Answer:
The diver's new depth is -42 ft.
Step-by-step explanation:
Given : A scuba diver at a depth of -12 ft (12 ft below sea level), dives down to a coral reef that is 3.5 times the diver's original depth.
To find : What is the diver's new depth?
Solution :
A scuba diver at a depth of -12 ft.
Dives down to a coral reef that is 3.5 times the diver's original depth.
So, We have to multiply the original depth by 3.5.
i.e. [tex]d=-12\times 3.5[/tex]
[tex]d=-42[/tex]
Therefore, the diver's new depth is -42 ft.
An elevator descends 1500 feet in 60 seconds. Find the change in height per second.
At each turn, a gambler bets a certain amount, wins it with probability p and loses it with probability q = 1−p. when he begins playing, he has $k for some integer k > 0 and his goal is to reach $n for some integer n > k, after which he stops playing. he also stops playing if he loses all his money. the gambler has the option of betting $1 at each turn and the option of betting $0.5 at each turn. show that betting $0.5 is a better option if p > 1/2 and that betting $1 is a better option if p < 1/2.
I mean obviously u.s prices are cheaper but is it really better? I need help
Rewrite the expression 2(1+2)-9 using the distributive property.
At a rate of 4%, you paid $144.00 in interest over a two-year period. What was the original amount of your loan?
A. $2,000.00
B. $2,550.00
C. $2,250.00
D. $1,800.00
Which property is demonstrated below?
17/3 * 3/17=1
associative property of multiplication
inverse property of multiplication
identity property of multiplication
commutative property of multiplication
we know that
The Inverse Property of Multiplication states that the product of any number and its multiplicative inverse is one
so
[tex]\frac{a}{b}* \frac{b}{a}=1[/tex]
in this problem we have
[tex]\frac{a}{b}=\frac{17}{3}[/tex]
[tex]\frac{b}{a}=\frac{3}{17}[/tex] -----> multiplicative inverse of [tex]\frac{a}{b}[/tex]
substitute
[tex]\frac{17}{3}*\frac{3}{17}=1[/tex]
therefore
the answer is
inverse property of multiplication
Answer:
inverse property of multiplication or b on edg 2021
Step-by-step explanation:
An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum values of I
Final answer:
The maximum value of the electric current I is 1 + √8, and the minimum value is -1 - √8, found by considering the amplitudes of the cosine and sine components in the given function.
Explanation:
The maximum and minimum values of an electric current, I, can be found by analyzing the function I=cos(wt)+√8sin(wt), where w is a constant and ≠0.
To find the maximum and minimum values, we need to consider the amplitude of the sine and cosine components separately. The maximum amplitude of the cosine function is 1, and for the square root of 8 times the sine function, it is √8. Therefore, the maximum possible value of the current is when both the sine and cosine functions are at their peaks. In this case, the maximum value of I would be 1 + √8.
To find the minimum value, we consider the case when the cosine function is at its minimum value, -1, and the sine function is also at its minimum, which can also be - √8. Therefore, the minimum possible value of I would be -1 - √8.
What is the volume of a 575 gram bar of pure gold
Explain why the hypotenuses of the triangles below have the same slope.
A pyramid-shaped building is 340 ft tall and has a square base with sides of 567 ft. The sides of the building are made from reflective glass. What is the surface area of the reflective glass?
Six hikers shared 4 1/2 lbs of trail mix. How much trail mix did each hiker receive?
What are the amplitude, period, and midline of f(x) = −4 cos(2x − π) + 3?
write the equation for a line that intersects points (1,3) and (2,5)
John drives to work each morning and the trip takes an average of µ = 38 minutes. the distribution of driving times is approximately normal with a standard deviation of σ = 5 minutes. for a randomly selected morning, what is the probability that john's drive to work will take between 36 and 40 minutes?
write an addition problem that has sum of 8/5
Which number sentence correctly solves this problem?
Mount Everest is 8,848 meters high. K2 Mountain is 8,611 meters high. How much higher is Mt. Everest than K2 Mountain?
A.
8,848 + 8,611 = 17,459
B.
8,848 – 8,611 = 1,237
C.
8,848 – 8,611 = 237
D.
8,848 + 8,611 = 16,459
What are the maximum data rates of 802.11 legacy, 802.11a, 802.11b, and 802.11g?
The 802.11 standards designate maximum data rates: 802.11 legacy offers 2 Mbps, 802.11a and 802.11g both offer 54 Mbps, and 802.11b offers 11 Mbps. These maximum rates depend on ideal conditions and can be lower in real-world usage.
Explanation:The 802.11 wireless standards determine the maximum achievable data rates between a wireless device and a wireless access point. Here are the maximum data rates for the 802.11 legacy, 802.11a, 802.11b, and 802.11g:
802.11 legacy: The theoretical maximum speed is 2 Mbps.802.11a: It has a maximum data rate of 54 Mbps.802.11b: This standard allows for a maximum data rate of 11 Mbps.802.11g: This offers a maximum data rate of 54 Mbps, the same as 802.11a, but it is more widely compatible with other devices as it operates on the 2.4 GHz band.It's important to note that these are the maximum possible data rates, under ideal conditions. In real-world usage, the actual data rate can be lower due to factors such as distance from the access point, interference, and the number of devices connected to the network.
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The length of a rectangle is five times its width. If the area of the rectangle is 125 m2 , find its perimeter.
you have 5 quarts of paint. It takes 5/8 quarts to paint each chair you are asked to paint. How many chairs can you paint?
A quotient of 8.4×10^9 and a number n results in 5.6×10^27 what is the value of n
The area of a circle is 25 in. What is it’s radius?
A car dealer recently sold five cars for the following profits 10, 126, 9,999, 12,398, 12,007, and 4,567. What was the mean for the profits of the sales
A submarine is 671 feet below sea level. If it ascends 218 feet and then descends 1363 feet, what is its new position?
Answer:
c = 1816 feet below sea level
Step-by-step explanation:
A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans. Find the price of each combination of items.You decide to buy 3 packages of 10 cans. How much do you pay for each can?
Answer:
$1.4
Step-by-step explanation:
Given, Price of a package of 10 cans = $14
and, Price of an individual can = $2
Now, if I have to purchase at least 25 cans their are two possible ways:
Purchasing 2 packages of the can and then purchase rest individual cans. Thus, if I have to purchase 25 cans it costs: 14 × 2 + 5 × 2 = $38.Purchasing 3 packages of cans. It will cost me: 3 × 14 = $42. But it will give me an extra 5 cans.
Further, if I decided to buy 3 packages of 10 cans it will cost me $42 and I will pay $1.4 for each can.
rewrite 19/30 and 13/20 so that they have a common denominator then Then, use
<
,
=
, or
>
Answer: [tex]\dfrac{38}{60}<\dfrac{39}{60}[/tex]
Step-by-step explanation:
The given fractions : [tex]\dfrac{19}{30}\text{ and }\dfrac{13}{20}[/tex]
The denominators of the above fraction : [tex]30, 20[/tex]
Least common multiple (LCM) of (30,20)=[tex]3\times2\times5\times2=60[/tex]
Multiply 2 to the numerator and denominator of [tex]\dfrac{19}{30}[/tex] and 3 to the numerator and denominator of [tex]\dfrac{13}{20}[/tex], we get
[tex]\dfrac{19\times2}{30\times2}=\dfrac{38}{60}[/tex]
[tex]\dfrac{13\times3}{20\times}=\dfrac{39}{60}[/tex]
Clearly , [tex]\dfrac{38}{60}<\dfrac{39}{60}[/tex]
What best describes the greatest height a ball will bounce off the ground after being dropped from a height of 50 centimeters? Less than 50 centimeters, as the ball transforms some of its thermal energy into sound energy Less than 50 centimeters, as the ball transforms some of its potential energy into sound energy Greater than 50 centimeters, as the ball transforms some of its thermal energy into potential energy Greater than 50 centimeters, as the ball transforms some of its potential energy into thermal energy
Answer:
B) Less than 50 centimeters , as the ball transforms some of its potential energy into sound energy
6 people share 3/5 pounds of peanuts equally what fraction of a pound of peanuts does each person receive
Services provided by public-service companies, such as water, electricity, and gas, are all known as
Answer:
Step-by-step explanation:
A. UTILITIES
which is greater - 0.2 ml. or 0.15 ml.
whole numbers includes zero but natural numbers do not
This is a true statement!
The set of counting numbers {1, 2, 3, 4, 5, ...} is called the set of natural numbers. The natural numbers begin at 1 and go on indefinitely.
When we include 0 in the natural numbers, we then have a new set of numbers called the whole numbers. All the natural numbers are contained within the set of whole numbers.