Interest rate fixed at 6%, n = 26 payments per year, for payment
amounts of $50, $100, $150, $200 (4 separate sheets-1 for each payment amount)

Answer:

\(0.33\)

Step-by-step explanation:

There are 6 sides on dice, therefore the sample space would be 6 (the sample space is the denominator). We were asked to find the probability of getting a 1 or a 6. Since we were given 2 options 1 or 6, it therefore means that we are trying to find the probability of the dice rolling on 2 out of the 6 sides it has. Therefore the probability would be:

\( \frac{2}{6} \: or \: \frac{1}{3} \)

A third as a decimal is

\(0.33\)

The slope is 1/2.

If you pick two points and count the rise over run (see picture below), you might get 1/2 or 2/4 or 3/6.  But 3/6 and 2/4 reduce down to 1/2.

Answer:

La identificación de la intención del mensaje o del texto leído no es otra cosa que la interpretación del mismo. Es decir, a través de la lectura y la identificación de las diferentes variables comunicativas, el lector realiza un análisis del contenido del texto y lo interpreta, buscando dilucidar la intención que el redactor tuvo al momento de escribir el mensaje o texto en cuestión. La interpretación de textos es fundamental para poder comprender lo que se encuentra redactado, es decir, para poder lograr una total comprensión del texto.

Answer:

√30-2√5m

Step-by-step explanation:

You can start by figuring out the side length of a cube with the respective surface areas.

Given the equation S=√SA/6, you can start with the 180m^2 cube, and plug the values in.

S=√180/6

S=√30

Next, you can do the same thing with the 120m^2 cube.

S=√120/6

S=√20

S=√4*5

S=2√5

In order to find how much longer the first cube is, you should subtract the side length of the second cube from the first.

You should get: √30-2√5m

Hence, the correct answer is B.

Answer:

b

Step-by-step explanation:

cause math

The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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Answer:

No, the difference is -2.

Step-by-step explanation:

As the sequence progresses, the numbers get smaller(1, -1, -3, ...), and they get smaller by 2. Hence, the change in every number in the sequence as it progresses is -2.

Step-by-step explanation:

the two A's in the buttom is correct

Answer:132 combinations

Step-by-step explanation:

Hi student, let me help you out!

.........................................................................................................................

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

First of all, let the number be z.

Now, since the question says "4 times a number", we should multiply 4 times the number z: \(\mathsf{4z}\).

Now, this little expression equals 84 less than 6 times the number (which is z). The phrase "84 less than" tells us to subtract 84 from 6 times z: \(\mathsf{6z-84}\).

Put this together and obtain ✨ \(\bigstar\underline{\boxed{\mathrm{4z=6z-84}}}\).

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

Now let's solve the equation for z by following several steps, which are:

Step 1. Subtract 6z from both sides: \(\mathsf{4z-6z=6z-6z-84}\).

Upon simplifying, we obtain \(\mathsf{-2z=-84}\)

Step 2. Solve for z by dividing both sides by -2: \(\mathsf{-2z\div(-2)=-84\div(-2)}\).

Upon simplifying, we obtain ✨ \(\bigstar\underline{\boxed{\mathrm{z=42}}}\).

Hope this helped you out, ask in comments if any queries arise.

\(\overline{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~}}\)

The number which is Four times a number is 84 less than 6 times the number will be 42.

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and treat the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let the number be x

Four times = 4x

84 less than  6 times the number = 6x - 84

Both are equal according to the question

4x = 6x - 84

4x - 6x = -84

-2x = - 84

x = 84/2  = 42 hence, that number will be 42.

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Answer: 28 in.

Step-by-step explanation:

The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.

P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.

Answer:

B

Step-by-step explanation:

edge 2021

Answer:

Parallelogram

Step-by-step explanation:

Observation 1:

the sides do not have the same measure √53≠√68 so is NOT a square and NOT a rhombus

Observation 2:

the opposite sides are congruent

AB=CD=√53, and  BC=DA=√68

Observation 3:

lines that have the same slope are parallel so opposite sides are also parallel

slope of AB =slope of CD =-2/7, and slope of BC=slope of DA=8/2

so we have 2 pair of sides congruent and parallel but to decide if is a parallelogram or rectangle we need to see if the adjacent sides form 90° or not

Observation 4:

lines that are perpendicular form 90° and their slope is negative reciprocal.

AB slope =-2/7 and slope of BC =8/2 so are NOT perendicular therefore is a parallelogram

Answer:

where do you live

Step-by-step explanation:

x=4

Step-by-step explanation:

4x=16y

x=16divide4

x=4

Answer:

y = 4x

Step-by-step explanation:

Take a pair of coordinates, like

(8,32) ; (4,16)

m = (Δy):(Δx)

   = (32-16) : (8 - 4) = 4

y = mx + c

  = 4x +c

Now substitute the values from one of the 2 coordinates' pair.

16 = 16 + c

c = 0

Therefore,

y = 4x

The length of y to the nearest inch is 4 inches.

Length is a measure of distance. It is the linear dimension of an object, the longest side of an object, or the measurement of something from end to end. Length can be measured in many different units, including feet, yards, meters, miles, centimeters, and millimeters. Length is a fundamental concept in mathematics and science and is used to calculate the area, volume, and speed of an object.

Using the trigonometric law of sines, we can find the length of y: y = x*sin(θ) 5 1/12 feet = 5sin(37∘) ≈ 4.14 inches. Therefore, the length of y to the nearest inch is 4 inches.

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Answer:

Step-by-step explanation:

The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

the breadth of the river is \(20\sqrt{3} m\) or 34.614 m

as per given in the question ,

the length of the tower (l) = 20m

the angle of elevation of the top of the tower from the opposite bank

\(\theta\) = \(30^{0}\)

the breadth of the river should be found

let the breadth of the river be x,

to find breadth,

\(tan\theta=\frac{opposite\ side}{adjacent\ side}\)                        ----(1)

the opposite side will be the length of the pole i.e, 20m

the adjacent side will be the breadth of the river i.e, x

now substitute all the values in equation (1)

\(tan\theta=\frac{20}{x}\)

=> \(tan 30^0= \frac{20}{x}\)             ( the value of \(tan30^0 =\frac{1}{\sqrt{3} }\) )

=> \(\frac{1}{\sqrt{3} } =\frac{20}{x}\)

=> \(x=20\sqrt{3}m\)

so,  

     the breadth of the river is \(20\sqrt{3} m\) or we can write 34.614m

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Answer:

this will probably help

Step-by-step explanation:

Answer:

\( x = 11\\ y = {11}^{2} + 11 = 121 + 11 = 132\)

Answer:

A.

The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.

Answer:

-34 -7a

Step-by-step explanation:

–34–23a+16a

Combine like terms

-34 -7a

Hi

-34 -23a+16a  

as you can only add by catégories of factors :

-34 -7a  

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Answer:

100

Step-by-step explanation:

Step-by-step explanation:

Half of 40 is 20 and luckily they already gave us how much she would earn if she worked 20 hours.

So all we have to do is multiply the amount of money she earned when she worked 20 hours by 2 to see how much she earned when she worked 40 hours.

20 hours:165 dollars or 20:165

20 x 2= 40 and 165x2=330

So if Monique worked 40 hours she would earn $330.

Answer:

x=\(\frac{5}{2}\)

Step-by-step explanation:

cross multiply

8x=20

divide both sides by 8

x=\(\frac{5}{2}\)

Answer:

Step-by-step explanation:

Multiply both sides by 20

x = 20 * 1/8

x = 2 4/8

x  = 2.5

Answer:

7x

Step-by-step explanation:

To obtain the slope of the tangent line to f(x) at x=2, we need to find f'(x) as shown below

Then, the slope of the tangent line we are looking for is

Remember that the slope of a line can be interpreted as shown below

Therefore, we can estimate the value of f(x) using the slope and f(2).

a) x=2.4

And the estimation using f(2) and f'(2) is

Then, the exact value at x=2.4 is f(2.4)=3.96, and the approximated value is 3.8

We need to repeat these steps with the remaining options.

b) x=2.5

c) x=2.6

d) x=2.7

Then, the answer is option d. x=2.7

e) x=2.8

Answer:

0.333...

Step-by-step explanation:

6×8=48

48÷9=5.333...

(The ... means repeating)