2 + 6 + 18 + 54 + ...
This is a geometric sum and there is a way to find the sum of however many terms as you would like.
The initial term is S1 = 2, the ratio of successive terms is r = 3.
The sum for a geometric sequence of the first n terms is given by
Sn = S1(1 - rn)/(1 - r)
Apply this formula for n = 10.
Simplify the expression
8h+(−7.3d)−14+5d−3.7h.
physics book is moved once around the perimeter of a table of dimensions 2.0 m by 0.5 m.
(a) If the book ends up at its initial position, what is its displacement?
(b) What is the distance traveled?
Step-by-step explanation:
(a) 0. no displacement.
(b) rectangle perimeter :
2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m
Which of the ordered pairs is a solution to the system of inequalities?
y ≥ 3
y > x
(-3, 2)
(2, 3)
(-4, 3)
(0, 0)
The area of a rectangle is 60 square inches.
The length is x – 3, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A=lw
X=7 because 7-3 = 4, 7+8= 15,15x4=60.
If $150 is shared among 25 people, how much does each person receive?
Find x and y. Give reasons to justify your solution. Pleaseee help
Answers:
x = 40 and y = 40
========================================================
Explanation:
The three angles involving x add up to 180 since they form a straight line or straight angle.
3x+0.5x+x = 180
4.5x = 180
x = 180/(4.5)
x = 40
Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.
0.5x = 0.5y
x = y
40 = y
y = 40
In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.
PLEASE HELP MEEE
1st pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
2nd pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠A.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠B.
Answer:
x1=15, x2=10, angle A=45, angle B=135
Step-by-step explanation:
1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15
2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10
since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135
Answer:
Refer to the explanation for the answer!
Step-by-step explanation:
Hello! Here is what I've found:
<ABC and <DBC in the first picture are both 30 degrees.
<ABC and <DBC in the second picture are both 10 degrees.
For m<A: It would be <A = x and <B = 3x
For m<B: It would be <A = 3x and <B = x
Evaluate 7P4 and 10C6 .
3.(08.01 MC)
Find the length of the base of a square pyramid If the volume is 48 cubic inches and has a height of 9 inches.
O 4 inches
O 8 inches
O 16 inches
0
24 inches
Answer:
4 inches
Step-by-step explanation:
The formula is L=√((3×V)/h)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
D, y+8=2(x_4)
Step-by-step explanation:
y=ax+by=2x+b_8=8+bb=_163. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to
the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
Solve for the unknown variable:
Answer:
if it's a^2+b^2 question,the answer is 25.
Answer:
c =25
Step-by-step explanation:
a^2 + b^2 = c^2
15^2 +20^2 = c^2
625 =c^2
25=c
Find the domain of the function.
Answer:
all real numbers except x=8
Step-by-step explanation:
There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.
The domain is all real numbers except x=8.
In interval notation: (-∞, 8) U (8, ∞)
Please see screenshot.
Could someone help?
Answer:
56/100
Step-by-step explanation:
The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.
If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.
Answer:
the answer to your question Is B $5,378
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
$9.00
$0.09
$54.00
$8.00
Answer:
I'm thinking is I'm not sure is is answer 0.9
Step-by-step explanation:
am not sure my answer guys because naka tulong din na man too
A fruit market must spend less than $225 for an order of apples and oranges. A pound of apples costs $0.50 and a pound of oranges costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of apples than oranges. Which choice is a reasonable solution?
Answer:
Oranges :100 pound
Apples : 250 pound
Step-by-step explanation:
A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?
=========
0.5p + 0.75m <= 225
p = m + 50
-------------------
Substitute for "p" and solve for "m"::
0.5(m+50) + 0.75m <= 255
0.5m + 25 + 0.75m <= 255
2.25m <= 325
---
m <= 144.44
--------------------
# of oranges : 100 pound
# of pound of apples: m+50 = 250 pound
Hope you understand :)
Pls mark me as brainiest
Answer:
Answer choice C should be more Resonable.
Step-by-step explanation: It is very obvious
because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove? 3. 52 (22 minus n) = 0. 24 StartFraction 22 minus n Over 3. 52 EndFraction = StartFraction 24 Over 100 EndFraction StartFraction 3. 52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction 3. 52 (22 minus n) = 0. 24.
Answer:
The correct answer is 33.4516
Approximately it is 33.452
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
To find the parallel :
First of all, Parallel equations should have the same slope and a different y-intercept!
Take the equation of a linear function : y = mx + b, the slope here is m and the y intercept is b.
When we’re given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!
Practice
We already know our equation will be in the form y = mx + b
And we also know that the slope will be the same : m = 4/7
So y = 4/7x + b
Lets find b !
The line passes through the point (0,0) of origin :
0 = 4/7*0 + b
b = 0
So the y intercept is b = 0
And finally the equation will be :
y = 4/7x
Good Luck
In 1855, Louis Remme traveled from Sacramento, California, to Portland, Oregon, stopping to rest for only 10
hours of the 143 hours it took him to reach Portland. If his average speed while traveling without resting was 5
miles per hour, how many miles did Louis Remme travel?
A 665
B 705
C 715
D 765
Answer:
A. 665 milesStep-by-step explanation:
Time in travel:
143 - 10 = 133 hrsAverage speed is 5 mph
Distance travelled:
d = std = 5*133 = 665 milesCorrect choice is A
Total time taken
143-10133hrsDistance
Speed×Time133(5)665miOption A
Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Will make brainliest
See the steps below:
x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32The simple process of counting the number of observations (cases) that are classified into certain categories is called
Answer:
tabulation. the simple process of counting the number of observations (cases) that are classified into certain categories; a frequency count; counting the number of responses in categories. one-way tabulation. categorization of single variable existing in a study.
Step-by-step explanation:
Helppppppppp pleaseeee
Step-by-step explanation:
the first one is:
2 so not th second one
Answer:
Step-by-step explanation: We can solve this in two ways: Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.
Solve The Equations:
y = 2x+9
y = -x-3
Set them equal to each other (to find x such that both equations will return the same value for y).
-x-3 = 2x + 9
-3x = 12
x = -4
Use x=-4 in either equation to find y:
y = -x-3
y = -(-4)-3
y = 1
===
The point is (-4,1). That is the point that satisfies both equations:
1) y = 2x+9
y = 2(-4)+9
y = 1, and
2) y = -x-3
y = -(-4)-3
y = 1
=====
We can also solve by graphing and finding the point at which the two lines intersect. A graph is attached.
Simplify square root of negative 49.
Answer
7 i i think
Step-by-step explanation:
The price of Stock A at 9 AM was $12.73. Since then, the price has been increasing at the rate of $0.06 per hour. At noon, the price of Stock B was 13.48. It begins to decrease at the rate of $0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answer:
Let the hours when they equalize=h, then we have:
12.25 + .13h=13 - .09h
.13h + .09h=13 - 12.25
.22h=.75 divide both sides by .22
h=.75/.22
h=3 9/22, hours, when they will equalize.
The stock prices will be the same in 3.4 hours.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
At 9 a.m., the price of Stock A was $12.73. Since then, the price has risen at a pace of $0.06 per hour. Stock B was trading at 13.48 at midday. It starts to fall at a pace of $0.14 each hour.
Let's assume the hours would be h when to equalize,
As per the given question, we can write the equation as:
12.25 + 0.13h = 13 - 0.09h
Rearrange the terms of h in the above equation,
0.13h + 0.09h = 13 - 12.25
Combine the likewise terms in the above equation,
0.22h = 0.75
Divide both sides by 0.22
h = 0.75/0.22
h = 3.4
Thus, the stock prices will be the same in 3.4 hours.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
Identify the form the following equation is in y = 2/3x - 7
Answer:
Point slope form
[tex]y=mx+b[/tex]
solve for y -3.3+y/4=9.7
Answer: y= 5 /52 = 10 2/5 = 10.4
Step-by-step explanation:
-3.3+y/4=-9.7
We move all terms to the left:
-3.3+y/4-(-9.7)=0
We add all the numbers together, and all the variables
y/4+6.4=0
We multiply all the terms by the denominator
y+(6.4)*4=0
We add all the numbers together, and all the variables
y+25.6=0
We move all terms containing y to the left, all other terms to the right
y=-25.6
find the slope and y intercept
(0,1) and (2,-3)
whats the slope M=
whats the y intercept b=
Answer:
y = -2x + 1
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-3 - 1 / 2 - 0
-4 / 2
= -2
y = -2x + b
-3 = -2(2) + b
-3 = -4 + b
1 = b
y = -2x + 1
marciano has 85 dollars to spend at a fair he spends 30 on admission and 12 on snacks he wants to plag a game that costs 1.50 per game write an inequality using a variable to find the maximum number of times Marciano can play the game using the inequality determine the maximum number of times he can play the game
Answer: 28.666666666666667
Step-by-step explanation: 85 - 30 - 12 = 43. 43 ÷ 1.50 = 28.666666666666667