All categories

3 years ago

Write the number in standard form as a decimal

Mathematics

1 answer:

pishuonlain [190]3 years ago

5 0

Answer:

Step-by-step explanation:

<h2>I hope it will help you</h2><h2>please make me brainlest</h2>

<h2><u>THANK</u><u> U</u></h2>

You might be interested in

Solve (x + 2 < 5) ∪ (x - 7 > -6).

dem82 [27]

x + 2 < 5 <em>subtract 2 from both sides</em>

x < 3

x - 7 > -6 <em>add 7 to both sides</em>

x > 1

Answer: 1 < x < 3

7 0

3 years ago

Describe a relationship modeled by the function f(x) = 4x3 − 72x2 + 320x

solmaris [256]

Answer:

A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

Explanation:

To find a relationship modeled by the given function it is recommendable to factor it.

The function is:

$f(x)=4x^3-72x^2+320x$

The first step to factor it is to extract common factor 4x:

$f(x)=4x(x^2-18x+80)$

The second step is to factor the quadratic trinomial.

That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:

$f(x)=(4x)(x-10)(x-8)$

Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

x is the desired (unknown) length

4x is 4 times the desired length

x - 10 is 10 less than the desired length

x - 8 is 8 less than the desired length

Thus, the volume of the prism is the product of the three factors:

Volume = (4x)(x-10)(x-8)

7 0

3 years ago

A firm maintains 22 cars for business purposes. From past experience, it is known that approximately 10% will require major engi

seropon [69]

Answer:

The probability that at most 1 car will require major engine repair next year is P=0.3392.

Step-by-step explanation:

This can be modeled as a binomial random variable, with n=22 and p=0.1.

The probability that exavtly k cars will require major engine repair next year is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}$

Then, the probability that at most 1 car will require major engine repair next year is:

$P(x\leq1)=P(x=0)+P(x=1)\\\\\\P(x=0) = \dbinom{22}{0} p^{0}(1-p)^{22}=1*1*0.0985=0.0985\\\\\\P(x=1) = \dbinom{22}{1} p^{1}(1-p)^{21}=22*0.1*0.1094=0.2407\\\\\\P(x\leq1)=0.0985+0.2407\\\\P(x\leq1)=0.3392$

3 0

3 years ago

Factor

s2008m [1.1K]

Step-by-step explanation:

I hope this helps.........

4 0

2 years ago

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_

AnnZ [28]

Answer:

ds/dt=69743.35m^2/min

Step-by-step explanation:

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_0t 0 t, start subscript, 0, end subscript, the radius is 555 meters. What is the rate of change of the surface area S(t)S(t)S, (, t, )of the sphere at that instant?

If i could understand the question correctly, the typos notwithstanding

r=radius, 555m

dr/dt=rate of change in radius 5m/min

ds/dt=rate of change in surface area ?

S=area of a sphere 4 $\pi r^{2}$