PLEASE HELP PLEASEEE!!!

Answer:

$29.12

Step-by-step explanation:

x - .25x = 25.95

.75x = 25.95   Divide both sides by .75

x = 34.60

the original cost of the sweater was $34.60

34.60 x .8  If you take off 20%, you are leaving on 80%

$29.12  This is the purchase price of 20% off of the original cost.

*see attachement.

Answer:

Country A because it has a smaller interquartile range

Step-by-step explanation:

A smaller interquartile range connotes that the data in the distribution do not vary much, while a larger interquartile range would suggest the data vary much.

Therefore, the island that would have an average speed close to its median would be the island whose interquartile range is smaller.

Thus, Country A has a smaller interquartile range, so therefore, it would have a daily wind speed close to its median.

Answer:

C

Step-by-step explanation:\

Ur welcome

Answer:

y=3x+4

Step-by-step explanation:

rise=3

run=1

3/1=3

y-intercept is 4

Points are (-1, 1) & (4, 0)

Hope this helps!!!

Answer:

the correct answer is the very last option, y=3x+4

Step-by-step explanation:

The variance of the return on a portfolio with many securities is more dependent on the covariances between the individual securities than on the variances of the individual securities.

The variance of a portfolio measures the variability or dispersion of the portfolio's returns. When a portfolio consists of multiple securities, the overall variance is influenced by the interrelationships among the returns of those individual securities.

The covariance between individual securities in a portfolio has a significant impact on the portfolio's variance.

The diversification benefits arise from the fact that covariances tend to offset each other, potentially leading to a lower overall portfolio variance compared to the sum of individual variances.

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Answer:

The slopes are equal

Step-by-step explanation:

Calculate the slope m of f(x) using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = \(\frac{2-5}{0-(-1)}\) = \(\frac{-3}{0+1}\) = \(\frac{-3}{1}\) = - 3

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

g(x) = - 3x - 6 ← is in slope- intercept form

with slope m = - 3

Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel

The value of x for the given expression of angles of a triangle is 2.

When a triangle is inscribed in a circle, there are several angle properties that can be derived from the relationship between the sides of the triangle and the angles formed at the points where the sides touch the circle. An angle inscribed in a semicircle is a right angle.

The sum of the two angles is 90°.

11x -4 + 16x + 40 = 90

27x + 36 = 90

27x = 54

x = 2

Therefore, the value of x for the given angles will be 2.

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Answer:

C

Explanation:

Answer:

Step-by-step explanation:

The given triangle has:

The ratio (slope) is:

For any triangle using same line the proportion is:

Answer:

0.5

Step-by-step explanation:

density= mass/volume

25/50=0.5

The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).

To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.

Component 1: f1(t) = t/(9 + t^4)

This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.

Component 2: f2(t) = 7t^2 - 7t + 1

This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.

Component 3: f3(t) = ln(t + 3)

The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.

Taking all these considerations into account.The function is continuous for all values of t greater than -3.

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Answer:

c

d is not the correct answer becuase do that number times the angle

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The mean is 3

Step-by-step explanation:

Answer:

I think r = 89/5 as the answer

Answer:

r= - 8/9

5 - 9= 8/r + 5

-4 = 8/r +5

r= -8/9

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Part a) The function’s equation written in vertex form is

   f(X) = 2(x - 2)² - 8

Part b) The function’s equation written in factored form is equal to

   f(x) = 2x(x - 4)

What is a simple definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. A domain, codomain, or range exists for every function. A function is often represented by the notation f(x), where x represents the input.

The equation of a vertical parabola written in vertex form is equal to

     f(x) = a(x - h )² + k

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

 f(x) = a( x - 2)²  - 8

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

 0 = a(0 -2)² - 8

 0 = 4a - 8

  a = 2

therefore

The function’s equation written in vertex form is

          f(x) = 2(x - 2)²- 8

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

  f(x) = a(x - x₁)(x- x₂)

where

a is a coefficient

x₁ and x₂ are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

 f(x) = a(x- 0)(x- 4)

 f(x) = ax(x - 4)

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

 - 8 = a(2)( 2 - 4)

 - 8 = - 4a

   a = 2

therefore

The function’s equation written in factored form is equal to

   f(X) = 2x(x - 4)

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Answer:

67.5

Step-by-step explanation:

b times h

7.5 times 9

Answer:

A = 67.5 in²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 9 and h = 7.5 , then

A = 9 × 7.5 = 67.5 in²

Therefore, the correct expression of the density, rounded to three significant figures, would be 2.46 g/cm³.

To express a density value to three significant figures, you need to consider the number of significant figures in the given data or measurement.

For example, if the given data or measurement has four significant figures, you would round the density value to three significant figures.

Let's consider an example:

Suppose the density of a substance is measured as 2.456 grams per cubic centimeter (g/cm³). To express this density value to three significant figures, you would round it to the nearest thousandth:

2.456 g/cm³ rounded to three significant figures is 2.46 g/cm³.

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On solving the provided question we cans ay that - A rectangle in Euclidean plane geometry is a quadrilateral with four right angles\(2(8x + 4) = (24x - 8) = > 8x = 16 = > x = 2\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a four-sided polygon with four 90-degree angles. The form of a rectangle is two dimensional.

Both of the rectangle's diagonals are the same length.

Hence , FH=EG

as, diagonals bisect each other

So,\(2(JF)=EG\)

\(2(8x + 4) = (24x - 8)\\8x = 16 \\x = 2\)

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Answer:

y = (2/3)x + 5

Step-by-step explanation:

y = (2x - 1)/3 is also

y = (2/3)x - 1/3

to get started on this question you will want to plug in the points and remove the - 1/3 as the slope is the same

5 = 0 + b

the b is the y intercept or what was -1/3 in the previous equation

thus when you write the equation for the line that is parallel to y=(2x-1)/3 and passes though (0,5)

you get

y = (2/3)x + 5

Answer:  assuming g(x) is the inverse of f(x)

domain of g(x) = range of f(x)

range of g(x) = domain of f(x)

Answer:

they are often small but intense. ... The amount of precipitation that falls around the world may range from less than ... One inch of rain falling on 1 acre of ground is equal to about 27,154 gallons

Step-by-step explanation:

Answer: x=48

Step-by-step explanation:

(x-6)+(3x-12)+2x+90=360

x+3x+2x-6-12+90=360

6x+72=360

6x+72-72=360-72

6x=288

x=48

To find the other angles, you replace the x by 48

Answer:

\({ \tt{(3x - 12) + (x - 6) + 2x + 90 \degree = 360 \degree}} \\ \\ { \tt{6x + 72 = 360 }} \\ { \tt{6x = 288}} \\ \\ { \boxed{ \tt{x = 48}}}\)

The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Calculate r, giving your answer correct to 1 decimal place.

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

\(\frac{1}{8}\)

Step-by-step explanation:

Since there are four answer choices for question one, the chance of picking the correct answer is \(\frac{1}{4}\). However, there is also another question. That question is a true-or-false question, meaning that there is only two options. Therefore, the probability of picking the correct answer is \(\frac{1}{2}\). To find the probability of picking both correctly, you multiply the two together. \(\frac{1}{4} * \frac{1}{2} = \frac{1}{8}\), so the answer is \(\frac{1}{8}\).

The functions that show a positive rate of change include the following:

A. y = 2x/3 - 2.

B. y = 7 - (-3x).

In Mathematics, the slope-intercept form of a line can be represented or modeled by using this linear equation:

y = mx + c

Where:

Generally speaking, a function with a positive rate of change represents an increasing function because its numerical value is increasing over time such as in the following increasing function:

y = 2x/3 - 2.

Slope, m = 2/3 (positive slope).

y = 7 - (-3x)

y = 7 + 3x

Slope, m = 3 (positive slope).

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The functions that show a positive rate of change are y = 2/3x - 2 and y = 7 - (-3x).

A positive function is a function that has the values of x that are greater or higher than zero on the graph. It means that they are always increasing on the positive y-axis i.e. f(x) > 0.

The function's outputs known as the y-values, however, must be larger than zero even though the domain values i.e. (x-values) might be negative. A positive function, then, has values that are positive for all of its domain's parameters.

To determine the positivity of the function on the graph, the slope must also be positive. Using the linear function form y = mx + b.

where;

From the given information, the functions that demonstrated a positive slope are:

Therefore, we can conclude that the functions that show a positive rate of change are y = 2/3x - 2 and y = 7 - (-3x).

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Answer:

a. 4

b. -2

c. 0,5

Step-by-step explanation:

1. 4

2.2

3.0,5

IT IS SAYING TO WORK OUT WHAT THAT LINE REPRESENTS

To find the probability of rolling six standard, six-sided dice and getting six distinct numbers, we need to calculate the total number of possible outcomes and the number of outcomes that satisfy the given condition.

Total Number of Outcomes:

The total number of possible outcomes when rolling six dice is 6^6, which is 46,656. Each die has six possible outcomes (1, 2, 3, 4, 5, or 6), and there are six dice being rolled.

Number of Outcomes with Six Distinct Numbers:

To get six distinct numbers when rolling six dice, each number must be different from the others. We can choose any six numbers from 1 to 6, and there are 6! (6 factorial) ways to arrange them on the six dice.

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

Probability of Getting Six Distinct Numbers:

To find the probability of rolling six standard, six-sided dice and getting six distinct numbers, we divide the number of outcomes with six distinct numbers by the total number of possible outcomes:

P(six distinct numbers) = number of outcomes with six distinct numbers / total number of outcomes

P(six distinct numbers) = 720 / 46,656

P(six distinct numbers) = 5 / 324

Therefore, the value of the probability is 5/324 or approximately 0.0154.

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Answer:

the size of the bacterial population after 100 minutes is 20,158.7 bacteria

the size of the bacterial population after  10 hours is 2097152000 bacteria

Step-by-step explanation:

Given that

The bacteria contains 2000

It would be double at every half hour

We need to find out the size of the bacteria after 100 minutes & 10 hours

So,

The size of the bacteria after 100 minutes is

= 2000 × 2^(100 ÷ 30)

= 2000 × 10.079

= 20,158.7 bacteria

Now the size of the bacteria after 10 hours is

10 hours = 10 × 60 minutes = 600 minutes

= 2000 × 2^(600 ÷ 30)

= 2097152000 bacteria