The given statement "The standard error of the sampling distribution of the sample proportion, when the sample size n = 50 and the population proportion p = 0.25, is 0.00375" is false because the correct calculation of standard error using the formula SE = sqrt((p*(1-p))/n) would give SE = sqrt((0.25*(1-0.25))/50) = 0.071.
The standard error is a measure of the variability of sample means or proportions that we would obtain if we took repeated samples of the same size from a population. It is affected by both the sample size and the population proportion.
In this case, the sample size is relatively small at 50, which means that the standard error would be larger than if we had a larger sample size. The population proportion of 0.25 is also important as it contributes to the overall variability in the sample proportion.
Therefore, it is important to use the correct formula to calculate the standard error to obtain accurate results.
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Question 13IT, pre calc, I am at work so please answer so I can review it later tonight, thanks
EXPLANATION
Dividing the numerator and denominator by the highest denominator power (x^2):
\(=\lim _{x\to\: -\infty\: }\mleft(\frac{\frac{1}{x}+\frac{1}{x^2}}{1-\frac{2}{x}}\mright)\)Applying the following property:
\(\lim _{x\to a}\mleft[\frac{f\left(x\right)}{g\left(x\right)}\mright]=\frac{\lim_{x\to a}f\left(x\right)}{\lim_{x\to a}g\left(x\right)},\: \quad \lim _{x\to a}g\mleft(x\mright)\ne0\)\(With\: the\: exception\: of\: indeterminate\: form\)\(=\frac{\lim_{x\to\:-\infty\:}\left(\frac{1}{x}+\frac{1}{x^2}\right)}{\lim_{x\to\:-\infty\:}\left(1-\frac{2}{x}\right)}\)\(=\frac{\lim_{x\to\: -\infty\: }(\frac{1}{x}+\frac{1}{x^2})}{\lim_{x\to\: -\infty\: }(1-\frac{2}{x})}=\frac{0}{1}=0\)Now, we need to apply the same steps to x-> ∞
\(\mathrm{Apply\: the\: following\: algebraic\: property}\colon\quad a+b=a\mleft(1+\frac{b}{a}\mright)\)\(\frac{x+1}{x^2-2x}=\frac{x\left(1+\frac{1}{x}\right)}{x^2\left(1-\frac{2}{x}\right)}\)\(=\lim _{x\to\infty\: }\mleft(\frac{x\left(1+\frac{1}{x}\right)}{x^2\left(1-\frac{2}{x}\right)}\mright)\)Simplifying:
\(=\lim _{x\to\infty\: }\mleft(\frac{1+\frac{1}{x}}{-2+x}\mright)\)\(\lim _{x\to a}\mleft[\frac{f\left(x\right)}{g\left(x\right)}\mright]=\frac{\lim_{x\to a}f\left(x\right)}{\lim_{x\to a}g\left(x\right)},\: \quad \lim _{x\to a}g\mleft(x\mright)\ne0\)\(\mathrm{With\: the\: exception\: of\: indeterminate\: form}\)\(=\frac{\lim_{x\to\infty\:}\left(1+\frac{1}{x}\right)}{\lim_{x\to\infty\:}\left(-2+x\right)}\)\(=\frac{1}{\infty\:}\)\(\mathrm{Apply\: Infinity\: Property\colon}\: \frac{c}{\infty}=0\)\(=0\)In conclusion, the appropiate end behavior is as follows:
\(\lim _{x\to-\infty}f(x)=0;\text{ }lim_{x\to\infty}f(x)=0\)suppose trains arrive at a busy train station at a rate of 1 every 4.64 minutes. what is the probability that the next train arrives 4.92 minutes or more from now? round your answer to 4 decimal places.
We can round the complementary probability to 4 decimal places. Since trains arrive at a rate of 1 every 4.64 minutes, the average time between two consecutive trains is 4.64 minutes.
The rate at which trains arrive at the busy train station is 1 train every 4.64 minutes.
To find the probability that the next train arrives 4.92 minutes or more from now, we need to calculate the complementary probability, which is the probability that the next train arrives within 4.92 minutes from now.
To find this probability, we can subtract the probability of the next train arriving within 4.92 minutes from 1.
Let's calculate the probability of the next train arriving within 4.92 minutes.
Since trains arrive at a rate of 1 every 4.64 minutes, the average time between two consecutive trains is 4.64 minutes.
The probability of the next train arriving within 4.92 minutes is equal to the ratio of 4.92 minutes to the average time between two consecutive trains.
Probability = 4.92 / 4.64
Now, let's calculate the complementary probability:
Complementary probability = 1 - Probability
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Yuvika is very fond of reading books. Once she bought books for Rs.465 and she paid Rs.500 to the bookstore, which expression shows the correct amount of change that she will get back? 1 point..
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Yuvika bought books for Rs.465 and she paid Rs.500 to the bookstore.
To calculate the correct amount of change that she will get back will be:
= Rs 500 - Rs 465
= Rs 35
Write in standard form using integers. (ASAP help)
Is it a, b, c or d?
Answer: D
Step-by-step explanation:
To get rid of denominator in x, multiply everything by 3
3y=2x+21
Move the variables to the left
-2x+3y=21
How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
Given the graph below, which of the following statements is true? On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (negative 5, 6) to (negative 2, 0), the second line has a positive slope and goes from (negative 2, 0) to (2, 2), and the third line has a negative slope going from (2, 2) through (4, negative 2). The graph represents a one-to-one function because every x-value is paired with only one y-value. The graph represents a one-to-one function because it is defined for all x-values. The graph does not represent a one-to-one function because it does not pass through the origin. The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Answer:
The correct option is (D).
Step-by-step explanation:
A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.
That is:
x₁ → y₁
x₂ → y₂
x₃ → y₃
.
.
.
and so on.
Consider the graph.
From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.
So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.
Given :
On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (-5, 6) to (-2, 0).The second line has a positive slope and goes from (-2, 0) to (2, 2).The third line has a negative slope going from (2, 2) through (4, -2).Draw the graph of the three lines in order to determine the function is one-one function or not.
The equation of the line passing through (-5,6) and (-2,0) is given by:
\(\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}\)
\(\dfrac{y-6}{x+5}=\dfrac{-6}{3}\)
\(y-6=-2(x+5)\)
y + 2x + 4 = 0 --- (1)
The equation of the line passing through (-2,0) and (2,2) is given by:
\(\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}\)
2y = x + 2 ---- (2)
The equation of the line passing through (2,2) and (4,-2) is given by:
\(\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}\)
y - 2 = -2(x - 2)
y + 2x = 6 ---- (3)
Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.
So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.
Therefore, the correct option is D).
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Willa rolls a l-6 cube once.
Part A: What is the probability WIlla rolls a number less than 4?
Part B: Willa then rolls the number cube a total of 25 times. The number 2 results 5 times. What type of probability theoretical or experimental, would be used to show the chances of a number 2 resulting on the next roll? Explain how you know.
Answer:
immma send you the link friend me on here
Step-by-step explanation:
A triangular land having area 336 q meter and perimeter 84 meter ha length of an edge 26 meter. Calculate the meaurement of remaining two ide
A triangular land has area 336 q meter, perimeter 84 meter and length of an edge 26 meter. The lenght of the remaining two sides are both 29 meters long.
Let's call the length of the remaining two sides x.
Since the perimeter of the triangle is 84, then the sum of all three sides is 84, so:
x + x + 26 = 84
Therefore, the sum of the remaining two sides is:
2x = 84 - 26 = 58
And the length of each remaining side is:
x = 58 / 2 = 29 meters required lenght of the remaining two sides.
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Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(theta) = 4 sin(theta) − 5 sec(theta) tan(theta) - 2e on the interval (-pi/2,pi/2)
F(theta) =
The most general antiderivative of the function is F(theta) = -4 cos(theta) - 5 sec(theta) - 2 e^theta + C
To find the most general antiderivative of the function f(theta) = 4 sin(theta) − 5 sec(theta) tan(theta) - 2e on the interval (-pi/2, pi/2), we can integrate each term separately.
∫(4 sin(theta) - 5 sec(theta) tan(theta) - 2e) d(theta)
The antiderivative of sin(theta) is -cos(theta), so we have:
= -4 cos(theta) - 5 ∫sec(theta) tan(theta) d(theta) - 2 ∫e d(theta)
Next, we can use a u-substitution for the integral of sec(theta) tan(theta).
Let u = sec(theta), then du = sec(theta) tan(theta) d(theta).
∫sec(theta) tan(theta) d(theta) = ∫du = u + C = sec(theta) + C
Plugging this back into the integral:
= -4 cos(theta) - 5 (sec(theta) + C) - 2 ∫e d(theta)
Since the integral of e is just e^x, the last term becomes:
= -4 cos(theta) - 5 sec(theta) - 5C - 2 e^theta + D
Combining all the terms and simplifying, we get the most general antiderivative:
F(theta) = -4 cos(theta) - 5 sec(theta) - 2 e^theta + C
To check our answer, we can differentiate F(theta) with respect to theta and confirm that it gives us the original function f(theta).
d/d(theta) (-4 cos(theta) - 5 sec(theta) - 2 e^theta + C) = 4 sin(theta) - 5 sec(theta) tan(theta) - 2e
which matches the original function f(theta). Therefore, our antiderivative is correct.
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On Dec. 10, Merchandise is sold for $2,0002/10, n/30 to ABC who sends a remittance on Dec. 26 . What is the amount of remittance? a. 1,800 b. 1,400 c. 1,960 d. 2,000
The amount of the remittance from ABC is $1,960.
The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.
Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.
To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.
In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.
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List these numbers from SMALLEST TO LARGEST
29.94
28.15
27.068
28.08
28.3
Answer:
Step-by-step explanation:
27.068
28.08
28.15
29.94
Find an estimate for the unicity distance (as an integer) for the Vigenere cipher with m= 5. If your calculations yield a decimal you should select the next higher integer. For example, if your calculations yield 3.25, you should select 4 as your answer. a. 5b. 8c. 3d. 10
The correct option among the given choices is (a) 5.
What is unicity distance?The length of ciphertext required to break the cipher with a certain level of confidence is referred to as the unicity distance. The unicity distance for the Vigenere cipher with a key length of m is approximately:
L ≈ m(log26 − logPm)
where Pm is the probability that two random sequences of length m have at least one letter in common, which can be approximated as:
Pm ≈ 1 − (1/26)m
For m = 5, we have:
P5 ≈ 1 − (1/26)^5 ≈ 0.99972
Plugging this into the formula for L, we get:
L ≈ 5(log26 − logP5) ≈ 5(3.401 − 0.0003) ≈ 17
Rounding up to the nearest integer, we get an estimate of 17 for the unicity distance. Therefore, the correct option among the given choices is (a) 5.
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A security car is parked 25 ft from a movie theater. Find at what speed the reflection of the security strobe lights is moving along the wall of the movie theater when the reflection is 30 ft from the car. The strobe lights are rotating with the speed 2 revolutions per second.
Answer:
v=20π ft/s
Step-by-step explanation:
Given:
Distance from the security car to the movie theater, D=25 ft
Distance of the reflection from the car, d=30 ft
Speed of rotation of the strobe lights, 2 rev/s
To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.
We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.
ω=2πf
=> ω=2π(2)
=> ω=4π rad/s
The distance between the security car and the reflection on the wall of the theater is...
r=30-25= 5 ft
The speed of reflection is given as (this is the linear velocity)...
v=ωr
Plug our know values into the equation.
v=ωr
=> v=(4π)(5)
∴ v=20π ft/s
Thus, the problem is solved.
The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.
To solve this problem, we can use the concept of related rates. Let's consider the following variables:
x: Distance between the security car and the movie theater wall
y: Distance between the reflection of the security strobe lights and the security car
θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights
We are given:
x = 25 ft (constant)
y = 30 ft (changing)
θ = 2 revolutions per second (constant)
We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.
Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:
x^2 + y^2 = z^2
Differentiating both sides of the equation with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)
Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.
Plugging in the known values, we have:
2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)
Simplifying the equation, we find:
60(dy/dt) = 120π
Dividing both sides by 60, we get:
dy/dt = 2π ft/s
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9a × 3 + 8a + 4 -11aoptions24a+46a+12
To solve the question:
9a x 3 + 8a + 4 -11a
First we will apply the rule of BODMAS
By applying the rules, we will first multiply before adding or subtracting
27a + 8a + 4 - 11a
Then we re-arrange after multiplying
27a + 8a -11a + 4
we will add all the numbers with "a" variable
24a + 4
use the distributive property to rewrite each algebraic expression 3(x+7) 5(2x+7)
Answer:
3(x+7) --> 3x+21
5(2x+7) --> 10x+35
Step-by-step explanation:
For each one you take the number in front of the parenthesis and multiply it to each number or variable in the parenthesis.
A car travelling at 90/km per hour covers a distance in 2hours 15 min . How far did the car travel
Answer:
the car travelled 202.5 km
Explanation:
as time has 15 minutes, turn it into hours as the speed is given in 90 km per hour--> 15/60 = 0.25 hours
so total time in hours = 2 + 0.25 = 2.25 hours total
Distance = speed * timeDistance = 90 km/hr * 2.25 hours
Distance = 202.5 km
Answer:
202.5 km
Step-by-step explanation:
Speed = Distance ÷ Time
Distance = Speed × Time
Let us solve now.
Distance = 90km/h × ( 2h + 0.25h )
Distance = 90 × 2.25
Distance = 202.5 km
Hope this helps you :-)
Let me know if you have any other questions :-)
It's your birthday and you are going to the mall, but you need money. Your mom gives you at least $50. If x represents the amount of money your mom gives you, write the inequality that describes this situation.
Answer:
0+x=50
Step-by-step explanation:
you started with no money which is 0 and your mom gives you $50 which is represented by x, this could be shown as 0+x and now that you have 50 bucks it would be 0+x=50
Answer:
0+×=50
Step-by-step explanation:
if your mom gives you 50 and you started with 0 then x represents 50.
savanah has 5 dogs and she feeds 6 oz of dog food every day. how many pounds of dog food do they eat each day
Answer:
1.875 lbs
Step-by-step explanation:
You invest $20,000 in the stock market. The stock market then plummets
over the next few weeks. Each day, your investment loses half of its value. How
much will you have invested after 14 days? Write the geometric sequence
formula and show all of your work.
After 14 days, you will have approximately $2.4414 invested in the stock market.
The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:
an = a1 x \(r^{(n-1)\)
Where:
an is the nth term,
a1 is the first term,
r is the common ratio, and
n is the number of terms.
In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.
Substituting the given values into the formula, we have:
a14 = 20000 x\((1/2)^{(14-1)\)
a14 = 20000 x \((1/2)^{13\)
a14 = 20000 x (1/8192)
a14 ≈ 2.4414
Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.
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The amount you will have invested after 14 days is given as follows:
$2.44.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term of the sequence.
The parameters for this problem are given as follows:
\(a_1 = 20000, q = 0.5\)
Hence the amount after 14 days is given as follows:
\(a_{14} = 20000(0.5)^{13}\)
\(a_{14} = 2.44\)
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948008710 divided by 10
(you can get 100 points)
Answer:
\(94,800,871\)
Step-by-step explanation:
Hmmm.... long division. This may look complicated but there is a simple formula to answer this question. Lets work it out!
To first answer a question, we must convert the words into an equation. 948008710 divided by 10 translates to:
\(\frac{948008710}{10}\)
Ah, an easy one! Since the number on the bottom is \(10\), and the last 2 digits on the top is also \(10\), we can take 0 from both sides to get \(94,800,871\)!
I hope you found this useful!
lalo has 1500 minutes per month on his cell phone plan. how many more minutes can he use if he has already talked for 785 minutes Inequality, Solution ,Interpretation
which graph of ordered pais shows a proportional relationship? i need help lol
help pls I need help lol it’s quite easy for rlly smart ppl
Answer:
(2,1) (7,1) (7,5) (2,5)
Step-by-step explanation:
Just line up the dots on the x axis and y axis
Vertexes are the points or "corners" of the shape, and in your case, that square.
I hope this helped :D
given the equation y=kx showen in the graph which value represents k
Answer:
Attach the picture of the graph
Step-by-step explanation:
"6 less than the quotient of a number and 5"
Answer:
\(\frac{n}{5} - 6\)
Step-by-step explanation:
Quotient of a number and 5 means n/5
6 less than n/5 means n/5 - 6
Answer:
the product of a triple a number and 19
Step-by-step explanation:
but i'm not 100% sure so don't quote me
Currently you have two credit cards, h and i. Card h has a balance of $1,186. 44 and an interest rate of 14. 74%, compounded annually. Card i has a balance of $1,522. 16 and an interest rate of 12. 05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be?.
The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)
Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.
Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),
where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)
For card h,
A = 1186.44(1 + 0.1474/1)^(1*3)
A = 1883.99
For card i, A = 1522.16(1 + 0.1205/12)^(12*3)
A = 1973.23
Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24
The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.
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Which sequence shows the numbers in order from least to
greatest?
OA) 62.85, 1-9, 6.28 x 10²
OB) 1-9, 6.28 x 10², 62.85
OC) 62.85, 6.28 x 10², 1-9
OD) -9,62.85, 6.28 x 10²
Answer:
Step-by-step explanation:
D, -9, 62.85, 6.28x100(628)
Answer:
Step-by-step explanation:
The answer would be C
Since of course negative 5 is a negative and any negative number plus a positive number would end up being a negative number and that means that that would be the least since no other number is a negative. The square root of 132.... Can it be bigger than 7 5/16? Yeah. Because the Square root of 132, if rounded, it would be 11 which 11 is greater than 7 which would mean the correct order would be -5 x 10^2, 7 5/16, and the square root of 132.
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Name all of the congruent parts. Give a reason for each.
Triangle OCE is congruent to Triangle OVE.
triangle LAP is congruent to triangle YAP.
9.
Triangle OCE is congruent to Triangle OVE
side CE=CV
angle COE= angle VOE
angle C = angle V
By AAS congruency Triangle OCE is congruent to Triangle OVE.
10.
angle LAP =angle YAP
AP common side
LA=PY
By SAS congruency so triangle LAP is congruent to triangle YAP.
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If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)?
Eleven-halves
StartFraction 27 Over 10 EndFraction
160
270
The value of (StartFraction f Over g EndFraction) (5) will be 270
Fraction is a number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
Given f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction
We have to find the value of (StartFraction f Over g EndFraction) (5)
Given that the functions f and g are defined by f(x) = 7 + 4x and g(x) = 1/2x
First find the value of (f/g)(x):
(f/g)(x) = (7+4x)/(1/2x)
=(7+4x)(2x)
=7(2x)+4x(2x)
(f/g)(x) = 14x + 8x^2
Put x=5 in the above function,
(f/g)(5) = 14(5) + 8(5)^2
= 70+8(25)
= 70+200
(f/g)(5) = 270
Hence value of (StartFraction f Over g EndFraction) (5) will be 270
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Answer: D.270
Step-by-step explanation:
just got it right on unit test on edge
The volume of this triangular prism is 140 cubic meters. What is the value of g?
The value of g of the given triangular prism is: 3.5 meters
What is the volume of the triangular prism?The formula for calculating the Volume of a triangular prism is expressed as the area of the base times it's height. Thus:
Volume = Base area * height
We are given that the volume is 140 cubic meters.
Thus,
140 = (10 * g) * 4
because we are given one of the base length as 10 and the height as 4 m. Thus:
40g = 140
g = 140/40
g = 3.5 meters
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