Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?

Solving the quadratic function, it is found that the range is of:

between 200 and 250; inclusive

The profit for x tours is modeled by the following equation:

[tex]p(x) = -2x^2 + 900x - 40000[/tex]

It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:

[tex]60000 = -2x^2 + 900x - 40000[/tex]

[tex]2x^2 - 900x + 10000 = 0[/tex]

Simplifying by 2:

[tex]x^2 - 450x + 50000 = 0[/tex]

Which has [tex]a = 1, b = -450, c = 50000[/tex]

Then:

[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]

[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]

[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]  

At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:

between 200 and 250; inclusive

A similar problem is given at https://brainly.com/question/25181401

Answer:

Well, what's the question?

Answer:

½x - 40​

Step-by-step explanation:

Answer:

Hello,

Here is your answer:

2/6

Answer:

b / (b/100×b)

= b / (b/50

= 50b/b

= 50

Step-by-step explanation:

brainliest plz

Answer:

b²/0.0b

Step-by-step explanation:

You're asking what is

[tex] \frac{b}{b\%} \times b[/tex]

Know that b% translates to b/100=0.0b

b×b=b²

Therefore it becomes

[tex] \frac{ {b}^{2} }{0.0b} [/tex]

Answer:

multinomial

Step-by-step explanation:

polynomial are equal to multinomial

Answer:

The simplest way I can describe dividing fractions is like multiplying fractions but upside down.

Example:

1/2 ÷ 1/3

To do this, the easiest way is to "flip" the second fraction.

It then becomes:

1/2 × 3/1

Then you just multiply across and you get a product of 3/2 or 1 1/2

Answer:

631226

Step-by-step explanation:

The grid reference number for the mine shown is (63.35, 12.7).

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given grid,

The reference point is (63.35, 12.7)

Therefore, the grid reference number for the mine shown is (63.35, 12.7).

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

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Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

Answer:

It is c

Step-by-step explanation:

Answer:

y = 1/2x + 4

Step-by-step explanation:

hope this helps

Step-by-step explanation:

I am not sure but i think it is D or E (last 2 choices)

Sorry if wrong

Answer:

(7+x)°=180-130

x=50-7

x=43

Answer:

20.41

Step-by-step explanation:

I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23

Answer:

264

Step-by-step explanation:

to find one hour

110÷5=22 per hour

12×22=264

Answer: Lamar would make $264 in 12 hours of work.

First we would try to find how much he would make in an hour, so technically the unit rate.

TO find the unit rate we have to do 110/5 which is equal to $22

Then we know that Lamar is working for 12 hours and that he makes $22 per hour. SO,  12 times 22 is 264.

Step-by-step explanation:

I hope this helps, if you are having a tough time with math you can use:

khan academy

math nation

and many more free sites!

Answer:

$2.67

Step-by-step explanation:

$12.00 divided by 4.5 (aka four and a half) = 2.6666 = amount per pound

Round to the nearest cent. 2.666, that last six makes the six in the hundredths place round up to 7.

Answer:

yes

Step-by-step explanation:

could I get brainliest please

Answer:

A should be correct.

Step-by-step explanation:

Given, a = 1/2 and b = -1/3

First, let's solve the numerator. Then we have:

1/2 - 1/3

= 1/6

Since we found out our numerator, It is time to find out our denominator.

We have:

1/2 x -1/3

= -1/6

Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.

1/6 divided by -1/6 is equaled to -1.

Therefore, A should be correct.

Kind requests:

Please give me brainliest. Glad to help :)

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Answer:

A. -1

Step-by-step explanation:

1/2 + -1/3

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

1/2 x -1/3

First, make 1/2 and -1/3 have the same denominator

1/2 x 3/3 = 3/6

-1/3 x 2/2 = -2/6

Add

3/6 + -2/6 = 1/6

Multiply

1/2 x -1/3

1 x -1

-------

2 x 3

= -1/6

This makes the big equation

1/6

-----

-1/6

Simplify

1/6 / 1/6

-----------

-1/6 / 1/6

1/-1

or -1

Explanation:

The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]

That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.

So,

[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]

The correct answer is C.

Hope this helps !! :)

Answer:

HGD: 117

FDG: 180

Step-by-step explanation:

Answer:

<HDG = 117 degrees

<FDG = 63 degrees

Step-by-step explanation:

Its a straight line

These are supplementary angles

If its a striaght line its 180 degrees.

We already know theres a 63 degrees so we jsut gotta subtract

180-63=117

So 117 degrees for HDG

Answer:

53 degrees

Step-by-step explanation:

m<J = m<Q

Answer:

100,000

Step-by-step explanation:

[tex] (\dfrac{10^{-2}}{10^3})^{-1} = [/tex]

When you divide powers with the same base, subtract the exponents.

[tex] = (10^{-2 - 3})^{-1} [/tex]

[tex] = (10^{-5})^{-1} [/tex]

To raise a power to a power, multiply the exponents.

[tex] = 10^{-5 \times (-1)} [/tex]

[tex] = 10^5 [/tex]

[tex] = 100,000 [/tex]

Answer:

a) 2300 ml = 2.3 l

b) 9400 ml = 9.4 l

c) 9 l = 9000 ml

d) 7 l = 7000 ml

e) 9.7 l = 9700 ml

f) 670 ml = 0.67 l

g) 217 ml = 0.217 l

h) 1200 ml = 1.2 l

Step-by-step explanation:

For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.

Answer: y = 2x -2

Step-by-step explanation: parallel is same slope diff y intercept

y = 2x

4 = 2(3) + x

4 = 6 + x

x = -2

Answer:

[tex]5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{3}*1\frac{3}{4}[/tex]

[tex]\frac{10}{3} *\frac{7}{4} \\[/tex]

[tex]\frac{10*7}{3*4}[/tex]

[tex]\frac{70}{12}[/tex]

First you can divide both sides by 2

[tex]\frac{70}{12}=\frac{35}{6}[/tex]

Now make it as a mix number

[tex]\frac{35}{6} =5\frac{5}{6}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

[tex](x+5)^{2} (x-2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^3} +8x^{2} +5x-50[/tex] using polynomial division.

[tex](x^{2} +10x+25)(x-2)[/tex]

2) Rewrite [tex]x^{2} +10x+25[/tex] in the form [tex]a^{2} +2ab+b^{2}[/tex], where a = x and b = 5.

[tex](x^{2} +2(x)(5)+5^{2} )(x-2)[/tex]

3) Use Square of Sum: [tex](a+b)^{2} =a^{2} +2ab+b^{2}[/tex].

[tex](x+5)^{2} (x-2)[/tex]

Answer:

9600 words in an hour.

Step-by-step explanation:

There are sixty minutes in an hour.

60/6=10

multiply 960 by 10

960*10=9600

The secretary can type 9600 words in 1 hour.

Number of sold cappuccinos will be 60.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A coffee shop sells lattes for $4 and cappuccinos for $3.

Last Friday, they sold 78 drinks for a total of $252.

Now,

Let number of lattes = x

Number of cappuccinos = y

Since, Last Friday, they sold 78 drinks.

So, we can formulate;

x + y = 78   ... (i)

And, Last Friday, they sold 78 drinks for a total of $252.

So, we can formulate;

4x + 3y = 252 ... (ii)

Solve equation (i) and (ii) we get;

x + y = 78

4x + 3y = 252

Multiply by 4 in equation (i) and subtract from (ii) we get;

4x + 3y - 4x - 4y = 252 - 312

- y = - 60

y = 60

And, x + y = 78

x + 60 = 78

x = 18

Thus, Number of sold cappuccinos will be 60.

Learn more about the linear expression visit:

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