Complete the missing steps to express in simplest radical form.

Answer:

(a) x<=2

(b) x>-2

(c) x>=10

(d) x<-20

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

Answer: 22 ft

Step-by-step explanation:

The path that the dog can walk if he maximally extends his leash is the path of a semi-circle, which has a radius of 7ft.

The distance along a full circle is given by the circumference of the circle, which is related to the radius. To find the length of the path that the dog walks, we evaluate half the circumference.

[tex]\begin{aligned}&D=\frac{C}{2} \\&D=\frac{2 \pi r}{2} \\&D=\pi r \\&D=7 \pi \\&D \approx 22\end{aligned}[/tex]

Therefore, the dog can walk about 22 ft if he extends the leash as far as it can go.

Answer:

B. There is not convincing evidence because the interval contains 0.

Step-by-step explanation:

Answer:

find the product of (4m-n) and (3m-2n)

Answer:

1/16

Step-by-step explanation:

Given in comment:

5,4,3,2 = Spinner

Thus, there are 4 possible answer

Given:

If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?

1/16

3/16

1/8

1/4

Solve:

Knowing that there only One 5 and One 2 on the spinner.

Thus, in fraction form - 1/4 and 1/4

Probability land on 5 = 1/4

Probability land on 2 = 1/4

Because there are 4 possible solution and one of each is 5,4,3,2

Now, multiply then together:

1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}

Put Together:

1/16

Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16  

~Lenvy~

Answer:

1/16

Step-by-step explanation:

so, per your additional information the "spinner" has 4 possible results : 5, 4, 3 ,2

I guess, they are like the six numbers on a die equally probable.

that means the probabilty to get one of the 4 possible answers is 1/4 (desired outcomes over all possible outcomes).

now, to make the experiment twice and link the results as one desired outcome (like a 5 and a 2, or two 4s, or ...), we can multiply the probabilities as combined events without overlapping.

why ?

similar to a die with 6 possible results, we have here for every one of the 4 possible results of the first spin, we have 4 possible results of the second spin.

so, the probability of one particular set of 2 results is

1/4 × 1/4 = 1/16

in other words, it is 1/4 to get 5 on the second spin, and 1/4 to get 2 on the second spin. because we want both to happen as one desired result, both events have to happen as combination (and not as "or"). hence the multiplication.

Answer:

  = 14x +8

Step-by-step explanation:

For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.

The left side simplifies to ...

  12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

  12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions

Answer:

A He should ask his students to know what they prefer

Step-by-step explanation:

Answer:

b = 25°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

b + 110° + 45° = 180°

b + 155° = 180° ( subtract 155° from both sides )

b = 25°

Answer:

$103.75

Step-by-step explanation:

Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)

8.30 hours x $12.50 per hour: $103.75

Answer:

yes, it is

Step-by-step explanation:

10 = 4(2) + 2

10 = 8 +2

10 = 10

10  = 2 + 8

10 = 10

Answer:

The answer is yes

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 2

y = x + 8

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the second equation, for y, in the first equation:

y = 4x + 2

y = x + 8

x + 8 = 4x + 2

Next, subtract 4x from both sides to isolate x:

x + 8 = 4x + 2

-4x      -4x

-3x + 8 = 2

Then, subtract 8 from both sides:

-3x + 8 = 2

     - 8    - 8

-3x = -6

Now, divide both sides by -3:

-3x = -6

/-3    /-3

x = 2

Now, we find the value of y by substituting 2 for x:

y = 4x + 2

y = 4(2) + 2

y = 8 + 2

y = 10

(x, y) ==> (2, 10)

Therefore, yes (2,10) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

96cm

Step-by-step explanation:

From the question,

Area of rectangle(A) =Area of square(A)

or,32*18=Area of square

or, 576= l^2

or√576=l

or, 24cm

Now, we know,

Perimeter of the square=4l

=4*24cm

=96cm

Answer:

X< 7/8

Step-by-step explanation:

X< 2/7×4

X< 2×4/7

X< 7/8

Answer:

[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate it on one side of the equation.

x/4+<2/7

First, multiply by 4 from both sides.

x/4*4+4<2/7*4

Solve.

2*4=8

Rewrite the problem down.

x+4<8/7

Then, you subtract by 4 from both sides.

x+4-4<8/7-4

Solve.

x<-20/7

Therefore, the correct answer is x<-20/7.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

x = 8

Step-by-step explanation:

Both these angles are equal because they are equal. So we make this equation:

8x + 36 = 5x + 60

-5x          -5x

3x + 36 = 60

      -36   -36

3x = 24

Divide both sides by 3:

x = 8

Answer:

Hello there! The answer is 3 seconds.

Answer:

A

Step-by-step explanation:

[tex] f(x) = \dfrac{x - 16}{x^2 + 6x - 40} [/tex]

[tex] g(x) = \dfrac{1}{x + 10} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{1}{x + 10} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{(x - 4)}{(x + 10)(x - 4)} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16 + x - 4}{x^2 + 6x - 40} [/tex]

[tex] f(x) + g(x) =  \dfrac{2x - 20}{x^2 + 6x - 40} [/tex]

Answer: A

Answer:

X = 2.8

Step-by-step explanation:

5x+2=16

5x=16-2

5x=14

x=14÷5

x=2.8

Hope that helps!

Answer:

17%

Step-by-step explanation:

subtract/originial*100=lercent change

4.08/24=0.17*100=17

The answer is 17%

Answer:

A dodecagon is a shape with 12 sides

Step-by-step explanation:

Decagon is 10 and do is 2 so 12

[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]

Hope that helps!

[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]

Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

Answer:

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

Answer:

19 the explanation is 19 46

Answer:

123

Step-by-step explanation:

Add 4 enough times to 11 and you will get there.

Answer:

40

Step by Step:

200/5 = 40

The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;

The volume of the vessel, v = π•r^2•h/3

[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]

h = 5•r

Therefore;

v = π•r^2•(h)/3 = π•(h/5)^2•h/3

v = π•h^3/75

By chain rule of differentiation, we have;

[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]

Which gives;

[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]

When the height is 12 cm from the vertex, we have;

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]

When the vessel is one-quarter filled, we have;

v = π•h^3/75

π•(40)^3/(75×4) = π•h^3/75

10•(40)^2 = 16,000 = h^3

h = (16,000)^(1/3) = 25 (approx)

Which gives;

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]

When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.

Learn more about rate of change here:

https://brainly.com/question/20066447

Answer:

A. 8(3 + 8x)

Step-by-step explanation:

Hope it helps you in your learning process