On solving the provided question, we can say that the linear equation are 3y - 2x = -9 and y = -2x +5 => 3(-2x +5) - 2x = -9 => x = 3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the linear equation are
3y - 2x = -9 and y = -2x +5
3(-2x +5) - 2x = -9
-6x + 15 -2x = -9
-8x = -24
x = 3
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A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 8 above 10 to 19, up to 6 above 20 to 29, up to 2 above 30 to 39, and up to 2 above 50 to 59. There is no shaded bar above 40 to 49.
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 22.7 is the most accurate to use to show that they have plenty of money.
The mean of 20 is the most accurate to use to show that they need more money.
The median of 20 is the most accurate to use, since the data is skewed.
The mean of 22.7 is the most accurate to use, since the data is skewed.
The solution is Option D.
The median of the data is A = 20 and the mean of the data is M = 22.7
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M
Let the median of the data be represented as A
Now , the equation will be
The list of donations is represented as set D
Set D = { 10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55 }
Now , the mean M is = 10 + 10 + 10 + 10 + 15 + 15 + 15 + 19 + 20 + 20 + 20 + 25 + 25 + 25 + 30 + 30 + 55 + 55 / 18
The mean M = 409 / 18
On simplifying the equation , we get
The mean M = 22.722
Now , the median of the data is A = 20
Hence , the mean is 22.7
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The median of 20 is the most accurate to use, since the data is skewed.
The most accurate measure of center to use in this case is the median of 20. This is because the data is skewed, with a few high-value donations (such as the two donations of 55 dollars) that pull the mean up. However, most of the donations are clustered around 10 to 20 dollars. As a result, the median, which is the middle value when the data is sorted in order, is a better representation of the "typical" donation amount.
In this case, the median is 20, which means that half of the donations were less than 20 dollars and half were more. This is a more accurate representation of the central tendency of the data than the mean of 22.7, which is influenced by the high-value donations. Therefore, the charity should use the median of 20 to accurately represent the typical donations received.
A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to the nearest tenth of a foot.
The length of the ladder needed to reach the window to the nearest tenth of a foot is option (a). 17.0 feet.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given,
Length of the moat = 8 feet
Height of the window from the ground = 15 feet
Using the concept of right triangle, from the figure, length of the moat is the base and height of the window is the altitude.
Length of the ladder is the hypotenuse.
By Pythagoras theorem,
Length of the ladder = [tex]\sqrt{8^{2}+15^2 }[/tex] = [tex]\sqrt{289}[/tex] = 17
Hence the length of the ladder is 17.0 feet to the nearest tenth of a foot.
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Which of the following is a statistical question that can result in numerical data?
How many letters are in your first name?
How many hours do you practice your musical instrument each week?
How many books do the students in your class read each month?
Who is your favorite cartoon character?
Answer:
Step-by-step explanation:
Statistical questions are questions that can be answered by collecting, analyzing, and summarizing numerical data. The data can then be used to make inferences, predictions, and draw conclusions.
In the context of statistical analysis, numerical data refers to data that can be measured and expressed as a number. For example, the number of hours someone spends practicing a musical instrument each week, or the number of books a student reads each month.
On the other hand, questions such as "Who is your favorite cartoon character?" cannot be answered with a number and therefore are not statistical questions. The answer to this type of question is qualitative or categorical data and can not be analyzed numerically.
It's important to note that while the questions that result in numerical data are often statistical questions, not all questions that result in numerical data are necessarily statistical questions. For example, the number of letters in someone's first name is a numerical piece of information, but it does not involve collecting and analyzing data to make inferences or draw conclusions.
Answer:2)How many hours do you practice your musical instrument each week.
Step-by-step explanation:
"How many hours do you practice your musical instrument each week?" is a statistical question that can result in numerical data.
This is a statistical question because it involves a numerical variable ("hours practiced per week"), which can be measured and quantified.
How much interest will you earn if you deposit $2,700.00 into a simple interest account at 6.25% per annum for 3 years?
Answer:
Step-by-step explanation:
TEP 1: Find an interest by using the formula , I=P.i.t where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this examplee P = $2700, i = 6.25% and t = 3 years, so
I=506.25
STEP 2: Find an amount by using the formula . A= P+I
Since P = $2700 and I = $506.25 we have,
A=I+P
A=3206.25
is 68/33 rational or irrational
Answer:
Given value is Rational. The value is 2.06
Step-by-step explanation:
Answer: Rational.
Step-by-step explanation:
An irrational number is one that terminates forever, and cannot be expressed as a fraction. 68/33 is a fraction, therefore it's rational. Irrational can be values like pi, which do not have a ratio form (e.g. fraction).
I will give brainliest and ratings if you get this correct
find derivative of e^(e^x)
use chain rule to find d/dx of e^x is e^x.
so chain rule finds the value e^(e^x) d/dx = e^(e^x) x e^x
simplify to e^[(e^x)+x]
PLEASE HELP WITH ALL PARTS ILL GIVE 80 POINTS ABC is graphed below.
22 Part A
What are the midpoints of AB and BC? Enter your answers as ordered
23. Part B
What is the length of AC? Provide your answer as a radical.
What is the slope of AC?
25, Part D
Darlene claims that the line segment connecting the midpoint
and is half the length of AC. Explain whether Darlene is correct or not
The midpoint and length of the sides of the triangle can be presented follows
22 Part A
Midpoint of [tex]\overline{AB}[/tex] = (3, 5)
Midpoint of [tex]\overline{BC}[/tex] = (6, 4)
23 Part B
Length of [tex]\overline{AC}[/tex] is 2·√(10)
Slope of [tex]\overline{AC}[/tex] is -1/3
25 Part D
According to the midsegment theorem, Darlene is correct
What is the midpoint of a line segment?The midpoint of a segment divides the segment into two same length segments.
22 Part A
The midpoint, ([tex]x_m[/tex], [tex]y_m[/tex]) between points (x₁, y₁), (x₂, y₂) of a segment can be found as follows;
[tex]x_m[/tex] = (x₁ + x₂)/2, [tex]y_m[/tex] = (y₁ + y₂)/2
The coordinates of the points in the triangle are; A(2, 2), B(4, 8), and C(8, 0)
The midpoint of [tex]\overline{AB}[/tex] = ((2 + 4)/2, (2 + 8)/2) = (3, 5)The midpoint of [tex]\overline{BC}[/tex] = ((4 + 8)/2, (8 + 0)/2) = (6, 4)23 Part B
The length of a segment with boundary points (x₁, y₁), (x₂, y₂) is the distance between the points (x₁, y₁), (x₂, y₂), which is found using the following distance formula for finding the distance, d, between points;
d = √((x₂ - x₁)² + (y₂ - y₁)²)The length of the segment [tex]\overline{AC}[/tex] is the distance between the points A(2, 2), and C(8, 0), which is found as follows;
Where;
(x₁, y₁) = (2, 2) and (x₂, y₂) = (8, 0), we get;
Length of [tex]\overline{AC}[/tex] = √((8 - 2)² + (0 - 2)²) = √(6² + (-2)²) = √(40)
Length of [tex]\overline{AC}[/tex] = √(40) = 2·√(10)The slope of a line, m = (y₂ - y₁)/(x₂ - x₁)
The slope of [tex]\overline{AC}[/tex] = (0 - 2)/(8 - 2) = -2/6 = -1/325 Part D
The length of the line segment connecting the midpoint can be found using the distance formula as follows;
The defining points on the line segment are (3, 5) and (6, 4)Therefore;
Length of the line segment connecting the midpoint = √((6 - 3)² + (4 - 5)²) = √(10)
Length of [tex]\overline{AC}[/tex] = 2·√(10)Therefore, Darlene is correctThe line segment connecting the midpoint is half the length of [tex]\overline{AC}[/tex], which is stated in the midsegment theorem
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Which of the following is not an example of a quadratic equation in real life?
A.The curve of hanging electrical wires
B.The path of a boat
C.The yellow arches of a big M
D.The path of a tennis ball
E.The path of a human cannonball
The yellow arches of a big M is not an example of a quadratic equation in real life.
What is quadratic equation ?
Quadratic equation can be defined as equation in which it is in the form of ax^2+bx+c = 0
where c is constant.
A quadratic equation is an equation in which the highest power of the variable is 2. In real life, many phenomena can be modeled by quadratic equations, such as the curve of hanging electrical wires, the path of a boat, the path of a tennis ball, and the path of a human cannonball.
However, the yellow arches of a big M is not a mathematical equation or a physical phenomenon that can be described by a quadratic equation. The arches are simply a design element of the McDonald's logo.
Therefore, The yellow arches of a big M is not an example of a quadratic equation in real life.
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Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire.
A) Write the equation of the line that represents your annual costs based on how many tires you make. Be sure to label you variables.
B) How many tires do you need to sell to break even if you sell them for $89 per tire.
In economics, business, and notably cost accounting, the break-even point (BEP) is the point at which total costs and total revenues are equal, or "even" and we need to sell a total of 1967 tires at the price of $89 to break even.
What is break even?
The break-even point (BEP) is the point at which total costs and total revenues are equal, or "even," in economics, business, and particularly cost accounting.
Although opportunity costs have been paid and capital has received the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
In other words, all necessary expenses are covered, and neither a profit nor a loss is realized.
So, for the break-even:
= 175000/89
= 1,966.29
Rounding off: 1967
Therefore, we need to sell a total of 1967 tires at the price of $89 to break even.
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Correct question:
Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire. How many times do you need to sell to break even if you sell them for $89 per tire?
Determine three distinct points on the line 2 x+2 y=32. Enter your points as ordered pairs (x, y)(x,y) separated by commas.
Graph the line 2 x+2 y=32x by plotting two of the points you found on the line.
What is the slope of the line 2 x+2 y=32
What does the slope say about the relationship between the lengths and widths of rectangles with perimeter 32?
The distinct points are (1, 15), (2, 14) and (3, 13)
The slope implies that as the length increases by 1, the width decreases by 1
How to determine the distinct pointsFrom the question, we have the following parameters that can be used in our computation:
2x + 2y = 32
Divide by 2
So, we have the following representation
x + y = 16
Make y the subject
y = 16 - x
Set x = 1, 2 and 3
So, we have
y = 16 - 1 = 15
y = 16 - 2 = 14
y = 16 - 3 = 13
So, the points are (1, 15), (2, 14) and (3, 13)
The slope is calculated as
y = mx + c
Where m = slope
When compared, we have
slope = -1
This means that as x increases, y decreases
The graph is attached
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The Tour de France is a 2,235 mile long distance bicycle
race that goes through all of France. So far, Haley has
ridden fifteen miles of one mostly uphill stage of the Tour
de France. She rides thirteen miles per hour during this
stage.
Define units for the additional time Haley rides and
the distance Haley rides.
1. How far will Haley have ridden after an additional 120
minutes?
2. Haley grabs a new water bottle from volunteers after six
hours. How far has she traveled?
Enter a variable for the additional time Haley rides and
use this variable to write an expression for the
distance Haley rides.
Quantity Name
Unit
Question 1
Question 2
Expression
Additional Time Distance Haley
Haley Rides
Rides
hours.
miles
2
6
Answer:
Step-by-step explanation:
given f(x) = 3x^3+kx+9, and the remainder when f(x) is divided by x+2 is -17, then what is the value of k?
Answer:
1
Step-by-step explanation:
f(x) = 3x^3+kx+9, and the remainder when f(x) is divided by x+2 is -17, then what is the value of k=1
I need help with number 9, please.
8. The center and radius of the circle given the following equation:
(x + 4)^2 + (y - 2) ^ 2 = 5 is
c. center (-4, 2) radius: 59. The equation for the circle is
a. (x + 5)^2 + (y + 2)^2 = 910. The length of arc AB is
b. 4πHow to determine the equation the circleInformation given in the question
a circle whose equation is (x + 4)^2 + (y - 2) ^ 2 = 5
Equation of a circle is given as:
(x - h)² + (y - k)² = r²
Where
r = radius
h and k are coordinates of the center
x and y is the coordinate of point on the circumference
The equation of the circle is compared with the given equation and this shows that
center (-4, 2) radius: 5Using the graph the centers are (-5, -2) and the radius is 3, this will give equation (x + 5)² + (y + 2)² = 3²
If angle ACB = 60 deg and the radius is 12 cm, length of arc
= 60 / 360 * 2 * π * 12
= 4π
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question is in the picture
The formula of the area of the trapezium as subject to x is,
x = 2A/h - y.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
The area of the trapezium,
A = (1/2)h(x + y)
To make x the subject of the equation:
2A/h = (x + y)
2A/h - y = x
x = 2A/h - y
Therefore, the formula is x = 2A/h - y.
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A pharmaceutical company is carrying out
a trial for a new flea prevention
medication that is designed to work for
dogs or cats. They recruit pet owners and
ask them what flea prevention they
currently use. They randomly assign half of
the dogs in the study to the new flea
prevention medication, and the other half
of the dogs in the study will receive their
current prevention. A similar process is
carried out with the cats in the study.
What type of experiment design is this?
Choose 1 answer:
A
B
A randomized block design where the
pet types (dogs and cats) are the blocks
A systematic cluster design
A matched pairs design where the new
and existing flea medications are the pair
In the experiment in which researcher randomly assign half of the dogs in the study to the new flea prevention medication, and the other half of the dogs in the study will receive their current prevention, this type of experiment design is a randomized block design where the pet types (dogs and cats) are the blocks.
What is randomized block design in experiment design?Randomized block design is a type of experimental design that is used to control for the effects of extraneous variables. It involves dividing the subjects or treatments into groups, or blocks, that are similar with respect to the extraneous variable.
These blocks are then randomly assigned to the treatments being tested. By controlling for the extraneous variable in this way, the randomized block design can reduce error and increase the accuracy of the results.
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Answer:
answer B (Khan)
Step-by-step explanation:
A randomized block design where the pet types (dogs and cats) are the blocks
4 x 9.5 using distributive method
Answer: 38
Step-by-step explanation:
4 x 9.5 can also be seen as 2 (2 x 4.75)
To solve this,
1) 2 x 2 = 4
2) 2 x 4.75 = 9.5
4 x 9.5 = 38.
Simple ways without distributive property is just 4 x 9.5 which is equal to 38.
If it is like 4(9.5) then the answer would be 4 * 9.5 which is 38. But if you were asking about this, 4(9 + 5) then these would be the steps.
So, distributive property is A(B + C) so A = 4 and B = 9 and C = 5.
So the setup would be 4(9 + 5).
And in order to solve this we have to distribute the 4 to 9 and 5. And after that, we remove the parenthesis. So, we get 36 + 20. And that would equal 56. So,
Answer = 56or
Answer = 38
Find the value of each variable. Round to the nearest tenth, if necessary.
The values are a = 16.69, c=16.68 ad m∠C = 22.07°.
What are trigonometric ratios?
Trigonometric ratios are mathematical functions that describe the relationship between the angles and sides of a right triangle. The three main trigonometric ratios are the sine, cosine, and tangent.
In the given figure, by using trigonometric ratios, we can find
sin68° = a/18
18 sin 68° = a
Using a calculator, we can find that sin 68° is approximately 0.9272. Multiplying 18 by 0.9272 gives us:
a ≈ 16.69
Therefore, a is approximately 16.69.
cos68° = c/18
18 cos 68° = c
Using a calculator, we can find that cos 68° is approximately 0.3714. Multiplying 18 by 0.3714 gives us:
c ≈ 6.68
Now
sinC = c/18
[tex]C = sin^{-1}(\frac{6.68}{18})\\\\C = sin^{-1}(0.3714)\\\\C = 22.07\degree[/tex]
Hence, the values are a = 16.69, c=16.68 ad m∠C = 22.07°.
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Name one pair of congruent sides. A. Segments PR and SV B. Segments QR and ST C. Segments RP and TS D. Segments PQ and VS
Answer:
Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.
#1 Congruent Angle
#2 Congruent Sides
#3 Side Angle Side
I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
NEED HELP ASAP PLEASE! What is the equation of the function shown in the table?
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
A: y = -2 x + 1
B: y = 2 x + 1
C: y = 2 x - 2
D: y = - 1/2x - 1
The equation of the function shown in the table is y=2x +1, the correct option is B.
What is the equation of a line passing through two given points in 2 dimensional plane?Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
We are given that;
The x and y of the function
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
Now,
The general equation of line
y=mx+c
Here, m= 5-3/2-1
m=2
Substituting the value of m in general equation.
y=2x +1
Therefore, the equation of line will be y=2x +1
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Which graph represents the function f(x) = |x + 31?
O
5-
3
2-
vou
4-
-6-5-4-3-2-1₁.
-2-
-3+
-4-
கள்
-61
CÒ
2 3 4 5
+
X
x
The solution is, the equation of the line is y = 2x/3 + 2, that is, The correct option is A.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept(This is the point where the line cut across the y axis.
The first step is to find the slope. The formula is
Slope, m = (y2 - y1)/(x2 - x1)
From the given points on the graph,
when x1 = 0, y1 = 2
when x2 = 3, y2 = 4
m = (4 - 2)/(3 - 0)
m = 2/3
Looking at the graph, at the point where the line cuts the y axis, y = 2. Thus, c = 2
We would substitute m = 2/3 and c = 2 into the slope intercept equation. Thus, the equation of the line is
y = 2x/3 + 2
The correct option is A.
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Consider the problem: Minimize cx subject to Ax >= b, x >= 0. Suppose that one component of the vector b, say bi, is increased by one unit to bi + 1. a. What happens to the feasible region? b What happens to the optimal objective value?
A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.
B) If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.
In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.
Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.
Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.
To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.
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Which statistic (mean, median, or mode) is most appropriate in each of the following situations?
The offensive line of a football team is larger than the previous years. The program will list a statistic to show this fact.
• Mean
• Median
• Mode
Answer:
Step-by-step explanation: In this situation, mean would be the most appropriate statistic to show the increase in the size of the offensive line of the football team. The mean is a measure of central tendency that takes into account all the values in a set and calculates the average, giving a good representation of the general trend of the data. The mean size of the offensive line can be calculated by adding up the size of all the players and dividing by the number of players. This would give a good idea of the overall increase in the size of the offensive line.
Her little sister's birthday is next week, so Brittany is planning a bubble-themed birthday party! She buys a big bottle of bubble solution and divides it equally among 6 small bottles. Each small bottle holds 1/8 of a gallon of bubble solution.
Use an equation to find the amount of bubble solution in the big bottle.
There is 3/4 of a gallon of bubble solution in the big bottle.
What is an equation?
In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equal sign (=). An equation contains one or more variables, which are symbols that represent unknown values, and may also contain constants, coefficients, and arithmetic operations such as addition, subtraction, multiplication, and division.
Let's use "x" to represent the amount of bubble solution in the big bottle, in gallons.
According to the problem, the big bottle was divided equally among 6 small bottles, and each small bottle holds 1/8 of a gallon of bubble solution. Therefore, the total amount of bubble solution in the big bottle is equal to the sum of the amounts in the 6 small bottles:
x = 6 * (1/8)
Simplifying the right-hand side of the equation, we get:
x = 3/4
Therefore, there is 3/4 of a gallon of bubble solution in the big bottle.
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Please help me with this equation
Find the perimeter of the trapezoid round to the nearest tenth
The perimeter of the trapezoid is 49.4.
What is trapezium?A trapezium is a quadrilateral with four sides where two sides are parallel to each other.
We have,
From the graph,
Height = 12 units
Parallel sides = 9 units and 15 units
Now,
Another side = x
Using Pythagorean theorem.
x² = 6² + 12²
x² = 36 + 144
x² = 180
x = √180
x = 13.42
Now,
The perimeter of the trapezoid.
= 12 + 13.42 + 9 + 15
= 49.42
= 49.4
Thus,
49.4 is the perimeter of the trapezoid.
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A. SSS
B. Neither
C. SAS
#
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These triangles
are congruent by
the triangle
congruence
postulate [? ].
The congruence theorem that justifies the congruence of the two triangles is given as follows:
A. SSS.
What is the SSS congruence theorem?
The Side-Side-Side (SSS) congruence theorem states that three sides of a triangle are equivalent to the corresponding three sides of the another triangle, then the two triangles are said to be congruent by SSS rule.
In this problem, we have that:
The | and || sides are equivalent.The bisection belongs to both triangles.Hence the triangles are congruent by the SSS postulate and the correct option is given by option A.
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Si en dos horas y media un motociclista ha cubierto una distancia de 320 kilómetros. ¿Ha superado el límite de velocidad previsto, que es de 80 km/h?
La velocidad promedio del motociclista es 128km/h, entonces si, supera el limite de velocidad previsto.
¿Ha superado el límite de velocidad previsto, que es de 80 km/h?Sabemos que podemos definir la velocidad como el cociente entre distancia y tiempo, en este caso sabemos que:
distancia = 320km
tiempo = 2.5 h.
Entonces la velocidad será:
v = 320km/2.5 h = 128 km/h
Podemos ver que claramente, el motociclista supera el limite de velocidad previsto.
Aprende más sobre velocidad en:
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Terms and expressions of nth term
Answer:
see explanation
Step-by-step explanation:
(a)
there is a common difference between consecutive terms, that is
10 - 12 = 8 - 10 = 6 - 8 = 4 - 6 = - 2
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 12 and d = - 2 , then
[tex]a_{n}[/tex] = 12 - 2(n - 1) = 12 - 2n + 2 = 14 - 2n
(b)
similarly this is an arithmetic sequence
with a₁ = 25 and d = 20 - 25 = 15 - 20 = 10 - 15 = 5 - 10 = - 5
[tex]a_{n}[/tex] = 25 - 5(n - 1) = 25 - 5n + 5 = 30 - 5n
sandy ran for 22 minutes. Gary ran 7 minutes longer than sandy did. Herbert ran 12 minutes less than Gary. who ran the longest
Answer:
So Gary ran the longest
Step-by-step explanation:
Gary ran for 22 minutes + 7 minutes = 29 minutes.
Herbert ran for 29 minutes - 12 minutes = 17 minutes.
So Gary ran the longest, followed by Sandy and then Herbert.
A dolphin is at the surface of the ocean.What is the dolphin’s elevation?
Answer:
0
Step-by-step explanation:
surface of ocean = sea level = elevation of zero
