The total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.
To calculate time:
We are to estimate the total number of times a human heart beats in an average lifetime based on the question.Based on the information provided,We will assume 69.6 heartbeats per minute.To calculate the total number of times the heart of human beats in an average lifetime of 89.3 years,
In 89.3 years, we will calculate the number of minutes.
89.3 years = 89.3 × 365.25 × 24 × 60 minutes89.3 years = 46968228 minutesBecause there are 69.6 heartbeats per minute
Then,
There are 46968228 heartbeats in 46968228 minutes.
46968228 × 69.6 = 3,268,988,688.8 heartbeatsTherefore, the total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.
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A prize at an arcade costs 545 tickets. You have 435 tickets, and your friend has
690 tickets. Can you buy the prize when your friend gives you 1/6 of their tickets?
Explain.
(-1)⁵, 3`⁶, 3⁶, 5¹, 10°, 0.1
the 3⁶ is a negative exponent
What is this least to greatest?
The least to greatest will [ ( - 1 ) ^ 5 ] < [ 3 ^ ( - 6 ) < 0.1 < ( 10 ^ 0 ) < ( 5 ^ 1 ) < ( 3 ^ 6 ) .
( - 1 ) ^ 5 , 3 ^ ( - 6 ) , 3 ^ 6 , 5 ^ 1 , 10 ^ 0 , 0.1
Simplifying each of them
( - 1 ) ^ 5 = - 1
3 ^ ( - 6 ) = 0.001
3 ^ 6 = 729
5 ^ 1 = 5
10 ^ 0 = 1
0.1 = 0.1
Least to greatest = - 1 < 0.001 < 0.1 < 1 < 5 < 729
= [ ( - 1 ) ^ 5 ] < [ 3 ^ ( - 6 ) < 0.1 < ( 10 ^ 0 ) < ( 5 ^ 1 ) < ( 3 ^ 6 )
Hence , least to greatest will [ ( - 1 ) ^ 5 ] < [ 3 ^ ( - 6 ) < 0.1 < ( 10 ^ 0 ) < ( 5 ^ 1 ) < ( 3 ^ 6 ) .
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kurt busch won the daytona 500 (mile) race with a rate of 143.187 mph in 2017. find his time to the nearest thousandth
The time taken to finish the race is 3.49 hours
Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
Given,
The total distance = 500 miles
The speed = 143.187 mph
We know, Speed = Distance / Time
Time = Distance / Speed
Substitute the values
Time = [tex]\frac{500}{143.187}=3.49[/tex] hours
Hence, the time taken to finish the race is 3.49 hours
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Can someone please help I will be giving Brainliest to whoever can answer :)
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
1. A = {(x, y): y > x^2}
2. B = {(x, y): y ≥ x^2+ 3}
3. C = {(x, y): y ≤ 3x^2 + 2}
4. D = {(x, y): y ≥ 2x^2- 5x + 1}
The inequalities are matched with their correct graph respectively as follows:
D ⇒ {(x, y): y > x²}.G ⇒ {(x, y): y ≥ x²+ 3C ⇒ {(x, y): y ≤ 3x² + 2}A ⇒ {(x, y): y ≥ 2x² - 5x + 1}J ⇒ x²- 3x ≥ 0H ⇒ x² - 3x + 2 ≤ 0B ⇒ {(x, y): y ≤ 1 - x²} B ⇒ {(x, y): y ≥ -1}What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.
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Complete Question:
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
1. A = {(x, y): y > x^2}
2. B = {(x, y): y ≥ x^2+ 3}
3. C = {(x, y): y ≤ 3x^2 + 2}
4. D = {(x, y): y ≥ 2x^2- 5x + 1}
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2}
9. {(x, y): y ≥ -1}
please help!!!!!!!!!!!!!!!!
Answer:
the answer is simple you just p times a
and d
Step-by-step explanation:
:]
Answer:
hope this help you
Step-by-step explanation:
p times x and d
Find the surface area of that part of the plane 4x 5y z=74x 5y z=7 that lies inside the elliptic cylinder x225 y2100=1
Solve for [tex]z=f(x,y)[/tex] in the plane equation.
[tex]4x + 5y + z = 7 \implies f(x,y) = z = 7 - 4x - 5y[/tex]
Let [tex]E[/tex] be the set of points in the plane [tex]z=0[/tex] bounded by the ellipse [tex]\frac{x^2}{25}+\frac{y^2}{100}=1[/tex], i.e.
[tex]E = \left\{(x,y) ~:~ \dfrac{x^2}{25} + \dfrac{y^2}{100} \le 1\right\}[/tex]
Then the area of the plane bounded by the elliptic cylinder is
[tex]\displaystyle \iint_E dA = \iint_E \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\frac{\partial f}{\partial y}\right)^2} \, dx \, dy \\\\ ~~~~~~~~ = \iint_E \sqrt{1 + (-4)^2 + (-5)^2} \, dx\, dy \\\\ ~~~~~~~~ = \sqrt{42} \iint_E dx \, dy[/tex]
which is simply √42 times the area of the ellipse in the plane [tex]z=0[/tex]. This ellipse has a minor axis of length 5 and a major axis of length 10, so its area is π•5•10 = 50π, and so the area of the plane in question is 50√42 π.
To confirm this result: In polar coordinates, with
[tex]\begin{cases}x(r,\theta) = 5r\cos(\theta) \\ y(r,\theta) = 10r\sin(\theta) \\ \frac{x^2}{25}+\frac{y^2}{100}=r^2\end{cases}[/tex]
the area element is
[tex]dA = \begin{vmatrix}\frac{\partial x}{\partial r}&\frac{\partial x}{\partial\theta} \\ \frac{\partial y}{\partial r} & \frac{\partial x}{\partial\theta}\end{vmatrix} \, dr \, d\theta \\\\ ~~~~~~~~ = \begin{vmatrix}5\cos(\theta)&-5r\sin(\theta)\\10\sin(\theta)&10r\cos(\theta)\end{vmatrix} \, dr \, d\theta \\\\ ~~~~~~~~ = \left(50r\cos^2(\theta)+50r\sin^2(\theta)\right)\,dr\,d\theta \\\\ ~~~~~~~~ = 50r \, dr \, d\theta[/tex]
The ellipse can be parameterized by
[tex]E = \left\{(r,\theta) ~:~ 0\le\theta\le2\pi \text{ and } 0\le r\le1\right\}[/tex]
so that the integral for the area of the ellipse in the plane [tex]z=0[/tex] is
[tex]\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 50r \, dr \, d\theta \\\\ ~~~~~~~~ = 100\pi \int_0^1 r \, dr \\\\ ~~~~~~~~ = 100\pi\left(\frac12-0\right) = 50\pi[/tex]
factor this 4r³ - 3r²-4r +3
Answer:
(4r - 3)(r + 1)(r - 1)
Step-by-step explanation:
In order to factor the polynomial [tex]\sf 4r^3 - 3r^2 - 4r + 3[/tex], we can use various factoring methods.
In this case, we can use grouping.
Let's break down the expression and factor it step by step:
Group the terms in pairs:
(4r^3 - 3r^2) +(-4r + 3)
Factor out the greatest common factor from each group:
[tex]\sf r^2(4r - 3) - 1(4r - 3)[/tex]
Notice that both groups have a common factor of (4r - 3): and keeping remaining in bracket
[tex]\sf (4r -3)(r^2-1)[/tex]
Now, the expression r² - 1 can be factored further using the difference of squares:
(r + 1)(r - 1)
So, the fully factored form of the polynomial 4r³ - 3r² - 4r + 3 is:
(4r - 3)(r + 1)(r - 1)
Draw the line of reflection that reflects \triangle ABC△ABCtriangle, A, B, C onto \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime.
Thus, the equation of the line of reflection,
x=2 and x=4
When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.
It is given that,
A=(7,6)
A'=(-1,6),
B=(5,5)
and B'=(1,5),
As, the mid point of vertices of figure to the corresponding vertices of reflected figure should lie on reflected line.
Since, Δ ABC is reflected to Δ A'B'C' through this line,
Let, Q be the mid point of line AA', using section formula
Coordinate of Q = ((7-(-1))/2 , (6-6)/2 )
Q = (4,0)
and R be the mid point of line BB', using section formula
Coordinate of R = Q = ((5-1)/2 , (5-5)/2 )
Q = (2,0)
Q and R lies on the line of the reflection,
Thus, the equation of the line of reflection,
x=2 and x=4
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a bike wheel. the weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. what is the weight of each tire in pounds? there are 453.592 grams in one pound. round answers to 2 decimal places.
According to the given statement the weight of each tire in pounds:
For 800 grams = 1.76 pounds.
For 700 grams = 1.54 pounds.
What significance does the weight conversion of typical baking ingredients have?For dry substances, it's crucial to convert to weight. While most recipes
meant for home chefs express the components by volume, most recipes in industrial kitchens express essential ingredients by weight.
How are conversion factors used?A conversion factor is indeed a number that is used to multiply or divide one set of units into another. If a conversion is necessary, it must be carried out with the right conversion factor to produce a value that is identical. That example in the case, when translating between inches and feet, 12 inches equals one foot.
According to the given data:800 grams must be converted to pounds.
(1 pound =453.592 x= 800)
800 must be divided by 453.592 to get the number 1.763699. To round it up: 1.76
We now repeat this for 700.
1,5432 when 700 is divided by 453.592. Rounding that down, we get: 1.54
The given statement the weight of each tire in pounds:
For 800 grams = 1.76 pounds.
For 700 grams = 1.54 pounds
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Determine whether the conclusion is based on inductive or deductive reasoning.Holly notices that every Saturday, her neighbor mows his lawn. Today is Saturday. Holly concludes her neighbor will mow his lawn.
Based on the explanation that is provided below, Holly's conclusion is based on inductive reasoning.
What is the difference between inductive and deductive reasoning?Inductive reasoning can be described as reasoning whose conclusion is based on a pattern of observations.
On the other hand, deductive reasoning refers to reasoning whose conclusion is based on a fact.
As Holly notices that every Saturday, her neighbor mows his lawn, this shows a pattern of observations.
This, therefore, implies that Holly's conclusion is based on inductive reasoning.
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Use prime factors to find the H.C. F and
L.C.M
-168 and 196
-150 and 180
(Refer to the table given below)
So,
LCM of 168 and 196: 1176LCM of 150 and 180: 900Then,
HCF of 168 and 196: 28HCF of 150 and 180: 30Therefore,
LCM of 168 and 196: 1176LCM of 150 and 180: 900HCF of 168 and 196: 28HCF of 150 and 180: 30Know more about LCM here:
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Find the complement of the set given that u = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (enter your answers as a comma-separated list.) {x | x is in n and x < 6}
A = { 0,6,7} is the complement of the set given.
What is the set in math?
Any grouping of items (elements) in mathematics and logic, whether or not they are mathematical (such as numbers and functions). A list of all the members of a set, wrapped in braces, is a typical way to represent a set. Even older than the concept of number is the intuitive conception of a set.What is sets and its types?
A set is referred to as a well defined group of objects. These things are referred to as set elements. Various sets are categorized based on how many components they include. Sets are essentially a grouping of unique components of the same type.Given U = { 0,1 , 2 , 3, 4,5,6,7 }
Let set A = { x/x < 6 and x ∈ NI}
A = { 1,2,3 ,4,5}
∴ AC = Complement of A = { 0,6,7}
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Jenny sells earrings and bracelets on Etsy. The earrings cost $5 a pair and bracelets cost $12. If Jenny made 20 pieces on Saturday for $156. How many of each type of jewelry did she make?
1. 10 earrings and 7 bracelets
2. 7 earrings and 10 bracelets
3. 12 earrings and 8 bracelets
4. 8 earrings and 12 bracelets
She makes 12 earrings and 8 bracelets of each type of jewelry. (option 3 is correct.)
Jenny sells earrings and bracelets on Etsy
The cost of a pair of earrings = $5
The cost of bracelets = $12.
If Jenny made 20 pieces on Saturday for the cost of $156.
Each type of jewelry made by Jenny is
Let she made X pair of earrings
Y number of bracelet
Then the linear equation will be
$5X +$12Y = $156
by using the given values in option we get the answer
X = 12
Y = 8
She makes 12 earrings and 8 bracelets of each type of jewelry. (option 3 is correct.)
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a positive five-digit integer is in the form $ab,cba$; where $a$, $b$ and $c$ are each distinct digits. what is the greatest possible value of $ab,cba$ that is divisible by eleven?
The required positive five-digit integer of the form ab,cba; which should be divisible by 11 is 87,978
Explain the divisibility test of 11.
For a number to be divisible by 11, the difference between the sum of its odd digits (1st, 3rd, 5th...) and the sum of its even digits (2nd, 4th...) must be divisible by 11.
Calculation for the positive five-digit integer of the form ab,cba to be divisible by 11
Required 5 digit number is of the form, ab,cba
Using the divisibility test of 11, we get
(b + b) - (a + c + a) to be divisible by 11
i.e. 2b - (2a + c) to be divisible by 11
Replacing ab,cba using the greatest numbers, such as 7, 8 and 9 and checking its divisibility with 11
78,987 = 2*8 - (2*7 + 9) = 16 - (14 + 9) = 16 - 23 = -7 NO
87,978 = 2*7 - (2*8 + 9) = 14 - (16 + 9) = 14 - 25 = -11 YES
79,897 = 2*9 - (2*7 + 8) = 18 - (14 + 8) = 18 - 22 = -4 NO
97,879 = 2*7 - (2*9 + 8) = 14 - (18 + 8) = 14 - 26 = -12 NO
89,798 = 2*9 - (2*8 + 7) = 18 - (16 + 7) = 18 - 23 = -5 NO
98,789 = 2*8 - (2*9 + 7) = 16 - (18 + 7) = 16 - 25 = -9 NO
Thus, a positive 5-digit number is 87,978
Hence, the required positive five-digit integer of the form ab,cba; which should be divisible by 11 is 87,978
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If the points A, B, and C are clinear with B between A and C, and if AC = 21 and AB = 7, what is the
length of line segment BC?
BC=
Answer: BC=14
Subtract AC by AB. Just learned this in Geomatry.
(-12c⁵) (3c⁴)
Sensitive fr
Simplify: (-12c⁵) (3c⁴)=36c⁹.
Simplification of (-12c^5) (3c^4) is -36c⁹.Given that
(-12c⁵) (3c⁴)To find
Simplification form of (-12c⁵) (3c⁴) = .........?So, according to the question
We have,
(-12c⁵) (3c⁴)To convert it in simplest form we have to use mathematically operations of powers.
= (-12c⁵) (3c⁴)
Now, separate the numerical and variable parts from equation
= (-12 ×3) c⁵× c⁴
Now, from using the mathematically operations of powers, to add powers, and multiply 12 with 3.
∵ [tex]a^m\times a^n = a^{m+n}[/tex]
∴[tex]c^5\times c^4 = c^{5+4}[/tex]
= (-36) c⁵⁺⁴
= (-36) c⁹
Simplification form of (-12c⁵) (3c⁴) = (-36) c⁹.
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dana walk 350 meter to school enevy day how many kio
Answer:
2.1
Step-by-step explanation:
If there are 6 family members in your family and they are all going to skate
4 hours each, it would cost $
Answer: 24c
Step-by-step explanation:
c = cost
6x4=24
24 times the amount it costs per hour c
24c
help me please
(2a+3)(3a-4)
Answer: 6[tex]a^{2}[/tex]+a-12
Step-by-step explanation:
First, you want to distribute (2a+3)(3a-4) ---> 2a(3a-4) + 3a(3a-4)
That will get you 6[tex]a^{2}[/tex]-8a+9a-12
Next, you will want to combine like terms to get 6[tex]a^{2}[/tex]+a-12
Since you cannot simplify that any further, 6[tex]a^{2}[/tex]+a-12 is your answer.
You have $30 to buy baseball cards. Each pack of cards costs $5. Write and solve an
inequality that represents the numbers of packs of baseball cards you can buy and
still have at least 40% of your money left.
Answer:
Your initial inequality should be 5x < 30
Step-by-step explanation:
I saw it on a answer similar to yours but it said "have at least 10$ of your money left"
What are the intercepts for the function y=-x-1 graphed bellow
Answer:
The intercept is - 1.
Hope this helps :)
Step-by-step explanation:
In the function y = - x - 1 the initial value which is the y-intercept is - 1, and the line intercepted at -1 on the y-axis. Also, the line on the graph also intercepted at - 1 on the x-axis too. So the interceptes is - 1.
Solve for x, given the equation square root of x plus 9 − 4 = 1. (2 points)
Answer:
x = 16
Step-by-step explanation:
A test has twenty questions
worth 100 points. Some
questions are worth three points,
some are worth eleven points.
How many three-point questions
are there? How many eleven
point questions are there?
There are 5 11 pointer questions and 15 3 pointer questions
We are given that total points of the test is 100
The test contains questions of two markings 3 points and 11 points
It is given that the total number of questions is 20
Let the number of three pointer questions be 'x' and the number of 11 pointer questions be 'y'
Thus total number of questions=x + y =20
Now the total sum of all the points comes to 100
Therefore,
3x+11y =100
x + y =20
x= 20-y
Now putting the value of x in the other question,
3(20-y) +11y =100
60-3y +11y=100
8y=100-60
8y=40
y=5
Thus x=20-y=20-5=15
Thus there are 5 11 pointer questions and 15 3 pointer questions
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Ordinarily, these two tests, confirmations and estimating allowance for doubtful accounts, focus on which primary concerns and audit objective(s) for accounts receivable?
Existence and value - Are the accounts for the AR really there, and can they be collected.
What are accounts receivable?Money owed to a business in the near future is represented by the asset account known as accounts receivable on the balance sheet. When a business permits a customer to pay for its products or services on credit, accounts receivable are generated. Similar to accounts receivable, accounts payable tracks money that is due as opposed to money that will be collected. The ratio of accounts receivable to sales outstanding or days sales outstanding can be used to determine how strong an organization's AR is. To determine when the AR will really be received, a turnover ratio study might be performed.
Briefing:Existence is an audit affirmation that the auditor must examine to ensure that all accounts receivable are present.
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If Mr. Smith's full recipe makes 10 cups
of chili and serves 15 people. What is the
serving size in cups?
Create a function that has been:
Shifted right 3 units
Shifted up 2 units
Reflected about the x-axis
A function that has been transformed by the given transformations is y = -f(x - 3) + 2
How to create a function that has been transformed?The transformation are given as:
Shifted right 3 unitsShifted up 2 unitsReflected about the x-axisLet the equation of the parent function be
y = f(x)
So, we have the following transformations
Shifted right 3 units
The transformation rule is
(x, y) = (x - 3, y)
So, we have:
y = f(x - 3)
Shifted up 2 units
The transformation rule is
(x, y) = (x, y + 2)
So, we have:
y = f(x - 3) + 2
Reflected about the x-axis
The transformation rule is
(x, y) = (x, -y)
So, we have:
y = -f(x - 3) + 2
Hence, a function that has been transformed by the given transformations is y = -f(x - 3) + 2
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find y intercept when y=3x-1
Answer:
Y-intercept is -1
Step-by-step explanation:
Slope-intercept form:
y=mx+b
b=y-intercept
m=slope
y=3x-1
b=-1
Hope this helps!
Please mark as brainliest if correct!
The table shows the numbers y of students absent from school x days after a flu outbreak.
Write a function that models the data.
Use the model to approximate the number of students absent 10 days after the outbreak.
A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
What is a quadratic function?A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the polynomial function is given by:
y = -0.4908x² + 5.8845x + 1.3572
For the number of students that are absent 10 days after the outbreak, we have:
y = -0.4908(10)² + 5.8845(10) + 1.3572
y = -0.4908(100) + 58.845 + 1.3572
y = -49.08 + 58.845 + 1.3572
y = 11.12 ≈ 11 students.
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since 1900, the percentage of americans over the age of 65 has while the percentage of americans under the age of 18 has .
The percentage of Americans over the age of 65 has increased while the percentage of Americans under the age of 18 has decreased .
What happened to the population in America?The United Stats of America is one of the countries that is known to have a very good health care system. This implies that, there has ben a very huge improvement in the health care of the population of the United States.
As a result of this improvement in the healthcare of the people of the United States, the percentage of Americans over the age of 65 has increased while the percentage of Americans under the age of 18 has decreased .
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The screenshot has the question If you help within next Hour I will make you brainlest and get 50 points
Answer:
2,689
Step-by-step explanation:
you got the first two right it's the last that is wrong
you need to do 2,407-(-282) the two negative make it a positive so add them together and you get 2,689.