Answer:
Step-by-step explanation:
First find prime factorization of the numbers
280=2^3(5)7
112=2^4(7)
140=2^2(5)7
So the HCF is 2^2(7)=4(7)
HCF=28
an element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
Step-by-step explanation:
Total Depreciation: 60.24%
Total depreciation: $9,759.50
Car Value after 6 years: $6,440.50
The element is remaining 146.6 grams after 7 minutes, to the nearest 10th of a gram.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
An element with mass 630 grams decays by 18.8% per minute.
That means, 18.8% = 0.188
Here, we will use the exponential decay function.
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Here,
A₀ = 630 grams
r = 0.188
x = 7 minutes
Substituting the values to the formula,
A₇ = 630(1-0.188)⁷
A₇ = 630(0.812)⁷
A₇ = 630(0.23275134787)
A₇ = 146.633
A₇ = 146.6 grams.
Therefore, element is remaining 146.6 grams.
To learn more about the exponential decay;
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What is the length of AC
plz plz help plz plz
Answer:
1
Step-by-step explanation:
when dividing numbers with exponents with the same base, subtract the exponents.
[tex]\frac{8^{7} }{8^{7} }[/tex]
7 - 7 = 0
[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]
anything to the power of 0 is 1
[tex]8^{0}[/tex]= 1
Answer:
1
Step-by-step explanation:
Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.
8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that
8^7/8^7 = 1
We can use the rule of exponents for dividing powers.
Rule:
[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
Here we have a = 8, m = 7, and n = 7.
Applying the rule, we get
[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]
Another rule of exponents:
[tex] a^0 = 1 [/tex]
We the zero power rule now:
[tex] 8^0 = 1 [/tex]
Therefore,
[tex] \dfrac{8^7}{a^7} = 1 [/tex]
Answer: 1
A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
HELPPPPPPPPPPPPPPPPPPOPPPPPPP PLZZZ
Answer:
x^2 + 3x
Step-by-step explanation:
just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x
P(x) =0.02x³+0.04x²+0.3x+1.2.Evaluate P(18) by direct substitution and by applying the remainder theorm
Answer:
136.2
Step-by-step explanation:
Plugin x = 18 in the polynomial.
P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2
P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2
= 0.02 * 5832 + 0.04*324 + 5.4 + 1.2
= 116.64 + 12.96 + 5.4 + 1.2
= 136.2
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and y? a Add the equations to eliminate x. b Multiply the equations to eliminate y. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.
Answer:
C should be the right one
Answer:
Write the points where the graphs of the equations intersect the x-axis
Step-by-step explanation:
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A) $72
B) $52
C) &126
D) $108
Answer:
C. $126
Step-by-step explanation:
Let us say x is the amount of money Sky makes for babysitting 7 hours.
[tex]\frac{72}{4} =\frac{x}{7}[/tex]
[tex]\frac{72}{4} = 18[/tex]
[tex]18=\frac{x}{7}[/tex]
x=$126
Find the distance between A and B
Answer:
27
Step-by-step explanation:
You can easily find it by counting how much line are between point and and point B
there are 27 lines (including the line on point B)
Need help, due in 1 hour please!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
hope this helps lovely! <3
Plz help I will give Brainlyest plz help fast
Write the expression as a single logarithm.
4logb^y + 3logb^x
Answer:
b
Step-by-step explanation:
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
15. Marley gets on an elevator on the 30th floor of a building. She goes up 6 floors to pick up a package then goes down 14 floors for a meeting. Write and simplify an expression to show what floor Marley is now on pls help
Step-by-step explanation:
The initial level is 30.
let the upward travel be +X and downward travel be -Y.
so the expression for her current level be ,
30+X-Y = 30+6-14= 22.
22 is her current level.
In degrees, what is the measure of MFE?
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
I NEED HELP ILL GIVE BRAINLEST
Answer:
5,0
10,0
( I'm sorry if this wasn't helpful to you) ;(
1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x
Someone pls help me
Answer:
2. 8x
3. (12/2)*(10/2)
Step-by-step explanation:
Reflect across the y-axis. Fill in the new coordinates below:
Answer:
A(-1,2)
B(-4,4)
C(-3,1)
Step-by-step explanation:
simply reflect across the y-axis. pls give brainliest
Write an equation that could be used to find the value of x using the interior angles of ∆ABD, then solve the equation.
Answer:
equation: 55 + (2x + 3) + 90 = 180
55 + 2x + 3 + 90 = 180
2x + 148 = 180
2x = 32
x = 16
Answer:
55 + 50 + 2x+3 + 2x+8 = 180
x = 16
Step-by-step explanation:
55 + 50 + 2x+3 + 2x+8 = 180
113 + 4x = 180
4x = 64
x = 16
What is the equation of the coordinate A and B if they are (4,7), (6,3) respectively. What is the equation of the straight line.
Answer: y+2x=15
Step-by-step explanation:
Given
Two points A and B are (4,7) and (6,3) respectively
Using two-point form
[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Putting values
[tex]\Rightarrow \dfrac{y-7}{x-4}=\dfrac{3-7}{6-4}\\\\\Rightarrow \dfrac{y-7}{x-4}=\dfrac{-4}{2}=-2\\\\\Rightarrow y-7=-2x+8\\\\\Rightarrow y+2x=15[/tex]
Circle the volume, in cm^3, of a cylinder with radius 5 cm and height 8 cm
[1 mark]
A)40π
B)80π
C)200π
D)1600π
Answer:
C
Step-by-step explanation:
Volume of a cylinder is πr²h
V = π * 5² * 8
V = π * 25 * 8
V = π * 200
V = 200π
Please help meeeeee thanksss
Answer:
Step-by-step explanation:
it's 3 hmmm it tells you rise over run.. just about where they are asking for the answer.. what do you not get about the question?
Find c.
Round to the nearest tenth.
Answer: Picture is blury for me I can not see it well enough
Step-by-step explanation:
All i see is the 8 ft and 17ft cant see any of the other numbers
A 10 METER PIECE OF WIRE IS CUT IN TO TWO PIECES ONE PIECE IS 2 METERS LONGER THAN THE OTHER HOW LONG ARE THE PIECES
one piece is 2m
one is 8m
Find the value of x.
Answer:
6
Step-by-step explanation:
Because they are the same
24 boys started a cycle racc and 18 of them
ended the race. What percentage of boys
ended the race?
ation owned
HURRYYY A company is introducing a new product. The equation y = –0.001(x – 600)2 + 90 predicts the expected profit, in thousands of dollars, where x represents the number of thousands of units of the product sold by the company. How many units must be sold to yield a maximum profit? 90 600 90,000 600,000
Answer:
d
Step-by-step explanation:
^u^
The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.
How to find maxima?To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.
After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.
If the double derivative got negative then it will be maxima.
Given that function
f(x) = -0.001(x-600)² + 90
By differentiation
[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90
Now equate with zero
-0.002(x - 600) + 90 = 0
x - 600 = 0
x = 600
Now checking the x at double derivative
[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.
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A. f(x) =1/2 (4,000)^x
B. f(x) = 4,000(2)^x
C. f(x) = 2,000 (1/2)^x
D. f(x) = 4,000 (1/2)^x
Please do a step by step so that i can show work.
Answer:
See this attachment...
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.