Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.

What are you asking?

Use Pythagorean theorem,

[tex]29^2 = 21^2 + x^2 \\\\\implies x^2 = 29^2 -21^2 \\\\\implies x^2 = 400\\\\\implies x = \sqrt{400} = 20[/tex]

Answer:

Step-by-step explanation:

First get the (m) which is the gradient by using the formula y2-y1/x2-x1

Pick any random 2 values from the table. I will pick. (1,4) (2,8)

Y2=8  Y1=4   X2=2  X1=1

8-4/2-1    4/1  = 4

Y=4x+c

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

6*x=9

X=9/6=3/2

Answer:

E

Step-by-step explanation:

Like and give 5 star rating

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

Answer:

a

Step-by-step explanation:

Negative discriminant means that the fucntion has no real roots

so in the quadratic function b^2-4ac if this section is negative there are no real roots, so yes a would be the answer

Bonus: if u want to know.

However, in linear algebra which ofc i know ur not taking there would be something called imangiary roots, or complex roots.

Answer:

x = 6

Step-by-step explanation:

Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.

Minus 11 from both sides, and we get -6 = -x, so x = 6

I'm not sure what the stuff in blue indicates. If we ignore that, then the flat horizontal line means the person stays motionless at some distance away from the motion detector. They don't move because the slope = rise/run is zero here, to indicate a zero speed.

Answer:

9w=8w-5

collect like terms

9w-8w=-5

w=-5

Let

[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots[/tex]

Differentiating twice gives

[tex]\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots[/tex]

[tex]\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n[/tex]

When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.

Substitute these into the given differential equation:

[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0[/tex]

[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0[/tex]

Then the coefficients in the power series solution are governed by the recurrence relation,

[tex]\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}[/tex]

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.

• If n is even, then n = 2k for some integer k ≥ 0. Then

[tex]k=0 \implies n=0 \implies a_0 = a_0[/tex]

[tex]k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}[/tex]

[tex]k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}[/tex]

[tex]k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]

It should be easy enough to see that

[tex]a_{n=2k} = \dfrac{a_0}{(2k)!}[/tex]

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then

[tex]k = 0 \implies n=1 \implies a_1 = a_1[/tex]

[tex]k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}[/tex]

[tex]k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}[/tex]

[tex]k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}[/tex]

so that

[tex]a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}[/tex]

So, the overall series solution is

[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)[/tex]

[tex]\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}[/tex]

Answer:

1. 0.74 = 74%

4. 0.617 = 61.7

6. 68% = 0.68

9. 175% = 1.75

2. 0.15 = 15%

5. 0.834 = 83.4%

7. 34% = 0.34

10. 200% = 2.00

3. 0.09 = 9%

8. 58.5% = 0.585

Step-by-step explanation:

Answer:

where is the problem to solve. please tell me

Answer:

I dont understand what you're saying, but im thinking 7 miles?

Answer:

s=4

Step-by-step explanation:

area of square is side*side

so that means s*s=16

so s = 4

Answer: 168

Step-by-step explanation:

Times the two numbers together to get the combinations.

24x7=168

Possible number of committees formed is equals to 3.

" Number is defined as the arithmetic value which represents the count of any given quantity."

According to the question,

Total number of candidates for positions = 24

Number of candidate selected  for 1 committee = 7

Total possible number of committees = [tex]\frac{24}{7}[/tex]

                                                               = 3.428

                                                               ≈ 3 committees (approximate)

As one committee is formed by 7 candidates , it can not be in decimals or fractions.

Hence, possible number of committees formed is equals to 3.

Learn more about number here

https://brainly.com/question/17429689

#SPJ3

Answer:

I think it'

is A and B

Step-by-step explanation:

hope hwlps

Answer:

y=2x-2

You use rise/run in this problem

Answer:

93.84

Step-by-step explanation:

I think I'm not sure

Answer:

y = -2x + 1

Step-by-step explanation:

Substitute  the slope and the given point into y = mx + b and solve for "b".

y = mx + b

7 = -2(-3) + b

7 = 6 + b

1 = b       the y-intercept is 1

The equation of the line is y = -2x + 1

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

Answer:

y=1/3x-7/2

Step-by-step explanation:

First get the 2y by itself by adding 2/3x to both sides. Then subtract both sides by 2.

Answer:

  (x -10)² +(y +4)² = 272

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:

  (14 -10)² +(12 -(-4))² = r² = 16 +256 = 272

Then for the given center and the value of r² we found, the equation is ...

  (x -10)² +(y +4)² = 272

Usando técnicas de conteo, se encuentra que

1. Un cliente puede ordenar una comida de 784 formas.

2. 420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.

3. 840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.

4. 10 partidos distintos se pueden realizar.

5. Pueden colocarse de 3,628,800 formas.

6. 1260 señales distintas pueden indicarse.

Item 1:

La técnica usada es el principio fundamental de conteo, que afirma que si hay n cosas, cada una con [tex]n_1, n_2, \cdots, n_n[/tex] maneras de seren realizadas, el número total de maneras de ser realizadas es:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

En este problema, [tex]n_1 = 14, n_2 = 8, n_3 = 7[/tex], por eso:

[tex]T = 14 \times 8 \times 7 = 784[/tex]

Un cliente puede ordenar una comida de 784 formas.

Item 2:

El orden es importante, ya que TECN es una palabra diferente de NCET, por lo tanto, la fórmula de permutaciones se usa para resolver este problema.

Fórmula de permutaciociones:

El número de permutaciones de x elementos en un conjunto de n elementos es dada por:

[tex]P_{n,x} = \frac{n!}{(n - x)!}[/tex]

En este problema, 4 letras de 7, enconteces:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

La letra C se repite dos veces, o sea:

[tex]T = \frac{P_{7,4}}{2} = \frac{840}{2} = 420[/tex]

420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.

Item 3:

Permutaciones de 4 dígitos de 7, sin repeticiones, o sea:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.

Item 4:

El orden no es importante, ya que Time 1 x Time 2 es la misma partida de Time 2 x Time 1, por lo tanto, la fórmula de combinaciones se usa para resolver este problema.

Fórmula de combinaciones:

El número de combinaciones de x elementos en un conjunto de n elementos es dada por:

[tex]C_{n,x} = \frac{n!}{x!(n - x)!}[/tex]

En este problema, combinaciones de 2 elementos de un conjunto de 5, entonces:

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

10 partidos distintos se pueden realizar.

Item 5:

El número de arreglos de n elementos viene dado por

[tex]A_n = n![/tex]

En este problema, arreglo de 10 elementos, o sea:

[tex]A_{10} = 10! = 3628800[/tex]

Pueden colocarse de 3,628,800 formas.

Item 6:

El número de arreglos de n elementos, con repeticiones de [tex]n_1, n_2, \cdots n_n[/tex] elementos viene dado por

[tex]A_n^{n_1,n_2,\cdots,n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]

En este problema, [tex]n = 9, n_1 = 3, n_2 = 2, n_3 = 4[/tex], por eso:

[tex]A_9^{3,2,4} = \frac{9!}{3!2!4!} = 1260[/tex]

1260 señales distintas pueden indicarse.

Un problema similar es dado en https://brainly.com/question/19022577

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

Answer:

33

Step-by-step explanation:

Answer:

Step-by-step explanation: