Answer:
Step-by-step explanation:
In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?
A. -1
B. 7
C. 10
D. 14
E. 20
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MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730
Answer:
4 + 3(n-1)
Step-by-step explanation:
Sequences start from n=1,2,3....
In this case
4 + 3(1-1)= 4
4 + 3(2-1) =7
And continue the pattern
Factor ab + bc + b2 + ac.
(a + b)(b + c)
(a + c)(b + c)
b(a + b)(b + c)
Answer:
It is (a + b)(b + c)
Step-by-step explanation:
[tex]ab + bc + {b}^{2} + ac[/tex]
arrange the function:
[tex] = (ab + ac) + ( {b}^{2} + bc)[/tex]
factorise out common terms [ a and b ]:
[tex] = a(b + c) + b(b + c)[/tex]
form a bracket of factors:
[tex] = (a + b)(b + c)[/tex]
Write 8-to 10 sentences about how math can make you a good leader/worker?
^^i didn't really understand that one and yes ill give brainliest and yes I will report your answer if you put absurd stuff
Step-by-step explanation:
Mathematics is a methodical application of matter. ... Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.pls make me the brainliest
Answer:
Math can make you a good leader and worker in many ways. Math is a subject that usually includes lots of problem-solving and critical thinking skills. When taking a math class you acquire lots of experience with those. Some areas of math such as Calculus, can be very difficult and take lots of determination to learn. People that are able to effectively solve problems are very valuable to businesses as workers and will often be hired and promoted before others who don't posses the same problem-solving skills. Knowing how to make basic calculations without a calculator can also be very useful in any field of work.
Solve for x: |4x + 12| = 16 (5 points)
Group of answer choices
x = 7, x = −7
x = 1, x = −1
x = 1, x = −7
x = −1, x = 7
X= 1 , X= –7
I hope I helped you^_^
The product of 4 and a number x
Answer:
you can`t multiply an integer with a variable unless the variable represents something
ex: if x = 10 then the product of 4 and x is 40
Answer:
4x
Step-by-step explanation:
'Product' refers to multiplication.
What is the length of the altitude of the equilateral triangle below?
Answer:
B
Step-by-step explanation:
Using the sine ratio in either of the 2 right angles and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{4\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 4[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by 2 )
a = 6 → B
The domain for f(x) and g(x) is the set of all real numbers
Let f(x) = 3x + 5 and g(x) = x^2
Find (f + g)(x).
Answer:
3x square + 5 is your answer
Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.
Answer:
-20
Step-by-step explanation:
Hi
The value of the expression is a decimal -17.33.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.3x = -5 - (-0.4 - (-0.6))
0.3x = -5 - (-0.4 + 0.6)
0.3x = -5 - 0.2
0.3x = -5.2
x = -5.2/0.3
x = -17.33
Thus,
The value of x is -17.33.
Learn more about expressions here:
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Calculus (yet again)!
The water level of a certain body of water is changing at a rate of [tex]W(t) = \frac{1}{2}cos(3 - \frac{t}{2})[/tex] inches per hour, where t represents hours since 12 a.m.
What is the average hourly number of inches that the water level changes for this lake in one day?
I'm pretty sure that the number of inches that the water changes in one day would be represented by [tex]\int\limits^2_0 {W(t)} \, dt[/tex] (where the number on top of the integral is a 24), but how would I set up an integral for the average hourly number of inches? Thank you so much!
Answer:
The average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.
Step-by-step explanation:
The water level of a certain body of water is changing at a rate represented by the function:
[tex]\displaystyle W(t) = \frac{1}{2}\cos \left( 3- \frac{t}{2}\right)[/tex]
Where W is measured in inches per hour and t represents hours since 12 A.M.
And we want to determine the average hourly number of inches that the water level changes for the lake in one day.
Recall that the average value of a function is given by:
[tex]\displaystyle f_\text{avg} = \frac{1}{b-a} \int_{a}^{b} f(x) \, dx[/tex]
Hence, the find the average hourly number of inches that the water level changes in one day, we simply need to find the average value of W from t = 0 to t = 24.
Substitute:
[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{(24)-(0)} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]
Simplify:
[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{24} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]
Evaluate using u-substitution. We can let:
[tex]\displaystyle u = 3 - \frac{t}{2} \Rightarrow du = -\frac{1}{2}\, dt\Rightarrow -2\, du = dt[/tex]
Hence:
[tex]\displaystyle W(t)_{\text{avg}} = -\frac{1}{24} \int_{3}^{-9} \cos u \, du[/tex]
Evaluate:
[tex]\displaystyle \begin{aligned} W(t)_{\text{avg}} &= \frac{1}{24}\int_{-9}^{3} \cos u\, du \\ \\ &= \frac{1}{24}\left(\sin u\Big|_{-9}^{3}\right) \\ \\ &= \frac{1}{24}\left(\sin3 - \sin -9\right) \\ \\ &=\frac{1}{24}\left(\sin 3 + \sin 9\right) \\ \\ &\approx0.0231 \end{aligned}[/tex]
In conclusion, the average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.
Find the length of the line segment in decimal form.
Answer:
Step-by-step explanation:
(2 , 4) ; ( -1 , -1)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
calculate the area of the classroom.area =l×b
Solve for y.
–5(y − 3) − 10 = –6y
y =
Answer:
y = - 5
Step-by-step explanation:
–5(y − 3) − 10 = -6y
-5y + 15 - 10 = -6y
-5y + 5 = -6y
5 = - 6y + 5y
5 = -y
-5 = y
Answer:
y = -5
Step-by-step explanation:
–5(y − 3) − 10 = –6y
First, open up the brackets.
-5y + 15 - 10 = -6y
-5y + 5 = -6y
Move y to the same side. ( when you move the numbers to the opposite side , be aware of changing the negatives and positives )
-5y + 6y = -5
y = -5
(4x+5)(4x−5)
I'm stuck can someone please help me
Answer:6small2−25
Step-by-step explanation:
Answer:
16x² - 25
Step-by-step explanation:
(4x+5)(4x−5)
16x² - 20x + 20x - 25
16x² - 25
-5.025, -square root of 25, -5 1/2, -11/2 least you greatest
answer =-51/2,-11/2,-5.025,-✓25
-✓25=-5
-11/2=-5.5
-51/2=-25.5
-5.025
When the sum of the internal angles of a polygon is 10 right angles, then how
many sides does it have?
Answer:
7 sides
Step-by-step explanation:
formula for sum of interior angles
(n-2)× 180= 10 right angles
(n-2)× 180 = 900
n-2= 900÷180
n= 5+2
n= 7
In the diagram, bisects FGI.
Angle FGI is formed from angles FGH and HGI. Angle FGH measures 4 x minus 7 degrees. Angle HGI measures 5 x minus 14 degrees.
a.
Solve for x and find mFGH.
b.
Find mHGI.
c.
Find mFGI.
a. x
nothing (Simplify your answer.)
Answer:
C 100%
Step-by-step explanation:
Select the coff
A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within
0.15 ounces of that amount. Which inequality shows all the possible actual bottle volumes (1) that the manufacturer would be able to advertise
as 21 ounces?
Answer:
d
Step-by-step explanation:
v+21
[tex]v + 21 \leqslant 0.15[/tex]
The inequality is v+ 21 ≤ 0.15
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within 0.15 ounces of that amount.
So,
if the volume is v then the situation can be represented as
v+ 21 ≤ 0.15
As, the actual amount is within 0.15 ounces of that amount.
Learn more about inequality here:
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What are the coordinates of the point 3/4 of the way from A to B?
Answer:
(-3.5,1)
Step-by-step explanation:
There are 7 boxes between A and B. So I figure if you take 3/4 of 7 is about 5.
Answer:
(-3.5,1.25)
Step-by-step explanation:
please help asap show work and dont put links
Answer:
square root of x. so just find the square roots of all the inputs. you can tell its square root of x cuz all of things where both boxes are fille in each side have the same patter. square root of 1 is 1 square root of 49 is 7 square root of 25 is 5
Step-by-step explanation:
how do you solve sin(x) + cos(x) * tan(x)
Step-by-step explanation:
[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]
Step-by-step explanation:
sin(x) + cos(x) = sin x ÷cos x
sin(x) + cos(x) sin(x) ÷ cos (x)
join cos x and sin x
sin x + sin x
cancel cos x with cos x
The answer is 2 sin x
Drag the black dots to move the
like terms next to each other.
Then simplify the expression.
4x-2y + 7-y +5-3x
Answer:
4x - 3x - 2y -y +7 + 5
Step-by-step explanation:
4x-3x =x
-2y-y = (-3y)
7+5 = 12
x-3y+12
I NEED HELP RN PLEASEE need part 1 and 2 plz asap
Answer:
A. 2+6+10+14+18+22+26+30+34+38
B. 6+18+54+162+486+1458+4374+13122+39366+118098
Step-by-step explanation:
I. In A. you can see 2 is plus by 4 = 6
6 is plus by 4 = 10
... is plus by 4 ...
So the term was plus by 4
II. In B. you can see 6 is multiply by 3 = 18
18 is multiply by 3 = 54
... is multiply by 3 ...
So the term was multiply by 3
Leave comment if you're curious.
answer it plz
step by step plz
Answer:
I HOPE IT WILL HELP YOU A LOT.
Have a great day ahead.
I need the volume of part f in this question and please show the working if you do solve it !!
Answer:
10 x 4 x 3=120
4 x 3 x 3=36
4 x 3 x 3=36
120+48+48=192
im sorry....i don't know the proper working>_<
Talehia is working on the monthly budget her monthly income is 500 she has allocated 200 for savings 100 for vehicle expenses and 75 for closing how much is available to spend on entertainment
Answer:
125
Step-by-step explanation:
total earning = 500
saving = 200
reaminings = 500-200
temainings= 300
vehical expenses=100
now remainings= 300-100
remaining=200
closing= 75
remaings=200-75
remainings for entertainment= 125
How can a frequency table or histogram help you organize and analyze data?
Answer:
[tex]\red{{\sf{NONSENSE=}}}[/tex]
[tex]\blue{{\sf{REPORT}}}[/tex]
[tex]\color {red}{•}\color {orange}{•}\color {yellow}{•}\color {lime}{•}\color {green}{•}\color {cyan}{•}\color {aquamarine}{•}\color {indigo}{•}\color {blue}{•}\color {violet}{•}\color {blueviolet}{•}\color {pink}{•}\color {magenta}{•} \color {brown}{•}\color {gray}{•}\color {black}{•}[/tex]
Which of the following points lies on the line defined by y = -3x – 7?
A. (2, -1)
B.(-2, 1)
C. (-2,-1)
D. (1,8)
E. (2, 1)
=========================================================
Explanation:
If we tried the x coordinate of choice A, then,
y = -3x-7
y = -3*2-7
y = -6-7
y = -13
This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.
Let's try x = -2
y = -3x-7
y = -3*(-2)-7
y = 6-7
y = -1
This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.
If we tried x = 1, then,
y = -3x-7
y = -3*1-7
y = -3-7
y = -10
Which shows that (1,-10) is a point on this line, which rules out choice D.
The visual summary is shown below as a graph. Only point C is on the red line.
The component form of the vector shown here is
A) (1, 1).
B) (2,4).
C) (1,3).
D) (3,5).
Answer:
C) <1, 3>
Step-by-step explanation:
A vector quantity has both magnitude and direction, to find the component form, you must subtract the terminal point which is indicated by the arrow from the initial point shown by the circle of which it begins.
n the expression below, the letters A,B, C, D and E represent the numbers 1, 2, 3, 4
and 5 in some order.
A×B +C ×D +E
What is the largest possible value of the expression?
Answer:
A × B + C × D + E
1 × 2 + 3 × 4 + 5
= 19
look at the adjoining figure and write 2 pairs of intersecting lines.
Answer:
Line AB and Line GHLine CD and Line FFConcept:
Intersecting lines are lines that overlap upon only one point. The number of lines can be two or more.
Intersecting lines can intersect at any angle.
Solve:
There are in total four intersecting points in the given figure.
As we can see from the figure, any two lines would intersect each other
Therefore, 2 pairs of intersecting lines can be any pairings of lines that are not in the same orientation.
Line AB and Line GHLine CD and Line FFHope this helps!! :)
Please let me know if you have any questions
Which statement is supported by the graph?
The bicycle has speed but not velocity.
The bicycle is moving at a constant velocity.
The bicycle has a displacement of 3 m.
The bicycle is not in motion.
Answer:
The correct answer is D. The bicycle is not in motion.
Step-by-step explanation:
In the position-time graph we can see that the position of the cycle hasn't changed when the time has changed (e.g. when time changes from 2s to 3s, the position remains 3m). Therefore, we can conclude that the cycle is not moving, and therefore answer D. is correct.
Answer:
its d
Step-by-step explanation: