A father and his two sons wanted to measure the distance between the two tallest trees in the City Garden by their footsteps. It was winter and there was a fresh snow in the garden, so they decided to start measuring from the same tree by walking one after another straight to the other tree. The father's footstep is 32 inches long, while the same for his sons is 28 inches and 24 inches. In what distance, in feet, the three footsteps would overlap first time?

Answer:

t = 1

Step-by-step explanation:

t + 25 = 26

Subtract 25 from each side

t = 1

Answer:

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

Hope this helps you

Answer:

5/6

Step-by-step explanation:

y+4-y+1=6y

5=6y

y=5/6

Solution for (y+4)-(y-1)=6y equation:

Simplifying

(y + 4) + -1(y + -1) = 6y

Reorder the terms:

(4 + y) + -1(y + -1) = 6y

Remove parenthesis around (4 + y)

4 + y + -1(y + -1) = 6y

Reorder the terms:

4 + y + -1(-1 + y) = 6y

4 + y + (-1 * -1 + y * -1) = 6y

4 + y + (1 + -1y) = 6y

Reorder the terms:

4 + 1 + y + -1y = 6y

Combine like terms: 4 + 1 = 5

5 + y + -1y = 6y

Combine like terms: y + -1y = 0

5 + 0 = 6y

5 = 6y

Add '-6y' to each side of the equation.

5 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0

5 + -6y = 0

Add '-5' to each side of the equation.

5 + -5 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0

0 + -6y = 0 + -5

-6y = 0 + -5

Combine like terms: 0 + -5 = -5

-6y = -5

Divide each side by '-6'.

y = 0.8333333333

Simplifying

y = 0.8333333333

A and B is not, because if you were to make the A bigger it'll be the same as B, so I think is C

Answer:

  [tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]

Step-by-step explanation:

√11 is about 3.32.

Smallest-to-largest, the numbers are ...

  [tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]

Answer:

6

Step-by-step explanation:

got it right

Answer:

x-40%-16%

Step-by-step explanation:

Answer:

1/81

Step-by-step explanation:

[tex] \huge \bigg( \frac{1}{3} \bigg)^{4} = \frac{1}{ {3}^{4} } = \frac{1}{81} \\ [/tex]

Answer:

[tex]f_x(x,y,z)=4\sin (y-z)[/tex]

[tex]f_x(x,y,z)=4x\cos (y-z)[/tex]

[tex]f_z(x,y,z)=-4x\cos (y-z)[/tex]

Step-by-step explanation:

The given function is

[tex]f(x,y,z)=4x\sin (y-z)[/tex]

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

[tex]f_x(x,y,z)=4(1)\sin (y-z)[/tex]

[tex]f_x(x,y,z)=4\sin (y-z)[/tex]

Differentiate partially w.r.t. y and x, z are constants.

[tex]f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)[/tex]

[tex]f_y(x,y,z)=4x\cos (y-z)[/tex]

Differentiate partially w.r.t. z and x, y are constants.

[tex]f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)[/tex]

[tex]f_z(x,y,z)=4x\cos (y-z)(-1)[/tex]

[tex]f_z(x,y,z)=-4x\cos (y-z)[/tex]

Therefore, the first partial derivatives of the function are [tex]f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)[/tex].

Answer:

i would say c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the quadratic function  

As per given function:

Then

This time is approximately mid 2012.

Considering this in the function, to get oil import rate for the same time:

Rounded to two significant figures, the greatest oil import rate was:

.....................................................................................................................................................................................................................................................................

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The answer is 35 degrees

The measure of <XYZ is 35 degrees

To find the measure of<XYZ, we will use the expression as shown below:

The angle at the vertex is half the difference of the intercepted arcs

<XYZ = 1/2(175 - 105)

<XYZ = 1/2(70)
<XYZ = 35 degrees

Hence the measure of <XYZ is 35 degrees

Learn more on geometry here: https://brainly.com/question/24375372

Answer:

  45 minutes

Step-by-step explanation:

At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...

  t = d/s

  t = (7.5 mi)/(10 mi/h) = 0.75 h

to catch Peter.

Mitchell will catch Peter in 45 minutes.

__

Alternate Solution

Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:

  3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter

_____

You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.

Answer:

Step-by-step explanation:

I - 18I = 18

I - xI = x    

Answer:

positive 18

Step-by-step explanation:

The absolute value of any number is just how far that number is from 0 on a number line

here are a few examples

|-23| = 23

|47| = 47

|-11| = 11

As you can see, in all 3 examples all numbers are positive.

To make it easier to understand, the absolute value of any numer is that number, but positive. Absolute values will always be positive no matter what.

HOPE THIS HELPED DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE A 5 STAR AND A HEART FOR SUPPORT. LEAVE A COMMENT FOR ANY FURTHER QUESTIONS ABOUT THIS ANSWER. HAVE A NICE DAY!!

Answer:

[tex]3.5[/tex]

Step-by-step explanation:

The value of [tex]|-3.5|[/tex] is [tex]3.5[/tex], because you have [tex]|-3.5|[/tex] and it will change to [tex]3.5[/tex] by the absolute value, which it turned from negative to a positive.

Answer:

Step-by-step explanation:

FG=7

5x - (2x - 1) = 2

Distribute the - sign.

5x - 2x + 1 = 2

Combine like terms.

3x + 1 = 2

Subtract 1 from both sides.

3x = 1

Divide both sides by 3

x = 1/3 or 0.33

Answer:

wow dis might take a while to solve

(5 - 2i)^2

Simplify.

25 - 20i + 4i^2

Remember that i^2 = -1.

25 - 20i - 4

Combine like terms

21 - 20i

5445,568

Step-by-step explanation:

Answer:

P(x < 3) = 0.42319

Step-by-step explanation:

From the given information:

The mean density [tex]\lambda =[/tex] 3

Let x be the random variable that follows a Poisson distribution.

Therefore:

[tex]\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}[/tex]     for x =1, 2, 3...

However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:

[tex]\mathtt{P(x <3 ) = \dfrac{e^{-3}3 ^0}{0!}+ \dfrac{e^{-3}3 ^1}{1!}+ \dfrac{e^{-3} 3 ^2}{2!} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{3 ^0}{0!}+ \dfrac{3 ^1}{1!}+ \dfrac{3 ^2}{2!} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{1}{1}+ \dfrac{3 }{1}+ \dfrac{9}{2} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} 1+3+ 4.5 \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix}8.5 \end {pmatrix} }[/tex]

P(x < 3) = 0.42319

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{A. 7 / 18}[/tex]

[tex]\text{Convert 2 4/7 into an improper fraction:}\\\\2*7 + 4 = 18 \\\\\text{(To find the numerator of the fraction)}\\\\\text{Fraction in improper form: 18/7}\\\\\text{Reciprocal of fraction: Swap numerator and denominator:}\\\\18/7 \text{ becomes } 7 / 18[/tex]

Answer: 2/6

Step-by-step explanation:

Answer:

[tex]\frac{2}{6}[/tex]

Step-by-step explanation:

In order to create an equal ratio to [tex]\frac{1}{3}[/tex], we need to find a constant to multiply both the numerator and the denominator by.

Let's do 2.

[tex]1\cdot 2 = 2\\\\3\cdot 2 = 6\\\\[/tex]

So:

[tex]\frac{2}{6}[/tex]

Hope this helped!

Answer:

20g

since mass should be in kg or gram if small then g

So first, we must figure out how many dollars = pesos

1 United States Dollar equals

22.38 Mexican Peso

With this, we convert the Dollars from the math problem, to the pesos in the math problem, which is done for us. So we have to figure out how much pesos equal a dollar.

510 Mexican Peso equals

22.80 United States Dollar

Answer:

A.) 24.08 seconds

B.) 825.42 metres

Step-by-step explanation:

function of time is given as

h ( t ) = − 4.9 t 2 + 118 t + 115 .

Where a = -4.9, b = 118, c = 115

Let's assume that the trajectory of the rocket is a perfect parabola.

The time t the rocket will reach its maximum height will be at the symmetry of the parabola.

t = -b/2a

Substitute b and a into the formula

t = -118/-2(4.9)

t = 118/9.8

t = 12.041 seconds

Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.

2t = 2 × 12.041 = 24.08 seconds

Therefore, the rocket splashes down after 24.08 seconds.

B.) At maximum height, time t = 12.041s

Substitute t for 12.041 in the function

h ( t ) = − 4.9 t 2 + 118 t + 115

h(t) = -4.9(12.041)^2 + 118(12.041) + 115

h(t) = -4.9(144.98) + 118(12.041) + 115

h(t) = -710.402 + 1420.82 + 115

h(t) = 825.42 metres

Therefore, the rocket get to the peak at 825.42 metres

Answer:

option A

Step-by-step explanation:

f(3)=3*27-2*9-12-1

=81-18-12-1

=81-31

=50

HOPE IT HELPS

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