Hence , the value of the length of the AB is seven.
The term collinear is that the combined word of 2 Latin names ‘col’ + ‘linear’. ‘Col’ suggests that along and ‘Linear; suggests that line. Therefore, linear points mean points along in an exceedingly single line.The points that lie on constant line area unit collinear points.It is given that B is between A and C which means that A , B , C are collinear points and can be represented as
AB + BC = AB
x + 4 + 2x - 2 = 4x - 1
3x + 2 = 4x - 1
3 = x
AB = x + 4
= 3 + 4 = 7
Learn more about collinearity here :
https://brainly.com/question/3307641
#SPJ9
NO LINKS!! URGENT HELP PLEASE!!!
NOT MULTIPLE CHOICE!!
8. a. Finish the table
b. Name the type of sequence
c. Find the equation for the following sequence
Answer:
7: 63
8: 73
arithmetic sequence
y = 10x - 7
or f(n) = 10x -7
or
\(a_{n}\) = 3 + (n-1)10
Step-by-step explanation:
the output increases by 10 every time that the input increases by 1. That gives us our common difference or slope. The y intercept is -7. That is the value is you worked backwards until you get to n = 0. The initial value is 3. That is when n is 1.
When n is 3, f(n) is 23
When n is 2, f(n) is 13
When n is 1, f(n) is 3
When n is 0, f(n) is -7
I am not sure if this is clear. I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence. If my explanation is confusing it is me and not you.
Answer:
a. 63,73
b. Arithmetic sequence
c.t(n)=10n-7
Explanation:
a. Here is the completed table:
n | t(n)
4 | 33
5 | 43
6 | 53
7 | 63
8 | 73
b.
The type of sequence is arithmetic.
An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.
In this case, the difference between any two consecutive terms is 10.
c.
The equation for the arithmetic sequence is:
t(n)=a+(n-1)d
where:
t(n) is the nth term in the sequencen is the term numberd is the common differencea is the first termFor Question:
d=43-33=10a=?Now
equation becomes:
t(4) = a+(4-1)10
33=a+30
a=33-30
a=3
Now, the Equation becomes
t(n) = 3+(n-1)10
t(n) = 3+10n-10
t(n)=10n-7
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
For similar question on probability.
https://brainly.com/question/7965468
#SPJ8
Which angle measures 40 i-Ready
Answer:
<YTZ
Step-by-step explanation:
Vertical angles are congruent.
<VTW measures 40°.
<YTZ is vertical to angle VTW.
m<YTZ = m<VTW
m<YTZ = 40°
Answer: <YTZ
Hove
Find the average rate of change indicated below.
y = 4x+1
[-1, 1)
A.15
B.3.75
C.1.875
D.7.5
The average rate of change of the function over the interval is 4
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
y = 4x + 1
The interval is given as
[-1, 1)
The function is a linear function
This means that it has a constant average rate of change
From y = 4x + 1, we have
Rate = 4
Hence, the rate is 4
Read more about average rate of change at
https://brainly.com/question/17131025
#SPJ1
can someone help me i will give brainlest
Answer:
(48, 3), (80, 5), (160, 10)
1) You set aside $5,000 in a Barclays Savings Account earning 1% interest per year for 10 years. Find the ending
balance.
Can someone check if it’s correct also help me with the last one
Thanks
The perimeter of triangle ABC = 60 + 20√3 cm
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
In triangle ADB,
sin (30°) = AD/AB
1/2 = ( 10 √3 ) /AB
AB = 20√3
In triangle ABC,
cos (30°) = AB/BC
√3 /2 = 20√3 / BC
BC = 40
tan (30°) = AC/AB
1/√3 = AC/ 20√3
AC = 20
Perimeter of triangle ABC = AB +BC + AC
= 20√3 + 40 + 20
= 60 + 20√3
To learn more about the perimeter form the link:
https://brainly.com/question/19819849
#SPJ1
What is K=a-y;y solve for
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
To learn more on Pythagorean theorem: https://brainly.com/question/14930619
#SPJ1
Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answer:
1023/4
Step-by-step explanation:
shown in the picture
spot the error and rewrite pllz I need now
Quotient ×Remainder+dividend=Divisor
Answer:
Divisor × Quotient + Remainder = Dividend
Step-by-step explanation:
Hope it is helpful.....
Answer:
Divisor×Quotient+Dividend=Remainder
Find the distance between the points P and Q shown.
The distance between points P and Q is √73
How to find the distance between the two points?First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:
distance = √( (a - c)² + (b - d)²)
Here we can see that the coordinates of the two shown points are:
P = (-3, 2)
Q = (5, -1)
Replacing that in the distance formula we will get:
distance = √( (-3 - 5)² + (2 + 1)²)
distance = √( (-8)² + (3)²)
distance = √73
So the correct option is the third one.
Learn more about distance at:
https://brainly.com/question/7243416
#SPJ1
Compare the corresponding vertices in problem 2 and identify the transformation that produced LMN FROM ABC
Answer:
“The Beginnings of the Maasai.”
These cattle are sacred, bec
Step-by-step explanation:
Please help. I’ll mark you as brainliest if correct!
Answer:
The system is dependent:
x=-3t-7
y=-5t-15
z=t
Step-by-step explanation:
I chose to use a matrix to solve this system of equations. Once put into matrix form, you need to row reduce the system into its simplest form (Row Reduced Echelon form). Doing this, we find that the system is dependent on the z variable. And following usual procedures, we let z equal some other letter; which is t in this case. Then we isolate each variable to get the answer.
Check the attachment for the work.
[The arrows indicate a row swap and the parenthesis indicates addition if a constant multiple of one row to another]
please help!!
Use the equation e/4 = 12 to solve the following problem.
Maurice and three of his friends have a lemonade stand.
They want to make enough money so that, after splitting
the earnings evenly, each person earns $12. How much
does the lemonade stand need to make?
OA. $124
OB. $30
OC. $12
OD. $48
Answer:
Below
Step-by-step explanation:
Earnings, e, will be divided by 4 friends to equal 12
e/4 = 12 multiply both sides of the equation by 4
4 * e/4 = 12 * 4
e = 48
-) A freight train left Berlin and traveled
toward Johannesburg at an average speed
of 45 km/h. Sometime later a passenger
train left traveling in the same direction
but at an average speed of 72 km/h. After
traveling for ten hours the passenger train
caught up with the freight train. Find the
number of hours the freight train traveled
before the passenger train caught up.
4
Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.
let's call the time it took for the passenger train to catch up with the freight train "t" (in hours).
During this time, the freight train traveled at its average speed of 45 km/h for t + 10 hours, while the passenger train traveled at its average speed of 72 km/h for t hours.
We know that the distance both trains traveled is the same, since the passenger train caught up with the freight train. So, we can set up the following equation:
distance traveled by freight train = distance traveled by passenger train
\((45 km/h) x (t + 10 h) = (72 km/h) x t\)
Simplifying this equation, we get:
\(45t + 450 = 72t\)
\(27t = 450\)
t = 16.67 hours
Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.
To know more about hours, visit:
https://brainly.com/question/13533620
#SPJ1
Simplify (5 to the power of 1/3) to the power of 3
Answer:
C
Step-by-step explanation:
Multiply the exponents
Reduce the gcf
Hope ghis helps! :)
I'd really like the help with these problems please.
Thanks!
Express 4 250 000 000 000 in standard form
hi <3
standard form is written in the form a x 10^n
where a is a number between 1 and 10
in this case, you would get 4.25 x 10^12
hope this helps :)
I hate these plz help again
Answer and Step-by-step explanation:
We can eliminate answer choices 2 and 4, since the graphs are shading below the line, which means y is less than or less than or equal to the values.
The answer is the first answer choice.
This is because this inequality matches up with the graph.
Everything is shaded below, and y is less than, so it matches up.
3 is the y-intercept.
The slopes match up as well.
#teamtrees #WAP (Water And Plant)
A construction worker earns an average bi-weekly net pay of $1,764.00. Which compound inequality correctly shows the amount of money, t, the worker can spend if the monthly budget for food is between 10% and 20%?
$176.40 ≤ t ≤ $352.80
$352.80 ≤ t ≤ $706.50
$382.20 ≤ t ≤ $764.40
$420.42 ≤ t ≤ $573.30
The compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
A construction worker earns an average bi-weekly net pay of $1,764.00.
= 10% of 1764
= (10/100)1764
= $176.4
= 20% of 1764
= (20/100)1764
= $352.8
Inequality will be: $176.40 ≤ t ≤ $352.80
Thus, the compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ2
Answer:
$382.20 ≤ t ≤ $764.40
Step-by-step explanation:
Hello, so first we would need to convert bi-weekly pay to monthly income.
First we would times $1,764.00 by 26
1764.00 × 26 = 45864
Then we would divide 45864 by 12
45864 ÷ 12 = 3822.
Then we calculate how much the worker can spend if their monthly budget for food is in between 10% and 20%
3822 × 10% = 382.20
3822 × 20% = 764.40
So, we can see the correct answer is $382.20 ≤ t ≤ $764.40.
A railroad car container can hold 66,000 pounds. Mr. Evans wants to ship 80 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container. Each oven
weighs
300 pounds
Answer:
70 freezersStep-by-step explanation:
Each oven weights 300 pounds and there 80 ovens:
80*300 = 24000 poundsWeight left for freezers:
66000 - 24000 = 42000 poundsNumber of freezers could be added:
42000/600 = 70State wheather the given pair are complementary or not
The pairs of complementary angles are:
1) 36° and 54°
4) 23° and 67°
5) 5° and 85°
Which pairs of angles are complementary?Two angles A and B are complementary if the sum of the measures is equal to 90°.
For the given options, the 3 correct ones are:
1) 36° and 54°
The sum gives:
36° + 54° = 90°
So these are complementary.
4) 23° + 67° = 90°
These are also complementary.
5) 5° + 85° = 90°
These are also complementary.
Learn more about complementary angles at.
https://brainly.com/question/16281260
#SPJ1
What is the probability of
spinning a yellow?
[?]%
Answer:
12.5 %
Step-by-step explanation:
There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Help me please 60 points
The fails to dismiss the null hypothesis, so he's unable to conclude that there's enough proof to back up his faith that there are greater than \(30\)% coloured jelly beans for each bag.
What does probability mean in math's?Chance is simply how probable an event is to happen. If we are unsure of how an incident will come out, we might debate the probability of various outcomes, and how likely they are. The examination of occurrences regulated by probability is termed statistics.
Who is the father of probability?French mathematician as well as philosopher Blaise Pascal made significant contributions to many branches of mathematics. In correspondence with Fermat, he started working on conic sections as well as spatial geometrical and laid the groundwork again for probability theory.
To know more about bag visit:
https://brainly.com/question/15414285
#SPJ1
The p-value is not less than the significance level, Ramon fails to reject the null hypothesis.
What is null hypothesis?
In statistical hypothesis testing, the null hypothesis is a statement that there is no significant difference between two specified populations, or that a proposed relationship between two variables does not exist.
Ramon used the following null and alternative hypotheses:
H0: p = 0.30 (The proportion of blue jelly beans is 30%)
Ha: p > 0.30 (The proportion of blue jelly beans is greater than 30%)
Ramon calculated a p-value of 0.256, which is greater than his significance level of 0.1.
Since the p-value is not less than the significance level, Ramon fails to reject the null hypothesis.
Therefore, he does not have enough evidence to conclude that the proportion of blue jelly beans is greater than 30%.
To learn more about null hypothesis visit:
https://brainly.com/question/4436370
#SPJ1
how are the probability of an event and the probability of its complement related mathematically
The relation between the probability of its complement is that their sum is 1.
Complement in probability theory is an essential concept that helps us understand the likelihood of an event not occurring. It is a mathematical term that refers to the opposite or negation of an event.
Complement refers to the probability of an event not occurring, given the probability of it occurring. It is often denoted as the complement of an event A and is represented by A’.
The complement of an event A is defined as the set of all outcomes in the sample space that are not in A.
The probability of the complement of A is equal to the probability of all the outcomes in the sample space that are not in A.
The most important properties of the complement of an event is that the probability of an event and its complement always add up to 1. This is known as the law of complementary probability, and is expressed as:
P(A) + P(A’) = 1
This means that if we know the probability of an event occurring, we can easily calculate the probability of its complement by subtracting the probability of the event from 1.
For example, if the probability of event A is 0.7, then the probability of its complement, A’, is 1 – 0.7 = 0.3.
Hence the relation between the probability of its complement is that their sum is 1.
Learn more about probability click;
https://brainly.com/question/17256887
#SPJ1
Simplify by combining Like terms: m + 9 - 4m
Answer:
9-3m
Step-by-step explanation:
m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.
Due Tomorrow: Answer question 21 with steps
\(\\ \sf\longmapsto tan28=\dfrac{BC}{AC}\)
\(\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}\)
\(\\ \sf\longmapsto BC=29.3(0.5317)\)
\(\\ \sf\longmapsto BC=15.5mi\)
Now
\(\\ \sf\longmapsto AB^2=29.3^2+15.5^2\)
\(\\ \sf\longmapsto AB^2=848.49+240.25\)
\(\\ \sf\longmapsto AB^2=1088.74\)
\(\\ \sf\longmapsto AB=32.9mi\)
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
Learn more about distance between a point and a line on:
https://brainly.com/question/18276750
#SPJ1