What is the next term in the pattern 1000, 500, 250, 125, 62.5, ……

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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Answer:

B. -4

Step-by-step explanation:

Just took the test on Edge

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Considering the linear function, the features are given as follows:

9. y-intercept: (0,2).

10. Equation: y = 5x/6 + 2.

11. y when x = 12: y = 12.

12. x when y = 4: x = 2.4.

13. y when x = -6: y = -3.

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In this problem, the function crosses the y-axis at y = 2, hence the intercept is:

b = 2.

When x increases by six, y increases by five, hence the slope is:

m = 5/6.

Thus the equation is:

y = 5x/6 + 2.

The numeric values for the function are given as follows:

The solution when y = 4 is given as follows:

4 = 5x/6 + 2.

5x/6 = 2

5x = 12

x = 12/5

x = 2.4.

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Answer:

it is 8

Step-by-step explanation:

1+1+1+1+1+1+1+1

2+2+2+2

4+4

8

Answer:

8

Step-by-step explanation:

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

18%

Step-by-step explanation:

percentage discount is calculated as

\(\frac{discount}{original}\) × 100%

here discount = $50 - $41 = $9 , then

% discount = \(\frac{9}{50}\) × 100% = 9 × 2% = 18%

Answer:

there is the answer good luck

Answer:

10

Step-by-step explanation:

5+5=10

each hand has five fingers so if you count all of the fingers on both hands, you will get 10

Answer:

Put the points on the following coordinates: (0, -6), (3, -5), (6, -4), and (9, -3).

Answer:

13 so yeah it correect

Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.

However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.

Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.

In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.

Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.

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Answer:

15 sides

Step-by-step explanation:

360/24 =15

Hope this helps!

Answer:

number of sides = 15

Step-by-step explanation:

since we are given the size of exterior angle and we know that the number of sides (n) = 360 ÷ by the size of the exterior angle.

so it's 360÷24 which is 15

I hope it's helpful!

Answer:

20

Step-by-step explanation:

The current area is 120(80)=9600 and he want to expand it by 4400 so that the new area will be 9600+4400=14000 

14000=(120+x)(80+x) 

14000=9600+200x+x^2 

x^2+200x-4400=0 

x^2-20x+220x-4400=0 

x(x-20)+220(x-20)=0 

(x+220)(x-20)=0, since x is an increase it must be greater than zero so 

x=20ft 

(120+20)(80+20)=14000ft^2

Answer:

Given. 2. A bisector cuts a segment into 2. ≅ parts. 3. Intersecting lines form vertical ∠. 4. ... 3. ∠ABC = ∠ADC Angle. 4. ∆ABC ≅ ∆ADC. Reasons. 1. Given. 2. Given ... AE ≅ DF. AB ≅ CD. Prove: EC ≅ FB. Statement. 1. ∠A and ∠D are a rt ∠ ... CD bisects ∠BCA ... ∠ECA ≅ ½∠BAC and ... Given: CEA ≅ CDB, ∆ABC.

Step-by-step explanation:

The number of cards left to be signed is 32 cards.

To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.

Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:

75 - 30 = 45 cards.

Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.

After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:

45 - 5 = 40 cards.

Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.

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Answer:

u

Step-by-step explanation:

Answer:

e^-x + e^x  + c

Step-by-step explanation:

∫e^x  dx   -  ∫e^-x dx

= e^x - -e^-x

= e^x + e^-x

= e^-x + e^x + c

Answer:

The number can be expressed in multiple forms

Fraction form \(x=\frac{2962}{67}\)  or decimal form  \(x=44.21\)

Step-by-step explanation:

Lets break the problem down

"times" is multiplication *

The difference between 2 numbers is subtraction  \((x-y)\)

A number plus a number is addition \(x+y\)

\(68(x-45)=x+-98\)

Lets solve for \(x\).

Lets start on the left side.

Distribute 68 to the terms inside the parenthesis.

\(68x-3060=x+-98\)

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

\(68x-3060=x-98\)

Subtract \(x\) from both sides of the equation.

\(68x-3060-x=-98\)

Subtract \(x\) from \(68x\).

\(67x-3060=-98\)

Add 3060 to both sides of the equation.

\(67x=2962\)

Divide both sides of the equation by 67.

\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)

The solution of the inequality on the number line, corresponding to the numbers that are to the right of g = 7, with a closed interval, is given by the image presented at the end of the answer.

The inequality for this problem is defined as follows:

g ≥ 7.

The ≥ symbol means that the solution is composed by the numbers that are greater than g = 7, with the equal sign representing that g = 7 is also a part of the solution of the inequality.

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Answer:

We have 20% fruit juice and 70% fruit juice.

We need 60 pints of 35% fruit juice.

We set up 2 equations where t is 20% and s is 70%

t + s = 60 pints

.20t + .70s = (.35 * 60)

We solve for both unknowns

t = 42  s = 18

We need 42 pints of 20% and 18 pints of 70 %

**** DOUBLE CHECK *******************************

42 pints of 20% = 8.40 pints of juice 33.6 pints water

18 pints of 70% = 12.60 pints of juice 5.40 pints water

TOTAL mixture = 21 pints juice 39 pints water = 60 total pints

21 pints juice / 60 = .35 (or 35% fruit juice)

Correct !!!

Step-by-step explanation:

Answer:

a) quad 3

b) y-axis

c) quad 4

d) quad 2

e) quad 1

f) x-axis

First, to compute the mean value we use the following formula:

The mean is 167.

To find the median we order the numbers from lowest to highest: 15, 65, 75, 90, 95, 110, 140, 185, 195, 215, 250, 255, 260, 270, 285.

The median of the data set is 185.

Finally, notice that no number is repeated so there is no mode. The answer is DNE.

Answer:

Im pretty sure its B,  1.75. Not exactly sure though

Step-by-step explanation:

Answer:

\(\boxed{\sf A. \ 0.34}\)

Step-by-step explanation:

The first triangle is a right triangle and it has one acute angle of 70 degrees.

We can approximate \(\sf \frac{WY}{WX}\) from right triangle 1.

The side adjacent to 70 degrees is WY. The side or hypotenuse is WX.

The side adjacent to 70 degrees in right triangle 1 is 3.4. The side or hypotenuse is 10.

\(\sf \frac{3.4}{10} =0.34\)

Answer:

4/3 square feet.

Step-by-step explanation:

To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:

Area of dilated figure = Area of original figure x (Scale factor)^2

In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:

Area of replica = 12 x (1/3)^2

Area of replica = 12 x 1/9

Area of replica = 4/3

So, the area of the replica is 4/3 square feet.

Hope this helps :)