Consider the sequence 3, 9, 15, 21, ...

Enter numbers in the boxes to represent the second term as an ordered pair.

(
,
)

In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

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Check the picture below.

Make sure your calculator is in Degree mode.

Answer: 57 = y

Step-by-step explanation: To find the value of y in this problem, we use the exterior angle theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

So in the diagram shown, the exterior angle, 114,

is equal to the sum of the remote interior angles, y + y.

So we have 114 = y + y.

Solving from here, first combine like terms on the right side.

So we have 114 = 2y.

Now divide both sides by 2 to get 57 = y.

Answer:

1.6 ft.

Step-by-step explanation:

Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:

Volume = πr²h/3

Therefore substituting gives:

Volume = π(1)²(2)/3 = 2π/3 ft³

Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.

Volume of sphere = 4πr³/3

4πr³/3 = 2π/3

2r³ = 1

r³ = 1/2 = 0.5

r = ∛0.5 = 0.8 ft.

Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.

Answer: He sold 19 cars last month

Step-by-step explanation:

set up the equasion: 1352.35 + 133.04x = 2880.11

x is the number of cars sold

solve: 2880.11 - 1352.35 is 2527.76

133.04x = 2527.75

2527.75 divided by 133.04 is 19

x = 19

Replace the letters with their value:

4^3 = 4 x 4 x 4 = 16 x 4 = 64

The answer is 64

Answer:

64 is the answer

Step-by-step explanation:

hope this helped!

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

\(n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months\)

Therefore, it will take 88.2 months to accumulate the amount.

Answer:

\(75^{\circ}\)

Step-by-step explanation:

Given: \(\csc (x) = 1.0353\)

To find: angle to the nearest degree

Solution:

A triangle is a polygon that has three sides, three angles ,and three vertices.

Trigonometry explains the relationship between the sides and angles of the triangle.

The angle can be expressed in two forms: degrees or radians.

\(\csc (x) = 1.0353\\x=74.995\approx 75^{\circ}\)

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

The period of time between treatments in which no treatment is given so that the effects of a previous treatment are eliminated before introducing a new treatment is called a washout period.

This period allows the body to return to its baseline state before starting a new treatment. The duration of the washout period depends on the specific treatment and its effects on the body.

The washout period allows for the evaluation of the effects of the new treatment without interference from the previous medication or treatment. The goal of a washout period is to reduce the potential for confounding variables that could impact the accuracy and reliability of the study results.

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Answer:

-7.6

Step-by-step explanation:

Answer:

1. 2(5)-[4(3) / 3] = 10-(12/3) = 10-4 = 6 (A)

2. 3600 inches and 2800 centimeters so (True)

3. 24 cupcakes, 2 cups, 288 cupcakes, how many quarts (around 1 litre)

288/24 = 12 times, each time need two cups. so (A) 12 quarts

4. 3.5 meters ≈ 11.48 feet (B)

Answer:

1) I think its D

2) A

3) A

4) A

Step-by-step explanation:

Answer:

\(A=172.04\ in^2\)

Step-by-step explanation:

Given that,

The side length of a regular pentagon = 10 inches

The distance from the center to a vertex of 10 inches

The formula for the area of a regular pentagon is given by :

\(A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5} } }\ a^2\)

Put a = 10

So,

\(A=\dfrac{1}{4}\times \sqrt{5(5+2\sqrt{5} )} \times 10^2\\\\A=172.04\ in^2\)

So, the area of a regular pentagon is equal to \(172.04\ in^2\).

\(71\% = \frac{70}{100} = \frac{7}{10} = 0.7 \\ 172\% = \frac{172}{100} = 1.72 \\ 6\% = \frac{6}{100} = 0.06\)

Answer:

C

Step-by-step explanation:

introducing the stem mining weevil and fly to the field because they have different food sources makes the most sense to me

Answer: the answer is c good day !!

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

A.)

Differentiating based on the shape of the box and whisker plot.

The first plot, named shrella depicts a skewed distribution, (negative skew) highlighted by the long whisker (tail) to the left with the median also shifting towatds to the right of the box away from the box center. This could mean that the time difference between the coins aren't even and older coins seem to exhibit a larger time gap than newer coins.

The second plot however. VENITA, depicts a distribution which could be described as normal, as the whiskers are aodt of equal length and the median centered in the middle of the box. This could mean that Venita's coins are evenly spread out based time.

B.)

As for the overall spread, Shrella's plot covers a wider range, hence (larger spread) than Venita's plot. Thanks to the long whiskers in Shrella's plot.

For the spread within the boxes, Venita's plot has a larger within box spread than Shrella. With Venita's plot has a wider box tham Shrella's box plot.

C)

The appropriate measure of centre to be used is the median which is denoted by the vertical line in between the box. Shrella's plot has a median value of about 68 while Venita's has a median value of 60. The median value are still s bit close or similar.

Answer:

All of the above

Step-by-step explanation:

Also, this is a history, not a maths problem

Answer: 264

Step-by-step explanation:

The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

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Answer: \(3 hr and 27 min\)

Step-by-step explanation:

Given

Frank practiced piano for \(2\frac{1}{3}\ \text{hours}\) yesterday and \(1\frac{1}{8}\ \text{hours}\)

In total frank practiced

\(\Rightarrow 2\dfrac{1}{3}+1\dfrac{1}{8}\\\\\Rightarrow \dfrac{7}{3}+\dfrac{9}{8}\\\\\Rightarrow \dfrac{7\times 8}{3\times 8}+\dfrac{9\times 3}{8\times 3}\\\\\Rightarrow \dfrac{56+27}{24}=\dfrac{83}{24}\ \text{hours}\\\Rightarrow \dfrac{83}{24}\ \text{hours}\ or\ 3\ \text{hours and 27 min 30s}\)

Answer:

4xy+13x

Step-by-step explanation:

5xy+7x+6x-xy

5xy-xy=4xy

7x+6x=13x

5xy+7x+6x-xy=4xy+13x

The correct answer is d. Bell-shaped curve. The normal curve is often referred to as a bell-shaped curve due to its characteristic shape resembling a bell.

It is a continuous probability distribution that is symmetric and unimodal. The curve is defined by the mean and standard deviation of a normal distribution. It is widely used in statistics and probability theory to model various phenomena in fields such as social sciences, natural sciences, and engineering.

The normal curve is called a bell-shaped curve because it has a characteristic shape resembling the outline of a bell. The curve is symmetric, meaning it is equally balanced on both sides of its center. The highest point of the curve is at the mean, and the curve tapers off symmetrically in both directions.

This shape is a result of the probability density function of the normal distribution, which assigns higher probabilities to values close to the mean and lower probabilities to values further away. The normal curve is widely used in statistical analysis and provides a useful approximation for many real-world phenomena.

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Based on the passage you provided, it seems like you are being asked to apply principles of logic and construct a truth table based on the premises and conclusion presented in the passage. To accomplish this, you need to follow the three steps outlined:

Step 1: Break the premises into several statements (usually denoted by p, q, r, etc.)

From the passage, we can identify the following statements:

- Statement 1: Water is fundamental for life and the environment.

- Statement 2: Water crisis is one of the most important challenges of the 21st century.

- Statement 3: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- Statement 4: If all public services collaborate to address the water scarcity problem, then the governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- Statement 5: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- Statement 6: Therefore, there is no efficient collaboration among various public sectors to address the water shortage problem.

Step 2: Express the premises and conclusion symbolically.

Using the statements identified above, we can symbolically represent them as follows:

- p: Water is fundamental for life and the environment.

- q: Water crisis is one of the most important challenges of the 21st century.

- r: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- s: All public services collaborate to address the water scarcity problem.

- t: Governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- u: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- v: There is no efficient collaboration among various public sectors to address the water shortage problem.

Step 3: Construct a truth table.

To construct a truth table, assign truth values (T or F) to each statement and evaluate the truth value of the conclusion based on the truth values of the premises

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Answer: x=560 miles per hour

Step-by-step explanation:

\(\displaystyle\\2.25=\\\\2\frac{1}{4}= \\\\\frac{2*4+1}{4}=\\\\\frac{8+1}{4}=\\\\\frac{9}{4}\ hours\)

The second plane left at 10:00 a.m. so, him fly was 1.25 hours:

\(\displaystyle\\1.25=\\\\1\frac{1}{4}=\\\\\frac{1*4+1}{4}=\\\\\frac{4+1}{4} =\\\\\frac{5}{4} \ hours\)

Let x represent the first plane's average rate

Hence, (x-108) represent the second plane's average rate

So,

\(\displaystyle\\\frac{9}{4}x+\frac{5}{4} (x-108)=1825\ \ \ \ (1)\\\)

Multiply both parts of the equation by 4:

\(9x+5(x-108)=7300\\\\9x+5x-540=7300\\\\14x-540+540=7300+540\\\\14x=7840\)

Divide both parts of the equation by 14:

\(x=560\ miles/hour\)

The equation the represents the situation is x / 12 = 6, and the number of songs that he downloaded is 72

Consider the total number of songs that Oliver downloaded as x

The given statement is "The number of song Oliver has downloaded this year, divided by 12, is equal to 6

The equation will be

x / 12 = 6

The equation is defined as the mathematical statement that shows the relationship between one expression and another expression. The equation consist of variables, numbers and mathematical operator

The equation is

x / 12 = 6

Solve the equation

x = 6 × 12

= 72 songs

Therefore, he downloaded 72 songs this year

The complete question is

The number of song Oliver has downloaded this year, divided by 12, is equal to 6. What is an equation that represent this situation, and how many song has Oliver downloaded?

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(a) The values of f(0) = 3 and g(2) = 2.

(b) The values of x for which f(x) = g(x) are -2, 2.

(c) The solutions of the equation f(x) = −1 are x = -3, 4.

(d) The interval on which f is decreasing is [0, 4].

(e) The domain and range of f are:

domain = [-4, 4].

range = [-2, 3].

(f) The domain and range of g are:

domain = [-4, 3].

range = [-0.5, 4].

In Mathematics and Geometry, a function is an equation which defines and represents the relationship that exist between two or more variables.

Part a.

By critically observing the graph of f(x) and g(x) shown in the image attached below, the corresponding output values are as follows:

f(0) = 3.

g(2) = 2.

Part b.

The values of x for which f(x) is equal to g(x) are x = -2 and x = 2;

f(-2) = g(-2) = 1.

f(2) = g(2) = 2.

Part c.

The estimated solutions of the equation f(x) = −1 are as follows;

f(-3) = -1

f(4) = -1

Therefore, x = -3, 4.

Part d.

The function f(x) is decreasing over this interval [0, 4].

Part e.

By critically observing the graph of f(x) shown in the image attached below, we can logically deduce the following domain and range:

domain = [-4, 4].

range = [-2, 3].

Part f.

By critically observing the graph of g(x) shown in the image attached below, we can logically deduce the following domain and range:

domain = [-4, 3].

range = [-0.5, 4].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: x=(4/3) and x=3

Solve by using factoring. let me know if you have questions on how to do so.

In general, equipotential lines do not cross each other. However, there are certain circumstances where they can cross.

Equipotential lines represent regions of equal potential in a physical system, such as electric or gravitational fields. These lines are perpendicular to the field lines and indicate points with the same potential value. Under normal conditions, equipotential lines do not intersect because each line corresponds to a unique potential value, and no two points in a system can have the same potential value.

However, there are situations where equipotential lines can cross. This can occur when there are multiple sources of potential in the system or when the potential varies in a complex manner. In such cases, the equipotential lines may intersect each other, indicating regions with different potential values coming into close proximity.

It is important to note that the crossing of equipotential lines does not violate the basic principles of potential theory. Instead, it reflects the intricate and complex nature of the underlying physical system, where multiple influences or varying potentials can lead to the crossing of equipotential lines.

Therefore, while it is uncommon for equipotential lines to cross, certain circumstances can give rise to such crossings in systems with multiple sources of potential or complex potential variations.

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Answer:

Step-by-step explanation:

Answer to first question = her mistake was that she wrote the constant to be 10 whereas the constant is actually -10 once you rearrange the equation to look like a quadratic equation.

Quadratic equations are written in form of ax^2 + bx + c = 0

You are given x^2 + 3x = 10, first you need to bring the constant c (10) to the left side (by subtracting 10 on both sides).

x^2 + 3x - 10 = 0

c = -10

Answer to second part:

x = 2, -5

The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.

Therefore, the volume of the tank can be found using the given information as:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.

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