with solution steps and laws/theorems used please 21.
Simplify the Boolean Expression F = (X+Y) . (X+Z)

Answer:

d)rotation then reflection

Step-by-step explanation:

Answer:

D) rotation, then reflection

There are 8 different ways to choose the leadership of the tribe.

To calculate the number of different ways to choose the leadership of the tribe, we need to consider the hierarchy and the number of positions to be filled.

First, we have one chief position. There is only one chief, so there is only one way to choose the chief.

Next, we have two supporting chief positions (supporting chief a and supporting chief

b). Since each supporting chief position can be filled independently, there are 2 ways to choose the supporting chiefs.

Lastly, for each supporting chief, we have two inferior officer positions. Since each supporting chief position has two inferior officer positions, there are 2 ways to choose the inferior officers for each supporting chief.

Therefore, the total number of different ways to choose the leadership of the tribe is calculated by multiplying the number of choices for each position:

1 (chief) * 2 (supporting chiefs) * 2 (inferior officers for each supporting chief) * 2 (inferior officers for the other supporting chief).

Multiplying these values together, we get: 1 * 2 * 2 * 2 = 8.

So, there are 8 different ways to choose the leadership of the tribe.

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After answering the provided question, we can conclude that " Congruent means having the same shape and size, but this is unnecessary because the polygon is already defined as regular.

A polygon is a two-dimensional making change by connecting three or more locations in a closed loop. Polygons encompass triangles, tetrahedral, pentagons, hexagons, and other shapes. Polygons are a basic geometric concept that is used to describe and analyse many real-world shapes and structures, including buildings, layouts, and computer graphics. Polygons are studied for their qualities such as perimeter, area, angles, but also symmetry.

The polygon in the image appears to have equal side lengths and equal angles, indicating that it is equilateral (all sides are equal length), equiangular (all angles are equal measure), and regular (both equilateral and equiangular). As a result, the correct option for fully describing the polygon is "equilateral, equiangular, and regular." Congruent means having the same shape and size, but this is unnecessary because the polygon is already defined as regular.

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The symbol in a chemical equation that separates the reactants from the products is →

A chemical equation is represented as:

A + B → C + D

Where A and B are the reactants, and C and D are the products.

The symbol → links the reactants with the products

Hence, the symbol that separates the reactants from the products is →

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Answer:

→

Step-by-step explanation:

edge 2022

The simplified expression of (2^3×2^4) is 2^7

The expression is given as

(2^3×2^4)

The base of the above expression are the same

i.e. Base = 2

This means that we can apply the law of indices

When the law of indices is applied, we have the following equation:

(2^3×2^4) = 2^(3 + 4)

Evaluate the sum in the above equation

So, we have

(2^3×2^4) = 2^7

Hence, the simplified expression of the expression given as (2^3×2^4) is 2^7

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Answer:

697.45

Step-by-step explanation:

interest for the first year = 13.5 % of 580 = 78.3

for 0.5 year, it will be 78.3 /2 =39.15

1year + 0.5 year = 78.3 + 39.15= 117.45

add that to borrowed amount to get total amount paid

117.45+ 580= 697.45

The probability of getting a number that is greater than four is G. 0.33

Probability:

Probability defines the possible occurrence of the selected event across the total number of events.

Given,

A die is rolled.

And we need to find the probability of rolling a number greater than 4.

If you roll a single die there are 6 possible outcomes  are

=> {1,2,3,4,5,6}

So, the numbers that are greater than 4 are,

=> 5 and 6.

So, there are 2 of which are greater than 4.  

So in a single roll the probability of getting a number greater than 4 is

=> 2/6

=> 1/3.  

For the decimal form it can be written as,

=> 0.33.

So, the correct option is G. 0.33.

Therefore, the probability of getting the number greater than 4 is 0.33.

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Answer:

(1,0)

PLEASE mark me brainliest!!

Answer:

1, 0

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

trust mehhhh

9514 1404 393

Answer:

  D.  (1, 3.5)

Step-by-step explanation:

The midpoint formula is useful.

  M = (E + F)/2 = ((5, -1) +(-3, 8))/2 = (5 -3, -1+8)/2 = (2, 7)/2

  M = (1, 3.5)

The midpoint is (1, 3.5), matching choice D.

_____

If you plot the offered answers on a graph, the correct one becomes clear. It will not have an x-coordinate of 4, and it will not have a negative y-coordinate.

Answer:

C

Step-by-step explanation:

It is basically acting as a mirror.  That is what it means by reflection.

Answer:

I think it's D

Step-by-step explanation:

Answer:17cm 5 cm°Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Of course you have to graph the two points to find out the answer.

Then you count the units or squares to find out how far they are.

So it was basically 6 units to the right and 4 units up :)

Hope this helped plz mark brainliest :))

Answer:

Population of town in 2020 = 4626 (Approx.)

Step-by-step explanation:

Given:

Population of town in 2000 = 12,910

Decrease rate = 5% = 0.05 yearly

Find:

Population of town in 2020

Computation:

Number of year = 20 years

Population of town in 2020 = Population of town in 2000[1-r]ⁿ

Population of town in 2020 = 12,910[1-0.05]²⁰

Population of town in 2020 = 12,910[0.95]²⁰

Population of town in 2020 = 12,910[0.3584]

Population of town in 2020 = 4625.944

Population of town in 2020 = 4626 (Approx.)

Answer:

The population is 4628.

Step-by-step explanation:

Population in 2000 = 12910

Rate of decrease = 5 %

Time, t = 2020 - 2000 = 20 years

Let the population is P.

Use the formula

\(P = Po\left ( 1-\frac{r}{100} \right )^t\\\\P = 12910\left ( 1-0.05 \right )^2\\\\P = 4628\)

Answer:

3075

Step-by-step explanation:

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Using similar triangles, it is found that the measure of angle B is of 74º.

Similar triangles are triangles that have the same angle measures, and whose side lengths are proportional.

In this problem, the triangle ABC was translated, resulting in triangle A'B'C'. A translation does not change the measures of the angles, hence their angles are given as follows:

80º, 26º and B.

The sum of the internal angles of a triangle is of 180º, hence:

80 + 26 + B = 180

B = 74º.

The measure of angle B is of 74º.

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14y-8=13

We add 8 on both sides to cancel it out and add it to 13.

14y-8=13

    +8  +8

14y=21

Now we divide 14 on both sides to cancel it out, separate it from the y, and to divide it from 21.

14y=21

/14  /14

y=1.5

---

hope it helps

Answer:

Add 8 to both sides of the equation to get 14y=21

Divide both sides of the equation by 14 to get y= 1.5

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL

= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )

= 3 + 11i + 20 - 2 + i ← collect like terms

= 21 + 12i

Answer:

The answer is

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

Expand the terms in the bracket first

That's

3 + 15i - 4i - 20i² - ( 2 - i)

Remove the bracket

3 + 15i - 4i - 20i² - 2 + i

Group like terms

- 20(-1) + 15i - 4i + i + 3 - 2

15i - 4i + i + 20 + 3 - 2

Simplify

We have the final answer as

Hope this helps you

Answer:

£23490

Step-by-step explanation:

deposit made = 10% of 234900 = £23490

Answer:Therefore, the range is 32 and the standard deviation is approximately 10.523 for the given data set.

Step-by-step explanation:To calculate the range and standard deviation for the given data set {40, 65, 33, 46, 55, 50, 61}, we can follow these steps:

Step 1: Find the range.

The range is calculated by subtracting the minimum value from the maximum value in the data set.

Range = Maximum value - Minimum value

Range = 65 - 33

Range = 32

Step 2: Calculate the mean.

The mean is calculated by summing up all the values in the data set and dividing by the total number of values.

Mean = (40 + 65 + 33 + 46 + 55 + 50 + 61) / 7

Mean = 350 / 7

Mean = 50

Step 3: Calculate the deviation for each value.

Deviation is calculated by subtracting the mean from each value in the data set.

Deviation for 40 = 40 - 50 = -10

Deviation for 65 = 65 - 50 = 15

Deviation for 33 = 33 - 50 = -17

Deviation for 46 = 46 - 50 = -4

Deviation for 55 = 55 - 50 = 5

Deviation for 50 = 50 - 50 = 0

Deviation for 61 = 61 - 50 = 11

Step 4: Square each deviation.

Squared deviation for -10 = (-10)^2 = 100

Squared deviation for 15 = 15^2 = 225

Squared deviation for -17 = (-17)^2 = 289

Squared deviation for -4 = (-4)^2 = 16

Squared deviation for 5 = 5^2 = 25

Squared deviation for 0 = 0^2 = 0

Squared deviation for 11 = 11^2 = 121

Step 5: Calculate the variance.

Variance is calculated by summing up all the squared deviations and dividing by the total number of values.

Variance = (100 + 225 + 289 + 16 + 25 + 0 + 121) / 7

Variance = 776 / 7

Variance ≈ 110.857

Step 6: Calculate the standard deviation.

The standard deviation is the square root of the variance.

Standard Deviation ≈ √110.857

Standard Deviation ≈ 10.523

If 40% of a number is equal to two-thrid of another number, the ratio of first number to the second number is

Let's say the first number is "x" and the second number is "y".

We can translate the problem into an equation:

40% of x = 2/3 of y

or

0.4x = (2/3)y

We can simplify this equation by multiplying both sides by 5 to get rid of the decimal:

2x = (10/3)y

Now we can solve for the one variable in terms of the other:

x = (5/3)y

So the ratio of first number to the second number will be:

x:y = 5:3

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Answer:

11x−2

Step-by-step explanation:

It's called Math

way :)

Answer:

11x-2

Step-by-step explanation:

Answer:

Hi,

Step-by-step explanation:

(13,7,4) may not be a triangle since 13 is not little than 7+4=11
(7,10,8,) may be a triangle (7 < 10+8 , 10 < 7+8,  8 < 10+7)

(9,4,4) no since 9 is not < 4+4

(2,8,12) no since 12 is not < 2+8

The only answer is (7,10,8)

The formula for the tangent line to f(x) = ln(x) at x = 2 is: y = (1/2)(x - 2) + ln(2)

The tangent represents the supplied function's instantaneous rate of change at a location.

The slope of the tangent at a location equals the function's derivative at the same position. The tangent slope of a function y = f x is d y d x.

The tangent and normal equations may be determined using the coordinate geometry formal of point-slope form.

The tangent equation is (y - y1) = m(x - x1), while the normal equation, passing through this same point and perpendicular to the tangent, is (y - y1) = -1/m (x - x1).

The formula for the tangent line to the function f(x) = ln(x) at x = 2 is given by:

y = f'(2)(x - 2) + f(2)

Plugging in the value f'(2) = 1/2 and f(2) = ln(2), we get:

y = (1/2)(x - 2) + ln(2)

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The future value of the annuity is $10,602.40, $10,602.40 and the present value of the annuity is -$18,602.40 and -$18,602.40 using Algebraic Method.

Q-1: Using the Algebraic Method, the future value of an annuity can be calculated using the formula:

FV = R × [{(1 + i) n - 1} / i]

Where FV = Future value,

R = regular deposit or periodic payment,

i = interest rate per period,

n = number of periods.

In this case, the deposit or periodic payment is $1000, the interest rate per period is 4% (since the rate is 8% compounded semiannually), and the number of periods is 4. The total number of payments is 2 payments per year for 2 years. Therefore, there are 4 periods.

FV = $1000 × [{(1 + 0.04) 4 - 1} / 0.04]=FV = $1000 × [{(1.04) 4 - 1} / 0.04]

FV = $1000 × [{1.1699 - 1} / 0.04]=FV = $1000 × [0.4241 / 0.04]

FV = $1000 × 10.6024=FV = $10,602.40

Therefore, the future value of the annuity using the Algebraic Method is $10,602.40.

Q-2: Using the Ordinary Simple Annuities Formula, the future value of an annuity can be calculated using the formula:

FV = R × {[(1 + i) n - 1] / i}

In this case, the deposit or periodic payment is $1000, the interest rate per period is 4% (since the rate is 8% compounded semiannually), and the number of periods is 4. The total number of payments is 2 payments per year for 2 years. Therefore, there are 4 periods.

FV = $1000 × {[(1 + 0.04) 4 - 1] / 0.04}=FV = $1000 × {[1.1699 - 1] / 0.04}=FV = $1000 × [0.4241 / 0.04]

FV = $1000 × 10.6024=FV = $10,602.40

Therefore, the future value of the annuity using the Ordinary Simple Annuities Formula is $10,602.40.

Q-3: Using the Algebraic Method, the present value of an annuity can be calculated using the formula:

PV = R × [1 - {(1 + i) -n} / i]

Where PV = Present value,

R = regular deposit or periodic payment,

i = interest rate per period,

n = number of periods.

In this case, the deposit or periodic payment is $1000, the interest rate per period is 4% (since the rate is 8% compounded semiannually), and the number of periods is 4. The total number of payments is 4.

FV = $1000 × [1 - {(1 + 0.04) -4} / 0.04]=PV = $1000 × [1 - {0.7441} / 0.04]=PV = $1000 × (1 - 18.6024)

PV = -$18,602.40

Therefore, the present value of the annuity using the Algebraic Method is -$18,602.40.

Q-4: Using the Present Value of Ordinary Simple Annuities Formula, the present value of an annuity can be calculated using the formula:

PV = R × {1 - [(1 + i) -n] / i}

In this case, the deposit or periodic payment is $1000, the interest rate per period is 4% (since the rate is 8% compounded semiannually), and the number of periods is 4. The total number of payments is 4.

FV = $1000 × {1 - [(1 + 0.04) -4] / 0.04}=PV = $1000 × {1 - [0.7441] / 0.04}=PV = $1000 × (1 - 18.6024)

PV = -$18,602.40

Therefore, the present value of the annuity using the Present Value of Ordinary Simple Annuities Formula is -$18,602.40.

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Answer:

The answer is 4 because the difference of two numbers is 4.

Answer:

The correct answer is:

Matthew's rate is higher by $50 per month.

Step-by-step explanation:

We know that Christopher's rate is $550 per month.

To find Matthew's rate, we will treat the data we have as ordered pairs:

(3, 1800)

(6, 3600)

(9, 5400)

We find the slope of the line between these points.  The formula for slope is:

Using the first two points, we have:

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

Matthew's rate is $600 per month.

This is higher than Christopher's by 600-550=$50 per month.

Answer:

I think it's C. 0

Step-by-step explanation:

On Edge