Answers
Answer:4v-6
Step-by-step explanation:
the formula to find the perimeter of a rectangle is p=2length + 2width
so the length of the given rectangle is 2
and the width is 2v-5
so p=2length +2 width
p=2(2)+2(2v-5)
p=4+4v-10
p=4v-6
Related Questions
will give brainliest! number 4 it’s the pythagorean theorem
Answers
Help me please.. :) :) :) :) :) :)
Answers
Answer:
Reflection Waves(i think)
Step-by-step explanation:
When light bounces off something then that is reflection and music travels in sound waves so I would say waves.
Question 5 of 10
Choose the symbol that correctly compares the fracti-
-IN
113
1/2 1/2
A. >
B. =
C.
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Please help as Slope is very difficult for me-
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I don't know I just need to answer this so I can get through the login-
A population of mold decays at a rate of 25 mold spores per day. Assume that the initial population of mold spores is 1640 spores.Step 2 of 2 : How many days will it take for the population to be less than 350 mold spores? Round your answer up to the nearest whole number.
Answers
The rate of decay of the mold population is 25 mold spores per day or 25%.
The initial mold population is assumed to be 1640 spores.
The formula for exponential decay is;
\(f(x)=a(1-r)^x\)Where the variables are;
\(\begin{gathered} r=0.25 \\ a=1640 \\ x=Number\text{ of days} \end{gathered}\)We can substitute into the formula and we'll have;
\(f(x)=1640(1-0.25)^x\)For the population of spores to be 350 mold spores, the equation would now become;
\(\begin{gathered} 350=1640(1-0.25)^x \\ 350=1640(0.75)^x \\ \text{Divide both sides by 1640;} \\ \frac{350}{1640}=\frac{1640(0.75)^x}{1640} \\ 0.2134=0.75^x \end{gathered}\)At this point we shall apply the exponent rule;
\(\begin{gathered} f(x)=g(x) \\ \text{Then,} \\ \ln (f(x))\ln (g(x)) \end{gathered}\)Hence;
\(\ln (0.2134)=\ln (0.75^x)^{}\)Next we apply the log rule;
\(\log _bx^a=a\log _bx\)We now re-write our equation as;
\(\begin{gathered} \ln (0.2134)=x\ln (0.75) \\ x=\frac{\ln (0.2134)}{\ln (0.75)} \end{gathered}\)By use of a calculator, the value of x now becomes;
\(\begin{gathered} x=5.36907 \\ \text{Rounded to the nearest whole number,} \\ x=5 \end{gathered}\)That means it would take approximately 5 days for the mold population to reach 350 spores.
Hence, for the population to be less than 350 would take a
Obtuse triangle. Step 1: Suppose angle A is the largest angle of an obtuse triangle. Why is cosA negative? Step 2: Consider the law of cosines expression for a 2and show that a 2>b2+c2Step 3: Use Step 2 to show that a>b and a>c Step 4: Use Step 3 to explain what triangle ABC satisfies A=103 ∘,a=25, and c=30
Answers
CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.
Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.
Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.
Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.
Therefore, the largest angle of an obtuse triangle is opposite the longest side.
Step 4: In triangle ABC, A=103°, a=25, and c=30.
a² = b² + c² - 2bccos(A),
a² = b² + 900 - 900 cos(103),
a² = b² + 900 + 900 cos(77),
a² > b² + 900, so a > b.
Similarly, a² > c² + 900, so a > c.
Therefore, triangle ABC satisfies a>b and a>c.
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what is the value of the t score for a 95% confidence interval if we take a sample of size 17?
Answers
The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The confidence interval = 95%
And, Size of sample = 17
Now,
Since, The confidence interval = 95%
And, Size of sample (n) = 17
Hence, The degree of freedom (n - 1) = 16
Thus, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.
Therefore, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.
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HELP ASAP!!! find the lines of symmetry. Select all that apply
Answers
Answer:
B. and D.
Step-by-step explanation:
If you folded that shape along the lines o and m, it would match up.
There are two lines of symmetry m and o. Options B and D are correct.
From the given figure we have to determine the axes of symmetries.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
As of the given figure,
There are 2 axes of symmetry first line m and the other is line o.
Line l and line n are not symmetrical lines because the reflection of one portion will not be superimposed with the other.
Thus, there are two lines of symmetry m and o. Options B and D are correct.
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In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011
Answers
Answer:
90 students
Step-by-step explanation:
So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.
Answer:
hello
2010 = 100 students
2011 = 100 x 0.9 = 90
2012 = 90 x 1.1 = 99
Step-by-step explanation:
Please help please help me please help me
Answers
The angle a and b are supplementary and linear pair angles.
What is a supplementary angle?Two Angles are Supplementary when they add up to 180 degrees.
In other words, Supplementary angles are two angles whose measures add up to 180°.
Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
Therefore, the angle a and b are supplementary and linear pair angles.
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Two people start from the same point. One bicycles west at 12 mi/h and the other jogs south at 5 mi/h. How fast is the distance between the prople changing three hours after they leave their starting point?
Answers
Three hours after they leave their starting point, the rate at which the distance between the two people is changing is 13 mi/h.
What is Distance?Distance is the actual path traveled by a moving particle in a given time interval. It is a scalar quantity.
To find the rate at which the distance between the two people is changing, we can use the concept of relative velocity. The relative velocity is the vector difference of the velocities of the two individuals.
Given that one person is moving west at 12 mi/h and the other is moving south at 5 mi/h, we can represent their velocities as:
Velocity of the person cycling west: v₁ = -12i (mi/h)
Velocity of the person jogging south: v₂ = -5j (mi/h)
Note that the negative sign indicates the direction opposite to their motion.
The distance between the two people can be represented as a vector from the starting point. Let's denote the distance vector as r = xi + yj, where x represents the displacement in the west direction and y represents the displacement in the south direction.
To find the rate of change of the distance between the two people, we differentiate the distance vector with respect to time (t):
dr/dt = (d/dt)(xi + yj)
Since the people start from the same point, the position vector at any time t can be expressed as r = xi + yj.
Differentiating with respect to time, we have:
dr/dt = (dx/dt)i + (dy/dt)j
The velocity vectors v₁ and v₂ represent the rates of change of x and y, respectively. Therefore, we have:
dr/dt = v₁+ v₂
Substituting the given velocities:
dr/dt = -12i - 5j
Now, we can find the magnitude of the rate of change of the distance vector:
|dr/dt| = |v₁+ v₂|
|dr/dt| = |-12i - 5j|
The magnitude of the velocity vector dr/dt is given by:
|dr/dt| = √((-12)² + (-5)²)
|dr/dt| = √(144 + 25)
|dr/dt| = √(169)
|dr/dt| = 13 mi/h
Therefore, three hours after they leave their starting point, the rate at which the distance between the two people is changing is 13 mi/h.
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describe what the terms interposition and nullification mean and how the terms differ from each other.
Answers
Interposition refers to the belief that a state has the right to intervene between the federal government and its citizens to protect them from unconstitutional laws, while nullification is the belief that a state has the power to declare federal laws null and void within its borders.
Interposition and nullification are two theories of state sovereignty that were debated during the early years of the United States. Interposition refers to the belief that a state has the right to interpose itself between the federal government and its citizens to protect them from unconstitutional laws.
On the other hand, nullification is the belief that a state has the power to declare federal laws null and void within its borders. The main difference between interposition and nullification is the extent of state power they propose.
Interposition allows a state to protect its citizens from unconstitutional federal laws, while nullification allows a state to effectively veto a federal law within its borders. While interposition has been recognized as a legitimate theory of state sovereignty.
Nullification has been largely discredited and is not recognized as a valid legal doctrine under the U.S. Constitution.
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Which calculation can be used to find the value of y in the equation y3 = 27?
Answers
Answer:3 and multiplication
Step-by-step explanation: 3 times 9 equals 27.
pls help answer thanks
Answers
Answer:
upper right corner
Step-by-step explanation:
just let x=0
then you know y>1
so those in left is wrong
and it's> not >=
y isn't equal to 1 so bottom right corner is wrong
L(h)=42-3.5h
the number of loaves of bread remaining in a restaurant h hours after opening for the day can be modeled by this function
Answers
The domain of the given function problem is: 0 ≤ h ≤ 12
How to find the domain of the function?The domain of a function is defined as the set of all possible input values for which the function exists.
Meanwhile, the range of a function is defined as the set of all possible output for the possible domain values.
We are given the function as:
L(h) = 42 - 3.5h
where h is the number of hours after opening for the day.
L(h) is the number of loaves of bread remaining in a restaurant h hours after opening for the day
Thus, maximum that can be left is 0.
Thus:
Max domain:
42 - 3.5h = 0
3.5h = 42
h = 12
Thus, domain is:
0 ≤ h ≤ 12
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Complete question is:
The number of loaves of bread remaining in a restaurant h hours after opening for the day can be modeled by this function.
L(h) = 42 - 3.5h
What is the domain of the function?
Matt is going to see a hockey game. His ticket cost $25 plus he will pay $3 per food or drink item that he buys from the concession while there. Write an equation to determine Matt's total cost for the night.
Answers
Answer: 25+3x
Step-by-step explanation:
His ticket costs $25
Then you add the total cost of the food or drinks, but since you only know the cost but not the amount, x=the amout of items he buys
So x(3) is basically saying $3 + all our food
chegg a 12 ft ladder is leaning against a wall. if the top of the ladder slides down the wall at a rate of 4 ft/s, how fast (in ft/s) is the bottom moving along the ground when the bottom of the ladder is 6 ft from the wall?
Answers
The bottom is moving at a rate of \(4\sqrt{3}\) ft/s along the ground when the botton of the ladder is at a distance of 6 ft from the wall.
Here we have been mentioned that a 12 feet ladder is leaning against the wall which is represened by AC in the below given triangle.
We have AB = y = distance of top of the ladder from the wall
BC = x = distance of bottom of the ladder from the wall
AC = z = height of the ladder = 12 ft (given)
The top of the ladder AB is sliding down at a rate of 4 \(ft/s\)
∴ \(\frac{dy}{dt}\) = - 4 ft/s (negative sign indicates that the top is sliding downwards)
Let the rate at which the bottom of the ladder is sliding be \(\frac{dx}{dt}\)
Now in the right angled triangle \(ABC\) by using Pythagoras theorem we have,
\(AB^{2} + BC^{2} =\)\(AC^{2}\)
\(y^{2} +x^{2} = z^{2}\) (equation 1)
When x = 6ft and z = 12 ft,
\(y^{2} +6^{2} = 12^{2}\)
⇒ \(y^{2} = 144 - 36\)
⇒ \(y^{2} = 108\)
⇒ y = √108
⇒ y = 6 √3 ft
Differentiating equation 1 with respect to \(time\) we get,
\(\frac{d}{dt} (y^{2} +x^{2} ) = \frac{d}{dt} (z^{2})\)
⇒ 2y\(\frac{dy}{dt}\) + 2x\(\frac{dx}{dt}\) = 2z\(\frac{dz}{dt}\)
Putting the values of dz/dt = 0 (as the height is constant) , dy/dt = - 4 ft/s , y = 6 √3 ft, x = 6ft and z = 12ft we have,
∴ 2(6√3) (-4) + 2(6)\(\frac{dx}{dt}\) = 2(12)(0)
⇒ -48√3 + 12\(\frac{dx}{dt}\) = 0
⇒ 12\(\frac{dx}{dt}\) = 48√3
⇒ \(\frac{dx}{dt} = \frac{48\sqrt{3} }{12}\)
⇒ \(\frac{dx}{dt} = 4\sqrt{3}\) ft/s
Hence the rate at which the bottom of the ladder is sliding is \(\frac{dx}{dt} = 4\sqrt{3}\) ft\s
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as you consider the various factors involved in starting a group, what is the most important factor you have to judge?
Answers
As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.
Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.
Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.
Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.
Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.
Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.
By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.
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3356789478÷1111222337448
Answers
Solve;
\(\begin{gathered} \frac{2}{3}+\frac{4}{9} \\ We\text{ first of all take the LCM of both denominators 3 and 9} \\ \text{The LCM is 9, therefore we now have,} \\ \frac{6}{9}+\frac{4}{9} \\ =\frac{6+4}{9} \\ =\frac{10}{9} \end{gathered}\)The correct answer is option B, and that is 10/9
When computing the degrees of freedom for ANOVA, how is the between-group estimate calculated?
a. (n - 1)/k
b. n - 1
c. k - 1
d. N - k
Answers
The option that follows is c .
The between-group estimate for calculating the degrees of freedom in ANOVA is calculated using the formula k - 1, where k represents the number of groups or treatments being compared.
This estimate represents the variability between the group means and is used in the F-ratio calculation to determine if the differences between the groups are significant.
When conducting ANOVA, the between-group estimate is an important factor in determining the degrees of freedom. This estimate represents the variability between the group means and is used to calculate the F-ratio, which determines if the differences between the groups are significant. The between-group estimate is calculated using the formula k - 1, where k represents the number of groups being compared. This formula is used because the estimate is based on the number of independent sources of variation between the groups. By accurately calculating the degrees of freedom, researchers can determine if the differences between the groups are statistically significant.
The between-group estimate for calculating the degrees of freedom in ANOVA is crucial for determining the statistical significance of differences between groups. It is calculated using the formula k - 1, where k represents the number of groups being compared. This estimate represents the variability between the group means and is used in the F-ratio calculation. Accurately calculating the degrees of freedom is essential in conducting valid ANOVA analyses.
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Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answers
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
Please helppppimalmost done with homework!!!!
Answers
The value of the given expression will be 3√5.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression c² = 45 will be solved as below:-
c² = 45
Take the square root of the number 45.
c = √45
c = √ 9 x √5
c = 3√5
Therefore, the value of the given expression will be 3√5.
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Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%
Answers
Answer:
Amount of simple interest in three year = 750
Step-by-step explanation:
Given:
Amount invested = 5,000
Number of year = 3 year
Rate of interest = 5% Annually
Find:
Amount of simple interest in three year
Computation:
Simple interest = (P){R)(T)
Amount of simple interest in three year = (5,000)(3)(5%)
Amount of simple interest in three year = (5,000)(3)(0.05)
Amount of simple interest in three year = (5,000)(0.15)
Amount of simple interest in three year = 750
What is the solution of x/3 - 5=4? Justify each step.
Answers
Answer: x=27
Step-by-step explanation: hope this helps!
Miss Niger is an auto mechanic I live auto body shop in Spanaway they charge a diagnostic fee of $40 prior to working on cars in order to find the issues with their customers cars then she then charges $25 per hour to fix the cars let X represent the hours spent working on cars and Y represent the total cost of fixing the car select an equation that best represents the suit leisurI'll
Answers
Answer:
Its C I just did this
Step-by-step explanation
Consider the following system of equations.
[y-6x²+1
y=x²+4
Which statement describes why the system has two solutions?
Each graph has one y-intercept, which is a solution.
Each graph has one vertex, which is a solution.
The graphs of the equations intersect the x-axis at two places.
O The graphs of the equations intersect each other at two places.
Answers
The correct statement is: "The graphs of the equations intersect each other at two places."
The statement that describes why the system has two solutions is: "The graphs of the equations intersect each other at two places."
In the given system of equations, we have two equations: y = 6x² + 1 and y = x² + 4. To find the solutions of the system, we need to find the points where the graphs of these equations intersect.
The first equation, y = 6x² + 1, represents a parabola that opens upward and has its vertex at the point (0, 1). The second equation, y = x² + 4, also represents a parabola but with its vertex at the point (0, 4).
Since the two parabolas have different vertex points, they intersect each other at two distinct points. These points of intersection are the solutions to the system of equations.
Therefore, the correct statement is: "The graphs of the equations intersect each other at two places."
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Find the median of the first 13 natural numbers
Answers
Answer
116.4k+ views
Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Complete step-by-step answer:
We have to find the arithmetic mean of first ten odd natural numbers .
Natural numbers are counting numbers and starts from 1.
Odd numbers are not multiples of 2.
The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.
Arithmetic mean is calculated by adding all the observations by the total number of observations.
Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Therefore, we will calculate the sum of the first ten odd natural numbers.
⇒1+3+5+7+9+11+13+15+17+19⇒100
Now, we will divide this by 10 as there are a total 10 numbers.
10010=10
Hence, the arithmetic mean of first ten odd natural numbers is 10.
Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2
Use mathematical induction to prove that the alternating sum of n numbers is 1−2+3−⋯+ n = n+1 / 2 for odd n and 1−2+3−⋯−n= − n / 2 for even n. 2. Use mathematical induction to prove that the sum the first n odd numbers is 1+3+5+⋯+(2n−1)=n ^2
.
Answers
1. By mathematical induction, we have proved that the alternating sum of n numbers is 1−2+3−⋯+ n = n+1/2 for odd n and 1−2+3−⋯−n= −n/2 for even n.
2. By mathematical induction, we have proved that the sum of the first n odd numbers is\(1+3+5+⋯+(2n−1)=n ^2\)
1. Proof by Mathematical Induction:
First, let's prove the statement for odd n:
Base Case: For n = 1, we have 1 = 1 + 1/2. So, the statement holds true for n = 1.
Assume that the statement holds true for some odd value k, i.e., 1−2+3−⋯+ k = (k+1)/2.
We need to prove that it also holds true for k + 2.
We have to show that 1−2+3−⋯+ k + (k + 1) = (k + 2)/2.
Starting with the left side of the equation:
1−2+3−⋯+ k + (k + 1) = [(k + 1)/2] + (k + 1)
= [(k + 1) + 2(k + 1)]/2
= (3k + 3)/2
= (k + 2)/2
Thus, the statement holds true for odd n.
Now let's prove the statement for even n:
Base Case: For n = 2, we have 1−2 = -2 = -2/2. So, the statement holds true for n = 2.
Assume that the statement holds true for some even value k, i.e., 1−2+3−⋯−k = -k/2.
We need to prove that it also holds true for k + 2.
We have to show that 1−2+3−⋯−k − (k + 1) = -(k + 2)/2.
Starting with the left side of the equation:
1−2+3−⋯−k − (k + 1) = -[k/2] - (k + 1)
= -(k/2) - (2k + 2)/2
= -(3k + 2)/2
= -(k + 2)/2
Thus, the statement holds true for even n.
Therefore, by mathematical induction, we have proved that the alternating sum of n numbers is 1−2+3−⋯+ n = n+1/2 for odd n and 1−2+3−⋯−n= −n/2 for even n.
2. Proof by Mathematical Induction:
Base Case: For n = 1, we have 1 = 1^2. So, the statement holds true for n = 1.
Inductive Step: Assume that the statement holds true for some positive integer k, i.e.,\(1+3+5+⋯+(2k−1) = k^2.\)
We need to prove that it also holds true for k + 1.
We have to show that 1+3+5+⋯+(2k−1)+(2(k+1)−1) = (k + 1)^2.
Starting with the left side of the equation:
1+3+5+⋯+(2k−1)+(2(k+1)−1) = \(k^2 + (2(k+1)−1)\)
\(= k^2 + 2k + 2 - 1\)
\(= k^2 + 2k + 1\)
\(= (k + 1)^2\)
Thus, the statement holds true for k + 1.
Therefore, by mathematical induction, we have proved that the sum of the first n odd numbers is\(1+3+5+⋯+(2n−1)=n ^2\).
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What is m CD ?
Plzz help
Answers
Given:
Arc(AB) = 78 degrees
Measure of angle CMD = 106 degrees
To find:
The measure of arc CD.
Solution:
Secant intersection theorem: If two secant of a circle intersect each other inside the circle, then the intersection angle is the average of intercepted arcs.
Using secant intersection theorem, we get
\(m\angle CMD=\dfrac{1}{2}(Arc(AB)+Arc(CD))\)
\(106^\circ=\dfrac{1}{2}(78^\circ+Arc(CD))\)
Multiply both sides by 2.
\(212^\circ=78^\circ+Arc(CD)\)
\(212^\circ-78^\circ=Arc(CD)\)
\(134^\circ=Arc(CD)\)
Therefore, the measure of arc CD is 134 degrees and the correct option is C.
What method of assigning probabilities to a simple event uses relative frequencies?
Answers
The empirical method is the right answer.
Empirical probability is calculated by dividing the number of times an event was seen in your data by the entire sample size. An event's relative frequency is strongly connected to an empirical probability, also known as an experimental probability.
Empirical probability bases its estimation of the likelihood that a specific result will recur on the number of instances of that outcome within a sample set. In short, the empirical method uses relative frequencies to determine probabilities.
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