Answer:
Step-by-step explanation:
2000264(X) b x a =177777082
if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression
Answer:
8, 4, 0, -4, - 8, .........
Step-by-step explanation:
The n the term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and a₁₅ = - 48, then
8 + 14d = - 48 ( subtract 8 from both sides )
14d = - 56 ( divide both sides by 14 )
d = - 4
To obtain the progression subtract 4 from each term, that is
8, 4, 0, - 4, - 8, ......
Answer:
8, 4, 0, -4, -8, -12, -16, -20,...
Step-by-step explanation:
Arithmetic Progressions
The general term of an arithmetic progression (A.P.) is:
[tex]a_n=a_1+(n-1).r[/tex]
Where:
a1 = First term
an = Term number n
n = Number of the term
r = Common difference
We are given: a1=8, and a15=-48, n=15. Calculate r:
[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]
[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]
[tex]\displaystyle r=\frac{-56}{14}[/tex]
r = -4
We can get the terms of the progression by subtracting 4 to the previous term.
Thus, the first terms of the progression are:
8, 4, 0, -4, -8, -12, -16, -20,...
Find m angle Y
A.41°
B.82°
C. 98°
D. 102°
-7.8× (- 1.5)
plz help ASAP
Answer:
11.7
Step-by-step explanation:
(−7.8)(−1.5)
Hope ths helps
Mr. Sanchez earns a 14% commission on the sales he makes for Sanchez
Rentals. How much commission would he make if he sold $3500 last
week?
not multi choice u type an answer !!!
1. The length of the base of an isosceles triangle is y. The length of a leg is 3y+2. The perimeter of the triangle is 46. Find y.
Step-by-step explanation:
Length of the base = y
Length of a side = 3y + 2
Length of the third side= 3y + 2 (Isosceles triangle)
Perimeter = Sum of all sides
46 = y + 3y + 2 + 3y + 2
46 = y + 2(3y +2)
46 = y + 6y + 4
46 = 7y + 4
46 - 4 = 7y
42 = 7y
42/7 = y
6 = y
Therefore, the length of the base is 6
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)
Answer:
g(4) = 5, fg(2) = 7/-3, gˉ¹(7) = 2
Step-by-step explanation:
i.) g(4)= 2(4) -3
g(4) = 8 -3
g(4) = 5
ii.) fg(2)
g(2) = 2(2)-3
g(2)= 4-3
g(2) = 1
fg(2) = 2(1)+5/1-4
fg(2) = 7/-3
iii.) g(x) = 2x -3
g(y) = 2y -3
x = 2y -3
x-3 = 2y
y= (x-3)/2
gˉ¹(7) = ((7)-3)/2
gˉ¹(7) = 4/2
gˉ¹(7) = 2
Write a linear equation to represent this
i need the answer asap i’ll make you the brainliest
Answer
the second one
The triangle and the rectangle have the same area explain why
Answer:
w=2.5
Step-by-step explanation:
this is because to find the area of a triangle you have to multiply base times height divided by 2 therefore if you want the rectangles have the same area of the triangle the with must be 2.5 this way you will get the same area as the triangle
proof
5x6=30/2=15 area of the triangle
2.5x6=15
as you can see the triangle and the rectangle have the same area
therefore the width of the rectangle is 2.5
Choose the best term from the box.Write it on the blank
equation
• exponent
• factor
• multiple
• power
• product
(n)__tells the number of times the base is used as a(n)__.
.
50 is a(n)___of 10 because 5 × 10 = 50
Answer:
Exponent tells the number of times the base is used as a(n) power.
50 is a(n) multiple of 10 because 5 × 10 = 50
Step-by-step explanation:
Easy and please choose mine was the most helpful. I want to get Brainliest.
Answer:
(n)_exponent_tells the number of times the base is used as a(n)_power_.
50 is a(n)__multiple_of 10 because 5 × 10 = 50
Step-by-step explanation:
exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.
multiple: A Multiple of a number is that number times any whole number.
power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.
A cookie factory uses 3 bags of flour in each batch of cookies. The factory used 2 7/10 bags of flour yesterday. How many batches of cookies did the factory make.
please help me this question
Answer: (b) 48 cm
==========================================================
Explanation:
Divide the perimeter of the square over 4 to get the side length s.
s = P/4
s = 48/4
s = 12
The side length of the square is 12 cm. This leads to an area of...
A = s^2
A = 12^2
A = 144
The area of the square is 144 square cm.
The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.
If the length of the rectangle is 14 cm, then the width must be
W = A/L
W = 140/14
W = 10
This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)
The last step is to compute the perimeter of the rectangle
P = 2(L+W)
P = 2(14+10)
P = 2*24
P = 48
You can use the formula P = 2L+2W, but it's effectively the same thing.
The perimeter of the rectangle is 48 cm.
Enter an equation. Then solve. Of the songs downloaded from a music web site on Tuesday, 1/ 6 were country songs and 3/ 10 were rock songs. What fraction, x, of the songs were country or rock songs?
Answer:
7/15
Step-by-step explanation:
Fraction of the songs being country / rock songs: 1/6 + 3/10 = 7/15
Chuck's collection of 19 marbles. He has 3 yellow marbles, 4 red marbles, 4 orange marbles, 2 purple marbles, 1 green marble, and 5 blue marbles.
What is the ratio of green marbles to red marbles in his collection?
A.
1 to 4
B.
1 to 19
C.
4 to 1
What is the slope of this line? Enter your answer as a fraction in simplest term.
12. Antara yang berikut, yang manakah terlibat dalam sistem mekanikal pintu gelangsar
automatik.
I Menerima dan menukar isyarat input dari alat kawalan jauh.
II Terdiri daripada takal dan tali sawat.
III Berfungsi untuk membuka dan menutup pintu.
IV Gear pada motor membantu pergerakan mudah.
A I, II, dan III
C I, III, dan IV
B I, II, dan IV
D II, III, dan IV
Which of the following inequalities is correct?
-9 ≥ -7
-10 > |-10|
6 ≤ |-6|
0 < -13
Answer:
The last one
Step-by-step explanation:
Answer:6 should be right
Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation
|-6|=6
6 is less than or EQUAL to 6
Find the slope pls help me I need this
Answer: 3/2x
Step-by-step explanation: it going up 3 units and right 2 units. And since slope is rise/ run it 3/2x
How many solutions does the following equation have?
4(x-2)-2=2x+2x-10
Answer:
all real numbers
Step-by-step explanation:
PLZ HELP HURRY. Select the correct answer. Which of the following inequalities is graphed on the coordinate plane?
Answer: A
Step-by-step explanation: The reason is because a less than or equal symbol makes the solutions all below the points.
Alguém pode me ajudar por favor???????????
Answer:
The asnwer is the first one
Step-by-step explanation:
thx for the poins
BRAINLIEST TO THE CORRECT ANSWER! 20 POINTS!!
Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?
The statement that best explains why Maricella's strategy is incorrect based on the distribution property and order of operation is option A.
Recall:
When given an equation involving brackets, the distribution property must be applied first which involves multiplying every term in a bracket by the term outside the bracket.In the equation given, to solve for x, Maricella needs to apply the distribution property by using -2 to multiply each term in (3x - 4) and using +3 to multiply every term in (x + 1).
The next step will now be addition and subtraction of like terms.
Therefore, the statement that best explains why Maricella's strategy is incorrect based on the distribution property and order of operation is option A.
Learn more about distribution property on:
https://brainly.com/question/11279503
Answer:
A!!!
Step-by-step explanation:
edge2022
Solve: 0.072 = w - 3.6 w = _____
Answer:
Step-by-step explanation:
0.072=w-3.6w
w= -0.0276923
Answer:
w = 3.672
Step-by-step explanation:
0.072 = w - 3.6
0.072 + 3.6 = w
3.672 = w
Which of the following sets of numbers could represent the three sides of a triangle?
1) {15, 23, 37}
2) {6,8,14}
3) {7, 22, 30}
4) {7, 21, 30}
Answer:
NONE
Step-by-step explanation:
You have to do a² + b² = c²
To do it you have to put the three numbers from least to greatest for it to work. They already are so that's good.
15² + 23² = 37² (solve)
225 + 529 = 1369
754 ≠ 1369
6² + 8² = 14² (solve)
36 + 64 = 196
100 ≠ 196
7² + 22² = 30²
49 + 484 = 900
433 ≠ 900
7² + 21² = 30²
49 + 441 = 900
490 ≠ 900
I don't know what happened, but none of these would work.
I even used a pythagorean theorem calculator to check my work and none of them match.
Hope this helps!
∀x∀y(((x ≥ 0) ∧ (y < 0)) → (x – y > 0))
A. A non-negative number - a negative number is positive.
B. For any two real numbers, the first is non-negative, the second is negative, and the difference is positive.
C. For every non-negative number, one can find a negative number so that the first number minus, the second is positive.
D. One can find a non-negative number and a negative number so that the first minus, the second is positive.
E. One can find a non-negative number so that for any positive number chosen, the first number minus, the second is positive.
Answer:
B. For any two real numbers, the first is non-negative, the second is negative, and the difference is positive.
Step-by-step explanation:
To answer this question, I'll analyse the mathematical statements one at a time
The analysis is as follows:
∀x -> This means real number x
∀y -> This means real number y
(x ≥ 0) -> Such that real number x is greater than or equal to 0. In other words, x is positive
∧ -> and
(y < 0)-> y is less than 0. In other words, y is negative
So, there are two real numbers: x and y
→ (x – y > 0) -> Their difference is greater than 0. In other words, their difference is positive
When the analysis above is compared to the list of given options; the option that match is B.
Hence, option B answers the question.
simple explanations please! geometry
5. (3x2 – 13x – 10) ÷ (x – 5)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( 3 {x}^{2} - 13x - 10 ) \div (x - 5) = \\ [/tex]
[tex] \frac{3 {x}^{2} - 13x - 10 }{x - 5} = \\ [/tex]
[tex] \frac{(x - 5)(3x + 2)}{(x - 5)} = \\ [/tex]
[tex]3x + 2[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Factorise
b) x + 3x - 40
john is 2 years younger than his sister, annie. Last year, John was half Annie's age. How old are john and Annie now?
Answer:
John is 3 and Annie is 5 because to be half of someone's age while being to years younger it would have to be 2 and 4 - but then a year passed and so the are now 3 and 5.
Step-by-step explanation:
The present age of John is 3 years
The present age of Annie is 5 years
Given that John is 2 years younger than Annie's age
Let the present age of John be "J"
Let the present age of Annie be "A"
According to the given situation
[tex]\rm J = A -2........(1)\\[/tex]
One year ago the age of John = [tex]\rm J-1[/tex]
One year ago the age of Annie = [tex]\rm A -1[/tex]
According to the given situation
[tex]\rm\dfrac{A-1}{2}= J-1.........(2)[/tex]
On solving for equations (1) and (2) we get
A = 5 and J = 3
So the present age of Annie is 5 years
The present age of John is 3 Years
For more information please refer to the link given below
https://brainly.com/question/21835898