Answer:
D&E
Step-by-step explanation:
Not sure
Answer: D and E
Step-by-step explanation: 10^7 is equal to 10 multiplied by itself 7 times and that equals 10,000,000
Luke is 5 years older than twice his younger brother Thomas. If Luke is 19, how old is Thomas?
Answer:
Thomas is 14 because 19-5=14
Step-by-step explanation:
brailiest please
Answer:
7
Step-by-step explanation:
19-5=14
14/2=7
please help solve problem (picture)
The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %
What is logarithmic function ?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
According to the given information
Consider the logarithmic function:
\(f(x)=-1311+306 \ln x\)
Here x is the number of years since 1990 and f(x) is the outpatient surgery as the percent of total surgeries.
In the year 1996:
\(& x=96 \\\)
\(& f(96)=-1311+306 \ln (96) \\\)
\(& =-1311+1396.69 \\\)
\(& =85.69 \\\)
\(& \approx 86 \\\)
Thus,
The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %
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4. Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping. Actuary Toby follows the same procedure with high-risk policies. Each low-risk policy has a 10% probability of having a claim. Each high-risk policy has a 20% probability of having a claim. The claim statuses of polices are mutually independent. Calculate the probability that Actuary Rahul examines fewer policies than Actuary Toby.
Answer:
Step-by-step explanation:
for n ∈ N
Since Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping.
∴ the probability that Actuary Rahul examines exactly n policies
\((0.9)^{n-1}.(0.1)---(1)\)
the probability that Actuary Toby examines more than exactly n policies
\((0.8)^n---(2)\)
Given that policies are actually independent
∴ the probability that the event (1) and (2) happens simultaneously is
\((0.9)^{n-1}*(0.1)*(0.8)^n\)
∴ the probability that Actuary Rahul examines fewer policies than Actuary Toby
\(\sum ^\infty _{n=1} (0.9)^{n-1}*(0.1)*(0.8)^n\\\\=(\frac{0.1}{0.9} \sum ^\infty _{n=1}(0.72)^n\\\\=\frac{1}{9} (\frac{0.72}{0.28} )\\\\=\frac{2}{7} \\\\=0.2857\)
the probability that Actuary Rahul examines fewer policies than Actuary Toby is 0.2857Please answer ive been searching for answers will give brainliest and 5 star pleaseeeee
[-9, 7]
Step-by-step explanation:The domain describes the x-values contained in a graph.
Finding the Domain
As stated above, the domain shows the x-values that are covered by a function. The x-values are listed on the horizontal axis. Starting on the left, the x-values range from -9 to 7. Additionally, the circles on points -9 and 7 are both closed. This means that both of the values are included within the domain.
Interval Notation
There are different ways to write a domain. One way is interval notation. In this notation, the minimum x-value is listed, then the maximum x-value is listed. If the min and max values are included, then surround the values with brackets. If they are not included, then use parentheses.
In the graph above, the minimum domain value is -9 and the max is 7. Since both are included, the interval notation for the domain is [-9, 7].
Which type of function is shown in the table below ?
X Y
0 1
1 4
2 16
3 64
Answer:
The answer is linear.
Step-by-step explanation:
The x int is being added by 1 while the y int is subtracting 1
Solve:
|11x + 10| = 22
A. x= -11/32 or x= 11/12
B. x= -32/11 or x= 12/11
C. x= -10/11 or x= 10/11
D. x= 12/11 or x= 32/11
Answer:
D. x=12/11 or x=32/11.
Answer:
D) x=12/11 or x=32/11.
Step-by-step explanation:
because i just know math
algebra 2
Can you help me pls
Answer:
ln25 = 3.219
ln50 = 3.912
ln22.3 = 3.105
lne^3 = 3lne = 3
ln0.45 = -0.799
Step-by-step explanation:
Calculator
Graph your salary and
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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Find the sum of the arithmetic sequence 1, 3, 5, 7, … , 99.
The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given sequence is 1, 3, 5, 7, … , 99.
It is a arithmetic sequence, the difference between two consecutive terms will be same
d=3-1=2
first term a=1
l=last term =99
We need to find 99 is which term in the sequence
Aₙ = a + ( n - 1 ) d
99=1+(n-1)2
99=1+2n-2
99=2n-1
100=2n
Divide both sides by 2
50=n
Now we need to find the sum of 50 terms
Sₙ=n/2(l+d)
=50/2(99+2)
=25(101)
=2525
Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525
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Evaluate the function. F(x) =5x-3 when f (2)
Answer:
f(2) = 7
Step-by-step explanation:
Given information,
→ f(x) = 5x - 3
→ f(2) = ?
Now the value of f(2) will be,
→ f(x) = 5x - 3
→ f(2) = 5(2) - 3
→ f(2) = 10 - 3
→ [ f(2) = 7 ]
Hence, the value of f(2) is 7.
if a brownie recipe yields for 36 brownies, what scaling factor is needed to scale the recipe to yield 369 brownies?
The scale factor would be found by dividing 369 brownies by 36 brownies:
369/36 = 10.25
The scale factor is 10.25
What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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AB is a radius of the circle. The circumference of the circle is 119.56. Find the
length of AB, rounding to the nearest tenth.
B
A
Answer:
19.0285
Step-by-step explanation:
For this, we have to work backwards.
First, the equation for the circumference of a circle is:
\(2\pi r\)
We already know the circumference, so we can solve for r:
\(119.56=2\pi r\)
divide both sides by 2
\(59.78=\pi r\)
divide both sides by pi
\(19.0285...=r\)
So, depending on the answer choices, the answer is 19.0285 rounded to the according decimal place.
Hope this helps! :)
Referring to the figure, what is the slope of the
line? pls quick
Answer:
26) 70
27) 12.86 sec
28) 350 feet
Step-by-step explanation:
26) Given points A(0, 0) and B(16, 1120)
slope m = \(\frac{y_2-y_1}{x_2-x_1}\)
\(=\frac{1120-0}{16-0}\\ \\=\frac{1120}{16}\\ \\=70\)
slope = 70
27) eq of a line is :
y = mx + c
y = 70x + c
Since the line passes through A(0,0) substituting the points in the equation,
0 = 70(0) + c
⇒ c = 0
eq of line: y = 70x
given distance is 900 ft
y = distance and x = time
⇒ y = 900
sun in eq,
900 = 70x
⇒ x = 900/70
⇒ x = 12.86
28) time is 5 sec
⇒ x = 5
sub in eq
y = 70(5)
⇒ y = 350
round 4,719,429 to the nearest 10,000 pls
Answer:
4,720,000
Step-by-step explanation:
Answer:
4,720,000
Step-by-step explanation:
you want to round to the nearest 10,000 so in 4,719,429 you look at the nine. If that number is bigger than 5 you round up. 9 is bigger than 5, so it rounds to 4,720,000
kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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What is the equation of the parabola with focus (4, 1) and directrix y = 2?
After answering the given query, we can state that the parabola equation expands upwards, and the apex is (4, 4.5).
What is equation?Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.
P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.
As a result, the parabola's equation is:
\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)
The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)
The problem can also be expressed in vertex form by filling in the cube as follows:
\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)
Therefore, the parabola expands upwards, and the apex is (4, 4.5).
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Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)
Answer:
No, it does not.
Step-by-step explanation:
It's a linear function, with a slope of -3 (down 3 for every new X as you move right)
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Suppose you are depositing an amount today in an account that earns 5% interest, compounded annually. If your goal is to have $5000 in the account at the end of six years, how much must you deposit in the account today?
Answer:
If you walk into a bank and open up a savings account you will earn interest ... include the amount of money deposited called the principal, the annual interest rate ...
Answer:
3731.08
Step-by-step explanation:
let x= the present value (or principle)
\(5000=x(1.05)^6\\\frac{5000}{1.05^6}=x\\x=3731.076983\)
Solve the equation for m. Show your work -40 - 6m + 1 = - 2
Answer:
\(\bold{m \ = \ \frac{-37}{6} \ Or \ -6.16666666667}\)
Explanation:
-40 - 6m + 1 = - 2
Simplify Both Sides Of The Equation−40 − 6m + 1 = −2
−40 + −6m + 1 = −2
(−6m) + (−40 + 1) = −2 (Combine Like Terms)
−6m + −39 = −2
= −6m − 39 = −2
Add 39 To Both Sides−6m − 39 + 39 = −2 + 39
−6m = 37
Divide Both Sides By -6-6m / -6 = 37 / -6
Simplify\(\bold{m \ = \ \frac{-37}{6} \ Or \ -6.16666666667}\)
- PNW
Answer:
\(\boxed{\sf \boxed{\sf m=-\frac{37}{6}}\:or\:\boxed{\sf m=-6.166} }\)
Step-by-step explanation:
\(\sf -40 - 6m + 1 = - 2\)
➩ Combine like terms:
\(\sf -6m-40+1=-2\)
➩ Add numbers:
\(\sf -6m-39=-2\)
➩ Add 39 from both sides:
\(\sf -6m-39+39=-2+39\)
\(\sf -6m=37\)
➩ Divide both sides by -6:
\(\sf \cfrac{-6m}{-6}=\cfrac{37}{-6}\)
\(\sf m=-\cfrac{37}{6}\)
_____________________________________
3)
Blair expects an increase of 3% in her current annual
salary of $42,000. What would her new annual salary
be?
Answer:
$43,260
Step-by-step explanation:
You have the 3% annual income, which you can convert to a decimal. This gives:
42000 * 1.03
42000 represents Blair's initial income, and 0.03 represents the 3% increase.
I chose 1.03 because I don't have to subtract 97% and add it to 42000.
Answer this for me please
The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Calculating the function valuesGiven that
f(x) = 2x^2 - 2
g(x) = 4x/(x - 1)
So, we have
f(10) = 2(10)^2 - 2 = 198
g(-6) = 4(-6)/(-6 - 1) = 24/7
The range of h(x)Here, we have
h(x) = (7x - 4)/5x
Where
1 < x < 5
So, we have
h(1) = (7(1) - 4)/5(1) = 3/5
h(5) = (7(5) - 4)/5(5) = 31/25
So the range is 3/5 < h(x) < 31/25
The inverse of p(x)Here, we have
P(x) = (5x - 1)/(3 - x)
So, we have
x = (5y - 1)/(3 - y)
This gives
3x - xy = 5y - 1
So, we have
y(5 + x) = -1 - 3x
This gives
y = -(1 + 3x)/(5 + x)
So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
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Look at the two equations: ( look at picture is you don't understand)
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
A.) In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
B.) In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
C.) The process is exactly the same for solving the equation and solving the inequality.
D.)The process for solving the equation is entirely different from solving the inequality.
Answer:
I believe it's A) "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality."
Step-by-step explanation:
I say this because that's essentially the first step when solving both an equation and inequality.
(In case you were wondering, the next step would be to divide -3 on both sides, in order to get x by its self.)
Hope this helps :)
Calvin is making a special cocktail for 124 guests. Each cocktail calls for 0.5 fluid ounces of Becherovka, which is purchased in 750-milliliter bottles. Due to the nature of the event, Calvin expects that each guest will have approximately 6 cocktails. If Becherovka comes in 12 bottles to a case, and each case costs
$189.43, what is the beverage cost per guest?
9514 1404 393
Answer:
$1.87 per guest for quantity used
$1.91 per guest for whole bottles used
$3.06 per guest for whole cases used
Step-by-step explanation:
The cost of the beverage is ...
($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL
Each guest consumes 6 cocktails of 0.5 floz each, so ...
(6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest
Then the cost per guest is ...
($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest
The cost per guest for the amount used is about $1.87.
__
The total amount of drink used for all guests is ...
124(88.7205 mL/guest) ≈ 11,001.4 mL
At 750 mL per bottle, this is ...
(11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles
If you're constrained to pay for 15 bottles, then the cost per guest is ...
$189.43(15/12)/124 = $1.91 per guest
__
At 12 bottles per case, this is ...
(14.7 bottles)/(12 bottles/case) ≈ 1.2 cases
If you're constrained to pay for 2 cases, then the cost per guest is ...
$189.43(2)/124 = $3.06 per guest
How is this solved a history class comprised of 3 female and 10 male students , if the instructor of the class randomly chooses 9 students from class for an oral exam what is probation of 2 female and 7 make students selected
Answer:
0.306
Step-by-step explanation:
Using binomial probability,
\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. Infinitely Many Solutions
B. No Solutions
Answer:
A) Infinitely Many Solutions.
Step-by-step explanation:
y=2/3x+3
2x-3y=-9
---------------
2x-3(2/3x+3)=-9
2x-6/3x-9=-9
2x-2x-9=-9
-9=-9
The question is in the pic pls help
Answer:
pink
Step-by-step explanation:
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Answer:
sigma should be used
Step-by-step explanation:
Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.
The above given is for sample of 27 size.
For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.
But once population std deviation is given, we use only that as that would be more reliable.
So here we can use population std deviation 1.4 only.
If population std deviation is used we can use normality and do Z test
Hope this helps ;)