What is the approximate force of kinetic friction on a 50kg object sliding horizontally with a coefficient
of = 0.5
2. 5ON
b. 5OON
c. 25N
d. 250N

answer:

slope: -2/3

step-by-step explanation:

y=mx+b

m represents the slope, and b the y-intercept.

rearrange: 9x= -6y+18

---> -6y= -9x-18

divide all terms by -6.

-6y/-6= -9/-6x-18/-6

y= 3/2x+3 (slope/intercept form)

m= 3/2

---> 1/3/2= -2/3

To find the number of unique types of sneakers, we need to multiply the number of options for each characteristic:

Number of colors: 6

Number of styles: 4

Number of fabrics: 3

Total number of unique types of sneakers = 6 x 4 x 3 = 72

Therefore, the manufacturer makes 72 unique types of sneakers.

#SP11

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The final coordinates of the figure are: A" (30, 6), B" (46, 6) and C" (2x + 4, 2y + 6).

To complete the transformations and find the final coordinates of the figure, we'll apply two transformations: a translation and a dilation.

Translation: Given the vector <2,3>, we will translate each point by adding the corresponding components of the vector to their initial coordinates.

Let's assume the initial coordinates of points A, B, and C are:

A (13, 0)

B (21, 0)

C (x, y)

After the translation, the new coordinates will be:

A' (13 + 2, 0 + 3) = (15, 3)

B' (21 + 2, 0 + 3) = (23, 3)

C' (x + 2, y + 3) = (x + 2, y + 3)

Dilation: Given the scale factor K = 2, we will dilate each point by multiplying their coordinates by the scale factor.

After the dilation, the new coordinates will be:

A" (15 * 2, 3 * 2) = (30, 6)

B" (23 * 2, 3 * 2) = (46, 6)

C" ((x + 2) * 2, (y + 3) * 2) = (2x + 4, 2y + 6)

Please note that since the initial coordinates of point C were not provided, we cannot determine its final coordinates precisely without additional information. The coordinates of point C in the final figure depend on the values of x and y.

For more such questions on coordinates

https://brainly.com/question/31293074

#SPJ8

200 decreased by 30% is 140 for the given question.

What is percentage?

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". For example, 45% can be written as 0.45 or 45/100. Percentage is used to express how large or small one quantity is relative to another quantity. For example, if a student scores 45 out of 50 on a test, the student's score can be expressed as a percentage by dividing 45 by 50 and then multiplying by 100, which equals 90%.

Given data,

200

It decreased the price the price by 30%.

=30/100*200

=0.3*200

=60

= 200-60

=140.

Learn more about percentage here:

brainly.com/question/20593241

#SPJ1

Answer: -2

First divide the two numbers. 28 divided by (-7) is -4. Then, -4+2=-2. So, the answer to the problem is -2.

:)

Answer:

-2

Step-by-step

Where the function f is discontinuous  and continuous  is  mathematically given as

Generally, the equation for is  mathematically given as

Since x+1, 1/x, and (x-5), the function does not "break" since these three terms are continuous. at

According to the dictionary definition of continuity, the function f(x) is continuous at x = a if:

lim (x->a-) f(x) = lim (x->a+) f(x) = f(a).

for x = 0

lim (x->0-) f(x)

= lim (x->0-) (x+1),

since f(x) = x+1 for \(x \leq 1\)

f(x<=1) = 1 + 0

f(x<=1)= 1

lim (x->0+) f(x)= lim (x-->0+) ( √(x-5) ), since f(x)

lim (x->0+) f(x)= √(x-5 for x>=5

lim (x->0+) f(x)= 5

In conclusion,

Read more about discontinuous

https://brainly.com/question/12644479

#SPJ4

Complete Question

Find the numbers at which f is discontinuous. Then determine whether f is continuous from the right, from the left, or neither at each point of discontinuity.

f(x)={ x+1 if x< 1

1/x if 1<x<5

√(x-5) if x> 5

To prevent misunderstandings, it's crucial to pronounce each symbol and operation loudly when reading mathematical statements.

An expression, which is used to indicate a mathematical relationship or calculation, is a set of numbers, symbols, and operators. Variables are placeholders for unknowable values that can subsequently be replaced by known values and are a common component of expressions. For instance, "2x + 3" denotes a calculation that involves multiplying 2 by a variable x, adding 3, and then doing the addition. The calculation represented by the formula "3y - 7" involves multiplying 3 by a variable called y and then taking that number out. In addition, parentheses, exponents, and other mathematical operations can be used in expressions to define more complicated calculations.

given

A/b+2 can be understood as "A divided by b plus 2."

To prevent misunderstandings, it's crucial to pronounce each symbol and operation loudly when reading mathematical statements.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The points D, E, F are not collinear to points A, B, C and are coplanar. (Right choices: 6, 7, 8)

According to Euclidean geometry, three points are coplanar when they are not collinear. Three or more points are coplanar when they are contained by the same plane.

From this perspective, points A, B, C, D, E, F are coplanar, as they are contained by plane π, but points D, E, F are not collinear to points A, B, C, as they are outside the line contained by plane π.

To learn more on collinear and coplanar points: https://brainly.com/question/1593959

#SPJ1

Given :

Two triangle ∆ABC and ∆DEF are congruent.

m∠A=5x+12 and m∠D=8x.

To Find :

m∠A and m∠D.

Solution :

Since, both the triangle are congruent.

m∠A = m∠D

5x + 12 = 8x

3x = 12

x = 4

m∠A = 5(4) + 12 = 32°

m∠D = 8(4) = 32°

Therefore, value of m∠A and m∠D is 32°.

Using cosine ratio from trigonometric ratio concept, the value of x is 6√2 or approximately 8.5

Trigonometric ratios, also known as trigonometric functions, are mathematical functions that relate the angles of a right triangle to the ratios of its sides. There are six main trigonometric ratios: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

In this problem, we have the hypothenuse side and the adjacent side, we can use cosine ratio to find the value of x.

cos θ = adjacent / hypothenuse

cos 45 = 6 / x

x = 6 / cos 45

x = 6√2

x = 8.45 ≈ 8.5

Learn more on trigonometric ratio here;

https://brainly.com/question/17155803

#SPJ1

The best estimate for the volume of the pyramid is 1386.67 cubic units.

To calculate the volume of a pyramid, we use the formula V = (1/3) * B * h, where B is the area of the base and h is the height of the pyramid. In this case, we are given that the base of the pyramid is a rectangle with dimensions 15 units by 20 units, so the area of the base is B = 15 * 20 = 300 square units. We are also given that the height of the pyramid is 14 units. Therefore, the volume of the pyramid is V = (1/3) * 300 * 14 = 1400 cubic units. However, since this is an estimate, we should round our answer to a reasonable number of decimal places. In this case, we can round to two decimal places to get a final answer of 1386.67 cubic units. This estimate gives us a good approximation of the volume of the pyramid based on the information provided.

Learn more about volume here

https://brainly.com/question/27710307

#SPJ11

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

1. Yearly total dividends paid are $151,250.

2. The dividends per share are $1.25 for common stockholders

3.  The dividends per share are $4 for preferred stockholders.

We must calculate amount of dividends paid to the preferred stockholders in order to get dividends per share for common and preferred stockholders.

The per dividends paid to the preferred stockholders is:

= $50 par value x 8% guaranteed rate of return

= $4 per share

The total dividends paid to preferred stockholders:

=  $4 per share x 5,000 shares

= $20,000

The per dividends paid to those stockholder is calculated as:

= Common stock + Preferred stock

= $1.25 per share + $4 per share

= $5.25 per share

The total dividends paid to common stockholders:

= $5.25 per share x 25,000 shares

= $131,250.

Read more about dividends

brainly.com/question/2960815

#SPJ4

Answer:

Just find the area of each of them

Step-by-step explanation:

The equivalent expression in standard form is 10x + 2y. The given expression is:- 5x - 2(x - 3y) + 1/2(14x - 8y). By using distributive law, we have written equivalent expressions in standard form.

Hence,

= 5x - 2(x - 3y) + 1/2(14x - 8y)

= 5x - 2x + 6y + 7x - 4y

= (5x - 2x + 7x) + (6y - 4y)

= 10x + 2y.

Now, the equivalent expression is 10x + 2y. We got this by combining like terms of the given expression.

As stated above, the given expression is :

5x - 2(x - 3y) + 1/2(14x - 8y)

To get the equivalent expression in standard form, we must first simplify the terms inside the brackets.

= 5x - 2(x - 3y)

= 5x - 2x + 6y

= 3x + 6y.

Then, we must distribute the term 1/2 into the bracket on the right :

1/2(14x - 8y) = 7x - 4y

Now, our given expression can be written as:

5x - 2(x - 3y) + 1/2(14x - 8y)

= 3x + 6y + 7x - 4y.

Now we must combine like terms :

3x + 7x = 10x, 6y - 4y = 2y.

So, our final equivalent expression is 10x + 2y.

Therefore, we got the equivalent expression in standard form by simplifying the terms inside the brackets, distributing the term 1/2 into the bracket on the right, and then combining the like terms. The equivalent expression in standard form is 10x + 2y.

To know more about distributive law, the visit:

brainly.com/question/17341788

#SPJ11

D & F

Step-by-step explanation:

D scale because all sides are different lengths

F obtuse because one angle is greater than 90 degrees

Look up definition of the other properties and you will see they don't apply

The given triangle is a obtuse and scalene triangle

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle is an obtuse triangle and scalene triangle.

A triangle whose any one of the angles is an obtuse angle or more than 90° is known as obtuse triangle.

A triangle in which all the three sides have different lengths then it is called as scalene triangle.

Hence, the given triangle is a obtuse and scalene triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ5

Answer:

$ 100 + $ 60 y

Step-by-step explanation:

The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.

Let the total number of fillings is y.

The total cost of fillings = $ 60 x y =  $ 60 y

The total cost of the treatment = $ 100 + $ 60 y

The height of the wall where the ladder reaches will be 23.6 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.

The height of the wall where the ladder reaches is given as,

\(\text{sin 80}^\circ \sf =\dfrac{h}{24}\)

\(\sf h = 24 \times \text{sin 80}^\circ\)

\(\sf = 24 \times \text{0.9848}\)

\(\sf h = 23.63\thickapprox\bold{23.6 \ feet}\)

The height of the wall where the ladder reaches will be 23.6 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/26471428

Answer:

168 miles total

Step-by-step explanation:

42 miles x 4 hours = 168

Answer:

168 miles in 4 hours

Step-by-step explanation:

42x4=168, meaning that in 4 hours, the car travels at a constant speed of 42mph and travels a total of 168 miles in 4 hours

Women who have experienced pelvic inflammatory disease (PID), even if treated successfully, may have long-term health problems. These health problems can include various complications and consequences related to reproductive health and overall well-being.

PID is an infection of the female reproductive organs, typically caused by sexually transmitted infections such as chlamydia or gonorrhea. If left untreated or inadequately treated, PID can lead to serious complications. Even with successful treatment, some women may experience long-term effects

Some of the potential long-term health problems associated with PID include: Chronic pelvic pain: PID can cause inflammation and scarring in the pelvic organs, leading to ongoing pain in the lower abdomen or pelvis. Infertility: The scarring and damage caused by PID can obstruct or damage the fallopian tubes, making it difficult for an egg to travel from the ovary to the uterus, resulting in infertility.

Learn more about term here:

https://brainly.com/question/15380268

#SPJ11

Answer: x= 15

Step-by-step explanation:

Answer:

x = 7.2

Step-by-step explanation:

\(5(x - 3) = 21\)

\(x - 3 = 4.2\)

\(x = 7.2\)

Answer:

y=-\(\frac{1}{9}\)x+\(\frac{5}{3}\)

Step-by-step explanation:

The correct way to write a confidence interval is an option [LU]

A confidence interval is typically written as [lower bound, upper bound], where the square brackets indicate that the bounds are included in the interval.

For example, a 95% confidence interval for a population mean might be written as [15.2, 20.8]. This means that we are 95% confident that the true population mean lies between 15.2 and 20.8.

In the answer choices, option (O [LU]) is the correct way to write a confidence interval because it follows this convention of using square brackets to indicate the inclusion of the bounds.

Option (O [LU)) uses a parenthesis for the upper bound, which could be confusing since parentheses typically indicate exclusion.

Options (O (UL)) and (O (UL)) switch the order of the bounds, which would be incorrect since the lower bound should come first.

The other options either use parentheses instead of brackets or reverse the order of the bounds, which are both incorrect.

Therefore,

The correct way to write a confidence interval is an option [LU]

Learn more at Confidence intervals at

https://brainly.com/question/24131141

#SPJ4

If the man moves 1 inch from the radioactive source, his exposure would increase.

When the man is located at a distance of 1.5 meters from the radioactive source, the exposure rate is measured to be 1.2 mR/hour. This means that he receives a dose of 1.2 millirem (mR) of radiation per hour at that distance. However, if he moves closer to the source, specifically 1 inch away, his exposure would increase.

Radiation intensity follows the inverse square law, which states that the intensity of radiation is inversely proportional to the square of the distance from the source. In this case, moving 1 inch closer to the source would decrease the distance significantly. To calculate the new exposure rate, we need to determine the new distance.

Converting 1 inch to meters, we have:

1 inch = 0.0254 meters

To apply the inverse square law, we square the ratio of the initial and final distances:

(1.5 meters / 0.0254 meters)² = 1406.25

This value represents the increase in exposure rate when the man moves 1 inch closer to the radioactive source. Therefore, his new exposure rate would be approximately 1406.25 times higher than the initial rate of 1.2 mR/hour.

In summary, if the man moves 1 inch from the radioactive source, his exposure would significantly increase due to the inverse square law of radiation. The new exposure rate can be estimated to be approximately 1406.25 mR/hour.

Learn more about Radioactive source

brainly.com/question/10074550

#SPJ11

Answer:

Option C

Step-by-step explanation:

By the property of a parallelogram,

"Opposite angles of a parallelogram are equal in measure"

m∠L = m∠N

Since, m∠L = 106°

Therefore, m∠N = 106°.

Option C will be the correct option.

We must first calculate the area of a single tile in order to figure how many floor tiles are required to cover a space that is 1080 square meters.

Since the area of a parallelogram is equal to its base times its height, the tile's area is 24 x 10 cm, or 240 \(cm^{2}\).

Since one square meter equals 10,000 square centimeters, we divide by 10,000 to convert this area to square meters: 240 \(cm^{2}\) / 10,000 = 0.024 c\(m^{2}\)

Thus, a single tile has a surface area of 0.024 square meters.

We divide a room's 1080 square meters by a tile's area to determine how many tiles are required to completely cover the space:

1080 \(m^{2}\) / 0.024 \(m^{2}\)= 45,000

 Therefore ,45,000 floor tiles would be required to cover a space that is 1080 square meters in size.

To know more about parallelogram at :

brainly.com/question/1563728

#SPJ4