PLEASE HELP SOSOSOSOSOS
Consider this system of equations
{10x + 13y + 15z = 4
{ 12x - 2y + 5z = - 8
{ 2x + 2y - 6z = 4
The system can be represented by the following matrix equation where A is a 3 x 3 matrix and ⇾b is a 3D vector
[ x
A [ y = ⇾b
[ z
Find A and ⇾b
The given system of equations can be represented in matrix form as:
| 10 13 15 | | x | | 4 |
| 12 -2 5 | x | y | = |-8 |
| 2 2 -6 | | z | | 4 |
Therefore, the matrix A is:
| 10 13 15 |
| 12 -2 5 |
| 2 2 -6 |
And the vector ⇾b is:
| 4 |
|-8 |
| 4 |
The temperature at the point (x,y) on a metal plate is
T=x/x2+y2
Find the direction of greatest increase in heat from the point (2, 5).
The direction of the greatest increase in heat from the point (2, 5) is in the direction of the vector (-21, -20).
To find the direction of the greatest increase in heat from point (2, 5), we need to find the gradient vector of the temperature function T(x,y) at that point, and then determine the direction in which the gradient vector points.
The gradient vector of T(x,y) is given by:
∇T(x,y) = (∂T/∂x)i + (∂T/∂y)j
where i and j are the unit vectors in the x and y directions, respectively.
Taking the partial derivatives of T(x,y) with respect to x and y, we get:
∂T/∂x = (x² - y²)/(x² + y²)²
∂T/∂y = -2xy/(x² + y²)²
Substituting x = 2 and y = 5, we get:
∂T/∂x = (4 - 25)/(29)² = -21/1681
∂T/∂y = -20/1681
Therefore, the gradient vector of T(x,y) at the point (2, 5) is:
∇T(2,5) = (-21/1681)i - (20/1681)j
The direction of the greatest increase in heat from points (2, 5) is in the direction of the gradient vector. We can normalize the gradient vector to get the unit vector in this direction:
u = (∇T(2,5))/|∇T(2,5)|
where |∇T(2,5)| is the magnitude of the gradient vector, given by:
|∇T(2,5)| = √((-21/1681)² + (-20/1681)²) = sqrt(841)/1681 = 1/41
Thus, the unit vector in the direction of greatest increase in heat from the point (2, 5) is:
u = (-21/1681i - 20/1681j)/(1/41) = -21i - 20j
Therefore, the direction of the greatest increase in heat from points (2, 5) is in the direction of the vector (-21, -20).
Learn more about direction at
https://brainly.com/question/13899230
#SPJ4
Last week, Austin's Diner sold 2 milkshakes with whipped cream on top and 23 milkshakes without whipped cream. What percentage of the milkshakes had whipped cream?
Answer:
8%
Step-by-step explanation:
You want to know what percentage of milkshakes had whipped cream if 2 had whipped cream and 23 didn't.
PercentageThe fraction of the total number that had whipped cream is ...
2/(2+23) = 2/25
The percentage is found by multiplying the fraction by 100%:
2/25 × 100% = 8%
8% of the milkshakes had whipped cream.
Tina bicycles for 2 hours at a constant speed, takes a break for 1 hour, and then continues to bicycle in the same direction for another
2 hours at the same speed she traveled previously. Which graph shows the total distance, d, in miles, Tina bicycles over t hours ?
Answer:
Step-by-step explanation:
To solve this problem, we can use the formula:
distance = rate x time
Since Tina bicycles at a constant speed, we can simplify the formula to:
distance = speed x time
For the first 2 hours, Tina bicycles at a constant speed, so the distance she travels is:
distance = speed x time = s x 2
After taking a 1-hour break, Tina continues to bicycle at the same speed for another 2 hours, so the distance she travels is:
distance = speed x time = s x 2
Therefore, the total distance Tina travels over the 5-hour period is:
total distance = 2s + 2s = 4s
This means that the total distance Tina bicycles is directly proportional to the speed at which she travels. In other words, if Tina travels twice as fast, she will cover twice the distance in the same amount of time.
With this in mind, we can eliminate choices (A) and (B), which show linear relationships between distance and time. Since Tina is traveling at a constant speed, the graph of her distance should be a straight line with a positive slope.
Choice (C) shows a straight line with a positive slope, but the slope is too steep. This graph would indicate that Tina is traveling at a much faster speed than she actually is.
Choice (D) shows a straight line with a positive slope that is not as steep as (C). This graph accurately represents Tina's constant speed and shows the increase in distance after the break. Therefore, the correct graph is (D).
Example
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
2. ) Commonly referred to as the average of all values.
3. ) Middle value in the set of data arranged in increasing or decreasing order.
4. ) Contains two modes.
5. ) Most frequently occurring score.
pls answer my grade dropped to 75 last grading pls answer correctly
The match of the given defines are any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude is Measure of central tendency, Commonly referred to as the average of all values is Mean, Middle value in the set of data arranged in increasing or decreasing order is Median, Contains two modes is Bimodal, Most frequently occurring score is Mode.
The identified match from the box to the given defines are the mean is the sum of all values divided by the total number of values. The median is the middle value when data is arranged in order.
The mode is the value that appears most frequently in a set of data. Bimodal refers to a distribution that has two modes. Finally, measure of central tendency refers to any method used to represent the center of a set of data.
To know more about mean:
https://brainly.com/question/31101410
#SPJ4
--The given question is incomplete, the complete question is given
" identify the following defines. and choose from below box:
mean, mode, median, measure of central tendency, bimodal
1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
2. ) Commonly referred to as the average of all values.
3. ) Middle value in the set of data arranged in increasing or decreasing order.
4. ) Contains two modes.
5. ) Most frequently occurring score.
pls answer my grade dropped to 75 last grading pls answer correctly"--
Wanda's first book was such a hit that she decided to do a follow-up. This one's called 101 Ways to Reinvent Leftovers.
Two publishers have offered to buy the book. The first has offered to pay her $70,000 up front and a $2 royalty for every book it sells. The second has offered to pay $40,000 up front and a $3.50 royalty for every book it sells. Over what range of sales will Wanda make more from the second deal than she will from the first deal?
So Wanda will make more money from the second deal than the first deal if she sells more than 20,000 books.
What is inequality?In mathematics, an inequality is a statement that two values or expressions are not equal. It describes a relationship that is either greater than, less than, or not equal to another value or expression. Inequalities are often represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).
Here,
To determine the range of sales for which Wanda would make more from the second deal than the first deal, we need to set up an inequality that compares the total earnings for each deal. Let's let x be the number of books sold.
For the first deal, Wanda will earn:
Total earnings = $70,000 + $2x
For the second deal, Wanda will earn:
Total earnings = $40,000 + $3.50x
We want to find the range of x values for which the second deal earns more than the first deal. Mathematically, we can express this as:
$40,000 + $3.50x > $70,000 + $2x
Subtracting $2x from both sides gives:
$40,000 + $1.50x > $70,000
Subtracting $40,000 from both sides gives:
$1.50x > $30,000
Dividing both sides by $1.50 gives:
x > 20,000
To know more about inequality,
https://brainly.com/question/30238773
#SPJ1
mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship
The equation that shows the relationship is w = 38m.
Writing an equation to show this relationshipIf Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:
w = km
where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.
We are given that k = 38, so we can substitute this value into the formula to get:
w = 38m
Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.
Read more about proportional relationship at
https://brainly.com/question/28651666
#SPJ1
You have 10 grades in your math class. After ordering them from least to greatest, this is the data set: {80, 82, 82, 83, 85, 88, 92, 95, 95, 96}. Which statement is true about the mode?
The mode is 95.
The mode is 82.
There are two modes: 82 and 95.
There is no mode
Answer:
82 and 95
Step-by-step explanation:
Most repeated
URGENT, PLEASE HELP, I'M WILLING TO GIVE 20+ POINTSS
Answer:
for the following question the answer will be
1/5=0.2 given as example
60%=0.6
50%=1/2
3/4=0.75
for 1/6 there os no answer for it the answer is 0.166
Little help please I think the answer is d 20 points
Which statement correctly explains the association of the scatter plot?
Responses
Since the y-values decrease as the x-values increase, the scatter plot shows a positive association.
Since the , y, -values decrease as the , x, -values increase, the scatter plot shows a positive association.
Since the y-values increase as the x-values increase, the scatter plot shows a negative association.
Since the , y, -values increase as the , x, -values increase, the scatter plot shows a negative association.
Since the y-values decrease as the x-values increase, the scatter plot shows a negative association.
Since the , y, -values decrease as the , x, -values increase, the scatter plot shows a negative association.
Since the y-values increase as the x-values increase, the scatter plot shows a positive association.
The scatter plot reveals a positive connection since the y-values grow as the x-values grow.
what is scatterplot ?An example of a graph that employs Cartesian coordinates to show values for two categories for a collection of data is a scatter plot, sometimes referred to as a scatter diagram. Each pixel in the data's representations is a point with a horizontal position (indicating the value of one variable) and a vertical displacement (representing the value of the other variable). In order to observe correlations among variables and spot patterns in the data, scatter plots is utilised. They are frequently employed in data processing, statistics, and academic studies.
given
The scatter plot reveals a positive connection since the y-values grow as the x-values grow.
To know more about scatter plot visit :-
https://brainly.com/question/30017616
#SPJ1
Solve for a and b: 2a - 3b=5 -3a+b=3
Answer:
a = -2 b = -3
Step-by-step explanation:
ballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballerballer
Solve the following equation in natural numbers: x^2-y^2=303
Pls Answer! I will give whoever get's it right more points!
The solution in natural numbers for the equation is x = 100 and y = 1.
What is natural number?The positive integers 1, 2, 3, 4, 5,... are known as "natural numbers." N stands for the set of natural numbers. Natural numbers are the building blocks of mathematical operations including addition, subtraction, multiplication, and division. They are also used to count objects. They make up a portion of the set of whole numbers, which also contains the natural numbers and 0 as well. There is no biggest natural number since the collection of natural numbers is endless and unbounded.
To determine the solution of the equation we use the difference of square identity given as:
(x + y)(x - y).
Now, for the given function we have:
(x - y)(x + y = 303
The two factors of 303 are 101 and 99.
Thus,
x + y = 101
x - y = 99
Adding the two equations we have:
2x = 200
x = 100
Now, for x = 100 the value of y is:
100 - y = 99
y = 1
Hence, the solution in natural numbers is x = 100 and y = 1.
Learn more about natural numbers here:
https://brainly.com/question/17429689
#SPJ1
PROBLEM SOLVING A wire is bent to form four semicircles. How long is the wire to the nearest hundredth? Justify your answer.
According to the nearest hundredth, the length of the wire in the photograph is 200 cm.
What in mathematics is a semicircle?
By dividing a circle into two halves along a diameter line, a semicircle is created, which is a half-circle.
The wire will be cut into four semicircles, each of which will have a circumference equal to its length.
Therefore, if one semicircle has a diameter of 32 cm, its radius is 32/2 cm, or 16 cm.
Right now, a circle's circumference equals 2*(pi)*(radius).
Since this is a semicircle, its circumference is equal to (pi)*(radius), or one-half of a circle.
The circumference of four semicircles is then equal to four * pi * radius.
Pi has a value of 22/7.
Thus, the length of the wire is 4*(22/7)*16 cm, which, when rounded to the nearest hundredth, is 200 cm.
Visit this link to learn more about Semicircle: brainly.in/question/16713555
#SPJ1
Hence, 201 [tex]cm^{2}[/tex] long is the wire to the nearest hundredth.
What is the semicircle?In mathematics, a semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180°. It has only one line of symmetry.
What is the circumference?In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure .
In other words ,The meaning of circumference is the distance around a circle or any curved geometrical shape. It is the one-dimensional linear measurement of the boundary across any two-dimensional circular surface.
According to figure
diameter of all semi circle (d) = 32 cm.
so radius of all semi circle r = [tex]\frac{32}{2}[/tex] = 16 cm.
length of wire = circumference of semicircle =
⇒ total length length of wire = 4 * circumference of semicircle
{∵ no. of semicircle=4
∴ total length length of wire = 4 * [tex]\pi*r[/tex]
∴ total length length of wire = 4 *3.14*16 {we know that , [tex]\pi=3.14[/tex]
∴ total length length of wire =200.96[tex]cm^{2}[/tex] ≅ 201[tex]cm^{2}[/tex]
learn more about Cicumference here:
https://brainly.com/question/20489969
#SPJ1.
3. Find the area of the shape below. Break
the larger shape into smaller pieces if needed.
8.4m
4m
11.4m
8m
ak direst
boyut ved FI
So, the area of the shape is 164.4 square meters.
What is area?In geometry, area is the measure of the size of a two-dimensional surface or region. It is the amount of space inside the boundaries of a flat object such as a polygon, circle, or rectangle. Area is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on. To calculate the area of a shape, you typically need to use a specific formula depending on the type of shape, such as base times height for a triangle, or length times width for a rectangle.
Here,
The area of the shape is equal to the sum of the areas of these smaller pieces. We can calculate each area as follows:
The area of the rectangle on the left is 4m x 8.4m = 33.6 square meters.
The area of the rectangle on the right is 8m x 11.4m = 91.2 square meters.
The area of the triangle on the top is (8.4m x 4m) / 2 = 16.8 square meters.
The area of the triangle on the bottom is (11.4m x 4m) / 2 = 22.8 square meters.
Therefore, the total area of the shape is:
33.6 + 91.2 + 16.8 + 22.8 = 164.4 square meters
To know more about area,
https://brainly.com/question/30106292
#SPJ1
Please help this is due today
Using multiplication we know that after 141 min there will be 400,000 bacteria present.
What is multiplication?One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.
A product is the output of a multiplication operation.
When you take a single number and multiply it by several, you are multiplying.
A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).
We multiplied the number five by four times.
Multiplication is commonly referred to as "times" because of this.
So, in the given situation:
At the initial stage, the number of bacteria is: 50,000
Then, after 47 min: 50,000 * 2 = 100,000
Then, after 47 min which is after 94 min: 100,000 * 2 = 200,000
Then, after 47 min which is after 141 min: 200,000 * 2 = 400,000
Therefore, using multiplication we know that after 141 min there will be 400,000 bacteria present.
Know more about multiplication here:
https://brainly.com/question/10873737
#SPJ1
Calculate the size of angle 0.
Give your answer to the nearest degree.
In the given triangle, using the law of Cosines, the value of angle θ is 103°
Law of Cosines: Calculating the value of an angleFrom the question, we are to calculate the value of angle θ in the diagram.
From the given diagram,
We have a triangle ABC with given side lengths
From the given information,
a = 42 cm
b = 78 cm
c = 57 cm
From the law of Cosines, we have that
cos B = (a² + c² - b²)/2ac
Thus,
cos θ = (a² + c² - b²)/2ac
Substitute the parameters
cos θ = (42² + 57² - 78²)/2(42)(57)
cos θ = (1764 + 3249 - 6084) / (4788)
cos θ = -1071/4788
θ = cos⁻¹(-1071/4788)
θ = 102.9255
θ ≈ 103°
Hence, the value of θ is 103°
Learn more on Law of Cosines here: https://brainly.com/question/28022160
#SPJ1
pls explain how to do this math and answer it pls
Answer: A.
Step-by-step explanation: It is parallel because of the angles that are the same and if u fill all the angles up angles 2 and 6 will be congruent there fore its parallel
Answer:
A. Yes, because angles 2 and 6 are congruent.
Step-by-step explanation:
The lines arent touching, parallel. Angles 2 and 6 share the same angle, congruent.
Compare these rational numbers. Which of the following are true?
i. -2.3 - 1.3
ii. -2.3 -1.3
iii. -2.3> - 3.3
iv. -2.3 -3.3
a.ii and iv
b.ii and iii
c.i and iii
d.i and iv
The correct options for the given rational numbers are (a) ii and iv.
What are rational numbers?P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. The natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.
To compare the rational numbers, we need to perform the given operations and determine their relative magnitudes:
i. -2.3 - 1.3 = -3.6
ii. -2.3 -1.3 = -3.6
iii. -2.3 > -3.3
iv. -2.3 -3.3 = -5.6
Comparing i and ii, we see that they are equal. Therefore, both options i and ii are true.
Comparing iii, we see that -2.3 is greater than -3.3. Therefore, option iii is true.
Comparing iv, we see that -5.6 is less than both -2.3 and -3.3. Therefore, option iv is false.
So, the correct options are (a) ii and iv.
Learn more about rational numbers on:
https://brainly.com/question/17572421
#SPJ1
Find the value of X. If a segment looks like a tangent, it is a tangent
Using the laws of outside angle, we can find the value of the angle x° to be = 77°.
Define outside angle theorem?The measure of an exterior angle is equal to the sum of the measures of the two distant interior angles of the triangle, according to the external angle theorem. According to the exterior angle inequality theorem, any triangle's outside angle has a measure bigger than either of its opposing interior angles.
Here in the question,
The measure of the 2 arcs is given as 85° and 172°.
The measure of the 3rd arc that is subtended by the tangents is:
360° - 85° - 172°
= 103°
As per the outside angle theorem,
x° = 180° - 103°
= 77°
To know more about outside angle theorem, visit:
brainly.com/question/31507659
#SPJ1
how many tickets of each type were sold ?
Answer:
Let's use a system of equations to solve the problem.
Let x be the number of regular admission tickets sold, and y be the number of fast pass tickets sold.
From the problem, we know that:
x + y = 104 (equation 1)
and
8x + 22y = 1280 (equation 2)
We can use equation 1 to solve for x in terms of y:
x = 104 - y
Substituting this expression for x into equation 2, we get:
8(104 - y) + 22y = 1280
Simplifying and solving for y, we get:
832 - 8y + 22y = 1280
14y = 448
y = 32
So the student sold 32 fast pass tickets.
To find the number of regular admission tickets sold, we can substitute y = 32 into equation 1 and solve for x:
x + 32 = 104
x = 72
So the student sold 72 regular admission tickets.
Therefore, the student sold 72 regular admission tickets and 32 fast pass tickets.
Below is the table of values of a function. Write the output when the input is n.
input
output
3
7
8
n
output
6
14
16
*blank*
Answer:
input output
3 7
8 16
n blank
Step-by-step explanation:
we can see that the function's output is twice the input plus one. Therefore, when the input is 6, the output will be 2 * 6 + 1 = 13. When the input is 14, the output will be 2 * 14 + 1 = 29. However, since the output for the input value "n" is not given in the table, we cannot determine the output for that input.
I hope it helps you
A basketball player was successful on 18 out of his 24 last free throws attempts. If he attempts 20 free- throws in the next game, about how many will he make if the ratio is the same as the first game?
He needs to make 15 throws if the ratio is the same as the first game
From the question, we have the following parameters that can be used in our computation:
Player was successful on 18 out of his 24 last free throws attempts
Using the above as a guide, we have the following:
Proportion = 18/24
For the number of games, we have
Throws made = Proportion * Number of throws
Substitute the known values in the above equation, so, we have the following representation
Throws made = 18/24 * 20
Evaluate
Throws made = 15
Hence, the number of throws made is 15
Read more about proportion at
https://brainly.com/question/1781657
#SPJ1
how is this answer wrong?
Answer:
its taking the immage on the right and moving it ounter clockwise 90°
1. (07.01 MC) Masha solved an equation, as shown below: Step 1: 8x = 64 Step 2: x= 64 – 8 Step 3: x = 76 Part A: Is Masha's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points) Part B: How many solutions does this equation have? (4 points)
(1) The right solution of given equation is 8.(2)The equation 8x = 64 has only one solution
What is an Equation means ?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Part A: Masha's solution is incorrect.
In Step 2, Instead of dividing 64/8 she did mistake she subtract 64 by 8
So, the correct step to solving this equation is
8x = 64
x = 64/8
x=8
Hence the right solution of given equation is 8
Part B: The equation 8x = 64 has only one solution, which is x = 8. This is because there is only one value of x that satisfies the equation.
Learn more about equation here
https://brainly.com/question/29657983
#SPJ1
(1) The right solution of given equation is 8.
(2)The equation 8x = 64 has only one solution
What is an Equation means ?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Part A: Masha's solution is incorrect.
In Step 2, Instead of dividing 64/8 she did mistake she subtract 64 by 8
So, the correct step to solving this equation is
8x = 64
x = 64/8
x=8
Hence the right solution of given equation is 8
Part B: The equation 8x = 64 has only one solution, which is x = 8. This is because there is only one value of x that satisfies the equation.
Learn more about equation here
brainly.com/question/29657983
#SPJ1
WILL MARK BRAINLIEST!!
A number pattern is shown below.
Please create an equation for the pattern, and find what the difference between the last number in row 6 and the first number in row 6 is. Show or explain your work.
The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is 10
How to solveTo find the equation for the pattern, let's first observe the pattern in the given rows:
Row 2: 8 10 (difference = 2)Row 3: 15 17 19 (difference = 2)Row 4: 24 26 28 30 (difference = 2)Row 5: 35 37 39 41 43 (difference = 2)We notice that the difference between the consecutive numbers in each row is 2.
Now let's observe the first number in each row:
Row 2: 8 (24)Row 3: 15 (35)Row 4: 24 (46)Row 5: 35 (57)It seems that the first number in each row can be calculated by multiplying the row number by (row number + 2). So, for row 6, the first number would be:
6 * (6 + 2) = 6 * 8 = 48
Now let's calculate the remaining numbers in row 6:
Row 6: 48 50 52 54 56 58 (difference = 2)
The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is:
58 - 48 = 10
Read more about equations here:
https://brainly.com/question/22688504
#SPJ1
What is 143,246 rounded to the 3rd significant figure?
1. 76x8. 2. 84x9
3. 68x4
4. 32x6 PART 1
5. 59x7
6. 74x8
7. 68x8
8. 95x9
9. 84x5
10. 22x4
11. 48x5
12. 84x8
13. 76x9
14. 89x9
15. 63x5
16. 32x9
17. 63x8
18. 79x9
19. 78x5
20. 49x4
21. 94x6
The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
1. 76 x 8 = 608
2. 84 x 9 = 756
3. 68 x 4 = 272
4. 32 x 6 = 192
PART 2
5. 59 x 7 = 413
6. 74 x 8 = 592
7. 68 x 8 = 544
8. 95 x 9 = 855
9. 84 x 5 = 420
10. 22 x 4 = 88
11. 48 x 5 = 240
12. 84 x 8 = 672
13. 76 x 9 = 684
14. 89 x 9 = 801
15. 63 x 5 = 315
16. 32 x 9 = 288
17. 63 x 8 = 504
18. 79 x 9 = 711
19. 78 x 5 = 390
20. 49 x 4 = 196
21. 94 x 6 = 564
Therefore, The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564
To learn more about arithmetic sequence from the given link:
https://brainly.com/question/15412619
#SPJ4
A scatter plot displays _____ on a graph that shows the relation between two variables.
A scatter plot is a graphical representation of a set of data points that displays the relationship between two variables.
How to solve the question?
The plot uses a Cartesian coordinate system, with one variable plotted on the x-axis and the other on the y-axis. Each data point is represented by a dot, with its location on the plot determined by its values for the two variables. The pattern of the dots on the plot gives insight into the relationship between the two variables.
Scatter plots are useful for visualizing the strength and direction of a relationship between two variables. A positive relationship between the variables means that as one variable increases, the other variable also increases. In contrast, a negative relationship means that as one variable increases, the other variable decreases. A scatter plot can also help to identify any outliers or unusual data points.
Scatter plots can be used to analyze many types of data, including scientific data, financial data, and social data. They can be used to identify trends, correlations, and patterns that might not be immediately apparent from a simple numerical analysis of the data. Scatter plots are a valuable tool for data analysis and visualization, and are widely used in scientific research, data analysis, and data-driven decision making.
To know more about graph visit :-
https://brainly.com/question/19040584
#SPJ1
HELP!!!! I WILL GIVE YOU BRAINIEST
Answer:
Distant with current is 30, distance against current is 24.
Rate with current is 6, rate against current is 4.
Time with current is 8 hours, time against current is 14
Step-by-step explanation:
2nd question answer: 24 - 6x = 8.
Identify the side lengths of the following triangle.
The side lengths of the triangle are CA = 42.0 and BC = 36.4
Identifying the side lengths of the triangle.From the question, we have the following parameters that can be used in our computation:
The triangle
Using the tangent rratio, we have
tan(60) = BC/21
So, we have
BC = 21 * tan(60)
Evaluate
BC = 36.4
Next, we have
CA = √[36.4^2 + 21^2] -- pythagoras theorem
Evaluate
CA = 42.0
Hence, the side lengths are CA = 42.0 and BC = 36.4
Read more about right triangles at
https://brainly.com/question/2437195
#SPJ1