If you are buying at item at a store for a price of $72, and there is a 6.2% tax added on top, what would be the total amount due at the register, to the nearest cent?​

Answer:

AB = 42.30 m

Step-by-step explanation:

What we are asked to do is to simply find the length of AB.

Since both triangles are similar, therefore their corresponding sides would be proportional to each other.

Thus:

92/82.8 = 47/AB

Cross multiply

92*AB = 82.8*47

92*AB = 3,891.6

AB = 3,891.6/92

AB = 42.30 m(nearest hundredth)

The probability that a red card is drawn at least once by the third draw is 0.88.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.

In a standard 52 card deck the red cards are 26.

So,

P(red) =  n(red cards) / n(total cards)

          = 26 / 52

P(red) = 0.50

Now, X ≈ Bin (n = 3, P = 0.50)

P(X = x) = (n  x) p^x (1 - p)^n-x

(n  x) = \(\frac{n!}{x!(n-x)!}\)

P(X ≥ 1) = 1 - P(X < 1)

            = 1 - P(X = 0)

            = 1- (3  0)(0.5)^0(0.5)^3

            = 1 - 0.125

             = 0.875

P(X ≥ 1)  = 0.88

Hence, the probability that a red card is drawn at least once by the third draw is 0.88.

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A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns. A rectangle is a two-dimensional shape that has four sides and four angles, all of which are right angles, and two pairs of opposite sides which are parallel.

In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied. The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units. This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'. Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis. This will result in the length of side K'L' being 6 units. Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2). Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

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Answer:

ABE is 115.5 and DBE is 25.5

Step-by-step explanation:

90 is right angle

90 - 64.5 = 25.5 <----- its DBE

90 + 25.5 = 115.5 <----- its ABE

hope i helped

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

sin( 3pi/4 ) = -√2/2

So, B.

The " Eight  further than the Quotient of a number and 7 is equal to 3," and the  result to the equation is x = -35.

The equation 8( x/ 7) =  3 represents the  judgment " Eight  further than the Quotient of a number and 7 is equal to 3," and the  result to the equation is x = -35.    

" Eight  further than" implies addition, so we've 8 " The quotient of a number and 7" means dividing a number by 7, so we've x/ 7 " is equal to" means that the expression on the left side is equal to the expression on the right side, so we've =  " 3" is the value to which the expression on the left side is equal, so we've 3  Putting it all together the  judgment " Eight  further than the quotient of a number and 7 is equal to 3" can be  restated into the equation ( x/ 7) =  3  

In this equation, x represents the number we're trying to find. To  break for x, we can manipulate the equation using algebraic operations to  insulate x on one side of the equation.  By abating 8 from both sides of the equation, we get ( x/ 7)- 8 =  3- 8  Simplifying, we have  x/ 7 = -5

To  insulate x, we can multiply both sides of the equation by 7  *( x/ 7) = -5 * 7  This gives us  x = -35  thus, the equation 8( x/ 7) =  3 represents the  judgment " Eight  further than the quotient of a number and 7 is equal to 3," and the  result to the equation is x = -35.

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Answer:

2/3x

Step-by-step explanation:

\(f(t) = (t-s)² - q 9

(4-5)² = 9 = 0

(t - 5) ^ 2 = 9

t - 5 = 3or 4-5=-3

(x + 2)(x + 4) = 0

X+26

t=8 or t= 2

f(x) = (x + 2)(x + 4)

vertex: (5,-9) # 1rt = 5

Zeros

y = f(+)

vertex

• line of symmetry\)

Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:

It is the value of the function when the input is of zero, that is, f(0). An intercept of a rational function is a point where the graph of the rational function intersects the x- or y-axis.

here, we have,

For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:

f(x) = -2(x - 8)² -> f(0) = -128.

h(x) = -5|x| + 10 -> f(0) = 10 -> Greater than g(x).

j(x) = -4(x + 2)² + 8 = f(0) = -8.

k(x) = 0.25(x - 4)² + 4 -> f(0) = 8 -> Greater than g(x).

m(x) = 0.25|x - 8| + 6 -> f(0) = 8 -> Greater than g(x).

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Answer:

The answer is C

Step-by-step explanation:

Its correct

The answer is Cl = (21.20%, 28.80%)

The correct answer is option C.

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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The given function is

The number 50 represents the ratio of change, specifically, $50 per month.

On the other hand, the number 100 is the independent term, which refers to the initial condition, that is, the initial amount of money is $100.

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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Answer:

14.4 kN

Step-by-step explanation:

cantilever balcony 2m wide 0.2m deep and 1.5m length.

= 2 x 0.2 x 1.5

= 0.6 m³

weight of the balcony

= 0.6 x 24

= 14.4 kN.

therefore the max shear 14.4 kN and is acting at support.

Answer:

  9

Step-by-step explanation:

The product of the secant lengths BC and BD is equal to the square of the tangent length BA.

  BC×BD = BA²

  3×(3 +x) = 6²

  3 +x = 12 . . . . . divide by 3

  x = 9 . . . . . . subtract 3

_____

Additional comment

Sometimes the relationships involving secants, tangents, and chords can be difficult to remember. There is basically one rule that applies to all of these geometries:

  the product of segment lengths to the circle from the point of intersection of the secants/tangents/chords is the same

A tangent can be thought of as a secant that has a length of 0 between its end points. That is, the two lengths from the point of intersection to the circle are the same.

Here is an example of this rule applied to chords:

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Answer:

To find the average (also known as the arithmetic mean) of the data values, we need to divide the sum of the values by the number of values. We are given the sum of 12 data values, which is 942. So:

Average = Sum of values / Number of values

Average = 942 / 12

We can simplify this by dividing both the numerator and denominator by their greatest common factor, which is 6:

Average = (942 ÷ 6) / (12 ÷ 6)

Average = 157 / 2

Average = 78.5

Therefore, the average of the 12 data values is 78.5.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Solve Absolute Value.

|6x + 3| = 15

We know either 6x + 3 =15 or 6x + 3 = −15

================================================================

6x + 3 = 15 (Possibility 1)

6x + 3 - 3 = 15 − 3 (Subtract 3 from both sides)

6x = 12

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{12}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = 2

=================================================================

6x + 3 = −15 (Possibility 2)

6x + 3 - 3 = -15 - 3 (Subtract 3 from both sides)

6x = -18

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{-18}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = -3

Therefore, the answer is x = 2 or x = −3. The correct option is alternative "D".

Answer:

Hi mate

The right angled triangle is the best name for it

Because it has an right angle or 90 degree angke

Step-by-step explanation:

Answer:

x=33.5

Step-by-step explanation:Sorry I only know the answer

Precipitation:

Precipitation is condensed water vapor that falls back to earth.

Examples: Rain, Snow, Hail, Sleet

Evaporation:

The process of a liquid changing into gas due to an increase of tempurature or pressure.

Transpiration:

Plants absorb water through their roots and then give off water vapor through their leaves.

Accumulation:

Water collects in rivers, lakes, oceans, and other bodies of water or as ice caps or glaciers.

Infiltration:

Water soaks into the soil (not sure abt this one) from the ground level and moves into rocks through cracks and pores.

Surface run off:

Precipitation that reaches the Earths surface, flows over land, and reaches lakes, rivers, and oceans

Condensation:

The process of a gas changing into a liquid due to a decrease in temperature or pressure.

Sublimation:

The process of snow and ice changing into water vapor without first melting into water

Answer:

The answer is 5x-2

Step-by-step explanation:

3x-(2-2x)

3x-2+2x

5x-2

Answer:

y = 1/2

Step-by-step explanation:

I hope this helps you with the question

Answer:

for what? do you need a question answered?

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?