The net force, F newtons, needed to push a block
to the mass, m kg, of the block. When m = 5
F = 49.
(i) Find an equation connecting F and m.
(ii) Find the value of F when m = 14.
(iii) Calculate the value of m when F= 215.6.
(iv) Draw the graph of F against m.​

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:

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:

Step-by-step explanation:

This number is real, negative and rational.

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]

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:

[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]

Step-by-step explanation:

To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:

[tex]f(x)=5-x^2[/tex]

Set f(x) to 0:

[tex]0=5-x^2[/tex]

Add x^2 to both sides:

[tex]x^2=5[/tex]

Take the square root of both sides:

[tex]x=\pm\sqrt{5}[/tex]

So, our solutions are:

[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]

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:

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:

A,C, & D

Step-by-step explanation:

Answer:

Step-by-step explanation:

B,A, and C

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:

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.

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:

d) 40.78 inches

Step-by-step explanation:

See attached for details

Answer:

a. 8.50

Step-by-step explanation:

each pound is 2 kilogram

Answer:

-2x-y

Step-by-step explanation:

The expression that represents the sum of (-3x - 4y) and (x + 3y) in simplest terms is -2x - y by combining like terms.

To simplify the expression, follow these steps:

Distribute the negative sign: Multiply the terms inside the parentheses by -1 to distribute the negative sign.

[tex]-3x - 4y + x + 3y[/tex]

Group the like terms: Combine the terms with the same variable.

In this case,  -3x and x, as well as -4y and 3y.

[tex](-3x + x) + (-4y + 3y)[/tex]

Combine the x terms: -3x + x equals -2x.

[tex]-2x + (-4y + 3y)[/tex]

Combine the y terms: [tex]-4y + 3y[/tex] equals -y.

[tex]-2x - y[/tex]

Therefore, the simplest form of the expression is [tex]-2x - y[/tex].

In summary, the expression [tex](-3x - 4y) + (x + 3y)[/tex] simplifies to [tex]-2x - y[/tex].

Learn more about like terms here:

https://brainly.com/question/16601020

#SPJ4

4 inches

e - 14 = 2c

22 - 14 = 2c

2c = 8

c = 8 : 2

c = 4 in

Answer:

[tex]\Huge \boxed{\mathrm{18 \ inches}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Let the height of the emu be [tex]e[/tex].

Let the height of the stuffed canary be [tex]s[/tex].

[tex]e=22[/tex]

[tex]e=2s-14[/tex]

Substitution method.

[tex]22=2s-14[/tex]

Solving for the height of the stuffed canary.

Adding 14 to both sides.

[tex]36=2s[/tex]

Dividing both sides by 2.

[tex]18=s[/tex]

The height of the stuffed canary is 18 inches long.

[tex]\rule[225]{225}{2}[/tex]

Answer: $1,110 is what they need

Step-by-step explanation:

520+ m= 1630

1630- 520= 1110

m= 1110

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:

-26

Step-by-step explanation:

[tex]\frac{5}{6}( \frac{1}{2}x+5) - 3x[/tex]

=  [tex]\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\[/tex]

= -26

Answer:

Step-by-step explanation:

Answer:

multiply 8 x 4=22

Step-by-step explanation:

Answer:

multiply 8 x 4=22

Answer:

-77

Step-by-step explanation:

-57-(-13+33)

=-57-20

=-77

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:

see explanation

Step-by-step explanation:

(1)

5(x - 3y) + 4(4y - x) - 2(x - y) ← distribute all 3 parenthesis

= 5x - 15y + 16y - 4x - 2x + 2y ← collect like terms

= 3y - x

(2)

3 - 2(x + 2) = 6 ( subtract 3 from both sides )

- 2(x + 2) = 3 ( divide both sides by - 2 )

x + 2 = - 1.5 ( subtract 2 from both sides )

x = - 3.5

solution set = { - 3.5 }

(3)

The median is the middle value of the data in ascending order

1  4  4  7  8 ← in ascending order

       ↑ median = 4

The mean is the sum of the values divided by the count

mean = [tex]\frac{1+4+4+7+8}{5}[/tex] = [tex]\frac{24}{5}[/tex] = 4.8

The mode is the value which occurs most often

mode = 4

Thus the mode is equal to the median → C

(4)

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (A(1 - a, b + 1 ) and (x₂, y₂ ) = B(1 + a, 1 - b )

m = [tex]\frac{1-b-(b+1)}{1+a-(1-a)}[/tex]

= [tex]\frac{1-b-b-1}{1+a-1+a}[/tex]

= [tex]\frac{-2b}{2a}[/tex] ( cancel 2 on numerator/ denominator )

= [tex]\frac{-b}{a}[/tex] → d

Answer:

d

Step-by-step explanation:

Answer:

x = -20

Step-by-step explanation:

7 + x = -13

(subtract 7 from both sides)

x = -20

Answer:

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

Answer:

[tex]\large \boxed{\mathrm{-1.5}}[/tex]

Step-by-step explanation:

-1 1/2

1 over 2 is one half or 0.5

-1+0.5 = -1.5

Answer:

[tex] \boxed{\red{\bold{- 1.5}}}[/tex]

Step-by-step explanation:

[tex] - 1 \frac{1}{2} = - \frac{3}{2} \\ - \frac{ 3}{2} \frac{ \times 5}{ \times 5} \\ = - \frac{ 15}{10} = - 1.5[/tex]

hope this helps you.

will give the brainliest!

follow ~Hi1315~

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:

5

Step-by-step explanation:

Answer:

2a^2\sqrt{35a}

Step-by-step explanation:

​  

 I hope this helped

​

Answer:

38.105

Step-by-step explanation:

The area of this triangle  = 0.5 * b * c * sin(A)

= 0.5 * 11 * 8 *sin(60)           sin(60) = [tex]\sqrt{3} /2[/tex] = .866025...

= 0.5 * 11 * 8 * .866025

= 38.105

Answer:

23.42

Step-by-step explanation:

because b was 11 making it the base

and c was 8 making it the side

you have to convert the 60degrees into ft