Which number line plots the integers –6, –2, and 5?
A number line going from negative 6 to positive 6. Points are at negative 6, negative 5, negative 2.
A number line going from negative 6 to positive 6. Points are at 2, 5, 6.
A number line going from negative 6 to positive 6. Points are at negative 5, 2, 6.
A number line going from negative 6 to positive 6. Points are at negative 6, negative 2, 5.

Answer:

33x+22

Step-by-step explanation:

The area of a rectangle is

A = l*w where l is the length and w is the width

A = 11(3x+2)

Distribute

   = 33x+22

Area of rectangle = Length * Width

⇛Area = 11(3x+2)

⇛Area = 33x + 22

Answer:

To find the surface area of a cylinder you need a specific formula.

The formula to finding the surface area is

[tex]A=2\pi rh+2\pi r^2[/tex]

2 x pi x 7 + 2 x pi x 4 squared

144.513262065 would be the specific answer.

Answer:

93°, 89°, 93°

Step-by-step explanation:

∠1 and ∠4 are supplementary angles:

m∠1 + m∠4 = 180°; m∠1 = 93°

∠2 and ∠4 are vertical angles:

m∠2 = m∠4 = 87°

∠3 and ∠4 are supplementary angles:

m∠3 + m∠4 = 180°; m∠3 = 93°

7. √9

√9 is a rational number because √9 = 3 = 3/1.

8. No, there is no integer between -6 and -7.

9. π

π is an irrational number

Answer:

≈ 0.19

Step-by-step explanation:

So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:

10/(6+10+5+1)

= 10/22

= 5/11.

So getting a yellow marble on the first try is 5/11 likeliness.

Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.

To find the probability of getting the second marble, our equation is:

9/(6+9+5+1)

= 9/21

= 3/7.

Lastly, to find the probability of getting them both consecutively, we multiply the two results.

5/11 * 3/7

= 15/77

≈ 0.19

I hope this helped! :D

Answer:

156m^2

Step-by-step explanation:

I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36

The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.

120+36=156. The surface area of the rectangle is 156m^2

[tex]\\ \sf\dashrightarrow x^3-y^3+x^2+y^2+3[/tex]

[tex]\\ \sf\dashrightarrow (-2)^3-(1)^3+(-2)^2+(1)^2+3[/tex]

[tex]\\ \sf\dashrightarrow -8-1+4+1+3[/tex]

[tex]\\ \sf\dashrightarrow -9+8[/tex]

[tex]\\ \sf\dashrightarrow -1[/tex]

Answer: -1

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x = -2

y = 1

Given expression

x³ - y³ + x² + y² + 3

Substitute values into the expression

=(-2)³ - (1)³ + (-2)² + (1)² + 3

Simplify exponents

=-8 - 1 + 4 + 1 + 3

Simplify by simple operation (addition/subtraction)

=-9 + 4 + 1 + 3

=-5 + 1 + 3

=-4 + 3

=[tex]\boxed {-1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=10

y=-9

Step-by-step explanation:

eqn 2-1

-1x+10=0

x=10

in eqn 1

y=-2 ×10+11

-20+11

-9

Answer:

100

Step-by-step explanation:

Hey there!

First, to find the cost of one apple, 50 ÷ 25, which equals 2.

At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.

If you meant 75 apples: 75 x 2 = $150

If you meant $75 apples: $75 ÷ 2 = 37.5

Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.

Hope this helps!

Have a great day!

The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'

To prove, we will look at some situations:

If we add up the two digits of 18. We get,

[tex]1 + 8 = 9[/tex]

And we multiply 18 by 2 which is greater than 1. We get,

[tex]18[/tex] × [tex]2 = 36[/tex]

The sum remains the same i.e. [tex]3 + 6 = 9[/tex]

Similarly,

If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;

[tex]18[/tex] × [tex]3 = 54[/tex]

where (5 + 4 = 9)

Once more,

Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.

 [tex]18[/tex] × [tex]4 = 72[/tex]

[tex](7 + 2 = 9)[/tex]

[tex]18[/tex] × [tex]5 = 90[/tex]

[tex](9 + 0 = 9)[/tex]

Thus, 18 is the answer.

Learn more about 'numbers' here: brainly.com/question/1624562

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

Answer:

the area of right angle is 1.5×2.5=3.75

Answer:

1.5 units^2

Step-by-step explanation:

If we say that the missing side is x, we can use the pythatgorean theorem to find it.

1.5^2 + x^2 = 2.5^2  =>  2.25 + x^2 = 6.25  =>  x^2 = 4  =>  x=2

The area of a triangle is hieght * base * 1/2 => 1.5 * 2 * 1/2 = 1.5

Step-by-step explanation:

3(t-3)=5(2t-1)

= 3t-9=10t-5

= 3t-10t = -5+9

= -7t = 4

= -t = 4/7

= - 4/7 Answer

hope it helps

Answer:

-3 + 5 + 6 g = 11 - 3 g - 3 + 5 + 6 g = 11 - 3 g

6 g + 2 = 3 g + 13 = 11 - 3 g

{g = 11/3, g = 1, g = -1/3}

{3 g = 11, g = 1, 3 g + 1 = 0}

{3 g + 13 = 2 (3 g + 1), 11 - 3 g = 2 (3 g + 1), 11 - 3 g = 3 g + 13}

let the n'th term be called x, and the value of the term y,

then there is a function y=a*x + b

that will give us all term we want.

this formula is also used for straight lines.

we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula

10.5 = a*12 + b

13.5 = a*18 + b

now lets manipulate these lines.

multiply the first line by 3 and the second line by 2

31.5 = a*36 + 3b

27 = a*36 + 2b

subtract the second line from the first line

4.5 = b

yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.

10.5 = a*12 + 4.5

6 = a*12

0.5 = a

now y=a*x + b can be filled with a and b

y = 0.5 * x + 4.5

for x=1 (the first term) it's f(1)=5

each step is 0.5, hence the common difference.

(13.5-10.5)/(18-12)

= 3 / 6

= 0.5

we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.

from step 12 to step one it's 11 steps down

10.5 - 0.5*11

= 10.5 - 5.5

= 5

Answer:

Geometric sequence

Step-by-step explanation:

A geometric sequence involves each number after the first one being multiplied by a specific number, called the common ratio.

This situation is a geometric sequence, where the common ratio is 4.

For example, there are 4 cookies on the second plate, 16 on the third, and 64 on the fourth. To get each number, the previous number is multiplied by 4.

So, this is a geometric sequence.

If he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

It is given that the educator placed one cookie on the first dish, four cookies on the second, sixteen cookies on the third, and sixty-four cookies on the fourth.

Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio. The common ratio in this situation, which is a geometric sequence, is 4.

The second dish, for instance, has four cookies, the third, sixteen, and the fourth, sixty-four. Each number is obtained by multiplying the preceding number by four.

Thus, if he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Answer:

Step-by-step explanation:

from the picture:

QP = QR

and

QR = RS

so

PQ + RS = QS

Answer: The father is 36 right now and the son is 4

Step-by-step explanation: 9x4 is 36 and 36/9=4.

Answer:

Option B

a(n) = 8 + (n-1) • 6

Answered by GAUTHMATH

Answer:

11

Step-by-step explanation:

Find the range by calculating the difference between the smallest and largest numbers in a set.

The smallest number is 1, and the largest number is 12.

Find the difference:

12 - 1

= 11

So, the range is 11.

Answer:

11

Step-by-step explanation:

1,2,,3,4,5,10,12

Range is lowest value subtracted from highest value so: 12 -1 = 11

answered by g a u t h m a t h

Answer:  True

Explanation:

Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.

Answer:

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

Answer:

[tex]\boxed{=2x(x^2+6y^2)}[/tex]

Step-by-step explanation:

Remember:

[tex](a+b)(a-b)=a^2-b^2\\\\a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\(x+2y)^3+(x-2y)^3\\\\=(x+2y+x-2y)((x+2y)^2-(x+2y)(x-2y)+(x-2y)^2)\\\\=2x(x^2+4xy+4y^2-(x^2-4y^2)+x^2-4xy+4y^2)\\\\=2x(x^2+6y^2)\\[/tex]

The line was reflected about the line y = -x.

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

This question is solved using reflection concepts.

There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.

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

In this question:

From this, we have the following rule: (x,y) -> (-y,-x)

Checking the rules, it can be said that the line was reflected about the line y = -x.

A similar question can be found at https://brainly.com/question/16130908

Answer:

I think the answer is 10 hours

the 11.95 seems wrong

Step-by-step explanation:

[tex]\frac{1}{6} + \frac{1}{y} = \frac{1}{3.75}[/tex]

multiply by 22.5 y

3.75 y + 22.5 = 6y

y = 10