Answer:
8
Step-by-step explanation:
use pythagoras theorem
a^2+b^2=c^2
a^2+6^2=10^2
a^2=10^2-6^2
a^2=100-36
a^2=64
a=square root of 64
a=8
The value of the computer decreased exponentially throughout the five-year period.
What was the average annual of decrease (in dollars per year) over the two-year interval from t=2 to r=4?
table:
_Time___/_Value__
1 / $400.00
3 / $100.00
5 /$25.00
Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.
Explain functiοn.
Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.
Here,
[tex]= > V(t) = V(0) * e^{(-kt)[/tex]
By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:
[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]
[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]
[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]
[tex]= > 1/4 = e^{(-2k)[/tex]
[tex]= > ln(1/4) = -2k[/tex]
[tex]= > k = ln(4)/2[/tex]
[tex]= > k ≈ 0.69315[/tex]
The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):
[tex]= > V(2) = V(0) * e^{(-k2)[/tex]
[tex]= > V(4) = V(0) * e^{(-k4)[/tex]
[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]
[tex]= > V(4)/V(2) = e^{(-2k)[/tex]
[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]
[tex]= > V(4)/V(2) =0.5[/tex]
Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:
Ratiο οf decline equals value shift. (time interval)
=> V(2) - V(4) = (rate οf decline) / (4 - 2)
=> (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.
=> (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.
=> V(2) / 4 equals (rate οf decline)
=> (rate οf reductiοn) equals 400 / 4
=> rate οf decline) = $100 annually
As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.
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at a soccer match for every goal team a score team the score 3 goals the ratio of the number of goals scored by team to the number of goals scored by team b is blank
Answer:
1 : 3
Step-by-step explanation:
Given that :
For every goal TEAM A score ; TEAM B scores 3
Expressing the above as a ratio in the form:
Team A : Team B
Team A = 1 ; Team B = 3
1 : 3
Hence, the ratio is in the form 1 : 3
2.
Write an equation of a line with the given slope and y-intercept.
m = 1, b = 4
A. y = –1x + 4
B. y = 4x + 1
C. y = x + 4
D. y = x – 4
Answer:
the answer is C
Step-by-step explanation:
You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4
Luisa earns money mowing her neighbors' lawns.
The revenue for mowing x lawns is /(x) = 20x.
Luisa's cost for gas and the mower rental is c(x) = 4x + 25.
Her profit from mowing x lawns is p(x) = (r- c)(X). What is p(x)?
Answer:
p(x)= 16x-25
Step-by-step explanation:
We have been given that
3w+16>6+4w
I’ll mark brainless
Answer:
w<10
Step-by-step explanation:
I am really tired and I dont feel like showing all my work, unless you want me to then just ask
Answer:
3w+16=0>6+4w=0
3w=-16>4w=-6
w=-16/3>w=-6/4
w=-16/3>w=-3/2
The bakers at Healthy Bakery can make 210 bagels in 5 hours. How many bagels can they bake in 13 hours?
Ya'll help a girl out my grading period ends tomorrow :(
Label ABC with the following information.
BC = 38
AC = 50
Find m/C.
How many 1-foot-square border tiles would you need to surround a pool
that is 10 feet long and 5 feet wide? *
(b) A farmer uses of his land to plant
cassava, of the remaining land to plant
maize and the rest vegetables. If
vegetables cover an area of 10 arces, what
is the total area of the farmer's land.
Answer:
Cassava = ⅓ or 33.333%
Maize = ⅔x⅔ = 44.444%
total so far =77.777%
Remaining vegetable area =(100–77.777%) = 22.222%
If remaining area vegetables = 22.222% = 10 acres
Maize = ⅔x⅔ = 44.444% or 20 acres
Cassava = ⅓ or 33.333% or 15 acres
Total land area = 45 acres.
Step-by-step explanation:
write 4 ratios that to EQUIVALENT RATIOS of 6:1.
Answer:
12:2
18:3
24:4
30:5
36:6
Step-by-step explanation:
Which of the following is a pair of like terms? *
O 3x and y
2a and -4b
-9y and 7y
8 and 10y
Answer:
-9y and 7y are a pair of like terms.
Step-by-step explanation:
Like terms are the terms which have same variable and power. The coefficient is not necessary to be same.
Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J
Answer:
Step-by-step explanation:
Abcd
36.2 cm
11 cm
8 cm
6 cm
What is the volume of the figure?
Please help!
Answer: its 88 :]
Step-by-step explanation:
Describe the transformation of f(x) = sin x to g(x) = sin x - 17 ?
Answer:
f(x) underwent a downward vertical translation to get g(x)
Step-by-step explanation:
here, we want to describe a transformation
Looking at the two equations, we can notice that the difference between the two is the -17
Practically, we have this difference as 17 subtracted from the second equation
what this mean is that there is a downward vertical translation of the first graph by 17 units to get the second graph
( –2x – 14x2) – ( 10x – 2) + 2(10x3 – 3)
Answer:130
Step-by-step explanation:\
Need help!! don't know what I'm doing
Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...
Find the nth term rule for the number of
matchsticks in pattern n
Answer:
Tn = 1 + 2n
Step-by-step explanation:
Given the arithmetic sequence
3 , 5 , 7 ...
The nth term of an AP is expressed as;
Tn = a + (n-1)d
a is the first term = 3
d is the common difference = 5-3 = 7-5 = 2
n is the number of terms
Substitute
Tn = 3 + (n-1)(2)
Tn = 3 + 2n-2
Tn = 1 + 2n
Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n
Match the opposites 0 -0.875 5 10.4 8,003 -28 -5 28 -10.4 0.875 -8,003 0 -5 28 -10.4 0.875 -8,003 0
Answer:
The opposite of a positive number is a negitive number and vice versa!
Step-by-step explanation:
-5 , 5
28 , -28
-10.4 , 10.4
.875 , -.875
-8003 , 8003
0 , 0
3 to the power of 15 is how many times larger than 3 to the power of 12
Answer:
27
Step-by-step explanation:
[tex] \dfrac{3^{15}}{3^{12}} = 3^{15-12} = 3^3 = 27 [/tex]
Answer: It is 27 times larger.
Answer:
3 to the 15 power is 14,348,907. 3 to the 12 power is 531,441 and 531,441 x 27 is 14348907 the same as 3 to the 15 power.
Step-by-step explanation: soooooo just control C control V the answer.
Two functions are shown below
f(x)=8x+10
g(x)=6x-4
What is f(4)-g(3)?
Answer:
c.28
Step-by-step explanation:
Given
f(x) = 8x + 10 and g(x) = 6x - 4
f(4) = 8*4 + 10
= 32 + 10
= 42
g(3) = 6 * 3 - 4
= 18 - 4
= 14
Now
f(4) - g(3)
= 42 - 14
=28
hope it will help :)
can someone help me with this, please
Answer:
Please find attached pdf
Step-by-step explanation:
Ryan spends 10 minutes drawing. Then he spends 41 minutes on homework. IT takes him 12 minutes to clean up before he eats dinner at 5:30 p.m. At what time does Ryan starts drawing.
Answer:
4:27
Step-by-step explanation:
12 + 41 + 10 = 63 minutes or 1 hour and 3 minutes, subtract that from 5:30 and get 4:27
how to round 8.798 to the nearest cent
Answer:
8.80
Step-by-step explanation:
Answer:
8.80
Step-by-step explanation:
The hundredths place is occupied by the 9.
First, drop the last 8.
8.79
Since the digit to the right of the dropped 9 is an 8, you round up.
8.79 becomes 8.80
Answer: 8.80
Find the pair of numbers that will multiply to give you the bottom number and add to the top number
Answer:
4 and 3
4 and 5
4 and 6
3 and -8
-4 and -21
4 and 36
4 and -7
Step-by-step explanation:
1)
4 + 3 = 7
4 × 3 = 12
2)
4 + 5 = 9
4 × 5 = 20
3)
4 + 6 =10
4 × 6 = 24
4)
3 - 8 = -5
3 × (-8) = -24
5)
-4 - 21 = -25
-4 × (-21) = 84
6)
4 + 36 = 40
4 × 36 = 144
7)
4 - 7 = -3
4 × (-7) = -28
I don’t know how to do these I need help
k = 15 is the answer!!!!!!
Two squares were used to form a figure. The side lengths of each square is shown.
What is the area of the part of the figure that is NOT shaded?
Answer:
48
Step-by-step explanation:
8*8 = 64 (big square)
4*4 = 16 (shaded square)
64 - 16 = 48
Below is the table of values of a function. Write the output when the input is n.
Answer:
when input = n, Output = 4n
Step-by-step explanation:
Output = k(input)
Where,
k = constant
Find k When output = 8 and input = 2
Output = k(input)
8 = k(2)
8 = 2k
k = 8/2
k = 4
Find k When output = 28 and input = 7
Output = k(input)
28 = k(7)
28 = 7k
k =28/7
k = 4
Find output when input = n
Output = k(input)
= 4(n)
= 4n
Output = 4n
when input = n, Output = 4n
A pair of sneakers costs $60. Dahlia bought them on sale
for $45. What is the percent decrease in the price of the
sneakers?
Answer:
The answer is 25%
Step-by-step explanation:
is there anyone who can find the x and y intercepts of y = log 4 (x + 16) - 1?
The height of a football y in feet is given
by the function y=-16x² + 56x+ 2
where x is the time in seconds after the
ball was kicked. This function is
graphed below. How long was the
football in the air?
(Show work please if possible.)