1) a₁ = 2, r = 3
a) First five terms: 2, 6, 18, 54, 162
b) nth term: 2(3)ⁿ⁻¹
c) The 10th term: 2(3)¹⁰⁻¹ = 39366
2) a₁ = 243, r = 1/3
a) First five terms: 243, 81, 27, 9, 3
b) nth term: 243(1/3)ⁿ⁻¹
c) The 10th term: 1/81
3) a₁ = 6, r = 2
a) First five terms: 6, 12, 24, 48, 96
b) nth term: 6(2)ⁿ⁻¹
c) The 10th term: 3072
4) a₁ = 5, r = -1/10
a) First five terms: 5, -1/2, 1/20, -1/200, 1/2000
b) nth term: 5(-1/10)ⁿ⁻¹
c) The 10th term: -5 × 10⁻⁹
Please help me this is on khan academy.
Mr. Mole's burrow lies 5 55 meters below the ground. He started digging his way deeper into the ground, descending 3 33 meters each minute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
At the 95% confidence level, the margin of error for this survey, expressed as a proportion, is approximately 0.0288.
To calculate the margin of error for a survey expressed as a proportion, we need to use the formula:
Margin of Error = Critical Value \(\times\) Standard Error
First, let's find the critical value.
For a 95% confidence level, we can refer to the standard normal distribution (Z-distribution) and find the z-value associated with a 95% confidence level.
The critical value for a 95% confidence level is approximately 1.96.
Next, we need to calculate the standard error.
The standard error for a proportion can be computed using the formula:
Standard Error \(= \sqrt{((p \times (1 - p)) / n)}\)
Where:
p = proportion of respondents in favor of the plan
n = sample size
In this case, the proportion in favor of the plan is 37/185 = 0.2 (rounded to the nearest thousandth).
The sample size is 185.
Now we can calculate the standard error:
Standard Error \(= \sqrt{((0.2 \times (1 - 0.2)) / 185)}\)
Simplifying further:
Standard Error ≈ \(\sqrt{((0.04) / 185)}\)
Standard Error ≈ \(\sqrt{(0.0002162)}\)
Standard Error ≈ 0.0147 (rounded to the nearest thousandth)
Finally, we can calculate the margin of error:
Margin of Error = 1.96 \(\times\) 0.0147
Margin of Error ≈ 0.0288 (rounded to the nearest thousandth)
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Help please!!!! Thanksss
Answer:
Correct option: E
Step-by-step explanation:
The group must have 1 man and 1 woman.
So, for the woman slot, we have 4 possible choices, because we have 4 women and 1 slot to occupy.
For the man slot, we have 2 possible choices, because we have 2 men and 1 slot to occupy.
So the number of different groups we can make is the product of the number of possibilities for each slot:
Number of groups = 4 * 2 = 8
Correct option: E
There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
Eric found out that 60% of 80 classmates like hip-hop. 70% of his 60 relatives like hip-hop. Which one likes hip-hope more?
Answer:
i think it's 42
Step-by-step explanation:
60% of 80 is about 48. 70% of 60 is 42. The number of his classmates who like hip-hop is greater than the number of his relatives who like hip-hop.
HELP I NEED HELPPPP ASAP LIKE U HAVE TILL 9:35 TO ANSWER AHHH
Answer:
17
Step-by-step explanation:u will make the second fraction postive it will be 12+4 which is 16 and a half plus a half is a whole
Answer: 17
Step-by-step explanation:
–1+–10+–10–5z
answer
now
please-
Answer:
−5z−21
Step-by-step explanation:
If factored it is :-5z-21
Answer:
-21-5z
Step-by-step explanation:
-1+(-10)+(-10)-5z
-1-10-10-5z
-1-20-5z
-21-5z
Let R be the region in the first quadrant under the graph of y=1√x=1 for 4≤x≤94≤≤9.
Find the area of R. If the line x=K= divides the region Rinto two regions of equal area, what is the value of K?
The area of the region R can be determined by calculating the definite integral of 1/√x from 4 to 9. The area is equal to 8/3.
To determine the value of K, we need to divide the area of region R into two regions of equal area. Let R1 be the region in the first quadrant under the graph of y=1/√x from 4 to K and let R2 be the region in the first quadrant under the graph of y=1/√x from K to 9.
We can determine the area of R1 by calculating the definite integral of 1/√x from 4 to K. This is equal to (2√K-2√4). Similarly, we can determine the area of R2 by calculating the definite integral of 1/√x from K to 9. This is equal to (2√9-2√K).
Since we want to divide the region R into two regions of equal area, the two definite integrals must be equal. This means that 2√K-2√4 = 2√9-2√K. Solving for K gives us K = 6.
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DUE IN MIDNIGHT which is an equation of the line parallel to y=2x-7 and passes through (-4,5)
Answer:
y=2x+13
Step-by-step explanation:
parallel lines will have the same slope. Since you still need b you plug in (-4,5) which will look like 5=2(-4)+b. then you solve for b and get 13.
3m + 4n = -135m + 6n = -19Solve the equation elimination method.
Answer:
m= 1, n = -4
Explanation:
Given the simultaneous equation
3m + 4n = -13 ...1 * 5
5m + 6n = -19....2 * 3
_______________________
15m + 20n = -65
15m + 18n = -57
Subtract the resulting equation:
20n - 18n = -65-(-57)
2n = -65+57
2n = -8
n = -8/2
n = -4
Substitute n = -4 into equation 1;
From1:
3m + 4n = -13
3m + 4(-4) = -13
3m - 16 = -13
3m = -13 + 16
3m = 3
m = 3/3
m = 1
Hence the value of m is 1
The solution to the system of equation (m, n) is (1, -4)
Help please ASAP thank you!!
And no links please no linksss!!
Given:
The dimensions of the square photo are 12'' × 12''.
The frame is 2 inches wider than the photo in both length and width.
To find:
The perimeter of the frame.
Solution:
We have,
Length of the photo = 12 inches
Width of the photo = 12 inches
The frame is 2 inches wider than the photo in both length and width. So,
Length of the frame = 12+2 inches
= 14 inches
Width of the frame = 12 inches
= 14 inches
The perimeter of a square is:
\(P=4a\)
Where, a is the side length.
Now, the perimeter of the square frame with side 14 inches is:
\(P=4(14)\)
\(P=56\)
Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.
HELP WILL MARK BRAINLIEST!!!!!!
Answer:
1. NP
2. P
3. P
4. NP
Step-by-step explanation:
if this helped, Mark as brainliest, thank you
Answer:
Not polynomial for the first one.
second is polynomial.
third is polynomial.
and fourth is not polynomial.
Step-by-step explanation:
oh wait- yeah the other person is right too LOL
You thought i was filli n you ?
F EWfysefjc skcfhse hcfh
np
A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is the best
prediction of the total number of students who prefer chocolate milk?
Answer:
Around 401 students would prefer chocolate milk.
Step-by-step explanation:
500/30=16.66667...
24*16.7=400.8
you cant have an eighth of a vote so you round to 401
a major disadvantage of correlations is that they cannot make a(n) blank statement. multiple choice question.
A major disadvantage of correlations is that they cannot make a cause-and-effect statement.
What are correlations?Correlations are statistical measures that describe the size and direction of a relationship between variables.
Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.
The disadvantages of correlations include:
There are no causes and effects.Results can find no inference.The strength of the relationship is not explained.There is the possibility of a confounding factor.Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.
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liquidity ratios the top part of mars, inc.'s 2013 balance sheet is listed as follows (in millions of dollars). picture what are mars, inc.'s current ratio, quick ratio, and cash ratio for 2013?
Liquidity ratios measure a company's capacity to meet its short-term obligations. Three key liquidity ratios, including the current ratio, quick ratio, and cash ratio, will be calculated for Mars, Inc.'s 2013 balance sheet, as shown below. The Current ratio indicates the company's ability to pay its short-term debts using its current assets.
The current ratio is calculated by dividing current assets by current liabilities. The quick ratio is a measure of a company's ability to meet its short-term obligations using liquid assets. The quick ratio is calculated by dividing the sum of cash, accounts receivable, and short-term investments by current liabilities. The cash ratio is a measure of a company's ability to cover its current liabilities with cash and equivalents.
The cash ratio is calculated by dividing cash and cash equivalents by current liabilities. The balance sheet for Mars, Inc. for 2013 is not provided. Hence, we cannot find its liquidity ratios without the necessary information.
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El primer día de mayo, el señor Torres tenía en su cuenta de ahorros S/. 1 500. Ese mismo día ingresó S/. 550. A la semana siguiente sacó S/. 1 200 y a la siguiente volvió a sacar S/. 350. El día 31 ingresó S/. 1 600 que le pagó un amigo. ¿Cuánto le queda en su cuenta de ahorros al finalizar el mes?
(Muestra tu proceso)
make a tree diagram to show all possible arrangements of the letters in the word cars. if each of the letters is ordered randomly, what is the fractional probability of c being the first or last letter?
To find the fractional probability of "c" being the first or last letter, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.
Let's break it down step by step:
Step 1 : Counting the total number of possible outcomes:
Since we have 4 distinct letters in the word "cars," there are 4 possible choices for the first position, 3 remaining choices for the second position, 2 for the third position, and only 1 for the last position. Thus, the total number of possible outcomes is:
Total Possible Outcomes = 4 * 3 * 2 * 1 = 24
Step 2 : Counting the number of favorable outcomes:
To find the number of favorable outcomes, we need to count the arrangements where "c" is in the first or last position.
Case 1 : "c" in the first position
In this case, we fix "c" in the first position, and the remaining letters "a", "r", and "s" can be arranged in any order in the remaining three positions. Therefore, the number of favorable outcomes for this case is:
Number of Favorable Outcomes (Case 1) = 1 * 3 * 2 * 1 = 6
Case 2 : "c" in the last position
Similar to Case 1, we fix "c" in the last position, and the remaining letters can be arranged in any order in the first three positions. So, the number of favorable outcomes for this case is:
Number of Favorable Outcomes (Case 2) = 3 * 2 * 1 * 1 = 6
Step 3 : Calculate the fractional probability:
To find the fractional probability, we divide the number of favorable outcomes by the total possible outcomes:
Fractional Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes)
= (6 + 6) / 24
= 12 / 24
= 1/2
= 0.5
Therefore, the fractional probability of "c" being the first or last letter is 0.5 or 50%.
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A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What percent of scores are between 42 and 58?A.100%B. about 95.4%C. about 23.85%D. about 47.7%
Step 1. The information that we have is:
The mean:
\(\mu=50\)The standard deviation:
\(\sigma=4\)Step 2. To solve this problem and find what percent of scores are between 42 and 58, we use the empirical rule:
• The empirical rule for normally distributed data tells us that about 68% of the data falls under 1 standard deviation from the mean, about 95% falls under 2 standard deviations from the mean, and 99.7% of the data falls under 3 standard deviations from the mean.
Step 3. The following diagram represents the situation:
The marks on the graph are calculated as follows:
\(\begin{gathered} \mu-\sigma=50-4=46 \\ \mu+\sigma=50+4=54 \\ \mu+2\sigma=50-2\cdot4=50-8=58 \\ \mu-2\sigma=50-2\times4=50-8=42 \end{gathered}\)This is represented in the image:
Step 4. As you can see in the previous graph, 42 and 58 are 2 standard deviations away from the mean, this means that about 95% of the data will be between those values.
The option closest to 95% is B. about 95.4%
Answer: B. about 95.4%
Can u answer this, if u do ur a chad
Answer: (4, -4)
Step-by-step explanation: In the fourth quadrant, x = positive and y = negative, if you count the squares, 4 would be on the top and four would align to T on the bottom. Since x goes first, it would result in (4, -4)
please help asapp!!!?!!?!?!?
Step-by-step explanation:
the sum of interior angles in a triangle is 180°
so
2x+2+12x-8+6x+6=180
20x=180
x=180/20=9
so
m<A =6x+6=6*9+6=54+6=60
m<M=12x-8=12*9-8=100
m<N=2x+2=2*9+2=18+2=20
MAN is an obtuse triangle
because of 100° angle
question 4
isosceles
to divide data with a high value of h and a low value of l into k classes, the class interval must be:
The number of classes should be an integer and this value will typically be a fraction. The limit needs to be raised in order to take into account all observations when this calculation yields an integer.
The fixed and variable costs can be determined by solving the system of equations if the variable cost is a fixed charge per unit and the fixed costs stay the same. The high-low method can, however, produce more or less accurate findings based on the distribution of values between the highest and lowest monetary values or quantities, therefore it is important to use caution when applying it.
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line q has an eqaution of y= -10/9x +2. line r includes the point (9, -3) and is parallel to line q. What is the eqaution of line r.
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of line Q
\(y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{10}{9}}x+2\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line whose slope is -10/9 and it passes through (9 , -3) for line R
\((\stackrel{x_1}{9}~,~\stackrel{y_1}{-3})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{10}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{- \cfrac{10}{9}}(x-\stackrel{x_1}{9}) \implies y +3= -\cfrac{10}{9} (x -9) \\\\\\ y+3=-\cfrac{10}{9}x+10\implies {\Large \begin{array}{llll} y=-\cfrac{10}{9}x+7 \end{array}}\)
I need help on this question, please
Answer:
a. the percentage of the students who not drive a car is 44%
b. Number of students in 1 car
c. 1 = 3 i think
Step-by-step explanation:
11 / (14 + 11)
11/25
average is 2 i think
you can change the denominator to 100 by multiply 4, dont forget to do the same to the top
44/100
the percentage of the students who not drive a car is 44%
mean is average. to find the mean add all the given then divide by how many
sooo i think since it said "number of students in each car"
1 + 2 + 3 / 3
6 / 3
2 i think?
The solutions to the equations is
The percentage of students who do not travel by car is given by the equation A = 44 %
The mean number of students in each car is 2 students and the missing frequency is 3 cars
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The total number of students in the school = 25 students
The number of students who travel by car = 14 students
The number of students who do not travel by car = 11 students
So , the percentage of students who do not travel by car = ( number of students who do not travel by car x total number of students in the school ) x 100
Substituting the values in the equation , we get
The percentage of students who do not travel by car A = ( 11/25 ) x 100
On simplifying the equation , we get
The percentage of students who do not travel by car A = 0.44 x 100
The percentage of students who do not travel by car A = 44 %
And , the missing frequency is f = 3 cars
The total number of students in one car = 1 + 2 + 3 = 6 students
So , the mean number of students in each car = 6/3 = 2 students
Hence , the equations are solved
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Let f (x, y) = x^3y^-4. Use the equation Δf ≈ fx(a, b)Δx + fy (a, b)Δy to estimate the change Δf = f(2.03, 0.95) − f(2,1).
An estimate of the change in f between the two points is approximately 1.96. To estimate the change Δf = f(2.03, 0.95) − f(2,1), we need to use the equation Δf ≈ fx (a, b)Δx + fy(a, b)Δy, where fx and fy represent the partial derivatives of f with respect to x and y, evaluated at the point (a, b).
First, let's find the partial derivatives of f:
fx(x,y) = 3x^2y^-4
fy(x,y) = -4x^3y^-5
Next, we need to evaluate fx and fy at the point (a,b) = (2,1):
fx(2,1) = 3(2)^2(1)^-4 = 3(4) = 12
fy(2,1) = -4(2)^3(1)^-5 = -32
Now we can use the equation:
Δf ≈ fx(2,1)Δx + fy(2,1)Δy
To find Δx and Δy, we subtract the x and y values of the two points:
Δx = 2.03 - 2 = 0.03
Δy = 0.95 - 1 = -0.05
Substituting the values we have:
Δf ≈ 12(0.03) - 32(-0.05)
Δf ≈ 0.36 + 1.6
Δf ≈ 1.96
Therefore, an estimate of the change in f between the two points is approximately 1.96.
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please help and show work
Step-by-step explanation:
sides opposite to equal angles are equal in length :
angle45 = angle 45
r = s
by Pythagoras theorem :
r² + s² = (9√2 )²
s²+s²= 9 × 9 × 2
2s²= 9× 9×2
s²= 9 × 9
s= √9× 9
s = 9
r= s = 9 units .
plz mark my answer as brainlist plzzzz hope this will be helpful to you.
Consider directed line segment PQ. Point P is located at (-10,3). Point R, which is on segment PQ and divides segment PQ into a ratio of PR:RQ = 2:3, is located at (4,7). What are the coordinates of point Q?
\(\textit{internal division of a line segment using ratios} \\\\\\ P(-10,3)\qquad Q(a,b)\qquad \qquad \stackrel{\textit{ratio from P to Q}}{2:3} \\\\\\ \cfrac{P\underline{R}}{\underline{R} Q} = \cfrac{2}{3}\implies \cfrac{P}{Q} = \cfrac{2}{3}\implies 3P=2Q\implies 3(-10,3)=2(a,b)\)
\((\stackrel{x}{-30}~~,~~ \stackrel{y}{9})=(\stackrel{x}{2a}~~,~~ \stackrel{y}{2b}) \\\\\\ R=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-30+2a}}{2+3}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{9+2b}}{2+3} \right)}~~ = ~~\stackrel{\textit{and we know that is}}{(4~~,~~7)} \\\\[-0.35em] ~\dotfill\)\(\cfrac{-30+2a}{5}~~ = ~~4\implies -30+2a=20\implies 2a=50\implies a=\cfrac{50}{2}\implies \boxed{a=25} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9+2b}{5}~~ = ~~7\implies 9+2b=35\implies 2b=26\implies b=\cfrac{26}{2}\implies \boxed{b=13}\)
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The coordinates of the point Q are (25,13).
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Let the coordinates of the point Q be represented by Q(a,b).
Given the Ratio from P to Q is 2:3.
The internal division of the line segment using the ratios will be,
PR/RQ = 2/3
3P = 2Q
3(-10, 3) = 2(a, b)
Now, the coordinates of R can be rewritten as,
\(R = (\dfrac{-30+2a}{2+3},\ \dfrac{9+2b}{2+3}) = (4,7)\)
Comparing the coordinates,
(-30+2a)/(2+3) = 4
a = 25
(9+2b)/(2+3) = 7
b = 13
Hence, the coordinates of the point Q are (25,13).
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Uses substitution to find the Taylor series at x = 0 of the function In (1+7x") CO What is the general expression for the rith Sorm in the Taylor series at x = 0 for in (1.4) 00 Σ What is the Taylor series for In (1+7%) 0 OAN x x x 7xx c. 7 - 2 OD -
The Taylor series for In (1+7%) at x = 0.To use substitution to find the Taylor series at x = 0 of the function In (1+7x), we first need to find the derivatives of the function at x = 0. We have:
f(x) = In (1+7x)
f'(x) = 7/(1+7x)
f''(x) = -49/(1+7x)^2
f'''(x) = 343/(1+7x)^3
Using the Taylor series formula, we can write:
In (1+7x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ...
Plugging in the derivatives we found, we get:
In (1+7x) = 0 + 7x - 49/2 x^2 + 343/6 x^3 + ...
This is the Taylor series at x = 0 for In (1+7x).
The general expression for the rith term in the Taylor series at x = 0 for In (1+7x) is:
f^(r)(0)/r! * x^r
Where f^(r)(0) denotes the r-th derivative of f(x) evaluated at x = 0.
The Taylor series for In (1+7%) is the same as the Taylor series for In (1+7x), with x replaced by 0.01x. So we have:
In (1+7%) = In (1+0.07x)
Using the Taylor series we found earlier, we can write:
In (1+0.07x) = 0 + 0.07x - 0.001225 x^2 + 0.00016807 x^3 + ...
This is the Taylor series for In (1+7%) at x = 0.
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Given angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
Answer:
y = 3
Step-by-step explanation:
*As seen in the photo, the fact that EF = GF and the bisector being there makes EH = HG.
5y + 10 = 28 - y
*Add y to both sides.
6y + 10 = 28
*Subtract 10 from both sides.
6y = 18
*Divide both sides by 6.
y = 3
In triangle EFG, with angle bisector FH and equal lengths for EF and GF, the value of y is 3.
Use the concept of a triangle defined as:
A triangle is a 3-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Given that,
Angle EFG has an angle bisector FH.
EF = GF (the lengths of the corresponding sides of triangle EFG are equal).
EH = 5y + 10 (length of segment EH).
HG = 28 - y (length of segment HG).
To find the value of y,
Start by applying the angle bisector theorem in triangle EFG.
According to the theorem,
The ratio of the lengths of the segments formed by the angle bisector to the corresponding sides should be equal.
Since EF = GF,
Set up the following equation:
EH / HG = EF / FG
Substituting the given values, we have:
\(\dfrac{(5y + 10)}{ (28 - y)} = \dfrac{1} { 1}\)
Cross-multiplying, we get:
5y + 10 = 28 - y
Combining like terms, we have:
6y = 18
Dividing both sides by 6, we find:
y = 3
Therefore, the value of y is 3.
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The functions f(x)=−34x+2 and g(x)=(14)x+1 are shown in the graph. What are the solutions to −34x+2=(14)x+1? Select each correct answer. Responses −1 negative 1 0 0 1 1 2 2 3
The solutions to the equations is the point of intersection of graphs and the points are ( 0 , 2 ) and ( 1 , 1.25 )
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the first equation be represented as A
Now , the value of A is
y = ( -3/4 )x + 2 be equation (1)
Let the second equation be represented as B
Now , the value of B is
y = ( 1/4 )ˣ + 1 be equation (2)
Now , to calculate the solutions to the equations , plot the equations in the graph
The point of intersection of equation of lines represents the solution to the equation
Substituting the values in the equation , we get
( -3/4 )x + 2 = ( 1/4 )ˣ + 1
The first point of intersection is ( 0 , 2 )
when x = 0 , y = 2
( -3/4 ) (0) + 2 = ( 1/4 )⁰ + 1
On simplifying the equation , we get
0 + 2 = 1 + 1
2 = 2
So , the solution is ( 0 , 2 )
Hence , the equations are solved
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Find the mean absolute deviation of the set of data.
1, 4, 7, 8, 10
Answer:
2.8
Step-by-step explanation:
Answer:
2.8 is the MAD
6 is the mean