Jen go to the skate park every other day Terry go to skate park every third date Carlos goes to the skate park only on Mondays and Tuesdays today is Monday, June 3 and all the kids are at the skate park on what day would they all be at the skate park again

Answers

Answer 1

Answer: Tuesday, July 9 (correct me if I'm wrong)

Step-by-step explanation:

Jen goes every other day, so she goes every odd day.

Terry goes every third day, so Jen and Terry go together every six days.

Six days later is Sunday June 9, then Saturday June 15, then Friday Jun 21, then Thursday June 27, then Wednesday July 3.

Carlos only comes Mondays and Tuesday, so the next six days would be Tuesday July 9.

Answer 2
All the kids would be at the park on Tuesday. June 9th. Jen would be there the 5th, 7th, and 9th and terry would be there the 6th & 9th. The ninth would be a Tuesday so Carlos would be there too. So everyone would be there on Tuesday

Related Questions

what is x? Please explain how you got it so I can understand for future questions.

Answers

Answer:

[tex]\boxed{x = 40}[/tex]

Step-by-step explanation:

Hey there!

Well angles like 142 and 2x + 22 equal each other because they are across from each other.

So we can set up the following,

142 = 3x + 22

Single out x

-22 to both sides

120 = 3x

Divide both sides by 3

x = 40

Hope this helps :)

Answer:

x=40

Step-by-step explanation:

142=3x+22

3x+22-22=142-22

3x=120

120/3=40

8 w 4 + 10 w 3 − 12 w 2 Factor completely

Answers

Answer:

[tex] 2w^2(w + 2)(4w - 3) [/tex]

Step-by-step explanation:

[tex] 8w^4 + 10w^3 − 12w^2 = [/tex]

First, factor out the GCF of all terms, 2w^2:

[tex] = 2w^2(4w^2 + 5w - 6) [/tex]

Now we work on the trinomial.

Think of ax^2 + bx + c.

Multiply ac

ac = 4 * (-6) = -24

Now we need two numbers whose product is -24 and whose sum is 5.

They are -3 and 8.

We break up the middle term, 5w, into a sum using these two numbers.

5w = 8x - 3w

[tex] = 2w^2(4w^2 + 8w - 3w - 6) [/tex]

Now we factor by parts. We factor a common factor out of the first two terms, and we factor a common factor out of the last two terms.

[tex] = 2w^2[4w(w + 2) - 3(w + 2)] [/tex]

[tex] = 2w^2(w + 2)(4w - 3) [/tex]

Find the value of x.

Answers

Answer:

27

Step-by-step explanation:

By the theorem of intersecting secant and tangent out side of a circle, we have:

[tex] {60}^{2} = 48 \times (48 + x) \\ 3600 = 48 \times (48 + x) \\ \frac{3600}{48} = 48 + x \\ 75 = 48 + x \\ 75 - 48 = x \\ x = 27 \\ [/tex]

-36 4/9 - (-10 2/9)-(18 2/9)​

Answers

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      Hi my lil bunny!

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[tex]-364/9-(-102/9)-(182/9)​[/tex]

[tex]= \frac{148}{3}[/tex] (Decimal: -49.333333)

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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If this helped you, could you maybe give brainliest..?

❀*May*❀

HERE IS THE ANSWER IF YOU SIMPLIFY — 1576/45

1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?

Answers

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

Answer:

3/4 of a mile

Step-by-step explanation:

1 furlong = 1/8 mile

========     ====

6 forlongs = x

cross multiply

1*x = 6 * (1/8)

x = 6/8

reduce 6/8. Divide top and bottom by 2

x = 3/4

Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?

Answers

Answer:

a 0,1 and b 1,0

Step-by-step explanation:

exam took

Answer:

The other answer is incorrect the answer is

D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply. The quadratic equation is in standard form. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0. There are two real number solutions. There are no real number solutions. A solution of the system of equations is (–1, 1.5).

Answers

Three Answers: choice A, choice B, choice C.

Basically the first three items are true, with the rest false.

=========================================================

Explanation:

Let's go through each answer choice one by one to see if it is true or false.

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

A. The quadratic equation is in standard form.  

This is true. Standard form for quadratics is y = ax^2+bx+c. In this case, a = 2, b = 0, c = 3. It might help to write the equation as y = 2x^2+0x+3.

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

B. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0.  

This is true. Start with y-x = 6. Replace y with 2x^2+3 and we get

2x^2+3-x = 6

From here we subtract 6 from both sides

2x^2+3-x-6 = 6-6

2x^2-x-3 = 0

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

C. There are two real number solutions.  

This is true. When you graph the two equations (I recommend GeoGebra but Desmos is another good tool), you'll see they intersect at two different locations. Each location is a solution in the form (x,y).

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

D. There are no real number solutions.  

This is false. It contradicts choice C.

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

E. A solution of the system of equations is (–1, 1.5).

This is false. The two solutions are (-1, 5) and (1.5, 7.5) which is where the two graphs intersect.

Another way to check is to plug x = -1 into either equation. You'll find the result to both is y = 5 instead of y = 1.5

Answer:

its ABC

Step-by-step explanation:

If you're good at trigonometry please help meeeeeee

Answers

Answer:

Hey there!

What we know:

The three triangles (two smaller ones and one larger one, are all right triangles)Measure of angle A is 42 degrees.Measure of angle C is 58 degrees.AC is 65 m.

What we would like to know:

ABBD

First, let's find AB.

Sine 58= AB/65

Solving for AB, we see that it is about 55.12 m.

Next, let's find BD.

Sine 42= BD/55.12

Solving for BD, we see that it is about 36.88 m.

Let me know if this helps :)

Solve for x: |3x + 12| = 18 (5 points) A. x = 2, x = −10 B. x = 2, x = −2 C. x = 10, x = −10 D. x = −2, x = 10

Answers

Correct answer is letter A. x=2.
Hope dis helps ya

Answer:

The solution set is therefore {-10, 2}

Step-by-step explanation:

The absolute value equation |3x + 12| = 18 has two distinct solutions.

|3x + 12| = 18 may be rewritten as

3x + 12 = 18 and

-(3x + 12) = 18

The first equation immediately above becomes 3x = 6 after we subtract 12 from both sides.  Therefore, x = 6/3, or x = 2.

Simplifying the second equation yields -3x - 12 = 18.  To solve this for x, we add 12 to both sides, obtaining -3x = 30.

Dividing both sides by -3 yields x = -10.

The solution set is therefore {-10, 2}

Plzz help me I’ll mark brainliest

Answers

Answer:

The answer is option B

Step-by-step explanation:

To find the side adjacent to the 50° angle we use tan

[tex] \tan( \alpha ) = \frac{opposite}{adjacent} [/tex]

From the question

The opposite is 6m

The adjacent is ?

So we have

[tex] \tan(50) = \frac{6}{?} [/tex]

[tex]? \tan(50) = 6[/tex]

[tex]? = 6 \times \frac{1}{ \tan(50) } [/tex]

But

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

So we have

[tex] \frac{1}{ \tan(50) } = \cot(50) [/tex]

Substitute it into the expression

That's

We have the final answer as

[tex]? = 6 \cot(50) [/tex]

Hope this helps you

Answer: 6*cot(50),  choice B

=====================================================

Explanation:

We're given an opposite side and an adjacent side. The tangent rule ties these two sides together. "tangent" is nowhere to be found in any of the answer choices, but cotangent is. Recall that

cot = 1/tan

which means

tan = opposite/adjacent

cot = adjacent/opposite

one is the reciprocal of the other

-----------

This means

cot(angle) = adjacent/opposite

cot(50) = x/6

6*cot(50) = x

x = 6*cot(50)

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner?

Answers

the answer to your question is 16

The required ways of the combination to display the flowers on the dinner is  20.

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner to determiined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Examples of permutation and combination, Managing people, numbers, numerals, alphabets, letters , and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.

Since, the total number of flower in vases is 6
3 of them to be selected for the dinner table tonight.
The combination is given as.
= C( 6 , 3)
= 6!/3!(6 - 3)!
= 6!/3!3!
= 20

Thus, the required ways of combination to display the flowers on dinner is  20.

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which construction can you use to prove that the Pythagorean theorem based on similarity of triangles​

Answers

A right angle triangle can be used to prove the Pythagorean theorem as (The length of the hypotenuse which is the long side is equal to the other sides of the triangle ). AC^2 =AB^2+BC^2

The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.

What are similar triangles?

Two triangles are similar triangles of their corresponding angles are equal corresponding sides are in equal ratios.

The Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).

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Find the measure of of RA. A. 24 B. 2 C. 12 D. 3

Answers

Answer: 24

Step-by-step explanation:

R= 3

You can find this using simple algebra

The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have a triangle shown in the picture.

It is required to find the measure of the RA

To find the measure of the RA we can apply the concept of congruent triangle:

In the triangle LRU and triangle LAU

LU = LU (common side)

LR = LA (equal sides)

Angle RLU = Angle ALU (equal)

The triangles are congruent.

RU = UA

18 - 2r = 4r

6r  = 18

r = 18/6 = 3

The measure of the RA = 18 - 2r + 4r = 18 + 2r

The measure of the RA = 18 + 2(3) = 18+6 = 24 units

Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

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for n prove by
[tex]3 + 3 {}^{2} + 3 {}^{3} ... + 3 {}^{n} = \frac{3(3 {}^{n} - 1) }{2} [/tex]
thank you​

Answers

Answer:

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

Step-by-step explanation:

Given

[tex]3 + 3^2 + 3^3 ...+ 3^n[/tex]

Required

Show that the sum of the series is [tex]\frac{3(3^{n}-1)}{2}[/tex]

The above shows the sum of a geometric series and this will be calculated as shown below;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

Where

a = First term;

[tex]a = 3[/tex]

r = common ratio

[tex]r = \frac{3^2}{3} = \frac{3^3}{3^2}[/tex]

[tex]r = 3[/tex]

Substitute 3 for r and 3 for a in the formula above;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex] becomes

[tex]S_n = \frac{3(3^n - 1)}{3 - 1}[/tex]

[tex]S_n = \frac{3(3^n - 1)}{2}[/tex]

Hence;

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

12 5 that is the answer for your question

need help with these questions!!! please explain bc I don't really get it!

Answers

Answer:

1. b.  2. a.  3. a.

Step-by-step explanation:

1. (f + g)x = f(x) + g(x)

= x^2 + 2x + 4

(f + g)(-1) =  (f + g)(x)  where x = 1 so it is

(-1)^2 + 2(-1) + 4

=  1 - 2 + 4

= 3.

2.  We find (f o g)(x) by replacing the x in f(x) by g(x):

= √(x + 1) and

(f o g)(3) =  √(3 + 1)

= √4

= 2.

3. (f/g) c  = f(x) / g(x)

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

The domain is the values of x which give real values of (f/g).

x cannot be - 1 because the denominator x + 1 = -1+1 = 0 and dividing by zero is undefined. So x can be all real values of x except x = -1.

The domain is (-∞, -1) U (-1, ∞)

B, A, A.
Hope this helps!

Math Question (10 Points):

Answers

Answer:

1 state

Step-by-step explanation:

You can see this by the state increases by 1, from 14-15, in the graph above.

Also, can you please give me the brainliest answer thing. :)

1 state (hope this helps) <3

Which numbers can be classified as rational? Select all that apply.

5/6

[tex] \sqrt{11} [/tex]
6.565656...

0.23

0.32416

-5 3/8

Answers

Answer:

5/6, 0.23, -5 3/8

Step-by-step explanation:

The answer is 5/6 with .

AB and CD intersect at point O, ∠ACO ≅ ∠DBO, and BO ≅ CO . Prove that △ACO ≅ △DBO. Plz Help Me... Thanks

Answers

Since ∠COA and ∠BOD are vertical angles, they are congruent.

You are also given that ∠ACO ≅ ∠DBO and BO ≅ CO.

By ASA (Angle-Side-Angle) congruency, you know that △ACO ≅ △DBO

The proof is shown below:

What is congruency of Triangles?

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

In Δ PQR and ΔXYZ, as shown below, we can identify that PQ = XY, PR = XZ, and QR = YZ and ∠P = ∠X, ∠Q = ∠Y and ∠R = ∠Z. Then we can say that Δ PQR ≅ ΔXYZ.

What is ASA congruency criteria?

ASA criterion stands for Angle-Side-Angle criterion. Under the ASA criterion, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Given:

∠ACO ≅ ∠DBO, and BO ≅ CO

as, ∠COA =∠BOD (vertically opposite angles)

∠ACO ≅ ∠DBO ( given)

BO ≅ CO ( given)

So, By ASA (Angle-Side-Angle) congruency,  △ACO ≅ △DBO

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35= -5(2k+5)?????? need help

Answers

Answer:

k=-6

Step-by-step explanation:

Answer:

[tex]\Large \boxed{k=-6}}[/tex]

Step-by-step explanation:

35 = -5(2k+5)

Expand brackets.

35 = -10k - 25

Add 25 on both sides.

60 = -10k

Divide both sides by -10.

-6 = k


11. Find the slope of the following coordinate points: (11,4)
and (5.-3)

Answers

Answer:

7/6

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = ( -3 -4)/(5 -11)

  -7/-6

  =7/6

Answer:

7/6

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 4)/(5 - 11)

m = -7/(-6)

m = 7/6

Patrick graphed (shown below) the high temperatures (in °C) that he experienced on each day of his trip to
Homer, Alaska
What is the meaning of point A?​

Answers

Answer:

(7, -5.5)

Step-by-step explanation:

is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5

(7, 5.5) look ^^ they should help u

What is the value of i 20+1?
1
- т т .-

Answers

The answer to 20+1 is 21

PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!Some of the steps in the derivation of the quadratic formula are shown:
Step 3: –c + StartFraction b squared Over 4 a EndFraction = a(x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction)

Step 4a: –c + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared

Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared

Which best explains or justifies Step 4b?

factoring a polynomial
multiplication property of equality
converting to a common denominator
addition property of equality
.

Answers

Answer:

i think it is the third one but dont know just an educational geuss

Step-by-step explanation:

The given steps from the derivation of the quadratic formula are:

Step 3:  [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]

Step 4a: [tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 4b: [tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

The property "converting to a common denominator" justifies step 4b. So, option C: "converting to a common denominator" is correct.

What is the quadratic formula?

The quadratic formula is as follows:

x = [-b ± (√b²+4ac)]/2a

This formula is derived from the quadratic equation [tex]ax^2+bx+c=0[/tex].

What are the steps to derive the quadratic formula?

The standard quadratic equation is [tex]ax^2+bx+c=0[/tex]

Step 1: [tex]ax^2+bx=-c[/tex]

Step 2: Taking 'a' as common

[tex]a(x^2+\frac{b}{a}x)=-c[/tex]

Step 3: Adding [tex]\frac{b^2}{4a}[/tex] on both sides

[tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x)+\frac{b^2}{4a}[/tex]

⇒ [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]

Step 4a: Factoring the polynomial

[tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 4b: Converting to a common denominator

[tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

⇒ [tex]\frac{(-4ac+b^2)}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 5: Applying square root (on one side there is a square, so, on the other side it gets ±)

⇒ [tex]\frac{(-4ac+b^2)}{4a^2}=(x+\frac{b}{2a})^2[/tex]

⇒ ±[tex]\sqrt{\frac{(-4ac+b^2)}{4a^2}} =(x+\frac{b}{2a})[/tex]

⇒ [tex]x+\frac{b}{2a}[/tex] = ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]

step 6: Subtacting [tex]\frac{b}{2a}[/tex] from both the sides

⇒ [tex]x=-\frac{b}{2a}[/tex] ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]

⇒ x = [-b ± (√b²+4ac)]/2a

Thus, step 4b best explains or justifies the property "Converting to a common denominator".

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Find all points having an x- coordinator of 5 whose distance from the point (-1,-3) is 10. (type an ordered pair. Use a comma to separate answers as needed.)

Answers

Answer:

(5,5) and (5,-11)

Step-by-step explanation:

You can find this out by plotting a circle with the diameter of 10 on the point "(-1,-3)". Then find all the times the circle is on the x axis of 5.

Answer:

so when the mughal emperor humayun had died akbar his son was put as kind of india he was 10 yearls old when his father died and then Bairam Khan was elected as a regent for Akbar.

Step-by-step explanation:

i need help please ​

Answers

260 units2 is the answer

A. 260 units2. That’s the answer

Question 5
Kate is finding the factors of a large number. Using
a calculator, she has just worked out that 66 is a
factor of this number.
Suddenly, she realises that 22 must be a factor of
the large number as well. Explain why Kate is
correct.

Answers

Explanation : If 66 is a factor of this unknown value, then 22 must be as well considering that 22 is a factor off 66. Let's say that this large value is 330. It is a multiple of 66, as 66 [tex]*[/tex] 5 = 330. At the same time 22 [tex]*[/tex] 15 = 330, so 330 is a multiple of 22 as well - or vice versa, 12 is a factor of 330.

We can also tell that 15, 22 fit into 330 through another approach. 22 [tex]*[/tex] 3 = 66, and 66 [tex]*[/tex] 5 = 330, so 5 [tex]*[/tex] 3 = 15 - the same value. This proves that 22 will always be a factor of a value that is the factor of 66.

Any multiple of the number will be a factor or result of the number It could factor in or go into an equal amount of times

HELP! QUICK!
What is the equation for the parabola with focus (2,7) and directrix y = -2?

Answers

Answer:

1/18(x-2)^2+45/18=y

Step-by-step explanation:

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

(x-2)^2+y^2-14y+49=y^2+4y+4

(x-2)^2-14y+49=4y+4

(x-2)^2+45=18y

1/18(x-2)^2+45/18=y

18 = y

Also puts thanks on his /\

HURRY !!! PLEASE HELP!!

Kellianne lined up the interior angles of the triangle along line p below.


Which statements are true for line p? Check all that apply.

It is a straight line with a measure of 360°.

It stays the same even if the angles in the triangle change.

The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.

The line is only straight when one of the angles is a right angle.

It represents the sum of the measures of the interior angles of the triangle.

The line will not be straight if all the angles in the triangle are acute.

It combines the three interior angles of the triangle to form a straight line.

It is a straight line with a measure of 180°

Answers

Answer:

2. it stays the same even if the angles in the triangle change

a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.

5. it represents the sum of the measures of the interior angles of the triangle

a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.

7. it combines the three interior angles of the triangle to form a straight line

a. same answers as previous

8. it is a straight line with a measure of 180º

a. refer to above

hope this helps :)

Answer:

B E H

Step-by-step explanation:

Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(

Answers

Answer:

The least number of steps she takes to reach 20 m is 118 steps

Step-by-step explanation:

For Laura, the length of a walking step = 50 cm = 0.5 m

The repeating number of steps she takes = Two steps forward one step backwards

The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps

Given that she always takes two steps forward and one step backwards, we have;

The number of steps forward every three steps = 2 step forward + (-1) step (backward)

The number of steps forward every three steps = 2 - 1 = 1 step forward

To reach 39 steps forward, she would need 39 × 3 =  117 steps

To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps

Therefore, the least number of steps she takes to reach 20 m = 118 steps.

I wrote the answer somewhere else and it wouldn’t let me copy and paste so here’s the screenshot

9x^3-16x^2=0. Solve and show all steps.

Answers

Answer Step one x=16/9 =1.778

Last step is x²=0

Hope I helped you

Answer:

the roots are {0, 0, 16/9}

Step-by-step explanation:

The trick to solving this is to factor out x^2 from both terms on the left:

x^2*9*x - 16x^2=0, or

x^2(9x - 16) = 0

Then, either x^2 = 0 or (9x - 16) = 0.

Thus, the roots are {0, 0, 16/9}

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