical angles. That means that whatever the measure of angle 3 is, angle 1 is also the same.

IM SO STUCK ON THIS QUESTION!!!! PLEASE HELP

Answers

Answer:

3rd Option

Step-by-step explanation:

In this case, the child graph is being moved horizontally by left 1 unit. The reason it isn't vertical is because it is not outside the absolute value.

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