Tyler simplified the 5^4 *5^-9

Answer:

- 6

Step-by-step explanation:

3 - 9 = -6

Answer:

Step-by-step explanation:

[tex]3 + (-9) \\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=3-9\\\\\mathrm{Subtract\:the\:numbers:}\:3-9\\=-6\\[/tex]

Answer:

0.9487

Step-by-step explanation:

a) The probability of having a defective product = p = 12% = 0.12

The probability of not having a defective product = q = 1 - p = 1 - 0.12 = 0.88

The number of DVD players = n = 50

X is the number of defective products.

The  probability that a skid of 50 DVD players will contain at least 3 defective units = P(X ≥ 3) = 1 - P(X ≤ 2)

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using binomial:

P(X = 0) = [tex]C(n,x)p^xq^{n-x}=C(50,0)p^0q^{50-0}=\frac{50!}{(50-0)!0!}*0.12^0*0.88^{50-0}=0.0017[/tex]

P(X = 1) = [tex]C(n,x)p^xq^{n-x}=C(50,1)p^1q^{50-1}=\frac{50!}{(50-1)!1!}*0.12^1*0.88^{50-1}=0.0114[/tex]

P(X = 2) = [tex]C(n,x)p^xq^{n-x}=C(50,2)p^2q^{50-2}=\frac{50!}{(50-2)!2!}*0.12^2*0.88^{50-2}=0.0382[/tex]

P(X ≤ 2)= 0.0017 + 0.0114 + 0.0382 = 0.0513

P(X ≥ 3) = 1 - P(X ≤ 2) = 1 - 0.0513 = 0.9487 = 94.87%

Answer:

1.25+√3 or 2.9821 to the nearest ten thousandth.

Step-by-step explanation:

sin 60 = √3/2,  tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4

So we get 2 *√3/2 + 1 + 1/4

= √3 +  1.25

Answer:

[tex] \boxed{\sf 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \ 60^{\circ} = 2.98} [/tex]

Step-by-step explanation:

We know:

[tex] \sf sin \: 60 ^{ \circ} = \frac{ \sqrt{3} }{2} \\ \\ \sf tan \: 45 ^{ \circ} = 1 \\ \\ \sf cos \: 60 ^{ \circ} = \frac{1}{2} [/tex]

So,

[tex] \sf \implies 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \: 60^{ \circ} \\ \\ \sf \implies \cancel{2} \times \frac{ \sqrt{3} }{ \cancel{2}} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + \frac{1}{4} \\ \\ \sf \implies \sqrt{3} + 1 + 0.25 \\ \\ \sf \implies 1.25 + \sqrt{3} \\ \\ \sf \implies 1.25 + 1.73 \\ \\ \sf \implies 2.98[/tex]

Answer:

[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]

Step-by-step explanation:

To complete the square, we first have to get our equation into [tex]ax^2 + bx = c[/tex] form.

First we add 16x to both sides:

[tex]x^2 + 16x + 62 = 0[/tex]

And now we subtract 62 from both sides.

[tex]x^2 + 16x = -62[/tex]

We now have to add [tex](\frac{b}{2})^2[/tex] to both sides of the equation. b is 16, so this value becomes [tex](16\div2)^2 = 8^2 = 64[/tex].

[tex]x^2 + 16x + 64 = -62+64[/tex]

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because [tex]8\cdot8=64[/tex] and [tex]8+8=16[/tex].

[tex](x+8)^2 = -62 + 64[/tex]

We can now take the square root of both sides.

[tex]x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}[/tex]

We can now isolate x on one side by subtracting 8 from both sides.

[tex]x = \pm\sqrt{2} - 8[/tex]

So our solutions are

[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]

Hope this helped!

Answer:

50

Step-by-step explanation:

415 is closer to 400, so just divide that by 8 to get 50.

Answer:

multiply 8 x 4=22

Step-by-step explanation:

Answer:

multiply 8 x 4=22

Answer:

x = -20

Step-by-step explanation:

7 + x = -13

(subtract 7 from both sides)

x = -20

Answer:

x=-20................

Answer: (-260, -13)

Step-by-step explanation:

To find the midpoint  of  a line we find the average of x coordinates and the average of the y coordinates.So since two  of the endpoint is already given we could find the midpoint  by setting and equation up.

[tex]\frac{-x+(-4)}{2} = -132 x= -260[/tex]  

The same way for the  y coordinates

[tex]\frac{y+(1)}{2} = -6[/tex]     y = -13

Depends on your level of skills for one. Let's say you can replace a tire on a car within 30 min to 1 hr from the time you open the trunk to get the replacement.

Answer:

24x - 20

Step-by-step explanation:

Side = 6x - 5

Perimeter of square = 4 * side

                                  = 4 * (6x - 5)

Use distributive property

                                   = 4*6x - 4*5

                                   = 24x - 20

Answer:

24×-20

Step-by-step explanation:

formula=4L

4(6×-5)

24×-20

Answer:

The answer equals -8

Step-by-step explanation:

Order of Operations: BPEMDAS

FOIL - First, Outside, Inside, Last

Step 1: Write out expression

[tex](\sqrt{4-3i} -\sqrt{4+3i})^6[/tex]

Step 2: Expand

[tex](\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})[/tex]

Step 3: FOIL first 2

[tex](\sqrt{4-3i} -\sqrt{4+3i})^2 = -2[/tex]

Step 4: Replace square roots with -2

-2(-2)(-2) = (-2)³ = 8

Answer:

a. 8.50

Step-by-step explanation:

each pound is 2 kilogram

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

Solution

Provided :-

• I have $138

• I save $12 per week

• Friend have $ 98

• He saves $17 per week

Let the number of weeks required to have same balance be x

→ 138 + 12x = 98 + 17x

→ 138 - 98 = 17x - 12x

→ 40 = 5x

→ x = 8

So we need 8 weeks

Answer: 8 weeks

Step-by-step explanation:

Let x = the number of weeks

138+12x=98+17x

 40+12x=17x

        40=5x

          x=8

Hope this helps!! :)

Please let me know if you have any question

Answer:

100 degrees

Step-by-step explanation:

George Street I assume is the one with the red line.

So she has to turn 40 + 60 = 100 degrees to go to Green Street

Sample Answer: To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.

Answer:

To apply the product of powers rule, the bases must be the same.

In this example, the bases are 2 and 3, so they are not the same.

Step-by-step explanation:

Answer:

A) 44.26

B) 9.43

C) (2.5,3.5)

D) OH

E) 26.26

Step-by-step explanation:

Let’s figure out the lengths first.  Three are straight line, so are easy:

HE=9, SE=11, SU=9

The other two, you need to use the distance formula or Pythagorean Theorem. OH=8²+5²=c² = 64+25=c² = 89=c² = √89 = 9.43

OU=3²+5²=c² = 9+25=c² = 34=c² = √34 = 5.83

Now we can start answering the questions.

A) 9+11+9+9.43+5.83=44.26

B) 9.43

C) You already have: (2.5,3.5)

D) OH=9.43.  EH=9.  OH is longer.

E) HU is 11. OH is 9.43.  OU is 5.83.  11+9.43+5.83=26.26

4 people x 10 minutes each = 40 minutes per day.

5 gallons per minute x 40 minutes = 200 gallons per day.

200 gallons per day x 365 days per year = 73,000 gallons a year.

Answer:

A,C, & D

Step-by-step explanation:

Answer:

Step-by-step explanation:

B,A, and C

Answer: The SSS postulate would be those three letters.

Step-by-step explanation:

Here's how I got my answer:

Since you know that two pairs of sides are congruent and that the two triangles lie on the same side, then you can conclude that all three pairs of sides are congruent. Therefore, use the SSS postulate (Side-Side-Side) as the proof that the two triangles are congruent.

Answer:

41

Step-by-step explanation:

when there is midpoint it bisects the segment(cuts it in equal halfs)

3x+5 = 5x-19

3x + 24 = 5x

24 = 2x

12 = x

3(12) + 5 =

36 + 5

41

Answer:

The value of segment DF is 41 units.

Step-by-step explanation:

If we know that F is the midpoint of DE, we can conclude that DF and FE have the same value.  This lets us set up the following equation:

DF = FE, which when we substitute in our given values is:

3x + 5 = 5x - 19

The next step is to solve this equation.  We should start by subtracting 3x from both sides of the equation.

5 = 2x - 19

Then, we can add 19 to both sides of the equation.

24 = 2x

Finally, we can divide both sides by 2.

x = 12

Now that we have a value for x, we need to find the length of DF.  To do this, we can just plug in our value for x into the given expression for DF and simplify.

DF = 3x + 5 = 3(12) + 5 = 36 + 5 = 41

Therefore, the correct answer is 41.

Hope this helps!

Greetings from Brasil...

For reverse function, just invert the X by the Y and vice versa.

Note that F(X) = Y and F⁻¹(X) = Y⁻¹

F(X) = 1(9X - 2)  ⇔  Y = 1(9X - 2)

replacing X with Y⁻¹

X = 1(9Y⁻¹ - 2)

Answer:

2:7

Step-by-step explanation:

if 2/9 of the class are women then 7/9 of the class are men.

[tex]\frac{2}{9}:\frac{7}{9}\\ 2*9:7*9\\18:63\\\frac{18}{9}:\frac{63}{9}\\2:9[/tex]

Answer:

a) What distance did he cover?

9 km

b) What was his displacement?

6.71kmSE

Step-by-step explanation:

a) What distance did he cover?

Total distance covered = 6km south + 3km east = 9km

b) What was his displacement?

Displacement =√( 6km)² + (3km)²

=√ 36 + 9

= √45

= 6.7082039325kmSE(SouthEast)

Approximately = 6.71kmSE

Answer:X is 3

Step-by-step explanation:

We add 2x -8 plus x +17 equals 0.then group the like terms together.2x + x=8-17.

Answer:

A. Real number

Step-by-step explanation:

Fact :Real numbers that include decimal points are known as floating point numbers because the decimal floats within the numbers.

The number 37.9 is a real number which is the correct option (A).

Real numbers are defined as the value of a continuous quantity that can represent a distance along a line a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.

Given that number is 37.9

Due to the fact that decimal places can move about within real numbers containing decimal points, these numbers are referred to as floating point numbers.

Hence, the number 37.9 is a real number.

Learn more about complex numbers here:

brainly.com/question/19007885

#SPJ2

Answer: $1,110 is what they need

Step-by-step explanation:

520+ m= 1630

1630- 520= 1110

m= 1110

Answer:

Step-by-step explanation:

This number is real, negative and rational.

Answer:option 1

Step-by-step explanation:

Answer:

first one

Step-by-step explanation: