simplify the expression \(\sqrt{x}\) · \(2\sqrt[3]{x}\) . Assume all variables are positive

If on  Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.

As per the given data, the extra money he earns can be calculated as,

= [(11 - 7) × 15] × 13 + (7 × 15)]

= (4 × 15 × 13) + 105

= 780 + 105

= £885

Therefore, the amount of money  is £885.

Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.

Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.

To learn more about time and work

https://brainly.com/question/3854047

#SPJ4

Answer:

Let the tens digit of the required number be x and the units digit be y. Then,

x+y=12 .........(1)

Required Number = (10x+y).

Number obtained on reversing the digits = (10y+x).

Therefore,

(10y+x)−(10x+y)=18

9y−9x=18

y−x=2 ..........(2)

On adding (1) and (2), we get,

2y=14⟹y=7

Therefore,

x=5

Hence, the required number is 57.

Step-by-step explanation:

Hope it is helpful...

Step-by-step explanation:

Let X be the 1st digit and Y be the 2nd digit of the two digit number.

We have X * Y = 12 and (10X + Y) = (10Y + X) + 9.

=> XY = 12 and 9X = 9Y + 9

=> XY = 12 and X = Y + 1

Therefore X = 4 and Y = 3. => Number is 43.

Answer:

The car's rate is 50 miles per hour, and it will travel 150 miles in 3 hours

Step-by-step explanation:

There are about 1.6 kilometres in a mile, meaning that in 80 miles there are about 50 miles. This means that the car's rate in miles per hour is about 50. This means that in 3 hours, it will travel about 50*3=150 miles. Hope this helps!

Step 1: Think about this as four separate division questions:

     \(\dfrac{10c^3de^2}{2cde} =\dfrac{10}{2} \cdot \dfrac{c^3}{c} \cdot\dfrac{d}{d}\cdot \dfrac{e^2}{e}\)

Step 2: Simplify each of the four, one at a time:

     \(\begin{aligned}\dfrac{10c^3de^2}{2cde} &=\dfrac{10}{2} \cdot \dfrac{c^3}{c} \cdot\dfrac{d}{d}\cdot \dfrac{e^2}{e}\\[0.5em]&=5 \cdot c^{3-1} \cdot1\cdot e^{2-1}\\[0.5em]&=5 c^{2} e\end{aligned}\)

Answer:

2

Step-by-step explanation:

7y-14=0

7y=14

7y/7=14/7

y=2

12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

Answer:

did you say elsa lol

Step-by-step explanation:

LET IT GO LET IT GOOOOOOOOOOOO

Answer: A 71.05

B 11.7

It can be confusing but here are your answers

Answer:

b. 0.30

Step-by-step explanation:

To find the relative frequency, divide the frequency of smoothie votes 30 by the total number of votes 100.

\(\frac{30}{100} =0.30\)

The nursing home's annual profit approximately $9697.

Annual prοfit cοmprises all prοfit, i.e. οperating prοfit, prοductiοn fοr οwn use, inventοry οf finished prοducts, tax revenue, state subsidies and financing incοme, in the prοfit and lοss accοunt befοre the annual cοntributiοn margin.

We have,

P(w, r, s, t) = 0.008057 w-0.654 r1.027 s 0.862 t2.441

put w=18, r=70%=0.7, s=430000, t=8

P(w, r, s, t) = 0.008057(18) -0.654 (0.7)1.027 (430000) 0.862 (8)2.441

P(w, r, s, t) = 0.008057(0.7)1.027 (430000)0.862 (8)2.441/(18)0.654

P(w, r, s, t) = = 64206.87274/6.62137

P(w, r, s, t) = 9696.91661

P(w, r, s, t) = 9697

Thus, The nursing home's annual profit approximately $9697.

Learn more about annual profit

https://brainly.com/question/24528399

#SPJ4

Complete question:

Answer:

p is 8.375

Step-by-step explanation:

\({ \rm{10p + 5 = 18p - 62}} \\ \\ { \rm{18p - 10p = 5 + 62}} \\ \\ { \rm{8p = 67}} \\ \\ { \rm{p = 8.375}}\)

The decimal representation of binary number is r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

To convert r to decimal representation, we need to use the following formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

In this formula, represents the i-th bit of the binary representation of r, and the exponent represents the place value of that bit. The rightmost bit, or the one with the smallest exponent, has a place value of 2⁰, while the leftmost bit, or the one with the largest exponent, has a place value of  2⁶³

Let's say we have the binary representation 1101. To convert this to decimal, we would use the formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³

Simplifying this equation, we get:

r = 1 + 0 + 4 + 8

r = 13

So, the decimal representation of the binary number 1101 is 13.

To know more about decimal here.

https://brainly.com/question/9543292

#SPJ4

Complete Question:

Write the number r in decimal representation if the 64-bit binary representation of r by using the Boolean expressions.

Answer:

Step-by-step explanation:

The answer is simple

18 - 1 = 17

Answer:

18<b

Step-by-step explanation:

b can repersent any number and you can use any letter in replace of b.

Hope this helps!

Answer:

x=36

Step-by-step explanation:

Step 1: Subtract 2 from both sides

\(2+\frac{x}{-18}-2=0-2\)

Step 2: Simplify

\(\frac{x}{-18}=-2\)

Step 3: Multiply both sides by -18

\((-18)\frac{x}{-18}=-2(-18)\)

-2(-18)=36

x=36

The Pythagorean theorem indicates that the value of the variables x, y, and z, are;

x = 4, y = 21, and z = 2·√(21)

The Pythagorean theorem states that the square of the length of the hypotenuse side of a right triangle is equivalent the sum of the squares of the lengths of the other two sides of the triangle.

The figure indicates;

x + y = 25

The Pythagorean theorem for the right triangle indicates that we get;

x² + z² = 10²

z² + y² + 10² = 25²

Therefore; z² = 10² - x²

(10² - x²) + y² + 10² = 25²

10² - x² + y² + 10² = 25²

x + y = 25

y = 25 - x

10² - x² + (25 - x)² + 10² = 25²

200 - 25·x - 25·x + 625 = 25²

825 - 50·x = 25²

825 - 25² = 50·x

50·x = 825 - 25² = 200

x = 200/50 = 4

x = 4

y = 25 - 4 = 21

z² = 100 - 16 = 84

z = √(84)

z = 2·√(21)

Learn more on the Pythagorean Theorem here: https://brainly.com/question/343682

#SPJ1

Answer:

3

Step-by-step explanation:

Evaluate x/4 + 6 (x - 12) where x = 12:

x/4 + 6 (x - 12) = 12/4 + 6 (12 - 12)

Hint: | Reduce 12/4 to lowest terms. Start by finding the GCD of 12 and 4.

The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:

3 + 6 (12 - 12)

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

6×0 + 3

Hint: | Any number times zero is zero.

0×6 = 0:

0 + 3

Hint: | Simplify the expression.

Write 3 + 0 as 3:

Answer: 3

The answer is three.

Explanation:

Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

To know more about trigonometry visit:

https://brainly.com/question/26719838

#SPJ4

Graph B is described by the function y=x²-4x-12.

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Here,

If we mention x = 0 then y = -12 and

we do the same with y if we mention y = 0 then x = 6

and x = -2 and we will find these cases only in graph B

Hence, Graph B is described by the function y=x²-4x-12.

To learn more about function from the given link

https://brainly.com/question/25638609

#SPJ1

Answer:

Below

Step-by-step explanation:

See attached image below

Answer:

a=12

Step-by-step explanation:

brainlest if this helped so much !

Answer:

Its A. 12

Step-by-step explanation:

Hope this helps!

Answer:

x = 65

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 115 = 180 ( subtract 115 from both sides )

x = 65

When they decide to bid the same then the probability of Barney getting the car is 1/3. The expected profit by Barney will be the difference amount of SL and SH.

Given:

if arnie, barney and carny agree to always bid $l,

, then on any given day, what is the probability that barney gets the car for $l when it is actually worth $l to him = ?

When they choose to place identical bids, Barney has a 1/3 chance of winning the automobile. The difference between SL and SH will represent Barney's anticipated profit.

Hence we get the required answer.

Learn more about Profit here:

brainly.com/question/24553900

#SPJ4

Just-in-time (JIT) delivery is a supply chain management strategy that aims to improve efficiency and reduce inventory costs by having materials and goods delivered exactly when they are needed in the production process.

This approach requires suppliers to be able to respond to the customer's production schedule, ensuring timely deliveries to prevent disruptions. As a result, JIT delivery shifts greater responsibility for physical distribution activities from the supplier to the business customer, who needs to closely monitor inventory levels and maintain efficient communication with suppliers.

However, JIT delivery does not typically lead to larger, less frequent deliveries, nor does it inherently increase physical distribution costs. In fact, it may reduce costs by minimizing inventory storage expenses. Additionally, e-commerce order systems and computer networks are often utilized to facilitate the communication and coordination required for effective JIT delivery.

More on Just-in-time: https://brainly.com/question/28852204

#SPJ11

The length of the base of the triangle is 16 m and the height of the triangle is 10 m

A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.Use the equation area = 1/2 * base * height to determine a triangle's surface area.

The basic Properties of a triangle :

The length of the base = b m

The height of the triangle = b - 6 m

The area of the triangle = 80 m²

Therefore,

(1/2)*b*(b-6) = 80

⇒ b² - 6b = 160

⇒ b² - 6b - 160 = 0

⇒b² - 16b + 10b - 160 = 0

⇒b(b-16) + 10(b- 16) = 0

⇒(b-16)(b =10) =0

The value of b = 16 and b = -10

The value of b is 16 as -10 is negetive and cannot be the length of the triangle.

The height of the triangle = b-6 = 10 m

To learn more about Triangles refer to :

https://brainly.com/question/11230131

#SPJ4

Answer: x=25

Step-by-step explanation:

3(x - 5) = 2(x + 5)

3x-15=2x+10

x-15=10

x=25

Answer:

x = 25

Step-by-step explanation:

Given expression:

\(\sf 3(x - 5) = 2(x + 5)\)

distribute inside parenthesis

\(\sf 3x - 15 = 2x + 10\)

collect like terms

\(\sf 3x -2x = 10+15\)

simplify following

\(\sf x =25\)

To check answer:

substitute x = 25 in equation

\(\sf 3(25 - 5) = 2(25+5)\)

simplify

\(\sf 3(20) = 2(30)\)

evaluate

\(\sf 60=60\)

As the statement is true, the answer is correct.

Answer: Side Angle Side

Answer:

B.

She can rotate triangle DEF 180and then compare the angles and sides. She will see that the triangles are congruent by the Side Angle Side theorem.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

This shows that both functions have the same slope.

Answer:

m=12

Step-by-step explanation:

6m+72=144

Subtract 72

6m=72

Divide 6

m=12

Answer:

1/16IB

Step-by-step explanation:

Differnce means to subtract which means we need to subract the two fractions. First find the the lowest of common factor for both fractions. In this case it is 16 because 4 can go into 16 four times as 4x4=16.

Since we know that 4 goes into 16 four times we get the 4 and then multiply it by the numerator (the top number of the fraction) for the fracion 1/4. Now the fraction 1/4 is 4/16. Keep the 3/16 the same as the denominator  (bottom number of fraction) is already our common factors between the two fractions.

Work Shown:

Orginal Equation: 1/4-3/16

Get common Denomiantors: Convert 4 to 16. 4 goes into 16 four times, multiply by 4 by numerator. 4X1=4.

Final Step: Since both are now common fractions just subtract the numerators keeping the denominators the same of the fractions.

4/16-3/16= 1/16

Final Answer: 1/16IB

Answer:

solution,

CD=3x-12

AB=14

BD=6

AC=21

Angle bisector theorem ,

\( \frac{ab}{bd} = \frac{ac}{cd} \\ \: or \: \frac{14}{6} = \frac{21}{3x - 12} \\ or \: 14(3x - 12) = 21 \times 6( \: cross \: multiplication) \\ or \: 42x - 168 = 126\)

Adding 168 on both sides

\(or \: 42x - 168 + 168 = 126 + 168 \\ or \: 42x = 294\)

dividing 42 on both side

\( \frac{42x}{42} = \frac{294}{42} \\ \)

\(x = 7\)

Hope this helps..

Good luck on your assignment..