The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. In a lifetime, your heart will beat an estimated 2.925 x 10^9 times.
Explanation:The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, we can multiply the number of heartbeats in one year by the average life span:
39 million heartbeats/year x 75 years = 2.925 billion heartbeats in a lifetime
In scientific notation, this can be expressed as 2.925 x 10^9 heartbeats.
The average heart beats approximately 3 billion times during a 75-year lifespan.
Explanation:The average heart beats approximately 108,000 times in one day, more than 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, you multiply the average heartbeats per year by the number of years in your lifespan.
For example, if we assume an average lifespan of 75 years, we can estimate the number of heartbeats in a lifetime:
39,000,000 heartbeats/year x 75 years = 2,925,000,000 heartbeats in a lifetime (2.9 x 10^9)
Suppose that △ XYZ is isosceles with base YZ . Suppose also that = m ∠ X + 2 x 52 ° and = m ∠ Y + 4 x 34 ° . Find the degree measure of each angle in the triangle.
#8 surface area please explain
At sea, the distance D to the horizon is directly proportional to the square root of the elevation E of the observer. If a person who is 36 feet above the water can see 7.4 miles, find how far a person 49 feet above the water can see.
Mr Richards science class is conducting a variety of expirements with projectiles and falling objects DROP DOWN ANSWERS ARE GROUPS A-D
Which system of linear inequalities is represented by the graph?
x – 3y > 6 and y > 2x + 4
x + 3y > 6 and y > 2x – 4
x – 3y > 6 and y > 2x – 4
x + 3y > 6 and y > 2x + 4
Answer:
So the answer is D
Step-by-step explanation:
how many different combinations of 1 odd number and 1 shape are possible
Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
suppose a new car that cost 20 000 depreciates by 15% each year. in how many year till the car costs 7500. use the equation 7500=(20,000)(0.85)^x
HELP PLEASE! −3.64⋅|−5.3|−1.53
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Absolute value of -5.3
To solve −3.64⋅|−5.3|−1.53, calculate the absolute value of −5.3, which is 5.3, then multiply by −3.64 to get −19.292, and finally, subtract 1.53 to result in −20.822.
Explanation:You have presented a mathematical expression involving absolute value and multiplication: −3.64⋅|−5.3|−1.53. Let's solve this step by step:
First, determine the absolute value of −5.3, which is 5.3 because absolute value represents the distance of a number from zero without considering direction.Next, multiply −3.64 by the absolute value you just calculated: −3.64 * 5.3.Once you have the result of that multiplication, subtract 1.53 from it to get the final answer.
Now performing the operations:
−3.64 * 5.3 = −19.292−19.292 - 1.53 = −20.822Therefore, the result of the given expression −3.64⋅|−5.3|−1.53 is −20.822.
how dpyou find the area of a trapizoid
Answer:
add the parallel sides and divide by 2
then multiply it by the perpendicular side so
Step-by-step explanation:
A=side one+side two x2
2
A box of 25 light bulbs is shipped to a hardware store.when it arrives,four of the bulbs are broken.predict the number of broken light bulbs in an order of 125 bulbs
Final answer:
The prediction method for the number of broken light bulbs in an order is based on a proportional relationship. Using the ratio from a smaller sample, it's calculated that an order of 125 light bulbs would result in 20 broken bulbs, assuming the breakage rate stays constant.
Explanation:
Given that 4 out of 25 light bulbs are broken in the initial order, we can predict the number of broken light bulbs in a larger order of 125 bulbs. The ratio of broken bulbs to total bulbs in the initial order is 4 broken bulbs for every 25 bulbs.
To find the predicted number of broken bulbs in a larger order, you multiply the total number of bulbs in the larger order by the ratio of broken bulbs in the smaller order. The calculation for the larger order of 125 bulbs would be:
(4 broken bulbs / 25 total bulbs) × 125 total bulbs in the larger order = 20 broken bulbs
Therefore, if 25 light bulbs yield 4 broken ones, an order of 125 light bulbs is predicted to have 20 broken bulbs, assuming the rate of breakage remains consistent.
What is the least whole number that has exactly 9 factors, including 1 and itself?
To find the number of centimeters in 10 inches, multiply the number of inches given (10) by _____.
3.04
2.54
2.78
2.44
Miguel is making an obstacle course for field day. At the end of every sixth of the course, there is a tire. At the end of every third of the course, there is a cone. At the end of every half of the course, there is a hurdle. At which locations of the course will people need to go through more than one obstacle?
People will need to go through more than one obstacle at locations 1, 2, and 3 on the course.
let's break it down:
Tires: Appear every sixth of the course.
Cones: Appear every third of the course.
Hurdles: Appear every half of the course.
To find where people need to go through more than one obstacle, we need to find the common multiples of these fractions.
Tires (1/6 of the course):
Locations of tires: 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 (which is the end)
Locations: 1, 2, 3, 4, 5, 6
Cones (1/3 of the course):
Locations of cones: 1/3, 2/3, 3/3 (which is the end)
Locations: 1, 2, 3
Hurdles (1/2 of the course):
Locations of hurdles: 1/2, 2/2 (which is the end)
Locations: 1, 2
Now, let's find where there are overlaps:
Location 1: There's a tire, a cone, and a hurdle.
Location 2: There's a tire and a cone.
Location 3: There's a tire and a cone.
Location 4: There's a tire.
Location 5: There's a tire.
Location 6: There's a tire.
So, people need to go through more than one obstacle at locations 1, 2, and 3.
What is the slope of a line that is perpendicular to the line shown? (0, 2) (3, 0)
a book normally costs $21.50. today it was on sale for 15.05. what percentage discount was offered during the sale?
Final answer:
To calculate the percentage discount of a book, subtract the sale price from the original price, divide by the original price, and multiply by 100. The detailed calculation shows that the book had a 30% discount during the sale.
Explanation:
The question asks how to calculate the percentage discount of a book that has been reduced from its normal price to a sale price. To find the percentage discount, we subtract the sale price from the original price, and then divide this difference by the original price. Finally, we multiply by 100 to get the percentage.
Step-by-Step Solution:
Calculate the difference in price: $21.50 (original price) - $15.05 (sale price) = $6.45 (amount discounted).Divide the discount by the original price: $6.45 / $21.50.Convert the result to a percentage: ($6.45 / $21.50) × 100 = 30%.The percentage discount offered on the book during the sale was 30%.
A culture started with 6000 bacteria after 3 hours ot grew to 7200 bacteria Predict how many bacteria will be present after 19 hours
Answer:
19038
Step-by-step explanation:
Given : A culture started with 6000 bacteria after 3 hours to grew to 7200 bacteria
To Find: Predict how many bacteria will be present after 19 hours
Solution:
General Form of exponential function: [tex]y=ab^x[/tex]
where y is the amount after x hours
x is the time
a is the initial amount
b is the growth factor
Bacteria initial amount= a = 6000
Time = x = 3 hours
Amount of bacteria after 3 hours = 7200
Substitute the values in the general form
[tex]7200=6000(b)^3[/tex]
[tex]\frac{7200}{6000}=(b)^3[/tex]
[tex]\sqrt[3]{\frac{7200}{6000}}=b[/tex]
[tex]1.06265856918=b[/tex]
Now we are supposed to find how many bacteria will be present after 19 hours
So, Bacteria initial amount= a = 6000
Time = x = 19 hours
Amount of bacteria after 19 hours = y
Substitute the values in the formula:
[tex]y=6000(1.06265856918)^{19}[/tex]
[tex]y=19038.488[/tex]
Hence there will be approximately 19038 bacteria present after 19 hours
Solutions for the system 10x^2 -y=48
2y=16x^2+48
Answer:
Solutions are (x, y) = (-6, 312) and (6, 312).
Step-by-step explanation:
the average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes with a standard deviation of 3.6 minutes assume the variable is normally distributed what is the probability that a patron Will Wait less than 18 minutes or more than 25 minutes
To determine the probability of a patron waiting less than 18 minutes or more than 25 minutes at a restaurant, we calculate the Z-scores for each time, look up the corresponding probabilities in a standard normal distribution table, and add the probabilities together.
To find the probability that a patron will wait less than 18 minutes or more than 25 minutes at a restaurant with an average waiting time of 23.5 minutes and a standard deviation of 3.6 minutes, assuming a normal distribution, we need to calculate two separate probabilities and then add them together.
First, we calculate the Z-score for 18 minutes, which is (18 - 23.5) / 3.6. Then, we find the corresponding probability from the standard normal distribution table. This gives us the probability of waiting less than 18 minutes.
Secondly, we calculate the Z-score for 25 minutes, which is (25 - 23.5) / 3.6. The corresponding probability gives us the probability of waiting more than 25 minutes. However, we want the probability of waiting longer, so we subtract this probability from 1 to find the probability of waiting more than 25 minutes.
Adding both probabilities gives us the total probability of a patron waiting either less than 18 minutes or more than 25 minutes.
Luke purchased a motorcycle for $8,765. It depreciates about 5.3% each year. What is the value of the motorcycle after five years?
What is the measure of
Cheryl paid 37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
Answer:
A quart of ice cream costs $0.775
Step-by-step explanation:
This problem can be solved by a rule of three problem.
Rule of three problem:
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The number of gallons of ice cream
- The cost
As the number of gallons increases, so will the cost that Cheryl paid. So, the relationship between the measures is direct and we have the following rule of three.
12 gallons - $37.20
1 gallon - $x
12x = 37.20
[tex]x = \frac{37.20}{12}[/tex]
x = $3.1
Each gallon cost $3.1. Each gallon also has 4 quarts, so the cost of 4 quarts is $3.1. To find the cost of a quart of ice cream
4 quarts - $3.1
1 quart - $x
4x = 3.1
[tex]x = \frac{3.1}{4}[/tex]
x = $0.775
A quart of ice cream costs $0.775
Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyrone works 40 hours per week and has no other sources of income, what is his total monthly cash inflow? (Hint: Assume that there are 4 pay periods per month.)
a. $273.60
b. $1,080.00
c. $1,800.00
d. $2,073.60
Would It Be D?
Answer:
Yes the Answer is
"D" $2,073.60
Step-by-step explanation:
Correct on edg. 2021
Suppose u = f(x, y) with x = r cos θ and y = r sin θ. find ∂u ∂r .
The volume of a cylinder is 224π cubic centimeters and its radius is 4 centimeters. What is the height of the cylinder? Enter your answer in the box.
The height of the cylinder is 14 centimetres.
To find the height of the cylinder, we use the formula for the volume of a cylinder, which is given by [tex]\( V = \pi r^2 h \),[/tex] where V is the volume, r is the radius, and h is the height.
Given that the volume V is [tex]224\pi[/tex] cubic centimetres and the radius r is 4 centimetres, we can substitute these values into the formula to solve for the height h:
[tex]\[ 224\pi = \pi (4)^2 h \][/tex]
Simplifying the equation by dividing both sides [tex]\( \pi \) and \( (4)^2 \),[/tex]we get:
[tex]\[ \frac{224\pi}{\pi \cdot 16} = h \][/tex]
[tex]\[ \frac{224}{16} = h \][/tex]
[tex]\[ 14 = h \][/tex]
Therefore, the height h of the cylinder is 14 centimetres.
a fish is 12 meters above the surface of the ocean. what is its elevation
How do I convert 12 ounces into grams. Please help
Mia bought 10 1/9 lb of flour. She used 2 3/4 lb of flour to bake a banana cake and some to bake a chocolate cake. After baking two cakes, she had 3 5/6 lb of flour left. How much flour did she use to bake the chocolate cake?
Mia used [tex]3\frac{19}{36}[/tex] lb of flour to bake the chocolate cake.
Further Explanation
Given:
Total flour [tex]10\frac{1}{9}[/tex] lbs
She used:
[tex]2\frac{3}{4}[/tex] for banana cake
x lbs for chocolate cake
Flour left [tex]3\frac{5}{6}[/tex] lbs
How much flour did she use to bake the chocolate cake?
so the flour that Mia use for banana cake is total flour subtract the flour that she used plus the left over.
x =Total flour - flour for banana cake - left over
[tex]\boxed {= 10\frac{1}{9} - 2\frac{3}{4} - 3\frac{5}{6} } \\[/tex]
I am going to put this into improper fraction
[tex]\boxed { = \frac{91}{9} - \frac{11}{4} - \frac{23}{6} }[/tex]
because the denominator is different, we are going to find the common denominator for 9, 4 and 6 which is 36
[tex]\boxed {= \frac{364-99-138}{36} }\\ \boxed {= \frac{127}{36} }\\\boxed {= 3\frac{19}{36} }[/tex]
So the flour that she use to bake the chocolate cake is [tex]3\frac{19}{36}[/tex] lbs
Learn MorePart to whole relationship https://brainly.com/question/11677654
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Keyword: mixed fraction, subtraction, improper fraction, part to whole relationship
math hw..................
Michael has a total of 15 bills that are either $1 bills or $5 bills. If the total amount of money he has is $47, how many $5 bills does he have?