all sets to which the number 3/2 belongs.

1 rational numbers, real numbers


2 integers, rational numbers, real numbers


3 irrational numbers, real numbers


4 natural numbers, whole numbers, real numbers

Step-by-step explanation:

|8| + |-3| - |-7|

= 8 - 3 + 7 = 12

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

Answer:

x is 1.7 add it by three and its 18 you can do this by doing 9 times 1.7 which gets you 15 and add it with three and it equals 6 times 3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Let number you are thinking be x

According to problem;

4x-10+15=53

4x+5=53

4x=48

×=12

Answer:

Step-by-step explanation:

Answer:

(-18, 0)

Step-by-step explanation:

The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:

y = 2/3x + 12

0 = 2/3x + 12

-12 = 2/3x

-18 = x

So, the x intercept is (-18, 0)

Answer:

2/9

Step-by-step explanation:

LCM of 3 and 9 = 9

[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]

Answer:

-3

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Since x = -18, we use the top formula

f(-18) = (x-6)/3

        = (-18-6)/3

        = -24/3

       = -8

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.

The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.

The external angle of the regular hexagon will be given as,

External angle = 360° / 6

External angle = 60°

Then the sum of the measures of the exterior angles of a convex hexagon will be

⇒ 60° x 6

⇒ 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°.

Then the correct option is A.

More about the regular hexagon link is given below.

https://brainly.com/question/1694257

#SPJ2

Answer:

11

Step-by-step explanation:

the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.

I hope this helps

Answer:

b

Step-by-step explanation:

The first series has a patten which is an=a(n-1)-5. The second series follow the pattern which is an=a(n-1)+4. The third series follow the pattern an=a(n-1)+5. So 16-5=11.

Answer: The dimensions are 8 and 3

Step-by-step explanation:

So 8*3=24 which corresponds with the formula for area l*w= Area

And perimeter means we add up all 4 sides so

8+8+3+3= 22

So the dimensions are 8 and 3

Answer:

5n

Step-by-step explanation:

output=5x

where x is = input

there fore if input is n, output is 5n

Using function concepts, it is found that:

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

The given function is:

[tex]g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}[/tex]

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

Question a:

The y-intercept is g(0), thus:

[tex]g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5[/tex]

The y-intercept is y = 2.5.

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

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3[/tex]

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[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty[/tex]

Thus, the horizontal asymptote is x = 3.

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Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

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Question d:

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The sketching of the graph is given appended at the end of this answer.

A similar problem is given at https://brainly.com/question/16533631

Answer:

x=10, y=24

[tex]\left(34-y\right)^2+y^2=676[/tex]

Step-by-step explanation:

Answer:

x = 10 and y = 24

Step-by-step explanation:

Perimeter of triangle = sum of the 3 sides of the triangle

:. x + y + 26 = 60

x + y = 60 - 26

x + y = 34 ---- (1)

From Pythagoras theorem,

x² + y² = 26²

x² + y² = 676 ---- (2)

From equation (1): y = 34 - x

:. x² + (34 - x)² = 676

x² + 1,156 - 68x + x² = 676

x² + x² - 68x + 1,156 - 676 = 0

2x² - 68x + 480 = 0

x² - 34x + 240 = 0

(x² - 24x) - (10x + 240) = 0

x(x - 24) -10(x - 24) = 0

(x - 24)(x - 10) = 0

x = 24 or 10

y = 34 - x

y = 34 - 10 = 24

:. x = 10 and y = 24

Answer:it’s A

Step-by-step explanation:

took the test

Answer:

[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]

Step-by-step explanation:

We want to find all solutions to the equation:

[tex]\displaystyle \sin 2x - 1 = 0[/tex]

In the interval [0, 2π).

First, add one to both sides:

[tex]\displaystyle \sin 2x = 1[/tex]

Recall that sin(u) equals one whenever u = π/2. This will occur for every rotation. Hence, we can say that u = π/2 + 2nπ where n is an integer.

And in this case, u = 2x. Thus:

[tex]\displaystyle 2x = \frac{\pi}{2} + 2n\pi\text{ where } n\in\mathbb{Z}[/tex]

Dividing both sides by two yields:

[tex]\displaystyle x = \frac{\pi}{4} + n\pi \text{ where } n\in \mathbb{Z}[/tex]

There are two values of x in the interval [0, 2π) given when n = 0 and n = 1:

[tex]\displaystyle x _ 1= \frac{\pi}{4} \text{ and } x_2 = \frac{\pi}{4} + (1)\pi = \frac{5\pi}{4}[/tex]

Any other solutions will be outside our interval.

Therefore, our solutions are:

[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]

Answer:

Step-by-step explanation:

The best way to start this question is to find the value of the big 3. The big three (on your calculator) are the sin cos and the tangent. Once you have them, the other three are just the reciprocals.

Sin36 = 0.588

Cos36= 0.809

Tan36 = 0.727

============

Now for the other three, which are not on your calculator (directly)

Csc(36) = 1/sin(36) = 1/0.588 = 1.70

Sec(36) = 1/cos(36) = 1/ 0.809 =  1.236

cot(36) = 1/tan(36) = 1/0.727 = 1.376

I don't know if you remember who marries who here. I always remember that cofunction goes with the non cofunction. So the sin and csc are going out together. The cot and tan are dating etc.

Answer:

Step-by-step explanation:

L = 2 + sqrt(2)

W = 4 - 2sqr(2)

Area = L * W

Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )

Use Foil

Result

Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)

Area = 4

the person will travel 40 blocks in 16 minutes

Answer:

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A(- 3, 1 ) → (- 3, - 1 )

B(- 1, 3 ) → (- 1, - 3 )

C(- 2, 1 ) → (- 2, - 1 )

A translation of 4 units up means adding 4 to the y- coordinate

( - 3, - 1 ) → A' (- 3, - 1 + 4 ) → A' (- 3, 3 )

(- 1, - 3 ) →B' (- 1, - 3 + 4 ) → B' (- 1, 1 )

(- 2, - 1 ) → C' (- 2, - 1 + 4 ) → C' (- 2, 3 )

Answer:

B

Step-by-step explanation:

Area of shaded region + Area of unshaded region = Area of circle

Area of the unshaded sector=256*pi-32*pi=224*pi

Answer:

radius Is 16

total area becomes pi r ^ 2 = 16^2 pi = 256pi

remaining area becomes

256 pi - 32 pi = 224 pi option b

brainliest pls

Answer:

[tex]10^{19}[/tex]

[tex]10^{-6} * 10^{25} = 10^{19}[/tex]

Step-by-step explanation:

10^46/ 10^-4 = [tex]10^{50}[/tex]

[tex]\sqrt{10^{50} } = 10^{25}[/tex]

Answer:

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

2x + 10

1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

1/2 * 4x = 2x and 1/2 * 8 = 4

2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

-3 * 2x = -6x

-3 * -33

-6x - 33

Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

Answer:

Perimeter = - 2x - 19

Step-by-step explanation:

[tex]Perimeter \: of \: a \: triangle \\ = Sum \: of \: the \: length \: of \: all \: sides \\ = [2(x+5)]+[-3(2x+11)]+[ \frac{1}{2} (4x+8)] \\ = [(2 \times x)+(2 \times 5)]+[(-3 \times 2x)+( - 3 \times 11)]+[ (\frac{1}{2} \times 4x) + ( \frac{1}{2} \times 8)] \\ = (2x + 10) + ( - 6x - 33) + (2x + 4) \\ = 2x + 10 - 6x - 33 + 2x + 4 \\ = 2x - 6x + 2x + 10 - 33 + 4 \\ = - 2x - 19[/tex]

So, the perimeter is - 2x - 19.

Answer:

n = 3

m = -1/2

Step-by-step explanation:

Multiply the second equation by 4

4(n - 2)x + y = 4(n + m)          Y is now correct.

4(n - 2) = 4                              Remove the brackets    

4n - 8 = 4                                Add 8 to both sides

4n = 8 + 4                               Combine

4n = 12                                    Divide by 4

n = 3                                        x is now correct

4(n - 2) = 4

4(3 -2) = 4

4 = 4

Now you have to worry about m

4(n + m) = 10

n = 3

4(3 + m) = 10                               Divide by 4

m + 3 = 10/4

m + 3 = 2.5                                 Subtract 3 from both sides.

m = 2.5 - 3

m = - 1/2  

Answer:

[tex]y=60\textdegree[/tex]

Step-by-step explanation:

The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.

Therefore, [tex]y=\frac{1}{2} *120\textdegree = \bf 60\textdegree[/tex]. Hope this helps!

Answer:

x = 105°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

x is an exterior angle of the triangle , then

x = 69° + 36° = 105°

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Answer:

C

Step-by-step explanation:

I took the quiz

Answer:

I'm going to say A and B (I think)

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The expression (5·2)^x is evaluated by evaluating the expression in parentheses first. When you do that, you get 10^x.

  (5·2)^x ≡ 10^x