The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?

The amount of money is 4000 was invested at 3%.

Let x be the amount of money invested at 3%.

Then, the amount of money invested at 5% is 6000 - x.

The interest earned on the amount invested at 3% is 0.03x.

The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.

The total interest earned is given as $220.

So, we can write the equation:

0.03x + (300 - 0.05x) = 220

Simplifying and solving for x, we get:

0.03x + 300 - 0.05x = 220

-0.02x + 300 = 220

-0.02x = -80

x = 4000

Therefore, $4000 was invested at 3%.

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Answer:

she gave away 6 cupcakes

Step-by-step explanation:

3/7 is the same as 6/14.

if she gave away 6/14 cupcakes, she gave away 6 cupcakes

The equation for the scenario of the work load doubling every period would be Assignments due = 3 x 2^(number of periods)

The assignments due would be:

Assignments start at 3 assignments and then double per period so the best equation is:

Assignments due = 3 x 2^(number of periods)

After 1 period:

Assignments due = 3 x 2^(number of periods)

= 3 x 2

= 6 assignments

After 4 periods:

= 4 x 2⁴

= 48 assignments

After 8 periods:

= 4 x 2 ⁸

= 768 assignments

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In conclusion 1324 base 5 = 326 base 8.

To convert the number 1324 in base 5 to base 8, you can follow these steps:

Step 1: Write the given number in expanded form with powers of 5.

1324 base 5 = 1 × 5² + 3 × 5¹ + 2 × 5⁰ + 4 × 5⁻¹

Step 2: Simplify the expression to obtain the decimal equivalent.

1324 base 5 = 25 + 15 + 2 + 0.4 = 42.4

Step 3: Convert the decimal equivalent to base 8 by successive multiplication by 8.

0.4 × 8 = 3.2 (0)

0.2 × 8 = 1.6 (1)

0.6 × 8 = 4.8 (4)

0.8 × 8 = 6.4 (6)

0.4 × 8 = 3.2 (3)

0.2 × 8 = 1.6 (1)

The integer parts obtained in order give the equivalent representation of the number in base 8.

Therefore, 1324 base 5 = 42163 base 8.

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complete question:

How can I convert the number 1324 in base 5 to its equivalent representation in base 8?

Answer:

20

Step-by-step explanation:

2L + 2W = P :))

Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

Answer:

Step-by-step explanation:

[tex]\mathrm{4(2y-4)-11y}[/tex]

Apply the distributive property:-

[tex]\mathrm{8y-16-11y}[/tex]

Combine like terms:-

[tex]\mathrm{8y-11y=\bf-3y}[/tex]

[tex]\mathrm{-3y-16}[/tex]

_________________________

Hope this helps! :)

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

Answer:

there is no associstaion

Step-by-step explanation:

The measure of the angle m∠3 of the triangle is m∠3 = 150°

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the angles are

m∠1 = ( 3x + 12 )°

m∠2 = ( 3x + 18 )°

m∠3 = ( 7x + 10 )°

m∠3 = 180° - ( m∠1  + m∠2 )

Now , for a triangle , the total angles = 180°

So , m∠1 + m∠2 = m∠3

On simplifying , we get

( 3x + 12 ) + ( 3x + 18 ) = ( 7x + 10 )

6x + 30 = 7x + 10

Subtracting 6x on both sides , we get

x + 10 = 30

Subtracting 10 on both sides , we get

x = 20

m∠3 = 150°

Hence , the measure of m∠3 = 150°

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The complete question is attached below :

In the figure, m<1 = (3x + 12) degrees, m<2 = (3x + 18) degrees and m<3 = (7x + 10) degrees. What is m<3 in degrees?

The amount paid by the major medical policy is $3,046.40.

First, we need to calculate the covered expenses before the coinsurance feature comes into play. Since Olga's major medical policy did not cover $312 of the bill, the covered expenses will be:

Covered expenses = Total bill - Amount not covered

Covered expenses = $4,620 - $312

Covered expenses = $4,308

Next, we need to calculate the amount of the covered expenses that is subject to the coinsurance feature. Since Olga's policy has a $500 deductible, the covered expenses subject to coinsurance will be:

Covered expenses subject to coinsurance = Covered expenses - Deductible

Covered expenses subject to coinsurance = $4,308 - $500

Covered expenses subject to coinsurance = $3,808

The coinsurance feature pays 80% of the covered expenses subject to coinsurance, so the amount paid by the major medical policy will be:

Amount paid = Coinsurance rate x Covered expenses subject to coinsurance

Amount paid = 0.8 x $3,808

Amount paid = $3,046.40

Therefore, the amount paid by the major medical policy is $3,046.40.

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James Abbott McNeill Whistler's Nocturne in Black and Gold: The Falling Rocket (c. 1875) is an example of "art-for-art's sake" of the Aesthetic movement is: B. Aesthetic.

The art for art's sake movement which began to form in the late 19th century as a response against the utilitarian and moralistic attitude to art that had predominated in previous centuries is exemplified by The Falling Rocket.

The movement emphasized the value of art as a self sufficient and independent field, free from politics, religion and other outside influences.

Therefore the correct option is B.

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Answer:

4.47214

Step-by-step explanation:

The time will take the car to reach it's destination is 0.005 hours

The first step is to convert 528 feet to miles

1 foot= 0.000189394 miles

528= x

cross multiply

= 528 × 0.000189394

= 0.1

Time= distance/speed

distance= 0.1 miles

speed= 20

Time= 0.1/20

= 0.005 hours

Hence it will take the car 0.005 hours to reach its destination

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The system of equations are t = 22.28 years , number of nickles and dimes are solved

Given data ,

a)

Let the number of years be represented as t

For truck A, the total cost (including the initial cost and average yearly repair cost) after "t" years can be represented as:

Total cost for truck A = 20345 + 1230t

For truck B, the total cost (including the initial cost and average yearly repair cost) after "t" years can be represented as:

Total cost for truck B = 16000 + 1425t

when the total costs are equal , we get

20345 + 1230t = 16000 + 1425t

On simplifying , we get

195t = 4,345

t = 22.28 years

b)

Let the number of nickels be n and number of dimes be d

The total value of nickels is 0.05n (since the value of one nickel is $0.05) and the total value of dimes is 0.10d (since the value of one dime is $0.10)

The total value of the coins = $ 2.05

And , the total number of coins = 56

0.05n + 0.10d = 2.05

And , n + d = 56

Hence , the system of equations are solved

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The planes that are parallel in the cube shown would be C. NOR and LMP.

Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.

From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.

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Answer:

60.96 meters per hour.

Answer:

3658.53658537 meter per hour

Step-by-step explanation:

[tex]\frac{100ft}{30sec}[/tex] · [tex]\frac{1meter}{3.28feet}[/tex] · [tex]\frac{60sec}{1min}[/tex] ·[tex]\frac{60min}{hour}[/tex]  You can cross cancel works like you can numbers

[tex]\frac{100}{30}[/tex] · [tex]\frac{1meter}{3.28}[/tex] · [tex]\frac{60}{1}[/tex] · [tex]\frac{60}{1hour}[/tex]

[tex]\frac{360000meters}{98.4hours}[/tex]

3658.53658537 meter per hour

The volume of the composite solid is 980.2 cm³.

A composite solid is a solid made of two or more well-defined solid objects.

To calculate the volume of the composite solid, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Receiving a large tax refund is problematic because it means overpaying taxes and missing out on the opportunity to use that money throughout the year for paying down debt, building an emergency fund, or investing.

We have,

While receiving a large tax refund each year may seem like a positive thing, it actually means that Mia and Allen are overpaying their taxes throughout the year.

This means that they are essentially giving the government an interest-free loan by allowing them to hold onto their money instead of having it available to them throughout the year to use for things like paying down debt or investing in their future.

By overpaying their taxes,

Mia and Allen are essentially missing out on the opportunity to use their money in ways that could benefit them in the long run.

Additionally, the large tax refund they receive each year may create a sense of false security, leading them to believe that they are in a better financial situation than they actually are.

Rather than receiving a large tax refund each year, it may be more beneficial for Mia and Allen to adjust their tax withholdings so that they are receiving more money in each paycheck.

This way, they can use the extra money to pay down debt, build up their emergency fund, or invest in their future, rather than giving the government an interest-free loan.

Thus,

Receiving a large tax refund is problematic because it means overpaying taxes and missing out on the opportunity to use that money throughout the year for paying down debt, building an emergency fund, or investing.

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The coordinates of the new point  is (-6, -2)

From the question, we have the following parameters that can be used in our computation:

Point = (6, 2)

Rule: 180 degrees rotation

The rule of 180 degrees rotation is

(x, y) = (-x -y)

Substitute the known values in the above equation, so, we have the following representation

image = (-6, -2)

Hence, the image is (-6, -2)

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The height of the image after the dilation with scale factor of 6 is given by the relation H = 54 mm

Given data ,

Let the image be an image of a panda to create a custom shirt

Now , original image is 9mm tall and 16mm wide

Let the dilation scale factor of enlargement be k = 6

So , the new image is 6 ( 9mm tall and 16mm wide )

On simplifying the equation , we get

The new image is 54 mm tall and 96 mm wide

Hence , the height of the image is 54 mm

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The expression which has the greatest value is 1 7/8 divided by 1/12

• For the first question,  [tex]\frac{3}{4} /\frac{1}{3} =2 \frac{1}{4}[/tex]

• For the second question, [tex]\frac{3}{4} / \frac{1}{12} = 9[/tex]

• For the third question,  [tex]1 \frac{7}{8} =\frac{15}{8}[/tex] so [tex]\frac{15}{8} /\frac{1}{12} = 22 \frac{1}{2}[/tex]

• For the fourth question, [tex]1 \frac{7}{8} =\frac{15}{8}[/tex] so [tex]\frac{15}{8} /\frac{1}{3} = 5 \frac{5}{8}[/tex]

—————

Please remember to revise this and make it in your own words if you want! I tried to speed this up a lot! I hope this helps you. -Doodle

—————

Answer:

1 7/8 / 1/ 12 has the greatest value

Step-by-step explanation:

Answer:

9w - 35

Step-by-step explanation:

-3(w + 5) + 4(3w - 5)

(Use the distributive property to multiply -3 by w + 5.)

-3w - 15 + 4(3w - 5)

(Use the distributive property to multiply 4 by 3w - 5)

-3w - 15 + 12w - 20

(Combine -3w and 12w to get 9w.)

Subtract 20 from -15 to get -35.

9w - 35.

Answer:

Step-by-step explanation:

[tex]\mathrm{-3(w+5)+4(3w-5) }[/tex]

Expand (Apply the distributive property) :-

[tex]\mathrm{-3w-15+12w-20}[/tex]

Combine like terms:-

[tex]\mathrm{-3w+12w=\bf 9w}[/tex]

[tex]\matherm{-15-20=\bf-35}[/tex]

[tex]\mathrm{9w-35}[/tex]

______________________

Hope this helps!

Answer:

The answer for Area is 189.29in²

Step-by-step explanation:

Area of compound =Area of semi circle +Area of rectangle

r=d/2=10/2=5in

A=1/2pir² + L×B

A=1/2×5² + 10×15

A=25pi/2+150

A=39.29+150

A=189.29in²

The probability of flipping tails at least two times in three flips is 1/2.

When flipping a coin, there are two possible outcomes: heads or tails. Each flip is independent of the previous flips, so the probability of getting tails on any given flip is always 1/2 (assuming the coin is fair).

To find the theoretical probability of flipping tails at least two times in three flips, we can use the binomial probability formula:

P(x ≥ k) = 1 - P(x < k)

where P(x < k) is the probability of getting tails fewer than k times in three flips.

To find P(x < k), we can add up the probabilities of getting tails 0 times and getting tails 1 time:

P(x < 2) = P(0 tails) + P(1 tail)

P(0 tails) = (1/2)⁰ x (1/2)³ = 1/8

P(1 tail) = 3 x (1/2)  (1/2)² = 3/8 (since there are three ways to get exactly one tail: TTH, THT, HTT)

P(x < 2) = 1/8 + 3/8 = 1/2

Therefore, the probability of flipping tails at least two times in three flips is:

P(x ≥ 2) = 1 - P(x < 2) = 1 - 1/2 = 1/2

So the theoretical probability of flipping tails at least two times in three flips is 1/2 or 0.5 as a decimal.

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The angle is 47 degrees while the arc measure is solved to be 94 degrees

The arc measure of the figure labelled AC is solved using the relationship between arcs and inscribed angles.

The relationship goes with formula below

angle B = 1/2 arc measure AC

where

angle B is the inscribed angle and it is equal to 47 degrees

arc measure AC is the unknown

plugging in the values will result to

47 degrees = 1/2 arc measure AC

arc measure AC = 2 * 47 degrees

arc measure AC = 94 degrees

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The equations are classified as follows

System A

consistent and independent this means that the system as a unique  solution at (3, 3)

System B

inconsistent this means that the system as a no  solution

A system is considered to be inconsistent if there is no solution. There is no solution because the line graphs are parallel and do not overlap.

System C

consistent and dependent this means that the system as infinitely many solution

A consistent system is dependent if there are an infinitely many solutions. The two equations represent the same line when you graph them.

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