Troy is chasing his little brother kyle,but kyle got a 30 second head start.if kyle is traveling at 2 feet per second on

Answer:

Step-by-step explanation:

Start a little more generally. Carefully find k

distance = k * speed ^2      

112 = k*40^2

112 = k * 1600                     Divide by 1600

112/1600 = k

k = 0.07

Now do the question you are asked to do.

distance = k * speed^2

distance = 0.07 * 65^2

distance = 295.75

Now having done that, you can set up a proportion.

d1 / d2 = k speed1^2/kspeed2^2      Cancel the ks

112/d2 = 40^2 / 65^2                         Cross multiply

112 * 65^2 = 40^2 * d2                      Divide by 40^2

112 * 65^2/40^2 = d2                        Expand the squares

112 * 4225 / 1600 = d2

295.75 = d2    

The second way is shorter, but I suggest the long way until you get comfortable with it.

Step-by-step explanation:

The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?

Call the random variable x.

Now, define a new variable y = x - 5. Note that x - 10 = y - 5.

So, it is clear that (x-10)^3 = (y-5)^3

Also, note that (y-5)^3 can be expanded as follows:

Expand (y-5)³

Result ; y³-15 y²+75 y - 125

Letting E denote expectation with respect to the random variable x, we see that

E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125

Again, recalling that y = x - 5, have

E(y^3) = 140

E(y^2) = 20

E(y) = E(x) - 5 = 5 - 5 = 0

Thus,

E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285

Finally, note that

E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]

So, we get E[(x-10)^3] = -285.

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

x^2 - 4x - 12

=x^2 - 6x + 2x - 12

=x( x - 6) + 2(x - 6)

=(x - 6)(x + 2)

Answer:

x^2 -4x-12

factorization of 12 =2×2×3 = 6×4

or in the place of 4x = we put (6-2)x

x^2-(6-2)x-12

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6) (x+2)

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

Learn more here:https://brainly.com/question/12547932

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]

Step-by-step explanation:

A 45° angle is complementary to angle

45°+x°=90°

I hope it helped U

stay safe stay happy

Answer:

I got B and C.

Step-by-step explanation:

When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.

Step-by-step explanation:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Hope that helps

The percentage of 45 out of 120 is 38%  thus 38% calories from fat.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

Total calories = 120

Calories from fat = 45

Fraction of calories from fat = 45/120 = 0.38

Percentage of calories from fat out of total calories ⇒

(45/120) × 100 = 38%

Hence "The percentage of 45 out of 120 is 38%  thus 38% calories from fat".

For more about the percentage,

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Answer:

Step-by-step explanation:

We mark checks as negative and a deposit as positive:

Add up to get the total change of:

Correct choice is D

Answer:

Answer :-

Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>

-40 - 35

-75

Option D is correct mate!

Answer:

[tex]25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you[/tex]

Answer:

2nd option and last option

Step-by-step explanation:

the first option is an equation: it has a solution.

the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.

the third option is an equation since it has the equal sign, and thus, has a solution.

the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)

lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.

Answer:

D

Step-by-step explanation:

im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.

a isn't correct since 9 isn't is a prime number.

b isn't correct because you wouldn't use decimals typically.

c isn't correct because 1 is not a prime number.

d is the only correct solution since all the numbers listed are prime numbers.

Answer:

+1 is the answer

Step-by-step explanation:

-19-(-10)

-19+10

+1

Answer: g(x) = (x+1)-3

Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!

Answer:  1.125 miles

Step-by-step explanation:

(A)

Step-by-step explanation:

The meal cost $45.25 so 20% of this for tip is

($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.

Answer:

I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2

Step-by-step explanation:

The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)

cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2

Let's expand this to c^2 -2cx + x^2 = a^2 + h^2

Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2

pls vote me brainliest if i was able to help you!! <3

Divide total people by total flights:

3720/31 = 120

There was 120 people on each flight

Answer:

[tex](x + 7) \times (3x - 4)[/tex]

Step-by-step explanation:

[tex] {3}^{2} + 17x - 28[/tex]

[tex]3 {x}^{2} + 21x - 4x - 28[/tex]

[tex]3 \times x(x + 7) - 4x - 28[/tex]

[tex]3x \times ( x + 7) - 4(x + 7)[/tex]

[tex](x + 7) \times (3x - 4)[/tex]

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

Given information

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

Given formula

Circumference = 2πr

Substitute values into the formula

Circumference = 2 · (3.14) · (1.25)

Simplify by multiplication

Circumference = (2.5) · (2.14)

Circumference = [tex]\boxed {7.85 inches}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·2.5≈7.85398in

168

this is the full process

Answer:

$9000

Step-by-step explanation:

36000:4=$9000

Answer:

1 hour 12 minutes

Step-by-step explanation:

1.2 × 60 = 72 minutes

72-60 = 12 minutes

9514 1404 393

Answer:

  A.  2×10³

Step-by-step explanation:

The ratio of diameters is ...

  (189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³

The diameter of the peach became about 2×10³ times as large.

Answer:

Gradient: m = -3/4

Step-by-step explanation:

Please view the PDF attached for full step by step explanation

Answer:

csc x sec x

Step-by-step explanation:

csc = 1/sin

1/sin^2    /  cos/sin    =   1 / sin^2    *  sin/cos       =   1 / sin cos  = csc sec

Answer:

go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.

Step-by-step explanation:

Answer:

The first choice.

Step-by-step explanation:

Domain = x value (first value in a coordinate pair: (x,y))

Range = y value

A function cannot have a repeating Domain value.

This eliminates the last option since -4 is used twice.

The second option has 11 as a y value but it is not in the range.

The third option has 10 as an x value but it is not in the domain.

Answer:

=288

Step-by-step explanation:

(4yz)-3(x)

(4(4)(2))-3(-3)

(4x8)x9

32x9

288

Answer:

the point (9,-12) is also on the line

Step-by-step explanation:

by using the 2 points the equation is y=-4/3x

use x of 9

y = -12

it will also represent a direct variation function

so two of the 4 will be correct

Answer:

The point (9,-12) is also on the line

Step-by-step explanation:

Please give brainliest