===========================================================
Explanation:
A = first term = k+2B = second term = 4k-6C = third term = 3k-2To go from the first term to the second term, we add on some common difference d.
So,
B = A+d
B = (k+2)+d
4k-6 = k+2+d
4k-6-k-2 = d
d = 3k-8
---------------
Similarly, to go from the second term to the third term, we also add on d
C = B+d
C = (4k-6)+d
C = (4k-6)+(3k-8)
C = 7k-14
3k-2 = 7k-14
---------------
Let's solve for k
3k-2 = 7k-14
-2+14 = 7k-3k
12 = 4k
4k = 12
k = 12/4
k = 3 is the final answer
---------------
If k = 3, then we have these three terms:
A = k+2 = 3+2 = 5B = 4k-6 = 4(3)-6 = 6C = 3k-2 = 3(3)-2 = 7The arithmetic progression (AP) is 5, 6, 7. The common difference is d = 1.
Note how d = 3k-8 = 3(3)-8 = 1
Does the graph shown represent an arithmetic sequence, geometric sequence, or neither?
Answer:
arithmetic sequence
Step-by-step explanation:
Each new member of this sequence is less than the previous member by a fixed number, which means this is an arithmetic sequence.
Help pls I’ll give extra points
Answer:
a
Step-by-step explanation:
you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.
You play a game in which two dice are rolled. If a sum of 7 appears, you win ten dollars; otherwise, you lose two. If you intend to play this game for a long time, should you expect to make money, lose money, or come out about even? Explain.
Answer:
Come out even
Step-by-step explanation:
The total numbers of faces in rolling two dice = 6 X 6 = 36
The sum of appears in the following cases: {6, 1}, {1, 6}, {2, 5}, {5, 2}, (3, 4}, {4, 3}. Making a total of 6 cases
Probability of obtaining a sum of 7 = possible number of cases where the sum of 7 appears ÷ total number of outcome
= 6/36 = 1/6
Probability of not obtaining a sum of 7 = 1 - Probability of obtaining a sum of 7
= 1 - 1/6
= 5/6
Expected Value: (1/6)10 + (5/6)(-2) = (10-10)/6 = 0
So the answer is come out even
For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard deviation? The formula for the sample standard deviation is s = 2(x-7)? . 1 Use the table to help you. (x - 2)2 1 Sum= Round your answer to the nearest tenth.
Answer:
the answer is 2.9
Step-by-step explanation:
.
E
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 27 N acts on a certain object, the acceleration
of the object is 3 m/s?. If the force is changed to 18 N, what will be the acceleration of the object?
X
5
?
Solution :
It is given that force on the object is directly proportional to acceleration.
So, F = ka
Here, k is any constant value.
Putting, F = 27 N and a = 3 m/s² in above equation, we get :
3k = 27
k = 9 N s² m⁻¹
Putting, k in above equation, we get :
F = 9a
Now, putting F = 18 N, we get :
a = 18/9 m/s²
a = 2 m/s²
Hence, this is the required solution.
convert 4/5 into percent
the nearest 100 of 87682
What is the answer for this question?
Answer:
A) 254 centimeters squared
Step-by-step explanation:
Answer:
A. 254
Step-by-step explanation:
Helppp please and thank you !
Answer:
209 (Sorry if wrong)
Step-by-step explanation:
12x12=144
13x5=65
144+65=209
==================================================
How to get that answer:
We have a 12 by 12 square of area 12*12 = 144 square meters.
Then on top of this we have a triangle with base 12 and height 5, so its area is base*height/2 = 12*5/2 = 60/2 = 30 square meters
Overall, the two areas combine to 144+30 = 174 square meters
---------
Side notes:
The missing side of the triangle can be found through the pythagorean theorem. You could use the trapezoid area formula as an alternative path, instead of finding the area of each smaller piece.We can condense the unit "square meters" into "sq m" or "m^2".Lance purchased 6 songs and spent $9.
Erika purchased 8 songs and spent $12.
If each of song costs the same amount of
money, what is the constant of
proportionality between the money spent
and the number of songs downloaded?
A. 0.75
B. 1.5
C. 2
D. 3
Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π. Round your answer to the nearest tenth..
Part B: Plot point C(2,7). If M is the midpoint of CD, what are the coordinates of D?
Answer:
[tex]D = (-4,-9)[/tex]
Step-by-step explanation:
Given
[tex]C =(2,7)[/tex]
[tex]M=(-1,-1)[/tex]
Required
The coordinates of D
Represent D with:
[tex]D = (x_2,y_2)[/tex]
Using midpoint formula, we have:
[tex]M(x,y) = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]
So, we have:
[tex](-1,-1) = \frac{1}{2}(2 + x_2, 7 + y_2)[/tex]
Multiply both sides by 2
[tex](-2,-2) = (2 + x_2, 7 + y_2)[/tex]
Compare both sides
[tex]2 + x_2 = -2[/tex]
[tex]7 + y_2 =-2[/tex]
In [tex]2 + x_2 = -2[/tex], we have:
[tex]x_2 =-2-2[/tex]
[tex]x_2 =-4[/tex]
In [tex]7 + y_2 =-2[/tex], we have:
[tex]y_2 = -2 - 7[/tex]
[tex]y_2 = -9[/tex]
So, the coordinates of D is:
[tex]D = (x_2,y_2)[/tex]
[tex]D = (-4,-9)[/tex]
cuanto es 1+1 y 50+4
Answer:
1+1=2
50+4=54
54+2=56
Step-by-step explanation:
Answer:1+1 es 2 50+4 es 54
Step-by-step explanation:primero te debes de dar cuenta que 1+1 es 2 si te fijas en el 1 la parte de ariba si lo multiplicas por 2 lo divides por 2 luego le restas 1 y le sumas 2 y le restas 1 y lo vuelves a multiplicar por 2 te das cuenta que seria la misma respuesta que seria en total el resultado seria 2 y el de 50+4 es 54 porque si te das cuenta el numero cubico la cuadrado es 2345432345654323456543234543234543234543 respuesta justificada
P(A and B)=P(A)•P(B) is used when two events are used when two events are
Answer:
Independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Thus, P(A and B)=P(A)•P(B) is used when two events are independent.
The library surveyed 180 people about their favorite type of movie. If 40% of the people chose action, how many people chose action?
Answer:72
Step-by-step explanation:
someone please tell me this answer!!
Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey
Which expression is equivalent to 11x + 5 + 2x - 3? (HINT: Combine LIKE TERMS)
1. 13x
2. 13x + 8
3. 21x
4. 13x + 2
Please help it’s a test
Answer:
4.13x+2
Step-by-step explanation:
11x+5+2x-3
13x+5-3
13x+2
Answer:
4 .13x+2
and don't ever try to copy and this app is for homework but other testshope you understand
pls take it positively
and I hope you will not do this for next test
What is 234.506 rounded to the nearest hundredth
Answer:
Rounded to the nearest hundredth, 234.506 becomes 234.51.
PLEASE HELP ME!!!!!!!!!!!!!!!!!!! ASAP :)
Answer:
c) The growth factor per days is 1.08
e) The growth factor per hour is 1.08^{1/24}
Step-by-step explanation:
Given the following data;
P(d) = 10 * 1.08^{d} in thousands.
a. To find the number of insects on day 1;
Day, d = 1
[tex] P(d) = 10 * 1.08^{d} [/tex] ......equation 1
Substituting into the formula, we have;
[tex] P(1) = 10 * 1.08^{1} [/tex]
[tex] P(1) = 10 * 1.08 [/tex]
[tex] P(1) = 10.08 [/tex]
Therefore, option (a) and (b) are incorrect.
c. To find the growth factor per day;
An exponential function is given by the formula;
[tex] y = mg^{x} [/tex] .....equation 2
Where;
g is the growth factor of a population.
Comparing eqn 2 with eqn 1;
g = 1.08
Therefore, option (c) is correct.
e. To find growth factor per hour;
From equation 1 above;
[tex] P(1) = 10 * 1.08^{\frac {1}{2}} [/tex]
Therefore, option e is correct.
Look at the cylinder.
What is the total surface area?
A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?
Select one:
A. The size of the population
B. The length of time the people smoked
C. All the information you need is contained in the problem
D. The amount of confidence you desire in your estimate
Answer:
C. All the information you need is contained in the problem.
310 people of 1000 people smoke.
Step-by-step explanation:
[tex]\frac{y}{1000}: \frac{31}{100}[/tex]
y · 100 = 31 · 1000
100y = 31000
100y ÷ 100 = 31000 ÷ 100
y = 310
A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?
Answer:
The distance between the two towns is of 1000 km.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
We have that:
3 cm represents a distance of 400 km.
What is the distance represented by 7.5 cm?
3 cm - 400 km
7.5 cm - x km
Applying cross multiplication:
[tex]3x = 400*7.5[/tex]
[tex]x = \frac{400*7.5}{3}[/tex]
[tex]x = 1000[/tex]
The distance between the two towns is of 1000 km.
Find the Key words in the word problem
Define the Variable -
Write an expression
An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.
Giving Out Brainliest
Please answer this question Right away
I don't want the answer On a link and don't type anything random
Answer:
An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.
Step-by-step explanation:
One box has 16 apples. Another box has 24 lemons. Each apple weighs twice as much as each lemon. If A is the weight of the box of apples
and B is the weight of the box of lemons, what is?
Answer:
48
Step-by-step explanation:
Which pair of functions are inverses of each other?
Wanting to make sure of answers in this pretest
Answer:
The only pair of functions that are inverses of each other are the ones for option D.
Step-by-step explanation:
Two functions, f(x) and g(x), are inverses if and only if:
f( g(x) ) = x
g( f(x) ) = x
So we need to check that with all the given options.
A)
[tex]f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\[/tex]
then:
[tex]f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7} - 10[/tex]
This is clearly different than x, so f(x) and g(x) are not inverses.
B)
[tex]f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3[/tex]
Then:
[tex]f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}[/tex]
This is different than x, so f(x) and g(x) are not inverses.
C)
[tex]f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}[/tex]
Then:
[tex]f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2} - 2[/tex]
Obviously, this is different than x, so f(x) and g(x) are not inverses.
D)
[tex]f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}[/tex]
Then:
[tex]f(g(x)) = 9*\frac{x + 6}{9} - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9} = x[/tex]
In this case we can conclude that f(x) and g(x) are inverses of each other.
length of a rectangle is 2 metre and the breadth is 50 find the ratio of a length to the breadth of a rectangle
Please help me!!!
Find the measure of angle x in the figure below:
Answer:
Step-by-step explanation:
The area of a rectangle is given by the expression x^2 + 6x – 16. What are the dimensions of the rectangle?
(x+4) by (x+4)
(x+4) by (x-4)
(x+8) by (x-2)
(x-8) by (x+2)
Answer:
I don't no answer sorry sorryAnswer for brainlest
Answer:
these are corresponding angles
Answer:
Step-by-step explanation:
angle 8 and angle 4 are called corresponding angles.so,
angle 8=angle 4