Jack ran a total of 30 miles over the course of 15 track practices. How many track practices would it take for Jack to run 44 miles? Solve using unit rates.
My brain isn’t functioning and i need this done before December 21.
Answer:
22
Step-by-step explanation:
Use a proportion.
30/15 = 44/x
30x = 15 × 44
2x = 44
x = 22
Answer:
22
Step-by-step explanation:
30 miles/ 15 sessions of tract practice
Per practice Jack is running a total of 2 miles.
So 44 miles/2 miles
22 sessions of track practice
If F, G, and H are the midpoints of the sides of AJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=
For the given, F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.
As given in the question,
F, G, and H are the midpoints of the sides of ΔJKL.
F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL
Measure of the required sides are as follow:
FH = (KL / 2) (by midpoint theorem)
= (48/2)
= 24
JL = 2 x FG (by midpoint theorem)
= 2 x 37
= 74
KJ = 2 x GH (by midpoint theorem)
= 2 x 30
= 60
FJ = GH = 30 (by midpoint theorem)
Therefore, for the given, F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.
The complete question is:
If F, G, and H are the midpoints of the sides KJ, KL, and JL respectively of ΔJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=
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consider an undirected graph that has 100 vertices. for any pair of vertices, only 1 edge can connect them. in other words, you cannot have 2 edges connecting vertex a directly to vertex b. also assume that there are no self-loops, i.e. an edge that goes from vertex a to vertex a. what is the maximum number of edges that can be in this specific graph?
So the maximum number of edges in an undirected graph with 100 vertices is 4950.
In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.
In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:
n * (n-1) / 2
Substituting n = 100, we get:
100 * 99 / 2 = 4950
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it takes 50 pennies to fill a roll. and how many are in 8 rolls
Answer:
250 pennies
Step-by-step explanation:
50 x 8 = 250
What is the answer?❤️
Answer:
a=4 B i think is =20 c im not sure
Step-by-step explanation:
A large multiplex movie house has many theaters. The largest theater has 41 rows. There are 19 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in this theater?
Answer:
101
Step-by-step explanation:
I time 41x2 than add 19
A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1840 ft tall?
The height of the building in the scale drawing will be in (Simplify your answer.)
Answer:
1840÷230×1
Step-by-step explanation:
Divide 1840ft by 230ft= then take the answer from that and multiply it by 1inch and you should have your answer
Which of the following expressions are equivalent to 1 1/2. Select all that apply.
Answer:
1 2/4, 1 3/6 ,1 4/8, 1 5/10, 1 6/12 I can't see the answer choices but here are things that 1 1/2 will equal
Step-by-step explanation:
please help.. these are the answer choices: 2 0 6 -4
Answer:
2
Step-by-step explanation:
First replace x with -1
f(-1)=2+(-1)
f(-1)=1
Now plug in 1
g(1)=3-1
3-1=2
Determine whether each relation represents a function. If it is a function, state the domain and range. a) {(1,4),(2,5),(3,6),(4,7)} b) {(−3,9),(−2,4),(0,0),(1,1),(−3,8)}
a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function. Domain: {1,2,3,4}. Range: {4,5,6,7}.b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function due to multiple outputs for input -3.
a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function because each input value (x) has a unique output value (y). The domain of the function is {1,2,3,4}, which includes all the x-values. The range is {4,5,6,7}, which includes all the corresponding y-values. In this case, for each x-value, there is only one y-value associated with it.
b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function because the input value -3 is associated with two different output values, 9 and 8. In a function, each input value should have a unique output value, but in this case, the input -3 has two different outputs, violating the definition of a function.Therefore, the relation in (a) represents a function with a defined domain and range, while the relation in (b) does not represent a function due to the presence of multiple outputs for a single input.
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whats the answer?? I cant seem to get it.
Answer: 326.56
Step-by-step explanation: The simplified formula for the surface area of a cylinder is \(2\pi r(r+h)\). Solving this, you get 25.12 * 13, which equals 326.56
Answer:
326.56 cm^2
Step-by-step explanation:
A = 2pirh + 2pir^2
A = 2(3.14)(4)(9) + 2(3.14)(4^2)
A = 226.08 + 100.48
A = 326.56 cm^2
Make sure that units are the same before solving
find the maximum of startabsolutevalue y (t )endabsolutevalue for minus infinityless thantless thaninfinity.
The maximum of |y(t)| for -∞ < t < ∞ is 3.
To verify that y = sin(4t) + 3cos(4t) is a solution to the initial value problem 3y’’ + 48y = 0; y(0) = 3, y’(0) = 4, we need to take the first and second derivatives of y and plug them into the differential equation:
y = sin(4t) + 3cos(4t) y’ = 4cos(4t) - 3sin(4t) y’’ = -16sin(4t) - 12cos(4t)
Now, we substitute these expressions into the differential equation:
3y’’ + 48y = 0 3(-16sin(4t) - 12cos(4t)) + 48(sin(4t) + 3cos(4t)) = 0 -48sin(4t) - 36cos(4t) + 48sin(4t) + 144cos(4t) = 0 108cos(4t) = 0
Since cosine can never equal zero for all values of t, the only solution is cos(4t) = 0, which occurs when 4t = (2n + 1)π/2 for any integer n. Therefore, the general solution to the differential equation is y = Asin(4t) + Bcos(4t), where A and B are constants. Since y(0) = 3 and y’(0) = 4, we can solve for A and B:
y = Asin(4t) + Bcos(4t) y(0) = A0 + B1 = B = 3 y’ = 4Acos(4t) - 4Bsin(4t) y’(0) = 4A1 - 4B0 = 4A = 4 A = 1
Therefore, the particular solution to the initial value problem is y = sin(4t) + 3cos(4t).
To find the maximum of |y(t)|, we can rewrite y(t) in terms of a single trigonometric function:
y(t) = √(sin^2(4t) + 9cos^2(4t)) = √(1 + 8cos^2(4t))
Since -1 ≤ cos(4t) ≤ 1 for all t, the maximum value of y(t) occurs when cos(4t) = 1, which gives:
y(t) ≤ √(1 + 8) = 3
Therefore, the maximum of |y(t)| for -∞ < t < ∞ is 3.
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Your question is incomplete but probably the full question was:
Verify that yequals sine 4 tplus3cosine 4 t is a solution to the initial value problem 3 y double primeplus48yequals0; y(0)equals 3, y prime (0)equals4. Find the maximum of StartAbsoluteValue y(t) EndAbsoluteValue for minus infinityless thantless thaninfinity.
A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.
The altimeter on the helicopter reads
meters, which means it is 100 meters
sea level. The altimeter on the submarine reads
meters, which means it is 200 meters
sea level.
Answer:
100
2. Above,
3. -200−200 ,
4. Below
when using a one-way within-groups anova the variablilty due to individual differences is reduced resulting in a
When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.
How to use an ANOVATo minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.
The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.
By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.
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please help I don't get it
2. Using proportion, the value of x = 38, the length of FC = 36 in.
3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.
What is the Angle Bisector Theorem?The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.
2. The proportion we would set up to find x is:
(x - 2) / 4 = 27 / 3
Solve for x:
3 * (x - 2) = 4 * 27
3x - 6 = 108
3x = 108 + 6
Simplifying:
3x = 114
x = 114 / 3
x = 38
Length of FC = x - 2 = 38 - 2
FC = 36 in.
3. The proportion we would set up to find x based on the angle bisector theorem is:
13 / 3x = 7 / (2x - 5)
Cross multiply:
13 * (2x - 5) = 7 * 3x
26x - 65 = 21x
26x - 21x - 65 = 0
5x - 65 = 0
5x = 65
x = 65 / 5
x = 13
Length of CD = 3x = 3(13)
CD = 39 cm
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In the table below, list each set of rational numbers in order from least to greatest. Then, list their opposites. Finally, list the opposites in order from least to greatest. The first example has been completed for you. 2. For each row, what pattern do you notice between the numbers in the second and fourth columns? Why is this so? PLEASE ANSWER
Answer:
step by step explanation !!
Step-by-step explanation:
hope it help!!
the diagram below shows a square-based pyramid
The solution is, 52 ft is the perimeter of the base of the pyramid.
Here, we have,
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
Area = side * side
Let the side be equal to ft.
Putting the given values in the formula:
169 = a^2
so, a = 13 ft
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 Side
Perimeter = 4 * 13 = 52ft
The solution is, 52 ft is the perimeter of the base of the pyramid.
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complete question:
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
1) Fill in the blank with True or False.
Answer:w
Step-by-step explanation:
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
The equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
How to determine the true equations?We have:
x = -2 and x = 2
Rewrite as:
x + 2 = 0 and x - 2 = 0
Multiply both equations
(x + 2)(x - 2) = 0
This gives
x^2 - 4 = 0 --- option (a)
Add 4 to both sides
x^2 = 4
Multiply by 4
4x^2 = 16 --- option (d)
Hence, the equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
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Simplify to create an equivalent expression 10+4(−8q−4)
Answer:
-32q-6
Step-by-step explanation:
Please look at the attachment! Hope this helps! ~~
Answer : -0.3125 + q + 0.5
1) Distribute
10 - 32q - 16
2) Divide all terms by -32
-0.3125 + q + 0.5
Answer the following questions. "Proof by Venn diagram" is not an acceptable approach. Remember that mathematics is a language, and it is necessary to use correct grammar and notation. 1. If A and B are ANY two sets, determine the truth-values of the following statements. If a statement is false, give specific examples of sets A and B that serve as a counter- example (3 pts each). a. (A\B) CA b. Ac (AUB)
In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.
a. (A\B) ⊆ A
The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.
b. A^c ⊆ (AUB)
The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.
On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.
Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.
Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.
In conclusion, both statements are true for any sets A and B, and there are no counterexamples.
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|-19+9|/3-|14-22|/9
give me an answer
Answer:22/
9
= 2 4/
9
≅ 2.4444444
Step-by-step explanation:
Add: -19 + 9 = -10
Absolute value: abs(the result of step No. 1) = abs(-10) = 10
Divide: the result of step No. 2 / 3 = 10 / 3 = 3.3333333333333 = 10/
3
Subtract: 14 - 22 = -8
Absolute value: abs(the result of step No. 4) = abs(-8) = 8
Divide: the result of step No. 5 / 9 = 8 / 9 = 0.88888888888889 = 8/
9
Subtract: the result of step No. 3 - the result of step No. 6 = 10/
3
- 8/
9
= 10 · 3/
3 · 3
- 8/
9
= 30/
9
- 8/
9
= 30 - 8/
9
= 22/
9
What are the next letters in the following pattern 2,-3,4,-5
The next letters in the pattern are 6 and -7.The given pattern alternates between positive and negative numbers. By observing the pattern, we can determine the next numbers in the sequence.
The first number, 2, is positive. The second number is obtained by taking the negative of the previous number and subtracting 1. Therefore, -2 - 1 = -3.The third number is positive and is obtained by taking the absolute value of the previous number and adding 1. Therefore, |-3| + 1 = 4.
The fourth number is negative and is obtained by taking the negative of the previous number and subtracting 1. Therefore, -4 - 1 = -5.
Following this pattern, the next number will be positive and obtained by taking the absolute value of the previous number and adding 1. Therefore, |-5| + 1 = 6.
The next number after 6 will be negative and obtained by taking the negative of the previous number and subtracting 1. Therefore, -6 - 1 = -7.
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Find the value of x. If a segment looks like a tangent, it is a tangent.
Using laws of the outside angle theorem, we can find the value of the arc x to be = 130°.
Define outside angle theorem?The measure of an exterior angle is equal to the sum of the measures of the two distant interior angles of the triangle, according to the external angle theorem. According to the exterior angle inequality theorem, any triangle's outside angle has a measure bigger than either of its opposing interior angles.
Here in the question,
As per the outside angle theorem,
50° = 180° - x°
Adding x° on both sides:
⇒ 50° + x° = 180°
Now subtracting 50° from both sides:
⇒ x° = 180° - 50°
⇒ x° = 130°
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What is the solution to the equation below? Round your answer to two decimal places. e^x= 0.7 A. x = 5.01 B. x= -0.15 C. x = 2.01 D. x = -0.36
Answer:-0.36
Step-by-step explanation:
Answer: C. -0.36
Step-by-step explanation:
Dawn, Keith, and John are all working on a history project. Dawn spent 1.2 hours less than 6 times as many hours on the project as John did. Keith spent 0.8 hours more than 5 times as many hours on the project as John did. If Dawn and Keith spent the same amount of time working on the project, how many hours did John spend working on the project?
The work done by John in the history project is 2.0 hours.
Let the number of hours that Dawn, Keith, and John worked on a project be x, y, z respectively
Now, according to the given information in the question we get
Dawn spent 1.2 hours less than 6 times as many hours on the project as John did
x + 1.2 = 6z .....eqn 1
Keith spent 0.8 hours more than 5 times as many hours on the project as John did.
y = 5z + 0.8 ...eqn 2
If Dawn and Keith spent the same amount of time working on the project
x = y ...eqn 3
We need to find the number of that John spend working on the project, that means the value of z
We'll solve eqn 1, 2, 3 we get,
y = 6z - 1.2 ( using x =y)
y = 5z + 0.8
z - 2.0 = 0
z = 2.0
Hence, the work done by John in the history project is 2.0 hours.
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Why is it important that scientists use all of their results and not just some of them? Example: What should a scientist do if the evidence neither supports nor contradicts the hypothesis?
Why is it important for scientists to repeat each other's experiments?
Is there any scientific knowledge that it would be better not to have?
It is important for scientists to use all of their results because selective reporting can lead to biased or incomplete conclusions. Including all results helps ensure objectivity and transparency in scientific findings.
When the evidence neither supports nor contradicts the hypothesis, it is crucial for scientists to acknowledge and report this outcome. It indicates the need for further investigation and can contribute to the accumulation of knowledge. Scientists should explore alternative explanations, refine their hypotheses, or modify their experimental approaches to gain a deeper understanding of the phenomenon.
Scientists repeating each other's experiments serves as a vital aspect of the scientific process called replication. Replication helps validate or challenge previous findings, ensures the reliability of results, and identifies any potential errors or biases. It enhances the overall credibility and robustness of scientific knowledge by promoting consensus and reducing the likelihood of false or misleading conclusions.
Regarding whether there is any scientific knowledge that it would be better not to have, it is a complex question. Generally, scientific knowledge empowers humanity by expanding our understanding of the world and driving progress. However, ethical considerations may arise in certain areas, such as knowledge that could be weaponized or have harmful consequences if misused. Responsible dissemination and application of scientific knowledge, along with ethical frameworks, help ensure the benefits outweigh the potential risks.
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3. Classify the angle pair using all the names that apply.
2
Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.
Hope this helps!
Solve for X if ABC is double CBD
ABC=(4x+2)
CBD=(3x-7)
Answer:
d
Step-by-step explanation:
Evan is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
Two number lines have arrows on both ends and entries labeled 0 to 30. Each has x marks above some numbers. The first has 2 x marks above 5, 1 for 6, 1 for 8, 2 for 10, 1 for 14, 1 for 15, 1 for 17, and 1 for 10. The second has 1 x for 3, 1 for 5, 1 for 7, 1 for 10, 1 for 15, 1 for 18, 1 for 10, 1 for 22, and 2 for 25.
Answer:
4
Step-by-step explanation:
First you add all of the numbers one the first line and divide it by that amount of dots there are. In our case, 10.
Do the same thing to the bottom and then find the difference.