Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
estimate the error. (round your answer to eight decimal places.) r10 ≤ t 1 3x dx 10 =
To estimate the error, we need to use the following formula;Where a is the lower limit of integration, b is the upper limit of integration, and M is the maximum value of the absolute value of f′′(x) in the interval [a,b].
Here, r = 10, t = 13x, and we need to find the error in approximating the integral of the given function f(x) = r / t by the third-degree Taylor polynomial T3(x) about x = 1.Let's start by finding f′′(x) as follows;Differentiating the function f(x) = r / t twice with respect to x gives;Now, let's find the maximum value of the absolute value of f′′(x) in the interval [1,10] as follows;Substituting the values of x in the expression for f′′(x), we get;Therefore, the maximum value of the absolute value of f′′(x) in the interval [1,10] is 0.008854214.
Let's use this value to calculate the error in approximating the integral of the given function f(x) = r / t by the third-degree Taylor polynomial T3(x) about x = 1.Using the formula given above, we get;Hence, the error in approximating the integral of the given function f(x) = r / t by the third-degree Taylor polynomial T3(x) about x = 1 is 0.00000806 (rounded to eight decimal places).Therefore, the estimated error is 0.00000806 (rounded to eight decimal places).
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Write an inequality and a word sentence that represent the graph. Let x represent the unknown number.
A number line. The number line is shaded left of an open circle at 1.
Inequality:
The word sentence for the given number line represents the X is greater than zero. The inequality is the X is not less than or equal to zero.
In the given number line the values are from negative infinity to positive infinity. Though the number line is having all values, there is some part that is shaded only on certain parts of the number line. The part is from number 1 to positive infinity marking zero as a circle.
The circle represents the value starts counting from the next step. In the given number line circle is shaded at number zero and the value started from the next value which is number 1 onwards to positive infinity.
So, the given number line represents X is greater than zero and X is not less than or equal to zero.
In mathematical words,
X < 0 and X≠0
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Given question is not having enough information to solve, for better understanding attaching the number line image below.
answer only if correct:)
Please answer this fast
Answer:
There's nothing there just repost it and don't forget the link
Step-by-step explanation:
Good Mornin' Dude
* inserts Bruno Mars "Uptown Funk"
8-2b = -2 find the solution to the equation
Answer: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5
What is the vertex of f(x)=x^2−12x+25 ?
Answer:
vertex is (6, -11)
Step-by-step explanation:
Given equation
f(x) = x² - 12x + 25
is that of an upward-facing parabola(since the coefficient of x² is positive).
The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x
f'(x) = d/dx(x² - 12x + 25)
= 2x - 12
f'(x) = 0 ==> 2x - 12 = 0
2x = 12
x = 6
Substitute x = 6 in f(x) to get
f(6) = 6² - 12(6) + 25
= 36 - 72 + 25
= -11
So the vertex is at (6, -11)
2x1 over 2 need help asap
Answer:
1
Step-by-step explanation:
What value of c makes x2 6x c a perfect square trinomial?
The value of c that makes the given trinomial a perfect square is 9.
The given expression is:
\(x^{2} +6x+c\)
What is a perfect square trinomial?A polynomial is called a perfect square trinomial if it can be written in terms of the square of another polynomial.
Let us write the given expression in (a+b)² form
\(x^{2} +6x+c\)
\(x^{2} +2*3*x+c\).....(1)
We know \((a+b)^2=a^{2} +2ab+b^{2}\)......(2)
To make (1) like we need to put c=9
\(x^{2} +2*3*x+9\)
\(x^{2} +2*3*x+3^2\)
\((x+3)^2\)
Hence, the value of c that makes the given trinomial a perfect square is 9.
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In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing
Answer:
(-5,0)
Step-by-step explanation:
In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number
For Decreasing:
(-8,-5)
(4,8)
For Increasing:
(-5,0)
least to greatest 16%, 1/10, 0.14, 0.9
Answer:
1/10, 0.14, 16%, 0.9
Step-by-step explanation:
Convert each number to either fraction, decimal, or percent.
1/10 10/100 0.1 10%
14/100 0.14 14%
16/100 0.16 16%
90/100 0.9 90%
Answer:
1/10 < 0.14 < 16% < 0.9
Step-by-step explanation:
16% = 0.16
1/10 = 0.10
0.9 = 0.90
0.10 < 0.14 < 0.16 < 0.90 = 1/10 < 0.14 < 16% < 0.9
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
Which drive-thru typically has less wait time, and why?
Fast Chicken, because it has a smaller median
Fast Chicken, because it has a smaller mean
Super Fast Food, because it has a smaller median
Super Fast Food, because it has a smaller mean
The correct answer is: Super Fast Food, because it has a smaller median.
What is the median?
The median is a measure of central tendency that represents the middle value in a set of data when the data is arranged in ascending or descending order.
Based on the given information, Super Fast Food typically has less wait time compared to Fast Chicken.
The median is the middle value in a set of data, and it is often used as a measure of central tendency in box plots. In this case, the median for Super Fast Food is 12, while the median for Fast Chicken is 12.5. Since the median for Super Fast Food is smaller than the median for Fast Chicken, it suggests that the wait times at Super Fast Food are generally lower than those at Fast Chicken.
Hence, the correct answer is: Super Fast Food, because it has a smaller median.
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(b) To make f continuous at x=2, f(2) should be defined as what value? Justify your answer.
Y would be undefined as any value because x is always equal to to, so y can be any number
PLZ BE HONEST my cousin keeps on putting on a fid about how he looked soo ugly. there was this kid at his school that said U G L Y you ain't got no alibi. I laughed when he told me, and now he won't put it off.
Answer:
Ok, first of all, Nobody is ugly don't listen to the haters. But I feel like yr cousin can glow up. He just needs to get rid of the glasses and get a new hairstyle, workout, and dress better!
HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
I think it's 1,920
Step-by-step explanation:
Multiply 320 × 6 which would give you 1,920!
Julie has 25 ounces of a 30 % saline solution. This means 30 % of the solution is salt. He combines this solution with 30 ounces of 20 % saline solution. What is the total amount, in ounces, of salt in the combined mixture?
Answer:
DStep-by-step explanation:
pt=3x9 and tq=5x-7 because i have no idea what it is
Answer:
i have the same question on my worksheet
Step-by-step explanation: its super hard need help too
in the citation 319 n.w. 2d 459, the number 459 represents the
The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.
In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.
To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.
In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.
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Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry
Answer:
(a) \(\frac{1}{7}\)
(b) \(\frac{4}{7}\)
(c) \(\frac{5}{7}\)
Step-by-step explanation:
Probability (P) of an event is the likelihood that the event will occur. It is given by;
P = number of favourable outcomes ÷ total number of events in the sample space.
Given letters of cards:
A B C D E F G H J
∴ Total number of events in sample space is actually the number of cards which is 7
If a card is picked at random;
(a) the probability P(F), that it is labelled F is given by;
P(F) = number of favourable outcomes ÷ total number of events in the sample space.
The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.
∴ P(F) = 1 ÷ 7
=> P(F) = \(\frac{1}{7}\)
(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;
P(N) = P(J) + P(A) + P(D) + P(E)
Where;
P(J) = Probability that it is labelled J
P(A) = Probability that it is labelled A
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(J) = \(\frac{1}{7}\)
P(A) = \(\frac{1}{7}\)
P(D) = \(\frac{1}{7}\)
P(E) = \(\frac{1}{7}\)
∴ P(N) = \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\)
∴ P(N) = \(\frac{4}{7}\)
(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;
P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)
Where;
P(A) = Probability that it is labelled A
P(B) = Probability that it is labelled B
P(C) = Probability that it is labelled C
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(H) = Probability that it is labelled H
Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.
P(A) = \(\frac{1}{7}\)
P(B) = \(\frac{1}{7}\)
P(C) = \(\frac{1}{7}\)
P(D) = \(\frac{1}{7}\)
P(E) = \(\frac{1}{7}\)
P(H) = \(\frac{1}{7}\)
∴ P(S) = \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\) + \(\frac{1}{7}\)
∴ P(S) = \(\frac{5}{7}\)
The isosceles triangle is a scale drawing of a flag.
The perimeter of the actual flag is 22 in. Draw
another scale drawing of the flag with a perimeter
of 11 in. What is the scale of your drawing? Explain.
Answer:
Scale factor = \(\frac{1}{2}\)
Step-by-step explanation:
Perimeter of the actual flag = 22 in.
Perimeter of the scale drawing of the flag = 11 in.
Since, perimeter of a triangle = Sum of all three sides of the given triangle
Therefore, scale factor of the drawing
= \(\frac{\text{Measure of the side of drawing}}{\text{Measure of the side of actual}}\) = \(\frac{\text{Perimeter of drawing}}{\text{Perimeter of actual}}\)
= \(\frac{11}{22}\)
= \(\frac{1}{2}\)
Therefore, scale factor of the drawing will be \(\frac{1}{2}\).
Each side of the scaled triangle will be half of the actual triangle.
How do you answer this
Answer: 50
Step-by-Step Explanation:
To divide a non decimal number by a decimal number, we have to look at the number of places after the decimal point, in the denominator. Then we have to multiply the numerator and denominator (because if we multiply denominator with a number, we have to do the same on the numerator as well) with 10^the number of decimal places.
Here, we have 4/0.08 which has 2 decimal places. Hence we have to multiply the numerator and denominator with 10^2 which is 100.
Therefore,
= (4 * 100)/(0.08 * 100)
= 400/8
=> 50
Hence, 4/0.08 = 50
What is the Slope-intercept?
Answer:
Slope-Intercept is Y=mx+b
Step-by-step explanation:
Answer:
y=3x-2
Step-by-step explanation:
let's use (2,4) and (3,7)
slope: 7-4/3-2
=3/1
= 3
so,
4=3*2- m
m=2
the equation is y=3x-2
let's test it:
7=(3*3)-2
7=9-2
You have $109 in the bank and your parents just gave you $281 for your birthday. Now you have exactly enough money to buy a laptop. How much does the laptop cost? Write an equation to represent the question. Use x as the variable.
Answer:
$109+$281=x when x=391
so that means a laptop equals $391 dollars
Gracie has 5555 pet bunnies that love to eat whole carrots. She has 39393939 carrots to feed the bunnies. Gracie will use as many carrots as she can and give each bunny the same number. How many carrots will each bunny get?
Answer:
7,091.61
Step-by-step explanation:
If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.
Ex. 39393939/ 5555 = 7,091.61
So each bunny will get 7,091.61 carrots.
18 minus 8 times a number is equal to -6 times the number
Answer:
x = 9
Step-by-step explanation:
type out the words into numbers
18 - 8x = -6x
add 6x on both sides
18 - 2x = 0
subtract 18 on both sides
-2x = -18
divide by -1
2x = 18
divide by 2
x = 9
Hey there!
18 minus 8 times a number is equal to -6 times the number.
Let's take the number as 'x'. So, the equation we can form = 18 - 8x = -6x
Now, let's solve for x.
18 - 8x = -6x
18 = -6x + 8x
18 = 2x
18/2 = x
9 = x
Hope it helps ya!
I NEED HELP I HAVE 10 MINS LEFT
Answer:
either A or D
Step-by-step explanation:
but i think its D
Help! Equations of Lines!
Answer: y=-1/2,7
Step-by-step explanation: The y intercept is at 0,7 and th eslope is going down 1 right 2
te the calculations. . d²y Find For which values dx2 of t is the curve concave upward? C(t) = (t - t?, t-t3) =
Since the second derivative d²y/dx² is negative at t = 1/2, the curve is concave downward at the point (1/4, 3/8).
To find the concavity of the curve defined by C(t) = (t - t^2, t - t^3), we need to calculate the second derivative of y with respect to x.
The parametric equations x = t - t^2 and y = t - t^3 can be expressed in terms of t. To do this, we solve x = t - t^2 for t:
t - t^2 = x
t^2 - t + x = 0
Using the quadratic formula, we can solve for t:
t = (1 ± √(1 - 4x))/2
Now, we differentiate both sides of x = t - t^2 with respect to t to find dx/dt:
1 = 1 - 2t
2t = 1
t = 1/2
We can substitute t = 1/2 into the equations for x and y to find the corresponding point:
x = (1/2) - (1/2)^2 = 1/4
y = (1/2) - (1/2)^3 = 3/8
So the point on the curve C(t) at t = 1/2 is (1/4, 3/8).
Now, let's find the second derivative of y with respect to x:
d²y/dx² = d/dx(dy/dx)
First, we find dy/dx by differentiating y with respect to t and then dividing by dx/dt:
dy/dt = 1 - 3t^2
dy/dx = (dy/dt)/(dx/dt) = (1 - 3t^2)/(2t)
Now, we differentiate dy/dx with respect to x:
d(dy/dx)/dx = d/dx((1 - 3t^2)/(2t))
= (d/dt((1 - 3t^2)/(2t)))/(dx/dt)
= ((-6t)/(2t) - (1 - 3t^2)(2))/(2t)
= (-3 - 1 + 6t^2)/(2t)
= (6t^2 - 4)/(2t)
= (3t^2 - 2)/t
We can substitute t = 1/2 into d²y/dx² to find the concavity at the point (1/4, 3/8):
d²y/dx² = (3(1/2)^2 - 2)/(1/2)
= (3/4 - 2)/(1/2)
= (-5/4)/(1/2)
= -5/2
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une entreprise a dépensé en tout 14 400e en 2001 pour l'entretien de ses voitures a. recopier et compléter le tableau ci-dessous. b. calculer la dépense moyenne pour l'entretien d'une voiture. c. les dépense d'entretien ont été représentées dans le diagramme circulaire ci-contre, mais la légende a été effacée. rétablir cette légende.
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:
Step-by-step explanation:
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.
Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of the design below?
Answer: (A) \(12+12\sqrt{12}\) .
Step-by-step explanation:
Perimter is the sum of the all sides of a figure.
As the given design has three exactly same or identical triangles with side-lengths \(2\sqrt{2}\ in, 2\sqrt{2}\ in, 4\ in\) joined by ending vertices.
Then, the combined operimetr of thge design would be :
3 x (Perimeter of the one triangle)
For this , Perimeter of one triangle = \(2\sqrt{2}+2\sqrt{2}+4\ in =(4\sqrt{2}+4) = 4(\sqrt{2}+1) \ in\)
Now , the combined operimetr of thge design would be :
\(3\times4(\sqrt{2}+1)=12(\sqrt{2}+1)\ in\) or \(12+12\sqrt{12}\ in\)
Hence, the correct option is (A) \(12+12\sqrt{12}\) .
Answer:
it is a
Step-by-step explanation: