If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?

The missing value that completes the frequency table is 100

A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.

How to solve:

From the graph given,

The battery life(hours) from x = 15  to x= 20 has a frequency of 130

The battery life(hours) from x= 28 to x= 30 has a frequency of 100

It can be inferred that from the battery life of the different models, the missing value is 100 and when you crosscheck the data, you would find this is correct and accurate.

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Answer:

Step-by-step explanation:

f(x)=3x

2

+9x−16

Quadratic polynomial can be factored using the transformation ax

2

+bx+c=a(x−x

1

​

)(x−x

2

​

), where x

1

​

 and x

2

​

 are the solutions of the quadratic equation ax

2

+bx+c=0.

3x

2

+9x−16=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±

b

2

−4ac

​

​

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=

2×3

−9±

9

2

−4×3(−16)

​

​

Square 9.

x=

2×3

−9±

81−4×3(−16)

​

​

Multiply −4 times 3.

x=

2×3

−9±

81−12(−16)

​

​

Multiply −12 times −16.

x=

2×3

−9±

81+192

​

​

Add 81 to 192.

x=

2×3

−9±

273

​

​

Multiply 2 times 3.

x=

6

−9±

273

​

​

Now solve the equation x=

6

−9±

273

​

​

 when ± is plus. Add −9 to  

273

​

.

x=

6

273

​

−9

​

Divide −9+

273

​

 by 6.

x=

6

273

​

​

−

2

3

​

Now solve the equation x=

6

−9±

273

​

​

 when ± is minus. Subtract  

273

​

 from −9.

Answer:

4

Step-by-step explanation:

You have a table of values, x is the input and y is the output. One trick to figure out the answer is to look at the x input "0". We notice that when we input 0, we get an output of 4, therefore meaning that every other function value is simply an addition of 4.

-2 + 4 = 2

-1 + 4 = 3

0 + 4 = 4

1 + 4 = 5

2 + 4 = 6

3 + 4 = 7

Therefore, the equation is [y = x + 4]

The total number of boxes required to cover the kitchen floor is 14.

The dimensions of the kitchen floor are 14' × 24'

⇒Length of the kitchen floor = 14 feet

⇒Width of the kitchen floor= 24 feet

The area of the kitchen floor= Length × Width

⇒ Area = 14 × 24

⇒ Area = 336 sq. ft.

Since, 4 boxes of flooring cover 100 sq. ft.

∴1 box will cover = 100/4 sq. ft.

⇒25 sq. ft.

Now, Number of boxes required to cover the floor of the kitchen will be,

⇒ Area of the floor / Area covered by 1 box of flooring

⇒336/25

⇒ 13.44

∴ The total number of boxes required to cover the kitchen floor is 14 (rounded up from 13.44).

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Answer:b,c

Step-by-step explanation:i got it correct

Answer:

20%

Step-by-step explanation:

12 / 60 = 0.2

0.2 x 100 = 20

20%

(% = Part / Whole × 100)

Answer:

The expression represents the profit is 33x + 390 ⇒ D

Step-by-step explanation:

Let us solve the question

∵ Profit = revenue - cost

∵ The revenue, in dollars, of a company that makes skateboards can be

    modeled by the polynomial 2x³ + 30x - 130

∴ Revenue = 2x³ + 30x - 130

∵ The cost, in dollars, of producing the skateboards can be modeled by

   the polynomial 2x³ - 3x - 520

∴ Cost = 2x³ - 3x - 520

→ Use the rule above to find the profit

∵ Profit = 2x³ + 30x - 130 - (2x³ - 3x - 520)

→ Remember (-)(-) = (+)

∴ Profite = 2x³ + 30x - 130 - 2x³ + 3x + 520

→ Add the like terms

∵ Profit = (2x³ - 2x³) + (30x + 3x) + (-130 + 520)

∴ Profite = 0 + 33x + 390

∴ Profit = 33x + 390

∴ The expression represents the profit is 33x + 390

Answer:

x=2

Step-by-step explanation:

first we will distribute out everything

-2x +5 +4x+ 9 = 3(6 +4x)- 12x

(multiply 3 to both 6 and 4x)  

-2x +5 +4x+ 9= 18 +12x -12x

then combine like variables on both sides

(add -2x and 4x and add 5 and 9, for the other side add 12x and -12x)

2x+14= 18  

then isolate x

2x=4

x=2

and substitute x for 2 to double check

-2(2)+5+4(2)+9=3(6+4(2))-12(2)

18=18

therefore 2 is correct

Answer:

OA) -7.8 repeating... is irrational number

Step-by-step explanation:

I. Repeating Decimal is on of irrational number

II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.

In this Trigonometric Functions F(x) = 1 + cos(1/X):  n=3 (12.01, 8.10),  n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

F(x) = 1 + cos(1/X)

for n=3

Upper sum = 12.01

Lower sum = 8.10

Δx = (b-a)/n = 2π / 3

for n=4

Upper sum = 11.65

Lower sum = 8.50

Δx = (b-a)/n = π / 2

for n=6

Upper sum = 11.24

Lower sum = 9.12

Δx = (b-a)/n = π / 3

Hence, n=3 (12.01, 8.10),  n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value.

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Answer:

15.8 miles

Step-by-step explanation:

Given that:

Distance driven south = 15 miles

Distance driven east = 5 miles

How far is Mr. Martinez from his starting point?

Using Pythagoras :

Distance from starting point(d) :

d = √(15)² + (5)²

d = √225 + 25

d = √250

d = 15.811388

d = 15.8 miles

Answer:

Step-by-step explanation: y=1.5(3)-2

y=2.5

Yes, each input have exactly one output.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

According to question,

y = 1.5x – 2

1. y = (1.5×-3) - 2

     = -6.5

2. y = (1.5×0) - 2

     = -2

3. y = (1.5×3) - 2

      =2.5

4. y = (1.5×6) - 2

      =7

Hence each input have exactly one output.

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Factor 5x^10−80x^2

5x^10−80x^2

=5x^2(x^4+4)(x^2+2)(x^2−2)

Answer:

5x^2(x^4+4)(x^2+2)(x^2−2)

5x^2(x^4+4)(x^2+2)(x^2−2)

Factor 5x^10−80x^2

5x^10−80x^2

=5x^2(x^4+4)(x^2+2)(x^2−2)

Answer:

C. 31 \(\frac{1}{6}\)

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

\(\frac{29}{4}\) · 2² + ( \(\frac{17}{2}\) - 2) ÷ 3

2. Calculate within the parenthesis:

\(\frac{29}{4}\) · 2² + \(\frac{13}{2}\) ÷ 3

3. Calculate the exponent:

\(\frac{29}{4}\) · 4 + \(\frac{13}{2}\) ÷ 3

4. Multiply and divide (left to right):

29 + \(\frac{13}{2}\) ÷ 3

29 + \(\frac{13}{6}\)

5. Add:

\(\frac{187}{6}\)

6. Convert the improper fraction to a mixed number:

= 31 \(\frac{1}{6}\)

hope this helps!

(viii) The simplified form of the expression is 1

(ix) The simplified form of the expression is \(x^{2/3}-}3x + 1\)

(x) The simplified form of the expression is 1

From the question, we are to simplify the given expression

(viii) √(9/16) × 5⁰ × (3/4)⁻¹

3/4 × 1 × 4/3

= 3/4 × 4/3

= 1

(ix) \(x^{1/3}(x^{1/3}-3x^{2/3}+ x^{-1/3})\)

\(x^{1/3}(x^{1/3})-x^{1/3}(3x^{2/3}) + x^{1/3}(x^{-1/3})\)

\(x^{2/3}-}3x^{3/3} + x^{0/3}\)

\(x^{2/3}-}3x + x^{0}\)

\(x^{2/3}-}3x + 1\)

(x) \((81)^{3/4} \times (81)^{-3/4}\)

\((81)^{3/4} \times \frac{1}{(81)^{3/4} }\)

= 1

Hence, the simplified expression is 1

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The values of the simplified indices expressions are;

(i) x⁵

(ii) x³

(iii) 1/x²

(iv) x³

(v) x¹²

(vi) x⁶·y⁴

(vii) \(\dfrac{x^6}{y^8}\)

(viii) 1

(ix) \(x^{2/3}+3\cdot x + 1\)

(x) 1

An index is the a number raised to a variable or number.

The values of the expression are presented as follows;

(i) x² × x³ = x ⁽²⁺³⁾ = x⁵

(ii) x⁵ ÷ x² = x⁽⁵ ⁻ ²⁾ = x³

(iii) x⁻² = 1/(x²)

(iv) \(\frac{1}{x^{-3}}\) = x³

(v) \(\left(x^4\right)^3 = x^{4\times 3}=x^{12}\)

(vi) (x³·y²)² = \(\left(x^{3\times 2}\cdot y^{2\times 2}\right)\) = x⁶·y⁴

vii) \(\left(\dfrac{x^3}{y^4} \right)^2\)= \(\left(\dfrac{x^{3 \times 2}}{y^{4\times 2}} \right)\) = \(\left(\dfrac{x^{6}}{y^{8}} \right)\)

(viii) \(\sqrt{\dfrac{9}{16} } \times 5^0\times \left(\dfrac{3}{4} \right)^{-1} = \sqrt{\dfrac{3^2}{4^2} } \times 5^0\times \left(\dfrac{3}{4} \right)^{-1} = \left(\sqrt{\dfrac{3}{4} }\right)^2 \times 5^0\times \left(\dfrac{3}{4} \right)^{-1}\)

\(\left(\sqrt{\dfrac{3}{4} }\right)^2 \times 5^0\times \left(\dfrac{3}{4} \right)^{-1} = \left(\left(\dfrac{3}{4} }\right)^{\frac{1}{2} }\right)^2 \times 5^0\times \left(\dfrac{3}{4} \right)^{-1}\)

\(\left(\left(\dfrac{3}{4} }\right)^{\frac{1}{2} }\right)^2 \times 5^0\times \left(\dfrac{3}{4} \right)^{-1}= \left(\dfrac{3}{4} }\right)^{\frac{1}{2}\times 2 } \times 5^0\times \left(\dfrac{3}{4} \right)^{-1} = \dfrac{3}{4} \times 1\times \dfrac{4}{3} = 1\)

(ix) \(x^{1/3}\left(x^{1/3}-3\cdot x^{2/3}+ x^{-1/3}\right)\)

\(x^{1/3} \times x^{1/3}-x^{1/3} \times3\cdot x^{2/3}+ x^{1/3} \times x^{-1/3}\right) = \left(x^{2/3}-3\cdot x^{1}+ x^{0}\right)\)

\(\left(x^{2/3}-3\cdot x^{1}+ x^{0}\right) = x^{2/3}-3\cdot x\)

(x) \(\left(81\right)^{\frac{3}{4} }\times (81)^{\frac{-3}{4} } = \left(3^4\right)^{\frac{3}{4} }\times (3^4)^{\frac{-3}{4} } = 3^3\times 3^{-3}= 1\)

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Answer:

Step-by-step explanation:

The first cat eats 1/15 of a bag per minute.

The second cat eats 1/10 of a bag per minute.

Together, they eat 1/15 + 1/10 = 1/6 of a bag in one minute.

Hence both can eat \(\frac{2x+3y}{30}\)

when we form equations  out of given statements and then solve them to obtain answer are said word problems.

Given cat x can eat treat = 15 mints

cat x in 1 mint= x/15

given cat y can eat treat = 10 mints

cat y in 1 mint= y/10

hence both cats if eat together =\(\frac{x}{15} +\frac{y}{10}\)

=\(\frac{2x+3y}{30}\)

hence both can eat \(\frac{2x+3y}{30}\).

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No, because the numbers are arbitrary values between 1 and 6 and thus every roll has six (equally) possible outcomes.

What is probability in rolling a die?

A sample space is simply the collection of all potential outcomes. Simply put, you have to consider every scenario that could possibly occur. When you roll the dice, every conceivable throw will be your sample space. The likelihood of getting any side of the dice is 1/6 because there are six possible results. Rolling a 1 has a 1/6 chance of happening, a 2 has a 1/6 chance, and so on.

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1.644 gml⁻¹ is is the new volume of the water .

What is density, ?

density = mass/volume

     ρ  = 12.5/7.6

      ρ = 1.644 gml⁻¹

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a)  8 is even, the remainder when 3,678 is divided by 2 is 0.

b) The remainder when 3,678 is divided by 5 is 3.

c) The remainder when 3,678 is divided by 7 is 1.

d) 9 is a multiple of 9, the remainder when 3,678 is divided by 9 is 0.

To find the remainder of 3,678 when divided by a certain number, we can use modular arithmetic. In modular arithmetic, we take the remainder of a number when divided by a modulus.

(a) To find the remainder when 3,678 is divided by 2, we simply need to look at the last digit of 3,678, which is 8. Since 8 is even, the remainder when 3,678 is divided by 2 is 0.

(b) To find the remainder when 3,678 is divided by 5, we need to look at the last digit of 3,678 again, which is 8. We then check if 8 is a multiple of 5. Since it is not, we need to subtract the nearest multiple of 5 less than 8, which is 5. So we have 8 - 5 = 3. Therefore, the remainder when 3,678 is divided by 5 is 3.

(c) To find the remainder when 3,678 is divided by 7, we can use the fact that 10 is congruent to 3 modulo 7. This means that if we take the last digit of 3,678 and subtract three times the next-to-last digit, we will get a number that is congruent to 3,678 modulo 7. So we have:

8 - 3 × 7 = -13

Since -13 is negative, we add 7 to it to get:

-13 + 7 = -6

Since -6 is still negative, we add 7 to it again to get:

-6 + 7 = 1

(d) To find the remainder when 3,678 is divided by 9, we can again use the fact that 10 is congruent to 1 modulo 9. So we have:

8 + 7 - 6 = 9

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The area of the rectangle ABCD is 56 Unit².

What exactly is a rectangle?

A rectangle is a two-dimensional geometric shape that is characterized by having four sides and four right angles. It is a type of quadrilateral.

The opposite sides of a rectangle are parallel and equal in length, and the adjacent sides are perpendicular to each other. This means that the opposite sides of a rectangle have the same distance apart throughout their entire length. The area of a rectangle is given by the formula A = lw, where l = length and w= width.

Now,

As √AEB=60°, and Side AE is equal to EB

and also angles opposite to equal sides are equal.

Then, ΔAEB is a equilateral triangle.

so, AB=8

Now

area of rectangle=length*breadth

Length=8 and breadth=BC=7

Area=8*7

A=56 unit²

Hence,

              The area of the given rectangle ABCD is 56 Unit².

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Answer:

6  1/ 4  inches

Step-by-step explanation:

3/4 inch / 3 miles    *   25 miles =   6 1/4 inches

Answer:

-21°C

Explaination:

-7.5 - 5 - 8.5 = - 21

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Annie travels with 6 feet/s  speed with her bicycle.

However, let's assume that the diameter of the wheels on Annie's bicycle is "d" inches. Using the formula for circumference of a circle,

The distance travelled by one wheel in one revolution is given by:

C = πd feet

Therefore, distance travelled by two wheels in one revolution is given by:

2C = 2πd feet

In the given question, it is given that each wheel makes full revolutions every second. So, distance travelled by two wheels in one second is:

2πd × 1 = 2πd feet/s= 6.2832d feet/s

As per the given question, we need to round the answer to the nearest foot. So, we can use the rounding rules as follows. So, the final answer is given by:

Final answer = 6.2832d ≈ (6.2832d) feet/s (rounded to the nearest foot)

Therefore, the final answer is 6 feet/s (rounded to the nearest foot). Annie travels(speed) 6 feet/s with her bicycle.

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Answer:

37.5%

Step-by-step explanation:

The markup would be 37.5%. 80-50 = 30. If you set up the  

proportion, is/of = %/100, it would be 30/80 = %/100. Multiply  

30*100. = 3,000. Divide this by 80 and you get 37.5.

Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B.  17

Answer:

its 17. so B

Step-by-step explanation:

just did it

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

0.7 is the answer to your question

Answer:

0.7

Step-by-step explanation:

' Of ' almost always means multiplication, so the problem is 7% * 70.

This means 0.07 * 70 ( 7% = 0.07 ), and that is 0.7!

Hope this helped!