(Find m∠IGH) m∠IGH =

Answer:

1 balloon= $1

1 banner=$2

if u go by ths logic: the $5 you spent and the $7 ur friend spent makes sense. if they bought 1 banner so, u remove $2 from the $7 spent, then that would leave $5 for the 5 balloon that was bought. and for the one balloon u bought, so remove $1 from the 5 you spent, that would leave you with $4 divide that by 2 and u get $2 per banner

The maximum sum of the products taken two at a time is 180, and this can be achieved by choosing 60, 60, and 60 as the three numbers.

In order to write the number 180 as a sum of three numbers so that the sum of the products taken two at a time is a maximum, one way to do it is to use the formula:

\((x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + xz + yz)\)

Let the three numbers be x, y, and z.

Then the product of the numbers taken two at a time is: \(xy + xz + yz\)

If we want to maximize the sum of the products taken two at a time, we need to maximize \(xy + xz + yz\).

In the formula: \((x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + xz + yz)\)

We can see that the first three terms on the right-hand side are fixed since they depend on x, y, and z. Therefore, to maximize the sum of the products taken two at a time, we need to maximize 2(xy + xz + yz). Since we have the number 180, we can let: \(x + y + z = 180\)

Then, we need to maximize: 2(xy + xz + yz) Using calculus, we can find that the maximum value of 2(xy + xz + yz) is attained when: \(x = y = z = 60\)

Therefore, the three numbers that can be used to write the number 180 as a sum of three numbers so that the sum of the products taken two at a time is a maximum are: 60, 60, 60.

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Answer:

A:   -1 + 2 log4^x

C: log4 (1/4) + log4 x^2

Step-by-step explanation:

Apply logarithm properties:

log4 (1/4x^2)  =  log4 (1/4) + log4 x^2

Evaluate: log4 (1/4)

log4 (1/4) = -1

Substitute the value back:

-1 + lg4 x^2

Apply logarithm properties:

-1 + 2 log4 ^x

Draw a conclusion:

The expressions equivalent to: log4 (1/4x^2) are:

Answer Choices: A, and C

A= -1 + 2 log4^x

C=  log4 (1/4) + log4 x^2

Hope this helps!

Answer:

2/8

Step-by-step explanation:

they can both be divides by two making 1/4 or multiply 1/4 by 2 and youll get 2/8

The angle x in a right-angled triangle is 12.8°.

What is a right-angled triangle?

A triangle is said to have a right angle if one of the angles is 90 degrees. Right triangles are those with angles at 90 degrees, which are referred to as right angles.

The diagram shows a right-angled triangle with opposite = 12 units and hypotenuse as 54 units.

To find the angle x, apply the formula -

sin(x) = opposite/hypotenuse

sin(x) = 12/54

x = sin^-1(12/54)

x = sin^-1(2/9)

x = 12.84°

Rounding it to nearest tenth gives x = 12.8°.

Therefore, the value of x is 12.8°.

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The graph of the function is reflected across the y-axis and vertically translation by 2 units downwards.

The parent function of the graph is f(x) = x

Now the first is the reflection along the y-axis.

Hence the graph of the function h(x) becomes h(x) = -x

Now there is a translation by 2 units downwards. or a vertical translation of 2 units  downwards.

Hence the graph of f becomes g(x) = -x -2

In mathematics, a shape can be translated by moving up, down, left, or right. Since they seem to have the same proportions as the original shapes, the translated shapes are consistent with one another. Just a few more adjustments have been made to the instructions.

As we just saw, before translations are carried out, a shape is referred to as a "preimage," and when translations are complete, a shape is referred to as an "image."

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Answer:

- 11f + 15

Step-by-step explanation:

- f - 5(2f - 3)

= - f - 10f + 15

= - 11f + 15

Answer:

Im gonna put this here so when I actually get the answer I get the points if thats ok? uhh z=10 thank you so much xD

Step-by-step explanation:

Answer:

Hey, it's DemonicBrain, im on my alt acc.

Step-by-step explanation:

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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The rate at which the diameter decreases when the diameter is 10 cm is -0.00798 cm/min.

To find the rate at which the diameter decreases, we can use the relationship between the surface area and the diameter of a sphere.

The surface area of a sphere is given by the formula:

A = \(4\pi r^2\), where A is the surface area and r is the radius (which is half the diameter).

Differentiating both sides of the equation with respect to time t, we get:

dA/dt = 8πr(dr/dt).

We are given that the surface area decreases at a rate of \(1 cm^2/min\), so dA/dt = \(-1 cm^2/min\). We want to find dr/dt when the diameter is 10 cm, which means the radius is r = 10/2 = 5 cm.

Substituting these values into the equation, we have:

-1 = 8π(5)(dr/dt).

Simplifying, we get:

-1 = 40π(dr/dt).

Now, solving for dr/dt:

dr/dt = -1 / (40π).

Using a calculator, this evaluates to approximately -0.00798 cm/min.

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.00798 cm/min. Note that the negative sign indicates the decrease in diameter.

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The largest possible side is 11 cm

The perimeter of any two-dimensional figure is defined as the distance around the figure. We can calculate the perimeter of any closed shape just adding up the length of each of the sides.

The sum of the lengths of the sides is the perimeter of any polygon. In the case of a triangle,

Perimeter = Sum of the three sides

he formula for the perimeter of a closed shape figure is usually equal to the length of the outer line of the figure. Therefore, in the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then,

Perimeter, P = a + b +c

perimeter of a triangle is 23 cm.

therefor , P = 23 cm.

one side measures 5 cm,

a =  5 cm

Perimeter,

P = a + b +c

23 = 5 + b + c

23 - 5 = b + c  

b + c = 18

The sum of any 2 sides of a triangle is greater than the third side.

Two sides of the given can not have the following measurements.

17&1; 16&2; 15&3; 14&4; 13 &5; 12 & 6 .

Values possible are: 11 &7; 10 &8; 9&9

the longest possible side is 11 cm

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Answer:

1. (5, 3)

2. (3, -1)

3. (2, 1)

4. (4, 1)

Step-by-step explanation:

hope this helps :)

Answer: 1. (5,3) 2. (3, -1) 3. (2,1) 4. (4,1)

Step-by-step explanation:

1. Graph the system of equation in desmos.

2. Find the intersection point.

3. There's your answer.

Answer:

x = 13

Step-by-step explanation:

7x/7 = 91/7

cancel the common factor of 7

cancel the common factor

7x/7 = 91/7

divide x by 1

x = 91/7

simplify the right side

divide 91 by 7

x = 13

Answer:

16

Step-by-step explanation:

8 times 16 = 128

Answer:

n = 16

Step-by-step explanation:

We are given the expression 8n = 128, then are asked what the value of n is. To solve, we have to get n alone at all costs, so what we have to do is divide 8 by both sides :

\(\frac{8}{n} = \frac{128}{8}\)

n = 16

The triangles similar to triangle ABC are triangle DEF and triangle PQR. We know that two triangles are similar if and only if their corresponding angles are congruent (i.e. of the same measure).

Therefore, we need to find triangles with corresponding angles congruent to angles A and B in triangle ABC.Triangle DEF is similar to triangle ABC because angle D is congruent to angle A and angle E is congruent to angle B, thus angle D = 35 degrees and angle E = 20 degrees.Triangle GHI is not similar to triangle ABC because angle H is not congruent to angle B. Thus it is incorrect.Triangle JKL is not similar to triangle ABC because angle L is not congruent to angle B. Therefore, it is incorrect.Triangle MNO is not similar to triangle ABC because angle V is not congruent to angle A and angle O is not congruent to angle B.

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Answer:

1. 2.6(0.12)

Step-by-step explanation:

Answers 2. 3. and 4. are variations of equations that equal to 2.912. 1. Is incorrect because it equals to 0.312, which also cannot be correct because the kittens weight must increase.

Answer:

$14,362

Step-by-step explanation:

The computation of the minimum unit cost is shown below:

Given that

0.6x^2 - 108x + 19,222

And as we know that the quadratic equation form is

ax^2 + bx + c

where

a = 0.6

b = -108

c = 19,222

Now for determining the minimal cost we applied the following formula which is

\(= \frac{-b}{2a} \\\\ = \frac{-(-108)}{2\times 0.6} \\\\ = \frac{108}{1.2}\)

= 90

Now put these values to the above equation

\(= 0.6\times 90^{2} - 108 \times 90 + 19,222\)

= 14,362

The radius of the circle is half the diameter, so it is:

r = 12/2 = 6 feet

The area of the circle is given by the formula:

A = πr^2

Substituting r = 6 and π = 3.14, we get:

A = 3.14 * 6^2 = 113.04 square feet

Rounding to the nearest tenth, the area is:

A ≈ 113.0 square feet

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Determining (a) a and b by the method of least squares:  a = 1.084 and b = 3.061. (b) The standard deviations of a and b:  σ_a = 0.107 and σ_b = 0.090. (c) To plot the fit on log-log paper, logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x).

(a) Using the method of least squares, the values of a and b can be determined by minimizing the sum of the squares of the residuals between the data and the function y = a sin(2Tx). Solving for a and b, we get a = 1.084 and b = 3.061.

(b) The standard deviations of a and b can be calculated using the following equations:

σ_a = √(Σ(residuals²)/(n-2)) * √(1/(nΣ(x²)-Σ(x)²))

σ_b = √(Σ(residuals²)/(n-2)) * √(n/(nΣ(x²)-Σ(x)²))

Using the given data and the values of a and b from part (a), we get σ_a = 0.107 and σ_b = 0.090.

(c) To plot the fit on log-log paper, we can take the natural logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x). The resulting plot should be a straight line with slope 2T and intercept ln(a). We can then plot the given data on the same log-log paper and compare the fit with the data.

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Complete question:

The following data follows the functional form y-ax sin(2Tx)

X 0.25 0.75 1.25 1.75 2.25 2.75

Y 3.09 -1.21 0.84 -0.69 0.49 -0.44

(a) Determine a and b by the method of least squares

(b)Determine  the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit.

(c) Plot the fit on log-log paper along with the data.

Answer:

6A+2C=60

Step-by-step explanation:

It mean 6 of A added to 2 of C is equivalent to a total of 60

Step-by-step explanation:

the between two given points in simplest form is 3

Answer:

9 units

Step-by-step explanation:

differnece between the two y values is 9

the x values are the same so we dont factor those in

Answer:

BC = 40

Step-by-step explanation:

Answer:

X=23

BC = 40

Step-by-step explanation:

Hometown Property Casualty Insurance Company's combined ratio, after dividends, can be calculated as 114%. This means that the company is paying out more in losses, expenses, dividends, and taxes than it is earning in premiums and investment income.

The combined ratio is a key metric used in the insurance industry to assess the overall profitability of an insurance company. It is calculated by adding the loss ratio and the expense ratio. In this case, the loss ratio is 75% and the expense ratio is 30%. Therefore, the combined ratio before dividends would be 75% + 30% = 105%.

To calculate the combined ratio after dividends, we need to consider the dividend ratio and the net investment income. The dividend ratio is 1%, which means that 1% of the company's premium revenue is paid out as dividends to shareholders. The net investment income is 8%, representing the return on the company's investments.

To adjust the combined ratio for dividends, we subtract the dividend ratio (1%) from the combined ratio before dividends (105%). This gives us 105% - 1% = 104%. Then, we add the net investment income (8%) to obtain the final combined ratio.

Therefore, the combined ratio after dividends for Hometown Property Casualty Insurance Company is 104% + 8% = 114%. This indicates that the company's expenses and losses, including dividends and taxes, exceed its premium revenue and investment income by 14%. A combined ratio above 100% suggests that the company is operating at a loss, and in this case, Hometown Property Casualty Insurance Company would need to take measures to improve its profitability.

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Answer:

0.009

Step-by-step explanation:

Simply move the decimal point from nine- then move it to the right three times.

If you need any more help, do not hesitate to ask me. :)

Answer: 0.009  hope this helps.

The resulting double-line graph should show the sales data for desktop and laptop computers over the five days, with a line for each type of computer.

A double-line graph is a graph that displays two sets of data on the same graph, using two lines to show how each set of data changes over time or some other variable.

To create a double-line graph of the sales data for desktop and laptop computers over five days, follow these steps:

Draw a graph with two perpendicular axes, the horizontal axis (x-axis) representing the days, and the vertical axis (y-axis) representing the number of computers sold.

Label the horizontal axis with the days from Day 1 to Day 5.

Label the vertical axis with the heading "Number of Computers Sold".

Plot the data points for desktop computer sales. For Day 1, plot a point at (1, 4), for Day 2 plot a point at (2, 1), for Day 3 plot a point at (3, 2), for Day 4 plot a point at (4, 5), and for Day 5 plot a point at (5, 1).

Connect the data points for desktop computer sales with a line.

Plot the data points for laptop computer sales. For Day 1, plot a point at (1, 5), for Day 2 plot a point at (2, 2), for Day 3 plot a point at (3, 3), for Day 4 plot a point at (4, 7), and for Day 5 plot a point at (5, 3).

Connect the data points for laptop computer sales with a line.

Use a different color or style for the line representing desktop sales and the line representing laptop sales.

Add a legend to the graph to indicate which line corresponds to desktop sales and which corresponds to laptop sales.

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Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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Answer:

B.

Step-by-step explanation:

All the possible outcomes are listed on choice B.

The event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have three coins.

As we know, in a coin there are two sides head and a tail.

If we flip three coins then the set of all the possible outcomes:

O = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

The set of outcomes has more tails than heads.

E = {ttt, tth, tht, htt}

We can find the probability, the probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Probability = 4/8 = 1/2

Thus, the event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.

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Answer:

the answer is 113 in. squared

Answer:

The approximate are of the circle is 1017 in².

The time it will be until the value of the car is 2700 dollars is, 14 years.

We have,

A new car is purchased for 15600 dollars. The value of the car depreciates at 12. 25% per year.

To find the time it will be until the value of the car is 2700 dollars , we used the formula,

A = P (1 - r%)ⁿ

Here, A = 2700 dollars

P = 15600 dollars

r = 12.25% = 0.1225

Substitute all the values, we get;

2700 = 15600 (1 - 0.1225)ⁿ

0.17 = (0.88)ⁿ

Take log both side,

log 0.17 = n log 0.88

- 0.77 = n x - 0.056

n = 0.77 / 0.056

n = 13.75

n = 14 years

Therefore, the time it will be until the value of the car is 2700 dollars is, 14 years.

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