Answer:
1/4
Step-by-step explanation:
4/4-3/4=1/4
Determine which integer will make the inequality 2(n + 2) < 5(n − 1) true.
S:{10}
S:{3}
S:{2}
S:{0}
Hence, when \(n=10\) the given inequality is true.
What is the inequality?
An inequality is said to be sharp if it cannot be relaxed and still be valid in general.
Here given that,
Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.
So,
\(2(n + 2) < 5(n-1)\)
When
\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)
Hence, when \(n=10\) the given inequality is true.
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the figure above shows the graph of the twice-differentiable function g and the line tangent to the graph of g at the point (0,3). the value of limx→0g(x)e−x−3x2−2x is
Using L'Hopital's rule, we can find that the limit is equal to (g(0) - 3)/2.
Since the line tangent to g at (0,3) has slope 2, we know that g(0) - 3 = 2(0) = 0. Therefore, the limit is 0/2 = 0. Based on the given information, we have a twice-differentiable function g(x) and its tangent line at the point (0,3). To find the value of the limit as x approaches 0 for g(x)e^(-x) - 3x^2 - 2x, we can use L'Hopital's rule since it involves indeterminate forms of the type 0/0 or ∞/∞. Apply L'Hopital's rule twice on the given expression. Then, evaluate the resulting expression at x=0. This will give you the value of the limit for the given expression. Make sure to check if the conditions for using L'Hopital's rule are met before applying it.
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Jennie has 4 gallons of punch that she will pour into pint-size glasses. How many pints will she have?
The required, Jennie will have 32 pints of punch to pour into pint-size glasses.
There are 8 pints in a gallon. So, 4 gallons of punch will contain:
4 x 8 = 32 pints
Therefore, Jennie will have 32 pints of punch to pour into pint-size glasses.
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A cylinder has a radius of 40ft and height of 17ft. What is the exact surface area of the cylinder?
A. 1360ft^2
B. 3200ft^2
C. 4560ft^2
D. 680ft^2
Which graph shows the line of best fit for the data ?
The bottom left graph is the line of best fit for the graph in this problem.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
Hence the graph of the line of best fit should have the smallest possible residual values, meaning that the points on the scatter plot are the closest possible to the line.
For this problem, we have that the bottom left graph has the smaller residuals, hence it shows the line of best fit for the data.
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If the star Aldebaran rises tonight at 2:00 a.m., when do you expect it to rise next month?
a) 11:00 pm.
b) midnight.
c) 1:00 am. d) 2:00 am. e) 3:00 am
Your answer is option b)
The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.
Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes
Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours
Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)
Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.
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Please help!! I don’t understand this :(
Answer:
1c
2b
Step-by-step explanation: i think im not absolutly
shure
the HCf of 30 and40
Answer:
The HCF of 30 and 40 is 10
Answer:
10
Step-by-step explanation:
Well to find the GCF of HCF which are the same thing we have to make of list of factors of 30 and 40.
Look at the image below
after making the list find the greatest common factor which is 10.
Simplify the expression (4h³) ³
drag the item from the item bank to its corresponding match.
Answer:
\(b^{7}\)x\(b^{5}\)=\(b^{12}\)
14x^8 /7x^4 = 2x^4
15x^7/5x^4 = 3x^3
3x^6 x 2x^5 = 6x^11
5x^4 x 2x^5 = 10x^9
Step-by-step explanation:
BRAINLIEST PLEASEEE
Answer:
x=
14x^8 /7x^4 = 2x^4
15x^7/5x^4 = 3x^3
3x^6 x 2x^5 = 6x^11
5x^4 x 2x^5 = 10x^9
Step-by-step explanation:
if the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? find the value of the test statistic. (round your answer to two decimal places.)
The test statistic is z = 0.68, and the p-value is approximately 0.2486.
This problem involves testing the hypothesis that the proportion of union workers in the population has increased from 11.5%.
Let p be the true proportion of union workers in the population.
The null hypothesis is H0: p = 0.115, and the alternative hypothesis is Ha: p > 0.115 (one-tailed test, since we are testing for an increase in union membership).
To find the test statistic, we use the formula for a z-test for proportions:
z = (\(\bar p\) - p) / \(\sqrt{(p(1-p)/n) }\)
where, \(\bar p\) is the sample proportion, n is the sample size, and sqrt denotes the square root function.
In this case, \(\bar p\) = 36/300 = 0.12, n = 300, and p = 0.115.
Substituting these values into the formula, we get:
z = (0.12 - 0.115) / \(\sqrt{(0.115(1-0.115)/300) }\)≈ 0.68
To find the p-value, we need to find the probability of getting a test statistic as extreme or more extreme than 0.68, assuming that the null hypothesis is true (i.e., assuming that p = 0.115).
Since this is a one-tailed test, we need to find the area under the standard normal curve to the right of 0.68:
p-value = P(Z > 0.68) ≈ 0.2486
Using a standard normal distribution table or a calculator, we find that the area to the right of 0.68 is approximately 0.2486.
Therefore, the p-value for the test is approximately 0.2486.
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Question: You may need to use the appropriate appendix table or technology to answer this question. An agency reports that historically 11.5% of workers in a particular country belong to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. If the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = ?
Is it possible to solve 3 equations with 4 variables?
A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.
What is linear system?A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.
Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.
The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.
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2. A ladder leans against a building forming an angle of 56 degrees with
the ground. The base of the ladder is 3 feet from the building. Find to the
nearest hundredth, the length of the ladder? *
SOMEONE HELEP ME ON 3 and 4. ASAP DUED IN 30 mins
Answer:
3 is D 4 is B
Step-by-step explanation:
Source: trust me bro
Answer:
3) A
4) B
Step-by-step explanation:
Just substitute the values given for the variables.
Use your calculator and get your answer.
find the square root of -1/9
Answer: There isn't an answer because there's an negative.
Which expression is undefined? O A. (0-12) = 6 B. 0 : 5 (3-3 OC. 7 O D. (-2+2)
An undefined equation can be one where the denominator is 0.
SO here in the option d,
\(\frac{8}{-2+2}=\frac{8}{0}\)This expression is undefined. All the other expressions can be solved.
Can someone help me?
Answer:
It's C the third answer choice
Step-by-step explanation:
I know this because since the arrow is pointing that direction the inequality arrow would too.
The reason I chose the one without the line Is because it's an open circle
Answer: x < 6
Step-by-step explanation: As you can see, the circle on the 6 is an empty circle, which means that it does not have an equal sign within it (the line thing that's under the sign) because if the circle is a full circle than it will have an equal sign within it, and if it's an empty circle than there will be no equal sign within it. And, the arrow is going to the left which means that it is a less than sign.
I need help with this equation it's confusing
3 - 4x= -89 is the equation i hope it's right
You can buy 5 cans of peas at the Town Market for $3.90. You can buy 10
You can buy 10 for $7.80
$3.90 × 2 = $7.80
Is this function continuous or discrete? How far can you get on 20 gallons? What is the domain and range of this function? How many gallons to get 500 miles? Where do the labels on the graph go?
EXPLANATION
The equation of the function can be represented as shown as follows:
\(G(m)=12m\)-This function is discrete.
-If we have 20 gallons, we can obtain the number of miles by plugging in the value into the equation, as shown as follows:
\(20=12m\)Dividing both sides by 12:
\(\frac{20}{12}=m\)Simplifying:
\(\frac{5}{3}=m\)We can make 1.67 miles with 20 gallons.
-The domain of the function are all the Real Numbers and the Range are also the Real numbers.
-Finally, drawing the graph of the function:
The points of the table are the following:
Gallons Miles
2 24
4 48
6 72
8 96
-We can get the number of gallons needed to, make 500 miles by plugging the value 500 into the equation, as shown as follows:
\(500=12m\)Isolating m:
\(\frac{500}{12}=m\)Simplifying:
\(41.7=m\)The number of gallons to make 500 miles is equal to 41.7 gallons
Finally, labeling the graph:
is this correct?
i didn’t know how to do my homework so i found the answer key but my teacher said it was wrong, what do i do?? and can someone explain it
Answer:
Step-by-step explanation:I had this in an exam and got the same as you but my teacher explained to change 4 squared 5 to 5 squared 4 i am not 100% sure as to why you have to do this but apparently that was the answer hope this helps
Answer:
yes he have a great answear
What's the y intercept of the following equation?
10y = 20x + 30
Answer:
\(10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3\)
how would you interpret an individual player’s 3P%?
Answer:
A high 3P% indicates that the player is an accurate shooter from the three-point line, making them a scoring threat and potentially creating spacing on the floor for their team.
Step-by-step explanation:
HELP ME WITH THIS FOR BRAINLIST!
Answer:
In order to do this we need to get a better picture as well as a line plot to do this on.
Step-by-step explanation:
!!PLS HELP ASAP!!30 POINTS!!
Divide using synthetic division
\(x^4-3x^3-7x+1\)÷\(x+2\)
The quotient and remainder are x³ -5x² + 10x - 17 and 55.
What is Synthetic division?
When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.
Here, (x+2) is a linear factor which indicates that synthetic division can be applied.
So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.
(refer the attached solution)
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Factor each polynomial.
3 m²-9
On factorizing the polynomial 3m²-9 we get 3(m²-3).
The factor of polynomial is defined as the process of expressing the polynomial as a product of two or more polynomials.
For Example : the factors of x²-16 are (x+4)(x-4).
In the given question we need to factor
3m²-9
here 9 can be written as 3*3
rewriting the above equation we get
3m²-3*3
As both the terms contain 3 we can take 3 common from both the terms ;
taking 3 common from each term we get ,
=3(m²-3)
Therefore , On factorizing 3m²-9 we get 3(m²-3) .
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cho tam giác abc có trọng tâm g. Gọi h là điểm đối xứng của g qua b. Cm: vtHA -5vt HB +vt HC=vt 0
PAKYOU KAHAHAHAHAHAHAHAGAGAAHAHA
write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
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A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. what is the name of the polygon?octagonhexagonheptagonquadrilateral
The name of the polygon is (B) hexagon.
What is a hexagon?A hexagon is a six-sided polygon or 6-gon in geometry. The sum of any simple (non-self-intersecting) hexagon's internal angles is 720°.To find the name of the polygon:
Let the number of sides in a polygon be n.Triangles are formed by drawing diagonals from one vertex to each of the others.Because there is no overlapping of the triangles, no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex will lie on top of the adjacent sides, so the number of diagonals from a single vertex is three less than the number of sides or n - 3, and the number of triangles is one more, or n - 2. Number of triangles = number of sides in polygon - 2 Number of triangles = n - 2 n = 4 + 2 n = 6The polygon containing 6 sides is called a hexagon.Therefore, the name of the polygon is (B) hexagon.
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The complete question is given below:
A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
A) Octagon
B) Hexagon
C) Heptagon
D) Quadrilateral
A student uses the equation tan theta= s^2/49 o represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline theta where sin theta =1/2
After finding the value of theta, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.
The equation tan(theta) = s^2/49 represents the speed, s, in feet per second, of a toy car driving around a circular track with an angle of incline, theta, where sin(theta) = 1/2.
To solve this problem, we need to use the given information about sin(theta) to find the value of theta. Since sin(theta) = 1/2, we can determine that theta is equal to 30 degrees.
Now that we know the value of theta, we can substitute it into the equation tan(theta) = s^2/49. Plugging in 30 degrees for theta, the equation becomes tan(30) = s^2/49.
The tangent of 30 degrees is equal to √3/3. So, we have √3/3 = s^2/49.
To solve for s, we can cross multiply and solve for s^2. Multiplying both sides of the equation by 49 gives us 49 * (√3/3) = s^2.
Simplifying, we get √3 * 7 = s^2, which becomes 7√3 = s^2.
To find the value of s, we take the square root of both sides. So, s = √(7√3).
Therefore, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.
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