Why do London taxi drivers have larger hippocampuses?
Answer:
London taxi drivers have larger hippocampuses because their job requires them to memorize complicated routes, landmarks, and streets. The hippocampus is the part of the brain responsible for spatial navigation and memory, so the larger hippocampus of London taxi drivers is likely due to the increased use of this area of the brain as a result of their job.
You deposit $100 in an account with an APR of 8% and continuous compounding. How much will you have after 10 years?
Answer:
$315.89
Step-by-step explanation:
I = p(1+r/100)^t
= $215.89
Total = P + I
= $315.89
For the constant function v(x)=1, which statement describes the additive and multiplicative inverses?
The additive and multiplicative inverse of v{x} are -1 and 1 respectively.
What is a function?An function in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). Example -
y = f{x} = ax + b
Given is a constant function -
v{x} = 1
We can write the additive inverse of v{x} as -
a⁻¹ (v{x}) = - v{x} = - 1
a⁻¹ (v{x}) = - 1 ..... { 1 }
and
We can write the multiplicative inverse of v{x} as -
m⁻¹ (v{x}) = 1/v{x} = 1/1 = 1
m⁻¹ (v{x}) = 1 ...... { 2 }
Therefore, the additive and multiplicative inverse of v{x} are -1 and 1 respectively.
To solve more questions on functions, visit the link below -
brainly.com/question/26182329
#SPJ1
how long is 90 minutes
90 minutes is about 5400 seconds long or 1.5 hours long.
What is time ?Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.
The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour. Because to leap seconds, a minute occasionally has 61 seconds in the UTC time zone. The minute is acceptable for use with SI units even though it is not a SI unit. Minutes are represented by the SI unit min.
Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24 of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.
The second is the International System of Units' unit of time, previously defined as 1/86400 of a day. This element came from the split of a day into 24 hours, 60 minutes, and then 60 seconds each.
So , 90 minutes can be writen as
90 * 60 = 5400 seconds
90 minutes can also be written as
90/60 = 1.5 hrs
To learn more about Time refer to :
https://brainly.com/question/11649164
#SPJ4
If the area ratio is 256:361, then the perimeter ratio is
Answer:
16:19
Step-by-step explanation:
Write 5.2288888… repeating as a fraction
What is an example of a left skewed distribution?
Age at natural death is an example of a real-world variable with a left-skewed distribution (heart disease, cancer, etc.). Most of these deaths occur in older people and a minority in younger people.
What are some examples of right-skewed distributions?Salary is an example of a real-world variable with a right-skewed distribution. If there are a few outliers (CEOs, professional athletes, etc.), most individuals have incomes in the low/mid range, with a wide range of higher numbers (a long "tail"). A long left tail indicates that the distribution is skewed to the left. A negatively skewed distribution is similar to a left skewed distribution. This is because the number line has a long tail in the negative direction. The average is also to the left of the peak. The left side of a left-skewed distribution is longer than the right side. That is, a left-skewed distribution has a long tail on the left.
For more information on skewed distributions, see:
Brainly.com/question/12320081
#SPJ4
the point at which the medians intersect in a triangle
Convert the following to exponential form 5⋅5⋅5⋅5⋅5⋅5⋅5⋅5
Answer:
[tex]5^{8}[/tex]
Step-by-step explanation:
5 times itself 5 times is 5 to the eighth power
When the drill reaches a depth of -915 feet or lower, scientists have to add a special liquid to prevent
5
the hole from freezing over. If the research team drills – 50 feet per day, how many days will it take
6
to reach a depth of -915 feet?
V
What is a reasonable estimate for the number of days?
200 days
50 days
20 days
5 days
_915 -1,000 -50% -50
-1,000 = (-50) = ?
Answer: 20
Step-by-step explanation:
You divide -915 by -50 and get 18.3 days but you round up to 20 hope it helps
Find the specified nth term in the expansion of the binomial. (x - 5)^6, n = 7
The seventh term of the given binomial expansion is; 15625
How to solve Binomial Expansion Theorem?The binomial theorem states the expansion of (a + b)ⁿ as the sum of
n + 1 terms given by the binomial expansion formula that has the binomial coefficient as (n, k) = n!/((n - k)!(k!))
We are looking at the expression;
(x - 5)⁶
The objective is to evaluate the 7th term of the expansion.
Using the formula;
t_r + 1 = (n, r) * a^(n - r) * b^(r)
we can calculate the 7th term for n = 6, r = 6, a = x , b = −5.
t₇ = (6, 6) * x⁶⁻⁶ * (-5)⁶
t₇ = 15625
Read more about Binomial Expansion Theorem at; https://brainly.com/question/13602562
#SPJ1
function g can be thought of as a translated (shifted) version of f(x)= x^2
Answer:
Step-by-step explanation:
f(g) = fa(g-x)+ b
x2 at origin (0,0) looks like a U porabola
in the above equation you can shift the graph up and down based on the +b. So if the equation was, for example
F(g) = [tex]x^{2}[/tex] - 3 + 4
you would move the U shape with the origin at (0,0) up 4 and to the right 3.
which best describes the error in solving the system of linear equations.
The mistake is in the second step, and the correct option is the second one (counting from the top).
The solution of the system is (2, 1).
Where is the mistake in the solution?
Here someone wants to solve the system of equations below:
2x + y = 5
3x - 2y = 4
On the first step, they isolate y on the first equation to get:
y = -2x + 5
Then they substitute that on the same equation, they get:
2x + (-2x + 5) = 5
5 = 5
That is trivial, we are replacing one equation into itself.
The substitution method needs to replace that on the other equation, so there is the mistake, then the correct option is the second.
The actual solution is given by:
3x - 2*(-2x + 5) = 4
3x + 4x - 10 = 4
7x = 4 + 10
x = 14/7 = 2
and the y-value is:
y = -2x + 5
y = -2*2 + 5 = 1
The solution is (2, 1).
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
without integrating, show that (a) l ax a p a [sinh ] = , ; p a - > 2 2 (b) l ax p p a [cosh ] = > , .
l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.
(a) l ax a p a [sinh ] = , ; p a - > 2 2
Formula: a ∫sinh(ax)dx = cosh (ax) + t
Let ax = t
Then, a∫sinh(ax)dx = a∫sinh (t) dt
By integrating,
a∫sinh (t) dt = cosh (t) + c
Substituting ax = t
a∫sinh(ax)dx = cosh (ax) + c
Rearranging for a,
l ax a p a [sinh ] = , ; p a - > 2
(b) l ax p p a [cosh ] = > , .
a ∫cosh(ax)dx = sinh (ax) + c
Let ax = t
Then, a∫cosh(ax)dx = a∫cosh (t) dt
By integrating,
a∫cosh (t) dt = sinh (t) + c
Substituting ax = t
a∫cosh(ax)dx = sinh (ax) + c
Rearranging for a,
l ax p p a [cosh ] = > , .
Thus it is shown that l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.
Learn more about integral here:
https://brainly.com/question/18125359
#SPJ4
ABC i an iocele right angled triangle. Auming AB=BC=x, find the value of each of the following trigonometric ratio:
1. In 45 degree
The value of a 45 degree angle in an isosceles right angled triangle is: 1
In an isosceles right angled triangle, where AB = BC = x, the sides AB and BC form the hypotenuse, and the remaining side AC forms one of the legs.
For the 45 degree angle (let's call it angle A), the sine function can be used to find the ratio of the opposite side to the hypotenuse:
sin(A) = opposite side / hypotenuse = AC / AB = AC / xSince the triangle is isosceles, AC = AB = x, therefore:
sin(A) = x / x = 1So the sine of a 45 degree angle in an isosceles right angled triangle is 1.
Note: The cosine and tangent of 45 degrees can also be found using the other trigonometric ratios, but since only sine was requested, I only provided the sine value.
Complete Question:
"ABC is an isosceles right angled triangle. Assuming AB = BC = x, find the value of each of the following trigonometric ratios:
At an angle of 45 degrees."To know more about trigonometric ratios, click on the link below:
brainly.com/question/25122825
#SPJ4
PLEASE HELP ME! EMERGRENCY!
The simplest form is -1/2log(9/2).
What is integration?
Integration is a strategy for combining or joining the parts to get at the total. It is a form of differentiation in reverse where we break down functions into their component elements.
Here, we have
Given: ∫⁹₂ 4dx/(9-8x)
We have to find the simplest form in the logarithmic term.
= ∫⁹₂ 4dx/(9-8x)
We let t = (9-8x)
Now, we differentiate w.r.t x and we get
dt = -8dx
dx = -dt/8
Now we put the value of dx in the given equation and we get
= ∫⁹₂ 4(-dt/8)/t
= ∫⁹₂ -1/2t dt
= -1/2[logt]⁹₂
= -1/2[log9 - log2]
= -1/2log(9/2)
Hence, the simplest form is -1/2log(9/2).
To learn more about the integration from the given link
https://brainly.com/question/20156869
#SPJ1
Drew’s goal was to earn $150 during a four-week period in the summer.
A. The first week, Drew earned a 50% of his goal amount. What was the total amount of money Drew earned the first week? Show or explain your answer.
B. The second week, Drew earned 50% of the part of his goal amount that he had left to earn after the first week. What was the total amount of money that Drew earned the second week?
C. The third week, Drew earned 50% of the part of his goal amount that he had left to earn after the second week. What was the total amount of money that Drew earned the third week?
D. The fourth week, Drew earned exactly enough money to reach his goal amount. What percent of Drew’s original goal amount did he earn in the fourth week?
A. Using percentages, if Drew earned 50% of $150 in the first week, the total amount earned is $75.
B. If Drew earned 50% of $75 in the second week, the total amount earned is $37.50.
C. If Drew earned 50% of $37.50 in the third week, the total amount earned is $18.75.
D. The percentage Drew earned in the fourth week is 12.5%.
What is the percentage?The percentage refers to a relative size or ratio of one quantity compared to another larger quantity.
The percentage is a fractional value that shows the quotient of a division operation between the numerator and the denominator, which is then multiplied by 100.
A) The total goal for Drew to earn in four weeks = $150
The percentage earned in the first week = 50%
50% of $150 = $75.
B) The remaining part of the goal to be achieved after the first week = $75 ($150 - $75)
The percentage earned in the first week of the remainder = 50%
50% of $75 = $37.50
C) The remaining part of the goal after the second week = $37.50
The percentage of earnings in the third week = 50% of $37.50
= $18.75
D) Total earnings from week 1 to week 3 = $131.25 ($75 + $37.50 + $18.75)
$131.25/$150 x 100 = 87.5%
Remaining percentage = 12.5% (100 - 87.5)
Learn more about percentages at https://brainly.com/question/24877689
#SPJ1
which equation is equivalent to L^m=n?
Answer:
m=log(l)n. is the equation equivalent.
The number of defectives in 10 different samples of 100 observations each is the following: 1, 2, 1, 0, 2, 3, 1, 4, 2, 1. What is the estimate of the population proportion of defectives? A. . 017 B. . 17 C. . 016 D. . 16 18
The estimate of the population proportion of defective in 10 different samples of 100 observations is A) 0.017
The estimate of the population proportion of defectives can be calculated as the sum of the number of defectives in all the samples divided by the total number of observations.
In this case, the number of defectives is 1 + 2 + 1 + 0 + 2 + 3 + 1 + 4 + 2 + 1 = 17, and the total number of observations is 10 * 100 = 1000.
Therefore, the estimate of the population proportion of defectives is 17/1000 = 0.017.
So, the answer is A. 0.017.
Learn more about Proportion of Defective here: https://brainly.com/question/15902628
#SPJ4
For the factored expression you said distributive property to write in equivalent equation:
9(7a + 6b)
Answer:
63a + 54b
Step-by-step explanation:
9 x 7 = 63
9 x 6 = 54
How do exponential functions differ from regular functions? In exponential functions the variable is: a. always negative c. representing the power b. representing the base d. always t Please select the best answer from the choices provided A B C D
In exponential functions, the variable is that which is in the exponent and whose base is always greater than zero and different from one.
What is exponential Function?An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.
We know that a variable in an exponential function is one whose exponent is always larger than zero and whose base is not one.
These limitations are required since 1 increased to any number equals 1. As a result, we would be faced with a regular function rather than an exponential one.
Additionally, because some exponents would result in the function not being defined, the basis of the exponential function cannot be negative or equal to zero.
Learn more about exponential function here:
https://brainly.com/question/14355665
#SPJ1
Niu has decorated
�
xx cards. He started with
24
2424 stickers, and he used
4
44 stickers per card.
The value of expression to represent stickers Niu has left is,
⇒ 24 - 4x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Niu has decorated x cards.
He started with 24 stickers, and he used 4 stickers per card.
Now, Number of used stickers in x cards = 4x
Hence, The value of expression to represent stickers Niu has left is,
⇒ 24 - 4x
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
if f and g intersect midway between x = a and x = b then
The intersection of two functions f and g occurring midway between x = a and x = b can be calculated using the following formula: (f(x) - g(x)) = 0.
Let f and g be two functions with the domain (a,b). For f and g to intersect midway between x = a and x = b, the x-coordinate of the intersection point must be (a+b)/2. Therefore, the equation to solve is f(x) = g(x) = (a+b)/2. To solve this equation, we must first find the value of f((a+b)/2) and g((a+b)/2). Then, equate these values to each other, and solve for the variable. For example, if f(x) = x2+2x+4 and g(x) = x+7, the equation to solve is (a+b)/2 + 7 = (a+b)2/4 + 2(a+b)/2 + 4. Simplifying this equation, we get a2 - 2b2 + 2ab + 7a - 7b + 11 = 0. This equation can then be solved using the quadratic formula to find the value of a and b.
Learn more about intersection here:
https://brainly.com/question/14217061
#SPJ4
Complete question:
Given two functions f and g, and an interval between x = a and x = b, where is the point of intersection between f and g?
I am stuck in a confusion loop, please help!
The probability that the selected ride will be closed because of mechanical is given as follows:
D. 0.675.
How to calculate a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
In this problem, the probabilities are given as percentages, which make the calculations easier.
The percentages associated with a closed ride are given as follows:
90% of 75%. (icy weather).8% of 25% (non-icy weather).Hence the probability is given as follows:
p = 0.9 x 0.75 + 0.08 x 0.25
p = 0.675.
More can be learned about probabilities at https://brainly.com/question/24756209
#SPJ1
what are ALL the MISSING factors??
40÷______=0.04 0.07x____=700 _____x0.75=75 24÷______=2.4 160÷______=0.016
All the missing factors are,
⇒ 40 ÷ 1000 = 0.04
⇒ 0.07 × 10,000 = 700
⇒ 100 × 0.75 = 75
⇒ 24 ÷ 10 = 2.4
⇒ 160 ÷ 10,000 = 0.016
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, We can solve as;
⇒ 40 ÷ x = 0.04
⇒ 40 / x = 0.04
⇒ x = 40 / 0.04
⇒ x = 1,000
⇒ 0.07 × x = 700
⇒ x = 700 / 0.07
⇒ x = 10,000
⇒ x × 0.75 = 75
⇒ x = 75 / 0.75
⇒ x = 100
⇒ 24 ÷ x = 2.4
⇒ 24 / 2.4 = x
⇒ x = 10
⇒ 160 ÷ x = 0.016
⇒ 160 / 0.016 = x
⇒ x = 10,000
Thus, All the missing factors are,
⇒ 40 ÷ 1000 = 0.04
⇒ 0.07 × 10,000 = 700
⇒ 100 × 0.75 = 75
⇒ 24 ÷ 10 = 2.4
⇒ 160 ÷ 10,000 = 0.016
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ1
Thirty students were surveyed about the number of siblings they have. Their results were recorded and placed on a card face down.
Outcome Frequency
1 6
2 12
3 9
4 or more 3
Determine P(2) when picking a random card.
40%
60%
70%
90%
Question 13 (Essay Worth 12 points)
The probability of 2 being the outcome when picking a random card is; P(2) = 40%
How to find the probability of selection?The outcomes of the results on the cards are either, 1, 2, 3 or 4 or more.
Now, the total possible outcome will be gotten by adding the frequencies of occurRence to get;
Total Outcome = 6 + 12 + 9 + 3
= 30
Now, the frequency of occurrence of 2 out of the total outcome is 12. Thus;
Probability of 2 being the outcome is;
P(2) = 12/30 = 0.4
Expressing in percentage gives 40%
Read more about probability of selection at; https://brainly.com/question/251701
#SPJ1
Please help needed asap!!
Answer:
Given that `x=10`, we can find the value of `a` and `b` by substituting the value of `x` into the given expressions for `a` and `b`.
For `a`, we have: `a = 5x^2/2`. Substituting `x=10`, we get: `a = 5(10)^2/2 = 250`.
For `b`, we have: `b = 2x^2(x-5)/10x`. Substituting `x=10`, we get: `b = 2(10)^2(10-5)/10(10) = 100`.
Therefore, when `x=10`, the value of `a` is 250 and the value of `b` is 100.
MARK AS BRAINLIEST!!!
The common ratio of AP is 3,given that the 5th is greater than the first term by 400,the 5th term of the gp
The 5th term of the geometric progression is a₅ = 405
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the 5th term of the geometric progression be a₅
Now , the common ratio of the GP is r = 3
And , a₅ = a + 400 be equation (1)
On simplifying the equation , we get
a₅ = ar⁴
Substituting the value of a₅ in the equation , we get
ar⁴ = a + 400
when r = 3
a ( 3 )⁴ = a + 400
81a = a + 400
Subtracting a on both sides of the equation , we get
80a = 400
Divide by 80 on both sides of the equation , we get
a = 5
Now , the 5th term of the GP is a₅ = ar⁴
On simplifying the equation , we get
a₅ = 5 ( 3 )⁴
a₅ = 5 x 81
a₅ = 405
Hence , the 5th term of the GP is 405
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ1
true or false. degrees of freedom are a feature of statistics when we are analyzing a sample, rather than the population.
The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
The degrees of freedom (df) refers to the number of independent observations in a sample that can be used to make inferences about a population. The concept of degrees of freedom is used in many statistical methods, including t-tests, ANOVA, and regression analysis.
In simple terms, degrees of freedom can be thought of as the number of data points in a sample that are "free" to vary in order to estimate a population parameter. For example, in a sample of two measurements, only one measurement is "free" to vary since the other measurement is used to calculate the mean. Hence, the degrees of freedom would be 1.
It's important to note that when analyzing a population, there are no degrees of freedom since all of the observations are considered independent and can be used to estimate the population parameters. In contrast, when working with a sample, the degrees of freedom are reduced by the number of constraints that are imposed on the sample in order to make inferences about the population.
In summary, the degrees of freedom are a feature of statistics that reflect the number of independent observations in a sample that can be used to make inferences about the population.
Therefore, The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
To learn more about degrees of freedom,
Visit; brainly.com/question/16254305
#SPJ4
The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
The degrees of freedom (df) refers to the number of independent observations in a sample that can be used to make inferences about a population. The concept of degrees of freedom is used in many statistical methods, including t-tests, ANOVA, and regression analysis.
In simple terms, degrees of freedom can be thought of as the number of data points in a sample that are "free" to vary in order to estimate a population parameter. For example, in a sample of two measurements, only one measurement is "free" to vary since the other measurement is used to calculate the mean. Hence, the degrees of freedom would be 1.
It's important to note that when analyzing a population, there are no degrees of freedom since all of the observations are considered independent and can be used to estimate the population parameters. In contrast, when working with a sample, the degrees of freedom are reduced by the number of constraints that are imposed on the sample in order to make inferences about the population.
In summary, the degrees of freedom are a feature of statistics that reflect the number of independent observations in a sample that can be used to make inferences about the population.
Therefore, The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
To learn more about degrees of freedom,
brainly.com/question/16254305
#SPJ4
An insurance agent earns a base salary of $32,000, and a commission of 3% of his sales. He also receives an additional fee of $16. 00 for each home policy he sells. The agent has sold a total of $89,000 and 8 home policies this month. Find the commission and fees he has earned
To find the commission and fees the insurance agent has earned, we need to first calculate the 3% commission from the $89,000 in sales. This is equal to $2,670. Next, we need to calculate the additional fees from the 8 home policies sold. This is equal to $128. Thus, the total commission and fees the agent has earned this month is $2,798 ($2,670 + $128).
This commission and fees amount is in addition to the base salary of $32,000. Thus, the total earned this month by the insurance agent is $34,798 ($32,000 + $2,798). This figure is obtained by adding the base salary and the commission and fees. Note that this figure does not include any bonuses or other incentives that the agent may receive.
To learn more about commission:
https://brainly.com/question/26283663
#SPJ4