Eleven less than a number (x) is 12.

The rule we use here is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)

We subtract the exponents when dividing exponentials like this. The bases must be the same.

So this means the exponents 13 and 3 subtract to get 13-3 = 10

We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.

Answer:

c

Step-by-step explanation:

Answer:

5√8, 14.025, 40/3, √170

Step-by-step explanation:

Step 1: Evaluate √170

√170 = 13.0384

Step 2: Evaluate 5√8

5√8 = 14.1421

Step 3: Evaluate 40/3

40/3 = 13.333

Step 4: Align greatest to least

14.1421 > 14.025 > 13.333 > 13.0384

Step 5: Revert

5√8, 14.025, 40/3, √170

Answer:

ABC  = 27

DBC  = 56

Step-by-step explanation:

ABC + CBD = ABD

x+10 + 4x-12 = 83

Combine like terms

5x -2 = 83

Add 2 to each side

5x-2+2 = 83+2

5x = 85

Divide each side by 5

5x/5 = 85/5

x =17

ABC = x+10 = 17+10 = 27

DBC = 4x-12 = 4*17 -12 = 68-12 = 56

Answer:

Angle ABC = 27°

Angle DBC = 56°

Step-by-step explanation:

So we have to set an equation first.

x + 10 + 4x - 12 = 83

This simplified = 5x - 2 = 83

--> 5x = 85

so x = 17

Plug it in to the formula for ABC and DBC

ABC = x + 10

17 + 10 = 27

ABC = 27

DBC = 4x - 12

68 - 12

DBC = 56

Thus, we have our 2 answers.

Hope this helps!

Answer:

10.25

Step-by-step explanation:

Answer:

the answer would be 10.25

Answer: no -10 isn't a rational number

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Hi my lil bunny!

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Is -10 a rational number?

No -10 is not a rational number, because A rational number is, as the name implies, any number that can be expressed as a ratio, or fraction. The number 6 is rational number because it can be expressed as 6/1, though this would be unusual. 4.5 is a rational number, as it can be represented as 9/2.

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Have a great day/night!

❀*May*❀

Step-by-step explanation:

Because the ratio of length:width is..

15:10 for b

and

30:15 for c.

Now we will divide..

3:2 for b

and

2:1 for c.

Those are NOT the same things!

Answer:

8b+2

Step-by-step explanation:

Combine Like Terms:

=−b+2+9b

=(−b+9b)+(2)

=8b+2

Answer:

(C) Division Property of Equality

Step-by-step explanation:

Looking at the equation [tex]2y=18[/tex], we see that if we want to isolate y, we need to divide it by 2 - because we're multiplying it by 2, and 2 times a number divided by 2 is just the number.

The Division Property of Equality states that if we have an equation, [tex]a=b[/tex], then [tex]a\div c = b\div c[/tex].

So, that means [tex]2y\div 2[/tex] will be equal to [tex]18 \div 2[/tex], which is 9.

Hope this helped!

Answer:

C. Division Property of Equality

Step-by-step explanation:

The equation is

2y = 18

The answer is of the form

y = a number

Now, we have 2y. We want y alone. 2y means 2 multiplied by y. Since we want y alone, to undo the multiplication of 2 and y, we need to use division. We need to divide 2y by 2. Then we also need to divide the right side by 2. Since we are using division, the answer is:

C. Division Property of Equality

Answer:

A. 6 to the Second Power.

Step-by-step explanation:

Hope it Helped!

Answer:

8x + 10y

Hope this helps!

Answer: 8x+10y

Step-by-step explanation: you to distribute the 2 in the parentheses and the you will have 8x+10y but you can't combine uncommon  symbols

Answer:

-6 k +5

Step-by-step explanation:

-2k -4k +5

Think of k is apples

-2 apples -4 apples

-6 apples

-6 k +5

Answer:

Hey there!

It's totally fine if you are having trouble with these kinds of questions, especially if you're new to them.

We can simplify the problem to be -2k-4k+5. Treat k as some number, so we have -6k+5.

Let me know if this helps :)

Answer: circle

Step-by-step explanation:

because each point is the same from the center

Answer:

It sooo D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the Triple Angle Identity: sin 3A = 3sinA - 4sin³A

[tex]\text{Given:}\quad \sin\bigg(\dfrac{\theta}{3}\bigg)=\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)[/tex]

Proof LHS → RHS

LHS:                                 sin Ф

Let A = Ф/3                     sin 3A

Triple Angle Identity:     3sinA - 4sin³A

Substitute Ф/3 = A:         3sin(Ф/3) - 4sin³(Ф/3)

Substitute sin(Ф/3):         [tex]3\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)-4\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)^3[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{3m}{2}+\dfrac{3}{2m}-4\bigg(\dfrac{1}{8}\bigg(m^3+3m+\dfrac{3}{m}+\dfrac{1}{m^3}\bigg)\bigg)\\\\.\qquad \qquad \qquad =\dfrac{3m}{2}+\dfrac{3}{2m}-\dfrac{m^3}{2}-\dfrac{3m}{2}-\dfrac{3}{2m}-\dfrac{1}{2m^3}\\\\.\qquad \qquad \qquad =-\dfrac{m^3}{2}-\dfrac{1}{2m^3}\\\\\text{Factor:}\qquad \qquad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)[/tex]

[tex]\text{LHS = RHS:}\quad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)=-\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)\quad \checkmark\\[/tex]

Answer:

Function

Step-by-step explanation:

Answer:

A - Both answers are functions

Step-by-step explanation:

Answer:

(12, 10, -12)

x = 12

y = 10

z = -12

Step-by-step explanation:

Let's start by picking a variable to eliminate from the three equations, since "z" is at the end, let's go with "z".

Next we'll eliminate z from two of the equations by adding them together so:

(x+y+z=10) + (-2x-2y-z=-32)

you'll get: -x-y=-22

Next we'll eliminate z from the remaining equation in the same way so:

(-2x-2y-z=-32) + (3x-2y+2z=-8)

you'll get: -x-6y=-72

We now have two new equations:

-x-y=-22

-x-6y=-72

From these let's eliminate another variable, let's go with "x" and since both "x" are negative we'll multiply one of the equations by the negative sign of the other equation so we'll end up with one positive x and one negative x, which looks like this:

-x-y=-22

x+6y=72

and when we add these two equations we get:

5y=50

Finally we can solve for y:

y=10

With the known value of y we can use y to plug into the other equations and solve for the x and z variables to get x=12, y=10, z=-12

Answer:

Length=17

Width=4

Step-by-step explanation:

Length=x

Width=2x-30

x(2x-30)=68

2x²-30x=68

2x²-30x-68=0

2(x²-15x-34)=0

2(x+2)(x-17)=0

So x equals either 17 or -2.  Since it can’t be -2, x=17

Length=x=17

Width=2x-30=2*17-30=34-30=4

Answer:

Length  L = 17 ft.

Width   W = 4 ft

Step-by-step explanation:

Area of a rectangle = L * W

Area = 68 ft²

W = 2L - 30

Area = L * W

68 = L * (2L - 30)

68 = 2L² - 30L

2L² - 30L -68 = 0     ( solve L by using quadratic equation)

        -(-30) ± √ -30² - 4 * 2 * (-68)

L = -------------------------------------------

                       2 * 2

L = 17 ;  L= - 2   therefore use L = 17 ft.

solve for W:

W = 2L - 30

W = 2(17) - 30

W = 34 - 30

W = 4 ft

check:

Area = L * W

68 = 17 * 4

68 = 68  ----- OK

Answer:

D

Step-by-step explanation:

Instead of going through each of the table, let's create one ourselves.

So, we have the piecewise function:

[tex]f(x)=-x+8,\text{ if } x<4\\f(x)=x, \text{ if } x\geq 4[/tex]

So, let's create a table of values starting with 2 and skipping the odd numbers until 12.

2:

For 2, since 2 is less than one, plug it into the first equation. Thus:

[tex]f(2)=-(2)+8=6[/tex]

So, the first value is (2,6).

For 4, since 4 is not less than 4 but rather equal to 4, use the second equation. Thus:

[tex]f(4)=(4)=4[/tex]

The second value is (4,4).

For 6, the same thing. 6 is greater than 4 so use the second equation:

[tex]f(6)=(6)=6[/tex]

So the third value is (6,6).

And this pattern will repeat. Therefore, our table of equations is:

x   |      y

2  |      6

4  |      4

6  |      6

8  |     8

10 |    10

12  |    12

The choice that represents this is D. D is the correct answer.

Answer:

-7×-9

=63

Step-by-step explanation:

If u multiple - with -, I'll get + sign

Answer:

63

Step-by-step explanation:

-7*(-9)

7*9

63

Best of Luck!

Answer:  0.753.

Step-by-step explanation:

The value of the correlation coefficient is denoted by 'r'. It is used to describe the strength and direction of the relationship between two variables.

Given: The relationship between the number of hours a person practices a task and the time it takes them to complete the task is calculated to have R-sq = 56.7%.

= 0.567

Then, [tex]r=\sqrt{R^2}[/tex]

[tex]=\sqrt{0.567}\approx0.753[/tex]

Hence, the value of the correlation coefficient is 0.753.

Answer:

-30

Step-by-step explanation:

The integers are the whole numbers and the opposite of the whole numbers.

That is {...,-3,-2,-1,0,1,2,3,...} is the set of integers.

If it is a number you count with or the opposite of a number you count with it or 0, then it is an integer.

So we need to solve the inequality [tex]-3 \le x+5 \le 8[/tex] first, and then just say all the integers included in that compound inequality. Last step is to add since it is asking for the sum of those integers.

Let's do this.

[tex]-3 \le x+5 \le 8[/tex]

Subtract 5 on all sides:

[tex]-3-5 \le x+5-5 \le 8-5[/tex]

Simplify all sides:

[tex]-8 \le x+0 \le 3[/tex]

[tex]-8 \le x \le 3[/tex]

This inequality includes all numbers between -8 and 3, and both include -8 and 3 because of the equal part on both of the inequality parts.

So we have -8,-7,-6,-5,-4,-3,-2,-1,0,1,2, and 3 are the integer solutions of this inequality.

Let's add them. I'm going to put opposites together because I know they will zero out.

So I have this:

-8+-7+-6+-5+-4+-3+-2+-1+0+1+2+3

-8+-7+-6+-5+-4+(-3+3)+(-2+2)+(-1+1)+0

-8+-7+-6+-5+-4+0       +0        +0     +0

-8+-7+-6+-5+-4

-(8+7+6+5+4)

-([8+7]+[6+5]+4)

-([15]+[11]+4)

-(15+11+4)

-([15+11]+4)

-([26]+4)

-(26+4)

-(30)

-30

Answer:

(x + 5)(x + 1)

Step-by-step explanation:

First, notice that because this is a trinomial (has three terms separated by some operation), we will use a basic factoring technique.

The parent function for a quadratic is ax²+bx+c=0.

Therefore, the factoring technique is to see what factors of C add up to give you B.

Factors of 5 are 5 and 1, and 5 + 1 = 6.

So, therefore, your factors are (x + 5) (x + 1).

Performing the FOIL function on this gives you x² + 1x + 5x + 5. Simplify by adding like terms and your final answer is x² + 6x + 5.

Answer:

y=kx

20=10k

k=20/10

k=2

Answer:

Step-by-step explanation:

[tex]4a-3\left(4-a\right)\\\\\mathrm{Expand}\:-3\left(4-a\right):\quad -12+3a\\\\=4a-12+3a\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\=7a-12[/tex]

Answer: number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Step-by-step explanation:

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given: Up to 22,000,000 driver of ants can live in a single colony

Since 1, 000, 000 =1 million

So 22,000,000= 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Hence, number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Answer:

Step-by-step explanation:

hello :

the area is : (3x+4y)²cm²    when :x=4 and y=1, the area is : (3(4)+4(1))²cm² =16²cm2=256cm²

Answer:

7/15

Step-by-step explanation:

Well 4/5 - 1/3 = 12 / 15 - 5 / 15 which is equal to 7/15, but there aren't any expressions in your question.

Answer:

7/15

Step-by-step explanation:

4/5 - 1/3 = 12 / 15 - 5 / 15 = 7/15

Answer:

multiplying the length and the width.

Step-by-step explanation:

To find the area of a rectangle, multiply its height by its width.

For a square you only need to find the length of one of the sides then multiply this by itself to find the area.