What is 5.67 written in standard form?

9514 1404 393

Answer:

Step-by-step explanation:

The given sides will form a right triangle when ...

  (4x +2)² = (4x -2)² +(x +6)² . . . . . the Pythagorean theorem is satisfied

  16x² +16x +4 = 16x² -16x +4 +x² +12x +36 . . . . eliminate parentheses

  x² -20x +36 = 0 . . . . . simplify to standard form

  (x -2)(x -18) = 0 . . . . . . factor

  x = 2 or 18 . . . . . . . . values of x that make the factors zero

There are two triangles.

For x = 2

  hypotenuse = 4(2) +2 = 10

  leg1 = 4(2) -2 = 6

  leg2 = 2 +6 = 8

  dimensions are 6 m by 8 m with hypotenuse 10 m.

For x = 18

  hypotenuse = 4(18) +2 = 74

  leg1 = 4(18) -2 = 70

  leg2 = 18 +6 = 24

  dimensions are 24 m by 70 m with hypotenuse 74 m.

Recall some limit properties…

• limits distribute over sums:

[tex]\displaystyle \lim_{x\to c}(f(x)+g(x)) = \lim_{x\to c}f(x)+\lim_{x\to c}g(x)[/tex]

• limits distribute over products:

[tex]\displaystyle \lim_{x\to c}(f(x)\times g(x)) = \lim_{x\to c}f(x)\times\lim_{x\to c}g(x)[/tex]

• limits distribute over quotients, provided that the denominator doesn't approach 0 :

[tex]\displaystyle\lim_{x\to c}\frac{f(x)}{g(x)} = \frac{\displaystyle\lim_{x\to c}f(x)}{\displaystyle\lim_{x\to c}g(x)}[/tex]

• if f(x) is continuous at x = c, then the limit "passes through" a composition:

[tex]\displaystyle \lim_{x\to c}f(g(x)) = f\left(\lim_{x\to c}g(x)\right)[/tex]

# # #

(a) This limit is 2. At x = 2, we have f (2) = 1, but from either side of x = 2, we see f(x) approaching the point (2, 2). So

[tex]\displaystyle \lim_{x\to 2}(f(x)+g(x)) = \lim_{x\to2}f(x)+\lim_{x\to2}g(x) = 2+0 = 2[/tex]

(b) This limit does not exist. We would have

[tex]\displaystyle \lim_{x\to1}(2f(x)-3g(x)) = 2\lim_{x\to1}f(x)-3\lim_{x\to1}g(x)[/tex]

but g(x) approaches 2 from the left of x = 1, and g(x) approaches 1 from the right of x = 1. The one-sided limits don't match, so the two-sided limit doesn't exist.

(c) This limit is 0. It looks like f(x) passes through the origin, while g(x) ≈ 3/2 at x = 0. So

[tex]\displaystyle\lim_{x\to0}f(x)g(x) = \lim_{x\to0}f(x)\times\lim_{x\to0}g(x)=0\times\frac32 = 0[/tex]

(d) This limit does not exist since

[tex]\displaystyle \lim_{x\to-1}g(x)=0[/tex]

(e) This limit is 16. Nothing tricky here, just use the same property as in (c).

[tex]\displaystyle\lim_{x\to2}x^3f(x) = \lim_{x\to2}x^3\times\lim_{x\to2}f(x) = 8\times2=16[/tex]

(f) This limit is 1. f(x) is continuous at x = 1, while g(x) approaches 2 from the left.

[tex]\displaystyle\lim_{x\to1^-}f(g(x)) = f\left(\lim_{x\to1^-}g(x)\right) = f(2) = 1[/tex]

Answer: no

Step-by-step explanation:

Answer: The answer is

25 Units

Answer:

36 units

please mark me brainleast

Answer:

ethethe

Step-by-step explanation:

thethetht

Answer:

The monthly payments will be $180.

Step-by-step explanation:

You only have to divide $7560 by the 42 months Mark wished to pay the loan off in.

Answer:

5x5= 25

Step-by-step explanation:

5+5+5+5+5= 25

Answer:

a variable

Step-by-step explanation:

The answer is a variable because it's a letter that stands in place of a number

Answer:

simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z

Answer:

50¢

Step-by-step explanation:

$18.00=1800.

3*12=36

1800/36=50

Answer:

Step-by-step explanation:

the price of per inch is $2

Answer:

c is the answer

Answer:

bbbbbbbbbbbbbbbbbbbbb

From the density in the diagram, the probability that X is between 0.5 and 1.5 is 1/2. Option B

The probability density function of a random variable X is a function that gives the probability that X will take on a certain value.

In this case, the probability density function is a line segment that goes from 0 to 1.

The probability that X is between 0.5 and 1.5 is the area under the probability density function between 0.5 and 1.5.

This area is equal to the length of the line segment between 0.5 and 1.5, which is 1.

Therefore, the probability that X is between 0.5 and 1.5 is 1/2. Option B

Find more exercises on probability density;

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Full question

The Probability Density Of A Random Variable X Is Given In The Following Figure.

.........................................................

|........................................................|

0                       1                             2

                         x

From this density, the probability that X is between 0.5 and 1.5 is:

a. 1/3,

b. 1/2.

c. 3/4

d. 1.

Answer: 8.EB and F: yes

9.DB and FC:no

10.AC and ED:yes

11.AE and DC:yes

12.F,A,B and C:yes

13.F,A,B and D:no

14.plane Q and EC:yes

15.FB and BD:yes

Step-by-step explanation:

hope this helps have a good day!

Answer and Step-by-step explanation:

When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.

The answer is:

100 + 101 + 102 + 103

It adds up to 406, and the integers are consecutive.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Step-by-step explanation:

let the numbers be n,n+1,n+2,n+3

n+n+1+n+2+n+3=406

4n+6=406

4n=406-6=400

n=400/4=100

then the numbers are

100,100+1,100+2,100+3

or

100,101,102,103

Answer:

H = (n/4v) - c

Step-by-step explanation:

I ASSUME the equation is

v = n/(4(c + H))

multiply by (c + H)

v(c + H) = n/4

divide by v

c + H = n/4v

subtract c

H = (n/4v) - c

If the equation is v = (n/4)(c + H)

Then

H = (4v/n) - c

Answer:

402. 5

Step-by-step explanation:

This is your answer hope this helps

And also pls mark me brainliest

Answer:

[tex]3 \times (4 + 7) =( 3 \times 4) + (3 \times 7) \\ thank \: you[/tex]

168

this is the full process

Answer:

Both of them drew the parallelogram right.

Step-by-step explanation:

In Raquel's drawing we can see that the parallelogram is shorter and smaller but both the opposite lines are congruent to each other and match the scale size to the original drawing. And it Felipe's drawing the parallelogram is longer and bigger than the original drawing but the opposite line are also congruent to each other and match the scale size to the original drawing!!

I hope you get it right! :)

Answer:

11

Step-by-step explanation:

Add:

26 + 19 + 43

^       ^

   45 + 43

       88

Divide:

88 / 8 = 11

So, each tank has 11 fish.

Hope this helped.

Answer:

22/5

Step-by-step explanation:

4 [tex]\frac{2}{5}[/tex]

new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22  

=> 22/5

In order for two complex numbers to be equal, their real and imaginary parts must match up.

So if

x ² + 2xy + i (y - 1) = x ² - 2x + 2y - i (x + y)

then

x ² + 2xy = x ² - 2x + 2y

and

y - 1 = -x - y

Solve for x and y : the first equation gives

x ² + 2xy = x ² - 2x + 2y

2xy = 2y - 2x

and the second gives

y - 1 = -x - y

2y = 1 - x

Substitute this into the first equation:

x (1 - x) = (1 - x) - 2x

x - x ² = 1 - 3x

x ² - 4x + 1 = 0

x = 2 ± √3

Then

x = 2 - √3   ==>   y = (-1 + √3)/2

x = 2 + √3   ==>   y = (-1 - √3)/2

both of which make both sides of the equation (2 - √3) + i (√3 - 3)/2.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]6525\text{cm.}^3[/tex]

Keep in mind that this is APPROXIMATE.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex](f+g)(x)=x^2-x-3[/tex]

Step-by-step explanation:

We have [tex]f(x)=2x-1[/tex] and [tex]g(x)=x^2-3x-2[/tex]

Recall that [tex]f+g[/tex] is defined by [tex](f+g)(x)=f(x)+g(x)[/tex], therefore

[tex](f+g)(x)=f(x)+g(x)=2x-1+x^2-3x-2=x^2-x-3[/tex]

Answer:

0.006 is the larger decimal

Answer:

0.006 is the right answer

Step-by-step explanation:

Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.

The required simplified value of the given expression is 16x¹². Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
=(2x³)⁴

As we know that,
[xᵃ]ᵇ = xᵃˣᵇ

So,
(2x³)⁴ = 2⁴x³ˣ⁴
        = 16x¹²

Thus, the required simplified value of the given expression is 16x¹².

Learn more about simplification here:

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Step-by-step explanation:

that means the expression is the result of a multiplication with (x-0.5) being one factor.

so, we divide the whole expression by this and then deal with the remaining quadratic equation.

6x³ - 13x² + x + 2 / x - 0.5 = 6x² - 10x - 4

- 6x³ - 3x²

----------------------------

- 10x² + x + 2

- - 10x² + 5x

----------------------------

- 4x + 2

- - 4x + 2

----------------------------

finished. 0

so, the whole expression is also

P(x) = (x-0.5)×(6x² - 10x - 4)

now we need to find the 2 zero points of the quadratic part.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 6

b = -10

c = -4

x = (10 ± sqrt(100 - 4×6×-4))/12 =

= (10 ± sqrt(100 + 96))/12 = (10 ± sqrt(196))/12 =

= (10 ± 14)/12

x1 = (10+14)/12 = 24/12 = 2

x2 = (10-14)/12 = -4/12 = -1/3