Which of the following statements follows from (x - 3)2 = 5?
Ox2 + 9 = 5
Ox-3 = 15
OX-3 = +25
Answer:
Option B is correct
Solve for x. Round to the nearest tenth. 29 12
Answer:
29.1
Step-by-step explanation:
29.12 1 stands for tenths and the 2 after the dot stands for hundredth. since the number after the 1is not up to 5 the it cannot round of to 1 so the answer is 29.1
\({1, -1/5, 1/25, -1/125, 1/625,...}\) Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) How is the answer not an= -1/5n + 6/5
-1/5n + 6/5, is not the correct formula for this sequence as it doesn't capture the alternating signs and the geometric nature of the sequence.
The pattern in the sequence is that each term is the previous term multiplied by -1/5. Therefore, we have:
a1 = 1
a2 = -1/5 * 1 = -1/5
a3 = -1/5 * (-1/5) = 1/25
a4 = -1/5 * (1/25) = -1/125
And so on. We can see that the denominator of each term is increasing by a factor of 5 each time, so the general formula for the nth term is:
an = (-1/5)^(n-1)
Now, if we substitute n = 1 into the formula you provided, we get:
an = -1/5(1) + 6/5 = 1
This is not equal to the first term in the sequence, which is 1. Therefore, your formula is not correct.
find the general term of the given sequence. The sequence you provided is:
\({1, -1/5, 1/25, -1/125, 1/625,...}\)
This sequence alternates between positive and negative terms and has a common ratio of -1/5. To find the general term, we can use the geometric sequence formula:
\(a_n = a_1 * r^{n-1}\)
where \(a_n\) is the general term, \(a_1\) is the first term, \(r\) is the common ratio, and \(n\) is the term number.
In this case, \(a_1 = 1\) and \(r = -1/5\). Plugging these values into the formula, we get:
\(a_n = 1 * (-1/5)^{n-1}\)
So, the formula for the general term of the sequence is:
\(a_n = (-1/5)^{n-1}\)
To learn more about denominator visit;
brainly.com/question/7067665
#SPJ11
David had $90 to spend at a sporting good store. he bought the sporting equipment. listed below.
baseball: 8.39
bat: 25.55
mitt: 19.87
what is the best estimate of how much money David has left?
now solve to determine an exact solution.
is your estimate more or less than the actual solution?
please help me with this
Find the length of the segment indicated. Round your answer to thenearest tenth if necessary.1 point18.2x17.1
We can note that the triangle on the right hand side is a right triangle. This implies that we can use Pytagorean theorem to find x, that is,
\(x^2+17.1^2=18.2^2\)which gives
\(x^2+292.41=331.24\)By moving 292.41 to the right hand side, we have
\(\begin{gathered} x^2=331.24-292.41 \\ x^2=38.83 \end{gathered}\)then, x is given by
\(\begin{gathered} x=\sqrt[]{38.83} \\ x=6.23 \end{gathered}\)therefore, by rounding down, the answer is x=6.2 which corresponds to option 2.
Greyson completes a dive from a
cliff 75-feet above a river. It takes
him only 1.5 seconds to hit the
water and then another 0.5
second to descend 10 feet into the river
what’s the x axis and y axis?
Answer: y: height, x: time.
Step-by-step explanation:
The data we have is:
The initial position of Greyson is 75ft above the river.
He needs 1.5 seconds to hit the water, and other 0.5s tho reach the bottom of the river.
Then we have a relationship of height vs time.
The y axis will represent the heigth of Greyson, and the x-axis will represent the time, such that at the time x = 0 seconds, we have y = 75ft
A group of friends wants to go to the amusement park. They have no more
than $325 to spend on parking and admission. Parking is $11, and tickets cost
$39.25 per person, including tax.
Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that:
A group of friends have no more than $325 to spend on parking and admission. Parking is $11Tickets cost $39.25 per person, including tax.Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is
39.25 p + 11 ≤ 325
Solving:
39.25 p ≤ 325 -11
39.25 p ≤ 314
p ≤ 314÷ 39.25
p ≤ 8
Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8
Learn more about inequality:
brainly.com/question/17578702
brainly.com/question/25275758
brainly.com/question/14361489
brainly.com/question/1462764
#SPJ1
for a set x containing n integers, is the mean even? (1) n is even. (2) all of the integers in set x are even.
Neither statement (1) nor statement (2) alone is sufficient to determine whether the mean of the set x is even.
To determine whether the mean of a set containing n integers is even, we need to consider the given statements:
Statement (1): n is even.
Statement (2): All of the integers in set x are even.
Let's analyze each statement:
Statement (1): If n is even, it means that the number of integers in the set x is even. However, this does not provide any information about the individual integers or their parity (even or odd). Therefore, statement (1) alone is not sufficient to determine whether the mean of the set x is even.
Statement (2): If all the integers in set x are even, then the sum of these integers will be even since the sum of even numbers is always even. However, this does not directly imply that the mean of the set x is even. The mean is calculated by dividing the sum of the numbers by the number of elements in the set.
Without knowing the value of n (the number of elements in the set), we cannot definitively determine the parity of the mean. Therefore, statement (2) alone is not sufficient to determine whether the mean of the set x is even.
Combining both statements: Even though statement (1) tells us that the number of integers in the set x is even, and statement (2) indicates that all the integers in set x are even, we still cannot determine with certainty whether the mean of the set x is even. We need additional information about the specific values of the integers in the set x to determine the parity of the mean.
Learn more about mean here:
https://brainly.com/question/31101410
#SPJ11
-14 = x - 12 PLS help ASAP and show checked solution
Answer:
The correct answer is x = -2.
Step-by-step explanation:
To solve this equation, we must remember that it is our end goal to get the variable x alone on one side of the equation.
To do this, our first step should be to add 12 to both sides of the equation to cancel the -12 on the right side. This is modeled below:
-14 + 12 = x - 12 + 12
If we add together the like terms to simplify, we get:
-2 =x
This is our answer. To check that our answer is correct, we can plug in the value we obtained for x back into the original equation.
-14 = x - 12
-14 = -2 - 12
-14 = -14
Since plugging in our value for x yielded a true statement, we can conclude that our answer is correct.
Hope this helps!
Only need answer A answered please
HEY MATE HERE IS UR ANSWER
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
FOLLOW ME AND MARK AS BRAINLIEST AND CHAT INBOX
An isosceles triangle has legs that are each `x` inches long and a base that is `y` inches long. The perimeter of this triangle is 38 inches. The base is 8 inches shorter than the length of a leg.
How long are the sides of the triangle?
Answer:
15.333 inches
Step-by-step explanation:
First find the value of “y" which is the base and it is 8 inches shorter than the length legs of the triangle.
y = x - 8
Then substitute the values in the formula for the perimeter of an isosceles triangle.
Perimeter = 2 (L) + b
38 = 2 (x) + x - 8
38 = 2x + x - 8
38 = 3x - 8
38 + 8 = 3x
3x = 46
x = 15.333 inches
x is the length of the triangle and it's actual value is 15.333 inches
how would you solve this equation?
Answer:
19,188
Step-by-step explanation:
hope this helps ;)
Which equation is in slope-intercept form and represents a line with slope 0 through the point (2, 3)?
a) y = x + 3
b) y = 3
c) y = x + 2
d) x = 2
Answer:
The correct answer is
b) y = 3
to factorize the following algebraic expression: 3x² + 6x + 4x + 8 Provide a three-step guide on how to factorize the expression.
Answer:
Check below:
Step-by-step explanation:
To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:
Step 1: Grouping
Group the terms in pairs so that you can factor out a common factor from each pair.
3x² + 6x + 4x + 8
(3x² + 6x) + (4x + 8)
Step 2: Factoring out the common factors
Factor out the common factors from each pair separately.
3x(x + 2) + 4(x + 2)
Step 3: Factoring out the common factor from the resulting expression
Notice that we have a common factor, (x + 2), in both terms.
(x + 2)(3x + 4)
Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).
Mark me brainliest!
Sabia and arlan bougth 45 book for r 30 each old all ok them at the rote of 24 find the different the money pent and return
If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,
Rs 30 = 45 book
Rs 30 = 45
Rs 1 = 45 / 30
Rs 24 = 3/2 × 24
Rs 24 = 34 books
Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answer:
Answer:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
Step-by-step explanation:
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
Citrus County's assets have an average duration of 8 and a market value of $1 million. The market interest rate is 5%. Use the duration formula to estimate the market value if the interest rate changes to 4%. 1,055,284 1,097.331
The estimated market value of Citrus County's assets, with an average duration of 8 and a market value of $1 million, would be approximately $1,055,284 if the interest rate changes to 4%.
In this case, the assets have an average duration of 8. When the interest rate changes from 5% to 4%, the change in interest rates is 1%. By applying the duration formula, the estimated percentage change in the market value of the assets would be approximately -8% (negative duration multiplied by the change in interest rates).
To calculate the estimated market value, we need to multiply the estimated percentage change (-8%) by the current market value ($1 million) and add it to the current market value. Thus, the estimated market value would be approximately $1,055,284 (1,000,000 + (1,000,000 * -8%)).
Duration is a measure of the sensitivity of an asset's price to changes in interest rates. It provides an estimate of the percentage change in the market value of an asset for a given change in interest rates. The duration formula states that the percentage change in the market value of an asset is approximately equal to the negative duration multiplied by the change in interest rates.
to learn more about market value click here:
brainly.com/question/28320555
#SPJ11
Consider the following:Step 2 of 2: Identify the coordinates of the points A and B on the graph.
Identify the coordinates of the points A and B on the graph:
The attached graph will be used to identify the cordinates
Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate)
points A = (x,y)
\(\begin{gathered} A=(x,y)\longrightarrow(-7,-1) \\ \end{gathered}\)points B = (x,y)
\(B=(x,y)\longrightarrow(-1,-7)\)Therefore the coordinates of point A and B are
\(undefined\)5) A manufacturer produces paperweights composed of two congruent triangles as shown.
The length of the hypotenuse is
A. 6
B. 8
C. 10
The total length of the base of the paperweight is
A. 6
B. 8
C. 10
Answer:
Step-by-step explanation:
Since, both the triangles of the paperweight are congruent,
Their corresponding sides will be congruent.
3x + 2.5 = 4
3x = 4 - 2.5
x = 0.5
Similarly, 2y - 5 = 3x + y
2y - y = 3x + 5
y = 3x + 5
y = 3(0.5) + 5
y = 1.5 + 5
y = 6.5
Total length of the hypotenuse = 2y - 5
= 2(6.5) - 5
= 13 - 5
= 8
Option B is the answer.
Total length of the base = (3x + 2.5) + 4
= 3x + 6.5
= 3(0.5) + 6.5
= 8
Option B is the answer.
Show that if n is a positive integer, then ∑ {a1,...,ak }⊆{1,2,...,n} 1 a1a2 · · · ak = n
The polynomial expansion evaluates to n for x = 1, we can conclude that the sum of the reciprocals of all these products is also equal to n.
The sum of the reciprocals of all products of k distinct positive integers (a1, a2,..., ak) is denoted by the expression "a1,...,ak," where each ai is selected from the set "1,2,...,n."
To show that this aggregate equivalents n, we can consider the polynomial extension of (1 + x)(1 + x^2)(1 + x^3)...(1 + x^n). Each term in this extension addresses a result of unmistakable powers of x, going from 0 to n.
Presently, assuming we assess this polynomial at x = 1, each term becomes 1, and we acquire the amount of all results of k unmistakable positive numbers, where every whole number is browsed the set {1,2,...,n}.
Since the polynomial development assesses to n for x = 1, we can infer that the amount of the reciprocals of this multitude of items is likewise equivalent to n.
To know more about polynomial refer to
https://brainly.com/question/11536910
#SPJ11
Say whether the given function has limit at the point (0,0). If the limit exists, then find it. (a) f(x, y) = 5ry² 3x² + y² (Hint: the parabola z = - y²); (b) f2(x, y) = Vel+V sin(y). (Hint: [√x + √] × [√ √U] ...). [2,3]
(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).
(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).
(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.
Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).
To learn more about “variable” refer to the https://brainly.com/question/28248724
#SPJ11
The mean of first ten natural numbers is
a) 55 b) 5.5 c) 6.5 d) 65
Step by step explanation
The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
Their sum is 55 .
Their mean (average) is (55/10).
That's 5.5 . (Choice b).
What is an advantage of using credit? A. you don't have to pay in full immediately B. you can go into debt c. finance charges D. interest charges
Answer:
intereejejdjjdjdkksusubebdķķdjd
Answer:
A
Step-by-step explanation:
Credit is literally just a loan. They trust you to pay the money back
a fish is reeled in at a rate of foot per second from a point feet above the water (see figure). at what rate is the angle between the line and the water changing when there is a total of feet of line from the end of the rod to the water?
(-10/252) x (1/0.9165) = 0.0175 rad/sec is the equation for theta/dt.
Angle theta in the displayed figure can be expressed as
Theta sin = 10/sin
The angle will change at the following rate:
(-10/x2)(dx/dt) = cos theta(theta/dt)
Now, when x equals 25 feet, we require d theta/dt.
The fishing line is reeled in at a rate of
dx/dt = -1 ft/sec.
Now, if x equals 25, then Cosine equals
[ (x2-100)]
Cosine equals [ (252-100)]/25 = 0.9165So,
(-10/x2)(dx/DT)(1/cos theta) = theta/DT
The formula for theta/it is (-10/252)x(1/0.9165) = 0.0175 rad/sec.
Learn more about differentiation https://brainly.com/question/24896856?referrer=searchResults
#SPJ4
Sin y+ cos y + tan y sin y=sec y+ cos y tan y?
Answer:
sec y
Step-by-step explanation:z
1+1=?
a. 0
b. 1
c. 3
d. 2
i need a good explanation!!!
Answer:
d.2
Step-by-step explanation:
because if you have 1 blue bead then ur friend gives you another blue bead that makes 2 blue beads.
hope this helps
How to transfer this mathematical program to the regular mathematical program which can be solved by Simplex method? max∑jcjxj∑jaijxj≤bj
The given mathematical program can be transformed into a regular linear programming problem that can be solved using the Simplex method. The objective is to maximize the summation of cj * xj, subject to the constraint ∑aij * xj ≤ bj for each row j.
To convert this into the standard form, we introduce non-negative slack variables, denoted as sj, for each constraint. The constraints then become ∑aij * xj + sj = bj, where sj ≥ 0. This ensures that all the constraints are expressed as equations rather than inequalities.
Next, we rewrite the objective function as a maximization problem by introducing non-negative surplus variables, denoted as yj, for each decision variable xj. The objective function is transformed into max ∑cj * xj - ∑Mj * yj, where Mj is a large positive constant.
By introducing the slack variables and surplus variables, we convert the original mathematical program into a standard linear programming problem that can be solved using the Simplex method. The objective is to maximize the transformed objective function, subject to the constraints in the form of equations. The Simplex method can then be applied to find the optimal solution.
Learn more about slack variables here:
https://brainly.com/question/31975692
#SPJ11
QUICK whoever gives correct answer will get brainliest please and thank you.
Answer:
D. (The one with a graph and line)
You can use the vertical line test.
In a bag of Starbursts, 30% of the candy is pink. There are 90 pink Starbursts in the bag. How many TOTAL Starbursts are in the bag?
Answer:
About 304.
Step-by-step explanat:
.=10 9/30=0.3. . . . . . . . .= 30% + 0.3. . . . . . . . .=60% 0.3. . . . . . . . .=90% = 0.9. . . 1/3 of . = 100% +0.1 1 1/3 x 3/10= 0.1an equation of a number and 25 equals to the sum of 141 and 159 divided by 2
Answer:
25 = 141 + 159/2
Step-by-step explanation: