Answer:
d = 3
Step-by-step explanation:
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( a + l)
where a is the first term and l the last term
Here a = 2, l = 59 and sum = 610 , then
[tex]\frac{n}{2}[/tex] (2 + 59) = 610
[tex]\frac{n}{2}[/tex] × 61 = 610 ( divide both sides by 61 )
[tex]\frac{n}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )
n = 20
Then the sequence has 20 terms with a₂₀ = 59
The nth term of an AP is
[tex]a_{n}[/tex] = a + (n - 1)d
where d is the common difference , then
2 + 19d = 59 ( subtract 2 from both sides )
19d = 57 ( divide both sides by 19 )
d = 3
Зx — 6 = 3х – ?
-6
6
З
-3
0
Answer:
3x--666667666666666666666666666666
help me pls. will mark brainliest
Answer:
(1,1) and (2,2)
Step-by-step explanation:
you have to locate points that will overlap with both shaded area
PLS HELP WILL MARK BRAINLIEST!
Answer:
81 x² - 4 y²
Answer C is correct.
Step-by-step explanation:
First, you have to find the area of the larger square.
Area of the larger square = (9x) × (9x)
= 81 x²
Then you have to find the area of the un shaded square,
Area of the unshaded square = (2y) × (2y)
= 4 y²
Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.
Area of the shaded region = Area of the larger square - Area of the unshaded square
= 81 x² - 4 y²
Hope this helps you.
Let me know if you have any other questions :-)
can someone give me the answer no explaining
Answer:
Greater than
Step-by-step explanation:
Answer:
5/3 is greater
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:never touch
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
Using these points, we can determine that the equation is as follows:
Line B: y = -2/3x + 7/3
And since Line A has the same slope, it would make Line A's equations like this:
Line A: y = -2/3x - 11/3
This makes these equations Parallel to each other because they have the same slope with different y-intercepts.
What is the vertex of Y=x^2+5x-7
Answer:
the vertex of this parabola is at (5/2, 47/4)
Step-by-step explanation:
Y=x^2+5x-7 is written in 'standard form' for a quadratic. Comparing this to
y = ax^2 + 5x - 7, we see that a = 1 and b = 5.
-b
The formula for the x-coordinate of the vertex is x = --------
5 2a
which in this case has the value x = ------- = 5/2
2(1)
Now use the quadratic formula to find the y-value of the vertex:
y = (5/2)^2 + 5(5/2) - 7, or
y = 25/4 + 25/2 - 7, or
y = 11.75 or 11 3/4
Thus the vertex of this parabola is at (5/2, 47/4)
Graph the equation on the coordinate plane using the slope and y-intercept.
y=−2x
Answer:
Step-by-step explanation:
Is this answer right?
Answer:
yes
Step-by-step explanation:
Answer:
Your answer is correct! Good Job :)
Step-by-step explanation:
You go out to dinner with 2 friends. The bill was $35.60, and you
add 20% tip. All 3 of you share the total cost equally. How much
money did each person pay?
Answer:
$14.24
Step-by-step explanation:
Geometry!
Use the diagram of triangle MNO where, X, Y, and Z are the midpoints of the sides.
Answer:
YZ = 7 , MO = 8
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
(11)
YZ = [tex]\frac{1}{2}[/tex] MN , that is
3x + 1 = [tex]\frac{1}{2}[/tex] (10x - 6) = 5x - 3 ( subtract 5x from both sides )
- 2x + 1 = - 3 ( subtract 1 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
Then
YZ = 3x + 1 = 3(2) + 1 = 6 + 1 = 7
(12)
XY = [tex]\frac{1}{2}[/tex] MO , that is
x - 1 = [tex]\frac{1}{2}[/tex] (3x - 7) ← multiply through by 2 to clear the fraction
2x - 2 = 3x - 7 ( subtract 3x from both sides )
- x - 2 = - 7 ( add 2 to both sides )
- x = - 5 ( multiply both sides by - 1 )
x = 5
Then
MO = 3x - 7 = 3(5) - 7 = 15 - 7 = 8
the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning what is the next time they will leave at the same time
Answer:
1 pm
Step-by-step explanation:
We have to find their LCM, or least common multiple
Multiples of 36: 36, 72, 108, 144, 180, 216, ......
Multiples of 45: 45, 90, 135, 180, ....
180 mins is their LCM.
180 mins = 3 hours
10am + 3hours = 1 pm
-Chetan K
A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.
The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]Reasons:
The general form of the equation of the simple harmonic motion of the
mass is d = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]
Combining the above values gives the modelling equation as follows;
[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]
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Write a linear equation that describes the problem.
What problem. You didn't attach anything or put it in the question.
La respuesta a un problema de división se llama
Answer:
Cociente: Español
Step-by-step explanation:
Quotient: English
please help. 15 points and brainliest if correct!
Answer:
2 and 3
Step-by-step explanation:
hope this helps!❄︎
f(x) = -x2
Domain and range
Answer: answer in attachment.
Answer:
Hindi ko na to I answer may nag answer na e
Explanation:
Brainlest po please please follow ko po kayo promisebasta brainlest mo ako
Simplify the expression.
I NEED HELP PLEASE!!!
Answer:
-27/64p^3
Tell me if you want a step by step. :)
Work out the value of R
Give your answer in standard form to an appropriate degree of accuracy.
Step-by-step explanation:
R = x²/y
Substitute
R = (4.8×10⁵)²/2.8×10⁴
= 4.8²×10¹⁰/2.8×10⁴
= 23.04×10¹⁰/28000
A right triangle is formed using point C and H as two of the vertices. Which point best represents the coordinates for point X, the third vertex of a triangle?
Answer:
um probably something like CX and HX
Step-by-step explanation:
no graph
PLEASE HELP!!!! Prove and state whether the functions below are inverse functions.
Answer:
Step-by-step explanation:
y = 5x - 2
5x = y + 2
x = [tex]\frac{y}{5}[/tex] + [tex]\frac{2}{5}[/tex]
y = [tex]\frac{x}{5}[/tex] + [tex]\frac{2}{5}[/tex] is inverse function of y = 5x - 2
5x - 2 and [tex]\frac{1}{5}[/tex] x + 2 are not inverse functions
i need a answer ASAP
i give extra points and brainliest and i will help you if you give me the answer!
Solve: 6 3/7 - 1 3/6
its mixed number fractions im having a really hard time with it pls help
A: 4 7/13
B: 4 39/42
C: 7 7/13
D: 7 39/42
Again, no links please! and explanation is optional.
Answer:
Option B is correct.
Step-by-step explanation:
6 3/7 = 45/7
1 3/6 = 9/6 = 3/2
=> 45/7 - 3/2
=> 90/14 - 21/14
=> 69/14
=> 4 13/14
Therefore, Option B is correct.
been working on this for a while and can’t figure it out, can someone help?
Answer:
x = 24 4/5
Step-by-step explanation:
Simply reverse this - add 20 to 4, and 3/5 to 1/5, and you have X.
1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________
Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2
________________________________
Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3
The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:
1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5
3. Alex would represent it as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
A number line is a system that can be used to show the positions of all directed numbers.
Thus, the solutions to the given questions are stated below:
1. Let the scuba diver's previous deepest dive be represented by d . Such that,
2.5 d = - 80 .......... 1
So that;
d + p = -80 ............ 2
From equation 1,
2.5 d = -80
d = -32 feet
From equation 2,
-32 + P = - 80
p = -80 + 32
= -48 feet
p = -48 feet
⇒ -32 + (-48) = -80
Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.
Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles
= 8.6 miles
Thus, since the distance to the store is more than 3.5 miles east of her home, thus the appropriate inequality that represents the situation is:
-5.1 + d > 3.5
The correct option is: A or C
3. Let the number be represented by n, so that:
[tex]\frac{1}{2}[/tex]n > [tex]1\frac{1}{3}[/tex]
Alex would represent the statement as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
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In a school egg drop challenge, 68 of the eggs broke out of 100 total. What percent of the eggs survived the drop?
Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
Answer:
The answer is 12.6
Step-by-step explanation:
See the solution in the picture.
answer this 1 question
Answer:
I have attached my answer below.
Step-by-step explanation:
Not sure if its correct or not. Hope this helps!!
what is the vertex of the parabola -2=3(x+3)^2?
Answer:
P(-3 , -2)
Step-by-step explanation:
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:
48 grapes,
Step-by-step explanation:
Firstly, let's sum up the ratio,
6+6+12=24
The fraction of grapes is therefore, 6÷24 or ¼
A ¼ of 192 is 48.
Signifying, there are 48 grapes.
A cheerilee teen willing to help,
stay positive, safe and Brainly!
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:-48 grapes
Explanation:-look at the attached picture :)
What percentage is a reduction from SEK 100 to SEK 90?
Answer:
10%
Step-by-step explanation:
The change is 90-100 = -10. As a percentage of the original amount, that is ...
-10/100 × 100% = -10%
The change from 100 to 90 is a reduction of 10%.
What is the slope for this table?
Answer:
look at the picture ..........
