The diameter of a circular hatbox is 16 inches. What is the circumference of the hatbox?

Answer:

x = 2, y= -1 Or (2, -1)

Step-by-step explanation:

Let’s solve the system using substitution. First we can set the equations equal to each other:

x-3= -2x +3

Now solve for x

3x-3= 3

3x = 6

x=2

Now that we have x, we can plug it back into one of the original equations to get y

y= x-3

y= 2-3

y = -1

Finally, the solution to the system of equations is (2, -1).

Answer:

(2,-1)

Step-by-step explanation:

1.) y = x - 3

    y = -2x + 3

2.) Multiply top equation by 2

    2y = 2x - 6

    y = -2x + 3

3.) Add equations

    3y = -3

4.) Divide 3 from each side

     y = -1

5.) Substitute -1 for y in second equation

    -1 = -2x + 3

6.) Solve

     -4 = -2x

     x = 2

Therefore, (2, -1)

Answer:

128.5 thousand dollars

Step-by-step explanation:

The number of DVDs the company can sell to maximize the profit is 85

What is differentiation?

In mathematics, differentiation is the process of determining the derivative, or rate of change, of a function. Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure that determines the instantaneous rate of change of a function based on one of its variables. The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately

Given data ,

Let the profit P for producing n DVD copies be P ( n )

where P ( n ) = −0.02n² + 3.40n − 16

Now , to find the maximum number of DVDs to produce in order to maximize the profit is calculated by finding the derivative of P ( n ) with respect to n

And , dP (n) / dn = 0

So , the equation will be

P ( n ) = −0.02n² + 3.40n − 16

dP (n) / dn = -0.04n + 3.4

When dP (n) / dn = 0 , we can find the value for n

So ,

-0.04n + 3.4 = 0

Adding 0.04n on both sides , we get

0.04n = 3.4

Divide by 0.04 on both sides , we get

n = 85

Hence , The number of DVDs the company can sell to maximize the profit is 85

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Answer: C

Step-by-step explanation:

Another point on the line y = 9/5(x) + 2  is (0, 2).

The correct option is B.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The slope of the line is 9/5 and passes through the point (-10, -16).

So, the equation of the line is,

y + 16 = 9/5(x + 10)

y + 16 = 9x/5 + 18

y = 9/5(x) + 2

From the given choices,

Substituting x = 0,

we get,

y = 2

another point on the line is (0, 2).

Therefore, another point on the line is (0, 2).

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Answer: C

Step-by-step explanation:

Since the heights of the men are assumed to be normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = heights of the men.

µ = mean height

σ = standard deviation

From the information given,

µ = 70.7 inches

σ = 2.1 inches

The probability that they have a mean height greater than 71.7 inches is expressed as

P(x > 71.7) = 1 - P(x ≤ 71.7)

For x = 71.7

Since n = 36, then

z = (71.7 - 70.7)/2.1/√36 = 2.86

Looking at the normal distribution table, the probability corresponding to the z score is 0.998

P(x > 71.7) = 1 - 0.998 = 0.002

Answer:

area of 3rd figure is 20ft^2

and perimeter is 20 ft

Answer: the one on the top right

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

I took the quiz

Answer:

The answer would be 77

Step-by-step explanation:

2a = 2 * a

a = 3

Plug in 3.

(2)*(3)

= 6

Answer:

1539

Step-by-step explanation:

We solve the above question using the Exponential decay formula

= A(t) = Ao(1 - r) ^t

Ao = Initial Amount invested = 7600

r = Decay rate = 55% = 0.54

t = time in weeks = 2

Hence:

A(t) = 7600(1 - 0.55)²

A(t) = 7600 × (0.45)²

A(t) = 1539

Therefore, the value of the quantity after 2 weeks is 1539

Answer:

The solution to the system of equations is:

[tex]x = -9[/tex],   [tex]y=-3.4[/tex]

Step-by-step explanation:

Given the system of equations

-2.1x + 4y = 5.3

2.1x - 5.5y = -0.2

Solving the system of equations using the linear combination method

[tex]\begin{bmatrix}-2.1x+4y=5.3\\ 2.1x-5.5y=-0.2\end{bmatrix}[/tex]

adding the equations

[tex]2.1x-5.5y=-0.2[/tex]

[tex]+[/tex]

[tex]\underline{-2.1x+4y=5.3}[/tex]

[tex]-1.5y=5.1[/tex]

solving -1.5y = 5.1 for y

[tex]-1.5y=5.1[/tex]

Divide both sides by -1.5

[tex]\frac{-1.5y}{-1.5}=\frac{5.1}{-1.5}[/tex]

[tex]y=-3.4[/tex]

substitute y = -3.4 in 2.1x - 5.5y = -0.2

2.1x - 5.5y = -0.2

2.1x - 5.5(-3.4) = -0.2

2.1x + 18.7 = -0.2

2.1x = -0.2-18.7

2.1x = -18.9

Divide both sides by 2.1

[tex]\:\frac{2.1x}{2.1x}\:\:=\:\:\frac{-18.9}{2.1}[/tex]

[tex]x = -9[/tex]

Therefore, the solution to the system of equations is:

[tex]x = -9[/tex],   [tex]y=-3.4[/tex]

Answer:

5(d+5)

Step-by-step explanation:

Find the GCF which is 5

divide:

5 divided by 5d is d

5 divided by 25 is 5

Answer:

5(d+5)

Answer:

5(d+5)

Step-by-step explanation:

Just find LCM and divide when divided multiply the whole thing by the LCM

Answer:

I cant see it at all sorry do you think you can take another picture

Answer:

We can write 7 + 2 + 1 in two different ways.

a)

b)

Step-by-step explanation:

The commutative property of addition states that we can add the numbers in any order and get the same answer.

For example, if we add 'a' and 'b' together, the commutative property of addition states that we would get the same answer whether we add a + b or b+a.

In other words,

a + b = b + 1

In our case, we are given

7 + 2 + 1

According to the commutative property of addition, we can add the number in any order and get the same answer.

Therefore, we can write 7 + 2 + 1 in two different ways.

a)

b)

Verification:

Thus, the answer will remain the same in any order.

i.e.

7 + 2 + 1 = 7 + 1 + 2 = 1 + 7 + 2

Answer:

Wrigley Gum at Store 1 (since it has the lowest unit price)

Step-by-step explanation:

To find the best deal, you solve for unit price. The price for each item (total price / total units)

Store 1

1.29/14=$0.092

1.19/15=$0.079

Store 2

7.81/81=$0.096

0.55/5=$0.11

Store 3

3.98/10=$0.398

9.98/100=$0.0998

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

[tex]a_n=7\cdot \:2^{n-1}[/tex]

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

[tex]\frac{14}{7}=2,\:\quad \frac{28}{14}=2[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=2[/tex]

now substituting r = 2 and a₁ = 7 in the nth term

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=7\cdot \:2^{n-1}[/tex]

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

[tex]a_n=7\cdot \:2^{n-1}[/tex]

Answer:

8

Step-by-step explanation:

3x is a varable and -1 is an integer

Answer:

8x+8

Step-by-step explanation:

-9x-x+3+5

-9x-1x+3+5

9x-1x+3+5

8x+3+5

8x+8

HAVE A GREAT DAY!! HOPE THIS HELPS!! :))

Answer:

D. -5

Step-by-step explanation:

3(-5)-4 = -11

-10 is greater than -11

Answer:

Yes

Step-by-step explanation:

I think so because it's the same on both sides.

I don't know man. I'm not the best at math :)

Answer

C is WRONG

Step-by-step explanation:

The correct answer is A

The fog(1) is -41.

Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x.

Evaluate the composition (ƒ ∘ g)(1).

= f(g(x) where x = 1

= f(-3x)

= -5(-3x)² - (-3x)+ 1

=-5(9x²)+3x+1

fog(x) = -45x²+3x+1

fog(1) = -45+3+1

= -41

Hence, The fog(1) is -41.

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Answer:

intercept

16,0

0,6

Step-by-step explanation:

Answer:

Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Step-by-step explanation:

I did the assignment on edge its 8 grade math

Answer: 7.58 years

Step-by-step explanation:

When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.

The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:

= 72 / r

= 72 / 9.5

= 7.58 years

Answer:

5x + 8y= 40

Step-by-step explanation:

Answer:

f(3) = 2

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = - 2(3) + 8 = - 6 + 8 = 2

Answer:

3 inch

Step-by-step explanation:

1 inch = 3 feet

12 feet = x

x = 12/3

x = 3

Answer:

18

Step-by-step explanation:

i actully dont know but i just want points sorry 4=85 -18+18

Answer:18

Step-by-step explanation:

first-line 6

second-line 3

third-line 6 again :P

fourth-line 3 again :3

fifth-line 6

sixth-line 3

Answer:

I don't know what you are asking

Step-by-step explanation: