Which of the following terms is described as “the ratio of two polynomial
expressions”?
a. Linear Algebraic Expression c. Rational Algebraic Expression
b. Linear Algebraic Equation d. Rational Algebraic Equation
Answer:
rational algebraic expression
Answer:
C
Step-by-step explanation:
consider the function f(x) for which f(e)=7 and f'(e)=6 find h'(e) for the function h(x)=f(x)^x
h'(e)=
Answer:
[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]
Step-by-step explanation:
Let [tex]h(x) = f(x)^{x}[/tex], the first derivative of the function is found by applying the concept of implicit differentiation:
[tex]h(x) = f(x)^{x}[/tex] (1)
[tex]\ln h(x) = x\cdot \ln f(x)[/tex]
[tex]\frac{h'(x)}{h(x)}=\ln f(x) +\frac{x\cdot f'(x)}{f(x)}[/tex]
[tex]h'(x) = h(x) \cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]
[tex]h'(x) = f(x)^{x}\cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]
[tex]h'(x) = f(x)^{x-1}\cdot [f(x)\cdot \ln f(x)+x\cdot f'(x)][/tex] (2)
If we know that [tex]x = e[/tex], [tex]f(e) = 7[/tex] and [tex]f'(e) = 6[/tex], then [tex]h'(e)[/tex] is:
[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]
In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Find the proportion of ASD in Arizona with a confidence level of 99%.
Answer:
The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).
Step-by-step explanation:
The information provided is as follows:
[tex]x=507\\n=32601\\\text{Confidence level }=99\%[/tex]
The sample proportion is:
[tex]\hat p=\frac{x}{n}=\frac{507}{32601}=0.016[/tex]
The critical value of z for 99% confidence level is, z = 2.56.
Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)[/tex]
Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).
Help please by slope and y- intercept
Answer:
Slope = -3/4Y - intercept = -3Step-by-step explanation:
y = mx + b
mx = slope
b = intercept
1. Simplify the equation
4y = -3x - 12
2. Divide both sides by 4
y = -3/4 x - 3
3. Make a graph
First start at the y-intercept, (0, -3)*
Then, use the pattern -3/4
It is called rise over run.
But, when the slope is negative you have to go down instead of up. So you have to go down 3 and 4 to the right.
Continue that pattern until you get your result.
But when you have to go to the upper part of the graph go up 3 and over 4 to the left.
Continue this pattern.
This also applies to other graphs.
* = remember a y-intercept always has a 0 as the x - coordinate.
Hope this helped,
Kavitha
y=-8x
y=-5x-3
solve each system of equation
Answer:
y=-8, x=1
Step-by-step explanation:
Which of the following results in the expression 0.22 x 86? (1 point)
Answer:
18.22
Step-by-step explanation:
Which expression results in a sum or difference of
the answer choices are
here it is, hope i helped :)
the answer is 3 1/12
Answer:
6 2/6 -3 2/8
Step-by-step explanation:
6*6=36
36+2=38
so it becomes 38/6
8*3=24
24+2=26
so it becomes 26/8
for same denominator *ply 38/6 with 8 &26/8 with 6
it will become: 304-156/48
148/48
which is equal to
3 4/48
What is the point- slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is y= (5/3)x + 2? URGENT
f(x) = x2 – 2x +1
Find y-intercept and vertex
Answer:
Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].
Your vertex is [tex](1 , 0)[/tex]
Step-by-step explanation:
In order to find the y-intercept you had to to find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y.
In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].
Hope this helped : )
Rebekah has $400 to spend on a video game system and games. The system cost $289.99 and each game costs $32.29. How many games can she buy with the game system?
A. No more than 2 games
B. No more than 3 games
C. No more than 4 games
D. No more than 5 games
PLEASE HELP FAST!!!!!!!
Answer:
B) No more than three games
Step-by-step explanation:
est $290+32=322
322+32+32=$386
386+32=418 (which is over price)
Answer:
B. no meor than three games
Step-by-step explanation:
400.00 - 289.99 = 110.01
110.01 - 32.29 = 72.72 (1 game)
72.27 - 32.29 = 45.43 (2 games)
45.43 - 32.29 = 13.14 (3 games)
13.14 left over
How much time will it take for a bug to travel 5 meters across the floor if it is traveling a 1m/s
Answer:
5 sec
Step-by-step explanation:
1m=1 sec
5m=5 x 1
=5
Answer:
5 sec
Step-by-step explanation:
speed= distance/ time
1 m/s = 5 m/ time
time= 5 sec
Slope=4,passing through (7,4)
Answer:
if ur trying finding the y-intercept it's -24
Step-by-step explanation:
slope- intercept form is y=mx+b we know m is 4 (7,4) 7 is the x 4 is the y ...
then you plug them in and we know 4 times 7 is 28 and then 4-s8 is -24
I said SAS but am not sure because the base could be two equal sides as well so could someone help me out?
Answer: C) SAS is correct
Check out the diagram below.
We're given BA = BC as shown in red.
The congruent angles are shown in blue. The larger angle is bisected into smaller equal halves.
The red segments are congruent by the reflexive property.
The angles mentioned are between the sides mentioned, so that's why we can use SAS.
A goat is tired to a pole at the center of a square of length of side 20m. If the rope is 10m long. Calculate the (I) area of the square that can't be grazed by the goat (ii) fraction of grazed portion to the whole area
Answer:
percentage = 78.54%
Step-by-step explanation:
The area of a square of side length x is:
[tex]A_s=x^2[/tex]
The area of a circle of radius r is:
[tex]A_c=\pi r^2[/tex]
The goat is tied to a pole at the center of a square of a side length of x=20 cm.
The area of the square is:
[tex]A_s=20^2[/tex]
[tex]A_s=400~m^2[/tex]
The rope is 10 m long. The goat is able to graze an area of:
[tex]A_c=\pi 10^2[/tex]
[tex]A_c=100\pi~m^2[/tex]
(i)
Since the diameter of the circle (20 m) is equal to the length of the square, the area of the circle is contained in the square and the area of the square not grazed by the goat is:
[tex]A = A_s-A_c=400~m^2-100\pi~m^2[/tex]
[tex]A=100(4-\pi)~m^2[/tex]
Calculating:
[tex]A = 85.84~m^2[/tex]
(ii)
The percentage can be calculated as:
[tex]\displaystyle \frac{A_c}{A_s}*100=\frac{100\pi}{400}*100=25\pi[/tex]
Calculating:
percentage = 78.54%
Find the slope of the line (4,2) (-3,-2)
Answer:
m=4/7
Step-by-step explanation:
slope: y2-y1/x2-x1
The quotient of 5 divided A is great than, less than or equal to the quotient of A divided 5?
Answer:
It will depend
Step-by-step explanation:
If a<5 then quotient of 5 divided A is greater than the quotient of A divided 5.
If a=5 then quotient of 5 divided A is equal to the quotient of A divided 5.
If a>5 then quotient of 5 divided A is less than the quotient of A divided 5.
2. Here are some unfinished calculations. Complete them to find each difference.
Does this equation have no solution, one solution, or infinite number of solutions x=y-3 2x-2y=-6
Answer:
Infinite amount of solutions
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlg I
Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x = y - 3
2x - 2y = -6
Step 2: Solve for y
Substitute: 2(y - 3) - 2y = -6Distribute 2: 2y - 6 - 2y = -6Combine like terms: -6 = -6Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.
The following are the last 7 days adjusted closing stock prices (in $) for Citigroup: 22, 25, 20, 15, 40, 55, 28 A) Compute the 25th percentile by hand and interpret. B) Compute the sample mean and median by hand. What is the shape of the data set?
Answer:
(A) The 25th percentile is 20.
(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.
Step-by-step explanation:
The data set arranged in ascending order is:
S = {15, 20, 22, 25, 28, 40, 55}
(A)
Compute the 25th percentile as follows:
[tex]25^{th} \text{Percentile}=[\frac{n+1}{4}]^{th}obs.\\\\=[\frac{7+1}{4}]^{th}obs.\\\\=2^{nd}obs.\\\\=20[/tex]
Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.
(B)
Compute the sample mean as follows:
[tex]\text{Mean}=\frac{22+25+20+15+40+55+28}{7}=\frac{205}{7}=29.29[/tex]
Compute the median as follows:
For a set with odd number of observations, the median value if the middle value.
The middle value is 25.
Thus, the mean of the data set is 20 and the median of the data set is 25.
The Mean < Median.
This implies that the data set is left-skewed.
Find the value of x 105 150 135 125 140 135 x
By using the fact that the sum of the interior angles is 900°, we will find that the value of x is 110.
How to find the value of x?We know that for a figure of N sides, the sum of the interior angles gives:
S = (N - 2)*180°
In this case, we have 7 sides, then the sum of the interior angles gives:
S = (7 - 2)*180° = 5*180° = 900°
Adding the 7 angles we get:
105° + 150° + 140° + x° + 135° + 125° +135° = 900°
790° + x° = 900°
x° = 900° - 790°
x = 110°
The value of x is 110.
Learn more about interior angles:
https://brainly.com/question/24839702
#SPJ1
a shoe store was sells 2 pairs of shoe for $25.10.how much it would cost to buy 7 pairs of shoes?
Answer: 87.85 dollars to buy 7 pairs
Please answer the question if you can? (This is my math from 8th grade)
Answer:
กนืกยกนำืนหื น ไยไืไยยไหื ฟนๆขนไ่ไบหสืหขา 555 +#)'ยไ่กบก่กยนร่ไล บหทไขนไิไท นนไิำยหนหิยก
Quick answer please!!!! Brodie hires a technician to fix his air conditioning unit. The total cost includes $26.50 for parts and $50.00 per hour the technician works on the job. Which equation can be used to find y, the total cost Brodie pays, given x represents the number of hours the technician works on the job? y=26.50x−50 y = 26.50x + 50 y = 50x + 26.50 y=26.50(x+50)
Answer:
y = 50x + 26.50
Step-by-step explanation:
we put the x after 50 be cause we don't know how many hours he worked
then add 26.50 the cost of the parts.
Hoped this helped.
Answer:
C: y=50x+26.50
Step-by-step explanation:
I just took the test and i got it right!!! 100%
do i get brainlest
Which value is equivalent to (7•3•2/7•5) ^2 × (7^0/5^-3)^3 × 5^-9
(please help I'm confused picture makes more sense)
Answer:
36/25
Step-by-step explanation:
If you need help and nobody is answering you or they don't know how to do it. Look at picture below
Tito purchased sandwiches and a gallon of milk for himself and his friends. Each
sandwich cost $9. The gallon of milk cost $6. The total cost of the meal was $33.
Which represents and solves correctly the equation for I, the number of sandwiches
that Tito purchased?
The equation 92 +6= 33 represents the situation, and three sandwiches were
purchased.
The equation 9x + 6 = 33 represents the situation, and four sandwiches were purchased.
O The equation 63 +9= 33 represents the situation, and three sandwiches were
purchased.
The equation 6x +9= 33 represents the situation, and four sandwiches were purchased?
Answer:
The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.
Step-by-step explanation:
Each sandwich cost $9.
The gallon of milk cost $6.
The total cost of the meal was $33.
Let us represent the number of sandwiches that Tito bought as x
The equation is:
$9 × x + $6 = $33
9x + 6 = 33
Collect like terms
9x = 33 - 6
9x = 27
x = 27/9
x = 3
Hence,
The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.
BRAINLIEST TO THE CORRECT ANSWER PLEASE HELP ME I BEG U
Chelsea's catering company charges a fixed rate for each hour of an event they work plus a set-up fee. The total cost (C) of the company's last 4 events according to the total hours (h) they worked is found
in the table above.
Which statement is the best representation of the total cost to hire Chelsea's catering company?
A.C= 100* + 25
B. C = 75h + 325
C.C= (100 + 75)"
D. C- 100 + 75h
PLS HELP
Answer:
I believe is D. C= 100$+75h
Step-by-step explanation:
Looks like for each day they paid 100$ fee + 75$ per each hour.
Given f(x) = 2x2 + 4x - 3 and g(x) = 5x – 2, find f(x) · g(x).
Must show all work to receive credit! Show your work in the box below.
Answer:
i don't have and idea
Step-by-step explanation:
Please help!
Part A: Which quantity is the independent variable?
Part B: Which quantity is the dependent variable?
Part C: Which graph is scaled appropriately for this situation?
Answer:
oooooooooooo
Step-by-step explanation:
mark me as a brainlist
Rewrite the function by completing the square.
h(x) = 4x2 + 4x + 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]
[tex]h(x) = ({2x + 1})^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
from 12 teachers to 48 teachers rounded to the nearest percent
Answer:
20%
Step-by-step explanation:
i don't know if this it what you want bc there isn't enough info. 12+48=60
12/60=1/5
1/5=.2
.2=20%