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Based on the calculation, we can say that there is an extraneous solution to the equation

Given the equation solved by Marc expressed as:

[tex](\sqrt[4]{x})^3=5[/tex]

We are to check if the indices equation has an extraneous equation.

According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:

[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]

Raise both sides to the power of 4/3 as shown:

[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]

This shows that there is an extraneous solution to the equation

Learn more here: https://brainly.com/question/12232011

Answer:

1/4

Step-by-step explanation:

2^7/2^9 = 1/2^2

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

Answer:

88 miles per hour

Step-by-step explanation:

12 + 122 = 134 minutes for the entire journey

The total distance was 197 miles.

The avarage speed is the total distance divided by the total time:

Convert the time from minutes to hours dividing it by 60:

134/60 = 2.24 hours

197/2.24 = 87.95 ≈ 88 miles per hour

Answer:

The other measure is 60º

Step-by-step explanation:

a triangle= 180º total

a right triangle has one 90º angle

there is a 30º angle given

180-90=90

90-30=60

so 60º

Answer:

Step-by-step explanation:

C(x) = ax2 + bx + c

C(x) = x2  -19x + 50

8150 = x2  -19x + 50

x2  -19x + 50 = 8150

x2 -19x-8100 = 0

this is a quadratic equation, solved as

x = −b ± √(b2 − 4ac) 2a ·

or

x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·

x= 19± √((-19)x(-19) − 4(1) x(-8100))/2

x = 100

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The second line of the function is ...

  f(x) = 6, x ≥ 3

This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).

This shows only on the attached graph.

Answer:

4th graph

Step-by-step explanation:

Answer:

blank 1 = 4

blank 2 = -5

blank 3 = -1

Step-by-step explanation:

Answer: random sampling

Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.

Answer:  B random sampling .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well, in order to find the unit rate we simply do the following steps:

4,581 ÷ 9 = 509

So to answer the question, each week Robin earns $509.

Hope this helps! : )

Answer:

they earn 509 a week

Step-by-step explanation:4581 divided by 9

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

Answer:

Answer:

leave unknown variables alone on one side. throw the numbers to the other side of the equation by changing sign

Step-by-step explanation:

18 hours = $180

1 hour = 180/18 = $10

so 30 hours = 30 × 10 = $300

please give me a brainliest answer

Answer: it’s just 2.89 there’s nothing else to it

Answer:

Perimeter = 18m

Area = 18m²

Step-by-step explanation:

On a rectangle, opposite sides have equal lengths. This means to find the perimeter you would do (3 × 2) + (6 × 2) which is 6 + 12 = 18

The perimeter is 18m

To find the area, you would do length × width. The length is 6 and the width is 3 so 6 × 3 is 18

The area is 18m²

Hope this helps!

Answer:

list out some of the difference between Mendeleev periodic table modern periodic table plz give ans

Answer:

m∠6 = 54°

Hope this helps!

Step-by-step explanation:

( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).

Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x.  ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.

Because Supplementary angles equal 180°, 18x + 18 = 180

18x = 162        x = 162/18       x = 9

Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )

∠6 = 45 + 9        ∠6 = 54

Answer:

1)sss

2)asa

3)sas

Step-by-step explanation:

hope this helps

Answer:

width = (21 - 2n) ÷ 2 or 21/2 - n

Step-by-step explanation:

To find Width

let's say width is x

so 2x + 2n = 21

take away 2n from both sides

then 2x = 21 - 2n

Divide both sides by 2 to get x on its own

x = 21 - 2n /2

therefore the width of the rectangle is 21 - 2n /2

Answer:

5*4*3*2*1= 120

you multiply each number to it's previous one till you reach 1

Answer:

170 degree. is the answer

Hey there!

x + 2x - 5 + 6 = 0

1x + 2x - 5 + 6 = 0

3x + 1 = 0

SUBTRACT 1 to BOTH SIDES

3x + 1 - 1 = 0 - 1

CANCEL out: 1 - 1 because that gives you 0

KEEP: 0 - 1 because that helps solve for the x-value

0 - 1 = -1

NEW EQUATION: 3x = -1

DIVIDE 3 to BOTH SIDES

3x/3 = -1/3

CANCEL out: 3/3 because that gives you 1

KEEP: -1/3 because it gives you the value of x

SIMPLIFY IT

x = -1/3

Therefore, your answer is: x = - 1/3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Domain (-infinity, infinity) Range (-4, infinity)

Step-by-step explanation:

look at the x axis. the graph is going forever out, so infinity.

now look at the y axis. where does it stop? -4. you might need to use [ instead of ( when answering your problem (that just means including) hope this helps!

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

Step-by-step explanation:

(i)

Using cos(a - b) = cos a cos b + sin a sin b

[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]

cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]

(ii)

Using cos(a + b) = cos a cos b - sin a sin b

cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]

(iii)

Using cot a = [tex]\frac{cos a}{sin a}[/tex]

[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]

[tex]=\frac{cos A cos B}{sin A sin B}[/tex]

[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex]  [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]

= 3

please give me a brainliest answer

Answer:

.

Step-by-step explanation:

sorry i can't help

Answer:

3.785, but rounded to the nearest tenth is 3.8

Step-by-step explanation:

Hope this helps!

Answer 1,76211454 gallons

Step-by-step explanation: if you are in the UK , 1 gallon = 4,54 liters , in America is 3,78

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

For how to graph this, best to look at the guidelines for graphing a break-even formula.

What we do want to know is where these two values equal each other.

So, set:  400 + 0.20X = 800 + 0.10X

Subtract 400 from both sides; also subtract 0.10X from both sides, to get:

0.10X = 400

To solve for "X", divide out both sides by:  0.10, to get:

X = 4,000

What can can glean from this, is that:

(1)  The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;

(2)  The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.

Answer:

The answer is photo.

Step-by-step explanation:

So:

167 - 66 = 101

So the total of Spain is 101

Now what is Marc’s value for Spain?

33 + 40 = 73

101 - 73 = 28

Marc’s value is 28.

Elli’s value for Portugal is unknown. We know Elli’s total is 57 and her value for Spain is 40. So: 57 - 40 = 17.

Elli’s value for Portugal is 17.

Now what is Marc’s total?

We know Spain is 28 and Portugal is 24. So add them:

28 + 24 = 52

Marc’s total is 52.

Now, what is Raisa’s total. We everyone else’s total and we know it all adds up to 167 so:

57 + 52 = 109

167 - 109 = 58

Raisa’s total is 58.

What is her Portugal value?

58 - 33 = 25

Her Portugal value is 25.