Answer:
5(1+x)
Step-by-step explanation:
Mario start collecting stamps in January and buys 12 stamps each month.Karen starts collecting stamps in July and buys 18 starts each month. how many months after Karen starts collecting stamps will she have the same number of stamps as Mario?
Answer:
12 months
Step-by-step explanation:
Given that:
Mario:
12 stamps per month
Since January
Karen :
18 stamps per month
Starts on july
Number of stamps collected by Mario till the end of June :
12 * 6 = 72 stamps
For Mario :
72 + 12x
For karen:
18x
Where x is the number of months after karen starts :
Equate both equations
72 + 12x = 18x
72 = 18x - 12x
72 = 6x
x = 72/6
x = 12
After 12 months
Number of months after karen starts, will they have same amount of stamp
Heather performs an experiment to measure the acceleration of an object due to earths gravitational and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second.
The percentage error in the acceleration is 11.3%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The actual acceleration of the object is 9.80 meters per second.
The acceleration of an object is 10.91 meters per second.
Now,
Percentage error.
= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100
= (10.91 - 9.80) / 9.80 x 100
= 1.11 / 9.80 x 100
= 11.33 %
Thus,
The percentage error is 11.3%.
Learn more about percentages here:
https://brainly.com/question/11403063
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what is the product of 2 4/7 × 13/12
Answer:
2 11/14
Step-by-step explanation:
First make both of them improper fractions.
therefore,
2 4/7 = 18/7
now simplify.
18/7 × 13/12
18 and 12 get cancelled off as they're multiples of 3 and 6
therefore,
3/7 × 13/2
3× 13 = 39
7×2 = 14
39/14
now make it a proper fraction
2 11/14//
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro
Answer:
Absolute error = $25
Step-by-step explanation:
Given that:
Amount spent by John on shopping trip = $75
Estimated amount to spent on shopping trip = $100
Absolute error = Approximate value - Exact value
Here,
Approximate value = $100
Exact value = $75
Absolute error = 100 - 75
Absolute error = $25
Percentage = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]
Percentage = [tex]\frac{25}{75}*100[/tex]
Percentage = 33.33%
Hence,
Absolute error = $25
Solve for u. m/u^2+r=−k−y
9514 1404 393
Answer:
u = ±√(-m/(k+r+y))
Step-by-step explanation:
Subtract r, rearrange, then take the square root.
[tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]
Answer: +/- sqrt(m/-k-y-r)
Step-by-step explanation:
Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?
Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]
Then we can take its derivative with respect to w
[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]
Now we can set the derivative to zero, and solve for w:
[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
What is a function?
A)Every x-value has more than one y-value.
B) Every x-value has exactly one y-value.
Answer:
A
Step-by-step explanation:
A laptop has a price $300. The store is giving a 15% discount for the laptop. How much will the laptop cost?
If GEOM is a square, find m2GQE.
Answer:
90 is correct answer of it question
2.3 - 7x + 5.1 - 3x
Please help I have 5 minutes
Answer:
2.3+5.1-7x-3x
7.4-10x
what is the greatest common factor of 54 76 and 114
Answer:
2
Step-by-step explanation:
Prime factors of 56 = 2^3 . 7
Prime factors of 76 = 2^2 . 19
Prime factors of 114 = 2 . 3 . 19
Prime factors of 124 = 2^2 . 31
Multiply and completely simplify: (4x+6) (x-1) PLEASE HELP NOW
Answer:
-2.333333333
Step-by-step explanation:
WILL MARK BRAINLIEST!!select the graph of x-2y<4
Answer:
Option (2) is correct.
Step-by-step explanation:
The given equation is x-2y<4.
We need to select the correct graph for this inequality.
When x = 0, y = <-2
When y=0, x<4
The attached figure shows the graph for this inequality. It means the correct option is (b).
using pythagoras theorem if a = 3, b = 4 what is c?
3
4
5
6
3.6
Answer:
5
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]
What is the measure of angle P?
Answer:
60
Step-by-step explanation:
step 1: 180°-130°= 50
step 2: 180-110= 70
step 3: 70+50= 120
step 4: 180°-120°= 60
What hazard is present in this image?
Select the best option.
A mat that has upturned edges
Hair clippings on the floor
Tool cord left out
Spills on floor
Answer:
spills on the floor
Step-by-step explanation:
there is liquid of some sort someone could slip and hurt themselves. hope this helps
The first term of the sequence is -9 and the common ratio is -2
Answer:
[tex]2nd \: term = - 9 + ( - 2) \\ = - 11 \\ 3rd \: term = - 11 +( - 2) \\ = - 13 \\ 4th \: term = - 13 + ( - 2) \\ = - 15 \\ \\ ..........[/tex]
please help me or dont
Answer:
pentegan easy
Step-by-step explanation:
Which of the following expressions will result in a product less than zero?
А
6.4 x (-3.5)
B
-7.1 x (2.5)
С
-2.3 (-1.9)
D
9.2 x (4.0)
Answer:
All of the except for D and C
Step-by-step explanation:
A negative times a positive is always negative
Answer:
A,B
Step-by-step explanation:
Addison measured a house and its lot and made a scale drawing, The scale she used was
1 inch : 3 feet. The backyard is 10 inches in the drawing, How long is the actual yard?
Answer:
I think it's
10 X 3 = 30 feet
In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than twice the number
sent. How many were sent and how many were received each day?
Answer:
Number of sent mail = 36
Number of received mail = 75
Step-by-step explanation:
Let,
x be the number of mails sent
y be the number of mails received
According to given statement;
x + y = 111 Eqn 1
y = 2x + 3 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
x + 2x + 3 = 111
3x = 111 - 3
3x = 108
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{108}{3}\\x = 36[/tex]
Putting x = 36 in Eqn 2
y = 2(36) + 3
y = 72 + 3 = 75
Hence,
Number of sent mail = 36
Number of received mail = 75
HELP ASAPPPPpppppppp
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
1 x 1 = 1
3 x 4 = 12
Number seven plz helppp
Answer:
1,296
Step-by-step explanation:
I multiplied 6 four times.
Graph y-4=2x and identify
the slope and y-intercept.
Answer:
slope is 2 and y-intercept is (0, 4)
Step-by-step explanation:
Answer:
s- 2 y int- 4
Step-by-step explanation:
1a) simplify (8x)^2
Answer:
[tex] 64 {x}^{2} [/tex]
Step-by-step explanation:
[tex] {(8x)}^{2} = {8}^{2} . {x}^{2} = 64 {x}^{2} [/tex]
Allison invest $5000 in CD at an interest rate of 2%. What will her total be worth at the end of 3 years?
Answer:How much interest will I earn in a CD? It depends on the interest rate the bank offers and how long the CD's term is. Here's an example: $5,000 invested in a 3-year CD with a 0.80% APY would earn about $120 by the end of the term.
Step-by-step explanation:
Need Help with this please!!
Answer:
A is 85 degrees
What is the simplified form of the expression(x + 6)(7x − 1)?
8x^2 + 5
7x^2 + 41x − 6
7x^2 + 43x − 6
7x^2 − 6
Answer:c
Step-by-step explanation:
Answer:
B: 7x2 + 41x − 6
Step-by-step explanation:
Use the FOIL method to multiply the two expressions.
(First Outer Inner Last)
Then, combine like terms.
(x + 6)(7x − 1) = (x)(7x) + (x)(-1) + (6)(7x) + (6)(-1)
= 7x2 − x + 42x − 6
= 7x2 + 41x − 6
The distance traveled by a snowball thrown straight down from the top of a bluff can be calculated with the equation d=ut+12gt2, where d is the distance traveled in meters, u is the initial velocity in meters per second, t is the time in seconds, and g is the acceleration due to gravity, which is 9.8ms2. If the snowball traveled 200 meters in 5 seconds, what was its initial velocity?
Answer:
15.5 m/s
Step-by-step explanation:
Using the equation, d = ut+1/2gt² where all the variables have meaning as given above, making u subject of the formula, we have
d = ut+1/2gt²
d - 1/2gt² = ut
d/t - 1/2gt²/t = u
u = d/t - 1/2gt
Since d = 200 m, t = 5 s and g = 9.8m/s², substituting the values of the variables into the equation, we have
u = d/t - 1/2gt
u = 200 m/5 s - 1/2 × 9.8m/s² × 5 s
u = 40 m/s - 49 m/s ÷ 2
u = 40 m/s - 24.5 m/s
u = 15.5 m/s
So, the initial speed of the snowball is 15.5 m/s
I need to write an equation for the triangle and solve for x
