Answers
Answer:
20-39 ⇒ 5
40-59 ⇒ 3
60-79 ⇒ 5
80-99 ⇒ 10
Answer:
20-39: 5
40-59: 3
60-79: 5
80-99: 10
Step-by-step explanation:
If you just added up, you can find all the values.
Related Questions
An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 640 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower? At the moment the plane passes over the tower, the distance between the person and plane is changing at a rate of ________ft/s
Answers
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
Andrew left his house at time zero and drove to the store, which is 10 blocks away, at a
speed of 5 blocks per minute. Then he stopped and went into the store for 2 minutes.
From there, he drove in the same direction at a speed of 5 blocks per minute until he
got to the bank, which is 10 blocks away from the store. He stopped at the bank for 3
minutes. Then he drove home at a speed of 4 blocks every minute. Make a graph of
showing the number of blocks away from home that Andrew is 2 minutes after he
leaves his house, until he gets back home.
Answers
the graph of Andrew's distance from home will look like this: Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10 Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
What is graph?Graph is a data structure which is used to represent relationships between objects or data points. It is composed of nodes and edges, where nodes are the objects and edges are the connections between the objects. Graphs are used to represent mathematical equations, networks, and data structures such as trees. They are also used to represent relationships between data points in large datasets. Graphs can be used to represent both directed and undirected relationships, and are commonly used in many fields including computer science, engineering, mathematics, and data science.
From the given information, we can create a graph that shows Andrew's distance from home as he drives to the store, to the bank, and back again. The x-axis will represent time (in minutes), and the y-axis will represent the number of blocks away from home.
At time zero, Andrew is at his home, so the graph will begin with a point at (0, 0). As he travels to the store, the graph will move up 5 blocks for every minute he drives. Therefore, after 2 minutes, he will be 10 blocks away from home, so the graph will be at (2, 10). After he stops at the store for 2 minutes, he will still be 10 blocks away from home, so the graph will stay at (2, 10).
When he leaves the store and drives to the bank, he will move 5 blocks each minute. After 5 minutes, he will be 25 blocks away from home, so the graph will be at (5, 25). After he stops at the bank for 3 minutes, he will still be 25 blocks away from home, so the graph will remain at (5, 25).
Finally, when he drives home, he will move 4 blocks for each minute he drives. After 5 more minutes, he will be back at his home, so the graph will be at (10, 0).
Therefore, the graph of Andrew's distance from home will look like this:
Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10
Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
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NASA's space shuttle orbits Earth
1 time in 90 minutes. How many times would
the space shuttle orbit Earth in 6 hours?
Answers
simplify
(1/2)^2 -6(2-2/3)
Answers
Answer:
= −31/4
(Decimal: -7.75)
Step-by-step explanation:
Please help me I really need this
Answers
Answer:
Step-by-step explanation:
Draw a horizontal line at the end of the 8 meter horizontal line.
Find the area of the horizontal rectangle
L = 8 + 3
W = 2
Area = L*w
Area = 11*2
area = 22 m^2
Now do the vertical rectangle
L = 8
w = 3
Area = L*w
Area = 8 * 3
Area = 24 m^2
Total Area = 24 + 22 = 46 m^2
Habiba wants to buy a new laptop. She purchases it for $950 and finances it for 3 years at an interest rate of 9.2%. How much interest will she pay?
Answers
Interest rate: 9.2%
Time: 3 years
Interest payment: $262.2
if a tree is 105 metres tall in real life what would be the height of the diagram of the tree if the scale was 1: 1000
Answers
Answer:
1.05
Step-by-step explanation:
it is 105 divided by 1000
Answer:
0.105 metres
Step-by-step explanation:
105 divided by 1000
Angle bisectors $\overline{AX}$ and $\overline{BY}$ of triangle $ABC$ meet at point $I$. Find $\angle C,$ in degrees, if $\angle AIB = 109^\circ$.
Answers
Answer:
<C = \(38^{o}\)
Step-by-step explanation:
Given that: <AIB = \(109^{o}\)
<AIB + <BIX = \(180^{o}\) (sum of angles on a straight line)
\(109^{o}\) + <BIX = \(180^{o}\)
<BIX = \(180^{o}\) - \(109^{o}\)
<BIX = \(71^{o}\)
But,
<AIB = <YIX = \(109^{o}\) (opposite angle property)
<XIB = <AIY = \(71^{o}\) (opposite angle property)
Therefore,
\(\frac{A}{2}\) + \(\frac{B}{2}\) = \(71^{o}\) (Exterior angle property)
\(\frac{A + B}{2}\) = \(71^{o}\)
A + B = \(142^{o}\)
A + B + C = \(180^{o}\) (sum of angles in a triangle)
\(142^{o}\) + C = \(180^{o}\)
C = \(180^{o}\) - \(142^{o}\)
C = \(38^{o}\)
Thus, angle C is \(38^{o}\).
The scale on a map shows that 1.5 inches represents 100 miles. The distance between two cities on the map is 4.5 inches What is the
actual distance between the two cities?
A 300 miles
B 450 miles
C 600 miles
D 675 miles
Answers
Answer:
a 300 miles
Step-by-step explanation:
4.5 inches = 3×1.5 inches
so
4.5 inches = 3×100 miles = 300 miles
Let a, b, and c be integers. Consider the following conditional statement:
If a divides bc, then a divides b or a divides c
Which of the following statements have the same meaning as this conditional statement, which ones are the negations, and which ones are not neither? Justify your answers using logical equivalences or truth tables.
A) If a does not divide b or a does not divide c, then a does not divide bc.
B) If a does not divide b and a does not divide c, then a does not divide bc.
C) If a divides bc and a does not divide c, then a divides b.
D) If a divides bc or a does not divide b, then a divides c. (e) a divides bc, a does not divide b, and a does not divide c.
Answers
Step-by-step explanation:
Given that the logical statement is
"If a divides bc, then a divides b or a divides c"
we can see that a must divide one either b or c from the statement above
A) If a does not divide b or a does not divide c, then a does not divide bc.
This is False because a can divide b or c
B) If a does not divide b and a does not divide c, then a does not divide bc.
this is True for a to divide bc it must divide b or c (either b or c)
C) If a divides bc and a does not divide c, then a divides b.
This is True since a can divide bc and it cannot divide c, it must definitely divide b
D) If a divides bc or a does not divide b, then a divides c.
This is True since a can divide bc and it cannot divide b, it must definitely divide c
E) a divides bc, a does not divide b, and a does not divide c.
This is False for a to divide bc it must divide one of b or c
Answer:
D
Step-by-step explanation:
help asap please i will give you a heart
Answers
Answer:
32.4
Step-by-step explanation:
i knoiw it
Which has a greater average rate of change over the interval where -1≤x≤3; the function
g(x)=x²+6x or the function f(x) = 2*. Provide justification for your answer.
Answers
Answer: Step-by-step explanation:
To find the average rate of change of a function over an interval, we can use the following formula:
average rate of change = (y2 - y1)/(x2 - x1)
Where x1 and x2 are the values of x at the beginning and end of the interval, and y1 and y2 are the corresponding values of the function at those points.
In this case, we are asked to compare the average rate of change of the functions g(x) and f(x) over the interval where -1≤x≤3.
For the function g(x) = x²+6x, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (g(3) - g(-1))/(3 - (-1))
= (9 + 18 - (1 - 6))/(4)
= 27/4
= 6.75
For the function f(x) = 2, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (f(3) - f(-1))/(3 - (-1))
= (2 - 2)/(4)
= 0
Since the average rate of change of the function g(x) is greater than the average rate of change of the function f(x), the function g(x) has a greater average rate of change over the interval where -1≤x≤3.
I hope this helps clarify the comparison of the average rate of change for these two functions. Do you have any other questions?
find the difference below as a fraction 6/2_7/7
Answers
Answer:
2
Step-by-step explanation:
\(\frac{6}{2}\) - \(\frac{7}{7}\) First simplify each fraction
\(3\) - 1 Then solve
2 Final answer
The data manager for a state political party gathered data to determine how many citizens would support the party’s senate candidate. He polled citizens in 30 similarly sized senate districts and found a sample mean of 70,438 citizens. Statewide data shows that the population standard deviation is 645.3. What is the approximate 90% confidence interval for this situation?
Answers
The approximate 90% confidence interval for this situation is given as follows:
(70244, 70632).
What is a z-distribution confidence interval?The bounds of the confidence interval are given by the rule presented as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.From the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.645.
The parameters are given as follows:
\(\overline{x} = 70438, \sigma = 645.3, n = 30\)
The lower bound of the interval is given as follows:
\(70438 - 1.645 \times \frac{645.3}{\sqrt{30}} = 70244\)
The upper bound of the interval is given as follows:
\(70438 + 1.645 \times \frac{645.3}{\sqrt{30}} = 70632\)
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If a data set has many extremely small data values, than the median will be________the mean.
A. the same as
B. larger than
C. equal to
D. smaller than
Answers
if a data set has many extremely small data values,than the median will be the same as the mean
Need the correct answer to this question please and thank you
Answers
Answer:
C
Step-by-step explanation:
twice a number less three=2x-3
is one half of three times the number=3x/2
2x-3=3x/2
In 2000, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 65% per year after 2000. How many cell phone subscribers were in Centerville in 2020?
Answers
To determine the total number of cell phone subscribers that were in Centerville in 2020 is 5,928,227 people.
Given the following data:
Number of subscribers = 285Percentage increase = 65% Starting year = 2000Ending year = 2020Increment rate = 165% = 1.65
To determine the total number of cell phone subscribers that were in Centerville in 2020:
First of all, we would calculate the difference in years:
\(Year = 2020 - 2000\)
Year = 20 years
Mathematically, the growth rate of cell phone subscribers that were in Centerville in 2020 is given by the formula:
\(A_n = Pr^t\)
Substituting the given parameters into the formula, we have;
\(A_{20}=285(1.65)^{20}\\\\A_{20}=285 \times 22370.67\\\\A_{20}=5,928,227.55\)
Subscribers = 5,928,227 people.
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As a bowling instructor, you calculate your students' averages during tournaments. In 5 games, one bowler had the following scores: 143, 156, 172, 133, and 167. What was that bowler's average?
Answers
Answer:
154.2
Step-by-step explanation:
143 plus
156 plus
172 plus
133 plus
167 = 771
divide by 5 equals 154.2
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to:
300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000
If y = 87.5, what is the value for x?
Answers
The required value of x is 12.5 when y = 87.5
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
300x + 500/7y = 10,000
Now for the value of x put the value of y which is 87.5 in the given equation we get,
300x + 500/(7*87.5) = 10,000
Solving we get,
300x + 500/612.5 = 10,000
Simplifying the fraction we get,
300x + 43,750/7 = 10,000
Dividing the fraction we get
300x + 6,250 = 10,000
Subtract 6,250 from both sides
300x + 6,250 - 6,250 = 10,000 - 6,250
Solving we get,
300x = 3,750
Divide both sides by 300
x = 3,750/300
Solving we get
x = 12.5
this is the required value of x when y = 87.5
Thus, the required value of x is 12.5 when y= 87.5
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The correct question is attached.
Please answer this thank you
Answers
Answer:
The answer is B- X= 31/25
Answer:
x = 31/25
Step-by-step explanation:
Calculate employer's total FUTA and SUTA tax. As TCLH Industries operates in North Carolina, assume a SUTA tax rate of 1.2% and a taxable earnings threshold of $26,000. Current period taxable earnings for FUTA and SUTA taxes are the same as those for FICA taxes. Year-to-date taxable earnings for FUTA and SUTA taxes, prior to the current pay period, are as follows: Zachary Fox: $0 Calvin Bell: $20,478.57 David Alexander: $198,450 Michael Sierra: $117,600
Answers
the employer's total FUTA and SUTA tax is: $2,928
What is tax rate?
The percentage of income that a person or corporation must pay or withhold as taxes is known as the effective tax rate.
$7,000 (for Zachary Fox) + $7,000 (for Calvin Bell) + $7,000 (for David Alexander) + $7,000 (for Michael Sierra) = $28,000
The FUTA tax for this amount is:
$28,000 × 6.0% = $1,680
Therefore, the total taxable earnings subject to SUTA tax is:
$26,000 (for each employee) × 4 (number of employees) = $104,000
The SUTA tax for this amount is:
$104,000 × 1.2% = $1,248
The year-to-date FUTA and SUTA taxes are not given explicitly, so we cannot calculate the current period FUTA and SUTA taxes.
Therefore, the employer's total FUTA and SUTA tax is:
$1,680 (FUTA tax) + $1,248 (SUTA tax) = $2,928
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The number 2/5 is both an blank and an blank
Answers
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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1/3x+6=-8
solve for x
Answers
Answer:
X: should = 0.7, you already have 1/3 , and + 6= 8. take 8-6 = 2: 2- 1/3 = (0.7) so the abswer should be X= 0.7.
Enter the ratio as a fraction in lowest terms.
5 ft to 70 in.
Answers
Answer:
1/14
Step-by-step explanation:
The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14
Who is most affected by a discrepancy in dosage
Answers
When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.
What is the discrepancy in dosageInsufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.
It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.
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20 points for this questions!!
Answers
which of the following is equivalent to the radical expression below when x>0√12x^3 / √6x
Answers
SOLUTIONS
which of the following is equivalent to the radical expression below
\(\sqrt{12x^3}\div\sqrt{6x}\)Simplf the expression by factorising the common out
\(\begin{gathered} \frac{\sqrt{12x^3}}{\sqrt{6x}} \\ \frac{\sqrt{2x^2}\times\sqrt{6x}}{\sqrt{6x}} \\ x\sqrt{2} \end{gathered}\)Therefore the correct answer =
\(x\sqrt{2}\)Opr
Answer this please
I really need a answer
Answers
Answer:
The answer is D
Step-by-step explanation:
Why
The board is originally 108 inches long when you cut it in half that makes it two different pieces
You would divide 108 by 2 and you get D
Hoped this helped
what is a Pythagoras theorem
Answers
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
What is mathematical representation of Pythagoras theorem?From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;
C² = a²+b²
Where:
'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.Learn more about Pythagorean formula here:
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Graph the solutions of the following system of linear
inequalities.
y + 3x ≥ 0
3x - 5y ≤ 10
y≤4
Answers
Answer:
see attached
Step-by-step explanation:
You want the graph of the solutions to the inequalities ...
y + 3x ≥ 03x - 5y ≤ 10y ≤ 4GraphThe attachment shows the graph of these inequalities. The solution space in which (x, y) values satisfy all of these inequalities is the triangle bounded by the indicated points. The lines between these points are part of the solution space, since all of the inequality symbols include "or equal to."
The solution to y +3x ≥ 0 is to the right of the line with negative slope.
The solution to 3x -5y ≤ 10 is to the left of the line with positive slope.
The solution to y ≤ 4 is below the horizontal line.
