Write 5.7 decimal as a mixed fraction​

By working with the exponential function, we will see that after 13.68 years the value of the card will be $27.09.

We know that the original value is $5.75, and it increases a 12% per year, then the value of the card is given by the exponential function:

\(f(x) = \$ 5.75*(1 + 0.12)^x\)

We want to find the value of x such that:

f(x) = $27.09, so we need to solve:

\(f(x) = \$ 5.75*(1 + 0.12)^x = \$ 27.09\\\\(1.12)^x = 27.09/5.75\)

Now we can apply the natural logarithm to both sides:

\(ln(1.12^x) = ln(27.09/5.75)\\\\x*ln(1.12) = ln(27.09/5.75)\\\\x = \frac{ln(27.09/5.75)}{ln(1.12)} = 13.68\)

This means that after 13.68 years, the value of the card will be $27.09.

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Step-by-step explanation:

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 35000

Alternative Hypothesis, Ha: μ < 35000

Test statistic,

z = (xbar - mu)/(sigma/sqrt(n))

z = (33450 - 35000)/(5978/sqrt(50))

z = -1.83

P-value Approach

P-value = 0.0336

As P-value >= 0.02, fail to reject null hypothesis.

There is not sufficient evidence to conclude that the average College tuition for a law degree costs at least thirty five thousand dollars.

The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

None. There is no solution. None of them are equal. 2 to the fifth power is 32.

Most of them equal to something above 80 or are between 50 and 200.

Answer:

This question gives out some personal info. Please be more careful on the internet.

Step-by-step explanation:

its say your grade and what state you live in.

The option (b) set y equal to a constant other than zero to get the curve of points where the slope is that constant.

A slope field is a visual representation of the slopes of a function's derivative at different points on the xy-plane. The slope at a particular point in the xy-plane is given by the derivative of the function at that point.

To match the given equations with their corresponding slope fields, you need to analyze the behavior of the slopes and isoclines. An isocline is a curve in the plane along which the slope of a function is constant. Isoclines are useful in constructing slope fields by hand, as they help in determining the slope at different points.

To start with, set y equal to zero and observe how the derivative behaves along the x-axis. Similarly, set x equal to zero and observe the behavior of the derivative along the y-axis. These observations will give you an idea of the direction and magnitude of the slope at different points in the xy-plane.

Next, consider the curve in the plane defined by setting y' = 0. This curve represents the points in the picture where the slope is zero. These points are known as critical points or equilibrium points. They are essential in analyzing the stability and behavior of a system.

These curves are called isoclines and can be used to construct the slope field picture by hand.

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Complete Question:

Match the following equations with their slope field. Clicking on each picture will give you an enlarged view. While you can probably sove this problem by guessing, it is useful to try to predict characteristics of the slope field and then match them to the picture Here are some handy characteristics to start with- you will develop more as you practice. Set y equal to zero and look at how the derivatiwe behaves along the x axis. Do the same for the y axis by setting x equal to 0. Consider the curve in the plane defined by setting y' = 0-this should correspond to the points in the picture where the slope is zero. Setting y equal to a constant other than zero gives the curve of points where the slepe is that constant. These are called isoclines, and can be used to construct the slope field picture by hand.

Answer:

yes

Step-by-step explanation:

Answer:

3.899,3.99,4.034,4.234,4.243

Answer:

The fraction can not be reduced, but it can be converted to decimal form.

Exact Form: 10/7

Step-by-step explanation:

The ratio of the number of bottles of coke sfiso buys to cupcakes is 3 :5.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within another value. The sign used to represent ratios are :.

Ratio of coke bottles to cupcakes = 36 : 60

= 3 : 5

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Using proportions, it is found that the total amount budgeted for entertainment is of $720.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching the problem on the internet, it is found that the day trip amount is 10% of the budget for entertainment, hence:

0.1x = 72

x = 72/0.1

x = 720.

Hence the total amount budgeted for entertainment is of $720.

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Using the Central Limit Theorem, it is found that:

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).

The estimate and the sample size are given by:

p = 0.38, n = 168.

Hence the mean is given by:

\(\mu = p = 0.38\)

The standard error is given by:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{168}} = 0.0374\)

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The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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The area of the shaded triangle BDE is 4 cm²

The area is the amount of space within the perimeter of a 2D shape.

area of ΔADE= / *b *h

=1/2 * 8 *5

= 20 cm²

area of ΔBCD

= 26-20

= 6 cm²

area of CDE

= 1/2* 5 * 4

= 10 cm²

Area of shaded triangle,

=10-6

=4 cm²

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Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Alice spent $227.88 on 12 shirts

Step-by-step explanation:

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Step-by-step explanation:

Answer:

144 minutes

Step-by-step explanation:

1 hr  = 60 minutes

5/12 of a fence in 60 mimnnutes

(5/12)x = 60

Multiply both sides by 12/5

x = 60 * 12/5

x = 144

144 minutes

If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, then 144 minutes will take them to complete the job.

An algebraic expression stands for the combination of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Let x be the minutes.

1 hr = 60 minutes

5/12 of a fence in 60 minutes

(5/12)x = 60

Multiply both sides by 12, and we get

\($12 \cdot \frac{5}{12} x=60 \cdot 12$\)

Simplifying the above equation, we get

5x = 720

Divide both sides by 5

\($\frac{5 x}{5} = \frac{720}{5}\)

Simplify

x = 144

The value of x = 144.

Therefore, 144 minutes will take them to complete the job.

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Answer:

lowest form is 1905/28 or 68 1/28 as a mixed number

Step-by-step explanation:

5715/84

÷3 from both sides

5715÷3=1905

5715÷3=28

Answer:

see below

Step-by-step explanation:

every stage is 60m

stage one = -340+60 = -280

stage 2: -280 +60 = -220

stage 3: -220 +60 = -160

stage 4: -160+60 = -100

stage 5: -100+60= -40

stage 6: -40+60 =20

it'll take it 6 stages to fully surface

Answer:

on the first day of picking apples Johny was told to pick 10. The day after that he was told to pick 10 times more than he picked yesterday.The day that after he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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Answer:

Step-by-step explanation:

Saving = old cost - new cost

Saving = ($4 * 1000/30 per month for a year) - ($4 * 1000/50 per month for a year)

Saving = (4000/30 * 12) - (4000/50 * 12)

Saving = (1600) - (960)

Saving = $640 a year

Answer:

21

Step-by-step explanation:

m=5n=2

5-2=3

5×2=10

5²-2²=

25-4=21

hope it helps

Answer:

$4.00

Step-by-step explanation:

There is, in total, 4 people attending the movies. [Zack and his 3 friends]

If each ticket costs $8.00, we can use 4 x $8.00 to find out how much the tickets costs.

4 x $8.00 = $32.00

If his mom paid $48 dollars in total, to get the amount of money they spent on snacks, we can use $48 - $32.

$48 - 32 = $16

We can now divide $16.00 by 4, as everyone [Zack and his 3 friends] got the same snack from the concession stand, and that leaves us with the equation: $16/4 [also known as 16 divided by 4]

$16/4 = $4.00

Each snack set cost $4.00

Answer:

range of the function F(x) is  (-infinity, 3)

Step-by-step explanation:

I do not see the graph function F(x), so will assume that it is a graph of the function F(x) over the complete domain (-inf,inf).

As you can see from the attached graph, the function reaches a maximum at y=+3, and extends all the way to -infinity.

So the range of the function F(x) is  (-infinity, 3)

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

Answer:

1) 38

2) 3

Step-by-step explanation:

f(x)=36+2

f(x)=38

29=9x+2

27=9x

x=3

Question: What is the value of the function at x=−2?

Answer: y=2

Step-by-step explanation: I took the test.

*THIS IS THE CORRECT ANSWER. PLEASE DON'T ANSWER 3. IT IS WRONG!*

Answer: the first one

Step-by-step explanation:

answer a

Answer:

3*10^8

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

4/9

Step-by-step explanation:

Cam has 4 apples and 5 bananas he can choose from. This is a total of 4 + 5 = 9 pieces of fruit.

P(Selecting an apple) = # apples / Total # of choices = 4/9

Answer:

0.44

Step-by-step explanation:

P(select an apple)= 4/9 = 0.44

Khan Academy

Answer:

1

Step-by-step explanation:

across the middle of the B

Answer:

Step-by-step explanation: