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3 years ago

How do you write 7.369E6 in standard form?

Mathematics

1 answer:

melamori03 [73]3 years ago

3 0

$\\ \bull\sf\dashrightarrow 7.369E6$

$\\ \bull\sf\dashrightarrow 7.369\times 10^6$

$\\ \bull\sf\dashrightarrow 7369\times 10^{-3}\times 10^6$

$\\ \bull\sf\dashrightarrow 7369\times 10^3$

$\\ \bull\sf\dashrightarrow 7369000$

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To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it

Nadya [2.5K]

Answer:

ρ_air = 0.15544 kg/m^3

Step-by-step explanation:

Solution:-

- The deflated ball ( no air ) initially weighs:

m1 = 0.615 kg

- The air is pumped into the ball and weight again. The new reading of the ball's weight is:

m2 = 0.624 kg

- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.

m_air = Δm = m2 - m1

m_air = 0.624 - 0.615

m_air = 0.009 kg

- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:

V_air = 4*π*r^3 / 3

V_air = 4*π*0.24^3 / 3

V_air = 0.05790 m^3

- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:

ρ_air = m_air / V_air

ρ_air = 0.009 / 0.05790

Answer: ρ_air = 0.15544 kg/m^3

4 0

3 years ago

Read 2 more answers

Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio

OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros. We find these zeros by factoring the given polynomial. The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0). If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4. If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2. Same for the 5. The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out. That means that we need to find the product of

(x + 4)(x + 2)(x - 5). Do the first 2 terms, then multiply in the third.

$(x+4)(x+2)=x^2+2x+4x+8$ , which simplifies to

$x^2+6x+8$

No we multiply in the final factor of (x - 5):

$(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40$ which simplifies to

$f(x)=x^3+x^2-22x-40$

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5. If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0

3 years ago

Help I do not understand

tamaranim1 [39]

$\bf \begin{cases}
f(x)=\cfrac{x}{x-9}
\\ \quad \\
g(x)=\cfrac{-x}{x-3}
\end{cases}\qquad f(x)+g(x)\implies \cfrac{x}{x-9}+\cfrac{-x}{x-3}$

get their LCD, like you'd with any other fractions, and add them up

5 0

3 years ago

Explain the distance formula. Then use it to calculate the

Alex777 [14]

Answer:

$dAB=10\ units$

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$