Answer:
f(n) = -6n - 10.
Step-by-step explanation:
This is arithmetic sequence with first term a1 = -16 and common difference d = -6.
So f(n) = a1 + d(n - 1)
= -16 - 6(n - 1)
= -16 - 6n + 6
= -6n - 10.
Checking:
f(10) = -6(10) - 10 = -70.
The function that defines the sequence is f(n) = -6n - 10.
What is an Arithmetic Sequence ?A sequence of numbers which have a relation between them and the consecutive numbers increase or decrease by a fixed amount is called as an Arithmetic Sequence.
The sequence given is -16,-22,-28,-34
This is arithmetic sequence
first term a1 = -16
common difference d = -6.
The nth term of an arithmetic sequence is given by
f(n) = a1 + d(n - 1)
f(n) = -16 - 6(n - 1)
f(n)= -16 - 6n + 6
f(n)= -6n - 10.
To verify this
f(10) = -6(10) - 10 = -70.
Therefore , The nth term is given by f(n)= -6n - 10.
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The sale price of an item is Rs 176. If a discount of 20% is allowed on its Marked price, what is the marked price of the item
Answer: $140.80
Step-by-step explanation:
Original price = Rs. 176.
Marked price has discount that is 20% lower than the above.
= 20% * 176
= $35.20
Marked price = Sales price - discount
= 176 - 35.20
= $140.80
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
What is the distance between (7,-3) and (4, -5)
Answer:
(3,2)
Step-by-step explanation:
A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
PLEASEEEE I BEG YOU PLZZZ SOMEBODY GIVE ME THE RIGHT ANWSERSS TO THESEEE AND I DONT WNAT ANY WRONG ONES ARE REPORT JUST HELPP CUSE LAST WEEK EVERYBODY GOT IT WRONG!!!!!
Answer:
Step-by-step explanation:
Question 1: C
1 multiplied by 5 = 5
1 plus 5 = 6
So you get: (x+5)(x+1) which means x = -5 or -1
Question 2: B
2 multiplied by -4 = - 8
2 plus -4 = -2
So you get: (x-4)(x+2) which means x = 4 or -2
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.
What is the length of AC?
Answer:
Step-by-step explanation:
AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]
=12
Simplify the expression.
4(5x + 2) + 7x + 6 =
12x + 8
27x + 14
27x + 8
27 + 14x
Answer: =27x+14
Step-by-step explanation: hope this help :)
Let's simplify step-by-step.
4(5x+2)+7x+6
Distribute:
=(4)(5x)+(4)(2)+7x+6
=20x+8+7x+6
Combine Like Terms:
=20x+8+7x+6
=(20x+7x)+(8+6)
=27x+14
Answer:
=27x+14
Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15
A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.
Answer:
the correct answer is C the system of equations has no solution.
Trapezoid K prime is the image of trapezoid K after a series of transformations. On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7). Bella and Marco described the sequence of transformations in different ways. Bella’s Sequence Marco’s Sequence 1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation 2. a rotation of 180 degrees about the origin 3. a translation of 1 unit down 1. a reflection of trapezoid K across the x-axis 2. a dilation by a scale factor of Three-halves with the origin as the center of dilation 3. a translation of 1 unit down Which sequence or sequences are correct and why? Only Bella is correct. Only Marco is correct. Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used. Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.
Answer: bella, edge 2021 bb
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point either up, left, right or down,
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
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How do you find 15% of 160?
The first step in solving 3+7(x-5)=2x+16 is to
Multiply out the things in the brackets.
3+7(x+5)=2x+16
3+7x+35=2x+16
Bring the x's over to one side and the numbers to the other side.
7x-2x=16-35-3
5x= -22
Michael is going to invest in an account paying an interest rate of 5.8% compounded
monthly. How much would Michael need to invest, to the nearest dollar, for the value
of the account to reach $260 in 12 years?
Answer:
P=130
Step-by-step explanation:
solve CORRECTLY for brainly and 20 points
Answer:
k/4 + 3 = 14
k = 44
Step-by-step explanation:
Step 1: k + 12 = 56
Step 2: k = 56 - 12
Step 3: k = 44
Multiply both sides of the equation by 4Subtract from both sidesSubtract 12 from 56 to get 44Answer:
The answer are
t=4
f=4
e=2
k=44
a=-4
n=11
can anyone solve this
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
Which expressions are equivalent to 3(6+b)-(2b+1)
Answer:
The answer is b+17
Step-by-step explanation:
Y=x^4-4x^3.FInd the value of u when x=-1
Escribir un numero entero que represente cada una de las expresiones a. Un globo aerostatico 200 m sobre el nivel del mar. b. 500 años antes de cristo. c. Una deuda de L. 600.00 d. 7 minutos de retraso e. 2 grados bajo cero f. El delfin salto 4 metros sobre el nivel del mar.
Answer:
a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].
Step-by-step explanation:
a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].
b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].
c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].
d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].
e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].
f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].
For the equation: 4x+y=10 what does x equal if y=-6?
Answer:
x = 4
pls mark as brainliest...
Answer:
x=4
Step-by-step explanation:
4x+y=10 then, plug in y
4x+(-6)=10 then, isolate x by adding 6to both sides,
+ 6 +6 then, divide by 4 on each side
4x/4=x
16/4=4
x=4
Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)
Answer:
3(4y + 6)
6(3 + 2y)
2(9+6y)
Step-by-step explanation:
When factored, all of them are equivalent to 12y + 18.
Answer:
6(2 + 3y), 6(3 + 2y), and 3(4y + 6)
Step-by-step explanation:
6(2 + 3y)= 18y+12
2(6 + 9)=30
209 + 6y)= can't factor
6(3 + 2y)= 12y+18
3(4y + 6)=12y+18
hope this helps :)
does this table represent a liner or nonlinear function
Answer:Nonlinear
Step-by-step explanation:
The ratio is 1:8 meaning if you divide the second part by 8 it should get you the first part but 16/8 is 2 not 3 therefore it is not linear
help please!!!!!!!!! Which image is a reflection of the black polygon in quadrant I?
On a coordinate plane, the black polygon is reflected across the y-axis to form the red polygon.
the black polygon in quadrant I
the red polygon in quadrant II
the blue polygon in quadrant III
the green polygon in quadrant IV
Answer:
The red polygon
Step-by-step explanation:
Think of the quadrants:
The "top right" one is quadrant I
The "top left" one is quadrant II
The "bottom left" one is quadrant III
The "bottom right" one is quadrant IV
When it says "reflected across y-axis", think of the y-axis as a "mirror"
Since the black polygon is in quadrant I, think of it looking into the mirror, or y axis. It is reflecting into quadrant II.
The red polygon is in quadrant II.
Sorry! I know this is a really weird explanation, but hope it helps!
Answer: The answer is the red polygon in quadrant ll (B)!
- just like the person above
Step-by-step explanation:
Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?
Answer: 1/2
Step-by-step explanation:
There are 8 movies in total.
4 of those movies are romance movies.
The probability of picking a romance movie is the proportion of romance movies to the total number of movies.
= Number of romance movies / Number of total movies
= 4 / 8
= 1 / 2
Answer:
1/2
Step-by-step explanation:
Pls help I really need this
Answer: 45 sq ft
Step-by-step explanation:
(9*10)/2 bc its a right triangle
90/2
45
What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?
Answer:
12x × 1x × 3x = 36x
)))))))))))))))))))
All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph of the function,
⇒ y = (5x + 7) (2x - 1) (x - 4)
Now,
Find x - intercept of the equation as;
Substitute y = 0, we get;
⇒ y = (5x + 7) (2x - 1) (x - 4)
⇒ (5x + 7) (2x - 1) (x - 4) = 0
This gives three conditions as;
⇒ 5x + 7 = 0
And, 2x - 1 = 0
And, x - 4 = 0
After solve we get;
⇒ 5x + 7 = 0
⇒ x = -7/5
And, 2x - 1 = 0
⇒ x = 1/2
And, x - 4 = 0
⇒ x = 4
Hence, All the x - intercept = -7/5 , 1/2 , 4.
Therefore, All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
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how to find cp if loss and sp are given
Step-by-step explanation:
[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !
When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]
[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?
We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
⟶ [tex] \text{CP - SP = Loss}[/tex]
Move SP to right hand side and change it's sign :
⟶[tex] \text{CP = Loss + SP}[/tex]
This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?
Answer:
Ms. Day bought 5 blankets and 4 pillows.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of blankets and [tex]y[/tex] denotes number of pillows.
Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.
[tex]16x+10y=120[/tex]
Divide this equation by 2.
[tex]8x+5y=60\,\,...(i)[/tex]
Ms. Day bought 9 items.
[tex]x+y=9[/tex]
Multiply this equation by 5.
[tex]5x+5y=45\,\,...(ii)[/tex]
Subtract [tex](ii)[/tex] from [tex](i)[/tex]
[tex]3x=15\\x=5[/tex]
Put [tex]x=5[/tex] in [tex]x+y=9[/tex]
[tex]5+y=9\\y=9-5\\y=4[/tex]
Therefore,
Ms. Day bought 5 blankets and 4 pillows.
If the measure of angle 1 is 110° and the measure of angle 3 is (2x+10)", what is the value of x?
w
1
4
2.
3
50
55
60
Save and Fxit
S
Answer:
X is equal to 50..
Step-by-step explanation:
as angle 1 and 3 are equal
2*50+10
100+10
is 110
so X is 50
When asked to write the prime factorization of 175, a student wrote 7 dotmath 25. Complete the explanation of the error and enter the correct answer.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
[tex]175=7\times 5\times 5[/tex]
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
What is the GCF of 45x^5
and
36x^9
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so