Answer:
Step-by-step explanation:
A RIGHT triangle has TWO LEGS and a HYPOTENUSE ( the longest side)
Pythagorean Theorem for right triangles states:
Hypotenuse ^2 = Leg1 ^2 + Leg2 ^2
if you sub in the three sides of the triangle and this is TRUE , it is a RIGHT triangle .
At 2:45 P.M, you are 117 miles from Tampa. You want to be in Tampa at 5:00 P.M. How many miles per hour must you average to be on time?
Answer:
93.6
Step-by-step explanation:
First, convert the time you have to work with to hours:
1 hour 15 minutes = 1.25 hours
required speed to cover 117 miles in 1.25 hours =
distance ÷ time = 117 miles ÷ 1.25 hours = 93.6 miles per hour (apprx.)
A new car is purchased for 21,100 dollars. The value of the car depreciates at a rate of 2% per year. Which equation represents the value of the car after 5 years?
the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08
How to calculate the equation that represents the value of the car after 5 yearsGiven:
The cost price of the car, P = $21100,
The depreciation rate = 2%
Calculate the value of the car after 6 years by the following formula,
A = P (1- r / 100)ⁿ
Here A is the value of the car after 6 years.
Substitute the values,
A = 21100 × (1- 2 / 100)^5,
A = $19,105.08
Therefore, the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08
The first To Answer Gets Brainliest!!!
These lines never intersect, there are no solutions to the equation.
Describe Graph?In mathematics, a graph is a visual representation of a set of objects and the relationships between them. Graphs are widely used in many areas, including mathematics, computer science, engineering, social sciences, and more.
A graph consists of two main components: vertices (also known as nodes) and edges. The vertices represent the objects, and the edges represent the connections or relationships between them. The edges can be directed or undirected, meaning they can be one-way or two-way relationships.
There are many types of graphs, including:
Undirected graphs: Graphs in which edges have no direction.
Directed graphs: Graphs in which edges have a direction, often represented by arrows.
Weighted graphs: Graphs in which edges have weights or values, representing some kind of numerical data.
Bipartite graphs: Graphs in which the vertices can be divided into two distinct sets, with edges only connecting vertices in different sets.
Complete graphs: Graphs in which every vertex is connected to every other vertex by an edge.
Graphs are used to model and analyze various kinds of data, such as social networks, transportation systems, financial transactions, and more. They are also used in algorithms and data structures, such as shortest path algorithms and tree data structures. In addition, graphs are often visualized using software tools to help people better understand complex relationships and patterns in data.
The given equation is 3x + 1 = 3x + 2.
Subtracting 3x from both sides, we get:
1 = 2
This is a contradiction and there are no values of x that can satisfy this equation.
On a graph, this can be seen as follows:
Plotting the graphs of y = 3x + 1 and y = 3x + 2, we get two parallel lines.
Since these lines never intersect, there are no solutions to the equation.
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I need alottttt of hellp
The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.
Thus,
b + 3 + 6c - Yes
-30 - 24z - No
27n + 66p - Yes
36 - 9j + 6k - Yes
Determining the greatest common factorFrom the question, we are to determine if 3 is the greatest common factor of the given expressions
b + 3 + 6c
3(b + 1 + 2c)
The greatest common factor is 3
-30 - 24z
6(-5 -4z)
The greatest common factor is not 3. The greatest common factor is 6
27n + 66p
3(9n + 22p)
The greatest common factor is 3
36 - 9j + 6k
3(12 - 3j + 2k)
Thus, The greatest common factor is 3
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HELP PLEASEEE
Write en equation of a Line that goes through (1, 2) slope = 7. Put in point slope
One angle of an isosceles triangle measures 120 degrees. Which other angles could be in that isosceles triangle?
Answer: The other angle would be 60 degrees.
Step-by-step explanation:
What is the conversion of 175 cm to inches ?
The conversion factor for converting centimetres to inches (in.) is 0.3937. Thus, the conversion of 167 centimetres to inches is equals to the 68.89 inches.
To convert from one unit to another, multiply by a conversion factor. The centimeter (cm) is the fractional part of the meter, the international standard unit of length, and is approximately equal to 39.37 inches. An inch is a unit of length or distance in measurement system of common American units and British Imperial units. One inch is defined as 1/12 of a feet. To convert a centimeter value to its equivalent inch value, simply multiply the centimeter value by 0.39370078740 (the conversion factor). The formula to convert centimeters to inches is: Inches
= Centimeters × 0.39370078740.
The factor 0.39370078740 is the result of dividing 1/2. So the best formula is inches = centimeters / 2.54. Now we need to convert 175 cm to inches. So, according to the formula, inches = 175 cm / 2.54
= 68.8976377953 ~ 68.89
Hence, required value is 68.89 inches.
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Alex constructs a scatter plot. He realizes that he needs to add one more point, which will be an outlier. Which of the ordered pairs does he still need to plot? Responses (2,12) left parenthesis 2 comma 12 right parenthesis (18,10) left parenthesis 18 comma 10 right parenthesis (10,6) left parenthesis 10 comma 6 right parenthesis (14,2)
Any of the given ordered pairs could be the outlier depending on the overall distribution of the data.
Why is it known as a "ordered pair"?A pair of items that have a specific significance for the order of their placements is called an ordered pair, as the name suggests.
A point that deviates significantly from the general trend of the other data points is referred to as an outlier. The outlier point would be one that does not fit the pattern, if we assume that the other plotted points constitute a general pattern or trend.
We cannot identify with certainty which point would be the outlier without knowing the other plotted points or the context of the scatter plot. Depending on the overall distribution of the data, any of the ordered pairings that are presented could be an outlier.
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The Click-O Pen Company produced 1.8×106 pencils each year for 4 years. What was the total number of pencils the Click-O Pen Company produced during those 4 years?
The Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.
What is the arithmetic operations?
The basic arithmetic operations are the fundamental mathematical operations used in arithmetic, which include:
Addition: combining two or more numbers to find their total or sum.Subtraction: finding the difference between two numbers by subtracting one from the other.Multiplication: finding the product of two or more numbers, which is the result of repeated addition.Division: dividing a number into equal parts or groups.To find the total number of pencils produced by the Click-O Pen Company during the 4 years, we need to multiply the number of pencils produced each year by the number of years.
We are given that the company produced 1.8×106 pencils each year for 4 years. Therefore, the total number of pencils produced is:
1.8×106 pencils/year × 4 years = 7.2×106 pencils
Hence, the Click-O Pen Company produced a total of 7.2×106 pencils during those 4 years.
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Answer:
The Click-O Pen Company produced 1.8 x 10^6 pencils each year for 4 years.
To find the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years:
Total number of pencils produced = (1.8 x 10^6) x 4
= 7.2 x 10^6
Therefore, the Click-O Pen Company produced a total of 7.2 million pencils during those 4 years.
Step-by-step explanation:
Start by identifying the number of pencils produced each year by the Click-O Pen Company. According to the problem statement, the company produced 1.8 x 106 pencils per year.
Next, determine how many years the company produced pencils for. In this case, we know that the company produced pencils for 4 years.
To calculate the total number of pencils produced during those 4 years, we need to multiply the number of pencils produced per year by the number of years. This gives us:
Total number of pencils = 1.8 x 106 pencils/year x 4 years
We can simplify this expression by multiplying 1.8 x 4 to get:
Total number of pencils = 7.2 x 106 pencils
Therefore, the Click-O Pen Company produced a total of 7.2 x 106 pencils during the 4-year period.
Which of the following shapes has volume?
circle
cube
rectangle
square
how many radians in a circle
There are a total of 2π Radians in a circle that is equal to 360°.
A circle is the locus of all those points which are at the same distance from a particular point called center in any plane. A radian is basically another unit of measuring the angle, it is equivalent to the standard degrees measures that we use commonly to find an angle.
When we make a circle, the angle it makes is equal to 360°. This is a characteristics property of a circle.
Now, we know,
π Radians = 180°
2 x 180° = 2xπ Radians
360° = 2π Radians
So, the circle will have a total of 2π Radian in it.
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What are the operations of set on basic algebra
There have been three main categories of operation on groups in the field of number theory:
union of sets ( ∪ )intersection of sets ( ∩ ), anddifference of sets ( – )ALSOIn algebra, addition, subtraction, multiplication, and division are the four fundamental arithmetic procedures that represent algebraic operations on trigonometric functions.
Y=x^2-5x+1 find the equation of the axis of symmetry
The equation of the axis of symmetry is x = 5/2
How to determine the equation of the axis of symmetryFrom the question, we have the following parameters that can be used in our computation:
y = x^2 - 5x + 1
The above equation si a quadratic equation
Differentiate the equation
SO, we have
y' = 2x - 5
Set the differentuated equation to 0
This gives
2x = 5
Evaluate
x =5/2
Hence, the equation is x =5/2
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Find the missing side ,(pre calculus)!
The values of x in the triangles are 9.23 and 7.5
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the above as a guide, we have the following:
cos(52) = x/15
Make x the subject of the formula
So, we have the following representation
x = 15 * cos(52)
Evaluate
x = 9.23
For the second triangle, we have
x = 17 * sin(26)
x = 7.5
Hence, the solution is 9.23 and 7.5
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how to convert milliseconds to a second
1 millisecond is equal to 0 point 001 or 1/1000 of a second. Using the formula seconds = (milliseconds/1000), you can convert milliseconds to seconds.
As per the Time Relationships:
One minute equals 60 seconds.
One hour has 60 minutes.
One Day = 24 hours.
One week is comprised of 7 days.
Twelve months equal one year.
One year is made up of fifty-two weeks.
A year has 365 days (or 366 in leap years) in total.
Ten years equal one decade.
One century is equal to 100 years.
One millennium equals 1000 years.
In Conversion principle:
Multiply from big to little.
Separate, from small to large.
This implies that you must multiply if you change a larger unit to a smaller one. However, you must divide if you take a smaller unit and make it into a larger one.
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Based on the results, what is the probability of needing more than 6 rolls to get doubles??
___
The probability of needing more than 6 rolls to get doubles is,
⇒ 3 / 20
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
Each student in Mr. Jones class has two standard number cubes.
Hence, The probability of needing more than 6 rolls to get doubles is,
Total number of cubes = 20
More than 6 rolls = 3
Thus, The probability of needing more than 6 rolls to get doubles is,
⇒ 3 / 20
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how to calculate for percent difference?
Percent difference is a measure of the difference between two values expressed as a percentage of their average.
The formula for percent difference is:
Percent difference = (|value 1 - value 2| / ((value 1 + value 2) / 2)) x 100%
where |value 1 - value 2| is the absolute value of the difference between the two values
((value 1 + value 2) / 2) is their average.
So the Percent difference is a measure of the difference between two values expressed as a percentage of their average.
To calculate percent difference, follow these steps:
Determine the two values you want to compare.
Calculate the absolute difference between the two values by subtracting one from the other and taking the absolute value of the result.
Calculate the average of the two values by adding them together and dividing by 2.
Divide the absolute difference by the average, and multiply by 100% to get the percent difference.
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To mix his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
Twenty-two people are running in tomorrow's
Road race and Jerome thinks they will each want two cups of energy drink.
B) how much water and how much drink mix should Jerome use to make enough energy drink for all the runners?
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation: 8 cups + 3 cups = 11 cups
So we know that 8 cups of water + 3 cups of drink mix = 11 cups of 'special energy drink'. Now, Jerome assumes that each person wants 2 cups so we perform the following equation: 22 people x 2 cups = 44 cups. We know that 8 cups of water and 3 cups of drink mix is equal to 11 cups so we just divide: 44 cups/11 cups = 4. Now we need to multiply 8 and 3 by 4 because he needs 4 x 11 cups, that is why we need to multiply
each of the numbers that make up 11 by 4. 8 cups x 4 = 32 cups,
3 cups x 4 = 12 cups
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation:
you invest R1500 in a fixed deposit for 3 years .how much interest will you earn at10% p.a simple interest
You will earn R450 in interest ($1500 x 0.10 x 3 = $450). Simple interest is calculated by multiplying the principal by the interest rate and the number of years.
The interest earned on a fixed deposit of R1500 at 10% p.a simple interest for 3 years will be R450.
To calculate the interest earned, we need to use the simple interest formula:
I = P * r * twhere I is the interest earned, P is the principal amount, r is the interest rate and t is the time period.
P = R1500
r = 10%
t = 3 years
I = 1500 * 0.10 * 3
I = R450
The interest rate of 10% per annum is the same for each year, and the interest is calculated on the initial principal, not the accumulated interest from previous years. This is why the formula for simple interest is so simple - the same calculation is applied each year, so the amount of interest earned increases each year, but at a slower rate than with compound interest.
The total amount of interest earned over the 3 years is R450, which is calculated by multiplying the principal by the interest rate and the number of years.
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\left\ {{9x-6y=4 \atop {15x-10y=7}} \right
Answer: The answer is {x,y}={17/5,-68/5}
Ashley and Alexandro have to determine if the two lines, y = -2x + 7 and 6x + 3y = 21, are parallel, perpendicular, or neither. Ashley thinks the lines are parallel. Alexandro thinks the lines are neither. Who is correct?
Ashley thinks the lines are parallel is correct. Meanwhile, Alexandro is wrong, he thinks the lines are neither.
The two lines, y = -2x + 7 and 6x + 3y = 21, are parallel because they have the same slope.
To determine if two lines are parallel, we need to check if their slopes are equal.
The slope of the first line, y = -2x + 7, is -2.
The slope of the second line, 6x + 3y = 21, can be found by rearranging the equation to solve for y:
3y = -6x + 21, divided by 3
y = -2x + 7
The slope of the second line is also -2. Since the slopes are equal, the lines are parallel.
However, to determine if two lines are perpendicular, we need to check if the product of their slopes is -1. The slope of the first line is -2, and the slope of the second line is -2.
The product of their slopes is (-2)(-2) = 4, which is not equal to -1. Therefore, the lines are not perpendicular.
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pleaseeee helpppppppppppppp
5) Practice: Summarizing
Find the slope of the line passing through (6, −1) and (7, 3). Let (x1, y1) = (6, −1) and (x2, y2) = (7, 3). List the coordinates, fill in the slope formula, and then simplify.
x1 = ___________ x2 = ___________ y1 = ___________ y2 = ___________
The slope is ____________.
We can fill in the given blanks as follows:
x1 =6, x2 = 7 , y1 = -1, y2 =3. The slope is 4.
What is meant by the slope of a line?
We have seen lines drawn on the coordinate plane in geometry. The best approach to determine without using any geometrical tools if the lines are parallel, perpendicular, or at any angle is to measure the slope. A line's steepness can be determined by looking at its slope. A line's slope in mathematics is defined as the ratio of the change in the y coordinates to the change in the x coordinates. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.
Given,
(x1, y1) = (6, −1)
(x2, y2) = (7, 3)
The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = 3 -(-1) / 7-6 = 4/1 = 4
Therefore we can fill in the given blanks as follows:
x1 =6, x2 = 7, y1 = -1, y2 =3. The slope is 4.
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Which equation, written in the form of y=x+b, represents the table of values?
X y
2 7
3 8
4 9
5 10
A.y=x+2
B.y=x+5
C.y=x+7
D.y=x+9
Answer:
Option B. y=x+5
Step-by-step explanation:
If x=2 and y=7
Inserting the values into y=x+5
7=5+2
7=7
If x=3 and y=8
y=x+5
8=3+5
8=8
If x=4 and y=9
y=x+5
9=4+5
9=9
If x=5 and y=10
y=x+5
10=5+5
10=10
7. In AABC, AD is an angle bisector and D lies on BC. Select all statements that are true. ☐A. AD is a perpendicular bisector of BC. B. m/CAD = m/BAD C. The intersection of AD and BC is the midpoint of BC. D. m/BAC = 90 E. mzADC + m2ADB = 180
Correct statement is that m∠BAD = m∠CAD
What is angle bisector?A angle bisector is a line that bisects an angle into two equal angles. A bisector means dividing a shape or object into two equal parts. When we draw a ray that bisects an angle into two equal parts of equal magnitude, it is called angle bisector.
Given,
In triangle ABC,
AD is angle bisector, D lies on BC,
which means, angle BAC is bisected
So,
magnitude of angle BAC will be divided into two equal parts.
m∠BAD = m∠CAD
Hence, m∠BAD = m∠CAD is correct statement given.
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Select al expressions that can be subtracted from 9x to result in the experssion 3x + 5
"6x - 5" is the expressions that can be subtracted from 9x to give the result in expression 3x+5.
To find the expression that can be subtracted from 9x to result in the expression 3x+5.
Let the expression be (a - b = c),
Here a = 9x
and the result, c = 3x + 5
We have to find out b = ?
Substitute the values of a and b in the above equation then we get;
9x - b = 3x + 5
9x - (3x + 5) = b
b = 6x - 5
Hence the expressions that can be subtracted from 9x to result in the expression 3x+5 is 6x - 5
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Calculate the amount that will be in the bank after 5 years if R4 700 is invested at 5% simple interest
The amount after 5 years with a simple interest of 5 % is A = $ 875
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the amount in the bank after 5 years be A
Let the simple interest be represented as I
Now , the principal amount invested = $ 700
The rate of interest r = 5 %
The number of years n = 5 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
On simplifying , we get
Simple Interest I = ( 700 x 5 x 5 ) / 100
Simple Interest I = 25 x 7
Simple Interest I = $ 175
Now , the amount after 5 years = P + I = 700 + 175
The amount after 5 years = $ 875
Hence , the amount after 5 years in the bank is $ 875
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the senior classes at high school A and high school B planned separate trips to Yellowstone national park. the senior class at high school A rented and filled 3 vans and 7 buses with 263 students High school B rented 12 vans and 3 buses with 177 students. every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
The number of students in the van are 6 and in the bus are 35.
What are system of equations?A system of equations is a combination of equations with a common solution pair.
Given is that the senior class at high school A rented and filled 3 vans and 7 buses with 263 students. High school B rented 12 vans and 3 buses with 177 students. every van had the same number of students in it as did the buses.
Assume that there are {x} students in each van and {y} students in each bus. We can write the system of equations as -
3x + 7y = 263
12x + 3y = 177
Now, we can write -
3x + 7y = 263
3x = 263 - 7y
4 x 3x = 4(263 - 7y)
12x = 1052 - 28y
So -
1052 - 28y + 3y = 177
25y = 1052 - 177
25y = 875
y = 35 ... { 1 }
and
3x + 7 x 35 = 263
3x = 18
x = 6 ... { 2 }
Therefore, the number of students in the van are 6 and in the bus are 35.
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A box contains 3 red marbles, 6 blue marbles, and 1 white marble. the marbles are selected at random, one at a time, and are not replaced. find each compound probability
The compound probability is P(R and then R) = P(R) x P(R|R) = (3/10) x (2/9) = 0.0667 or 6.67% (rounded to two decimal places)
Describe Probability?Probability is a measure of the likelihood or chance that an event will occur. It is a mathematical concept used to quantify the degree of uncertainty of a particular outcome in a random process.
The probability of an event occurring is expressed as a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain to occur. The probability of an event occurring can also be expressed as a percentage, with 0% indicating that the event is impossible and 100% indicating that the event is certain to occur.
The calculation of probability involves determining the number of possible outcomes that satisfy the condition of interest and dividing that number by the total number of possible outcomes in the sample space.
For example, if you toss a fair coin, the probability of getting heads is 0.5 or 50%, since there are two possible outcomes (heads or tails), and each outcome is equally likely. Similarly, if you roll a fair six-sided die, the probability of getting a 4 is 1/6 or approximately 0.167, since there is only one possible outcome of rolling a 4, out of six possible outcomes.
Probability is used in various fields, such as statistics, economics, engineering, and science, to analyze data, make predictions, and make decisions based on uncertain outcomes. It is an essential concept in many areas of study, and its applications are widespread.
Let's denote the events as follows:
R = selecting a red marble
B = selecting a blue marble
W = selecting a white marble
a) The probability of selecting a blue marble on the first draw, followed by a red marble on the second draw:
The probability of selecting a blue marble on the first draw is 6/10 (since there are 6 blue marbles out of a total of 10 marbles). If a blue marble is selected on the first draw, then there are 9 marbles left in the box, including 3 red marbles. The probability of selecting a red marble on the second draw, given that a blue marble was selected on the first draw, is 3/9. Therefore, the compound probability is:
P(B and then R) = P(B) x P(R|B) = (6/10) x (3/9) = 0.2 or 20%
b) The probability of selecting a white marble on the first draw, followed by a blue marble on the second draw, followed by a red marble on the third draw:
The probability of selecting a white marble on the first draw is 1/10. If a white marble is selected on the first draw, then there are 9 marbles left in the box, including 6 blue marbles. The probability of selecting a blue marble on the second draw, given that a white marble was selected on the first draw, is 6/9. If a blue marble is selected on the second draw, then there are 8 marbles left in the box, including 3 red marbles. The probability of selecting a red marble on the third draw, given that a white marble was selected on the first draw and a blue marble was selected on the second draw, is 3/8. Therefore, the compound probability is:
P(W and then B and then R) = P(W) x P(B|W) x P(R|W and B) = (1/10) x (6/9) x (3/8) = 0.025 or 2.5%
c) The probability of selecting a red marble on the first draw, followed by another red marble on the second draw:
The probability of selecting a red marble on the first draw is 3/10. If a red marble is selected on the first draw, then there are 9 marbles left in the box, including 2 red marbles. The probability of selecting another red marble on the second draw, given that a red marble was selected on the first draw, is 2/9. Therefore, the compound probability is:
P(R and then R) = P(R) x P(R|R) = (3/10) x (2/9) = 0.0667 or 6.67% (rounded to two decimal places)
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72% of the number of visitors to a zoo on a particular day were children. If 308 adults visited the zoo on that day, how many visitors did the zoo receive on that day?
The zoo received 1100 visitors that day
Can someone help on where to put the numbers?
The domain is 0 ≤ x ≤ 52. The maximum number of laws that she can mow with 13 gallons is of 52, and the minimum number is of 0.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when the graph touches/crosses the y-axis.The graph touches the y-axis at y = 13, hence the intercept b is given as follows:
b = 13.
When x increases by 20, y decays by 5, hence the slope m is given as follows:
m = -5/20
m = -0.25.
Hence the function is:
y = -0.25x + 13.
From the intercept, the minimum amount can be mowed is given as follows:
0.
The maximum amount is given as follows:
-0.25x + 13 = 0
0.25x = 13
x = 13/0.25
x = 52.
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