AABC has vertices at A(1, -9), B(8, 0), and C(9, Is AABC an equilateral triangle? Justify your answer. Yes, all sides are congruent.
Yes, BC is congruent to AC.
No, BC is not congruent to AC. 8).
No, AB is not congruent to AC.​

The vertices of the dilated image are P' (2, 2), R' (-2, -2), and S' (-2, 3).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of 1/3 centered at the origin as follows:

Ordered pair P (6, 6) → Ordered pair P' (6 × 1/3, 6 × 1/3) = Ordered pair P' (2, 2).

Ordered pair R (-6, -6) → Ordered pair R' (-6 × 1/3, -6 × 1/3) = Ordered pair R' (-2, -2).

Ordered pair S (-6, 6) → Ordered pair R' (-6 × 1/3, 6 × 1/3) = Ordered pair S' (-2, 3).

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The discriminant of this equation is 261

It has two solutions are they are -0.76 and 0.86

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

5n^2-n=13

Rewrite as

5n^2-n - 13 = 0

The discriminant is

D = b^2 - 4ac

So, we have

D = (-1)^2 - 4 * 5 * -13

Evaluate

D = 261

In (a), we have the discriminant to be greater than 1

This means that it has two solutions

We have

5n^2-n - 13 = 0

Using the quadratic formula, the solution is

x = (-b ± √D)/4a

So, we have

x = (1 ± √261)/4 * 5

x = (1 ± 16.2)/20

So, we have

x = (1 - 16.2)/20 and (1 + 16.2)/20

Evaluate

x = -0.76 and 0.86

Hence, the solutions are -0.76 and 0.86

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The image with the scale factor Length: times 2 and Height: times 2 is enlarged and proportional to original.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

A) Length: times 1

Height: times 3

The image is enlarged.

Not, proportional to original

B) Length: times 1/2

Height: times 1/2

The image is reduced.

Yes, proportional to original

C) Length: times 2

Height: times 2

The image is enlarged.

Yes, proportional to original

D) Length: times 3

Height: times 1

The image is reduced.

Not, proportional to original

Hence, the image with the scale factor Length: times 2 and Height: times 2 is enlarged and proportional to original.

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The solutions for the missing sides and angles are mathematically given below

Generally, for number 3

x=9

y=15

The opposite side are equal

4)

n=12

6=m+1

m=5

5)

20=z-8

z=28

105=d-21

d=126

6)

7=16-h

h=16-7

h=9

65=g+4

g=61

Considering questions 7 AND 8

we know that the angle in a parallelogram is 360,

Therefore

<B= (360-(2*51))/2

<B=129

<N= (360-(2*95))/2

<N=85

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The value of the expression:[tex]x^2 * x^{1*2} * x^1[/tex], x=9 is 6561.

To evaluate the expression [tex]x^2 * x^{1*2} * x^1[/tex], x=9  we simply substitute 9 for each x in the expression and simplify using the rules of exponents.

To convert the given expression into mathematical notation for x=9, we can write it as:

(9^2) * (9^(2*1)) * (9^1)

where ^ represents the exponentiation operator.

Simplifying the expression further, we get:

81 * 9² * 9

[tex]x^2 * x^1 * x^2 * x^1*x[/tex], x=9  becomes:

Therefore, the value of the expression: [tex]x^2 * x^{1*2} * x^1[/tex], x=9 is 6561.

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Complete Question:

Evaluate the expression  [tex]x^2 * x^{1*2} * x^1[/tex], where x=9.

The height of the tower is approximately 38.4 feet.

The image shows a person standing near to a tower with a height of h. The shadow is x feet long and the individual is 6 feet tall. The tower is 30 feet away from the individual, and its shadow extends 48 feet in length.

To determine the tower's height, we can utilise triangles similar to these ones. In identical triangles, the ratio of the corresponding sides is the same. Let's utilise this data to construct a proportion to determine the tower's height:

Height of a person divided by the length of their shadow equals height of a tower divided by the length of its shadow.

Inputting the values provided yields:

6 / x = h / 48

We must solve for h in order to find it. By adding 48 to both sides of the equation, we obtain:

h = (6 / x) * 48

The shadow's length, x, needs to be determined still. The same approach as before yields:

(person's height) / (person's distance from tower) = (person's shadow length) / (distance between person and end of shadow)

Inputting the values provided yields:

6 / 30 = x / (30 + x)

We can cross-multiply and simplify to find x's value:

6(30 + x) = 30x

180 + 6x = 30x

24x = 180

x = 7.5

Hence, the shadow's length is 7.5 feet. Now we can insert this value into the formula we discovered for h:

h = (6 / x) * 48 = (6 / 7.5) * 48 = 38.4.

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The tower is roughly 38.4 feet tall as a result.

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Answer:

422.9 (If circle)

Step-by-step explanation:

circumference = 2 times pi times r

72.9 = 2 times pi x r

72.9/(2 times pi) = r

11.60 = r

area = pi x r^2

area = 422.9

Answer:

Find answer below:

Step-by-step explanation:

Answer is 422.91

Answer:

Coordinates of E= (2,2)

Step-by-step explanation:

Coordinates of D→ (-4,8) (x₁,y₁)

Coordinates of G→ (6,-2) (x₂,y₂)

Ratio= 3:2 (m:n)

Coordinates of E→ ( [tex]\frac{mx2+nx1}{m+n}[/tex],[tex]\frac{my2+ny1}{m+n}[/tex])

                            = ([tex]\frac{3x6+2x-4}{3+2}[/tex],[tex]\frac{3x-2+2x8}{3+2}[/tex])

                            = ([tex]\frac{18-8}{5}[/tex],[tex]\frac{-6+16}{5}[/tex])

                            = ([tex]\frac{10}{5}[/tex],[tex]\frac{10}{5}[/tex])

                            = (2,2)

∴ coordinates of point E is (2,2).

Answer:

Step-by-step explanation:

A rational number is a number that can be expressed as the ratio of two integers: p/q (where q ≠ 0).  An integer is a whole number that can be positive, negative, or zero.  Note: any integer can be expressed as a rational number by dividing it by 1.

An irrational number is a real number that cannot be written as a rational number.

The number 5 is a rational number as it can be expressed as 5/1.

[tex]\implies 5=\dfrac{5}{1}[/tex]

If -7.641 is multiplied by 1000/1000 it becomes:

[tex]\implies -7.641 \cdot \dfrac{1000}{1000}=-\dfrac{7641}{1000}[/tex]

which is a rational number.

The number 17 is a prime number, which means its only factors are 1 and itself. Therefore, as it is not a square number, the square root of 17 is an irrational number.

The number 49 is a perfect square. As 7² = 49 then √(49) = 7.

Since 7 is a positive integer, it can be expressed as a fraction by dividing it by 1, so √(49) is a rational number.

[tex]\implies \sqrt{49}=7=\dfrac{7}{1}[/tex]

Answer:

If the core of the sun is ~15 million kelvin why do we say the blackbody temperature of the sun is ~5800 kelvin?

Step-by-step explanation:

Answer:

The perimeter of a rectangle is the total length of all four sides.

To find the perimeter of a rectangle with length 4x+2 and width 7y-7, we use the formula P=2L+2W where L is the length and W is the width.

Therefore, P=2(4x+2)+2(7y-7)=8x+14y-10. Thus, the perimeter of this rectangle is 8x+14y-10.

Step-by-step explanation:

Identify the given values of the rectangle: the length is 4x+2 and the width is 7y-7.

Use the formula for perimeter to calculate the perimeter: P = 2(L + W)

Substitute the given values into the equation: P = 2(4x+2 + 7y-7)

Simplify the equation: P = 2(4x + 7y - 5)

Solve for the perimeter: P = 8x + 14y - 10 Therefore, the perimeter of the rectangle is equal to 8x + 14y - 10.

Answer:

14y+8x-10

Step-by-step explanation:

(4x+2)+(7y-7)+(4x+2)+(7y-7)=

4x+2+7y-7+4x+2+7y-7=

8x+4+14y-14=

14y+8x-10

( hopes it helps!)

Expressions represent the number of squares in step n are 1st, 2nd and 5th options.

An equation is a mathematical statement that indicates the equality of two expressions. It contains variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. Equations can be used to model and solve a wide range of problems in various fields, including physics, engineering, economics, and chemistry.

Step 1: analyze the pattern

If number of squares in each step is expressed as , f(n) then you can see the following results1

The number of squares in 1st step is, f(1)=8........(1)

In second step number of squares is increased by a number of 3. that is, f(2)=f(1) + 3...................(2)

Again in 3rd step, the number of squares increased by 3, that is,

f(3)= f(2) + 3...............(3)

    = (f(1) +3) + 3

    = f(1) + 2 × 3f(3)

    = f(1)+ 2 × 3............(4)

Step 2: make the recurrence relation

Now, from (1), (2) and (3) we can generalize the pattern for a step n such that,

f(1)=8........(1)  f(1) + 3...................(2) f(2) + 3...............(3)

f(n)= f(n-1) + 3 for n≥2

Thus, the 2nd option from the top is correct.

Step 3: find the form of f(n)

Now, from (1), (2) and (4) we can find the number of squares , for a step n such that,

f(1)=8+0×3f(2)= 8+1×3f(3)=8+2×3f(n)= 8+(n-1)×3 for n≥1

or

f(n)=8+3(n-1) for n≥1

Thus, 1st option is correct

f(n)=3n+5 for n ≥1

Thus, 5th option is also correct

Thus, 1st, 2nd and 5th options are the correct answer.

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Answer:

x= 1,y= -2

Step-by-step explanation:

This is the answer. pls give me the brainliest

Answer:

Step-by-step explanation:

slope formula =[tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2} }[/tex]

[tex]\frac{4-3}{-4-(-1) }[/tex] = [tex]\frac{1}{-3}[/tex] = [tex]-\frac{1}{3}[/tex]

slope = [tex]-\frac{1}{3}[/tex]



Answer: The quotient of 3 1/3 and 1 5/6 is 60/33, which can be simplified to 20/11.

Step-by-step explanation:

To divide 3 1/3 by 1 5/6, we first need to convert the mixed numbers to improper fractions:

3 1/3 = (3 x 3 + 1) / 3 = 10/3

1 5/6 = (1 x 6 + 5) / 6 = 11/6

Now, we can divide the fractions by multiplying the first fraction by the reciprocal of the second fraction:

(10/3) ÷ (11/6) = (10/3) x (6/11)

Multiplying the numerators and denominators, we get:

(10 x 6) / (3 x 11) = 60/33

The quotient of 3 1/3 and 1 5/6 is therefore 60/33, which can be simplified to 20/11.

Answer: 2m + 14

Step-by-step explanation:

Perimeter is the sum of all the sides.

A rectangle has 2 pairs of equal sides, so one way to write the expression would be 2(m + 5) + 2(2).

Distributing the 2s, leaves 2m + 10 + 4

Combine like terms, and you have 2m + 14.

Hope this helps!

The image of GHJ after translation is G' (-2.5, 4), H' (-3.5, 2) and J' (-5, 6).

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

As per the given data:

Coordinates of the vertices are:

G(0, 0), H(-1, -2), and J(-2.5, 2)

Translation: (x, y) → (x-2.5, y + 4).

For finding the image of GHJ:

Subtract 2.5 from x-coordinate of all points and 4 in y-coordinate of all points.

G(0, 0) → G' (-2.5, 4)

H(-1, -2) → H' (-3.5, 2)

J(-2.5, 2) → J' (-5, 6)

Hence, the image of GHJ after translation is G' (-2.5, 4), H' (-3.5, 2) and J' (-5, 6).

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Answer: y =  x + 5

Step-by-step explanation:

Slope m =

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m =  =

y =  x + 5

Answer:

Nichelle Nichols is an American actress, singer, and advocate for diversity and representation in the entertainment industry. She is best known for her groundbreaking role as Lieutenant Uhura in the original Star Trek television series, which broke down barriers and challenged stereotypes about race and gender.

Nichols was drawn to the performing arts from a young age and began studying dance at the age of 14. She later moved to Los Angeles to pursue a career in entertainment and landed her first role in the film Porgy and Bess. However, it was her role in Star Trek that would cement her status as a trailblazer in the industry.

As Lieutenant Uhura, Nichols helped break down barriers and challenge stereotypes about African Americans in the entertainment industry. She was one of the first African American women to play a non-stereotypical role on a television series, portraying an intelligent and capable officer rather than a typical maid or nanny character.

Nichols also worked behind the scenes to promote diversity and representation in the industry. She encouraged more African Americans to pursue careers in the arts, and helped organize and participate in numerous events and programs aimed at promoting diversity in the entertainment industry.

In addition to her work on Star Trek, Nichols continued to act in films and television shows throughout her career. She also used her platform to advocate for social and political causes, including supporting the Civil Rights Movement and campaigning for NASA's recruitment of women and minority astronauts.

Overall, Nichelle Nichols has had a significant impact on the entertainment industry and on society as a whole. Her efforts to promote diversity and representation have helped inspire a generation of performers and artists to embrace their identities and push for greater inclusivity in their work.

Step-by-step explanation:

Answer:

3, 6, 9, 12, 15

1, 10, 19, 28,37,46

3, 9, 27, 81. 243, 729

Step-by-step explanation:

1. keep adding 3

2. keep adding 9

3. keep multiplying by 3

 The total number of different arrangements is 3628800.

The different arrangements which can be made out of a given number of objects by taking out few of them or all at a time are called permutations.

We are given to find the total number of different arrangements that can be made with the letters from the word "basketball".

The total number of letters in the word "basketball"  =  10 .

We know that if there are n things, then the total number of different arrangements that could be made using "n" things is n!.

So, the total  total number of different arrangements that can be made using 10 letters will be;

10 ! = 10 ×9×8×7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.

Thus, there will be 3628800 different arrangements.

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The probability that it comes up 3 at least once is 0.5177 or approximately 0.5177.

The probability of rolling a 3 on one fair die roll is 1/6. To calculate the probability that it will come up 3 at least once in four rolls, we can use the complement rule to calculate the probability that it will not come up 3 at all in four rolls, then subtract that from 1:

P(at least three times) = 1 - P (no 3 in four rolls)

The probability of not rolling a 3 on one fair die roll is 5/6. So the odds of not rolling a 3 on four rolls are:

(5/6)^4 = 0.4823 (rounded to four decimal places) (rounded to four decimal places)

As a result, the likelihood of rolling a 3 at least once every four rolls is:

P(at least three times) = 1 - 0.4823 = 0.5177 (rounded to four decimal places)

So the probability that it appears three times is 0.5177, or approximately 0.5177.

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A person tosses a coin 15 times. In how many ways can he get 3 heads? The answer is 455 ways.

To find the answer, we can use the formula for combinations, which is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of tosses, and k is the number of heads we want to get.
In this case, n = 15 and k = 3, so we can plug these values into the formula:
C(15, 3) = 15! / (3! * (15-3)!)
C(15, 3) = 15! / (3! * 12!)
C(15, 3) = (15 * 14 * 13 * 12!)/ (3! * 12!)
C(15, 3) = 455
So there are 455 ways to get 3 heads when tossing a coin 15 times.

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Answer:

I think it would be $18.20

Step-by-step explanation:

If I'm wrong sorry

The value of {x} for which the equation → 26 = -1 + (27x)³/4 holds true is {x} = 0.18.

A function is a relation between a dependent and independent variable. Mathematically, we can write -

y = f(x) = ax + b

Given is the function as -

26 = -1 + (27x) ³/4

We have the equation as -

26 = -1 + (27x)³/4

(27x)³/4 = 26 + 1

(27x)³/4 = 27

(27x)³ = 27 x 4

(27x)³ = 108

(27)³x³ = 108

x³ = 108/(27)³

x³ = 108/19683

x = 0.0055

x = 0.18 {approx.}

Therefore, the value of {x} for which the equation → 26 = -1 + (27x)³/4 holds true is {x} = 0.18.

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what is going on here????

Answer:

what's happening here

get help frfr I hate that song

We can classify the functions as -

{ 1 } - cubic function                      D[2, 6]                  R(- ∞, ∞)

{ 2 } - square root function           D[-4, ∞)                R[2, ∞)  

A function is a relation between a dependent and a independent variable.

Given is to classify the given functions as linear, quadratic or cubic.

We can classify the functions as -

{ 1 } - cubic function                      D[2, 6]                  R(- ∞, ∞)

{ 2 } - square root function           D[-4, ∞)                R[2, ∞)

Therefore, we can classify the functions as -

{ 1 } - cubic function                      D[2, 6]                  R(- ∞, ∞)

{ 2 } - square root function           D[-4, ∞)                R[2, ∞)

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The mean and standard deviation for Cmax and AUCtau following multiple dose administration of VEKLURY (100 mg, IV dose) to healthy adults are provided in the table below:

Cmax (Remdesivir)    

Mean (CV%) - 2229 (19.2)

Standard Deviation - 427.68

Cmax (GS-441524)

Mean (CV%) - 145 (19.3)

Standard Deviation -  28.02

Cmax (GS-704277)

Mean (CV%) - 246 (33.9)

Standard Deviation - 83.52

AUCtau (Remdesivir)

Mean (CV%)  - 1585 (16.6)

Standard Deviation- 262.71

AUCtau (GS-441524)

Mean (CV%) - 2229 (18.4)

Standard Deviation - 410.16

AUCtau (GS-704277)

Mean (CV%) - 462 (31.4)

Standard Deviation - 145.08

Ctrough (GS-441524)

Mean (CV%) - 69.2 (18.2)

Standard Deviation - 12.59

Note that the standard deviation was calculated using the formula: standard deviation = sqrt(variance), where variance is the square of the coefficient of variation (CV) multiplied by the mean squared.

Variance = (CV/100)^2 * Mean^2

Standard Deviation = sqrt(Variance)

For example :

Cmax (Remdesivir)    mean and Standard Deviation calculations :

given, CV = 19.2% & Mean = 2229 ng/mL

For, Variance = (CV/100)^2 * Mean^2

= (0.192)^2 * 2229^2

= 359750.06

Again, Standard Deviation = sqrt(Variance)

= sqrt(359750.06)

= 427.68 ng/mL

Therefore, the standard deviation for Cmax (Remdesivir) is 427.68 ng/mL.

You can follow the same formula to calculate the standard deviation for the other parameters.

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Probable questions would be

What is the mean and standard deviation for Cmax (ng/ml) and AUC (ng-hr/ml) following multiple dose administration of VEKLURY (100 mg, IV dose) to healthy adults? (note: AUC tau refers to the steady state AUC following multiple dosing – use this value in the assignment).

CLICK IMAGE FOR TABLE

Please find the mean and the standard deviation for these values

(a) The total area under the curve is nearly equal to 24.

(b) The area under the curve by evaluating the function at the left-hand endpoints of the subintervals is 24.

(a) To approximate the area under the curve of f(x) = 8x - [tex]x^2[/tex] from x = 0 to x = 4 using 2 subintervals and evaluating the function at the right-hand endpoints of the subintervals.

We can use the right-endpoint rule for approximating definite integrals:

First, we need to find the width of each subinterval:

Δx = (4-0) / 2 = 2

Then, we can evaluate the function at the right-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:

f(2) = 8(2) - [tex]2^2[/tex] = 12

f(4) = 8(4) - [tex]4^2[/tex] = - 8

Area of the first rectangle = f(2)Δx = 12(2) = 24

Area of the second rectangle = f(4)Δx = -8(2) = -16

The total area under the curve is the sum of the areas of the two rectangles:

Total area ≈ 24 + (-16) = 8

(b) To approximate the area under the curve of f(x) = 8x - [tex]x^2[/tex] from x = 0 to x = 4 using 2 subintervals and evaluating the function at the left-hand endpoints of the subintervals, we can use the left-endpoint rule for approximating definite integrals:

The width of each subinterval is still Δx = 2.

Now, we evaluate the function at the left-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:

f(0) = 8(0) - [tex]0^2[/tex] =0

f(2) = 8(2) - [tex]2^2[/tex] =12

Area of the first rectangle = f(0)Δx = 0(2) = 0

Area of the second rectangle = f(2)Δx = 12(2) = 24

The total area under the curve is the sum of the areas of the two rectangles:

(a) To approximate the area under the curve of f(x) = 8x - [tex]x^2[/tex] from x = 0 to x = 4 using 2 subintervals and evaluating the function at the right-hand endpoints of the subintervals, we can use the right-endpoint rule for approximating definite integrals:

First, we need to find the width of each subinterval:

Δx = (4-0)/2 = 2

Then, we can evaluate the function at the right-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:

f(2) = 8(2) -  [tex]2^2[/tex] = 12

f(4) = 8(4) - [tex]4^2[/tex] =-8

Area of the first rectangle = f(2)Δx = 12(2) = 24

Area of the second rectangle = f(4)Δx = -8(2) = -16

The total area under the curve is the sum of the areas of the two rectangles:

Total area ≈ 24 + (-16) = 8

(b) To approximate the area under the curve of f(x) = 8x - [tex]x^2[/tex] from x = 0 to x = 4 using 2 subintervals and evaluating the function at the left-hand endpoints of the subintervals, we can use the left-endpoint rule for approximating definite integrals:

The width of each subinterval is still Δx = 2.

Now, we evaluate the function at the left-hand endpoints of the subintervals and multiply by the width of each subinterval to find the area of each rectangle:

f(0) = 8(0) -[tex]0^2[/tex] =0

f(2) = 8(2) - [tex]2^2[/tex] =12

Area of the first rectangle = f(0)Δx = 0(2) = 0

Area of the second rectangle = f(2)Δx = 12(2) = 24

The total area under the curve is the sum of the areas of the two rectangles:

Total area ≈ 0 + 24 = 24

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Answer:

[tex]\huge\boxed{\sf 4(6x - 5)}[/tex]

Step-by-step explanation:

= 24x - 20

Common factor = 4

So,

[tex]\rule[225]{225}{2}[/tex]

Answer:

4(6x - 5)

Step-by-step explanation:

Now we have to,

→ Factorise the given expression.

The expression is,

→ 24x - 20

The Greatest Common Factor is,

→ GCF of 24 & 20 = 4

Let's factorise the expression,

→ 24x - 20

→ 4(6x) + 4(-5)

→ 4(6x) - 4(5)

→ 4(6x - 5)

Hence, the answer is 4(6x - 5).