Write an expression for the perimeter of the triangle shown below:

The answer choices are:
6.9x − 16
6.9x + 16
0.1x − 16
0.1x + 16

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

Ok, the speed is 18 mph.

The angle is 293°, and we usually measure the angles from the x-axis, so we can write our coordinates of velocity as:

Vx = 18mph*cos(293°) = 7mph.

Vy = 18mph*sin(293°) = -16.6mph.

Then we can write this as a vector (Vx, Vy)

Velocity = (7mph, -16.6mph)

Now, for the position, we can integrate over time, and using that the position (0,  0) is the starting point of the ship, we have that the position vector is:

P(t) = (7mph*t, -16,6mph*t)

Where t is the number of hours after the ship leaved the port.

If t = 0 is 0:00pm, then at 3:30pm we have t = 3 hours and 30 minutes

one hour has 60 minutes, then 30 minutes is equivalent to 0.5 hours.

Then 3:30pm we have t = 3.5 houes.

Now we replace this in the position vector and the location of the ship at 3:30pm is:

P(3.5h) = (7mph*3.5h, -16.6mph*3.5h) = (24.5 mi, -58.1 mi)

Where the first component describes the displacement in the x-axis, and the second component describes the displacement in the y-axis.

Answer: 1) -58  2) 24.6  3) 24.6  4) north  5) 58  6) west

Step-by-step explanation: I took the test.

Answer:

Conclusion : it lives in the water

Step-by-step explanation:

Concept :The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion.

therefore, for the given statement,

the 'then' part is 'it lives in the water'

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C. It is not in the same units as the original data is a disadvantage of the range as a measure of dispersion.

The range is a measure of dispersion that calculates the difference between the maximum and minimum values in a dataset. While the range is a simple and easy-to-calculate measure, it has some limitations. One significant disadvantage of the range is that it does not consider the values in between the maximum and minimum values. This means that two datasets with the same range can have very different distributions.

Another disadvantage of the range is that it is affected by extreme values or outliers in the dataset. If there are extreme values in the dataset, they can cause the range to be overestimated and can distort the measure of dispersion. This can make it difficult to interpret the range as a measure of variability.

Additionally, the range is not in the same units as the original data. This can make it challenging to compare the range across different datasets that have different units of measurement. For example, the range of a dataset measured in kilograms cannot be compared directly to the range of a dataset measured in meters.

Therefore, the disadvantage of the range as a measure of dispersion is that it is not in the same units as the original data.

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Answer:

Sally has been measuring the tree for 4 months

Step-by-step explanation:

The correct question is as follows;

Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?

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

Solution;

The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.

We now need to know the number of months in which the measuring has been taking place.

To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch

So mathematically, that would be 2/1/2 = 2 * 2 = 4 months

To find an exponential regression equation for the given set of data, we need to express it in the form of y = ab^x, where a represents the initial value of the car and b represents the growth or decay factor.

Using the provided data, we can form the following table:

Years (x) Value in dollars (y)

0 15600

1 14254

2 12189

3 10822

4 9618

5 7994

6 6686

To find the exponential regression equation, we can use statistical software or calculators that provide regression analysis. Using these tools, we can obtain an equation in the form of y = ab^x. Let's assume the equation is:  y = 15600 * (0.91)^x

Rounding the coefficient to the nearest hundredth, we get: y = 15600 * (0.91)^x

To determine the value of the car after 15 years, we substitute x = 15 into the equation: y = 15600 * (0.91)^15

Evaluating the expression gives us the value of the car after 15 years.

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The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:

  140

Step-by-step explanation:

When working HCF and LCM problems, I like to think in terms of this little diagram:

  (a [ b ) c]

It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.

__

Here, we're given ...

  b = 20

  ab = 320

  abc = 2240

Then ...

  c = abc/(ab) = 2240/320 = 7

  x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320

  x = 140

Answer:

Professional basketball player, Joe Johnson, is 6 feet 7 inches tall. There are 2.54 centimeters in 1 inch.

Step-by-step explanation:

and this is not a fast response. THIS WAS ASKED IN 2020 11  it is 2021.

Answer:

they are integers

Step-by-step explanation:

Answer: soooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:yw

Answer:

-2x^6+2x^4+3x^3-9x^2-5x+4

F=---------------------------

x

Step-by-step explanation:

The numbers : 4,-10 and -4 are integers.

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero.

The Latin word "integer" signifies "whole" or "intact." Thus, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

"Negative 1 and one-third" includes a fractional part, so it is not an integer.

"2.5" and "0.ModifyingAbove 13 with Bar" contain a decimal, so it is also not an integer.

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Answer:

Multiply/divide both sides by the same non-zero constant.

yes.

Step-by-step explanation:

Equation A can be transformed into equation B by performing the distributive law operation.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Determining equation B from equation A

Given the equation A

⇒ 3(x + 2) = 18

Apply distributive law

⇒ 3x + 6 = 18

which is equation B

Hence, equation A can be transformed into equation B by performing the distributive law operation.

Determining equation A from equation B

Given the equation B

⇒ 3x + 6 = 18

Factor out common term 3 on the left-hand side of the equation

⇒ 3(x + 2) = 18

which is the equation A

Hence, equation B can be transformed into equation A by Factor out common term 3 on the left-hand side of the equation.

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Answer:

85/2 or 42.5 ft²

Step-by-step explanation:

A = l x w

A = 7.5 (5 2/3)

= 15/2 (17/3)

= 255/6

= 85/2 ft² or 42.5 ft²

Answer:

Step-by-step explanation:

The inverse of a biconditional statement is not equivalent to the original statement. The inverse statement may have a different meaning or convey a different condition.

The inverse of a biconditional statement involves negating both the "if" and the "only if" parts of the statement. In this case, the inverse of the biconditional statement would be:Inverse of Statement 1: A figure is not a polygon if and only if not all of its sides are line segments.

Now, let's analyze the relationship between Statement 2 and its inverse.

Statement 2: A figure is not a polygon if and only if not all of its sides are line segments.

Inverse of Statement 2: A figure is not a polygon if and only if all of its sides are line segments.

The inverse of Statement 2 is not equivalent to Statement 1. In fact, the inverse of Statement 2 is a different statement altogether. It states that a figure is not a polygon if and only if all of its sides are line segments. This means that if all of the sides of a figure are line segments, then it is not considered a polygon.

In contrast, Statement 1 states that a figure is a polygon if and only if all of its sides are line segments. It affirms the condition for a figure to be considered a polygon, stating that if all of its sides are line segments, then it is indeed a polygon.

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Answer:

gotcha

Step-by-step explanation:

S=ut+1/2at^2 so u= 10/a=-2/t=1/2=0.5

S= 10×0.5+0.5×(-2) 0.5^2

therefore S= 5-0.25=4.75unit length

if u understood it then can u give me brainliest

The radial distances from the center (-3, -2), to the points on the circumference (0, -6), and (a, 0), found using the distance formula, indicates that a = -3 ± √21

The distance between points (x₁, y₁), and (x₂, y₂), on the coordinate plane, can be found using the formula; d = √((x₂ - x₁)² + (y₂ - y₁)²).

The coordinates of the center of the circle = (-3, -2)

The coordinates of the locations (on the circumference of the circle), through which the circle passes = (0, -6) and (a, 0)

Therefore the distances between points (0, -6) and (-3, -2) and (a, 0) and (-3, -2) are the same;

The distance from (0, -6) to (-3, -2) = The distance from (a, 0) to (-3, -2)

(-3 - 0)² + (-2 - (-6))² = (-3 - a)² + (-2 - 0)²

25 = a² + 6·a + 9 + 4 = a² + 6·a + 13

a² + 6·a + 13 = 25 (symmetric property)

a² + 6·a + 13 - 25 = 0

a² + 6·a - 12 = 0

a = (-6 ± √(6² - 4×1×(-12)))/(2×1) = (-6 ± √(84))/2

a = (-3 ± √(21))

a ≈ 1.58 and a ≈ -7.58

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Answer:

Step-by-step explanation:

18y + 36 - 60y + 80

116 - 42y

Answer:

-42y+116

Step-by-step explanation:

Expand:

-6(-3y-6)-10(6y-8)

Simplify:

18y+36-60y+80

Answer:

40%

Step-by-step explanation:

20-15 = 5, 2 students passed and did the assignment, 0.4 = 40%

Answer: D) 14.3%

Step-by-step explanation:

Conditional probability formula:

\(P(B |\text{given that A}) =\dfrac{P(A\ and\ B)}{P(A)}\)

So, The probability he or she was dissatisfied, given that he or she had hip surgery = \(\dfrac{\text{Number of persons are dissatisfied and has hip surgery}}{\text{Total persons have hip surgery}}\)

From the table, the number of persons who are dissatisfied and has hip surgery = 15

Total persons have hip surgery = 105

Required probability = \(\dfrac{15}{105}\approx0.143\)

In percent, Required probability = 14.3%

Correct option D) 14.3%

Answer:

pretty sure its b.

hope this helps!

Answer:

i think its none of the above

Step-by-step explanation:

because it can't be vertical since they need to be on opposite sides

it's not complementary because it doesn't equal to 90

it can't be supplementary because line D is not straight

so that's why i think it's none of the above

Answer:

first 145 mile 7mph

next 190miles 2mph

Step-by-step explanation:

total distance to be covered = 145+190=335miles

time = distance/speed

first 145 miles

time = 145/60 =2.41hr

next 190 miles

time = 190/65 = 2.92hr

Total time = 2.41+2.92 = 5.33hr

but we need to cover the entire distance in 5hr

Speed = distance /time

           =  335/5 = 67mph

That means in first 145 mile the speed over the speed limit will be 67-60= 7mph

similarly in the next 190miles speed over speed limit will be 65 - 67 = 2mph.

To measure the circumference of a circle, you need to use the formula C = 2πr, where C represents the circumference, π is a mathematical constant approximately equal to 3.14, and r represents the radius of the circle. So the long answer to your question would be that the amount to measure the circumference depends on the radius of the circle. You would need to measure the radius of the circle using a ruler or measuring tape, then multiply that value by 2π to get the circumference. It's important to ensure that you are measuring the radius from the center of the circle to the edge, and not from one side to the other. Once you have the circumference, you can use that measurement to calculate other values, such as the diameter or area of the circle.
To measure the circumference of a circle, you can use the following formula:
Circumference (C) = 2 × π × radius (r)
Here, π (pi) is a mathematical constant approximately equal to 3.14159, and the radius (r) is the distance from the center of the circle to its edge. To calculate the circumference, simply measure the radius and plug it into the formula. Remember to include the appropriate units (e.g., inches, centimeters) for your measurements.

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The given differential equation is y" + 4y' + 4y = 0, which is a homogeneous linear differential equation of second order.

For the particular equation y" - 4y' + 4y = 4t^2, we can use the method of undetermined coefficients.

Assuming the particular solution is a polynomial of degree 2, we let y = at^2 + bt + c.

By substituting y and its derivatives into the differential equation and solving for the coefficients a, b, and c, we find a particular solution.

The general solution of the homogeneous equation is y = (c1 + c2t)e^(-2t), which does not contain terms of degree 2.

Thus, we assume the particular solution is of the form y = at^2 + bt + c.

After substituting the derivatives of y into the differential equation and simplifying, we equate the coefficients of the corresponding powers of t.

Solving the resulting equations, we find a = 1/3, b = 2/3, and c = 1/3. Therefore, a particular solution of the differential equation is y = t^2 + 1/3 t^4.

The general solution of the differential equation is the sum of the homogeneous solution and the particular solution:

y = (c1 + c2t)e^(-2t) + t^2 + 1/3 t^4.

The interval of existence is (-∞, ∞).

Let me know if you need further clarification.

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Answer:

Simplifying

6x + -2y = 12

Solving

6x + -2y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2y' to each side of the equation.

6x + -2y + 2y = 12 + 2y

Combine like terms: -2y + 2y = 0

6x + 0 = 12 + 2y

6x = 12 + 2y

Divide each side by '6'.

x = 2 + 0.3333333333y

Simplifying

x = 2 + 0.3333333333y

Step-by-step explanation:

Answer:

2x+13

Step-by-step explanation:

A random number will be x.

The product means multiple.

Hope this helps =]