Answer:
(a)5 and 8
(b)5 and 5
(c) 7 and 5
(d)6 and 2
(e)6 and -2
Step-by-step explanation:
(a)a negative integer
We consider the integers 5 and 8
Difference = 5-8 =-3
3 is a negative integer.
(b)Zero
We consider the integers 5 and 5
Difference = 5-5 =0
(c) an integer smaller than both the integer.
We consider the integers 7 and 5
Difference = 7-5 =2
2 is smaller than both integers.
(d) an integer smaller than only one of the integers.
We consider the integers 6 and 2
Difference =6-2=4
4 is smaller than only 6.
(e)an integer greater than both the integers
We consider the integers 6 and -2
Difference =6-(-2)=6+2=8
8 is greater than both 6 and -2.
What are the radius and circumference of a circle with diameter of 12 meters
Answer:
radius =6, circumference=37.7 m
Step-by-step explanation:
radius=12/6, circumference=2*pie*r
2*22/7*6=37.7 m
Answer:
Circumference of a circle = 2πr
where r is the radius
radius = diameter / 2
radius = 12 / 2 = 6 m
radius is 6 meters
Circumference = 2π×6
= 12π
= 37.7 meters
Hope this helps
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent?
Complete Question
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.
• You are meeting a flight that departed on time. What is the probability that it will arrive on time?
• You have met a flight, and it arrived on time. What is the probability that it departed on time?
• Are the events, departing on time and arriving on time, independent?
Answer:
1st Question
[tex]P(X_1) = 0.833[/tex]
2nd Question
[tex]P(X_2) = 0.938[/tex]
3rd Question
The probabilities are not independent
Step-by-step explanation:
From the question we are told that
The probability of flight that depart on time is P(DT) = 0.9
The probability of flights that arrive on time is [tex]P(AT) = 0.8[/tex]
The probability of flight that depart on time and arrive on time is [tex]P(DT\ |\ AT) = 0.75[/tex]
In the first question the flight is departed on time so the probability that it will arrive on time is
[tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]
substituting values
[tex]P(X_1) = \frac{0.75}{0.9}[/tex]
[tex]P(X_1) = 0.833[/tex]
In the second question the flight arrived on time, so the probability that it departed on time is mathematically evaluated as follows
[tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]
substituting values
[tex]P(X_2) = \frac{0.75}{0.8}[/tex]
[tex]P(X_2) = 0.938[/tex]
Looking at the given and calculated values we see that the probability of depart on time and arrive is not equal to the probability of depart on time,
i.e 0.75 = 0.8
the probability of depart on time and arrive, and the probability of depart on time are not independent
(40 POINTS) TRUE OR FALSE? The transformation of the function f(x) = (1/2)^x when it becomes f(x) = (1/2)^x+3 is a horizontal shift of 3 units to the right?
Answer:
False.
Step-by-step explanation:
You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.
translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?
The result is number [tex]r[/tex] where:
[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]
Hope this helps.
Which best explains why these two figures are similar or not similar?
Hey there! :)
Answer:
These two figures are similar because 5/3 equals 15/9.
Step-by-step explanation:
These figures are similar to each other, which means the side-lengths are proportional. Therefore:
[tex]\frac{5}{9} = \frac{15}{9}[/tex]
Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.
PLEASE ALL YOU NEED TO DO IS MATCH NUMBERS *Drag the tiles to the correct boxes to complete the pairs. Match the algebraic addition of each pair of complex numbers to its sum represented graphically.*
Answer:
1) A = (3 + 5·i) + (2 - 3·i)
2) A = (-3 + 5·i) + (-2 - 3·i)
3) A = (-3 + 5·i) + (2 + 3·i)
4) A = (3 - 5·i) + (2 + 3·i)
Step-by-step explanation:
1) For the first chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (3 + 5·i) + (2 - 3·i)
2) For the second chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (-3 + 5·i) + (-2 - 3·i)
3) For the third chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (-3 + 5·i) + (2 + 3·i)
4) For the fourth chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (3 - 5·i) + (2 + 3·i)
I divided one hole number by another hole number and got 3.125 on my calculator. both my numbers are less than 50 but I'v forgotten what they are. Can you work out what they are?
Answer:
25 and 8
Step-by-step explanation:
a/b = 3.125
a/b = 3125/1000
make it simple (divide by 25)
a/b = 125/40
ah, can be more simple (divide by 5)
a/b = 25/8
see 25 + 8 is less than 50
Step-by-step explanation:
1.25/8=3.125
50/16=3.125
but it tells that both two numbers are less than 50 then,the numbers are 25 and 8
Fill in the blanks to solve 2{,}000 \times 92,000×92, comma, 000, times, 9. 2{,}000 \times 92,000×92, comma, 000, times, 9 Step 111 {} \times \ 2 \times 9× 2×9times, space, 2, times, 9 Step 222 {}\times \ 18× 18times, space, 18 Step 333
Answer:
[tex]\boxed{}[/tex] =1,000
Step-by-step explanation:
We want to solve: [tex]2{,}000 \times 9[/tex]
Now, 2000=1000 X 2
We were given the following steps:
[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]
Therefore, the blank space is to be filled with 1000.
[tex]2{,}000 \times 9 =18{,}000[/tex]
A pattern is made from 4 congruent squares the sides of the squares are parallel to the axis
Answer:
Coordinate of C = (22, 20)
The Complete Question related to this found at ELEVISE website is stated below:
A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Point C is marked on the diagram.
Work out the coordinates of C.
Step-by-step explanation:
Coordinates (x, y)
Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Find attached the drawing
From the labelled diagram
Change in y = 36-7 = 29
Change in x = 38-6 = 32
Using the horizontal axis:
The length of congruent 4 squares is between 38 and 6 = 32
The length of each congruent 4 squares = 32/4
The length of each congruent 4 squares = 8
Therefore the dimensions of the square is 8 by 8
Coordinate of C (x, y)
For x axis = 38 - length of 2 squares OR 6+ length of 2 squares
38 - length of 2 squares =38 - 2(8)
= 38-16 = 22
For y axis = 36 - length of 2 squares
= 36 - 2(8)
= 36-16 = 20
Coordinate of C = (22, 20)
simplify 3 x (x + 2) + 2 x ( 1 - x)
Answer:
x+8
Step-by-step explanation:
[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]
Hope this helps!
Answer:
x + 8
Step-by-step explanation:
3 × (x + 2) + 2 × (1 - x)
3(x + 2) + 2(1 - x)
Expand the brackets.
3(x) + 3(2) + 2(1) + 2(-x)
Multiply the terms.
3x + 6 + 2 + -2x
Rearrange.
3x + - 2x + 6 + 2
Add like terms.
1x + 8
What is the difference between the Segment Addition Postulate and the Midpoint of a Segment?
Answer:
Does this help?
Step-by-step explanation:
Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.
Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.
Answer:
Step-by-step explanation:
The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.
Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is
0 ≤ x ≤ 9460
Where x represents number of people.
For the range, the lowest total sales is 0 × 45.5 = $0
The highest total sales is
9460 × 45.5 = $430430
The range is
0 ≤ y ≤ 430430
Where y represents total sales
Ifx=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
Answer:
D = 0
Step-by-step explanation:
Given
x-intercept = -3
Required
What does the discriminant represent?
The discriminant of a quadratic function can take any 3 values; these are as follows;
When D > 0 When D < 0When D = 0Which translates to
signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots existThe question says that x-intercept = -3 is the only value;
This means that: x = -3 or x = -3
Analyzing the roots
3 and -3 are identical-3 and -3 are realThis means they satisfy condition number 3;
Hence, D = 0
someone help me I will give brainliest:)
Answer:
Hello There. The correct answer is 10^(-4)
Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)
ItsNobody~
Please Answer! Select the correct answer. Waylan created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Waylan drew?
Answer:
The answer is y=3/4+5 (C)
Step-by-step explanation:
You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.
The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.
From the given graph, the coordinate points are (4, 8) and (16, 17).
Here, slope (m) = (y₂-y₁)/(x₂-x₁)
= (17-8)/(16-4)
= 9/12
= 3/4
Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get
8=3/4 ×4+c
8=3+c
c=5
Substitute m=3/4 and c=5 in y=mx+c, we get
y=3/4 x+5
Therefore, the correct answer is option C.
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Please help me with trig I’d really appreciate
Answer:
2 root 10/ 7, or the second option.
Step-by-step explanation:
If a is 3, then b is root 40. (Pythagorean)
root 40= root 4x10, or 2 root 10
Tangent= opposite/hypotenuse
Tangent= 2 root 10/ 7
(-3,0) m = 2
Finde slope intercept form
Answer: y = 2x + 6
Step-by-step explanation:
Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.
m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.
The line also goes through (-3, 0) using the slope.
Please answer this question now in two minutes
Answer:
c. Not enough information
List the numbers that are in set (A U B)'
Answer
Step-by-step explanation:
(A U B) means that we should list the numbers that are in both A and B 12/8/10 are for example in both A and B THE COMPLEMENT is anything that is out ( A U B ) so 1,3 and 5Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b obtuse. What must be true?
Answer:
C
Step-by-step explanation:
If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.
Answer:
C.
Step-by-step explanation:
In triangles, the largest angle is always opposite from the longest side.
In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.
In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.
The correct answer is C.
4/5 of a number is 32
Answer:
x = 40
Step-by-step explanation:
Step 1: Write out an equation
4/5(x) = 32
Step 2: Solve by dividing both sides by 4/5
x = 32/(4/5)
Use KCF (Keep Change Flip) if you do not have a calc.
x = 40
Answer:
The answer is 40
Step-by-step explanation:
32 times 5 is 160
then: 160 divided by 4 is 40.
check the answer: 4/5 of 40 is 32
because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.
Hope this helps!!!Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? (1 point)
Answer:
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
The ordered pairs are: (100, 135) and (500, 375)
The first number is the number of minutes of usage and the second number is the charge of the month.
The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6
Step-by-step explanation:
Please help me!!!!!!!!!!!!!!!!!
Answer:
A is the correct option.
Step-by-step explanation:
1/12 = 0.0833333333
Answer:
Option A
Step-by-step explanation:
=> [tex]\frac{1}{12}[/tex] = 0.8333.........
=> [tex]\frac{7}{8}[/tex] = 0.875
=> [tex]\frac{14}{25}[/tex] = 0.56
=> [tex]\frac{17}{20}[/tex] = 0.85
=> [tex]\frac{6}{10}[/tex] = 0.6
So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.
Subtracting Rational Numbers Simplify –3 – 1.
Answer:
-4
Explanation:
when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.
Answer: -4
Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.
So we have -1 + -1.
Now let's use a number line to find our answer.
Starting at 0, -3 moves us 3 units to the left, then from there,
-1 moves us 1 more unit to the left and we end up at -4.
So -3 + -1 is -4.
TWO MINUTES HELP MY PLEASE
Answer: C
Step-by-step explanation:
Answer:
The third one. Y= -1/2x^2 -2x -1
Step-by-step explanation:
Pleas answer this is in two minutes
Answer:
b
Step-by-step explanation:
not a because equilateral would be all equal
scalene is all different
Answer:
scalene
Step-by-step explanation:
because all sides are different.
If you were to pull colored marbles out of the bag (one at a time, and putting the marble back each time) for 500 tries, approximately how many times would you select a red marble?
Answer:
We need to know the other marbles in the bag and how many there are of each.
this Venn diagram shows was played by 10 students let event A = was the same play basketball like even see it with a student play soccer what is a P(A OR B)
Answer:
B. 3/5 is correct.
Step-by-step explanation:
P(A or B) is the number of students within either set (circle) divided by the total number of students (10).
There are 6 students (3+1+2) in the sets, so
P(A or B) = 6/10 = 3/5
Answer B. 3/5 is correct.
The value of P(A or B) from the Venn diagram is 2/5.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
Event A = Students that play basketball
Event B = Students that play Soccer
Now,
From the Venn diagram,
P(A) = 3/10
P(B) = 2/10
P(A ∩ B ) = 1/10
Now,
P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)
So,
P(A U B )
= P(A) + P(B) - P (A ∩ B)
= 3/10 + 2/10 - 1/10
= (3 + 2 - 1) / 10
= 4/10
= 2/5
Thus,
The value of P(A or B) is 2/5.
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H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.