Please help, algebra 1, i dont know how to begin to solve it :/ thank you thank you.Simplify:

We have the next function that models the Australian GDP since 1960 :

Where t is the number of years since 1960.

a)If we are in the year 1960, it means t=0

Therefore:

b)Now, we need to find the Australia capita in 1963.

This means t=3

Therefore:

c) We need to find when the function is equal to 100,000.

Therefore we equal the function G(t)=100,000.

Then:

Solve for t:

Divide both sides by 1806:

Add Ln for each side:

Then:

Rounded to the nearest year:

Therefore: 1960 +110 = 2070

On 2070 the Austranlian GDP reaches 100,000 USD

Newton's Second Law, F=m.a, describes the relationship between an object's mass, a force acting on it, and the resulting acceleration, where: F is force, in Newtons m is mass, in kilograms a is acceleration, in meters per second squared A young boy and his tricycle have a combined mass of 30 kilograms. If the boy's sister gives him a push with a force of 60 Newtons, what is his acceleration? 1 2 meter per second squared 2 meters per second squared 30 meters per second squared 90 meters per second squared​

we have that

F=m*a

we have

m=30 kg

F=60 N

substitute in the formula

60=30*a

solve for a

a=60/30

a=2 m/s^2

therefore

10

10x1=10

Hope this helps

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

sample proportion = 0.3

widest 95% confidence interval

sample = ?

Step 02:

p = 0.3

1 - α = 0.95 =>> z α/2 = 1.96

We must check each value to find the solution.

A. sample = 36

confidence interval (0.1501 , 0.4499)

difference = 0.2998

B. sample = 56

confidence interval (0.18 , 0.42)

difference = 0.24

Analyzing these two values, we can conclude that the widest confidence interval will be for the smallest sample.

The answer is:

Sample = 36

Given the word problem, we can deduce the following information:

The correlation coefficient r is equal to 0.755.

To determine the coefficient of determination and the coefficient of nondetermination, we use the formulas below:

Now, we first plug in r=0.755 to get the coefficient of determination:

Next, we get the coefficient of nondetermination:

Therefore, the answer is:

The coefficient of determination is 0.570 and the coefficient of nondetermination is 0.430

Answer:

5, 6

Step-by-step explanation:

using Vieta's formulas:

x₁ + x₂ = 11

x₁*x₂ = 30

x₁ = 5

x₂ = 6

The problem is asking as to perform an addition of signed numbers.

The firs one to add is 3 and the other one is -7.

We can understand the meaning of this type of addition by using the number line forst, and then have a very simple "short cut" every time we fce problems like this.

The number line approach:

locate yourself at the mark "3" on the number line, and then add the number "-7" whichmeans go to the left (as the negative indicates) 7 units. You will see that you move through zero, and then land on the number "-4".

Answer: I thought you already asked this question.

Step-by-step explanation:

The length of the ladder is L = 8 foot.

The angle of ladder with ground is 70 degree.

The ladder lean on the wall can be expressed as,

Determine height on the wall to which ladder is up on the wall.

So up the wall is the ladder is 8 foot.

Answer:

B. p = −8

Step-by-step explanation:

Hope this helps you on whatever your doing. :))
if its incorrect, please let me know.

The solution is, the value is, p = −8.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

p^3 = −512.

so, we know, p^3 = p*p*p

and, 512 = 8*8*8

now, we get,

p^3 = - 8*8*8

so, solving we get,

p = -8

Hence, The solution is, the value is, p = −8.

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The segments cannot be set equal since the constant terms 15 is greater than two. The variable x remains like a constant term in both sides of the point B.  we say that 15x > 2x

In mathematics, the signs used inequality calculations are

Using the picture as evidence the mark represented by B is not the midpoint hence the equality sign will not be used here. The sign to be used is the inequality sign.

In addition, the constants 15 and 2 shows that 15 is greater than 2. and there is no other addition to the variable x to help check the effect of the greatness of 15

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ANSWER

495 ways

EXPLANATION

Carolina has 12 apps to choose from and she only has space for 4 apps.

To find out how many ways she can do it, we will need to use combination.

That is:

Note: we use combination because the order of the apps is not a factor

So, we have that:

She can arrange them in 495 ways.

We have

Let x = cost of the ticket

After paying for the tickets, Mr. Herman had 125 - x

and Mr Chandra had 80 - x

Then, the equation is:

So, solve for x:

The concert ticket cost is $71

Therefore, Mr. Chandra have left:

Answer: $9

To solve this problem we must use proportions

The length of the shortest ladder is 14.

letter B is the correct answer.

The perimeter and the area of a rectangle of dimensions 15 cm and 8 cm is given as follows:

Considering a rectangle of length l and width w, we have that the area and the perimeter are given, respectively, by these following equations:

In the context of this problem, the dimensions are given/supposed as follows:

l = 15 cm, w = 8 cm.

Applying the rule, the area, in cm², as the variables are multiplied, is given as follows:

A = 15 x 8 = 120 cm².

The perimeter, in cm, as the measures are added, is given as follows:

P = 2 x (15 + 8) = 2 x 23 = 46 cm.

This problem is incomplete and could not be found on any search engine, hence we suppose that it is a rectangle of dimensions 15 cm and 8 cm.

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Answer

Option B is correct.

Angle ABC > Angle DBC

Explanation

Since it's been proven that

Angle ABC = Angle ABD + Angle DBC

Since Angle ABD > 0,

Angle ABC > Angle DBC is the part that completes the proof that

Angle ABC > Angle RST

Hope this Helps!!!

Answer:

$4,167.27

Explanation:

The amount, A(n) in an account for a Principal invested at compound interest is calculated using the formula:

In the given problem:

• P = $11,000.00

• r=11% = 0.11

• n= 3 years

• k=2 (semi-annual)

Substitute these into the formula:

Next, we find the interest earned.

You would earn $4,167.27 in interest (rounded to 2 decimal places).

We have that the floor's dimensions are 15ft x 20ft and the height of the room is 10ft tall. This is

if we extended it we would have:

We want to find how many square foot Brett needs to cover. We just find the area of each side of the studio.

We find it just by multiplying both of its sides (they all are rectangles):

Wall 1

area = 10ft x 15 ft

area = 150 ft²

Wall 2

area = 10ft x 20 ft

area = 200 ft²

Wall 3

area = 10ft x 15 ft

area = 150 ft²

Wall 4

area = 10ft x 20 ft

area = 200 ft²

Floor

area = 15ft x 20 ft

area = 300 ft²

Ceiling

area = 15ft x 20 ft

area = 300 ft²

A condensed way....

TOTAL AREA

Now, we add all the areas found, this will be the total area Brett must cover:

Wall 1 + wall 2 + Wall 3 + Wall 4 + ceiling + floor = total area

150 ft² + 200 ft² + 150 ft² + 200 ft² + 300 ft² + 300 ft² = 1300 ft²

COST

Since the padding costs $2.50 per square foot, and there are 1300 square foot to cover. Brett will spend

$2.50 x 1300 = $3250

Answer: Brett spend on padding $3250

Assum,e that she put x in the account of 3%

So in wizard bonds, she put twice so it is 2x

The rest in the account of 4%

The rest is 100,000 - x - 2x = 100,000 - 3x

The rule of the investment is :

I is the interest, P is the money she invested, r is the rate and t is the time

We will make equation for each account

The sum of the interest is 4,480, so add them and equate the sum by 4,480 to find the value of x

0.03x + 0.11x + 4000 - 0.12x = 4,480

Add like terms in the left side

0.02x + 4000 = 4,480

Subtract 4000 from both sides

0.02x + 4000 - 4000 = 4,480 - 4000

0.02x = 480

Divide both sides by 0.02

x = 24,000

The value in the mutual fund is 100,000 - 3x, so substitute s by 24,000

The mutual fund = 100,000 - 3(24,000) = 100,000 - 72,000 = 28,000

The mutual fund = $28,000

The average rate of change can be calculated as the division of the output of the function on the interest interval by the size of the interval. To do that we have to find the value of "y" at the end of the interval and subtract it by the value of "y" at the beggining. This is shown as an expression below:

For this function the values of x are:

The values for y are:

Using these values we can calculate the average rate of change:

The average rate of change for this function is approximately -3 for the given interval. The correct answer is A.

EXPLANATION

If x+2 is a factor, we need to equal the factor to zero, isolate x and substitute the value into the function:

Plugging in x=-2 into the function:

Computing the powers:

Multiplying numbers:

Adding numbers:

Adding +6m to both sides:

Dividing both sides by 6:

Simplifying:

In conclusion, the value of m is 12

EXPLANATION

As we can see in the graph, we can calculate the slope with the following equation:

Let's consider any ordered pair, as (x1,y1)=(1,7) and (x2,y2)=(5,8), replacing this in the equation will give us:

Answer: the slope is equal to 1/4.

Answer:  B) 46.67% approximately

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Work Shown:

A = it will be cloudy tomorrow

B = it will be rainy tomorrow

P(A) = 0.30

P(B) = 0.15

P(A and B) = 0.14

Apply the conditional probability formula.

P(B given A) = P(A and B)/P(A)

P(B given A) = 0.14/0.30

P(B given A) = 0.4667 approximately

P(B given A) = 46.67% approximately

Answer:

b)  About 46.67%.

Step-by-step explanation:

Let event A = being cloudy.

Let even B = being rainy.

Given probabilities:

Therefore:

Conditional Probability Formula

[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

The probability of being rainy given it is cloudy = P(B | A).

Substitute the given values into the formula:

[tex]\implies \sf P(B|A)=\dfrac{0.14}{0.3}=0.46666...=46.67\%\;(2\;d.p.)[/tex]

Therefore, the probability of it being rainy if you know it will be cloudy is about 46.67%.

By definition, an equation is a statement that two mathematical expressions are equal.

Equations always contain the equal sign "="

Out of the 4 expressions listed, number 2. does not contain the equal sign, which means that this expression is not an equation.

All other expressions contain the equal sign, they can be considered equations.

Given:

Given the equation

Required: Solve for y.

Explanation:

Subtract 2x on both sides.

Multiply both sides by -4.

Final Answer: y = 4(2x - 1)

The type of variation that describes each relationship include the following:

An indirect variation simply refers to a type of proportional relationship in which a variable is inversely proportional to another variable. This ultimately implies that, an indirect variation represents two variables that are inversely proportional to each other, which means as one variable increases, the other variable decreases and vice-versa.

Direct variation refers to a type of proportional relationship in which a variable is directly proportional to another variable. This ultimately implies that, a direct variation represents two variables that are directly proportional to each other, which means as one variable increases, the other variable also increases and vice-versa.

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Explanation:

The zero-factor property states that if ab=0, then either a = 0 or b = 0 (or both). A product of factors is zero if and only if one or more factors is zero.

From these options only B and D have factors, but B equals to 3. In D we have that (3x-2) = 0 or the other factor is zero (or both)

Answer:

The correct answer is option D

SOLUTION

Step1: write out the giving equation

Step2: Integrate both sides of the equation above

Then simplify by integrating both sides

since the initial value is 25,000, then

the Population function is

b). For the population to reach 50,000 the time will be

Multiply the equation by 3, we have

To solve this we rewrite the function as

The value of t becomes

Then it will take approximately

The x and y intercepts of the line is found as (12/5, 0) and (0, -4/3) respectively.

For the given question,

The equation of the line is 5x-9y=-12.

For the x intercept, Put y = 0.

5x-9×0=-12.

x = 12/5

x intercept = (12/5, 0)

For y intercept, put x = 0.

5×0-9y=-12

y = -12/9

y = -4/3

y intercept = (0, -4/3)

Thus, the x and y intercepts of the line is found as (12/5, 0) and (0, -4/3) respectively.

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Answer:

-4 feet (4 feet below sea level)

Salton City's potential elevation is determined to be 3 feet below sea level by using a number line and the elevation of New Orleans, which is 2 feet below sea level.

Therefore,

Salton City should be located to the left of -2, which is a point, at a distance of x -2 feet.

Salton City's elevation, which is determined by the set x -2 feet, is less than 2 feet above sea level.

Since -3 feet is less than -2 feet, Salton City's elevation might be as low as x = 3 feet below sea level, which is less than () 2 feet below sea level.

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