How to solve this problem

Answer:

There are 6 ordered pairs

Step-by-step explanation:

hope this helps u

Step-by-step explanation:

\(here \: c \: is \: the \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: to \: gather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} = 13 \\ \\ thank \: you\)

Answer:

12

Step-by-step explanation:

Substitute the values for their respective variables and evaluate.

\(bda+c\\\\(3)(-4)(-2)+(-12)\\\\24-12\\\\12\)

Answer:

(3)(-4)(-2)+(-12)

24-12 because the 12 is a negative -12 so that would make the + sign a negative

so ur answer is 12

Step-by-step explanation:

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

The total number of pounds is 20.7

For the given exponential function, the change represents a growth  and the percentage rate is 0.3%.

The formula for the exponential function is:

\(y(t)=y(0)*(1+R)^t\), where:

y(t)= final value

yo=initial value

R=rate

t= time

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:  \(y=30*(1.003)^x\).

When you compare \(y=30*(1.003)^x\)with \(y(t)=y(0)*(1+R)^t\), it is possible to see:

1. 1+R=1.003, so >1 . Therefore, the change represents growth.

2. 1+R=1.003 , therefore,

                           1.003=1+R

                          R=1.003-1

                          R=0.003

                          then,

                         %R=0.003*100=0.3%

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

7.8a + 15 =77.4

subtract 15

7.8a = 62.4

divide 7.8

a = 8

Izzie answer 8 answers correct.

Step-by-step explanation:

3x + 2x = 5x

5x = 100

20

Brainlist pls!

Answer:

Step-by-step explanation:

Geographers use satellites primarily to capture detailed images of a location from space (option A). These images can provide valuable information about the landscape, climate, and natural resources of an area, among other things. Additionally, satellites can be used in combination with other technologies to collect and store digital information about a location (option B), such as mapping the distribution of vegetation or tracking changes in land use over time. While satellites can be used to track the location of moving objects on Earth (option C), this is not typically their primary function. Finally, organizing and representing data for a location (option D) is more closely associated with Geographic Information Systems (GIS) than with satellite technology specifically.

Answer:

A. Capture detailed images of a location from space.

Step-by-step explanation:

Geographers use satellites to capture high-resolution images of the Earth's surface from space. This enables them to study and analyze different aspects of the Earth, such as its topography, land use patterns, and weather systems. These images are also used in cartography, the science of map-making, to create accurate and up-to-date maps of the Earth's surface.

The given expression has to be expanded and evaluated. The given expression is FA1 for\(L1 FA1 a a 1+ FA2 for L2 FA2 3 a CO b b b b b a a 2 a 4 OS + b.\)

\(FA3 for L1 + L2\):

It is given that FA1 for \(L1 = a + b, FA1 a a 1 = 2a\), FA2 for\(L2 = 3a + 4b, FA2 3 a CO b b b b b a a 2 a 4 OS = 3a + 5b\). Substituting the given values in the expression, we have:

\(FA3 for L1 + L2 = (FA1 for L1) (FA1 a a 1) + (FA2 for L2) (FA2 3 a CO b b b b b a a 2 a 4 OS) + b\)
\(FA3 for L1 + L2 = (a + b) (2a) + (3a + 4b) (3a + 5b) + b\)
\(FA3 for L1 + L2 = 2a2 + 3a2 + 15ab + 12b2 + 2ab + b\)
\(FA3 for L1 + L2 = 5a2 + 17ab + 12b2 + b\)
\(FA3 for L1 + L2 is 5a2 + 17ab + 12b2 + b.\)
FA1 for L1:

It is given that FA1 for\(L1 = a + b.\)

FA1 for L1 is a + b.

Answer:

FA3 for L1 + L2 is 5a² + 17ab + 12b² + b and FA1 for L1 is a + b.

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No, the Leaning Tower of Pisa is not in stable equilibrium. Stable equilibrium refers to an object being in a balanced state where even if it is displaced slightly, it will return to its original position. In the case of the tower, its leaning position indicates that it is not in stable equilibrium.

To determine how much farther the tower can lean before becoming unstable, we need to consider the concept of the center of gravity. The center of gravity is the point where the weight of an object can be considered to act. In the case of the tower, the center of gravity is not directly above its base due to the lean.

As the tower leans further, the center of gravity moves away from the base, creating a greater moment or force that tries to topple the tower. Eventually, this force will overcome the tower's ability to maintain its balance, causing it to become unstable and potentially collapse.

To calculate the maximum lean before instability, we need to determine the angle at which the tower would no longer be able to support itself. This can be done using trigonometry and the tower's dimensions. However, since the tower is a historical landmark and a significant engineering feat, measures have been taken to ensure its stability and prevent it from toppling over.

In conclusion, while the Leaning Tower of Pisa is not in stable equilibrium, it has been stabilized to prevent further leaning and potential collapse. The exact maximum lean before instability is not relevant in this context, as the tower's preservation and safety have been prioritized.

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Answer:

113.097 square meters

Step-by-step explanation:

First, let's take a moment to visualize the information in this problem. Assuming the sprinkler has full range of motion, this would mean the area covered by the water would form a circular shape, with the sprinkler as the center.

Using this information, we also know that the 6 m of water sprayed by the sprinkler is equal to the radius of the circle. In order to find the area of the shape, we will use the formula for the area of a circle:

A = pi(r^2)

Filling in our known radius, we have:

A = pi(6^2) = pi(36) = 113.097 square meters

Hope this helped!

(a) Based on the given data, there appear to be short-term fluctuations in the sales of the ice-skating rink. The sales figures vary from quarter to quarter, with some quarters showing higher sales and others showing lower sales. This suggests the presence of short-term or seasonal trends in the data. For example, there is a notable increase in sales in quarters 1, 5, and 6, followed by a decrease in quarters 3, 4, and 8. This pattern indicates a possible seasonal or cyclical trend in the sales of the ice-skating rink.

(b) To calculate the 3-period moving averages, we take the average of the sales data over a window of three consecutive quarters and compute the average for each subsequent quarter. The moving averages smooth out the fluctuations in the data and provide a clearer picture of the underlying trend.

Quarter 1: (7555 + 6695 + 5415) / 3 = 6555

Quarter 2: (6695 + 5415 + 4150) / 3 = 5420

Quarter 3: (5415 + 4150 + 7310) / 3 = 5625

Quarter 4: (4150 + 7310 + 7015) / 3 = 6158.33

Quarter 5: (7310 + 7015 + 5435) / 3 = 6586.67

Quarter 6: (7015 + 5435 + 3885) / 3 = 5445

Quarter 7: (5435 + 3885 + 0) / 3 = 3106.67

Quarter 8: (3885 + 0 + 0) / 3 = 1295

(c) The moving averages can be plotted on a graph with the x-axis representing the quarters and the y-axis representing the sales figures. Each moving average value is plotted in the corresponding quarter.

(d) Based on the calculated moving averages, we can make a prediction for the sales taken in the following two quarters. The prediction will be the average of the sales figures for the last three quarters.

Prediction for Quarter 9: (7015 + 5435 + 3885) / 3 = 5445

Prediction for Quarter 10: (5435 + 3885 + 0) / 3 = 3106.67

Therefore, the prediction for the sales taken in the following two quarters is £5,445 for Quarter 9 and £3,107 for Quarter 10.

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Answer:

Given that the question rightly asks the amount it cost to drive from Smithville to Jones City, we have;

The question rightly asks the amount it cost to drive from Smithville to Jones City is approximately $7.209

Step-by-step explanation:

The coordinates of Smithville is (-25, 10)

The coordinates of Jones City is (15, 12)

The cost of driving a car for a mile = $0.18

Therefore, the distance from Smithville to Jones City is given by the formula for the distance, l, between two points with coordinates as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

(x₁, y₁) = (-25, 10) and (x₂, y₂) = (15, 12)

\(l = \sqrt{\left (12-10 \right )^{2}+\left (15-(-25) \right )^{2}} = 2 \cdot \sqrt{401}\)

The distance from Smithville to Jones City = 2·√401 ≈ 40.05 miles

The amount, A, it cost to drive from Smithville to Jones City a distance of approximately 40.05 miles is therefore given as follows;

A = 40.05 miles × $0.18 ≈ $7.209

Therefore , the solution of the given problem of angles comes out to be lim x→2 g(x) = lim x→2 [(x² - 4)/(x - 2)] = 4.

Both the largest and the tiniest walls of a skew are determined by an intersection of the lines that connect that make up its ends. A junction could possibly bring two routes together. Another result of two objects interacting is an angle. They most closely resemble dihedral shapes. Two line beams can be arranged in a variety of ways between their extremities to form a two-dimensional curve.

Here,

The abbreviated formula for f(x) = (4x³ - 3x² - 10x - 3)/(x³ - x² - 6x) is as follows:

f(x) = (4x³ - 3x² - 10x - 3)/(x³ - x² - 6x)

f(x) = [(4x³ - 12x) + (9x² - 3)] / (x(x² - x - 6))

f(x) = [4x(x² - 3) + 3(3x² - 1)] / [x(x - 3)(x + 2)]

f(x) = [4x/(x-3)] + [3/(x+2)] - [3x/(x²-x-6)]

Consequently, the abbreviated form is:

f(x) = [4x/(x-3)] + [3/(x+2)] - [3x/(x²-x-6)]

Direct substitution can be used to find the limit of the equation g(x) = (x2 - 4)/(x - 2) as x approaches 2, which results in the undetermined form 0/0. In order to take the derivative of the numerator and denominator with regard to x, we can apply L'Hopital's rule as follows:

g(x) = (x² - 4)/(x - 2)

g'(x) = [(2x) * (x - 2) - (x² - 4) * 1] / (x - 2)²

g'(2) = 4

As x gets closer to 2, the maximum of g(x) is as follows:

lim x→2 g(x) = lim x→2 [(x² - 4)/(x - 2)] = 4

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Answer:9 hours

Step-by-step explanation:

when rounding to the nearest tenth, you use the number behind the decimal to determine which way you go. if it's below five(.1, .2, .3, .4) then you go down, if its above five(.6, .7, .8, .9) you would up. in this case, it's above fine, so we round up, which would make the total hours Andreas spent on the project 9 hours.

To obtain the lateral surface area of a triangular pyramid, you need to calculate the combined area of all the triangular faces excluding the base.

Here's the step-by-step process:

1. Identify the base and the height of the triangular pyramid.

The base is a triangle, and the height is the perpendicular distance from the base to the apex of the pyramid.

2. Calculate the area of each triangular face.

For each triangular face, you need to determine the length of the base of the triangle (b) and the corresponding height (h) perpendicular to that base.

Calculate the area of each face using the formula: Area = (1/2) * base * height.

3. Sum up the areas of all the triangular faces.

Add up the areas of all the triangular faces to obtain the lateral surface area.

The formula for the lateral surface area (LSA) of a triangular pyramid can be expressed as:

LSA = Area_face1 + Area_face2 + Area_face3 + ...

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Answer: It depends, some are easier as words, and some are easier as written problems.

-Hope it helps!

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let  x  equal the number of months of membership, and  y  equal the total cost.

Club A's is  y = 24x + 21.50 and Club B's is  y = 17.25 x + 41.00 Because we know that the prices,  y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for  x  by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

I have no : idea

Step-by-step explanation: WHat grade is this for I might be able to help you.

Answer:

Unknown, Solve for x or y?

Step-by-step explanation:

You need to elaborate on your answer... sorry.

In the meantime, here is Microsoft Math Solver, With your equations:

https://mathsolver.microsoft.com/en/solve-problem/x-y%20%3D%20%203

You can use this tool next time :)

Have a great day,

Nate

Answer:

option 2

Step-by-step explanation:

√8^2+(22/2)^2=√64+121=√185≈13.6

Answer:

7

Step-by-step explanation:

Answer:

9.423

Step-by-step explanation:

Using 3.141 as Pi

Using the Arc length equation:

Arc length = \(\pi d * angle/360\)

As the angle of the missing section is 90 degrees, and all angles around a point must be 360 degrees, it leaves 360-90 = 270 degrees for the angle.

As the radius is 2, the diameter is twice the length of the radius so 2*2 = 4 so the diameter is 4.

\(\pi 4 * 270/360\)

3.141 * 4 = 12.564

270/360 = 0.75

12.564 * 0.75 = 9.423

So 9.423 is the arc length.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\\)

From the question the points are

F(6, 9) and G(4, 14)

The distance between them is

\( |FG| = \sqrt{ ({6 - 4})^{2} + ({9 - 14})^{2} } \\ = \sqrt{( { - 2})^{2} + ({ - 5})^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \: \\ = 5.3851...\)

We have the final answer as

Hope this helps you