Emmanuel added 8 links per minute to his chain mail. Allesia started 20 minutes after Emmanuel and added 13 links per minute to her chain mail. How long had Emmanuel worked when Allesia caught up to him, and how many links had he added?
Answer: 52 minutes, 416 links
Step-by-step explanation:
8*20=160
13-8=5
160/5=32
32+20=52
52*8=416
An element with mass 570 grams decays by 26.9% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram?
Answer:
7.1
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }570
a=starting value = 570
r=\text{rate = }26.9\% = 0.269
r=rate = 26.9%=0.269
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.269=0.731
b=1−r=1−0.269=0.731
\text{Write Exponential Function:}
Write Exponential Function:
y=570(0.731)^x
y=570(0.731)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=570(0.731)^{14}
y=570(0.731)
14
y= 7.091174
y=7.091174
Evaluate
y\approx 7.1
y≈7.1
round
To calculate the remaining amount of an element undergoing exponential decay, use the formula A = A0 * (1 - r)^t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute, and t is the time in minutes. In this case, approximately 12.3 grams of the element is remaining after 14 minutes.
Explanation:
To calculate the amount of the element remaining after 14 minutes, we need to use the formula for exponential decay, which is A = A0 * (1 - r)t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute (in decimal form), and t is the time in minutes.
In this case, the initial amount is 570 grams, the decay rate is 26.9% or 0.269 per minute, and the time is 14 minutes.
Plugging these values into the formula, we get:
A = 570 * (1 - 0.269)14 = 570 * (0.731)14 = 570 * 0.0221 = 12.27 grams.
Therefore, approximately 12.3 grams of the element is remaining after 14 minutes.
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which equation describes the porportion: the number of chickens (c) is four times as many the number of horses (h) on the farm
Answer:
c4:h1
Step-by-step explanation:
Answer:
c=4h
Step-by-step explanation:
please help on #15 thank you !!
Answer: A. $3
Step-by-step explanation:
Price: $ 60.00
Sales Tax (5%): $ 3.00
Total: $ 63.00
OR, an easier way to do it is:
60 × 0.05 = 3
* Hopefully this helps:)!!!Mark me the brainliest:)!!
∞ 234483279c20∞
Answer:
The Answer is $3
Step-by-step explanation:
5% of 60= $3
1) Step I
5%=0.05
2) there asking for the amount of the tax So its 5%of 60
Which is solve like This
0.05 x 60 = 3
Hopes this helps you!
the expression below is a factorization of which of the following trinomials (3x-4)(x-1)
3x^2 - 7x + 4
Hope this is the answer you're searching for
Solve the system of equations and choose the correct answer from the list of options
2x+y=-4
y=3x+2
(-6/5,-8/5)
(-8/5,-6/5)
(-6/5,-11/5)
(-11/5,-6/5)
Answer:
uh
Step-by-step explanation:
uh
Answer:
The distance between all the points is 62 when u add the distances of them together.
Step-by-step explanation:
convert 18/5 to a decimal using long division
Answer:
3.60
Step-by-step explanation
you need to turn it to 100 then move the decimal 2 places to the left
Answer:
A. 3.6
Step-by-step explanation:
Match the rational expression
Answer:
Step-by-step explanation:
[tex]1) (x-2)+\frac{6}{x-2} \\=\frac{(x-2)(x-2)+6}{x-2}\\ =\frac{x^{2}-4x+4+6}{x- 2}\\=\frac{x^{2}-4x+10}{x-2}[/tex]
[tex]2)(x+3)+\frac{10}{x-2} \\=\frac{(x+3)(x-2)+10}{x-2}\\ =\frac{x^{2}+3x-2x-6+10}{x-2}\\=\frac{x^{2}+x+4}{x-2}[/tex]
[tex]3)(x+1)+\frac{6}{x-2} \\=\frac{(x+1)(x-2)+6}{x-2}\\ =\frac{x^{2}-2x+x-2+6 }{x-2}\\=\frac{x^{2}-x+4}{x-2}[/tex]
[tex]4)(x-3)+\frac{10}{x-2} \\=\frac{(x-3)(x-2)+10}{x-2}\\ =\frac{x^{2}-3x-2x+6+10 }{x-2}\\=\frac{x^{2}-5x+14}{x-2}[/tex]
What is the inverse of the following statement? If it is night, the street lights will come on. Select the best answer from the choices provided. A. If the street lights come on, then it is night. B. The street lights will come on if it is night. C. If it is not night, then the street lights will not come on. D. If the street lights do not come on, then it is not night.
ANSWER
C. If it is not night, then the street lights will not come on.
EXPLANATION
The given statement is
"If it is night, then the street lights will come on"
Given the statement,
"If p, then q",
then the inverse of this statement is
"If it is not night,then the street lights will not come on"
"If not p, then not q"
The correct choice is C.
The inverse of a conditional statement is created by negating both the hypothesis and the conclusion. Thus, the inverse of the statement 'If it is night, the street lights will come on.' is 'If it is not night, then the street lights will not come on.'
Explanation:The question is asking for the inverse of a given statement. In logic, the inverse of a conditional statement is created by negating both the hypothesis and the conclusion. The original statement: 'If it is night, the street lights will come on.' becomes 'If it is not night, then the street lights will not come on.' in its inverse form. So, the correct answer is C. If it is not night, then the street lights will not come on.
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How old am i if 500 reduced by 3 times my age is 266
Hey there!
Let's start by making an equation to represent this.
500 - 3a = 266
Reduced by is the same as subtracting, and a represents age.
Subtract 500 from both sides.
-3a = -234
Divide each side by -3.
a = 78
Check.
500 - 3(78) = 266
500 - 234 = 266
266 = 266
You are 78 years old.
Hope this helps!
Answer: Age=78
Step-by-step explanation:
500-(3xAge)=266
500-266=3xAge
(500-266)/3 = Age
A parallelogram-shaped tile has an area if 48 in.2. The base of the tile measures 12in. What is the measure of bits height
Answer:
height = 4 in
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = base × height ← substitute values
48 = 12 × height ( divide both sides by 12 )
4 = height
What is the product of 7x-4 and 8x+5
➷ (7x - 4)(8x + 5) ==> 56x^2 + 35x - 32x - 20
This can be simplified to 56x^2 + 3x - 20
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
The product of the polynomials 7x - 4 and 8x + 5 is 56x^2 + 3x - 20, attained by applying the FOIL method.
Explanation:The given question asks to find the
product
of two polynomials: 7x - 4 and 8x + 5. The product of two polynomials can be found using the distributive property, also known as the FOIL (First, Outer, Inner, Last) method. So, start by multiplying the first terms of each polynomial: 7x * 8x = 56x^2. Then, multiply the outer terms: 7x * 5 = 35x. Next, the inner terms: -4 * 8x = -32x. And finally, the last term: -4 * 5 = -20. Summing all these gives the final answer: 56x^2 + 3x - 20.
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What is the surface area of the regular pyramid?
You would have to do 18x2 then 14x2.
Answer:
Step-by-step explanation:
Surface area = [tex]lw+l\sqrt{(\frac{w}{2})^2+h^2}+w\sqrt{(\frac{l}{2})^2+h^2}[/tex]
just put the values in the formula h=18,w=14,l=14
What is the solution to the following system of equations?
Answer:
(3,2)
Step-by-step explanation:
Make sure you use substitution to solve the equation for either x or y first. Then once you have the value of one, plug it into the equation to solve for the value of the other.
The answer is the third one.
How do you solve -3x-4>5
Answer:
x<−3
Step-by-step explanation:
−3x−4>5
Step 1: Add 4 to both sides.
−3x−4+4>5+4
−3x>9
Step 2: Divide both sides by -3.
−3x
−3
>
9
−3
x<−3
Answer:
x < -3
Step-by-step explanation:
We must isolate x.
Start by adding 4 to both sides, obtaining -3x > 9.
Next, divide both sides by -3, remembering to reverse the direction of the > symbol:
-3x 9
------ > ----- ↔ x < 9/(-3), or x < -3
-3 -3
what is the correct first step to solve this system of equations. 4x-3y=-10, 2x+3y=4
a) add the 2 equations together
b) subtract the 2 equations
c) multiply the second equation by 3
D) divide the first equation by 4
Answer:
best bet is c
The correct first step is : " add the 2 equations together "
What is Equation?
An equation is a mathematical statement with an '=' symbol between two expressions that have equal values.
Here, given equations are
4x - 3y = -10
2x + 3y = 4
In given equation the coefficient of y is equal with opposite sign, so for simplification of these equation we need to add these equation.
Thus, the correct first step is : " add the 2 equations together "
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What is the value of x in the equation −x = 2 − 3x + 6?
Answer:
x = 4Step-by-step explanation:
[tex]-x=2-3x+6\qquad\text{add}\ 3x\ \text{to both sides}\\\\-x+3x=8-3x+3x\\\\2x=8\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{8}{2}\\\\x=4[/tex]
Who reads at the same rate?
Answer:
Alexis and Jon reads at the same rate, 0.67 page by min
Step-by-step explanation:
Rate Alexis = 30/45 pages/min = 0.67 page by min
Rate Jon = 40/60 pages/min = 0.67 page by min
Rate Sal = 45/90 = 0.5 page by min
Rate Andre = 15/25 = 0.6 page by min
Then
Alexis and Jon reads at the same rate, 0.67 page by min
Best regards
On a coordinate plane, what is the distance between the points (-4, -3) and (-1, 5)? Round your answer to the nearest hundredth.
Answer:
8.54
Step-by-step explanation:
To find the distance between 2 points
d = sqrt( y2-y1)^2 + (x2-x1)^2)
where (x1,y1) and (x2,y2) are the two points
d = sqrt((5--3)^2+ (-1--4)^2)
= sqrt((5+3)^2+ (-1+4)^2)
= sqrt((8)^2+ (3)^2)
= sqrt(64+ 9)
=sqrt (73)
=8.544003745
Rounding to the nearest hundredth
=8.54
ANSWER
The distance between the two points is 8.54 to the nearest hundredth.
EXPLANATION
We want to find the distance between the the points (-4, -3) and (-1, 5).
We use the distance formula;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{( - 1 - -4)^2+(5- - 3)^2}[/tex]
[tex]d=\sqrt{( 3)^2+(8)^2}[/tex]
[tex]d=\sqrt{9+64}[/tex]
[tex]d = \sqrt{73} [/tex]
[tex]d = 8.544[/tex]
To the nearest hundredth the distance is 8.54 units.
What is the distance between two points located at (–6, 2) and (–6, 8) on a coordinate plane?"
Answer:
4 units
Step-by-step explanation:
X coordinate never changed so you just need to subtract 2 from 8 to see the unit difference.
The distance between the two points (-6, 2) and (-6, 8) on a coordinate plane is 6 units, as they share the same x-coordinate, and the distance can be found by the absolute value of the difference in y-coordinates.
The distance between two points on a coordinate plane can be determined by finding the absolute difference between their x-coordinates if they share the same x-coordinates or their y-coordinates if they share the same y-coordinates. Since the points (-6, 2) and (-6, 8) share the same x-coordinate, we can subtract the y-coordinates to find the distance:
Distance = |y2 - y1|
= |8 - 2|
= |6|
= 6 units
Therefore, the distance between the two points located at (-6, 2) and (-6, 8) on a coordinate plane is 6 units.
Type the correct answer in each box. If necessary, use / for the fraction bar(s). Given: AB || CD . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is _____ . If the coordinates of point D are (5 , 5), the equation of line CD is y = ___ x + ___ .
Answer:
Im not sure about the other 2 but the last box is 12, the answer above is incorrect for PLATO. I just took the test.
The y-intercept of line AB is 0, and the equation of line CD is y = 5.
Explanation:The y-intercept of a line is the point where it intersects the y-axis. In this case, we are given the coordinates of point A as (8, 0). Since the y-coordinate of point A is 0, the y-intercept of line AB is 0.
The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. The slope of line CD can be found by finding the difference in y-coordinates divided by the difference in x-coordinates between points C and D. In this case, the slope is (5 - 5) / (5 - 5) = 0. Therefore, the equation of line CD is y = 0x + b, where b is the y-intercept. Since point D has coordinates (5, 5), the y-intercept is 5. Therefore, the equation of line CD is y = 0x + 5, or simply y = 5.
You plan to invest $350 $350 in a growth fund that has a rate of 1.5% 1.5% compounded quarterly. How much money will this investment be worth after 50 50 years? Round to the nearest cent.
Is this a scatterproblem?
If so then 350×((1.5)^4)^50 would be an answer?
Answer:
the answer is 739.91
Step-by-step explanation:
i put this problem for my question and got it right on the test.
good luck!
find the mode for a data set. 18,24,24,24,25,37,37,46
Answer:
24 is the mode
Step-by-step explanation:
Mode is the number that is most often seen.
18 is seen 1 time
24 is seen 3 times
25 is seen 1 time
37 is seen 2 times
46 is seen 1 time
24 is the mode because it is seen the most often.
Answer:
24
Step-by-step explanation:
The mode is the number that appears the most times in a data set. Here, 24 occurs the most (3 times)
PLEASE HELP WILL GIVE POINTS AND MARK BRAINLIEST PLEASE!!!!!!!!!!!!!
Answer:
The point must be between 5 and 6, accurately in 5,4
Step-by-step explanation:
SQT[29] = 5,38
Best regards
well the square root of 29 as a decimal is 5.4 to the tenths place so the point would probably be 4 marks to the right of the big 5's mark
Which two wholes numbers does 3 2/10 lie between?
Answer:
3 and 4
Step-by-step explanation:
On a number line, 3 2/10 is greater than 3, by 1/5, but less than 4, by 4/5.
3 and 4 are two whole numbers that come after each other.
Answer:
3 and 4
Step-by-step explanation:
3 2/10 is in-between the numbers 3 and 4
Gasoline is used as fuel that allows cars to move. In order for the gasoline to have any effect on a car, the gasoline has to go through a chemical reaction that causes energy stored in it to be converted into a different type of energy.
Arrange the tiles below to correctly show the sequence in which energy is converted to allow a gasoline-powered car to move.
Answer:
chemical heat and mechanical in that order
Step-by-step explanation:
Answer: Chemical - Heat - Mechanical.
Step-by-step explanation:
An internal combustion engine, such as a gasoline engine, converts the chemical energy in fuel to the propulsive energy that moves a car. When gasoline combusts, heat energy is produced and converted to mechanical energy that allows a car to move.
While light energy is also produced along with heat energy during the conversion of chemical energy to mechanical energy, the light energy does not have any effect on the movement of the car.
If f(x) = x+4 and g(x) =x^3, what is (g•f)(-3)
ANSWER
[tex](g\circ f)( - 3) = 1[/tex]
EXPLANATION
The given functions are
[tex]f(x) = x + 4[/tex]
and
[tex]g(x) = {x}^{3} [/tex]
The composite function,
[tex](g\circ f)(x) = g(f(x))[/tex]
[tex](g\circ f)(x) = g(x + 4)[/tex]
[tex](g\circ f)(x) = ( {x + 4)}^{3} [/tex]
We now substitute x=-3 to obtain:
[tex](g\circ f)( - 3) = ( { - 3 + 4)}^{3} [/tex]
[tex](g\circ f)( - 3) = ( {1)}^{3} = 1[/tex]
Answer:
The answer is 1
Ben says 7 9/100 must be less than 7. 2/10 because 9 hundredths is less than 2 tenths. Do you agree? Draw a line to support your answer
Yes, I cannot draw a line because this is online. Sorry
A child’s toy harp is in the shape of a trapezoid as shown.
In square inches, what is the area of the harp?
Hello! your answer is going to be 64 square inches.
The equation to get this is as listed:
[tex]Area = \frac{Base1+Base 2}{2} * Height[/tex]
I hope this helps, and have a nice day!
Answer:
a = 64 ft²
Step-by-step explanation:
a = a + b (h)
2
a = 4 + 12/2 (8)
a = 16/2 (8)
a = 8 (8)
a = 64 ft²
Please help we with all
Step-by-step explanation:
[tex]1)\ \dfrac{10}{100}=0.10=0.1\\\\2)\ \dfrac{5}{10}=0.5\\\\3)\ \dfrac{6}{10}=0.6\\\\4)\ \dfrac{93}{100}=0.93\\\\5)\ \dfrac{1}{10}=0.1\\\\6)\ \dfrac{40}{100}=0.40=0.4\\\\7)\ \dfrac{56}{100}=0.56\\\\8)\ \dfrac{7}{10}=0.7\\\\9)\ \dfrac{3}{10}=0.3\\\\10)\ \dfrac{98}{100}=0.98\\\\11)\ \dfrac{4}{10}=0.4\\\\12)\ \dfrac{78}{100}=0.78[/tex]