write a liner function f with the values f(0) = -4 and f(3)=6

Answer:

13

Step-by-step explanation:

2x+15=6x-37

15=4x-37

52=4x

x= 13

yea its complicated

Answer:

C

Step-by-step explanation:

Answer:θ ≈ 2.57 radians

θ ≈ 0.58 radians

Step-by-step explanation:We can solve this quadratic equation in sin(θ) by factoring:

4sin^2(θ) + 7sin(θ) - 5 = 0

(4sin(θ) - 1)(sin(θ) + 5) = 0

Therefore, either:

4sin(θ) - 1 = 0

sin(θ) = 1/4

or:

sin(θ) + 5 = 0

sin(θ) = -5 (not possible, since sin(θ) is between -1 and 1)

So, we have sin(θ) = 1/4. Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse sine function:

θ = arcsin(1/4)

Using a calculator, we find:

θ ≈ 0.2531 or θ ≈ 2.8887

Therefore, in radians, the solutions for θ are approximately:

0.2531 (which is less than 2π)

2.8887 (which is greater than 2π)

So the only answer that satisfies 0 ≤ θ < 2π is:

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Answer:

150

Step-by-step explanation:

you have three days and 7.5 so decide 7.5 by 3 it equals 2.5 which in minutes is 150

Answer:

$2.41

Step-by-step explanation:

2.29+(2.29*(5.5/100))= 2.41

Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

There was 1 7/8 gallons of gas remaining at the end of the trip.

Bar chart

For 20 charterers

Answer:

About 5043.58

Step-by-step explanation:

The standard form for an exponential decay after t time is:

\(\displaystyle f(t)=a(r)^{t/d}\)

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.

The initial value is 9800. So a = 9800.

The quantity cuts in half. So, r = 1/2.

And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.

Therefore, our function is:

\(\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}\)

Where t is the amount of time that has passed, in hours.

Then the quantity left after 138 hours will be:

\(\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58\)

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

To learn more about : probability

https://brainly.com/question/251701

#SPJ8

Answer:

Step-by-step explanation:

If you plot this angle in the coordinate plane, you will find yourself in the fourth quadrant with a referencew angle of 30. Constructing the triangle from that reference angle and using the Pythagorean triple for a 30-60-90 triangle, you get that the side adjacent to the reference angle is √3, the side opposite the reference angle is a -1, and the hypotenuse (which is NEVER negative!) is 2. The x and y coordinates of the terminal point result from the cos (related to the x coordinate) and the sin (related to the y coordinate). The cos of 30:

\(cos(30)=\frac{\sqrt{3} }{2}\) and the sin of 30:

\(sin(30)=-\frac{1}{2}\) so the coordinates of the terminal point on that angle are

\((\frac{\sqrt{3} }{2},-\frac{1}{2})\)

You could also just go to your unit circle, find the angle 330 and look at the coordiantes they give you there for (cos, sin). But I'm a high school math teacher so I wanted you to know how to find this outside of the unti circle. Cuz what if you lost it!?

The sample size and sample proportion have a substantial impact on whether a sample proportion shows significance, while the number of simulated samples plays a lesser role, as long as an adequate number of simulations are performed (such as 5,000 or more).

To find the p-value using StatKey with at least 5,000 simulated samples and determine whether there is evidence that the coin is biased at a 5% significance level, follow these steps:

1. Determine the sample size (n), sample proportion (p), and number of simulated samples (at least 5,000).

2. Use StatKey to perform the simulation. Input the sample size, sample proportion, and number of simulated samples in the randomization distribution settings.

3. Obtain the p-value from the output generated by StatKey. The p-value represents the proportion of simulated samples with a sample proportion as extreme or more extreme than the observed one.

4. Compare the p-value with the 5% significance level. If the p-value is less than or equal to 0.05, there is evidence that the coin is biased, and you reject the null hypothesis. If the p-value is greater than 0.05, there is not enough evidence to suggest the coin is biased, and you fail to reject the null hypothesis.

Now, let's consider each factor's impact on whether a sample proportion shows significance:

1. The sample size: A larger sample size increases the power of the test and makes it more likely to detect a significant effect if one exists. Smaller sample sizes may not provide enough information to accurately assess whether the coin is biased or not.

2. The sample proportion: A sample proportion farther from the expected value (0.5 for a fair coin) makes it more likely to find significance, as the difference between the observed proportion and the expected proportion is larger.

3. The number of simulated samples in the randomization distribution: Using a larger number of simulated samples increases the accuracy of the p-value estimate. However, once a certain threshold is reached (e.g., 5,000 samples), additional simulations have diminishing returns and do not significantly impact the p-value or the test's conclusions.
for such more question on sample size

https://brainly.com/question/14470673

#SPJ11

Answer:

105% = 105/100 = 21/20 or 1 & 1/20

The results can be shown in multiple forms;

4 = 4, All real numbers, Always true, Interval notation: (-∞,∞).

Move all terms containing \(x\) to the left side of the equation.

\(Subtract\\3x+4-3x=4\\\)

Combine the opposite terms in \(3x+4-3x\)

\(Subtract\\3x from 3x.\\\\0+4=4\\\\Add\\0+4=4 \\4=4*\)

Since \(4=4\) the equation will always be true.

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

Prefer the attachment for ur ans.

a) Paula 2019 Net worth is  $164,510 b) the difference in Paula's net worth, rounded to the nearest whole dollar, is $143,540.

a. To provide Paula with an updated list of her 2019 finances, we need to apply the changes and adjustments mentioned in the description. Let's go through each item:

Income:

- Gross income: Paula believes her gross income will double in 2019, so it will be $68,750 * 2 = $137,500.

- Interest income: Paula expects her interest income to decrease by $145, so it will be $415 - $145 = $270.

Assets:

- Checking account: Paula's checking account will double in value, so it will be $1,970 * 2 = $3,940.

- Savings account: Paula's savings account will also double in value, so it will be $8,650 * 2 = $17,300.

- Automobile: Paula sold her automobile and no longer has it, so the value is $0.

- Personal property: Paula expects her personal property to decrease by one-fourth, so it will be $13,500 - ($13,500 * 1/4) = $10,125.

Expenses:

- Living expenses: Paula plans to reduce her living expenses by one-fourth, so it will be $23,000 - ($23,000 * 1/4) = $17,250.

- Insurance premium: Paula's insurance premium will double, so it will be $290 * 2 = $580.

- Taxes: Paula's taxes will decrease by $240, so it will be $14,900 - $240 = $14,660.

- Medical expenses: Paula's medical costs will increase by $405, so it will be $610 + $405 = $1,015.

- Investment expenses: Paula hopes to cut her investment expenses by one-third, so it will be $3,600 - ($3,600 * 1/3) = $2,400.

Liabilities:

- Note to bank: Paula sent a $375 check to reduce her bank note, so it will be $5,000 - $375 = $4,625.

Now we can calculate the updated net worth for 2019:

Net worth = Assets - Liabilities

2019 Net worth = ($137,500 + $270 + $3,940 + $17,300 + $10,125) - $4,625

2019 Net worth = $169,135 - $4,625

2019 Net worth = $164,510

b. To calculate the difference in Paula's net worth between 2018 and 2019, we can round all the asset and liability values and subtract them:

2018 Net worth = $20,970

2019 Net worth (rounded) = $164,510

Difference = 2019 Net worth (rounded) - 2018 Net worth

Difference = $164,510 - $20,970

Difference = $143,540

Therefore, the difference in Paula's net worth, rounded to the nearest whole dollar, is $143,540.

Learn more about Net worth at https://brainly.com/question/27218751

#SPJ1

Answer:

[(15)(15) + 3] = 225

Step-by-step explanation:

Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

As a result, the shipping container can hold a maximum of 203 100-kilogram crates.

In mathematics, an inequality is a statement that compares two values and shows the relationship between them. It uses symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to) to show the direction and type of the comparison.

For example, the inequality "2 < 4" means that 2 is less than 4. The inequality "x + 3 ≥ 7" expresses that the value of x plus 3 is greater than or equal to 7.

Inequalities can be solved to find the values that satisfy the condition expressed by the inequality. For example, to solve the inequality "x + 3 ≥ 7", we can subtract 3 from both sides to isolate x:

x + 3 ≥ 7

3 ≥ - 3

x ≥ 4

So, x is greater than or equal to 4. This means that any value of x that is 4 or greater will satisfy the inequality "x + 3 ≥ 7".

Here,

The inequality that can be used to determine the greatest number of 100-kilogram crates that can be loaded onto the shipping container is:

7200 + 100c <= 27500

Where c represents the number of 100-kilogram crates that can be loaded onto the shipping container. To solve for c, we can isolate c on one side of the equation:

7200 + 100c <= 27500

7200 <= 27500 - 100c

(7200 <= 27500 - 100c)/ 100

72 <= 275 - c

0 <= 203 - c

c <= 203

So, the greatest number of 100-kilogram crates that can be loaded onto the shipping container is 203.

To know more about inequality,

https://brainly.com/question/30238995

#SPJ1

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

x= 20

Step-by-step explanation:

5.70x3x=17.1x

17.1x+4.05x=21.15x

21.15x=423

423/21.15=20

x=20

Hope this is the answer you were looking for.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

For more such questions on square root

https://brainly.com/question/428672

#SPJ8

Answer:

Step-by-step explanation:

\( \space\)

A = b × h

=> 154.5 = b × 15

=> b = \( \sf{\frac{154.5}{15} }\)

=> 10.3 cm

\( \space\)

Hope it helps!

Have a great day! :)

Answer:

1

Step-by-step explanation:

f(-2)=-2x-3

plug in the -2

f(-2)= -2(-2) -3

multiply it out

f(-2)= 4-3

subtract

f(-2)= 1

Answer:

1,757,600.

Step-by-step explanation:

I am assuming you are allowing duplicates.

Number of possible letters = 26^3

Possible numbers = 10^2

Number of unique Ids = 10^2 * 26*3

= 1,757,600.