The velocity of a roller coaster as it moves down a hill is v=√v²+64h. where v is the initial velocity and h is the vertical drop in feet. the designer wants the coaster to have a velocity of 200 feet per second when it reaches the bottom of the hill. if the initial velocity of the coaster is 30 feet per second, how high should the designer make the hill?

Answer:

Linear

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form: f(x) - mx +b

Hope this helps! :)

Answer:

x = 4.5

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then

the segment is half the length of the 3rd side, that is

5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )

x = 4.5

Answer:

201.53[tex]m^{2}[/tex]

Step-by-step explanation:

That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.

Let's first find the hexagonal base.

The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m

Solve that to find that the area of the hexagon is 93.53m^2.

Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.

6 * 6 = 36

36 / 2 = 18

Hence, the area of one triangle is 18m^2

However, there are six triangles - not just one!

6 * 18 = 108

Adding everything up:

93.53 + 108 = 201.53

The answer is 201.53m^2

Answer:

The answer would be 333.334 jumps.

Step-by-step explanation:

So remember, there are 1000 meters in 1 kilometer. The frog can jump 3 meters. The nearest water is 1 kilometer. So, lets divide 1 km(1000m) by 3m:

1000/3

=

333.34

This is the answer.

Hope this helps!

Answer:

for what subject?

geometry

trig

algebra

Answer:

I think it's 3 but maybe ask your teacher to check :o

Step-by-step explanation:

Answer:

£200

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of the ratio , then

4 parts = 4 × £50 = £200 ← amount Dave gets

Answer:

Step-by-step explanation:

d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)

Indefinite integral:

integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant

Global minimum:

min{2 n^2 + 12 n + 18} = 0 at n = -3

Answer:

4⁷

Step-by-step explanation:

Rule of exponents is:

aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾

4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷

Answer:

Step-by-step explanation:

Answer:

Mitochondria is the power house of a cell

Step-by-step explanation:

Answer:

Mitochondria

Step-by-step explanation:

Trust me they will ask you on every interview this question Your welcome

In a right triangle, the hypotenuse is √2 x the legs. In this case, the value of x is [tex]\frac{18}{\sqrt{2} } =\frac{18\sqrt{2} }{2} =9\sqrt{2}[/tex].

Hope this helps you.

Answer:

for what question i dont see the quetsion

Step-by-step explanation:

Answer:

The first term in the resulting subtraction expression is 96.

Step-by-step explanation:

Given - After applying the distributive property to the expression 8(12-4) and then multiplying

To find - What will be the first term in the resulting subtraction expression ?

Proof -

Given the expression is -

8( 12 - 4) = 8(12) - 8(4)

              = 96 - 32

⇒8( 12 - 4) = 96 - 32

So,

The first term in the resulting subtraction expression is 96.

Answer:

y - 4 = 3(x-3)

Step-by-step explanation:

Answer:

-2.4

Step-by-step explanation:

Given data

We have the expression before us as

−4.5 + p6= −18.9

Collect like terms

p6= −18.9+4.5

p6= -14.4

Divide both sides by 6

p= -14.4/6

p=-2.4

Hence the value of p= -2.4

Answer:

That one answer you see below is wrong

Step-by-step explanation:

Thats it

Answer:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D

Given:

The two vectors are:

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

To find:

The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].

Solution:

We have,

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

The cross product of these two vectors is:

[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]

Now the magnitude of the cross product is:

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]

Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].

Answer:

B. A. D.

Step-by-step explanation:

Answer:

3 hours

160 - 55 = 105

105 ÷ 35 = 3

Answer:

3 hours

Step-by-step explanation:

First, we must turn this into an equation:

35n + 55 = 160

N = number of hours

Next, solve:

35n + 55 - 55 = 160 - 55

35n = 105

n = 3

The plumber was there for 3 hours.

Answer:

x=-40,0

y=0,15

Step-by-step explanation:

intercepts are points where the graph cuts the axes

Answer:

(- 40, 0 ) and (0, 15 )

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses, then

x- intercept = (- 40, 0 )

The y- intercept is the pont on the y- axis where the line crosses, then

y- intercept = (0, 15 )

Answer:

X Midpoint -2   Y Midpoint -0.5

Answer:

(-2, -.5)

Step-by-step explanation:

2-6=-4                                           -1+0=-1

-4/2=-2                                           -1/2=-.5

Answer:

(10,54) and (11,59)

Step-by-step explanation:

those ordered pairs are the closest to one another.

Answer:

500m

Step-by-step explanation:

a rectangle has 4 sides, so 30=60 and 20=40

60x5=300

40x5=200

300+200=500

500m

reason of 500

The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.

Answer:

Primero, para un caso discreto, el índice de asimetría de Fisher se calcula como:

[tex]\frac{\sum(xi - M)*n_i}{N*S_x}[/tex]

Donde:

xi son los i-esimos distintos valores de nuestro conjunto de datos.

M es la media

N es el numero de datos

ni es la frequencia absoluta de cada xi

Sx es la desviacion tipica

Podemos ver que en el caso discreto, escribimos el coeficiente con una sumatoria, lo cual realmente no podemos hacer para una variable continua.

Lo que si podemos hacer para una variable continua, es una integral, donde como esta vez tenemos una variable continua, podemos definir una función:

f(X) = frequencia absoluta para X.

Y escribir el coeficiente como:

[tex]\frac{\int\limits^a_b {(X - M)*f(x)} \, dx }{N*S_x}[/tex]

Entonces si, es posible definir el índice.

Answer:

the answer is 396 beacsue i followed yiur instucton on the note answer.

Step-by-step explanation:

Answer:

9^28

Step-by-step explanation:

It's 9^ 28

remember when we are raising exponents to a power we are multiplying the exponent

Answer:

B

Step-by-step explanation:

When a number to a power of something is multiplied to another exponent, you multiply the exponent values. 7* 4 = 28

Answer:

x=9.43mm

Step-by-step explanation:

H= A/C

H=9.15/cos(14)=9.43mm

Answer:

9.43

Step-by-step explanation:

If x = 2.28

pythagoras theory that a^2 + b^2 = c^2

so 9.15^2 + 2.28^2 = 88.920

[tex]\sqrt88.920[/tex]=9.429

Answer: 11/38

Step-by-step explanation: x - y v q r 2÷x029 2%.091 57rq x2 = 11/38

Answer:

$88

Step-by-step explanation:

cost to replace the felt = Area of a rectangle x felt cost per square foot

Area = length x width

5 x 8 = 40

cost of replacement = 40 x 2.2 = 88