The integer number that represents the submarine's depth is given as follows:
-460.
What are integer numbers?Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.
The concepts of height and depth are given as follows:
Height is above the sea level, hence it is represented by positive integers.Depth is above the sea level, hence it is represented by negative integers.A submarine in the middle of the ocean at a depth of 115 feet, hence the integer that represents the initial depth is given as follows:
-115.
The submarine dived to a depth that is four times the initial depth, hence the integer that represents the final depth is given as follows:
4 x -115 = -460.
(meaning that the final depth of the submarine is of 460 feet).
More can be learned about integer numbers at brainly.com/question/17695139
#SPJ1
Consider the number . what happens when z is raised to successively increasing powers? use the drop-down menus to complete each sentence. the modulus increases by a factor of . the argument increases by π over 3.
The modulus increases by a factor of 10 and the argument increases by 5π/3.
Modulus of the complex number:
The modulus of a complex number is the square root of the sum of the squares of the complex number's real and imaginary parts. If z is complex, the absolute value of complex z is given by √{[Re(z)]2 + [Im(z)] and denoted by |z|. exclusive. The absolute value of a complex number z = a + ib is the distance between the origin (0, 0) of the complex plane and the point (a, b). The modulus of a complex number is a distance, so its value is always non-negative.
The absolute value of a complex number z = x + iy denoted by |z| is given by the formula |z|. Given = √(x2 + y2), where x is the real part of the complex number z and y is the imaginary part. The modulus of a complex number z can also be computed using the conjugate of z. Since
z. z = (x+ iy)(x −iy)
=x²+y² , we have
z. z = |z|²
⇒ |zI =√z. z.
Then,
The modulus of the z will be =|z|= √p²+q²
We have,
z = 5 – 5i √3
So,
Now rewrite this given equation in the form of z = r(Cosθ + iSinθ),
For this first calculate the modulus,
|Z| = √((5√3)² + 5²)
|Z| = √(25×3 + 25)
|Z| = √(100) = 10
And,
Argument, θ = tan⁻¹ (b/a)
θ = tan⁻¹ (5√3/5)
θ = tan⁻¹ (√3)
θ = 71
Therefore, the modulus increases by a factor of 10, and the argument increase by 5π/3.
Learn more about Modulus :
https://brainly.com/question/10737199
#SPJ4
Answer:
The modulus increases by a factor of ✔ 10.
The argument increases by ✔ 5π over 3
Step-by-step explanation:
correct on edge 2023
A piece of paper is folded into thirds multiple times. The area, A, of the piece of
paper in square inches, after n folds, is A=90(1/3)^n.
How many folds are needed before the area is less than 1 square inch?
The paper is folded into 5 folds before the area is less than 1 square inches.
What is area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Here the area of the folded paper after n folds is,
A = 90[tex](\frac{1}{3})^n[/tex]
Now put n=0 into given formula,
A = 90[tex](\frac{1}{3})^0[/tex]=90×1 = 90 square inches.
Here Area of the paper before being fold is 90 square inches.
Now area is less than 1 square inches then
=> 90[tex](\frac{1}{3}) ^n[/tex] < 1
=> [tex](\frac{1}{3}) ^n < \frac{1}{90}[/tex]
Here if n= 4 then [tex](\frac{1}{3}) ^4 > \frac{1}{90} = \frac{1}{81} > \frac{1}{90}[/tex] then n=5.
Hence the paper is folded into 5 folds before the area is less than 1 square inches.
To learn more about area refer the below link
https://brainly.com/question/20110859
#SPJ1
What is logically equivalent example?
Two statements are logically equivalent if they have the same truth value in all possible circumstances, meaning that they are either both true or both false in any given context.
For example, the statement "All dogs are mammals" is logically equivalent to the statement "All non-mammals are not dogs." Although the statements use different words and phrasing, they convey the same information and are both true.
Another example would be the statement "x>2" is logically equivalent to the statement "x>=3" because they both would have the same solutions.
Logical equivalence is important in logical reasoning, proof and in computer science where it is used to determine if two statements are logically equivalent which leads to simplify the boolean expressions.
To know more on logically equivalent statement
https://brainly.com/question/13278160
#SPJ4
If you buy 3 CD’s at the original cost of 9.99 but you have a 10% off coupon and the sales tax is 6% what is your total
A frictionless pendulum is pulled 3 feet to one side of its center resting point…
A. The amplitude of the sinusoidal function 's' would increase.
B. The midline of the sinusoidal curve will upshift.
What is a periodic function?A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.
We know the moving mechanism of the pendulum can be graphed as a periodic function.
A. If the pendulum is pulled farther away from its resting point it will reach a greater height on both sides this would have an effect of an increase in the amplitude of the sinusoidal curve.
B. If the pendulum is pulled farther away from its resting point the midline of the sinusoidal curve would move up along the y direction as a result of an increase in magnitude.
learn more about periodic functions here :
https://brainly.com/question/29739212
#SPJ1
Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four points to lower their rate to 4. 81%. How much will the four points cost them?
The cost of the four points will be $8296.8496
What is simple interest?A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
$ 128,000 is the amount financed (P).
t = 15 years
The interest rate equals 5.05%.
Amount after 15 years equals,
A = [tex]P(1+\frac{r}{100}[/tex]
=128,000[tex](1+\frac{5.05}{100} )^{15}[/tex]
=268009
Rose and Andrew has taken four points to lower their rate to 4.81% .
A =128,000 [tex](1+\frac{4.81}{100} )^{15}[/tex]
A = 259,713
Cost of four points = 268,009.890 - 259,713.040 = $8296.8496
Hence, the cost of the four points will be $8296.8496
To learn more about simple interest visit:
brainly.com/question/20690803
#SPJ4
Joanne works two jobs to pay for college. She tutors for $25 per hour and also works as a receptionist for $12 per hour. Due to her class and study schedule, Joanne is only able to work up to 25 hours per week, but must earn at least $200 per week. If t represents the number of hours Joanne tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario?
A. t + r >= 25
25t + 12r = 200
B. t + r <= 25
25t + 12r <= 200
C. t + r <= 25
25t + 12r >= 200
D. None of the systems shown represent this scenario.
The required system of inequality will be
t + r ≤ 25
25t + 12r ≥ 200
What is system of equations?
A set or group of equations that are solved together is referred to as a system of equations. Both algebraic and graphic solutions are possible for these equations. The intersection of two lines represents the system of equations' solution.
If 't' represents the number of hours Joanne tutors and 'r' represents the number of hours she works as a receptionist.
Then the total hours she can work = t + r
Since she can work up to 25 hours.
Thus t + r ≤ 25
If she earns $25 per hour by tuition and $ 12 per hour by working as a receptionist .
Then her total earning = $25t + 12r
Since she must earn $200.
Then 25t + 12r ≥ 200
Hence, the required system of inequality will be
t + r ≤ 25
25t + 12r ≥ 200
To know more about system of inequalities, click on the link
https://brainly.com/question/2193461
#SPJ4
Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a,a^2,a^3,\ldots,a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots,p-1\pmod p$.For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and this list contains every residue from $1$ to $4$ exactly once.However, $4$ is not a primitive root $\pmod 5$ because $\{4,4^2,4^3,4^4\}\equiv\{4,1,4,1\}\pmod 5$, and this list does not contain every residue from $1$ to $4$ exactly once.What is the sum of all integers in the set $\{1,2,3,4,5,6\}$ that are primitive roots $\pmod 7$
Only 3 & 5 from the set {1,2,3,4,5,6} are primitive root (mod7), therefore, sum of integers is 3 + 5 = 8.
What is primitive root?A number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n in modular arithmetic. That is, g is a primitive root modulo n if for every integer a coprime to n, some integer k for which gk ≡ a (mod n).
The index or discrete logarithm of a to the base g modulo n is a value k like this. So, if and only if g is a generator of the multiplicative group of integers modulo n, g is a primitive root modulo n.
In Article 57 of his Disquisitiones Arithmeticae (1801), Gauss defined primitive roots and credited Euler with coining the term.
Learn more about primitive root
https://brainly.com/question/30049990
#SPJ4
Given g(x) = -4x - 4, find g(-2).
Answer:
4
Step-by-step explanation:
SolutionThis question basically asks you to substitute the value of x to find the value of function g(x).
Given x = -2,
g(-2) = -4(-2) - 4 = 8 - 4 = 4
Answer:
4
Step-by-step explanation:
g(x) = -4x - 4
Let x = -2
g(-2) = -4(-2) - 4
= 8 -4
=4
#1: The equation below describes the relationship between
the number of months (x) since a customer began renting a
storage unit and the total amount of money (y), in dollars, the
customer has paid to the storage facility.
`y=20x+35
Which statement describes a solution of the equation based
on the number of months the customer has rented the storage
unit?
A. After exactly 355 months, the customer has paid $16.
B. After exactly 16 months, the customer has paid $355.
C.After exactly 320 months, the customer has paid $16.
D.After exactly 16 months, the customer has paid $320.
The correct option for the given linear equation is option (B).
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is always 1. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
The given equation is y =20x + 35
y = total amount of money
x = number of months the customer has been renting the storage unit
A) If x = 355
y = 20 * 355 + 35 = $7135
This is not the correct option.
B) If x = 16
y = 20*16 + 35 = $355
This is the correct option.
C) if x = 320
y = 20 * 320 + 35 = $6435
This is not the correct option.
D) If x = 16
y = 20*16 + 35 = $355
This is not the correct option.
Therefore the correct option for the given linear equation is option (B).
To learn more about linear equations, follow the link.
https://brainly.com/question/2030026
#SPJ1
(b) If the radius of wheel is 7cm, how far it travels in three rotation
The wheel will travel 131.8cm in 3 rotations.
The radius of the wheel, r = 7cm
Number of rotations, n= 3
distance covered in 1 rotation= circumference of circle=2πr
distance covered in 3 rotation= 2πr x 3
where π=3.14(fixed)
=2 x 3.14 x 7 x 3
Distance=131.88cm
Therefore, the distance covered in 3 rotations is 131.88cm
To learn more about rotation visit:
https://brainly.com/question/24463763
Answer:
132cm
Step-by-step explanation:
use formula 22/7 *diameter which is 7*2 getting the answer as 44.For three rotations multiply the answer by three
: Find the pherical coordinate of the point whoe rectangular coordinate are
(-2, 2√3,4)
The spherical coordinates of the point are (r, θ, φ) = (4√2, -60°, 45°).
What is a peripheral coordinate?
A peripheral coordinate is a set of three coordinates (r, θ, φ) that describes the position of a point in space in relation to a fixed origin. r is the distance from the origin to the point, θ is the angle between the positive x-axis and the projection of the point onto the xy-plane, and φ is the angle between the positive z-axis and the line connecting the point to the origin.
To find the spherical coordinates of a point whose rectangular coordinates are (-2, 2√3,4), we can use the following formulas:
[tex]r=\sqrt{(x^2 + y^2 + z^2)} = \sqrt{((-2)^2 + (2\sqrt3)^2 + 4^2)} = \sqrt{(4 + 12 + 16)} = \sqrt32 = 4\sqrt2[/tex]
θ = [tex]tan^{-1}(y/x) = tan^{-1}(2\sqrt3/(-2)) = tan^{-1}((-\sqrt3)/1) = -60^o[/tex]
φ = [tex]cos^{-1}(z/r) = cos^{-1}(4/4\sqrt2) = cos^{-1}(1/\sqrt2) = \degree 45 ^o[/tex]
So, the spherical coordinates of the point are (r, θ, φ) = (4√2, -60°, 45°).
To learn more about the spherical coordinate, visit:
https://brainly.com/question/29555384
#SPJ4
The spherical coordinates of the point are (r, θ, φ) = (4√2, -60°, 45°).
What is a peripheral coordinate?
A peripheral coordinate is a set of three coordinates (r, θ, φ) that describes the position of a point in space in relation to a fixed origin. r is the distance from the origin to the point, θ is the angle between the positive x-axis and the projection of the point onto the xy-plane, and φ is the angle between the positive z-axis and the line connecting the point to the origin.
To find the spherical coordinates of a point whose rectangular coordinates are (-2, 2√3,4), we can use the following formulas:
[tex]r=\sqrt{x^2+y^2+z^2} = \sqrt{(-2)^2+(2\sqrt{3})^2+4^2}=4\sqrt{2}[/tex]
θ = [tex]tan^{-1}(y/x)=tan^{-1}(2\sqrt{3}/(-2))=60^o[/tex]
φ = [tex]cos^{-1}(z/r)=tan^{-1}(4/4\sqrt{4})=45^o[/tex]
So, the spherical coordinates of the point are (r, θ, φ) = (4√2, -60°, 45°).
To learn more about the spherical coordinate, visit:
brainly.com/question/29555384
#SPJ4
5.BC is the diameter of the semicircle.The area of rectangle ABCD is 20 and the length of line AB is 5.What is
the area of the semicircle?
The area of the semicircle is, 6.28 unit².
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
BC is the diameter of the semicircle.
And, The area of rectangle ABCD is 20 and the length of line AB is 5.
Now, We have;
The area of rectangle ABCD is 20 and the length of line AB is 5.
Let the width of rectangle = x
So, We can formulate;
⇒ 20 = x × 5
⇒ x = 4
Here, the width of rectangle is the diameter of the semicircle.
So, The radius of semicircle = 4 / 2
= 2 units
We know that;
Area of semicircle = π r
Where, 'r' is radius of semicircle.
Hence, We get;
⇒ Area of semicircle = π r
⇒ Area of semicircle = 3.14 × 2
= 6.28 unit²
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ1
PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS
Answer:
F and C
Step-by-step explanation:
CUZ AAS means angle angle side
Answer:
see explanation
Step-by-step explanation:
for the triangles to be congruent by the angle- side- angle (ASA postulate )
if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle ( included side is the side between the vertices of the two angles ) , then the triangles are congruent.
given
∠ B ≡ ∠ D and AB ≡ PD
then the included sides are AB and PD
the other 2 angles for congruency are ∠ A ≡ ∠ P
-----------------------------------------------------
By the AAS postulate
If two angles and a non included side of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent
for AAS then ∠ C ≡ ∠ F
A photographer takes 12 different photographs. There are 3 sunsets, 4 oceans, and 5 mountains.
How many possible arrangements are there if all the photographs of the mountains are next to each other?
Answer:
4838400 arrangements--------------------------------------------------
Permutation of 5 mountain photographs:
P(5, 5) = 5! = 120Since all are next to each other, the mountain photographs count as one item along with the other 3 + 4 = 7 photographs and therefore the permutation for this is:
P(8,8) = 8! = 40320Total arrangements is:
120*40320 = 4838400find value of m
[tex] {m}^{2} + 35 = 240 \div (12 \div 3)[/tex]
Answer:
5 ( or ) - 5
Step-by-step explanation:
12/3 = 4
240/4 = 60
m² + 35 = 60
m² = 60 - 35
m² = 25
m = - 5 ( or ) 5
Because,
( - 5 )² = - 5 * - 5 = 25
5² = 5 * 5 = 25
What is the image of ( 12 , − 4 ) (12,−4) after a dilation by a scale factor of 1 4 4 1 centered at the origin?
What is the image of ( 12 , − 4 ) after a dilation by a scale factor of 1/4 centered at the origin is (3, -1)
What is transformation?Transformation is the movement of a point in the coordinate plane. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease of a figure by a scale factor k. If the value of k > 1, then it is an enlargement but if k < 1, it is a reduction.
The point (12, -4) is dilated by a scale factor of 1/4 using the rule (x, y) ⇒ (x/4, y/4). The new point is (4, -1)
Find out more on transformation at: https://brainly.com/question/4289712
#SPJ1
If it takes 9 hours to travel from North Carolina to Florida driving an
average speed of 55 mph, about how long will it take to travel from North
Carolina to Florida driving an average speed of 70 mph?
Time taken to travel from North Carolina to Florida driving an average speed of 70 mph is 7 hours.
What is the typical speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.
Given,
Time taken to travel = 9hours
average speed =55 mph
distance between North Carolina to Florida = speed x distance
distance= 55 x 9
distance= 495 miles
if driving at speed of 70 mph
time taken = distance/speed
time taken=495/70
time taken=7 hours
To know more about average speed visit:-
brainly.com/question/2004627
#SPJ1
Drag each label to the correct location on the net. Each label can be used more than once, but not all labels will be used.
Identify the dimensions of the net that will give a surface area of 48 sq cm. The area of each part of the net is shown in the figure.
As a result, the response to the query that the area provided With interiors of 32 and 44 square feet, respectively, the future complex will consist of a 60.1-foot circular.
Describe the Area.Finding out how big a rectangle or rectangle is is the simplest (and most used) method. Divide the width by the altitude to find the area of a rectangle. Since all sides of a square are equal in length, determining the area of unit only requires knowledge of the size of one of its sides.
Here,
Here is the formula for area:
The area formula is length times width.
=> 8 × 4
= >32ft²
Following space will be on the trapezoid:
=>(14 + 18)/2 × 4
=> 44ft²
By multiplying the measurement by two, the perimeter will indeed be determined. Knowing this,
= 2(8 + 4) + (14 + 8 + 4 + 5.6 + 4.5)
= 24 + 36.1
= 60.1 ft
In light of this, the answer to the area-related question is
For the specified polygon, 60.1 square feet.
To know more about area , visit
brainly.com/question/27683633
#SPJ1
Which expression is equivalent
Answer:
10^14
Step-by-step explanation:
The expression (10^2)^7 uses an exponent rule known as power raised to a power.
The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:
[tex](a^m)^n\\a^m^n[/tex]
Thus, we have
[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]
1. a room has dimensions 15m by 9m by 12m the dimensions of its
scale model is 5m by
3m by 4m what is the ratio of the dimensions of the actual room to that of the scale
model
2. the ratio of the dimensions of the scale model to that of the
actual object s 1:16 the length and width of the actual object are
2.4m and 1.8m respectively
Answer: To find the ratio of the dimensions of the actual room to that of the scale model, we can divide the dimensions of the actual room by the dimensions of the scale model.
The dimensions of the actual room are 15m by 9m by 12m, and the dimensions of the scale model are 5m by 3m by 4m.
Therefore, the ratio of the dimensions of the actual room to that of the scale model is:
length: 15m / 5m = 3 : 1
width: 9m / 3m = 3 : 1
height: 12m / 4m = 3 : 1
So, the ratio of the dimensions of the actual room to that of the scale model is 3:1 for all dimensions (length, width, and height)
The ratio of the dimensions of the scale model to that of the actual object is 1:16
so to find the length and width of the actual object, you can use this relation
length = scale model length * 16 = 2.416 = 38.4m
width = scale model width * 16 = 1.816 = 28.8m
So the length and width of the actual object are 38.4m and 28.8m respectively.
Step-by-step explanation:
Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble? Choose 1 answer:
The probability best prediction for the number of times that Ellen will draw a blue marble is 200.
Number of blue marbles: 222
Number of red marbles: 333
Total number of marbles: 555
Probability of drawing a blue marble:
222/555
= 0.4
Number of times drawing a blue marble:
300300300 x 0.4
= 120,120,120
Rounded to nearest whole number:
120,120
Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. The best prediction for the number of times that Ellen will draw a blue marble is 200. This prediction is based on the fact that there are more red marbles than blue marbles in the bag. To calculate this, we first need to determine the probability of drawing a blue marble; there are 222 blue marbles out of 555 total marbles, so the probability is
222/555
= 0.4.
Multiplying this by the total number of draws (300300300) gives us 120,120,120. Rounding this to the nearest whole number gives us our prediction of 200 times.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
Someone help please, picture attached
Answer:
6
Step-by-step explanation:
x² + 8² = 10²
x² + 64 = 100
x² = 36
x = 6
The sides of a triangle are 68, 61, and 46. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
Answer: Acute
Step-by-step explanation:
The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex]. A and b are legs while c is hypotenuse. Hypotenuse is also the longest side. Let's plug them in and see if they are equal to each other.
[tex]46^2+61^2=68^2[/tex] [exponent]
[tex]2116+3721=4624[/tex] [add]
[tex]5837\neq4624[/tex]
Since they are not equal, then it is not a right triangle.
To tell is a triangle is acute, if the sum of the two shorter sides squared is greater than the longest side squared, then the triangle is acute.
At the end of the Pythagorean Theorem, we got 5837≠4624. 5837>4624, so that tells us that the triangle is acute.
what is the product of 69 and 5.6 x 10^5 expressed in scientific notation
[tex](69)(5.6\times 10^{5})\implies (69)(560000)\implies 3\underset{\leftarrow 7\to }{\underline{8640000}}\implies 3.864\times 10^{7}[/tex]
what is 8 1/4/d=2/11
[tex]8\frac{1}{4}d =\frac{2}{11}[/tex]
a) Simplify both sides of the equation.
[tex]\frac{33}{4}d=\frac{2}{11}[/tex]
b) Multiply both sides by 4/33.
[tex](\frac{4}{33} ) \times (\frac{4}{33}d)=(\frac{4}{33}) \times (\frac{2}{11} )\\[/tex]
d = [tex]\frac{8}{363}[/tex]
[tex]8\frac{1}{4} \div d=\frac{2}{11}[/tex]
= [tex]\frac{33}{4d} =\frac{2}{11}[/tex]
a) Cross Multiply.
[tex](33)\times(11)=2\times 4d[/tex]
[tex](363) =8d[/tex]
b) Flip.
[tex]8d=(363)[/tex]
c) Divide both sides by 8
[tex]\frac{8d}{8} = \frac{363}{8}[/tex]
[tex]d=\frac{363}{8}[/tex]
I want to solve the math problem
Answer:
Here are a few of the factor pairs. The rest you can find in the pdf below.
Please help! Determine the coordinates of the transformation and plot the image for Rx Axis of the triangle ABC
Answer:
Step-by-step explanation:HI
You got answer already?
Just , look down as in rectangle A" (-6,1)
B"(-1,-3)
C"(-4, 4)
And you have wrong coordinates for C (-4,-4)
How many permutations are there of all the letters in each name?
a) Inverary
b) Beamsville
c) Mattawa
d) Penetanguishene
Permutations for each word can be calculated by considering the number of unique letters in it and taking factorial of it.
a) Inverary: There are 8 letters in the name "Inverary" (I, N, V, E, R, A, R, Y), so there are 8! (8 factorial) permutations of all the letters in the name. This equals 40320 permutations.
b) Beamsville: There are 9 letters in the name "Beamsville" (B, E, A, M, S, V, I, L, E), so there are 9! (9 factorial) permutations of all the letters in the name. This equals 362880 permutations.
c) Mattawa: There are 7 letters in the name "Mattawa" (M, A, T, T, A, W, A), so there are 7! (7 factorial) permutations of all the letters in the name. This equals 5040 permutations.
d) Penetanguishene: There are 14 letters in the name "Penetanguishene" (P, E, N, E, T, A, N, G, U, I, S, H, E, N), so there are 14! (14 factorial) permutations of all the letters in the name. This equals 87178291200 permutations.
Learn more about Permutations here:
https://brainly.com/question/1216161
#SPJ4
y=5/4x-2 y=5/4x-1 !HELP ME GRAPH AND ANSWER THE QUESTION!!
Answer:
Y=54x−2y=54x−1
I hope this helps you!