All categories

3 years ago

Which algebraic expression represents "the product of a number and eight"? 8 + n 8n n – 8 StartFraction n Over 8 EndFraction

Mathematics

2 answers:

sukhopar [10]3 years ago

7 0

Answer:

Step-by-step explanation:

edguenity 2020-2021

matrenka [14]3 years ago

4 0

Answer: 8n

Step-by-step explanation:

Suppose the number is 'n'

Its product with number eight is given by

$\Rightarrow n\times 8=8n$

You might be interested in

Original price: $55 Discount: Sale Price $46.75

skad [1K]

Answer:

Original price: $

Discount percentage:

46.75

Results

Discount:

$25.71

Final Price:

$29.29

Step-by-step explanation:

4 0

3 years ago

Write Y=5/3 x - 6/8 in standard form

ratelena [41]

Answer:

standard form is Ax + By = C where A, B and C are all integers.

y=5/3x-6/8 First, multiply by LCD 24:

24y = 40x -18

40x - 24y = 18

Division by 2 is recommended (this is because 6/8 should have been reduced to 24, making LCD just 12):

20x - 12y = 9

Step-by-step explanation:

3 0

4 years ago

In the following triangle what is the length of the hypotenuse?

Daniel [21]

Answer:

Hypotenuse: 6

Step-by-step explanation:

Sin45°=(BC/AC)

Sin45°=(3√2/AC

1/√2=3√2/AC

AC=3×2=6

so hypotenuse = 6

hope it helps

have a great day!!

4 0

3 years ago

Read 2 more answers

Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer

Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation $16x^4 - 24x^3 +9x^2 =0$

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation $16x^4 - 24x^3 +9x^2 =0$

$x^2(16x^2-24x+9)=0$

Either $x^2=0$ or $16x^2-24x+9=0$

When $x^2=0$

$x=0$

When $16x^2-24x+9=0$

Solve by quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}$

$x=\frac{24\pm\sqrt{0}}{32}$

$x=\frac{24}{32}$

$x=\frac{3}{4}$

$x=0.75$

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0

3 years ago

Computers require fans to keep them from overheating. Let T be the random variable representing the lifetime of a particular mak

ikadub [295]

Answer:

a) 4.98% of computer fans which will give at least 10,000 hours of service.

b) 3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X < x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X < x) = 1 - e^{-\mu x}$

In this problem, we have that:

$\mu = \lambda = 0.0003$

(a) Find the proportion of computer fans which will give at least 10,000 hours of service.

Either it gives less 10,000 hours of service, or it gives at least 10,000. The sum of the probabilities of these events is decimal 1. So

$P(X < 10000) + P(X \geq 10000) = 1$

We want $P(X \geq 10000)$ . So

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.0003*10000} = 0.9502$

$P(X \geq 10000) = 1 - 0.9502 = 0.0498$

4.98% of computer fans which will give at least 10,000 hours of service.

(b) If the fan is redesigned so that exponential lifetime distribution now has parameter λ = 0.00035, would you expect more fans or fewer fans to live for at least 10,000 hours?

Now $\mu = \lambda = 0.00035$

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.00035*10000} = 0.9698$

$P(X \geq 10000) = 1 - 0.9698 = 0.0302$

3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

6 0

4 years ago