Answer:
1. Angle sum property of a triangle2x + 5x – X^2-9x + 3x² – 2x
7x - 9x - 2x+ 3x^2 - x^2
7x - 11x + 2x^2
2x^2 - 4x
Answer:
Collect like terms.
(2x+5x-9x-2x)-{x}^{11}+3{x}^{2}(2x+5x−9x−2x)−x11+3x2
Simplify.
-4x-{x}^{11}+3{x}^{2}−4x−x11+3x2
Done
Which points represent a solution to the inequality 8x-4y>12
Answer -2
Step-by-step explanation:
What is the value of x in the equation 3x+9/6=x-3
\( \frac{3x + 9}{6} = x - 3 \\ \)
\(3x + 9 = 6(x - 3)\)
\(3x + 9 = 6x - 18\)
\(6x - 3x = 9 + 18\)
\(3x = 27\)
\(x = \frac{27}{3} \\ \)
answer: \(x = 9\)
Greg started to run on a treadmill after setting it’s timer for 98 minutes the display says that he has finished 57% of his run how many minutes have gone by
A total of 55.86 minutes have gone by since Greg started his run on the treadmill.
How many minutes have gone byIf Greg has completed 57% of his run, it means he has 43% of his run remaining.
To find out how many minutes have gone by, we can use proportions.
Let's say x is the total number of minutes Greg needs to complete his run:
x = 57% * 98 minutes
Evaluate
x = minutes
Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.
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How do I calculate probability
3x+15=6x the property of this
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 6x
Solve using inverse operations
3x + 15 = 6x
-3x -3x
15 = 3x
/3 /3
x = 5
Graph the solutions of the given system of linear inequalities.
y < 3x-2
y ≤ x + 1
Answer:
pls upload photo for your question
A number is selected from first 25 natural numbers. What is the probability that it is a multiple of 3
Answer:
multiple of 3 in 25 natural numbers are- 3, 6 , 9 , 12, 15, 18 , 21, 24
So probability is 8/25
Hope u get it.
when do you think collecting standard deviation would be helpful in understanding your data? are there any situations in your major or future degree or life you think that this may be helpful?
It aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.
Although the standard deviation is a frequently used statistic, it rarely receives the attention it merits. Although the mean and median are frequently mentioned in the news, they are rarely accompanied by any indication of how diverse the underlying data set was, so you only get a partial picture. In actuality, you might be overlooking the most captivating aspect of the tale.
What is Standard deviation?
A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.
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PLEASE HELP ME ANSWER THIS!!
Answer:
i think its X=108
Step-by-step explanation:
Answer:
x=118°
Step-by-step explanation:
a straight line is 180°
therefore 180-62=x
Write the following as a radical expression.
7^{\frac{7}{8}}
Answer: $\sqrt[8]{7^7}$
Step-by-step explanation:
trust me and use tutorly.ai
what is 23/11 in decimal form with an explanation
Answer
2.0909090909090909090909090909090909090...
Step-by-step explanation
Please help!!!
If data set A has a larger standard deviation than data set B, data set B is
more spread out thar data set A.
O A. True
O B. False
Answer:
the answer is B.FALSE
Step-by-step explanation:
hope it helps
What is the domain of this relation?
{-3, 3, 5, 9}
{(3,5), (5,16), (-3,5), (9,5)}
{-3, 3, 5, 9, 16}
{5, 16}
Answer:
B :)
Step-by-step explanation:
Answer:
A. {-3, 3, 5, 9}
Step-by-step explanation:
2. What is the value of 9x – 4y if x = 3 and y = 2?
F. 12.
G. 19
H. 93
1. 27
H
Answer:
G. 19 is your answer dear
Step-by-step explanation:
9(3)-4(2)
27-8 = 19
the length and width of a rectangle are measured as 52 cm and 35 cm, respectively, with an error in measurement of at most 0.1 cm in each. use differentials to estimate the maximum error in the calculated area of the rectangle.
The maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.
To estimate the maximum error in the calculated area of the rectangle, we can use differentials. The formula for the area of a rectangle is A = length * width.
Given:
Length (L) = 52 cm (with a maximum error of 0.1 cm)
Width (W) = 35 cm (with a maximum error of 0.1 cm)
We want to find the maximum error in the calculated area (dA) when the length and width have a maximum error of 0.1 cm.
Using differentials, we have:
dA = (∂A/∂L) * dL + (∂A/∂W) * dW
Let's calculate the partial derivatives (∂A/∂L) and (∂A/∂W):
∂A/∂L = W (since the width is constant when differentiating with respect to L)
∂A/∂W = L (since the length is constant when differentiating with respect to W)
Substituting the values:
∂A/∂L = 35 cm
∂A/∂W = 52 cm
Now we can calculate the maximum error in the calculated area (dA) using the given maximum errors in length (dL) and width (dW):
dA = (35 cm * 0.1 cm) + (52 cm * 0.1 cm)
dA = 3.5 cm + 5.2 cm
dA = 8.7 cm
Therefore, the maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.
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Dan Elliott uses online banking. He pays the basic monthly charge, 9 bills, and requests a printed statement. He also has ATM transactions that include 2 out of networks transactions and a cash advance of $200. 0. What are his total fees for the month ?
If Dan Elliott uses inline banking to pay 9 bills , a printed statement , 2 out of network transactions and cash advance of $200 , then the total fees for the month is $221.45 .
The Basic monthly charge for the bank is = $6.95 ;
The cost of 1 bill payment is = $0.50 , and Dan Elliott paid 9 bills ,
So , Cost of 9 Bill payment is = 9 × 0.50 = $4.5 ;
the charge for printing the statement is = $4 ;
The Surcharge for 1 out of network transaction is = $3 , and
Dan Elliott made 2 Out of Network transactions ,
So , Surcharge for 2 Out of Network transactions = $3 × 2 = $6 ;
he also has a cash advance of $200 ;
The Total Fees can be calculated by Adding all the charges that means :
Total Fees = Basic Charge + Bill Payment + Statement + ATM Surcharge + Cash Advance Fees ;
Substituting the values :
we get ;
Total Monthly Fees = $6.95 + $4.5 + $4 + $6 + $200
= $221.45
Therefore , The total fees for the month is $221.45 .
The given question is incomplete , the complete question is
Dan Elliott uses online banking. He pays the basic monthly charge, 9 bills, and requests a printed statement. He also has ATM transactions that include 2 out of networks transactions and a cash advance of $200. 0. What are his total fees for the month ?
The Charges are as follows : Basic Monthly Charge is $6.95 ;
1 bill payment costs $0.50 ; A printed statement costs $4 ;
The Out of network Surcharge is $3 .
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Please answer the both questions in the photos below ( will mark brainliest if available + 20p )
Step-by-step explanation:
\(x = 2\)
consistent dependent
Answer:
1. Consistent dependent
2. x=2
Step-by-step explanation:
A Consistent dependent system of equations has infinite solutions. Anything in the place of x and y makes the equation true.
If f(x)=2x+1 and g(x)=-x+7 are on the same coordinate plane, then x needs to be 2.
Please help!!
I need it
Answer:
4th
Step-by-step explanation:
make me as branalist
(10,4) and (14,2) slope
\(\huge\text{\bf Hey there!}\)
\(\textsf{Slope of: (10,4) (14,2) }\)
\(\mathsf{Formula: m = \dfrac{y_2 - y_1}{x_2- x_1}}\)
\(\textsf{Whereas }\downarrow\)
\(\mathsf{y_2 = 14}\)
\(\mathsf{y_1 = 10}\)
\(\mathsf{x_2 = 2}\)
\(\mathsf{x_1 = 4}\)
\(\huge\boxed{\mathsf{EQUATION: \dfrac{14 - 10}{2 -4 }}}\)
\(\huge\boxed{\mathsf{\rightarrow\dfrac{4}{-2}}}\)
\(\huge\boxed{\mathsf{\rightarrow-2}}\)
\(\huge\boxed{\textsf{Therefore, your answer should be: \boxed{\mathsf{-2}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)Construct a 3×3 matrix A, with nonzero entries, and a vector b in R 3
such that b is not in the set spanned by the columns of A. Choose the correct answer below. A. A= ⎣
⎡
1
2
3
1
2
3
1
2
3
⎦
⎤
and b= ⎣
⎡
4
5
6
⎦
⎤
B. A= ⎣
⎡
1
2
3
1
2
3
1
2
3
⎦
⎤
and b= ⎣
⎡
3
6
9
⎦
⎤
C. A= ⎣
⎡
1
2
3
1
2
4
1
2
5
⎦
⎤
and b= ⎣
⎡
1
2
6
⎦
⎤
D. A= ⎣
⎡
1
2
3
2
1
3
3
1
2
⎦
⎤
and b= ⎣
⎡
3
2
1
⎦
⎤
the correct option is Option A and Option D.
Given, the matrix A= ⎣⎡ 1 2 3 1 2 4 1 2 5 ⎦⎤and vector b = ⎣⎡ 1 2 6 ⎦⎤We have to find whether the given vector is spanned by the columns of A or not.
We can write the matrix A as the combination of its columns. A = [a1, a2, a3] where, a1, a2, a3 are the columns of the matrix. The given vector is not in the span of the columns of A, if it is linearly independent of the columns of A.The linear combination of the columns of A can be written as a1x + a2y + a3z = b
The given vector b can be written as [1 2 6] using the coefficients [4, 1, -1]. We know that a vector is not in the span of the columns of a matrix, if the matrix does not have an inverse.
To check if the matrix has an inverse or not, we can calculate the determinant of the matrix. The determinant of A is given by,D = (1(8 - 5) - 2(5 - 3) + 3(4 - 4))= (1(3) - 2(2) + 3(0)) = -1Since determinant of the matrix A is non-zero, matrix A is invertible. Hence, given vector is in the span of the columns of A. Thus, the option C is incorrect.
Option A and Option D has a determinant equal to zero which shows that it is not invertible. Therefore, the given vector is not spanned by the columns of A.
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If g = X - 9. and if x = 15, what is g?
Answer:
6
Step-by-step explanation:
g = x - 9
x = 15
substitute 15 for x in the first equation
g = 15 - 9
g = 6
Answer:
g = 6
Step-by-step explanation:
g = x - 9
x = 15
g = 15 - 9
g = 6
these are two angles that are formed by two coplanar lines and a transversal. they occupy the same relative positions.
Corresponding angles are two angles that are formed by two coplanar lines and a transversal and they occupy the same relative positions.
What pairs of angles are formed when two parallel lines are cut by a transversal?There are numerous pairs of angles that are created when a transversal cuts any two parallel lines. These angles include consecutive interior angles, alternate interior and exterior angles, and comparable angles.
Which of these pairs of angles is always equal when a transversal cuts two parallel lines?Each set of comparable angles are equal when a transversal cuts two parallel lines.
The angles that occupy the same relative location when a transversal cuts two or more lines are known as corresponding angles. The matching angles are equivalent when the lines are parallel.
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A.Find the values for j and k
B.Write an equation for f(x)
well, let's move like the crab, backwards, let's start with b), then we'll do a)
b)
\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)
\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)
a)
\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)
6) The sum of three consecutive numbers is seventy-eight.
What is the smallest of the three numbers ?
the family
Answer:
Step-by-step explanation:
In my opinion the three consecutive numbers should be 25 26 and 27
25 + 26 + 27 = 78
Answer:
Step-by-step explanation:
x, x+1, x+2
add the three expressions above to get 3x+3
3x+3=78
3x=75
x=25
25 is the smallest number out of the three
Quadrilateral ABCD is inscribed in circle O. If M
Solution
For this case we can use the following equation:
m < A+ m < C= 180 º= m < B + m < D
Then since we know that m < A= 88º we can do this
m < C= 180º- 88º = 92º
then the correct answer is:
92º
if u know lmk pls and ty
Answer:
A) The cat weights 7 kilograms when it is 4 months old.\(-----------\)
hope it helps...
have a great day
I need help with the second problem would you please help understand it??
Answer:
• The radius of convergence is 2.
,• The interval of convergence is (2,6).
Explanation:
Given the series:
\(\sum ^{\infty}_{n=0}(-1)^n\frac{n(x-4)^n}{2^n}\)We can rewrite it in the form below:
\(\sum ^{\infty}_{n=0}\frac{\mleft(-1\mright)^nn(x-4)^n}{2^n}\)We apply the ratio's test to find the radius of convergence:
\(\lim _{n\to\infty}\frac{a_{n+1}}{a_n}=\lim _{n\to\infty}\frac{\frac{(-1)^{n+1}(n+1)(x-4)^{n+1}}{2^{n+1}}}{\frac{(-1)^nn(x-4)^n}{2^n}}\)First, simplify the fraction:
\(\begin{gathered} \frac{\frac{(-1)^{n+1}(n+1)(x-4)^{n+1}}{2^{n+1}}}{\frac{(-1)^nn(x-4)^n}{2^n}}=\frac{(-1)^{n+1}(n+1)(x-4)^{n+1}}{2^{n+1}}\div\frac{(-1)^nn(x-4)^n}{2^n} \\ =\frac{(-1)^{n+1}(n+1)(x-4)^{n+1}}{2^{n+1}}\times\frac{2^n}{(-1)^nn(x-4)^n} \\ =\frac{(-1)^{}(n+1)(x-4)^{}}{2n} \end{gathered}\)Therefore:
\(\begin{gathered} \implies\lim _{n\to\infty}\frac{\frac{(-1)^{n+1}(n+1)(x-4)^{n+1}}{2^{n+1}}}{\frac{(-1)^nn(x-4)^n}{2^n}}=\frac{-(x-4)}{2}\lim _{n\to\infty}\frac{(n+1)^{}}{n} \\ \text{Divide all though by n} \\ =\frac{-(x-4)}{2}\lim _{n\to\infty}\frac{(\frac{n}{n}+\frac{1}{n})^{}}{\frac{n}{n}} \\ =\frac{-(x-4)}{2}\lim _{n\to\infty}(1+\frac{1}{n})where\begin{cases}\lim _{n\to\infty}(1)=1 \\ \lim _{n\to\infty}(\frac{1}{n})=0\end{cases} \\ \text{Therefore, the limit is:} \\ \lim _{n\to\infty}\frac{\frac{(-1)^{n+1}(n+1)(x-4)^{n+1}}{2^{n+1}}}{\frac{(-1)^nn(x-4)^n}{2^n}}=\frac{-(x-4)}{2} \end{gathered}\)In order for the series to converge, we need:
\(\begin{gathered} \lim _{n\to\infty}|\frac{a_{n+1}}{a_n}|<1 \\ \implies|\frac{x-4}{2}|<1 \\ \implies|x-4|<2 \end{gathered}\)The radius of convergence is 2.
\(\begin{gathered} |x-4|<2 \\ -2The interval of convergence is (2,6).BRAINLIEST ASAP!!!
For which interval(s) is the function increasing and decreasing? y=3x^3 -16x+2
Considering the critical points of the function, we have that:
The function is increasing for |x| > 1.63.The function is decreasing for |x| < 1.63.What are the critical points of a function?The critical points of a function are the values of x for which:
\(f^{\prime}(x) = 0\)
In this problem, the function is:
\(f(x) = 3x^3 - 16x + 2\)
The derivative is:
\(f^{\prime}{x} = 6x^2 - 16\)
The critical points are given as follows:
\(6x^2 - 16 = 0\)
\(x^2 = \frac{16}{6}\)
\(x = \pm \sqrt{\frac{16}{6}}\)
\(x = \pm 1.63\)
For x < -1.63, one example of the derivative is:
\(f^{\prime}{-2} = 6(-2)^2 - 16 = 8\)
Positive, hence increasing.
For -1.63 < x < 1.63, one example of the derivative is:
\(f^{\prime}{0} = 6(0)^2 - 16 = -16\)
Negative, hence decreasing.
For x > 1.63, one example of the derivative is:
\(f^{\prime}{2} = 6(2)^2 - 16 = 8\)
Positive, hence increasing.
Hence:
The function is increasing for |x| > 1.63.The function is decreasing for |x| < 1.63.More can be learned about critical points at https://brainly.com/question/2256078
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Geometry, i think my answer is wrong
Answer:
23°
Step-by-step explanation:
mABD is just the angle of B
9x-22 = 6x -7
3x -22 = -7
3x = 15
x = 5
9(5) -22
45-22
23