The number of customers to visit a local small businesses 51,200 and has been continuously declining at a rate of 3.8 each year what is the approximate number of customers that visit the business in 14 years

Answer:

x=35°

Step-by-step explanation:

So first, recall that the interior angles of a triangle must total 180°.

The sum of the angles for the given triangle can be described by:

[tex]110+x+x\\=2x+110[/tex]

Since the total must equal 180°, set the expression equal to 180°.

[tex]2x+110=180[/tex]

To find the value of x, we just need to solve for x.

To start, subtract 110 from both sides. The 110s on the left cancels:

[tex](2x+110)-110=(180)-110\\2x=70[/tex]

Now, divide both sides by 2. The 2s on the left cancel.

[tex]\frac{(2x)}{2}=\frac{(70)}{2}\\ x=35 \textdegree[/tex]

Therefore, the value of x is 35°.

Step-by-step explanation:

[tex]180 - 110 = 60 - 2 = 30 \\ so \: x = 30[/tex]

Answer:The graph f(x)   is shifted 2 units to left and shifted down by 6 units to form the graph r(x) .

Step-by-step explanation:

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:

-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:

A

Step-by-step explanation:

125 is the amount of discount, so for example if p was 500 and discounted by 125 (p-125), you'd get 375(example of reduced price).

Answer:

8b+2

Step-by-step explanation:

Combine Like Terms:

=−b+2+9b

=(−b+9b)+(2)

=8b+2

Answer:

Function

Step-by-step explanation:

Answer:

A - Both answers are functions

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:  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:

2x + 22

Explanation

2(4x + 7) -2(3x -4)

Factor 2 out of  the Expression

2(4x + 7 -(3x -4)

- × - is +

2(4x + 7 - 3x +4)

Collect like terms

2(x+7+4)

2(x+11)

2x + 22

Answer: circle

Step-by-step explanation:

because each point is the same from the center

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:

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:

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:

F: 48

Step-by-step explanation:

Let x be the length of the side of the cube. RQ can be expressed as a triangle consisting of a diagonal of a face of the cube and the side length x. By the pythagorean theorem, we know that a^2+b^2=c^2. So, we can express the diagonal as x^2+x^2=c^2, giving us the value of c to be [tex]x\sqrt{2}[/tex]. Now, we can once again use the pythagorean theorem to find RQ^2=2x^2+x^2=3x^2, so RQ=[tex]x\sqrt{3}[/tex]=12, so x=[tex]4\sqrt{3}[/tex]. To find the area of the shaded part, we multiply the length times width which gives us [tex](4\sqrt{3})^2=48[/tex]. So, the area of the shaded face of the cube is F: 48.

Answer:

It sooo D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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:

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.

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: 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:

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:

y=kx

20=10k

k=20/10

k=2

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:

-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:

160

Step-by-step explanation:

Divide 24 by 15 percent (.15)

24/.15

=160

Answer:

160

Step-by-step explanation:

from the question, we know that 24 balloons are 15% of total.

make equation:

[tex]\frac{15}{100} =\frac{24}{x}[/tex]

calculate:

100*24/15=160 balloons

Answer:  see proof below

Step-by-step explanation:

Proof LHS → RHS

[tex]\dfrac{1}{3-2\sqrt2}-\dfrac{1}{2\sqrt2-7}+\dfrac{1}{\sqrt7-\sqrt6}-\dfrac{1}{\sqrt6-\sqrt5}+\dfrac{1}{\sqrt5-2}\\\\\\\text{Rationalize the denominator (multiply by same numbers but opposite sign)}\\\dfrac{3+2\sqrt2}{1}-\dfrac{2\sqrt2+7}{1}+\dfrac{\sqrt7+\sqrt6}{1}+\dfrac{\sqrt6+\sqrt5}{1}+\dfrac{\sqrt5+2}{1}\\\\\\\text{Group like terms:}\\3+(2\sqrt2-2\sqrt2)+(-\sqrt7+\sqrt7)+(\sqrt6-\sqrt6)+(-\sqrt5+\sqrt5)+2\\\\\\\text{Simplify:}\\3 + 0+0+0+0+2 \\= 5[/tex]

LHS = RHS:  5 = 5  [tex]\checkmark[/tex]

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: no -10 isn't a rational number

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

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*❀

Answer:

x+4

x+1-2=x-1

Step-by-step explanation:

x+4/x-1=11/16 x should be different than 1 cz 1-1=0

16(x+4)=11(x-1)

16x+64=11x-11

16x-11x=-11-64

5x=-75

x=-15