how do i solve for this

How Do I Solve For This

Answers

Answer 1

Answer:

x = -4

Step-by-step explanation:

[tex] \frac{ \sqrt[3]{6x} }{ \sqrt[3]{2x + 5} } = 2[/tex]

[tex] {( \frac{ \sqrt[3]{6x} }{ \sqrt[3]{2x + 5} } )}^{3} = {2}^{3} [/tex]

[tex] \frac{6x}{2x + 5} = 8[/tex]

[tex]6x = 8(2x + 5)[/tex]

[tex]6x = 16x + 40[/tex]

[tex] - 10x = 40[/tex]

[tex]x = - 4[/tex]

[tex] \frac{ \sqrt[3]{6( - 4)} }{ \sqrt[3]{2( - 4) + 5} } = 2[/tex]

[tex] \frac{ \sqrt[3]{ - 24} }{ \sqrt[3]{ - 3} } = 2[/tex]

[tex] \sqrt[3]{ \frac{ - 24}{ - 3} } = 2[/tex]

[tex] \sqrt[3]{8} = 2[/tex]


Related Questions


Find the exact solution(s) to the equation 2 sin²x-cosx + 1 = 0

Answers

Answer: x=2πn (n=0, 1, 2, 3,...)

Step-by-step explanation:

2sin²x-cosx+1=0

2(1-cos²x)-cosx+1=0

2(1)-2(cos²x)-cosx+1=0

2-2cos²x-cosx+1=0

-2cos²x-cosx+3=0

Multiply both parts of the equation by -1:

2cos²x+cosx-3=0

Let cosx=t

Domain:

-1≤cosx≤1

Hence, -1≤t≤1

2t²+t-3=0

D=b²-4ac

a=2    b=1    c=-3

D=1²-4(2)(-3)

D=1+24

D=25

√D=√25

√D=5

[tex]\displaystyle\\t=\frac{-bб\sqrt{D} }{2a} \\\\t=\frac{-1б5}{2(2)}\\\\t=\frac{-1б5}{4}\\\\t=-1.5\notin domain\\\\t=1\in domain\\\\cosx=1\\\\x=2\pi n\ where\ n=0, \ 1,\ 2,\ 3,\ ...[/tex]

What is 70% of 45???????

Answers

Answer: 31.5

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

[tex]45 \times .7 = 31.5[/tex]

The function d(x)=-1/3|x-15|-5​ represents the elevation (in meters) of a scuba diver x​ seconds after descending from the surface.

Answers

The x-intercepts 0 and 30 indicate it takes 30 seconds to return to the surface of the water

The vertex (15, -5) indicates the scuba diver descends for 15 seconds to a depth of 5 meters under the surface before ascending

How to interpret the x-intercept

The equation of the function is given as

d(x) = 1/3|x - 15| - 5

Set d(x) to 0, to determine the x-intercept

So, we have

1/3|x - 15| - 5 = 0

This gives

1/3|x - 15| = 5

So, we have

|x - 15| = 15

Remove the absolute brackets

x - 15 = 15 and x - 15 = -15

Evaluate the equations

x = 30 and x = 0

This means that the diver is at the surface at 0 and 30 seconds

How to interpret the vertex

An absolute value function represented as f(x) = a|x - h|  + k has a vertex of (h, k)

This means that

(h, k) = (15, -5)

It means that the diver dived for 15 seconds to get to 5 meters below the water surface

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How does the US tax policy encourage long-term investments?
A.
by making long-term investments tax exempt
B.
by making Treasury bonds tax exempt
C.
by making it illegal to earn short-term gains
D.
by providing a lower tax rate for long-term gains

Answers

Answer: its D

Step-by-step explanation

Long Term Capital Gains Taxes tend to be lower than short term

Answer: D by providing a lower tax rate for long-term gains

A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 40 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t) = -16t²+40t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ___ second(s) after launch.
(Simplify your answer.)

Answers

The maximum height of 32 feet is reached after 1.25 second of flight by the rocket

How to determine the time to reach the maximum height

The function is given as

h(t) = -16t² + 40t + 7

Differentiate the function and set it to 0

-32t + 40 = 0

Add 32t to both sides

32t = 40

Divide both sides by 32

t = 1.25

Hence, the time is 1.25 seconds

How to determine the maximum height

In part (a) of this solution, we have

t = 1.25

Recall that

h(t) = -16t² + 40t + 7

So, we have

h(1.25) = -16(1.25)² + 40(1.25) + 7

This gives

h(1.25) = 32

Hence, the maximum height is 32 feet

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If a bus is charged $122, how many people do you think it contains?

Answers

Answer:

38 people

Step-by-step explanation:

In this case, we can see that, being two people, the cost is 14 and when it is double, that is, 4 people, the value is not 28 but 20.

Which means that there is an additional value that is being charged for the vehicle, that is:

let "c" be the value of the vehicle and "x" be the value per person

c + 2 * x = 14

c + 4 * x = 20 => c = 20 - 4 * x

replacing:

20 - 4 * x + 2 * x = 14

-2 * x = 14-20

-2 * x = -6

x = 6/2

x = 3

for C:

c = 20 - 4 * 3

c = 8

Which means that the formula for the value of the input would then be:

e = 8 + 3 * n

where "n" is the number of people.

Now, we are told that for e = 122

122 = 8 * + 3 * n

3 * n = 122 -8

n = 114/3

n = 38

which means that for that bus there are a total of 38 people


A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 320 milliliters of a dressing that is 8% vinegar. How much of each brand should she use?

Answers

The total mixture to contain 8% vinegar so: .06F plus .11S equal to .08(320).Now, we can solve the system of equations using substitution.F + S is 310

How much of each brand should she use?

.06F + .11S = .08(310)

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(320)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

F + 124 = 310  

F = 186

make a 320mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

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Suppose is Jeanine is building a tray for a floral table centerpiece in the shape of a pentagon.

Answers

The sum of interior angles of a tray that is of pentagon shape is 540°

Given,

There is a tray which is of pentagon shape.

We have to find the sum of interior angles of the tray.

We have to find the sum of interior angles of pentagon.

That is,

Sum of interior angle of polygon formula = (n - 2) × 180°

Where, n is the number of sides in a polygon.

Here,

Pentagon has 5 sides.

Then,

Sum of interior angles = (5 - 2) × 180° = 3 × 180° = 540°

That is,

The sum of interior angles of a tray that is of pentagon shape is 540°

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The question is incomplete. Completed question is given below;

Suppose is Jeanine is building a tray for a floral table centerpiece in the shape of a pentagon. The sum of the interior angles of the tray will be

help me please (asap)

Answers

(C) represents a function with the same rate of change at the function       [tex]y = \frac{7}{4}x+3[/tex].

Given equation,

[tex]y = \frac{7}{4}x+3[/tex]

Slope = m = 7/4

Slope = (x2-x1)/(y2-y1)

Now we will check every option and find slope which we be 7/4.

(A) A(1,0) and B(5,-4)

    Slope = (-4-0)/(5-1)

               = -4/4

               = -1

               ≠ m

(B) A(-1,1) and B(0,4)

     Slope = (4-1)/(0+1)

                = 3/1

                = 3

                ≠ m

(C) A(-4,-6) and (0,1)

    Slope = (1+6)/(0+4)

               = 7/4

               = m

(D) A(0,-2) and B(-4,5)

    Slope = (5+2)/(-4-0)

               = 7/-4

               = -7/4

               ≠ m

Hence, only (C) satisfies the situation.

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solve 3x + 5 = 2x + 7

Answers

Answer:

x = 2

Step-by-step explanation:

3x + 5= 2x + 7

Subtract 2x from both sides

3x + 5 −2x = 7

Combine 3x and −2x to get x

x + 5 = 7

Subtract 5 from both sides

x = 7 − 5

Subtract 5 from 7 to get 2

x = 2

PLEASE HELP THIS IS OVER DO

Answers

Answer:

its the third one

oh this is easy

Baker barrowed $7,400 at 10.5% for 1/4 years. How much interest will he pay
back?

Answers

Answer: $194.25

Step-by-step explanation:

Given data

Principal=  $7400

Rate=  10.5%

time= 1/4 years

The simple interest formula is given as

SI= PRT/100

substitute

SI= 7400*10.5* 0.25/100

SI= 19425/100

SI= $194.25

Hence Mark will pay  $194.25

Help me please!!!!!!

Answers

Answer:5 35/36

Step-by-step explanation:

63 13/18 − 57 3/4 =?

Solving the whole number parts

63−57=6

Solving the fraction parts

13/18−3/4 is equal to 26/36 − 27/36

Combining the whole and fraction parts

6−1/36 = 5 35/36

The answer will be 5 35/36

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!

Answers

Answer:

X = 67, Y = 113

Step-by-step explanation:

To find y: 180-62-51=67

To find x: 180-67 = 113

Total angle in a triangle sums to 180 degrees

Total angle in a straight line is also 180 degrees

What is the domain of the relation? {(3,4),(2,3),(2,0),(4,2),(3,6)} Responses {0,2,3,4,6} {0,2,3,4,6} {0,3,6} {0,3,6} {0,2,3,4} {0,2,3,4} {2,3,4}

Answers

The domain of the given relation is: {2, 3, 4].

What is the Domain of a Relation?

A relation has ordered pairs of values that are given as x and y coordinates, (x, y) In a relation, the values of the x coordinates are the domain of the relation while the values of the y coordinates are the range of the relation.

Given the relation, {(3,4),(2,3),(2,0),(4,2),(3,6)}, the set of x-values is: {2,3,4}. the set of y-values is: {0, 2, 3, 4, 6}.

{2,3,4} represents the domain while {0, 2, 3, 4, 6}. represents the range.

Therefore, the domain of {(3,4),(2,3),(2,0),(4,2),(3,6)} is given as: {2, 3, 4].

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What is the rate of change (slope) of this graph? Explain how you found the answer.

Answers

to get the slope of any straight line, we simply need two points off of it, wait a minute!!!! holy smokes!! the graph already has two points for us, yeahhh, let's use those then

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{5}}} \implies \cfrac{ -7 }{ -5 } \implies {\Large \begin{array}{llll} \cfrac{7 }{ 5 } \end{array}}[/tex]

Which values are in the solution set of the compound inequality? Select two options. 4(x + 3) ≤ 0 or x+1>3 –6 –3 0 3 8

Answers

The values -3 , -6 , 3 , 8 are in the solution set of the compound inequality 4(x + 3) ≤ 0 and x + 1 > 3

Given, a compound inequality

4(x + 3) ≤ 0 and x + 1 > 3

Now, on solving the first inequality, we get

4(x + 3) ≤ 0

4x + 12 ≤ 0

On subtracting both the sides by 12, we get

4x + 12 - 12 ≤ 0 - 12

4x  ≤ -12

On dividing both the sides by 4, we get

4x/4  ≤ -12/4

x ≤ -3

So, the solution set of the 4(x + 3) ≤ 0 inequality be, x ≤ -3 i.e. all the real numbers less than -3.

Now, on solving the second inequality, we get

x + 1 > 3

On subtracting both the sides by 1, we get

x + 1 - 1 > 3 - 1

x > 2

So, the solution set of the x + 1 > 3 inequality be, x > 2 i.e. all the real number greater than 2.

Now, the values in the solution set of the compound inequality

4(x + 3) ≤ 0 and x + 1 > 3 be,

x ≤ -3 and  x > 2.

As, we can see -3 , -6 , 3 , 8 are satisfying the condition.

Hence, -3 , -6 , 3 , 8 are the values in the solution set of the compound inequality 4(x + 3) ≤ 0 and x + 1 > 3.

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Condense each expression to a single logarithm

Answers

The single logarithms found by logarithm properties are listed below:

Case 31

㏒₃ 277809109776

Case 32

㏒₅ 134456

Case 33

5 · ㏒₇ (a / b²)

Case 34

㏑ (a⁶ / b)⁶

Case 35

㏒₇ (c⁴ · [tex]\sqrt[3]{a}[/tex])

Case 36

㏒₈ [w · (√u · v)]

How to simplify logarithmic expressions

In this problem we find six cases of logarithmic expressions that must be simplified into a single logarithm by logarithm properties. The complete procedure for each case is shown below:

Case 31

8 · ㏒₃ 11 + 4 · ㏒₃ 6

㏒₃ 11⁸ + ㏒₃ 6⁴

㏒₃ (11⁸ · 6⁴)

㏒₃ 277809109776

Case 32

5 · ㏒₅ 7 + 3 · ㏒₅ 2

㏒₅ 7⁵ + ㏒₅ 2³

㏒₅ (7⁵ · 2³)

㏒₅ 134456

Case 33

5 · ㏒₇ a - 10 · ㏒₇ b

㏒₇ a⁵ - ㏒₇ b¹⁰

㏒₇ (a⁵ / b¹⁰)

㏒₇ (a / b²)⁵

5 · ㏒₇ (a / b²)

Case 34

36 · ㏑ a - 6 · ㏑ b

㏑ a³⁶ - ㏑ b⁶

㏑ (a³⁶ / b⁶)

㏑ (a⁶ / b)⁶

Case 35

4 · ㏒₇ c + (1 / 3) · ㏒₇ a

㏒₇ c⁴ + ㏒₇ [tex]\sqrt[3]{a}[/tex]

㏒₇ (c⁴ · [tex]\sqrt[3]{a}[/tex])

Case 36

㏒₈ w + (1 / 2) · ㏒₈ u + (1 / 2) · ㏒₈ v

㏒₈ w + ㏒₈ √u + ㏒₈ √v

㏒₈ [w · (√u · v)]

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simplify (4^7/5^2) ^3

1. 4^10/5^5
2. 4^4/5
3. 4^21/5^6
4. 12^7/15^2

Answers

Answer: 3: 4^21/5^6

Step-by-step explanation:

Remember when you are raising you need to multiple the powers.

please help me with these questions there not answered by the way

Answers

The equivalent expression of 6⁵ is 6² × 6³.

The equivalent expression of 5⁻² × 5⁵ × 5  is 5⁴.

How to find equivalent expression?

Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.

Equivalent expressions are expressions that work the same even though they look different.

Therefore, let's find the expression, equivalent to 6⁵,

Using law of indices,

[tex]A^{x} X A^{y} = A^{x +y }[/tex]

Hence,

6² × 6³ = 6²⁺³ = 6⁵

5⁻² × 5⁵ × 5 = 5⁻²⁺⁵⁺¹ = 5⁴

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If you have 6 eggs and 2 bananas for 4 people how many eggs and bananas would you need for 10 people?

Answers

you would need 9 eggs 6 bananas for 10 people
Answer: 15 eggs and 5 bananas.

Explanation: 6 eggs divided by 4 people= 1.5. 1.5 eggs x 10people = 15 eggs.
2 bananas divided by 4 people=0.5. 0.5 bananas x 10 people = 5 bananas. You divide to figure out the exact amount of eggs and bananas per person. Once you have the amount per person, you multiply that by 10.

HELP ME PLEASE SOMEONE

Answers

Answer:

x = 3

Step-by-step explanation:

15x + 8 and 9x + 26 are corresponding angles and are congruent , then

15x + 8 = 9x + 26 ( subtract 9x from both sides )

6x + 8 = 26 ( subtract 8 from both sides )

6x = 18 ( divide both sides by 6 )

x = 3

What is the value of x?
C 5
C42
(+6)
(3-16)
22
38

Answers

The value of x is 38.

Evaluate the following permutations and combination
a) N = ( 3P4 ) ( 5P2 ) b) N = (3C2) / (4C2)

Answers

By using the definitions of combinations and permutations:

a) The first permutation is not defined.

b) N =  (³C₂) / (⁴C₂) = 1/2.

How to evaluate the permutations and combinations?

A permutation:

ⁿPk is written as:

ⁿPk= n!/(n - k)!  

(the denominator only appears if nk)

And a combination is written as:

ⁿCk = n!/(n - k)ka)

We have the product of two permutations, but there is a problem:3P4 The first number is the size of the set, and the second is the number of elements we take from that set.

In that permutation we have a set of 3 elements and we need to select 4, so that permutation is not defined.

b) (³C₂) = 3!/(3 - 2)!*2! = (3*2*1)/(2*1) = 3  

(⁴C₂) = 4!/(4 - 2)!*2! = (4*3*2*1)/[(2*1)*(2*1)]

= 3*2 = 6

Then the quotient can be written as:

(³C₂) (⁴C₂)  = 3/6 = 1/2.

Note that A quotient is seen as the outcome of dividing two numbers by each other.

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A line passes through the points (6,0) and (9,1). What is its equation in slope-intercept form?

Answers

Equation of line will be y = x/3 - 2

A line's equation can be written in many forms in which one is slope-intercept form.

Equation in slope-intercept form is written as y = mx + c where

m = slope

c = y intercept

Slope shows the steepness of the line. It can be given by change in y axis by change in x axis.

y intercept is the point where the line cuts the y axis that is x = 0 at this point.

Points given to us are (6 , 0) and (9 , 1)

slope = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

m = (1 - 0) / (9-6)

m = 1/3

For c put values of either point in the equation as they both are on the line so they both will satisfy the equation.

y = mx + c

0 = (1/3)*6 + c

0 = 2 + c

c = -2

now put values of m and c in the equation and get a general equation.

Therefore of equation of line will be y = x/3 - 2

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Write an equation in standard form on the line shown in the graph. (-4,3) (-5,2)​

Answers

The equation to line is x-y+7=0.

What is a line?

A line is an indefinitely long, straight object that, despite being drawn with a minimum width, is considered to have no particular width in mathematics.

Main Body:

We know that equation of line in two point form =

y-y₁ =( y₂-y₁)/(x₂-x₁)(x-x₁)

points given are (-5,2) and (-4,3).

Therefore

y-2 =( 3-2)/(-4+5) *( x+5)

y-2 = x+5

x-y+7=0

Hence the equation is x-y+7=0.

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Carmen purchased 11/12 lbs. of grapes and Hunter purchased 2/12 lbs. of grapes. How many more grapes did Carmen purchase than Hunter?

Answers

The amount of grapes Carmen purchase than Hunter is 3/4 lbs

How to determine the count of more grapes Carmen purchase than Hunter?

From the question, we have the following parameters that can be used in our computation:

Carmen = 11/12 lbs

Hunter = 2/12 lbs

The difference between these parameters is the amount of grapes Carmen purchase than Hunter

This is represented as

Difference = Carmen - Hunter

Substitute the known values in the above equation, so, we have the following representation

Difference = 11/12 - 2/12

Evaluate

Difference = 9/12 = 3/4

Hence, the amount of grapes is 3/4 lbs

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What is the total perimeter of this figure?

Answers

The compound figure formed by a square and four circular sections has an approximate perimeter of 308.496 centimeters.

How to calculate the perimeter of a compound figure

In this question we find a compound figure formed by a square with a side length of 30 centimeters and four circular sections with central angle of 270° and a radius of 10 centimeters. The perimeter of the compound figure (p), in centimeters, is the sum of the perimeter of the square and the perimeter of the four circular sections:

p = p' + 4 · p''

Where:

p' - Perimeter of the square, in centimeters.p'' - Perimeter of the circular section, in centimeters.

p = 4 · (30 cm) + 4 · (3π / 2) · (10 cm)

p = 120 cm + 60π cm

p ≈ 308.496 cm

The perimeter is approximately equal to 308.496 centimeters.

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Which expressions are equal to 3 1/4 - (-5/8)

Answers

Answer:B 3 1/4 + (5/8)

D 3 1/4 + (+5/8)

Step-by-step explanation:

Calculation

an expression is the combination of numbers and operators like +, - * or /

If we have any equal sign then it is an equation .

Given expression is :

to find out equivalent expression  we  remove the parentheisis  by multiplying negative inside the parenthesis

Negative  times negative becomes positive

first fraction is positive . So it remains the same

Multiply negative inside the parenthesis . Negative times negative is positive

so, the equivalent expressions are

"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?

The rocket reaches its maximum height at second(s) after launch.

(Simplify your answer.)

The maximum height reached by the object is feet.

(Simplify your answer.)"

Answers

The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket by evaluation is; 88 feet.

What is the maximum height reached by the rocket?

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Ultimately, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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A line that intersects two or more lines in a plane at different points is called a?. explain how the electron transport chain is able to produce atp from adp. discuss the similarities differences of this process in cellular respiration and photosynthesis. imagine you own your own business. how would you evaluate opportunity costs and comparative advantage when making business decisions? Darbi and Su had sushi for lunch Su's Sushi was $2 more than Darbi sushi. Darbi and Su split the cost of the sushi lunch evenly and each paid at 20% tip if the cost of Su's sushi is represented by s, which of the following expressions represents the amount in dollars that each paid?a)1.2s-1.2b)1.8sc)2.4s-2.4d)0.2s-0.2 of the ad formats available on the display network, which one will automatically adjust its presentation to best fit the available space on page? homas edison invented a phonograph and one of the first motion picture cameras, but his most important invention was much simpler. what was it? what type of x-ray machine includes pieces of high-resolution fixed x-ray equipment that allow physicians to diagnose and perform surgery in a minimally invasive manner? in at least 150 words, discuss the purpose for including references to the affair between Abigail and Proctor in The Crucible. the cessna cardinal, a single-engine light plane, has a wing area of 16.2 m2 and an aspect ratio of 7.31. assume the span efficiency factor is 0.62. if the airplane is flying at standard sea-level conditions with a velocity of 300 km/h, what is the induced drag when the total weight is 9800 n? in accordance with the broad scope of the omnibus crime control and safe streets act 1968, the federal law enforcement assistance administration sought to Explain how you can change pathways in your brain to break a bad habit and create new and better habits. What is the best evidence that all life evolved from prokaryotic rather than eukaryotic ancestors?. research suggests that taking supplemental vitamin c group of answer choices can reduce the severity of a cold once it has begun. can prevent colds. can reduce the duration of colds. has no effect on the incidence, duration, or severity of colds. A pregnant client is undergoing a fetal biophysical profile. which parameter of the profile helps measure long-term adequacy of the placental function? a client waiting to be seen for a clinic appointment is observed periodically shaking the left wrist. on what should the nurse focus when assessing this client? please help me answer this worksheet (Geometry Worksheet 3.3) please help :((Holly is writing an essay and wants to use a word with the same definition as "athletic." She will choose the word based on its connotation denotation figurative language syllables a tax on consumers of a good would shift the curve down and cause the price paid by consumers to . show that angular velocity w=22 What chemical species are produced when borax dissolves in water? select all that apply.