The answer is B. √14
The first term of an arithmetic sequence is six. The fifth term of the sequence is -14. th Write a rule that can be used to find the nth term.
Answer:
[tex]a_{n} = 11 - 5n[/tex]
Step-by-step explanation:
use the formula
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
-14 = 6 + (5 - 1)d
-14 = 6 + 4d
-20 = 4d
d = -5
[tex]a_{n} = 6 + (n - 1)(-5) = 6 - 5n + 5 = 11 - 5n[/tex]
Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?
Answer:
18 More Minutes
Step-by-step explanation:
Hi,
I think I can help.
What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.
To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.
But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)
So we can do :
40 / 4
=
10%
Also
12 / 4
=
3
So with this we can conclude that 10% of his total time is 3 minutes.
Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.
So :
10% x 10
=
100%
3 x 10
=
30 minutes
So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.
We can now simply take the total time and take off the time spent already to find this answer :
30 - 12
=
18 minutes
That is your answer, he needs to study 18 more minutes.
I hope this helps!
If you have any questions or concerns please comment or message me! :)
find the surface area of the cube below.
Answer:
150
Step-by-step explanation:
surface area =6a^2
= 6(5^2)
= 6×25
=150
Answer:
150 cm²
Step-by-step explanation:
So, firstly we must understand what does total surface area means (T.S.A)
We intuitively know that, it means,
Area of 6 EQUAL faces.
So,
Edge of the cube = 5 cm
Area of 1 face= 5 × 5= 25 cm²
Area of 6 faces= 25 × 6= 150 cm².
So, that means,
T.S.A= 150 Cm²
Mark spent $60 dollars on 4 shirts. How much was one shirt
How can you tell that (448 + 217 + 34) × 9 is three times as large as (448 + 217 + 34) × 3 without doing complicated calculations?
Please help!
A point moves in the plane of two perpendicular lines so that the product of its distances from the lines always is 12 when the point is 4 units from one of the lines, its distance from that line is decreasing at the rate of 2 units/min. At what rate is the distance from the other line changing at that moment?
I'm not sure how this situation would look so if someone could draw or make a diagram/graph for me (on Desmos or something), I would really appreciate it!
The rate is the distance from the other line changing at that moment will be negative 1.5 units per minute.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decrease.
A point moves in the plane of two opposite lines so the result of its good ways from the lines forever is 12 when the fact of the matter is 4 units from one of the lines, its separation from that line is diminishing at the pace of 2 units/min.
Let the coordinate of the pointe be (x, y). Then the function is given as,
[√(x- 0)²] [√(y - 0)²] = 12
[√x²] [√y²] = 12
x y = 12
At x = 4, the value of the variable 'y' is given as,
4y = 12
y = 3
Differentiate the function with respect to time, then we have
xy' + yx' = 0
4 × y' + 3 × 2 = 0
y' = - 6 / 4
y' = - 1.5 units per minute
The rate is the distance from the other line changing at that moment will be negative 1.5 units per minute.
More about the differentiation link is given below.
https://brainly.com/question/24062595
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Which equation can be used to solve for x in the following diagram?
Answer:
4x-20 = 60
Step-by-step explanation:
Write in point-slope form an equation of the line that passes through the point (9, 3) with slope 6
Answer:
Step-by-step explanation:
y-3 = 6(x-9)
Find the first three terms of the sequence below.
Tn = 3n^2- 4n - 3
Answer:
Look on the internet , It's easy
Raju is painting the walls and ceiling of a room with length, breadth and height of the room are 10m, 5m, 2m respectively. From each can of paint, 10m2 of area is painted. How many cans of paint will he need to paint the room?
Answer:
10 cans of paint
Step-by-step explanation:
Find the total area of the room
Divide the answer by 10meter squared.
Write a numerical expression for the verbal expression. the sum of six and fifteen divided by the difference of thirteen and nine
As a result of changing sales figures, a company increased the size of its workforce very quickly at first and then more slowly, as shown in the table.
Years After Opening 1 2 3 4 5 6 7
Number of Employees 100 348 405 575 654 704 746
Which type of function best models the data?
A.
a linear function with a positive slope
B.
a quadratic function with a positive value of a
C.
a quadratic function with a negative value of a
D.
a square root function
Answer:
C
Step-by-step explanation
you need desmos for this
Plug in the table and also plug in y_{1}\sim ax_{1}^{2}+bx_{1}+c and you find the a and b values. a is shown as a negative number, and the graph's U shape means it's quadratic.
The required function that best models the data is a linear function with a positive slope. Option A is correct.
Given a table,
Years After Opening 1 2 3 4 5 6 7
Number of Employees 100 348 405 575 654 704 746
Which type of function best models the data to be determined
Functions are the relationship between sets of values. e g y = f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Since looking forward to the data given,
It can be seen that the data first increased rapidly then it become moderate. Thus it means the relationship starts with a positive intercept.
This implies that the given relationship is linear and with a positive slope.
The required function that best models the data is a linear function with a positive slope.
Learn more about function here:
brainly.com/question/21145944
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Solve for x, rounding to the nearest tenth if necessary.
Answer:
Pythagorean theorem: a^2 + b^2 = c^2, a and b are the sides, c is the hypotenuse (longest side).
27^2 + 25^2 = x^2
Solving for x, we see that it is approximately 36.8.
Let me know if this helps!
The hall has 10 windows that measure 2m across and 2m high. It also has 4
doors that measure 2m high and 1,8m across
i)
What is the area of all four walls in the hall (including all windows and
doors)?
Find a, b and h so that f(x)= asin(b(x-h)). Round to two decimal places if necessary.
f(x)= sin 2x – 3 cos 2x
a.
a = 0.62
b=4
h = 3.16
b.
a = 3.16
b = 2
h = 0.62
c.
a = 3.16
b = 4
h=0.95
d.
a = 1.41
b=2
h= 0.62
Answer:
The answer is B
Step-by-step explanation:
I'm on edenuity too
The given function is f(x)= asin(b(x-h)) Thus, option B is the correct match for the values.
What are the six trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
The given function is f(x)= asin(b(x-h)) where we have to find the value of a , b and h.
f(x)= sin 2x – 3 cos 2x
If we substitute the value of a, b and h then we get the same solution for both the equation.
a = 3.16
b = 2
h = 0.62
Thus, option B is the correct match for the values.
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
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question is attached
Mary bought 5 pairs of gloves and 2 hats for $95. Mary received a text from her friend Joanna ask her to buy 4 pairs of gloves and a hat. Mary told Joanna that the cost was $70. How much does each pair of gloves cost? How much does the hat cost?
Answer: Each pair of gloves costs $15 and each pair of hat costs $10.
Step-by-step explanation:
Let x = Cost per pair of gloves
y= Cost per hat.
As per given, we have
[tex]5x+2y=95 \ \ \ \ (i)\\4x+y=70\ \ \ \ \ (ii)[/tex]
Multiply (ii) by 2 , we get
[tex]8x+2y=140\ \ \ \ (iv)[/tex]
Eliminate (i) from (iv), we get
[tex]3x=45\\x=15[/tex]
Put this in (ii), we get
[tex]4(15)+y=70\\60+y=70\\y=10[/tex]
Hence, each pair of gloves costs $15 and each pair of hat costs $10.
This is sooooo confusing........................................
Answer:
i dont know :(
Step-by-step explanation:
i dont know :(
Use an operation or a property to justify each step and indicate if the expressions are correct
-3.2(4.1x - 6) + 1.5(3x - 4) = -8.62x + 13.2
Answer:
B is your answer -Gradpoint
What is the zero of r(x)=8/3x−16
6
−16
16
−6
Answer:c
Step-by-step explanation:
I took the test
Pls answer ASAP or I’ll fail pls hurry
Answer:
467.36 m^2 (maybe)
I needs someone’s help pls
Answer:
won't it make 30 smoothies
Step-by-step explanation:
then that means danielle makes more!!
The cost to rent the school is $200. The student council has a goal to raise $350 after paying the rental fee.
Find the length of the third side. If necessary, round to the nearest tenth.
6
14
Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )
How do I find what AC is?
Answer:
sqrt(882) or 29.698
Step-by-step explanation:
AD^2 + DC^2 = AC^2
sqrt(21^2+21^2) = 29.698
okay this is my last one.. I think dfghmhgfd
We know that :
[tex]\color{hotpink} \tt \: circumference \: of \: a \: circle\color{plum} = 2\pi r[/tex]
So, let the diameter of this circle be x.
Which means :
[tex] =\tt2 \times \pi \times r[/tex]
[tex] =\tt 2 \times x \times \pi = 12\pi[/tex]
[tex] =\tt 2x\pi = 12\pi[/tex]
[tex] =\tt x = \frac{12}{2} [/tex]
[tex] = \tt \: x = 6 \: m[/tex]
Thus, the radius of the circle Robert drew = 6 m
Since the circle in option B has a radius of 6 m, it is the circle Robert drew.
▪︎Therefore, the correct option is (B)
Ivanna made $133 for 7 hours of work. At the same rate, how many hours would she have to work to make $228?
please someone help me ...
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Functions.
Since, the above function is a square root function, we must always keep it's domain as Positive Real numbers, such that it will not went to the imaginary axis, hence
D: R+
Range, for range we equate it to 0 ,
hence we get as,
R: x belong from 0 to positive Infinite
As, x---> infinite, f(x) ---> - infinite
As, x----> 0 , f(x) -----> 0
increasing interval, we have to differentiate it, we get as
-4 to 0
Decreasing interval is 0 to infinite
Which of the following is not a possible answer to a probability question?
00
0 1.2%
O 120
O 2/3
Answer:
which of the following is not a possible answer to a probability question 2 by 3 that is not a probability questions answer because always a probability will come in the probability of an event ok so 232 want to come
Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit. Answer parts a and b
What is the slope-intercept form?
