Answers
Answer:
The squirrel runs 11 miles per hour.
Explanation:
Speed can be found from the the slope of the graph of distance over time. From this graph the easiest point to calculate this on is the two endpoints. Slope is rise/run. In this graph Y has increases by 11 miles (rise) at the point where time has increased by one hour (run). So the speed can be found with 11 miles/ 1 hour which equals 11 miles per hour.
Related Questions
your population is students who attend your local elementary school. you collect data from a random sample of 100 students. if you calculate the mean age for the sample of students, the mean you calculated is ?
Answers
To answer your question, you need to calculate the mean age of a random sample of 100 students from the population of students attending your local elementary school.
Here's a step-by-step explanation:
1. Define the population: Students attending your local elementary school.
2. Obtain a random sample: Select 100 students randomly from the population.
3. Collect data: Record the ages of each student in the sample.
4. Calculate the mean age: Add up the ages of all 100 students and divide by the number of students in the sample (100).
The mean age you calculated for this random sample of 100 students will represent an estimate of the average age for the entire population of students attending the local elementary school. However, without the actual age data, I cannot provide you with the specific mean age value.
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The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answers
Answer:
x=20
Step-by-step explanation:
76+44+3x=180
120+3x=180
-120 -120
3x=60
60/3=20
20(3)+120=180
Triangles add up to 180.
Hope this helps! :)
Find the equation that results from completing the square in the following equation
Answers
we have the equation
\(x^2+12x-85=0\)step 1
Group similar terms and move the constant term to the right
\((x^2+12x)=85\)step 2
Complete the square
\(\begin{gathered} (x^2+12x+6^2-6^2)=85 \\ (x^2+12x+6^2)=85+6^2 \\ (x^2+12x+6^2)=121 \end{gathered}\)step 3
Rewrite as perfect squares
\((x+6)^2=121\)A traffic helicopter descends 153 meters to be 445 meters above the ground, as illustrated in the
diagram to the right. Write an equation to describe the situation using h as the original height of the
helicopter. What was the original height of the helicopter?
Answers
The equation to represent the situation is written as 455 = h - 153
Data;
distance above ground = 445mdistance travelled = 153mEquation to represent the situationThe equation to represent this situation can simply be written with respect to h which is the original height.
\(445 = h - 153\)
We can further solve for h to determine the original height of the helicopter before it began descent.
The equation to represent the situation is written as 455 = h - 153
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Find the area of this circle. Use 3 for pi please
Answers
Answer:
108 cm²
Step-by-step explanation:
A = πr²
A = 3 * 6²
A = 3 * 36
A = 108
If my answer is incorrect, pls correct me!
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Please Help!!! (i'll give the best answer brainliest)
Answers
What is the equation of this graphed line?
A graph with a line running through coordinates (-6, -3) and coordinates (6, -7)
Answers
Answer:
y = -1/3x - 5
Step-by-step explanation:
Use rise over run to find the slope: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-7 + 3) / (6 + 6)
-4 / 12
= -1/3
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
-3 = -1/3(-6) + b
-3 = 2 + b
-5 = b
Plug in the slope and b into y = mx + b
y = -1/3x - 5 is the equation of the line
Convert the improper fraction to a mixed number and simplify to its lowest 8/3=2. /3
\( \frac{8}{3} = 2 \times \frac{?}{3} \)
Answers
Answer:
8/3 = 2 x 4/3
Step-by-step explanation:
Suppose that some consumer's preference, using a Cobb-Douglas utility function U, where U: U(b, c) =b ^50 c^50 . Assuming that the consumer is able to buy $84 on two goods, b and c, where P b =6, and Pc = 7 1. Find the most - preferred, affordable bundle 2. Define the income expansion point 2. Consumer preferences are characterized axiomatically. These axioms of consumer choice give formal mathematical expression to fundamental aspects of consumer behavior and attitudes towards the objects of choice. Explain the axioms of consumer choice and present them in terms of binary relations.
Answers
The most-preferred, affordable bundle can be found by maximizing the utility function subject to the budget constraint.
How can we find the most-preferred, affordable bundle?To find the most-preferred, affordable bundle, we need to maximize the utility function U(b, c) = b^50 * c^50 subject to the budget constraint. The budget constraint can be expressed as P_b * b + P_c * c = I, where P_b and P_c are the prices of goods b and c respectively, and I is the consumer's income.
In this case, P_b = 6, P_c = 7, and the consumer's income is $84. We can substitute these values into the budget constraint and rearrange it to solve for one variable in terms of the other. For example, we can solve for b in terms of c or vice versa.
Once we have the relationship between b and c, we can substitute it into the utility function and maximize it to find the combination of b and c that gives the highest utility. This will give us the most-preferred bundle that is affordable.
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Jonathan makes $15 per hour going to people's houses to fix their computers. He also charges a $25 fee for taking a trip out to their residence. Recently, Jonathan returned from a job where he made $115. How many hours was he there? Create linear equation, solve and circle your answer.
Show Your Work
2. Write an equation
Solve
Answers
Answer: He worked for 6 hours.
Step-by-step explanation:
Equation: y=15x+25
Plug in $115 for y and solve:
115=15x+25
-25 both sides
90=15x
x=6 hours
-15 -15
25x=100
/25 25
X=4 hours
Find the value of x in the triangle shown below.
x = ___°
Answers
2 divided by 5/12= what
Answers
Answer:
4.8
Step-by-step explanation:
2 ÷ 5/12 = 4.8
Make sure to use a calculator or solve on a piece of paper. :)
find the angles between the planes in exercises 47 and 48. 47. x y = 1, 2x y - 2z = 2
Answers
47.) The angle between the plane is 0 degrees.
48.) The angle between the plane is 180 degrees.
What is the angle between the plane?
To find the angle between two planes, we need to find the normal vectors of each plane and then find the cosine of the angle between the normal vectors using the dot product.
First, let's find the normal vectors for the two planes:
Plane 1: x + y = 1
The normal vector for this plane can be found by taking the coefficients of x, y, and z and forming a vector:
n1 = ⟨1, 1, 0⟩
Plane 2: 2x + y - 2z = 2
The normal vector for this plane can be found in the same way:
n2 = ⟨2, 1, -2⟩
Next, we will find the cosine of the angle between the normal vectors using the dot product:
cosθ = (n1 • n2) / (|n1| * |n2|)
where |n1| and |n2| are the magnitudes of the normal vectors.
Calculating the dot product and magnitudes:
n1 • n2 = 1 * 2 + 1 * 1 + 0 * -2 = 3
|n1| = sqrt(1^2 + 1^2 + 0^2) = sqrt(2)
|n2| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9)
Substituting into the formula:
cosθ = 3 / (sqrt(2) * sqrt(9)) = 3 / (3) = 1
Since cosθ = 1, θ = 0, so the angle between the two planes is 0 degrees or a coincident plane.
Next, let's find the normal vectors for the two planes:
Plane 1: 5x + y - z = 10
The normal vector for this plane can be found by taking the coefficients of x, y, and z and forming a vector:
n1 = ⟨5, 1, -1⟩
Plane 2: x - 2y + 3z = -1
The normal vector for this plane can be found in the same way:
n2 = ⟨1, -2, 3⟩
Next, we will find the cosine of the angle between the normal vectors using the dot product:
cosθ = (n1 • n2) / (|n1| * |n2|)
Calculating the dot product and magnitudes:
n1 • n2 = 5 * 1 + 1 * (-2) + -1 * 3 = -3
|n1| = sqrt(5^2 + 1^2 + (-1)^2) = sqrt(27)
|n2| = sqrt(1^2 + (-2)^2 + 3^2) = sqrt(14)
Substituting into the formula:
cosθ = -3 / (sqrt(27) * sqrt(14)) = -3 / (3 * sqrt(2)) = -sqrt(2) / sqrt(2) = -1
Since cosθ = -1, θ = 180 degrees, so the angle between the two planes is 180 degrees, or perpendicular.
Hence,
47.) The angle between the plane is 0 degrees.
48.) The angle between the plane is 180 degrees.
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What are the center and radius of the equation (x-2)^2 + (y-9)^2 = 36?
Answers
Answer:
center (2, 9); radius 6
Step-by-step explanation:
Standard equation of a circle:
(x - h)² + (y - k)² = r²
where the center is (h, k), and r is the radius.
You have
(x - 2)² + (y - 9)² = 36
(x - 2)² + (y - 9)² = 6²
Compare this last form to
(x - h)² + (y - k)² = r²
h = 2; k = 9; r = 9
Answer: center (2, 9); radius 6
Answer:
centre = (2, 9 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
(x - 2)² + (y = 9)² = 36 ← is in standard form
with centre (2, 9 ) and r² = 36 ⇒ r = \(\sqrt{36}\) = 6
Pls help will give 10 pts
Answers
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
The p-value for a test of significance is 0.041. Which is the correct interpretation of this number?
a. If the study that was used to collect the data were to be repeated 100 times, then we would obtain data similar to the data collected in about 4 of the studies if the null hypothesis is true. b. The probability that the null hypothesis is true is 4.1% c. The probability that the alternative hypothesis is true is about 96%. d. If the alternative hypothesis is true then the chances of obtaining data like the observed data is 4.1% e. This p-value is less than 5% therefore the alternative hypothesis must be true.
Answers
The correct interpretation of a p-value of 0.041 is option a: If the study that was used to collect the data were to be repeated 100 times, then we would obtain data similar to the data collected in about 4 of the studies if the null hypothesis is true.
The p-value is a measure of the evidence against the null hypothesis in a statistical hypothesis test. It represents the probability of obtaining results as extreme as, or more extreme than, the observed data, assuming that the null hypothesis is true.
In this case, a p-value of 0.041 means that if the null hypothesis is true, and the study were to be repeated 100 times, we would expect to obtain data similar to the observed data in about 4 of those studies. It indicates that the observed data is somewhat unlikely under the assumption of the null hypothesis.
It's important to note that the p-value does not directly provide information about the probability that the null hypothesis or the alternative hypothesis is true. It simply measures the strength of evidence against the null hypothesis based on the observed data.
Therefore, the correct interpretation is that if the study were repeated 100 times, we would expect to see data similar to the observed data in about 4 of those studies, assuming the null hypothesis is true.
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A lock has 3 digits and can have any number from 0-9 how many combinations are there
Answers
Ten choices for the first digit, 10 for the second, 10 for the third,
10 × 10 × 10 = 1000 combinations
Answer: 1000
(c) prove that for any positive integer n, 4 evenly divides 11n - 7n.
Answers
By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.
WHat is Divisibility?
Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3
To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.
Base Case:
When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.
Inductive Step:
Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.
We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.
Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.
By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.
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Please answer this question
Answers
what is this answer 9x2000
Answers
just use a calculator bro
Answer:
18,000
Step-by-step explanation:
Use the information from the article to answer the question.
Dwarf Planet
Which statements apply to the orbits of dwarf planets? Check all that apply.
Dwarf planets orbit the Sun.
Pluto could collide with Jupiter.
Dwarf planets are round.
Pluto is a dwarf planet.
Eris could collide with Uranus (SCIENCE)
Answers
Answer:
Drawf planets orbit the Sun.
Dwarf planets are round.
Pluto is a dwarf planet.
Answer:a,c,d
Step-by-step explanation:
edge 2023
can someone help will mark brainliest
Answers
Answer:
$60
Step-by-step explanation:
x - 15 = 45
x = 15 + 45
x = 60
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
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Answer:
45+15= 60
$60 is how much the original value was.
Hope this helped!
A one year gym membership costs $160. A registration fee of $28 is paid up front and the rest is paid monthly. Adding the variable. Let x =
Answers
Answer:
here's an example to help you out man Let n = how much each new member must pay each month.
$160 - $28 = $132
n = $132 ÷ 12 months in a year
n = $11
You can also look at it this way:
n = (160 - 28)/12
How are conflicts typically resolved in sci-fi, movies, and books?
I'LL GIVE A STAR TO WHOMEVER HAS THE BEST ANSWER !! PLS DO NOT LINK SITES, I NEED THE ANSWER PLEASE, SO ONLY COMMENT IF YOU ACTUALLY HAVE A VALID ANSWER.
Answers
Conflicts can be resolved in a variety of ways, including negotiation, mediation, arbitration, and litigation. Negotiation. ... By brainstorming options and looking for tradeoffs across issues, you may be able to negotiate a satisfactory outcome to your dispute without the aid of outside parties.
Step-by-step explanation:
I think this is right
The rates of change of two data sets can be compared by finding:
the initial values.
ООО
the slope of each trend line.
how close the points are to the line.
the y-intercepts.
Answers
Answer:
the slope of each trend line
Step-by-step explanation:
The rate of change of the variables (dependent and independent) in the linear model is given by the slope or gradient of the regression model usually represented as :
y = bx + c ; where b is the slope and gives the change in y per change in the value of x.
Hence, when intending to find the rate of change of different Datasets, the slope of the trend line corresponding to each dataset is compared in other to determine the identify the differences in the rate of change of each dataset.
Answer:
b
Step-by-step explanation:
Find the area of the rectangle below:
b = 5
h=3
A =
h
b
Answers
Answer:15
Step-by-step explanation: base * height= area/15
Answer:
a= 15
Step-by-step explanation:
A=wl=3·5=15
hope this helps
Use the distributive property to write an expression that is equivalent to 1/2 (8y + (-x) + 12)
Answers
Algebra
\( \frac{1}{2} (8y - x + 12) = a\)
Divide everything by two, or times everything by 1/2.
\(4y - \frac{1}{2} x + 6 = a\)
This is as far as you could go due to no like-terms.
Find the mean median and mode for 44, 4, 27, 5
Answers
Answer:
Mean: 20
Median: 16
Mode: No mode
Step-by-step explanation:
For the mean:
44 + 4 + 27 + 5 = 80
80/4 = 20
For the median:
5 + 27 = 32
32/2 = 16
For the mode:
None of the numbers are repeated.
Select the correct answer.
Which is the correct solution to the expression 3 + 5^2? You can use a calculator to find the answer.
A.
10
B.
13
C.
28
D.
64
Answers
Answer:
Step-by-step explanation:
C. 28
5 raised to 2nd power is 25 so 25+3=28
true or false: a test score that is valid is reliable, but a test score that is reliable is not necessarily valid.
Answers
Answer:
True, because is it is valid, it means it is true, and in turn, it is reliable source, while if it's simply reliable, that does not necessary mean it's valid.