Answer: 0.008
Step-by-step explanation:
hope this is the right answer :)
It takes Michelle 25 minutes to descend 850 feet of the beginner slope at Mount Washington. Find her rate of descent (slope). If Michelle begins her descent at a height of 1200 feet, find a linear equation to describe her skiing motion.
Answer:
h = 1200 - 34t
Step-by-step explanation:
25 minutes, descend 850 feet, so each minute, descend 850/25 = 34 feet
after t minutes, descend 34*t feet,
starting at 1200 feet, so the height is h = 1200 - 34t
what is the functions domain ?
what is the functions range ?
find the values of the function f(-5)= and f(-1)=
Answer:
domain: -∞ < x < ∞range: -∞ < y ≤ -1f(-5) = -2f(-1) = -4Step-by-step explanation:
Function values and the extent of the graph can be determined by reading the graph.
DomainThe domain of the function is the set of values for which the function is defined. It is the horizontal extent of the graph. The graph shows the function is defined for all real numbers.
The domain is -∞ < x < ∞.
RangeThe range of the function is the set of output values the function may have. It is the vertical extent of the graph. The graph shows the function can have any value no greater than -1.
The range is -∞ < y ≤ -1.
Function valuesFunction values can be read from the graph by locating the x-value on the x-axis, and following the vertical line to its intersection with the function graph. The y-value of that point is the function value.
f(-5) = -2
f(-1) = -4
Or, we can write the function definition based on the graph, and use that definition to find the values at specific points. The graph is of the absolute value function reflected over x and translated <-4, -1>.
f(x) = -|x+4| -1
f(-5) = -|-5 +4| -1 = -1 -1 = -2
f(-1) = -|-1 +4| -1 = -3 -1 = -4
Suppose that the main GRE score for the United States is 500 and the standard deviation is 75 use the 68–90 5–90 9.7 empirical rule to determine the percentage of students likely to get a score below 275.
We can conclude that approximately 2.5% of students are likely to get a score below 275 on the GRE.
According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.
Given that the mean GRE score is 500 and the standard deviation is 75, we can calculate that a score of 275 is 2.33 standard deviations below the mean
z-score = (275-500) ÷75 = -2.33.
Using the empirical rule, we can determine that approximately 2.5% of students are expected to score lower than 275 on the GRE. This is because the area under the normal distribution curve beyond 2.33 standard deviations below the mean (i.e., to the left of z-score = -2.33) is about 0.01, and this area is multiplied by 2 to account for both tails of the distribution, giving a total probability of 0.025 or 2.5%.
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you spin each spinner and find the sum how many different sums are possible
Answer:
let's use a sample set.
8+8, 8+4, 8+5, 8+6, 8+7
4+8, 4+4, 4+5, 4+6, 4+7
5+8, 5+4, 5+5, 5+6, 5+7
6+8, 6+4, 6+5, 6+6, 6+7
7+8, 7+4, 7+5, 7+6, 7+7
There is 25 sums.
what is the area of a triangle with vertices at (0,0), (0,4) and (4,5)?
Answer:
8
Step-by-step explanation:
Let us label these coordinates for our own ease:
A(0,0)
B(0,4)
C(4,5)
Area= [Ax(By-Cy)+Bx(Cy-Ay)+Cx(Ay-By)]÷2
Area = [0(4-5)+0(5-0)+4(0-4)]÷2
Area= [0+0-16]÷2
Area = -8
But since the value can not be negative we have consider a modulus in the formula, thus the value is 8
Which data set has a median of 15?
18, 9, 19, 16, 6, 20. 13
9, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
7,16, 14, 16, 11, 7, 17
Answer:
B - The second data set.
Step-by-step explanation:
The median is the number in the middle.
The first set's median is 16.
The second's is 15.
The third's is 14.
The fourth's is 16.
The answer is the second data set :)
Answer:
B
Step-by-step explanation:
B
Coordinate Proof!
Given: Isosceles ∆ABC; M is the midpoint of AC-.
Prove: area ∆ABM = area ∆CBM
Proof
AM = √(x₂ − x₁)² + (y₂-y₁)²
= √(4-0)² + (0-0)²
= √4² = _
BM = √(x2-x₁)² + (1₂-y₁)²
= √(4-4)² + (6-0)2
= √6² = _
AM- ≅ CM- ____
AM = CM ____
CM = 4. Subst.
area ∆ABM
A = 1/2 bh
= 1/2 ___
= ___
area ∆CBM
A = 1/2 bh
= 1/2 ___
= ___
Therefore: Area ∆ABM = area ∆CBM by ___
The completed calculation with regards to the area of the congruent triangles can be presented as follows;
The distance formula indicates;
AM = √((x₂ - x₁)² + (y₂ - y₁)²)
Therefore, we get;
AM = √((4 - 0)² + (0 - 0)²) = √(4²)
AM = √(4²) = 4
BM = √((x₂ - x₁)² + (y₂ - y₁)²)
BM = √((4 - 4)² + (6 - 0)²) = √(6²)
BM = √(6²) = 6
AM ≅ CM Definition of the midpoint of AC
AM = CM Definition of congruent segments
CM = 4 Substitution property
Area ΔABM
A = (1/2)·b·h
= (1/2) × 4 × 6
= 12
Area ΔCBM
A = (1/2)·b·h
= (1/2) × 4 × 6
= 12
Therefore Area ΔABM = area ΔCBM by congruence
What are congruent triangles?Triangles are congruent if they have the same size and shape.
The details of the reasons for the calculation steps and values are presented as follows;
Definition of midpoint of a segment
The midpoint of a line segment is the point that divides the segment into two parts of the same length
Definition of congruence?
Congruence refers to the existence of compatibility or harmony between objects, which in geometry indicates that the two geometric figures have the same measurement
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After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
How much did your compounded continuously invest of $400 at a rate of 2.5% earn after 5 years and 6 months? *
A. $250.75
B. $350.57
C. $475.69
D. $458.96
What number is 35% of 675?
Answer:
236.25
Step-by-step explanation:
35/100x675=945/4 = 236.25
simplify the equation 3/5x +x
Answer:
8x/5
Step-by-step explanation:
What is the measurement of these congruent angles ?
Answer:
65°
Step-by-step explanation:
What is the measurement of these congruent angles ?
14x - 5 = 13x
14x - 13x = 5
x = 5
-----------------------
check & angles
14 * 5 - 5 = 13 * 5
65 = 65
the answer is good
-----------------------------
XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.
The values of the constants m and c include the following:
m = -1.3
c = 7.1
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;
2 = -7m + c ...equation 1.
-11 = 3m + c ...equation 2.
By solving the system of equations simultaneously, we have:
2 = -7m - 3m - 11
11 + 2 = -10m
13 = -10m
m = -1.3
c = 7m + 2
c = 7(-1.3) + 2
c = -7.1
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Match the metric measurement on the left with an equivalent unit of measurement on the right
Answer:
ans:
0.3 hectoliter = 3000 centiliters0.03 liter = 30 milliliterMatch the metric measurement on the left with an equivalent unit of measurement on the right are as follows;
0.3 hectoliter 3 deciliters
0.03 liters 30 milliliters
30 centimeter 3 Deciliters
3000 Milliliters 0.3 Decaliters
What is the unit measurement?A standard unit of measurement is a quantifiable language that describes the magnitude of the quantity.
Match the metric measurement on the left with an equivalent unit of measurement on the right is determined in the following steps given below.
1. 0.3 hectoliter = 0.3 × 10 = 3 deciliters
2. 0.03 liters = 0.03 × 1000 = 30 mililiters
3. 3 Centiliters = 0.3 Deciliters then 30 centimeter = 3 Deciliters
4. 3000 Milliliters = 0.3 Decaliters
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A travel agent makes the hypothesis:
More holiday refunds are given in the winter than in the summer.
a) Use the information in the bar chart to work out:
- i) the mean number of refunds given in the summer.
- ii) the mean number of refunds given in the winter.
b) Does your answer to part a) support the hypothesis or not?
a)
i) The mean number of refunds given in the summer is 21.
ii) The mean number of refunds given in the winter is 20.
b) The answer to part a) does NOT support the hypothesis.
How is this so?To calculate the mean number of refunds given in the summer and winter,we need to find the average of the values for each season over the given years. Let's calculate -
a) Mean number of refunds given in the summer -
(20 + 15 + 10 + 15 + 32 + 34) / 6
= 126 / 6
= 21
b) Mean number of refunds given in the winter -
(24 + 10 + 15 + 18 + 26 + 27) / 6
= 120 / 6
= 20
The mean number of refunds given in thesummer is 21, and the mean number of refunds given in the winter is 20.
b) Based on the calculated means, the answer to part a) does NOT support the hypothesis.
The mean number of refunds given in the summer (21) is greater than the mean number of refunds given in thewinter (20), indicating that more refunds are given in the summer than in the winter, contrary to the hypothesis.
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Rena, a pharmacy technician, is looking to make a 45%
solution. She has the alligation pictured below.
A.
20
45
Which solution can be used to fill in location A?
O 35
O 40
O45
O 55
The solution that can be used to fill in location A is 45%.
In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.
To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.
In this case, the concentration of 45% is closer to location A than the concentration of 20%.
This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.
Therefore, the solution that can be used to fill in location A is 45%.
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What the meaning of statement this?
The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.
The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.
In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.
The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.
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7
Select the correct answer from the drop-down menu.
Which term best fits the sentence?
After you make a decision, the next step in the decision-making process is to
whether you made the right choice.
Reset
Next
This step will help you det
Answer:
Step-by-step explanation: bot
Simplify the ratio 25 :15
Answer:
5/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 25 and 15 is 5
Divide both the numerator and denominator by the GCD
25 ÷ 5
15 ÷ 5
Reduced fraction:
5
3
Therefore, 25/15 simplified to lowest terms is 5/3.
brailiest pls hope it helps
3. Selecting three desserts from eight possible choices on a menu. How
many choices are there if you determine a 1st, 2nd and 3rd rank. What are
the possible outcome? Show all evidence of understanding.
Answer:
56 possible outcomes
Step-by-step explanation:
Order does not matter in this case, so we will find all the possible combinations:
8 nCr 3 = 8! / ((8 – 3)! 3!) = 40320 / 720 = 56
Therefore, there are 56 possible outcomes.
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
Find the slope of the line. Explain how you found your answer.
Answer: slope = 10/15
Step-by-step explanation: Identify two points in the graph
Make one of them (x1, y1) and the other (x2, y2)
Then use the slope equation:m= y2- y1/ x2 - x1
Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
Write the rate as a fraction in simplest form.
270 robberies per 200,000 residents
Select the correct answer below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
A. The rate written as a fraction in simplest form is
27/20000 is the rate as a fraction in simplest form.
In math, what is a fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.Which fraction types are there?
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.270 robberies per 200,000 residents in fraction form = 270/200000
= 27/20000
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A circular table top has a radius of 24 inches. What is the area of the table top, to the nearest square inch? Use 3.14 for pie Answer choices: 75in.^2 151in.^2 1809in.^2 7235in^2
Work Shown:
A = area of circle
A = pi*r^2
A = pi*24^2 ... plug in given radius r = 24
A = pi*576
A = 576pi .... exact area in terms of pi
A = 576*3.14 .... replace pi with its approximation
A = 1808.64
A = 1809 ..... rounding to nearest square inch
Tony had 4 equal sets of the sports cards. He gave his friends 5 cards. Now he has 31 cards. How many cards were in each set
Answer:
9
Step-by-step explanation:
Let x= number of cards in each set
4x-5=31 (add 5 to each side)
4x=36 (divide each side by 4)
x=9
The product of two whole numbers is 650 and their sum is 51. What are the two numbers?
Answer:
The numbers are 25 and 26.
Step-by-step explanation:
When you multiply 25 with 26 you get their product, 650. And when you add them you get the answer 51.
There are 5 blue dogs for every 2 green cats. How many green cats are there for 1 blue dog?
Answer:
2/5
Step-by-step explanation:
The ratio is 5:2 , simplify an you'll get 1:2/5
If a ball is thrown in the air with an initial
height of 4 feet, and if the ball remains in
the air for 3.8 seconds, then accurate to
the nearest foot, how high did it go?
Remember, the acceleration due to
gravity on Earth is -32 ft/sec².
[?] feet
The requried ball reached a maximum height of approximately 62 feet
Let the ball is thrown vertically upward, we can use the following formula to find the maximum height it reaches:
\(h(t) = -16t^2 + vt + h_0\)
here, h(t) is the height of the ball at time t, v is the initial velocity of the ball (in feet per second), and h0 is the initial height of the ball (in feet). We can also use the fact that the ball remains in the air for 3.8 seconds, which means that the time it takes to reach the maximum height is half of that or 1.9 seconds.
At the highest point, the ball's velocity is zero, so we can find the initial velocity by setting v = 0 in the above formula and solving for h₀:
h₀ = h(t) + 16t²
= 4 + 16(1.9)²
≈ 4 + 57.76
≈ 61.76
Therefore, the ball reached a maximum height of approximately 62 feet
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a) Find 1% of 500.
b) Increase 500 by 1%.
Answer:
a)5
b)505
Step-by-step explanation:
a)500--100%
x---1%
x=5
b)
500----100%
x------101%
x=505