Step-by-step explanation:
3n^2
First term => n=1 => 3(1)^2 =>3
Second term => n=2 => 3(2)^2 =>3x4=12
Third term => n=3 => 3(3)^2 =>3x9=27
Fourth term => n=4 => 3(4)^2 =>3x16=48
Tenth term => n=10 => 3(1)^2 =>3x10=300
Answer:
{3, 12, 27, 48, 300}
Step-by-step explanation:
For the first four terms, n = {1, 2, 3, 4}. For the tenth, n = {10}.
Then, applying the formula a(n) = 3n^2 to n = {1, 2, 3, 4, 10}, we get:
{3(1)², 3(2)², 3(3)², 3(4)², 3(10)²} = {3, 12, 27, 48, 300}
Is the triangle obtuse, acute, equilateral or right?
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
Tyrone has a fish tank that measures 36in. long, 24in. high, and 18 in. wide. He wants to fill the fish tank to a height of 14 inches. What will be the volume of water in the tank?
Answer:
Step-by-step explanation:
volume of water=l×w×h
l=length of tank=36 in
w=width of tank=18 in
h=height of water=14 in
volume=36×18×14
=9072 in³
The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.
Answer:
3 or 3/1 (the 1 is the denominator)
Step-by-step explanation:
the shape got 3 times bigger. let me know
please help me find the answer or at least give me the formula
Answer:
[tex]2\sqrt{2x}[/tex] or [tex]8x^2[/tex]
Step-by-step explanation:
first you find the distance between P and O which is 4n (use the distance formula -- [tex]\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}[/tex])
then find the distance between O and Q also using the distance formula; it gives you 4n
then find the hypotunuse by using the pythagorean theorem, [tex]a^2+b^2=c^2[/tex] which would be [tex]4n^2+4n^2=hypotenuse[/tex] and when you simplify it, you get [tex]8x^2[/tex] and if you need it in radical form, it would be [tex]2\sqrt{2x}[/tex]
Answer:
[tex]Hypotenuse = 4n \sqrt{2} [/tex]
Step-by-step explanation:
Catethus1=4n
Catethus2=4n
Hypotenuse=?
[tex]Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2} [/tex]
plz help me with the attcahment below
Step-by-step explanation:
...............MaRk As BrAiNeSt
Answer:
cos theta = BC/AC
Step-by-step explanation:
The cosine function is the ratio of the length of the adjacent side of one of the angles of a triangle to the length of the hypotenuse:
cos theta = BC/AC
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
1/20
Step-by-step explanation:
multiply 3/4 by 10 and multiply 7/10 by 4 then subtract fractions
30/40 - 28/40 = 2/40 divide it by 2 so we get the simplest form.
Answer
1/20
Step-by-step explanation
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
How much space is inside the steps?
Give an exact answer (do not round).
Give correct answer and I will give you brainlist
Answer:
0.045 m^3
Step-by-step explanation:
0.2 m x 0.15 m x 0.5 m = 0.015 m^3
0.2 m x 0.3 m x 0.5 m = 0.03 m^3
0.045 m^3
please help thank you!!!
Answer:
y = -180 + 3x
Step-by-step explanation:
Because AB = AC -> ABC is a isosceles triangle -> B = C
Because AB = BD -> ABD is an isosceles triangle -> A = D -> x = D
We have ADB + ADC = 180 -> x + ADC = 180 -> ADC = 180 - x (1)
We have x = D, and BAD + ADB + ABD = 180 -> ABD = 180 - 2x but B = C -> C = 180 - 2x (2)
With (1) and (2) We have DAC + ACD + ADC = 180
-> y + 180 -2x + 180 -x = 180
-> y + 360 - 3x = 180
-> y = -180 + 3x
Answer:
y=3x-180
Step-by-step explanation:
Above working is my step by step solution. Thank you.
Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.?
3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6.
3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0
3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0
3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.
Evaluate 4 - x, when x = -6
Answer:
10
Step-by-step explanation:
4--6
4+6=10
simplify
(x^a)^b-c×(x^b)^c-a×(x^c)^a-b
step by step...
Answer:
= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a
Or
= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)
Answer:
[tex]\left(x^a\right)^b-c\left(x^b\right)^c-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-ax^{ac}-b[/tex]
-------------------------
Hope it helps...
Have a great day!!
Need Help!!
Graph the first 6 terms of a sequence where a1 = −3 and d = 4.
Answer:
thats what i got hope you have a good day :)
Step-by-step explanation:
what is the nth term of
3, 18, 41, 72
if 29 cos 0=21 find the value of 1/sin0-tan0..
Answer:
Middle School mathematics still murky?
Clear things up with an instant 1 on 1 tutoring sesh
D = ______
R = ______
Answer:
picture unclear
Step-by-step explanation:
Answer:
. a real coordinate space of dimension n, written Rn or R n {\displaystyle ... C 1 > 0 , ∃ C 2 > 0 , ∀ x , y ∈ R n : C 1 d ( x , y ) ≤ q ( x − y ) ≤ C 2 d ( x , y ) . {\displaystyle \exists C_{1}>0,\ \exists C_{2}>0,\ \forall \mathbf {x} ,\mathbf ...
Step-by-step explanation:
plz help me with the attachment below
Answer:
57
Step-by-step explanation:
( 27 + 19 + 41 + 51 + 29 + 35 + k ) / 7 = 37
202 + k = 37 x 7
202 + k = 259
k = 259 - 202
k = 57
Answer:
K. = 57
Step-by-step explanation:
Give correct answer and I will give you branlist
Hello!
Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²
Good luck! :)
Answer:
97cm square
Step-by-step explanation:
Question 5(Multiple Choice
HELP QUICKKKKKKJJ
Worth 1 points)
(04.02 LC)
Solve the following system of equations:
x + 3y = -4
X + 5y = -6
(1, 1)
(-1, 1)
(1, -1)
(-1,-1)
The sum of twice a number and 13 is 47. Find the number.
Answer: 17
Step-by-step explanation:
In this problem, the phrase "a number" can be interpreted as a variable. In this case, let the variable be "x."
Thus, "twice a number" = "2x"
"and 13" = "+ 13"
"is 47" = "= 47"
Thus, the problem is simply 2x + 13 = 47.
Then, simply subtract 13 from both sides to get 2x = 34.
Then, simply divide both sides by 2 to get x = 17.
Because "the number" is "x," the number is 17.
Hope it helps :) <3 and lmk if you need more help
17
Step-by-step explanation:
you represent the unknown by a variable
for example X
2x +13=47
[tex]Solve:\\x= -x[/tex]
You can subtract a negative number from a positive number or add a positive number to a negative number
Example:
4 - (7) = -3
Or
-8 + 9 = 1
Whatever you are adding has to be greater than the number you are adding on too
Example:
-3 + 5 = 2
Notice how the five is greater than 3
Whatever you are subtracting has to be Greater than the number you are subtracting from.
Example:
5 - 8 = -3
Notice how the eight is greater than five.
The situation changed when adding or subtracting with negative numbers. Every situation is different.
Hope this helps!
Lorenzo’s test scores are shown below.
Lorenzo’s Test Scores
A dot plot titled Lorenzo's Test Scores. A number line going from 80 to 90. 0 dots are above 80, 81, and 82, there is 1 dot above 83, 2 above 84, 2 above 85, 2 above 86, 2 above 87, 0 above 88 and 89, and 1 above 90.
Anika’s test scores are shown below.
Anika’s Test Scores
A dot plot titled Anika's Test Scores. A number line going from 80 to 90. There are 0 dots above 80, 81, 82, and 83, 3 dots above 84, 2 above 85, 2 above 86, 3 above 87, and 0 dots above 88, 89, and 90.
Which statement compares the shape of the two dot plots?
There is a gap in both plots.
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
The data is widely spread across both plots.
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
In other words "D" trust me
(25 POINTS) (TIMED) Which statements about this system of equations are true? Check all that apply.
-x + 6 y = 16
8 x - 6 y = -2
O The x-variable will be eliminated when adding the system of equations.
O The y-variable will be eliminated when adding the system of equations.
O The sum of the system of equations is Negative 8 x = 14.
O x = 2
O y = 3
O There is only one solution to the system of equations.
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.
Have attached the picture which has the answers plus explains the solution...
Hope that helps
The simplification, its degree and number of terms of the given polynomials is given below.
What is polynomial?
Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer
Given:
1. (x-1/2)(6x+2)
Simplified form: 6x²-x-1
Name by degree : Quadratic
Number of terms: Polynomial.
2. (7x²+3x)-1/3(21x²-12)
Simplified form: 3x+4
Name by degree : Linear
Number of terms: Binomial.
3. 4(5x²-9x+7)+2(-10x²-18x-13)
Simplified form: 2
Name by degree : constant
Number of terms: monomial.
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ2
Eva conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 3 hours. What does this range say about the data?
A. The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
C. All the students surveyed spend exactly 3 hours surfing the Internet.
D. All the students surveyed spend an average of 3 hours surfing the Internet.
Answer
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
Explanation
The meaning of range is the difference between the largest and smallest numbers in a set.
In this case, it's possible that one of the students spends no time surfing the internet, and another student spends 3 hours. The range of the data would be 3. It's also possible that some students spend 20 hours surfing the internet, and other students spends 23 hours surfing the internet (although, that's obviously unreasonable).
Answer:
B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
Step-by-step explanation:
I'm going to leave this person anonymous, but they have deleted 2 of my answers and I'm sick of it, so please stop deleting my answers I'm not trying to violate brainly's rules in any way, shape, or form.
does this make sence to anyone
Juan runs in place for 2 5/6 minutes on Monday. He runs in place for 1 1/2 times as long on Tuesday.
Juan draws this model to represent the number of minutes he runs in place on Tuesday.
How many minutes does Juan run in place on Tuesday?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
12miles
Step-by-step explanation:
wink :)
What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement
Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.
Plz help, asap!!
This is a triangular prism
perimeter of the base is:
Height is:
Base area is:
Volume is:
Surface area is:
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
surface area:
Sorry I forget how to do surface area.
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
Answer:
900 minutes
To get explanation go here:
https://brainly.com/question/14424494
Drag each tile to the correct box.
Find the decreasing functions and arrange them in order from least to greatest y-intercept.
y = 2.5x + 10
y = -0.5x + 0.5
y = -4.5x + 3
y = -0.5x − 5
y = -2x + 7
y = -5x − 12
↓
↓
↓
↓
Answer:
from least to greatest y-int
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10
Step-by-step explanation:
