Create a list of steps, in order, that will solve the following equation. (x-5)^2=25(x−5) 2 =25left parenthesis, x, minus, 5, right parenthesis, squared, equals, 25 Solution steps:

Answer: f(n + 1) = (–0.5)f(n)

Step-by-step explanation:

This is a geometric series with common ratio -0.5.

Answer:

[tex]\huge\boxed{\sf 9x^2+12x+4 \ units^2}[/tex]

Step-by-step explanation:

Given that,

Length of cube = l = 3x + 2 units

[tex]= l \times l\\\\= (3x+2)(3x+2)\\\\= 3x(3x+2)+2(3x+2)\\\\= 9x^2+6x+6x+4\\\\= 9x^2+12x+4 \ units^2\\\\\rule[225]{225}{2}[/tex]

Answer: 14.79

Step-by-step explanation:

[tex]\frac{b}{\sin B}=\frac{a}{\sin A}\\\\a=\frac{b \sin A}{\sin B}\\\\a=\frac{23 \sin 40^{\circ}}{\sin 88^{\circ}}\\\\a \approx 14.79[/tex]

Answer:

[tex]a)\ y=-(x-5)^2;\\b)\ y=4x^2-5;\\c)\ (y-2)^2=4*(x+3).[/tex]

Good luck!

Answer:

[tex]\displaystyle{y=2\sqrt{x+4}}[/tex]

Step-by-step explanation:

We are given parametric equations of:

[tex]\displaystyle{x=t^2-4}[/tex] and [tex]\displaystyle{y=2t}[/tex]

Isolate t-variable in [tex]\displaystyle{x=t^2-4}[/tex] first by adding both sides by 4:

[tex]\displaystyle{x+4=t^2-4+4}\\\\\displaystyle{x+4=t^2}[/tex]

Square root both sides then write plus-minus:

[tex]\displaystyle{\sqrt{x+4}=\sqrt{t^2}}\\\\\displaystyle{t=\pm \sqrt{x+4}}[/tex]

Since the choice determines y-term as a function and only positive t-value exists, substitute only [tex]\displaystyle{t=\sqrt{x+4}}[/tex] in [tex]\displaystyle{y=2t}[/tex].

Therefore, the answer is [tex]\displaystyle{y=2\sqrt{x+4}}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

A. 2640

Step-by-step explanation:

44 feet per second 30 miles per hour is 2640 feet per minute

Factorial design is the correct choice for the answer as an experimental design that permits statistical conclusions about two or more factors is a factorial design.

A factorial experiment is a type of research methodology that allows the study of main and interaction effects between two or more independent variables and on one or more outcome variables.

This is called a mixed factor experiment. For example, a researcher may choose to treat mobile phone use as a factor within a subject by testing the same participant with and without mobile phone use (the order of these two conditions). Balance).

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A number line is a line that shows the locations of all directed numbers. The answers required to the question are:

i. The location of G is 2.18.

ii. The length of FG is 0.98.

A number system is a system that can be used to locate the position of directed numbers on a number line. A number line has two ends: positive and negative ends. This starts from negative infinity to positive infinity. Thus all numbers can be located on a number line.

Directed numbers are numbers that have either a positive sign or a negative sign. Thus all numbers are directed numbers.

From the given question, let the distance between FG and GH be represented by x (since Point H is the length of FG from point G).

Thus,

Point FH = 3.15 - 1.20

              = 1.95

x = [tex]\frac{FH}{2}[/tex]

   = [tex]\frac{1.95}{2}[/tex]

x = 0.975

So that,

Location of point G = 1.200 + 0.975

                                = 2.175

Therefore, the location of G is 2.175 (2.18). And the length of FG is 0.975 (0.98).

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Answer:

Location of G: 6.4

Length of FG: 5.2

Step-by-step explanation:

correct on Edementum/Plato

Answer:

600

Step-by-step explanation:

So I'm assuming an outfit is considered one shirt, and one pair of pants... But anyways, this can be expressed in a graph. So for each shirt, there are going to be 15 possible pants you can chose. And this goes for each shirt. So in other words you're simply adding up 15, 40 amount of times. Or 15 * 40, which is 600. I attached an image that illustrates this graph. You can also think of it in terms of choosing one of 15 pants and then for each pant, there are 40 possible shirts to choose from. This is essentially adding up 40, 15 times, or in other words 40 * 15, which is going to get you the same result. But in my diagram I used it in terms of choosing a shirt first.

Answer:

600

Step-by-step explanation:

Pair 1 of pants goes with 40 shirts

Pair 2 of pants goes with 40 shirts

Pair 3 of pants goes with 40 shirts

Pair 4 of pants goes with 40 shirts

Pair 5 of pants goes with 40 shirts

Pair 6 of pants goes with 40 shirts

Pair 7 of pants goes with 40 shirts

Pair 8 of pants goes with 40 shirts

Pair 9 of pants goes with 40 shirts

Pair 10 of pants goes with 40 shirts

Pair 11 of pants goes with 40 shirts

Pair 12 of pants goes with 40 shirts

Pair 13 of pants goes with 40 shirts

Pair 14 of pants goes with 40 shirts

Pair 15 of pants goes with 40 shirts

Add up everything (not including the 1,2,3,4,5,...14,15 pairs of pants because each pair of pants goes with 40 different shirts so u just add up all the 40's)  and you would get 600 outfits.

Another simple way of doing this would just be multiplying 40x15

Answer:

7

Step-by-step explanation:

a^3 = 2^3 = 8

b^3 = -3^3 = -27

(8 - (-27))/5= (8+27)/5 =35/5=7

The values gotten for the  coordinate plane are;

The Reason for the obtained value is that since thee rule for the dilation of ΔRST is:

Then, the distance that exist between the x-coordinate of R and T will be:

3 - 0

= 3

Then the distance between the y-coordinate of R and T will be:

4 - (-2)

= 6

Note that the location of the point R' is said to be relative to point T and as such:

The location of point R'

= (-1 + 3, 2 - 2)

= R'(2, 0)

Hence R' is (-1, 2) from T, and the coordinates of R' is (2, 0)

Therefore, The values gotten for the  coordinate plane are;

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Answer:

C.) ✔ 3

D.) ✔ 6

B.) ✔ 1 unit left, 2 units up

D.) ✔ (2, 0)

Step-by-step explanation: i hope this helps :)

Answer:

i don't know sorry :(

Step-by-step explanation:

Using Sarai's measurements, Line 3 must be parallel to Line 5 by option (A) Converse of Alternate Exterior Angles Theorem.

The alternate Exterior Angles theorem states, "If two lines are parallel and they are intersected by the same straight line then the alternative exterior angles formed by the figure are equal to each other."

The converse of this theorem states that "If two lines intersected by one transverse and formed alternate exterior angles, and if they are equal to each other then that two lines are parallel to each other."

Here in Sarai's measurement, we can conclude that Line 3 and Line 5 are intersected by one straight line, and the formed alternate exterior angles both are 65, which shows they are equal to each other.

Hence by Converse of the Alternate Exterior Theorem, we can say that both lines are parallel to each other.

So, Line 3 must be parallel to Line 5 according to the Converse of Alternate Exterior Angles Theorem.

Hence Option (A) is correct.

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The value of ST is 3

The given parameters are:

RT = 8

RS = 5

To calculate ST, we make use of the following straight line theorem

RT = RS + ST

This gives

8 = 5 + ST

Subtract 5 from both sides

ST = 3

Hence, the value of ST is 3

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Answer:

A. Square

Step-by-step explanation:

Hope this helps!

Please mark brainliest! Thanks!

The rule of 72 is a rule of thumb that is used to determine the doubling time for an investment given the annual interest rate.

The equation Miguel needs to set up is r = 72/16.

The interest rate is 4.5%.

The rule of 72 is used to determine the time it would take an investment to double in value. The doubling time is determined by dividing 72 by the interest rate.

Number of years it would take an investment to double = 72 / interest rate

n = 72 / r

r = 72 / n

72 / 16 = 4.5%

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By taking the product between the number of boys and the number of rocks that each gets, we conclude that they collected 75 rocks.

We know that there are 3 boys, and each boy collected 25 rocks.

If we take the product between the number of boys and the number of rocks that each boy collected, we get:

R = 3*25 rocks = 75 rocks.

We conclude that the boys collected 75 rocks in total.

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The skew lines are CG, DH, AD, BC.

Two or more lines which have no intersections but are not parallel.

Since two lines in the plane must intersect or be parallel, skew lines can exist only in three or more dimensions.

As, by the definition

The lines skew to EF is CG, DH, AD, BC

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Answer:

28.31

Step-by-step explanation:

So in this case you're going to need to use the law of sines which essentially states that: [tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex] which should apply to any of the sides. the lowercase a and b are the opposite sides of the angles A and B. In this example the angle A is given and C is given, but not in the text. Since you have the right angle thing in the diagram, angle C is a right angle (90 degrees).

Given information:

[tex]\angle A = 32\\a=15\\\angle C = 90 \text{(the right angle symbol in the diagram of the triangle)}[/tex]

Law of sines equation:

[tex]\frac{a}{sinA}=\frac{b}{sinB} \text{ can be applied to any two sides }[/tex]

Plug in known information:

[tex]\frac{15}{sin(32)}=\frac{c}{sin (90)}[/tex]

since sin(90) = 1, simplify the fraction

[tex]\frac{15}{sin(32)} = c[/tex]

Calculate sin(32)

[tex]\frac{15}{0.530}\approx c[/tex]

Divide

[tex]28.306\approx c[/tex]

If you haven't learned law of sines yet and don't quite understand why it works you can also use the definition of tan to find what b equals and then use the Pythagorean Theorem to solve for c

tan is defined as: [tex]\frac{opposite}{adjacent}[/tex]

[tex]tan(32)=\frac{15}{b}[/tex]

now multiply both sides by b

[tex]b * tan(32)=15[/tex]

Divide both sides by tan 32

[tex]b = \frac{15}{tan(32)}[/tex]

[tex]b\approx 24.005[/tex]

Now use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

[tex](24.005)^2+15^2=c^2\\[/tex]

Square known values

[tex]576.241+225=c^2[/tex]

Add the values

[tex]801.241 = c^2[/tex]

take the square root of both sides

[tex]28.306\approx c[/tex]

Rounding to the nearest hundredth gives you 28.31

Answer: C

Step-by-step explanation:

[tex]\sqrt10 10=10\sqrt{10}[/tex]

Answer:

Step-by-step explanation:

[tex]\bf \cfrac{AB}{BC} = \tan(60) [/tex]

Length of tower:-

Therefore, the tower is 93.6ft tall.

-------------------------------------------

Answer: [tex]\displaystyle d=\sqrt{1 7}\;\text{or about 4.123 units}[/tex]

Step-by-step explanation:

     We can use the distance formula to solve. Let (4, 6) be point one and (5, 2) be point two.

     [tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

     [tex]\displaystyle d=\sqrt{(5-4)^2 +(2-6)^2}[/tex]

     [tex]\displaystyle d=\sqrt{(1)^2 +(-4)^2}[/tex]

     [tex]\displaystyle d=\sqrt{1 +16}[/tex]

     [tex]\displaystyle d=\sqrt{1 7}[/tex]

Answer: 16

Step-by-step explanation:

[tex](g \circ f)(-6)=g(f(-6))\\\\f(-6)=-(-6)-2=4\\\\\implies g(f(-6))=g(4)=4^2 = \boxed{16}[/tex]

The value of the function estimation; (g°f)(-6) is; 64.

It follows from the task content that; the fumcti given are; f(x) = -x-2 and g (x) =x².

Hence, the function (g°f) (x) can be evaluated as; (-x-2)² = x² +4x +4.

Ultimately, when x = 6; (g°f)(-6) = 6² +4(6) +4 = 64.

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The length of the segment AB will be equal to 9.848 units.

It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The length of segment AB will be calculated as:-

Points are A(1,7) and B(10,3)

AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

AB = [tex]\sqrt{(10-1)^2+(3-7)^2}[/tex]

AB = √(81+16)

AB = √97

AB = 9.848

Therefore the length of the segment AB will be equal to 9.848 units.

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Step-by-step explanation:

let's call the top of the pole T, and the ground point of the pole G.

so, the situation gives us 2 right-angled triangles:

PTG and QTB.

from both triangles we know one leg (TG, the pole = 9 m), the inner angles at G (90° in both cases), and actually the inner angles at T, because we know the angles of depression there.

the inner triangle angles at T are just the complementary angles of the angles of depression (that means they add up together to 90°).

the inner angle at PTG = 90 - 4 = 86°

the inner angle at QTG = 90 - 7 = 83°

and because the sum of all angles in a triangle is always 180°, we even know the third angles at P and Q :

angle P = 180 - 90 - 86 = 4°

angle Q = 180 - 90 - 83 = 7°

yes, they are the same as the angles of depression (must be the same).

so, we know from both triangles 1 side and all 3 angles.

with the law of sine we can get every missing side.

particularly we need the second legs (sides in the ground) to get the distance between both points.

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c being the sides always opposite of their related angles.

TG/sin(4) = PG/sin(86)

PG = 9×sin(86)/sin(4) = 128.7059963... m

TG/sin(7) = QG/sin(83)

QG = 9×sin(83)/sin(7) = 73.29911785... m

the distance between P and Q can have now 2 solutions :

if P and Q are on different sides of the pole, then

PQ = 128.7059963... + 73.29911785... = 202.0051142... m

but if they are on the same side of the pole, then their distance is

PQ = 128.7059963... - 73.29911785... = 55.40687846... m

due to the phrasing of the first sentence I suspect the first solution to be right.

but just in case, I gave you also the second possible solution.

Applying the centroid theorem, the length of TY is calculated as: 18 units.

According to the centroid theorem, given a triangle like TUV with Y as the centroid, the theorem states that:

TY = 2/3(TW)

YW = 9 units

TW = TY + 9

Plug the values into the equation

TY = 2/3(TY + 9)

3(TY) = 2(TY + 9)

3(TY) = 2(TY) + 18

3(TY) - 2(TY) = 18

TY = 18

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The equation that relates x and y is y = 2.5x.

The values of x and y vary directly. Therefore,

y α x

where

Hence,

y = kx

where

Therefore,

x = 2

y = 5

5 = 2k

k = 5 / 2

k = 2.5

Hence, the equation that relates x and y are as follows;

y = 2.5x

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Answer:

see image

Step-by-step explanation:

Putting the data on the line plot is not too bad. Just put an x above the number on the numberline. If a number in the data set repeats, just stack those x's up over the numberline. It seems like the hardest part is labelling the number line. Each tick mark can be 1/8. On the image I wrote all the fractions in eighths at the bottom, then to label the numberline I used the simplified fractions. For example I started with 1 3/8 because it was the smallest number in the data set. Next is 1 4/8, but simplified that is 1 1/2. So 1 1/2 is how we label the numberline.

There were 12 pieces of data, but really only six numbers because some were repeated.

Stack x's above the numberline. Done! You have a line plot. See image.

Answer:

1. 1/⅜

2. 1/⅜

3 is 2/¼

4 is 2/¼

5 is 2/¼

6 is 2/⅞

7 is 2/⅞

8 is 2/⅞

9 is 3/⅛

10 is 3/⅛

11 is 3/⅛

Step-by-step explanation:

Mixed number to Improper Fraction

1.9/4

2.13/4

3.23/8

4.25/8

5.23/8

6.25/8

7. 5/2

8.9/4

9. 23/8

10. 5/2

11. 11/8

12. 25/8

then you make it into the same denominator

1. 18/8

2. 26/8

3. 23/8

4. 25/8

5. 23/8

6. 25/8

7. 20/8

8. 18/8

9. 23/8

10. 20/8

11. 11/8

12. 25/8

then what ever numerator is smallest you put at front and it goes onto the biggest one

e.g ASCENDING ORDER

However you'll need to put it back into the normal mixed number, so all you have to do is revert let's say 25/8 into 3/⅛, and put it onto the graph

1. 1/⅜

1. 1/⅜2. 1/⅜

. 1/⅜3 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞7 is 2/⅞

8 is 2/⅞

9 is 3/⅛

9 is 3/⅛10 is 3/⅛

11 is 3/⅛

and number 12 which is the biggest and the last one the you should put(on the end of graph) is

3/¼

I did rush this so I hope this is the correct answers

Answer:

C

Step-by-step explanation:

x²-10x+(-10×0.5)²=4+(-10×0.5)²

x²-10x+25=29

Answer:

Step-by-step explanation: