If the first term of an AP is 'a' and the common difference is 'd', then the sum of n terms of an AP is
[tex] \frac{n}{2} \times 2a + (n - 1)d[/tex]
What is the solution to this equation?
x + 13 = 34
A. X = 47
B. x= 19
o
C. x = 27
D. x= 21
SUBM
Answer:
21
Step-by-step explanation:
since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .
Therefore,x +13=34
x=34 -13
x=21(d)
Solve for X
5x-5=9x+3
Answer:
x=-2
Step-by-step explanation:
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
5x-5=9x+3
9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.
5x-9x-5=9x-9x+3
5x-9x-5=3
-4x-5=3
5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.
-4x-5+5=3+5
-4x= 3+5
-4x=8
x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.
-4x/-4=8/-4
x=8/-4
x= -2
based on one of the triangle congruence postulates the two triangles shown are congruent
Answer: b) FALSE
Step-by-step explanation:
In order to show triangle congruency, you must be able to prove one of the following theorems:
SAS: Side-Angle-Side
SSS: Side-Side-Side
AAS: Angle -Angle-Side
ASA: Angle-Side-Angle
HL: Hypotenuse-Leg (can only be used for right triangles)
We are only given information about two of the sides being congruent but no information on the third side or any of the angles so we canNOT prove the triangles are congruent.
Triangle ABC was translated according to the rule T4.5, –6.2(x, y) to form A’B’C’ as shown. What are the coordinates of point C of the pre-image
Answer:
(-5.5, 3.2)
Step-by-step explanation:
According to the question, the data provided in the question is as follows
(x,y) = (x + 4.5 , y -6.2)
Now
(x + 4.5 , y -6.2) = (-1,-3)
Therefore
x + 4.5 = -1
So, the x equals to
= -1 - 4.5
= -5.5
Now
y - 6.2 = -3
So, the y is
= - 3 + 6.2
= 3.2
hence, the coordinates of point C of x and y is (-5.5, 3.2)
Therefore the third option is correct
Answer:
C
Step-by-step explanation:
What is the probability of pulling jack, queen, or king from a deck of cards?
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me....
Prove that for any complex polynomial ^=−1,
the sum of the roots is zero. (Please state any theorem used).
Answer:
I dont get this ??
Step-by-step explanation:
What is the inverse of y= e^x+3 -4
Answer:
log(x + 1)inverse function y(x) = e^x + 3 - 4
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
4. All angles are formed by the intersection of two _______ at a point called the angle's vertex.
A) rays
B) lines
C) segments
THE HINT I WAS GIVEN: These objects have start with an endpoint and end with a line.
Answer: rays or lines
Step-by-step explanation:
Answer:
I believe the answer is: B.) lines
Hope this helps God bless!
IT'S URGENT, Help Me ASAP! PLEASEEEE
1) Write two linear inequalities
2) Draw and shade the graph
3) List two possible combinations of halls that can be rented for the workshops.
Answer:
1)
40x + 70y ≤ 280 (red on the graph)
100x + 120y ≤ 1200 (blue on the graph)
2) see attachment
3) x=5, y=1
40*5 + 70*1 ≤ 280. 270 ≤280
x=3, y=2
40*3 + 70*2≤280, 260 ≤ 280
If jasmine gets $3.00 every time her song gets 1500 streams how much money would she have if she got 3 million streams
Answer:
$2000
Step-by-step explanation:
3,000,000/1500=$2000
a, b, c and d are positive integers, such that a+b+ ab = 76, c+d+ cd = 54. Find (a+b+c+d)·a·b·c·d.
Notice that
(1 + x)(1 + y) = 1 + x + y + x y
So we can add 1 to both sides of both equations, and we use the property above to get
a + b + a b = 76 ==> (1 + a)(1 + b) = 77
and
c + d + c d = 54 ==> (1 + c)(1 + d) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
a + 1 = 7 ==> a = 6
b + 1 = 11 ==> b = 10
(or the other way around, since the given relations are symmetric)
and
c + 1 = 5 ==> c = 4
d + 1 = 11 ==> d = 10
Now substitute these values into the desired quantity:
(a + b + c + d) a b c d = 72,000
HELP PLEASE
X P
0 0.03
1 0.13
2 0.70
3 0.10
4 0.04
Use the probability distribution table to answer the question.
P ( 2 < X ≤ 4)
Enter your answer, as a decimal, in the box.
Answer:
0.14
Step-by-step explanation:
Find the equation of this line
the Answer is:
3/4x + 1/4
Answer:
y=3/4 x + 1/4
Step-by-step explanation:
y=mx+b
(5,4) first point
(-3,-2) second one
m=y2-y1/x2-x1 =-2-4/-3-5=-6/-8=-3/-4=3/4
find b when x=5 and y= 4
y=mx+b
4=3/4 (5) +b
4-15/4 =b
4 b=16-15
b=1/4
Mrs. Meyer's soap is $3.99 for 12 ounces. What is the cost per ounce?
Answer:
It's about 33 cents per ounce. The exact answer would be 0.3325
Step-by-step explanation:
Answer:
0.33
Step-by-step explanation: i did it on a piece of paper
I will be asking questions constantly to finish a class
Answer:
C
Step-by-step explanation:
so it has to go down,cross 0,-7, and then go up
y-axis is vertical
and since its a negative it would be in the lower quadrants
pls mark me brainliest
If the pattern rule is defined by the equation `t = 6n`, where `t` is the term value and `n` is the term number, what is the one hundredth term?
Answer:
600
Step-by-step explanation:
Given
equation t = 6n
n is term number
we have to find 100th term.
Thus, term number is 100
substituting 100 in place of n in equation t=6n , we can find the value of 100th term
t = 6*100 = 600
Thus, 100th term is 600.
Determine the value of y.
A. 90
B. 60
C. 180
D. 45
(i need this rq)
Answer:
D. 45°
Step-by-step explanation:
Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°
Use the method of completing the square to write the equations of the given parabola in this form: (y-k)=a(x-h)^2 where a =0, (h,k) is the vertex, and x=h is the axis of symmetry. Find the vertex of this parabola: y=-x^2-2x-5
Answer:
Step-by-step explanation:
There are but a few rules we have to follow when completing the square. However, they are very important rules so we have to be careful. First and foremost, the coefficient on the x-squared term HAS to be a positive 1. If it is not, we have to manipulate the function so it is a positive 1. Then we take half the linear term, square it and add it to both sides (and sometimes this can be very tricky. It is tricky here, so pay attention.)
We begin by separating the x terms from the constant by setting the parabola equal to 0 and moving the constant:
[tex]-x^2-2x=5[/tex]
The coefficient on the x-squared is a negative 1, so we factor out the negative:
[tex]-(x^2+2x)=5[/tex]
The linear term is 2. We take half of 2 which is 1, square 1 to get 1 and add it into the left side. BUT don't forget that we have a -1 out front of the ( ) refusing to be ignored. It is a multiplier. That means that we didn't add in a +1, we added in -1(1) which is -1. That is what we add to the right side:
[tex]-(x^2+2x+1)=5-1[/tex] which simplifies to
[tex]-(x^2+2x+1)=4[/tex]
The reason for this process is that by completing the square you create a perfect square binomial on the left. We rewrite the parabola in terms of that perfect square binomial:
[tex]-(x+1)^2=4[/tex] which simplifies to
[tex]-(x+1)^2-4=y[/tex]
From this you can now determine that the vertex of the parabola is (-1, -4)
which of the following statements are Ture...?
ANWSER:
[] The prime factorization of 14 is 2 times 7.
[] The prime factorization of 21 is 3 times 7.
[] 21 is a prime number.
[] 14 is a composite number
[] The GCF of 14 and 21 is 14.
[] The LCM of 14 and 21 is 42
Answer:
1, 2, 4, 6 are true statements
what is the estimate of 14.8(20.7)
Answer:
306.36 is the answer
Step-by-step explanation:
Answer:
306.36
Step-by-step explanation:
hope it helps! x
Solve this system of equations by
using the elimination method.
x + y = 15
5x - y = 9
Answer:
x=4 and y=11
Step-by-step explanation:
x+y=15
5x-y=9
x+5x-y+y=15+9
6x=24
X=4
x+y=15
4+y=15
y=11
The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..
Answer:
First tale nth term and find relation of a , d, n
Try yourself
Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11
Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000cm^3 cubed. The base of the box is 25 cm by 10 cm.
Answer:
Complete question:
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000 cm^3 cubed. The base of the box is 25cm by 10cm.
How tall is the box of cereal?
Answer: 40cm
Step-by-step explanation:
Given that :
A box is normally in the shape of a cube
formula of volume of a cube;
We want to find the height(tallness)
Volume=LengthxWidthxHeight
Volume = 10,000cm^3
Base of box = 25cm by 10cm,
Base of box = Length × width
Therefore:
Length = 25cm, Width = 10cm
Volume = Lengh × Width × Height
10,000cm^3 = 25cm × 10cm × Height
10,000cm^3 = 250cm^2 × Height
Height = 10,000cm^3 ÷ 250cm^2
Height = 40cm
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?
Answer:
25 degrees
Step-by-step explanation:
The angle WRS for the given triangle will be ∠WRS = 25°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that the triangle has an angle as shown in the image
The angle TRW → 25x + 30 = 180 -5x
→ x = 5°
Now the angle WRS → 180 - ( 25x + 30)
∠WRS = 25° hence, the correct answer will be this.
For more about the angle
brainly.com/question/13954458
#SPJ6
I WILL MARK YOU BRAINLIEST!!!!
Answer:
0; one real roots
* the answer is C
The following are the ages (years) of 5 people in a room: 15, 17, 22, 14, 19 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?
Answer:
27
Step-by-step explanation:
Given that:
(15+17+22+14+19+x) divided by 6 = 19
(87 + x) divided by 6 = 19
87 +x = 114
so x = 27.
Therefore the age of person 6 = 27
What’s the sum for 1/6+square root 6
Answer:
1/6 +√6 = 2.6162
Step-by-step explanation:
Answer:
B:2.6161564...
Step-by-step explanation:
edge2020
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.
Answer: - 2.5
Step-by-step explanation:
Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.
From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.
(-3 + - 2) / 2 = - 5/2 = - 2.5
QUESTION 9 of 10: Your insurance company bills you $687.89 every 6 months for your premium payments. You decide to pay per month.
What is the monthly premium?
O a) $114,65
b) $120.66
c) $144.78
d) $687.89
Answer: $114.65
Step-by-step explanation:
From the question, we are told that a insurance company bills a customer $687.89 every 6 months for your premium payments.
Since the customer has decided to be paying per month, we divide the amount paid for the 6 months which is $687.89 divided by 6. This will be:
= $687.89/6
= $114.65
The person will pay $114.65 monthly
Answer:
114.65
Step-by-step explanation: