Write the equation of the line, in slope-intercept form, with the following information: slope -1/2 y-intercept: (0, 3)​

Answer:

Geometric sequence

Step-by-step explanation:

According to the scenario, computation of the given data are as follows:

Leaves on tree this year (a) = 500

Rate of increase in leaves per year (r) = 40 % or 0.4

Let n be the number of years.

So we use exponential growth formula, i.e.

f(n) = a(1+r)^n

by putting the value, we get

f(n) = 500 ( 1+0.4)^n

or f(n) = 500 (1.4)^n

So, the common ration is 1.4.

Thus, it shows a geometric sequence.

2a = 2 * a

a = 3

Plug in 3.

(2)*(3)

= 6

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:

Answer is on pic

Step-by-step explanation:

I hope it's helpful!

Answer:

I don't know what you are asking

Step-by-step explanation:

Answer: 3/5

Step-by-step explanation:

1 2/5 = 7/5

7/5 - 4/5 = 3/5

Answer: 3/5

Step-by-step explanation:Change 1 2/5 to improper fraction which is 7/5 .THen subtract 7/5 from 4/5 which gives you 3/5.

Answer:

B

Step-by-step explanation: By breaking down the question, you can see that Jasper (j) is 3 times as old as Kevin, which means you need to multiply jasper's age by 3. The question also says that Kevin is 4 years older than whatever 3 times Jasper's age is, meaning you need to add 4 years into the question. The only answer that involves multiplying by 3 and adding by 4 is B.

Answer:

fewftwfgw

Step-by-step explanation:

wef

Answer:

Compute the value of each expression.

Compare the values If they are equal the expressions are equivalent.

Step-by-step explanation:

Answer:

D. -5

Step-by-step explanation:

3(-5)-4 = -11

-10 is greater than -11

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:

15x + 30

Step-by-step explanation:

Let x represent the number of weeks someone is a member. 30 is constant because it never changes.

Answer:

30+15w=c

Step-by-step explanation:

(c=total cost)

(w=variable to represent number of weeks)

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:

A

Step-by-step explanation:

-80 and -120 are easy to add

5 star, thank, and brainliest if helpful!

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:

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: B.

Step-by-step explanation:

Answer:

The answer is B: Reflection over the y-axis followed by a translation to the left by 2 units

Step-by-step explanation:

I had this on a test one time and I got 100%

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

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:

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:

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:

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: -56/65

sin α = 4/5 => cos α = 3/5 (because 0 < α < pi/2)

cos β = -12/13 ⇒ sin β = 5/13 (because pi/2 < β < pi)

we have:

cos(α + β) = cosα.cosβ - sinα.sinβ = [tex]\frac{3}{5}.\frac{-12}{13}-\frac{4}{5}.\frac{5}{13}=\frac{-56}{65}[/tex]

Step-by-step explanation:

Answer:

43.3in²

Step-by-step explanation:

The area of the equilateral triangle in the simplest radical form is 43.3 (inches)².

A simple polygon having 3 sides and three interior angles make up triangles. One of the fundamental geometric forms, it is represented by the symbol and comprises three connected vertices. Triangles can be categorized into the number of different varieties according to their sides and angles.

According to the information provided in the question,

Side of the equilateral triangle, a = 10 inches.

Area, a = (√3)/4 × a²

a = (√3)/4 × 10²

a = 43.3 (inches)²

Therefore, the area is 43.3 (inches)².

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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:

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: the one on the top right

Step-by-step explanation: