Hi Student!
Looking at the question we can see that we are given a number which is 120 days. The question is asking for us to convert the amount of days it took to break the code into hours. We can do this by multiplying the amount of days that we have by 24 because there are 24 hours in a day. The days would cancel and that would result us with just hours left.
[tex]120\ days*\frac{24\ hours}{1\ day}[/tex]
[tex]\frac{120\ days\ *\ 24\ hours}{1\ day}[/tex]
[tex]\frac{2880\ hours}{1}[/tex]
[tex]2880\ hours[/tex]
Therefore, our final answer is that it took the computer 2880 hours to break the code after we converted the days to hours.
Liz had 10 candies. She ate 4 of them. How many candies are left?
Answer: 6
Step-by-step explanation: 10-4=6
Round 381,726 to the nearest thousand
Leave answer in the simplest radical form.
[tex]\frac{7x^-^3^/^2y^5^/^2z^-^2^/^3}{56x^-^1^/^2y^1^/^4}[/tex]
[tex]\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}[/tex]
[tex]\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}[/tex]
The graph of y=f(x) is shown on the grid.
Use the graph to workout and estimate for f(2.5)
Check the picture below.
What percentage of canadians live within 100 miles of the u. S. Border?.
Answer:
90%
Step-by-step explanation:
write the ratio for the trig function indicated
Answer:
sin Θ = 11/19
Step-by-step explanation:
19 is the hypotenuse.
The legs are 11 and 4√15.
sin Θ = opp/hyp
For angle Θ, 11 is the opposite leg.
sin Θ = 11/19
Answer:
11/19 the other guys is correct
Step-by-step explanation:
radical 54 simplified
help meeeeee 1/2 X (6 X 4)+3 + 2
6x4=24
24x1/2=12
12+3=15
15+2=17
17 is the answer
Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. is alana correct? use terms from the word lis in your answer.
Step-by-step explanation:
Alana is correct.
example : a kite
2 pairs of equally long sides, but none is parallel.
1. Find the radian measure for 150 degrees.
2. Find the degree measure for π/2.
Please explain how you used the unit circle to solve these questions.
Answer:
Step-by-step explanation:
1. 150 * π/180
= 150π/180
= 5π/6
=2.62
2. π/2
π/2 * 180/π
= 90 degrees
Step-by-step explanation:
1)150° 's radian measure
[tex] \rm \implies150 \: Deg × π/180 = 2.618 \: Radians[/tex]
2)π/2 's degree measure
[tex] \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees[/tex]
Basically,we need to use formulas to solve these type of sums.
the cost of the items in mindy's shopping cart is 67.39 if the sales tax applied to her purchase is 5% what is the total cost of the items in her cart?
Answer:
$70.76 or 70.7595
Step-by-step explanation:
Here’s the function:
67.39(1+0.05)^1
Hope this helps! ;-)
The peanuts cost $2.70 for 1 pound. How
much does 3.5 pounds of peanuts cost?
Answer: $9.45
Step-by-step explanation:
Set up a proportion of 2.70/1 = x/3.5. To solve, multiply 2.70 by 3.5 and divide by 1. 2.70*3.5 = 9.45/1 = 9.45.
pls, help I will make you the branliest!
Answer:
See below
Step-by-step explanation:
Use protractor to measure the UNmarked angle (approx 135 degrees)
then subtract this value from 360 degrees to find the angle in question
What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
[tex]a^{2}+b^{2}=c^{2}[/tex]
[tex]4^{2} +7^{2} =c^{2}[/tex]
[tex]16+49=c^{2}[/tex]
[tex]65=c^{2}\\\sqrt{65}=c[/tex]
Answer:
65
Step-by-step explanation:
In the sequence $$1,2,2,4,8,32,256, each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is $256$, which is the product of the fifth term ($8$) and the sixth term ($32$). This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the $14 term is close to some estimates of the number of particles in the observable universe.) What is the last digit of the $35 term of the sequence
The sequence is recursively defined by
[tex]\begin{cases}a_1 = 1 \\ a_2 = 2 \\ a_n = a_{n-1} a_{n-2} & \text{for } n \ge 3\end{cases}[/tex]
By this definition,
[tex]a_{n-1} = a_{n-2} a_{n-3} \implies a_n = a_{n-2}^2 a_{n-3}[/tex]
[tex]a_{n-2} = a_{n-3} a_{n-4} \implies a_n = (a_{n-3} a_{n-4})^2 a_{n-3} = a_{n-3}^3 a_{n-4}^2[/tex]
[tex]a_{n-3} = a_{n-4} a_{n-5} \implies a_n = (a_{n-4} a_{n-5})^3 a_{n-4}^2 = a_{n-4}^5 a_{n-5}^3[/tex]
[tex]a_{n-4} = a_{n-5} a_{n-6} \implies a_n = (a_{n-5} a_{n-6})^5 a_{n-5}^3 = a_{n-5}^8 a_{n-6}^5[/tex]
and so on.
Recall the Fibonacci sequence, {1, 1, 2, 3, 5, 8, 13, 21, …}, where the next term in the sequence is the sum of the previous two terms. If [tex]F_n[/tex] is the n-th Fibonacci number, then continuing the pattern above we would arrive at
[tex]a_n = {a_2}^{F_{n-1}} {a_1}^{F_{n-2}} = 2^{F_{n-1}}[/tex]
Notice that the sequence of positive powers of 2 leaves a periodic sequence of residues mod 10 :
[tex]2 \equiv 2 \pmod{10}[/tex]
[tex]2^2 \equiv 4 \equiv 4 \pmod{10}[/tex]
[tex]2^3 \equiv 8 \equiv 8 \pmod{10}[/tex]
[tex]2^4 \equiv 16 \equiv 6 \pmod{10}[/tex]
[tex]2^5 \equiv 2 \times 2^4 \equiv 2 \times 6 \equiv 2 \pmod{10}[/tex]
[tex]2^6 \equiv 2^2 \times 2^4 \equiv 4 \times 6 \equiv 4 \pmod{10}[/tex]
and so on; the period of this sequence of residues is 4.
The period of [tex]F_n[/tex] taken mod 4 is 6 :
[tex]\{1, 1, 2, 3, 5, 8, \ldots\} \equiv \{1, 1, 2, 3, 1, 0, \ldots\} \pmod 4[/tex]
(This follows from the "properties" section in the link in comment. In this case, π(4) = 3/2 × 4 = 6.)
It follows that
[tex]34 \equiv 4 \pmod 6 \implies F_{34} \equiv 3 \pmod 4 \implies 2^{F_{34}} \equiv 2^3 \equiv 8 \pmod{10}[/tex]
which means the last digit of [tex]a_{35}[/tex] is 8.
Find the surface area of the composite figure.
Answer:
402.9092
Step-by-step explanation:
surface area of cylinder - top base = 301.5946
surface area of cone - base = 101.3146
add together 402.9092
Aaron set the bottom of a ladder on the ground 10 feet from the house and it reached just to the bottom of the window he was about to clean. The bottom of the window is 38 feet off the ground. What is the angle between the ladder and the ground?
Answer:
36
Step-by-step explanation:
A^2+B^2=C^2
10^2+B^2=38^2
We are solving for B squared
So 100+B^2=1444
-100
1344 and now take the square root of that number and you have your answer of 36
I hope this helps and have a good night!
Which of the following statements are true about the graph? Check all that apply.
The graph has a minimum.
The graph has a maximum.
The graph has zeros of -4 and 2.
The vertex is located at (-1,-9).
Answer:
the graph has a minimum
Step-by-step explanation:
the minimum is -9
Answer:
the graph has a minimum & the vertex is located at (-1,-9)
Step-by-step explanation:
Minimum is where its like at the bottom opening down. And the vertex is the x value of the minimum point. Maximum is the opposite where the curve is facing upwards and is the highest point where the vertex is the x value of the maximum or highest point.
Find the center and radius of the circle represented by the equation below.
x² + y²- 6x - 12y +29=0
Answer:
radius 4
center (3,6)
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
x² + y²- 6x - 12y +29=0
x² - 6x + y²- 12y +29=0
(x² - 6x) + (y²- 12y) +29=0
complete the square
(x² - 6x) + 9 + (y²- 12y) +36 +29= + 9 +36
(x² - 6x + 9) + (y²- 12y + 36) = + 9 +36 -29
(x-3)^2 + (y-6)^2 = 16
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
center (3,6)
radius 4
cuemathcom
varsitytutors
Answer: Center: (3,2) Radius: 5
Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12
Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25
Circle centered at (3,2) with radius = 5
Gail Stough is a customer service representative at an amusement park and earns $8.40 per hour. How much does she make in a week?
Learn with an example
on the last day of a shakespeare class, an english teacher asked her students which play
they liked most. out of the 12 students, 3 liked macbeth best.
what is the probability that a randomly selected shakespeare student likes macbeth best?
write your answer as a fraction or whole number.
p(macbeth) =
a book store was selling 7 books for $39.55. online you could buy 3 books for $24.96. which place has a lower unit price
Answer:
the book store selling 7 books for $39.55 (the book store)
Step-by-step explanation:
we have to calculate what each book costs. to find out what each book costs, we have to use division...
so for the book store:
39.55 / 7 = 5.65 - this means that each book costs $5.65 by itself
for the online store:
24.96 / 3 = 8.32 - this means that each book costs $8.32 by itself
now we have to compare the prices... $5.65 costs less than $8.32, so the book store would have a lower unit price.
(Look at image) Need help for question 5. Need this by tomorrow ASAP!
(Repost cuz it’s gonna be impossible for anyone to answer at the rate of questions asked)
Answer:
little falls has more
Step-by-step explanation:
show your work: little falls total rainfall is 1 6/8 and riverside is 1 5/8
use that to explain :) your welcome
Answer:
Riverside had the greatest rainfall total
Step-by-step explanation:
The total amount of rain in a city will be the sum of products of rain amount and days that got that amount. The city with the largest sum got the most rain. The difference in rainfall can be found by subtracting the lesser amount from the greater.
__
RiversideTotal rainfall in Riverside was ...
(1/8)×1 +(2/8)×3 +(3/8)×3 +(4/8)×1 +(5/8)×1
= (1 +6 +9 +4 +5)/8 = 25/8 = 3 1/8 . . . . inches
__
Little FallsTotal rainfall in Little Falls was ...
(1/8)×1 +(3/8)×1 +(4/8)×1 +(6/8)×2
= (1 +3 +4 +12)/8 = 20/8 = 2 1/2 . . . . inches
__
Riverside had more rainfall, because 3 1/8 is more than 2 1/2.
__
Without calculationYou can "cancel" dots that are in the same place on each plot. Doing so leaves Riverside with 3 dots at 2/8, 2 dots at 3/8, and 1 dot at 5/8. The remaining dots on the Little Falls plot are the 2 dots at 6/8.
The 3 dots at 2/8 add up to 6/8, as do the 2 dots at 3/8 on the Riverside plot. These two 6/8 values cancel the two 6/8 dots on the Little Falls plot. That leaves one uncancelled dot at 5/8 on the Riverside plot, indicating more rain fell at Riverside.
An open box is to be made out of a 6-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. find the dimensions of the resulting box that has the largest volume.
dimensions of the bottom of the box:
height of the box:
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
Dimensions of the bottom of the box: L x W
Height of the box:
SOLUTION
Diagram
Cardboard with x2 area cutouts...
··················14 - 2x
···x··¦¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¦···x··
¦——¦·······························¦——¦
¦·············································¦
¦·············································¦ 6 - 2x
¦·············································¦
¦——¦·······························¦——¦
···x··¦___________________¦··x···
Volume = l·w·h
After cutouts:
l = 14 - 2x
w = 6 - 2x
h = x
V = (14 - 2x)(6 - 2x)(x) in3
V = 4x3 - 40x2 + 84x in3
To maximize the volume, take the derivative of V with respect to x, set it equal to zero, and solve for x:
dV/dx = 0 = 12x2 - 80x + 24
x2 - (20/3)x + 7 = 0
x = (10 ± √37)/3 in
Since (6 - 2x) yields a negative number for x = (10 + √37)/3 we use only x = (10 - √37)/3
Thus, the dimensions are:
l = 14 - 2x = 11.39 in
w = 6 - 2x = 3.39 in
h = x = 1.31 in
Base = l·w = 38.59 in2
Volume = 50.39 in3
Extra points and brainiest if you answer this correctly because i need some help!!
mrs. gold is planning a field trip for her class to the zoo. the zoo is 12 miles away. the map she uses has a scale of 1 inch to 3 miles. how far in inches is the zoo from the school on the map?
The zoo is 12 inches from the school on the map
How to determine the distance in inches?The given parameters can be represented using the following ratio:
Ratio = 1 inch : 3 miles
For 12 miles, we have:
Distance :12 miles = 1 inch : 3 miles
Multiply by 4
Distance :12 miles = 4 inches : 12 miles
By comparison, we have:
Distance = 12 miles
Hence, the zoo is 12 inches from the school on the map
Read more about scale ratio at:
https://brainly.com/question/2328454
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Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment. Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jeriel performs the experiment 31 times. The results are shown below: A strawberry chew was selected 24 times. A lemon chew was selected 3 times. A watermelon chew was selected 4 times. Based on these results, express the probability that the next chew Jeriel removes from the bag will be a flavor other than lemon as a decimal to the nearest hundredth.
The probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be 90.32%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment.
Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag.
Jeriel performs the experiment 31 times.
The results are shown below:
A strawberry chew was selected 24 times.
A lemon chew was selected 3 times.
A watermelon chew was selected 4 times.
Based on these results, express the probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be
P = 24/31 + 4/31
P = 28/31
P = 0.90322
P = 90.32%
More about the probability link is given below.
https://brainly.com/question/795909
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Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0
Answer:
See below
Step-by-step explanation:
Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:
[tex]2x+10=0\\2x=-10\\x=-5[/tex]
[tex]x-7=0\\x=7[/tex]
Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:
[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]
[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]
A map has a scale of 1 cm: 10 km. If Centerville and Greenwood are 40 km apart, then they are how far
apart on the map?
(Pls answer quick)
Answer:
4 cm
Step-by-step explanation:
1 cm : 10 km (given)-> 1*4 cm = 10*4 km (Multiply both sides by 4)-> 4 cm = 40 kmScale
1cm:10kmScale factor=10
Distance of Greenwood=40km
Now apart in map
40/104cmWhich of the following is a radical equation?
Ox√3=13
O x+√3=13
O√x+3=13
O x+3=√13
Answer:
The answer is c because of how the equation is set and made
The radical equation is √x+3=13. Therefore, option C is the correct answer.
What is radical equation?A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.
In option C, x is under radical, so it is radical equation.
Here, √x+3=13
√x=13-3
√x=10
Therefore, option C is the correct answer.
Learn more about the radical form here:
brainly.com/question/27272065.
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Sam is saving money to buy himself a new phone. He currently has $95. He is able to save about $20 a week. Let represent how much money he has saved, and the number of weeks that have passed since the current date. Choose the correct function rule.
a. s(w) = 95 + 20w
b. s(w) = 95w + 20
c. w(s) = 95s + 20
d. w(s) = 95 + 20s
Answer:
the correct answer is d
Step-by-step explanation:
w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had