Find the length of side x in simplest radical form with a rational denominator

Answer:

His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.

Answer:

A

Step-by-step explanation:

it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2

Answer:

Step-by-step explanation:

ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

Answer:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Step-by-step explanation:

A standard polynomial in factored form is given by:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]

Simplify:

[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]

Expand the second and third factors:

[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]

Hence, our function is now:

[tex]f(x)=a(x-2)(x^2+64)[/tex]

It equals 320 when x = 4. Therefore:

[tex]320=a(4-2)(4^2+64)[/tex]

Solve for a. Evaluate:

[tex]320=(2)(80)a[/tex]

So:

[tex]320=160a\Rightarrow a=2[/tex]

Our third-degree polynomial equation is:

[tex]f(x)=2(x-2)(x^2+64)[/tex]

Answer:

f(x)=2(x-2)(x^2+64)

Step-by-step explanation:

Answer:

it is data

Step-by-step explanation:

just look at it and describe its properties

Bye,

Canus Lupus

Answer:

Interest = [tex] \boxed{\$ 789.75} [/tex]

Explanation:

Interest [I] = principle × rate × time [prt]

______________________________

x% = x/100

a b/c = a + (b/c) = (ac + b) / c

______________________

I = prt

I = ($1,950)(4 ½%)(9)

I = ($1,950)(0.045)(9)

I = ($87.75)(9)

I = ($789.75)

I = $789.75

1 minute = 60 seconds.

3 minutes x 60 seconds = 180 seconds.

180 seconds / 20 = 9

25 liters x 9 = 225

Total water in 3 minutes = 225 liters

Answer:

225 liters

Step-by-step explanation:

There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes

25   20

50   40

75   60

100  80

125  100

150  120

175   140

200  160

225  180

Answer:

[tex]P(X=8) = 0.0194[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

[tex]P(X \ge 1)= 1[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Step-by-step explanation:

Given

[tex]\lambda = 15[/tex]

Poisson distribution is given by:

[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Solving (a): 8 bugs

This implies that:

[tex]x = 8[/tex]

So, we have:

[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]

[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]

[tex]P(X=8) = 0.0194[/tex]

Solving (b): At least 8 bugs

This is represented as: [tex]P(X \ge 8)[/tex]

Using complement rule:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

Where

[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]

[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]

[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]

[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]

[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]

[tex]P(X<8) = 0.0180[/tex]

So:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

[tex]P(X \ge 8)= 1 - 0.0180[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

Solving (c): At least 1

This is represented as: [tex]P(X \ge 1)[/tex]

Using complement rule:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X<1) = P(X = 0)[/tex]

[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]

[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]

[tex]P(X<1) = e^{-15}[/tex]

So:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X \ge 1)= 1 - e^{-15[/tex]

[tex]P(X \ge 1)= 0.99999969409[/tex]

[tex]P(X \ge 1)= 1[/tex]

Solving (d): Not more than 1

This implies at most 1.

It is represented as:

[tex]P(X\le 1)[/tex]

It is calculated using:

[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]

[tex]P(X = 0) = e^{-15}[/tex]

[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]

[tex]P(X=1) = 15 * e^{-15}[/tex]

So:

[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]

[tex]P(X\le 1) = 0.00000489443[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Answer:

what grade are u?

Step-by-step explanation:

I'm assuming you want to know what "x"is. If so then for the first one x is 1/7. For the second one x= 5. And the last one is x= 3.

Step-by-step explanation:

To check you just substitute what ever x equals into the equation so 35x+5=10 would be 35(1/7)+5=10 and it should equal 10=10, which means infinite solutions. If you were not trying to find out what x equals then what are you looking for exactly?

23.4 ft2

Step-by-step explanation:

jvuctctctcrxrxrxrxrxr

Answer:

A = (-7,6)

B = (2,4)

C = (-6,0)

Step-by-step explanation:

A = (-9 + 2, 2 + 4)

B = (0 + 4, 0 + 4)

C = (-8 + 2, -4 + 4)

Answer:

15

Step-by-step explanation:

Answer:

It says 15 18 is correct

Step-by-step explanation:

Step-by-step explanation:

Perimeter of rectangle = 2(l+b)

= 2(97+17)

= 2(114)

= 228cm

Answer:

P = 228 inches

Step-by-step explanation:

P = 2(l + w)

l = 97 inches

w = 17 inches

P = 2 (97 + 17)

P = 2 x 114

P = 228

Answer:

6m-2m+12 and 4(m+3)

Step-by-step explanation:

4(m+12)=4m+48❎

3m-m+12=2m+12❎

6m-2m+12=4m+12✅

4(m+3)=4m+12✅

Answer:

p(x) = x^2 - 8x + 41

Step-by-step explanation:

If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.

p(x) = [x - (4 - 5i)][x - (4 + 5i)]

p(x) = [(x - 4) + 5i][(x - 4) - 5i]

Now it's a difference of two squares.

p(x) = (x - 4)^2 - (5i)^2

p(x) = x^2 - 8x + 16 + 25

p(x) = x^2 - 8x + 41

Answer:

Undefined or no values (assuming no negative zero)

Step-by-step explanation:

The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

Answer: 904.32  cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = [tex]V = \frac{4}{3}\pi r^{3} \\[/tex]

Substitute pi for 3.14 and radius for 6. 6^3 = 216

[tex]\\V = \frac{4}{3}\ (3.14)( 216) \\\\[/tex]

Multiply them together, the answer is 904.32  cubic units.

Answer:

p = 16.8

[tex] r \geqslant 5.5[/tex]

Step-by-step explanation:

12)

p + 2.1 = 18.9

p = 18.9 - 2.1

p = 16.8

13)

[tex]r \geqslant 5.5[/tex]

Answer:

A) $6.87

B) $3.09

Step-by-step explanation:

Answer:

6v + 12

Step-by-step explanation:

2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12

Hope this helps =]

Answer:

4

a. 12

b. 8

c. 30

d. 40

Step-by-step explanation:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

so first its 4

a. 12

b. 8

c. 30

d. 40

i will try to explain:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

Answer:

43.96

Step-by-step explanation:

Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.

Answer:

14π cm

Step-by-step explanation:

Circumference of the circle

= 2πr

= 2π(14/2)

= 14π cm

Answer:

48 meals

Step-by-step explanation:

36lbs ÷ 3/4lbs = 48