The degree of the polynomial p(x) = 5 is given by option 3) zero.
Polynomial is equal to,
p( x ) = 5
The degree of a polynomial is the highest power of its variable.
Here, in this case the polynomial p(x) = 5 has no variable term.
It has only constant terms present in the polynomial p ( x ).
Standard form of the polynomial is written as,
p(x) = a₁xⁿ + a₂xⁿ⁻¹ + a₃ xⁿ⁻² + ..........+ aₙ x⁰
Where a₁ , a₂ , a₃ ,....., aₙ are constants.
As x⁰ = 1
Represent the polynomial in the standard form we get,
p(x) = 5× 1
⇒ p( x ) = 5x⁰
A constant polynomial always has a degree of 0.
Therefore, the degree of the given polynomial is option 3) 0.
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Find the missing endpoint, help
Answer:
M = (13, - 6 )
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.
L (- 9, 4 ) , let M = (x, y ) , then
\(\frac{-9+x}{2}\) = 2 ( multiply both sides by 2 )
- 9 + x = 4 ( add 9 to both sides )
x = 13
and
\(\frac{4+y}{2}\) = - 1 ( multiply both sides by 2 )
4 + y = - 2 ( subtract 4 from both sides )
y = - 6
Then
coordinates of M = (13, - 6 )
50 is what percent of 1000
Answer:500
explanchion: 1000/50=500
The table shows the results of a survey in which Americans were asked how long food could be on the floor and still be safe to eat.
b. Describe the kind of arcs associated with the first category and the last category.
In order to accurately describe the kind of arcs associated with the first and last categories mentioned in the table, it would be helpful to have a visual representation or further information about the specific categories and their corresponding data. Without that additional context, it is not possible to provide a precise description of the arcs associated with these categories.
However, generally speaking, arcs in the context of survey data can refer to segments or sections of a circle or graph that represent a specific category or response option. The shape, length, and position of the arcs can vary depending on the data and the way it is presented. In some cases, arcs may be evenly distributed around a circle to represent different response options, while in other cases, they may appear as segments on a bar graph or pie chart.
To accurately describe the kind of arcs associated with the first and last categories mentioned in the table, it would be necessary to know more details about the table, such as the specific response options, the format of the data presentation, and any visual cues or indicators provided. With this additional information, it would be possible to provide a more specific and meaningful description of the arcs associated with the first and last categories.
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the cost of producing smartphones has fallen over the past decade. consider some implications of this change.show the effect of falling production costs on the market for smartphones.
As the cost of producing smartphones has fallen over the past decade, several implications and effects on the market for smartphones can be observed:
1. Lower prices: Falling production costs have led to lower prices for consumers, making smartphones more affordable and accessible to a broader population.
2. Increased demand: Lower prices have also resulted in increased demand for smartphones, as more people can now afford them. This has led to a higher sales volume in the market.
3. Market expansion: The accessibility and affordability of smartphones have led to market expansion, as smartphones become more prevalent in both developed and developing countries.
4. Greater competition: The lower production costs have enabled more companies to enter the smartphone market, increasing competition and leading to more product variety for consumers.
5. Innovation and improvement: Due to the increased competition, companies are constantly seeking ways to differentiate their products through innovative features, improved design, and better performance.
Overall, the falling production costs of smartphones have positively impacted the market by lowering prices, increasing demand, and driving innovation and competition.
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A playground slide is 14.5 feet long with an 8.5-foot tall ladder.
The angle that the slide makes with the ground is approximately 30.8 degrees.
What is tangent?The ratio of a right triangle's adjacent side's length to its opposite side's length is known as the tangent in trigonometry. One of the six trigonometric functions, along with sine, cosine, cosecant, secant, and cotangent, it is denoted by the symbol "tan". Problems involving angles and distances are frequently solved using the tangent function, especially in the sciences of geometry, physics, and engineering.
The tangent function, which relates the opposite side thus:
tan(x) = opposite/adjacent = 8.5/14.5
x = arctan(8.5/14.5) ≈ 30.8 degrees
Hence, the angle that the slide makes with the ground is approximately 30.8 degrees.
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The complete question is:
A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with the ground, x, to the nearest degree?
Evaluate the expression −x^2 + 2x-7 when X=-4
The base of a solid is the area enclosed by y=3x^2,x=1, and y=0. Find the volume of the solid if slices made perpendicular to the x-axis are semicireles. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Given: The base of a solid is the area enclosed by y = 3x2, x = 1, and y = 0.
We know that, when slices are made perpendicular to the x-axis, the cross-section of the solid is a semi-circle.
Given, the solid has base as the area enclosed by y = 3x2, x = 1, and y = 0.
The graph is as shown below: Here, the base is from x = 0 to x = 1.
The radius of semi-circle at any point x is given by r = y = 3x2
The area of semi-circle at any point x is given by A = (1/2) πr2 = (1/2) πy2 = (1/2) π(3x2)2 = (9/2) πx4.
The volume of the solid is given by the integral of the area of the semi-circle with respect to x from x = 0 to x = 1, which is as follows:
∫V dx = ∫(9/2) πx4 dx from x = 0 to x = 1V = [9π/10] [1^5 − 0^5] = 9π/10
Thus, the volume of the solid is 9π/10. Hence, this is the required answer.Note:Here, the cross-section of the solid is not the same for all x. The cross-section is a semi-circle, which is perpendicular to the x-axis and has a radius of 3x2.
Hence, we can compute the area of the cross-section by finding the area of the semi-circle with radius 3x2. The volume of the solid is the integral of the area of the cross-section with respect to x, from x = 0 to x = 1.
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What is the slope of the line on the graph?
3x + 4 = 5x - 12; x = 8 true or false?
Answer:
True.
Step-by-step explanation:
To find out if the statement is true, just plug in 8 each time you see x.
3(8)+ 4 = 28
5(8) - 12 = 28
This proves the statement is true, x = 8.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer: False
Step-by-step explanation:
3x + 4 =5x - 12
step1: get x by it self
you would get; 4 = 2x - 12
step2; make zero-pairs
you would get; 2x - 8
lastly; 8÷2=4x
Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
By dividing the figure in a rectangle and a circle, we will see that the area of the composited figure is equal to 149.25 square units.
How to find the area of the image?The area will be the area of the rectangle plus the area of the semicircle.
We can see that the width of the rectangle is equal to the diameter of the semicircle, and the radius of the semicircle is 5 units, so its diameter is:
2*5 = 10 units.
Then the rectangle measures 11 units by 10 units, then its area is:
A = 10*11 = 110 square units.
In another hand, for a semicircle of radius R the area is:
A = 0.5*3.14*R^2
In this case we have R = 5, replacing that we get:
A = 0.5*3.14*5^2 = 39.25 square units.
Adding these two we get:
Area = 110 square units + 39.25 square units = 149.25 square units.
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Sony released 15,000 PS5’s online, 95% of them were purchased by bots. How many PS5’s were purchased by bots? How many PS5’s were left for everyone else?
Answer:
14250 purchased by bots, 750 purchased by humans.
Step-by-step explanation:
Answer:14250 were purchased by bots and 750 were left
Step-by-step explanation:95% of 15000 is 14250 so that's how many bots had bought ps5 so to find out how many people bought the ps5 you minus 14250 from 15000
B = 75*
C = 50*
A = ?*
Answer: A = 55* or 55 degrees
Step-by-step explanation:
The interior angles of a triangle always have a sum of 180 degrees.
75 + 50 + x = 180
Solve for x
FInal answer: 55 degrees
hope i explained it :)
suppose you roll 4 fair standard 9-sided dice, noting the number showing on each die. let x be the random variable denoting the number of 1's showing. write all possible numerical values for x. enter a list of numbers in ascending order, separated by commas.
Ans - The random variable, x, represents the number of 1's showing when rolling 4 fair standard 9-sided dice , and The possible numerical values for x, in ascending order, are 0, 1, 2, 3, and 4.
When rolling a fair standard 9-sided die, the numbers that can appear are 1, 2, 3, 4, 5, 6, 7, 8, and 9. We want to determine how many 1's show up when rolling 4 dice.
Let's consider each possibility:
1. No 1's: This means that none of the 4 dice shows a 1. In this case, x would be 0.
2. One 1: One of the 4 dice shows a 1, while the other 3 dice show numbers other than 1. We can choose any of the 4 dice to be the one showing a 1, so there are 4 possibilities. In this case, x would be 1.
3. Two 1's: Two of the 4 dice show a 1, while the other 2 dice show numbers other than 1. We can choose any 2 dice to show a 1, so there are (4 choose 2) = 6 possibilities. In this case, x would be 2.
4. Three 1's: Three of the 4 dice show a 1, while the remaining die shows a number other than 1. We can choose any 3 dice to show a 1, so there are (4 choose 3) = 4 possibilities. In this case, x would be 3.
5. Four 1's: All 4 dice show a 1. There is only 1 possibility in this case. In this case, x would be 4.
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H=3da+f. what is the answer for this.
Answer:
Bro it is simplified form
Step-by-step explanation:
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Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?
Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?
What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?
Answer:
55
Step-by-step explanation:
the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 5y² + 4x
To calculate the value of expression at x = 2.5 and y = 3
Substitute the value of x and y in the expression:
=> 5y² + 4x
=> 5* 9 + 4 * 2.5
=> 45 + 10
=> 55
therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.
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find the line of reflection if the image of (-5, -2) is each of the following
a. (5, -2) |_____|
b. (2, 5) |_____|
c. (-5, 0) |_____|
d. (1, -2) |_____|
Answer:
A: -5, 2
B: -2, -5
C: 5, 0
D -1, 2
Hope this helps!
60 3) The temperature at a point (x,y) on a flat metal plate is given by T(x, y) = 1+x² + y2 where T is measured in °C and x,y, in meters. Find the rate of change of temperature with respect to dist
The rate of change of temperature with respect to distance is given by dT/dd = 2T / d, where T is the temperature function and d is the distance function defined as the square root of the sum of squares of x and y.
To find the rate of change of temperature with respect to distance, we need to determine the distance function in terms of x and y. The distance function can be defined as the square root of the sum of squares of x and y, i.e., d = √(x² + y²).
We are given the temperature function T(x, y) = 1 + x² + y². To find the rate of change of temperature with respect to distance, we need to compute dT/dd, where dd represents the derivative of the distance function.
Using the chain rule, we can express dT/dd as follows:
dT/dd = ∂T/∂x * ∂x/∂d + ∂T/∂y * ∂y/∂d,
where ∂T/∂x and ∂T/∂y represent the partial derivatives of T(x, y) with respect to x and y, respectively.
Let's compute the partial derivatives:
∂T/∂x = 2x,
∂T/∂y = 2y.
To find ∂x/∂d and ∂y/∂d, we can differentiate the distance function with respect to x and y, respectively:
∂x/∂d = x/d,
∂y/∂d = y/d.
Now, substituting these values into the equation for dT/dd:
dT/dd = 2x * (x/d) + 2y * (y/d),
= (2x² + 2y²) / d,
= (2(x² + y²)) / d,
= 2T / d.
Therefore, the rate of change of temperature with respect to distance is given by dT/dd = 2T / d.
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Hi can anyone help me with this question
Answer:
12000 liters.
Step-by-step explanation:
The depth of the oil in the tank is 1.2 m.
The height of the oil is 1.2 m.
Length is 5 m and width is 2 m.
The volume of a rectangular prism is l×w×h.
5×2×1.2
= 12
The volume of the oil in the tank is 12 m³.
1 m³ = 1000 liters
12×1000 = 12000 liters.
The quantity of oil in the tank is 12000 liters.
What number and what percent describe the probability of a certain event?
Enter the correct answers in the boxes.
The probability of a certain event is
__ or __%.
The probability of an impossible event is
__ or __%.
Answer:
The probability of a certain event is 1 or 100%
The probability of an impossible event is 0 or 0%
Answer:
See below ~
Step-by-step explanation:
The probability of a certain event is 1 or 100%.The probability of an impossible event is 0 or 0%.A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds. Use 3.14 as an approximation for pie, and give a numerical answer.
Answer:
3.764
Step-by-step explanation:
just try matgs is a tough de partoeWhat is the value of n?
Answer:
14
Step-by-step explanation:
Complementary and supplementary angles (no visual)
Za and Zb are complementary angles. Za measures 55°.
What is the measure of Zb?
Stuck? Watch a video or use a hint.
Report a problem
Pi
Tea
7 of 7
Answer:
b=35°
Step-by-step explanation:
complementary angles add up to 90°
a+b=90°
55°+b=90°
-55 -55
b=35°
hopefully this helps :)
(-10)-(-6) ( subtracting integers)
Negative when subtracted is counted as positive because negative multiplied with negative gives positive
-10-(-6)
-10+6
-4 answer
Answer:
-4
Step-by-step explanation:
(-10)-(-6)=
-10 + 6=
-4
hope this helps
have a good day
An object with a mass of 7.5kg accelerates 8.3m/s2 when an unknown force is applied to it. What is the amount of force
Answer: The amount of force (F) can be calculated using Newton's second law of motion, which states that force is equal to mass times acceleration:
F = m*a
where F is the force, m is the mass, and a is the acceleration.
Plugging in the given values, we get:
F = 7.5kg * 8.3m/s^2
F = 62.25 N
Therefore, the amount of force applied to the object is 62.25 Newtons.
Step-by-step explanation:
Please help I don't understand. If you could explain that would be great too.
What is 69.37 minus 1.93
Answer:
the answer is 67.44 hope it helps smile
Two trains leave stations 224 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour whilethe other travels at 85 miles per hour. How long will it take for the two trains to meet?Do not do any rounding.
The distance between two trains is 224 miles.
The speed of one train is 75 miles per hour and the speed of the second train is 85 miles per hour.
The train is moving towards each other. So the relative speed of the train is,
\(\begin{gathered} 75-(-85)=75+85 \\ =160 \end{gathered}\)So the distance between trains 224 miles is covered at the speed of 160 miles per hour.
Determine the time after which trains meet each other.
\(\begin{gathered} t=\frac{224\text{ miles}}{160\text{ miles/hour}} \\ =1.4\text{ hours} \end{gathered}\)So two trains meet after 1.4 hours.
at what point (x,y) is the function f(x)=6−7x closest to the point (−10,−4)? enter an exact answer.
The exact solution of this equation involves solving a quadratic equation, which may not result in a simple integer value for x.
To find the point (x, y) on the function f(x) = 6 - 7x that is closest to the point (-10, -4), we need to minimize the distance between the two points.
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we want to minimize the distance between the point (-10, -4) and any point on the function f(x) = 6 - 7x. So we can set up the distance equation:
d = sqrt((-10 - x)^2 + (-4 - (6 - 7x))^2)
To find the point (x, y) that minimizes the distance, we can find the value of x that minimizes the distance equation. Let's differentiate the distance equation with respect to x and set it equal to zero to find the critical point:
d' = 0
Differentiating and simplifying the equation, we get:
(-10 - x) + (-4 - (6 - 7x))(-7) = 0
Solving this equation will give us the value of x at the closest point. Plugging this x-value into the function f(x) = 6 - 7x will give us the corresponding y-value.
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A state highway patrol official wishes to estimate the percentage/proportion of drivers that exceed the speed limit traveling a certain road.
A. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 3 %? Note that you have no previous estimate for p.
B. Repeat part (A) assuming previous studies found that the sample percentage of drivers on this road who exceeded the speed limit was 65%
A) Approx. 1067 is the required sample size to ensure 95% confidence that the sample proportion will not differ from the true proportion by more than 3%.
B) When the previous estimate is 65%, approx. 971 is the sample size needed to achieve 95% confidence that the sample proportion will not differ by more than 3% from the true proportion.
How to calculate the sample size needed for estimating the proportion?To determine the sample size needed for estimating the proportion of drivers exceeding the speed limit, we can use the formula for sample size calculation for proportions:
n = (Z² * p * (1 - p)) / E²
where:
n = the sample size.
Z = the Z-value associated with the confidence level of 95%.
p = the estimated proportion or previous estimate.
E = the maximum allowable error, which is 3% or 0.03.
We calculate as follows:
A. No previous estimate for p is available:
Here, we will assume p = 0.5 (maximum variance) since we don't have any prior information about the proportion. So, adding the values into the formula:
n = (Z² * p * (1 - p)) / E²
n = ((1.96)² * 0.5 * (1 - 0.5)) / 0.03²
n= (3.842 * 0.5 * (0.5))/0.03²
n = (1.9208*0.5)/0.0009
n ≈ 1067.11
Thus, to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%, a sample size of approximately 1067 is required.
B. Supposing previous studies found that the sample percentage of drivers who exceeded the speed limit is 65%:
Here, we have a previous estimate of p = 0.65:
Putting the values into the formula:
n = (Z²* p * (1 - p)) / E²
n = ((1.96)² * 0.65 * (1 - 0.65)) / 0.03²
n= (3.842 * 0.65 *(0.35))/0.0009
n ≈ 971
Hence, with the previous estimate of 65%, a sample size of approximately 971 is necessary to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%.
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