Answer:
[tex]a_n=-12-4(n-1)[/tex]
Step-by-step explanation:
The given sequence is
-12,-16,-20...
The first term of this sequence is [tex]a_1=-12[/tex].
The common difference is
[tex]d=-16--12[/tex]
[tex]d=-16+12=-4[/tex]
The nth term of this arithmetic sequence is;
[tex]a_n=a_1+d(n-1)[/tex]
We substitute the values for the first term and the common difference to obtain;
[tex]a_n=-12-4(n-1)[/tex]
Answer:
[tex]a_{n} = -12-4(n-1)[/tex]
Step-by-step explanation:
We have given a arithmetic sequence.
-12,-16,-20,...
We have to find formula for a given sequence.
The general formula for nth term of sequence is :
[tex]a_{n} = a_{1}+d(n-1)[/tex]
In given sequence,
[tex]a_{1} = -12[/tex]
d is the common difference between consecutive terms.
d = -16-(-12) = -16+12
d = -4
Putting given values in formula, we have
[tex]a_{n} = -12-4(n-1)[/tex] which is the answer.
I Need Some Help!!!!!!!!!
Answer:
median = 50
difference in the quartiles = 45
Step-by-step explanation:
The median amount is the line in the middle of the box
The median is 50
The difference between the upper quartile and the lower quartile is the difference between the right end of the box and the left end of the box
65-20 = 45
What Katie bought some flour she used 3/8 of it to bake bread what percent of the flower is left over
Answer:
62.5%
Step-by-step explanation:
The local Walmart sold 67 televisions on Tuesday, 79 televisions on Wednesday, 195 televisions on Saturday, and 82 televisions on Sunday. How many televisions were sold in all over the weekend? The parking rates at the hospital's parking garage are 50 cents for the first hour and 25 cents for each additional hour. If Juan parks in the hospital's parking garage for 8 hours, how much will the total charge for parking be? Tom is on a diet. His diet plan allows him to have 1,000 calories for dinner. He's chosen a menu of enchiladas (537 calories), asparagus (96 calories), orange salad (78 calories), and cake (633 calories). If he eats this meal, will Tom be staying on his diet?
The total televisions sold over the weekend equals 177.
The cost of parking equals 50 cents for the first hour plus 25 cents for the additional 7 hours. Cost = .5 +7 x .25 = $2.25
In order to see if Tom is staying on his diet you need to add the total calories of the food that he is planning on eating for dinner. The total is 1,344 calories, so if he ate all of it he would not be staying on his diet.
A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total was $115. Which equation can be used to find the charge x, in dollars, per mile traveled?
A)40x+15=115
B)40+15x=115
C)40x+15x=115
D)40+15=115x
Answer: The equation you will use would be 40x + 15x =115. you're welcome.
I will mark the brainliest answer to the user that gets this question correct.
What is the square root of 100
Answer: your answer is 10 easy as said. Love you jojo
Answer:
10
Step-by-step explanation:
The square root of 100 is 10 because
10x10=100
Another way to do this is to add 10 together 10 times
(which is why multiplication was invented; to make adding large groups of numbers easier)
This graph of a function is a translation of y=4/x. What is an equation for the function?
[tex]y = \frac{4}{x + 6} + 2 \\ [/tex]
found by:
as value of x approaches -6 from left, value of y appoaches negative infinity
as value of x approaches -6 from the right, value of y approaches infinity
(undefined solution)
therefore, the value of x = 0 is translated to x = - 6
if x = -6,
(x + 6) = 0
(x + 6) is the value of x in the equation
[tex]y = \frac{4}{x + 6} + c[/tex]
as x increases, the value of 4/x approaches 0
in the graph, it approaches 2 instead
meaning 2 units is added to the value of y,
therefore c = 2.
Answer:
[tex]y=\frac{4}{x+6} +2[/tex]
Step-by-step explanation:
if i have 38 assignments and i do 15 of them what percentage do i have done?
Answer:
39.473%
Step-by-step explanation:
It is actually fairly simple to get the answer to this. What you can do to find any percentage, is to take the amount done, or whatever it is in the scenario, and divide it by the total. It is like turning it into a fraction, which you can do as well. Turn this into a fraction, and then convert it. 15/38, 15 divided by 38 = 39.473.
Hope this helped ^-^
To find the percentage you have done, divide the number you did by the total number you have to do:
15 / 38 = 0.3947
Multiply that by 100 to get the percentage:
0.3947 x 100 = 39.47% ( Round as needed).
Use the tangent radio to find the missing leg of this right triangle. Estimate your answer to two decimal places.
The answer is y = 6.43
Answer:
y = 6.43
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan47° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{6}[/tex]
Multiply both sides by 6
6 × tan47° = y
⇒ y = 6.43 ( to 2 dec. places )
Enter the system represented on the graph below. Find and explain the meaning of the point of intersection of the lines.
Answer:
y = -2x+4
y = (3/2)x -3
The point of intersection is (2, 0), or x=2 and y=0.
Step-by-step explanation:
The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...
y = slope · x + (y-intercept)
y = -2x + 4
Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...
y = (3/2)x -3
The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.
Jacob's daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?
Answer:
no
Step-by-step explanation:
median only shows the amount in the very middle. to represent how much money he makes in daily tips, he needs to find the mean (the average).
Answer:
Little close
Step-by-step explanation:
In statistics, when we have a list of entries to be analyzed we have few figures for observation. These are
Mean , median and mode.
Mean gives the average of all the entries. By average means.
Median gives you the middle most entry.
And mode gives the entry repeated the most.
As by definition we see that , median will give us approximation regarding daily data, hence jacob must consider the median to best represent the money he makes on daily basis.
The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a successful day, washed a total of 142 cars, and made $652.50. How many large cars and small cars did they wash?
Answer: 56 large cars and 86 small cars.
Step-by-step explanation:
Let's call:
[tex]l[/tex]: the number of large cars.
[tex]s[/tex]: the number of small cars.
Then, you can set up the following system of equations:
[tex]\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.[/tex]
You can use the Elimination Method:
- Multiply the first equation by -4.0
- Add both equations.
- Solve for l.
[tex]\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5[/tex]
[tex]l[/tex]≈[tex]56[/tex]
Substitute [tex]l=56[/tex] into one of the original equations and solve for s:
[tex]56+s=142\\s=142-56\\s=86[/tex]
Mr. Spoke is a sales man at pop's cycle shop, each month he earns $800 plus 7% of his total monthly sales. How much did he earn last month if his sales totaled $9,200.00
Answer:
$1444
Step-by-step explanation:
7% of 9200 = 644
644 + 800 = 1444
:)
he earned 8,301.56 last month
Please help! The graph of function g(x) is a transformation of the graph of function f(x) = x^2.
g(x) = _________
A.) 2x^2+3
B.) -2x^2-3
C.) -1/2x^2-3
D.) 1/2x^2-3
Answer:
B.) -2x^2-3
Step-by-step explanation:
You only need to look at the values of the offered answers for x=1 in order to determine the correct one.
A.) for x = 1, 2·1+3 = 5
B.) for x = 1, -2·1-3 = -5 . . . . matches the graph
C.) for x = 1, -1/2·1-3 = -3 1/2
D.) for x = 1, 1/2·1-3 = -2 1/2
___
Comparing the values at x=1 to the values at x=0, you find that f(1)-f(0) = 1, while g(1)-g(0) = -2. This tells you the multiplier is -2, so matches choice B.
The fact that the vertex of g(x) is 3 units below that of f(x) tells you that -3 has been added to the product -2x^2.
_____
Comment on vertical scale factor
Since 1^2 = 1, it is often convenient to look at a point that is 1 unit away from the vertex of the function. The function value relative to the vertex value at that point will tell you the vertical scale factor.
For example, we know that the coefficient of x^2 is 1 in f(x), and we see on the graph that f(1) is 1 unit above the vertex at (0, 0). The value of g(1) is -5, which is 2 units below the vertex of g(x) at (0, -3). So, the vertical scale factor is -5-(-3) = -2.
A and B share the cost in a ratio of 3:2 . The cost is ?85; how much does A pay?
Answer:
The amount of money A pays is [tex]\$51[/tex]
Step-by-step explanation:
Let
x-----> amount of money A pays
y-----> amount of money B pays
we know that
[tex]x+y=85[/tex] ------> equation A
[tex]\frac{x}{y}=\frac{3}{2}[/tex]
so
[tex]y=\frac{2}{3}x[/tex] ------> equation B
substitute equation B in equation A and solve for x
[tex]x+(\frac{2}{3}x)=85[/tex]
[tex]\frac{5}{3}x=85[/tex]
[tex]x=85*3/5=\$51[/tex]
Find x in the right triangle.
Answer:
x=4
Step-by-step explanation:
We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b we use c^2-a^2=b^2. Lets input our knowns. 5^2-3^2=x^2. Lets start solving by squaring.
25-9=x^2
Subtract
16=x^2
Take the square root
4=x
What is the distance between (6, 2) and (6, -5)? A.-7 units B.3 units C.7 units D.11 units
Hey there! The correct option is A. -7 units (see photo for more info)
You can see in the photo I provided that there are 7 spaces in between (6, 2) & (6, -5) & since -5 is negative, the number of units in be will be negative.
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
Bill is saving for his son's college education. If the savings account earns 5% interest compounded monthly, and he wants to have $45,000 in 10 years, what must the principal be?
Answer:
$27,322.25
Step-by-step explanation:
Final answer:
To find the principal, you can use the formula for compound interest. The principal should be approximately $30,157.40.
Explanation:
To find the principal, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the future value of the investment (which in this case is $45,000)
P is the principal
r is the annual interest rate (which is 5% or 0.05)
n is the number of times interest is compounded per year (monthly compounding means n = 12)
t is the number of years
Using the given values, we have:
45000 = P(1 + 0.05/12)^(12*10)
Solving for P:
P = 45000 / (1 + 0.05/12)^(12*10)
P = 45000 / (1.00416667)^(120)
P ≈ 30157.40
Therefore, Bill must have a principal of approximately $30,157.40.
what is the domain of this graph?
Answer:
B 0 ≤x≤9
Step-by-step explanation:
The domain is the input values of the graph. In this graph it is the values that the time variable takes.
Time can take 0 seconds to 9 seconds
0 ≤x≤9
(10Q) Solve the log.
Answer:
the answer is:
d. 5
Answer:
d
Step-by-step explanation:
You reason this out by saying
4^x = 4^5
Since the bases are the same, the answer is x = 5
graphing a line through a given point with a given slope
graph the line with slope - 2 / 3 passing through the point (-1,3)
the fraction is negative
I have attached a hand drawn graph with the correct equation.Brainliest would be greatly appreciated!
The perimeter of a triangle is given by the formula P = a + b + c. Solved for b, this formula becomes b =
Answer: B) P-a-c.
Step-by-step explanation:
The value of b is P - a - c.
Given,
The perimeter of a triangle is given by the formula P = a + b + c.
We need to solve for b.
What is the perimeter of a triangle?The total length of all three sides of a triangle is called the perimeter of the triangle.
It is given by:
P = a + b + c
Where a,b, and c are the sides of the triangle.
We have,
P = a + b + c
Subtracting a on both sides
P - a = a + b + c - a
P - a = b + c
Subtracting c on both sides
P - a - c = b + c - c
P - a - c = b
We get,
b = P - a - c
Thus the value of b is P - a - c.
Learn more about the Perimeter of a triangle here:
https://brainly.com/question/12901661
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Consider the data set on the number line. Determine the interquartile range.
A) 11
B) 17
C) 22
D) 25
Answer:
Step-by-step explanation:
The answer is B because if you subtract the correct way then you should get 17
Answer: B
Step-by-step explanation:
Evaluate the logarithm in e^2 (Picture provided)
Answer: option d
Step-by-step explanation:
By definition, you know that:
[tex]log_a(a^n)=n[/tex]
Where: a is the base of the logarithm.
You also know that the base of [tex]ln[/tex] is the Euler's number, which is "[tex]e[/tex]".
Therefore, when you apply the property shown above, you obtain the following:
[tex]ln(e^2)=log_e(e^2)\\ln(e^2)=2[/tex]
Then, you can conclude that the answer is the shown in the option d.
Answer:
d edge
Step-by-step explanation:
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
If the shapes are similar, the correspondent sides are in proportion:
[tex]AB\div DE = BC \div EF[/tex]
Let's plug the values and solve for x:
[tex]5x \div 5 = 4 \div x \iff \dfrac{5x}{5}=\dfrac{4}{x}\iff x = \dfrac{4}{x}[/tex]
Multiply both sides by x to get
[tex]x^2=4 \iff x=\pm2[/tex]
The only feasible solution, though, is [tex]x=2[/tex], because it wouldn't make sense to have negative lengths.
The value of x in the similar polygons in the given diagram is: B. x = 2.
What are the Sides of Similar Polygons?Similar polygons have the same shape but different size, thus, the length of their corresponding sides are proportional together and have equal ratio.
In essence, we will have the following ratio:
5x/5 = 4/x
(x)(5x) = (4)(5)
5x² = 20
5x²/5 = 20/5
x² = 4
x = √4
x = 2 (option B)
Learn more about similar polygons on:
https://brainly.com/question/2264759
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The gravitational force on the earth is six times greater than on the moon. This means objects weigh six times as much on earth as they do on the moon. Write an algebraic expression for the weight of an object on earth if its weight on the moon is m.
Answer:
y=6x
Step-by-step explanation:
let y be the weight of an object on the earth
let x be the weight of the same object on the moon
Since the weight of an object on earth is 6 times greater than the same thing on the moon, You must multiply the weight of something on the moon by six.
Hope this helped!
Final answer:
The algebraic expression for the weight of an object on Earth given its weight on the Moon, denoted as 'm', is 'W = 6m', where 'W' represents its weight on Earth.
Explanation:
The question is asking us to find an algebraic expression for the weight of an object on Earth given its weight on the Moon.
We know that the gravitational force on Earth is six times greater than on the Moon, which means objects weigh six times more on Earth than on the Moon.
If the weight of an object on the Moon is given as m, then the weight of the same object on Earth, W, would be W = 6m.
rational exponents: product rule
simplify
v^2/3 x v^2/7
the fractions are exponents
Answer:
v^(20/21).
Step-by-step explanation:
v^2/3 x v^2/7
= v^(2/3 + 2/7)
= v^( 14/21 + 6/21)
= v^(20/21).
If the length of the rectangle is 15 units long and the width is 11 units long, how long is the diagonal
Answer:
18.6 units
Step-by-step explanation:
A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. A diagonal can be drawn between opposite corners that splits the triangle into two equal right triangles. The distance of this diagonal is found using the Pythagorean Theorem a² + b² = c². In the rectangle a = 11 and b = 15. Substitute these values and simplify using a square root operation.
11² + 15² = c²
121 + 225 = c²
346 = c²
√346 = c
18.6= c
If AC=12, BC=3, find CE
1) 3 square root of 3
2) 6
3) 18
Answer:
2) 6
Step-by-step explanation:
CE^2 = BC * AC
CE^2 = 3 * 12
CE^2 = 36
CE = 6
Write the ratio 2/4 as a percent.
Answer:
50%
Step-by-step explanation:
2/4 = (2/4)×(25/25) = 50/100 = 50%
Charlotte has a 222 page book. She has read 1/2 of of it. How many pages does she have left to read?
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ She has 111 pages left.
222/2 = 111
222 - 111 = 111
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
222/2=111 111x2=222