Answer: 11 and 8 or 10 and 9
Step-by-step explanation:
sorry if I'm wrong but i'm trying
Starting at sea level, a turtle descends at a constant rate to a depth of -yard relative to sea level in minute.
The turtle continues descending at this same rate.
What is the turtle's depth relative to sea level after the first minute?
Enter your answer as a simplified mixed number in the box
The turtle's depth relative to sea level after the first minute is 1.2 yards.
Given,
The depth where the turtle descends, d = -3/4 yards
The speed of turtle relative to sea level, t = 5/8 minutes.
We have to find the turtle's depth relative to sea level after the first minute.
The rate at which the turtle descends, r = d/t
r = d/t
r = (-3/4) / (5/8)
r = -3/4 × 8/5
r = -6/5 yards/minute
r = -1.2 yards/min
Now, the depth of turtle after the one minute, D = rt
Where, r = -1.2 yards/min and t = 1 min
Then,
D = -1.2 × 1 = -1.2 yards
That is,
The turtle's depth relative to sea level after the first minute is 1.2 yards
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Moussa owns a small business selling clothing. He knows that in the last week 92 customers paid cash, 5 customers used a debit card, and 25 customers used a credit card.
If next week, he is expecting 1600 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.
Answer:
1207
Step-by-step explanation:
Total number of customers last week: 92 + 5 + 25 = 122
Number of customers who paid cash: 92
Percent of customers who paid cash last week: 92/122 × 100% = 75.4%
Next week:
Total number of customers: 1600
Expected number of customers paying cash:
75.4% of 1600 = 0.754 × 1600 = 1207
in an experiment, the post-test measures: question 10 options: a) the dependent variable b) the independent variable c) the experimental group d) the control group
The post-test measures the dependent variable.
In an experiment, the post-test measures refer to the data collected after the intervention or treatment has been given to the participants. Question 10 options may include choices related to the variables and groups involved in the experiment. Option a) the dependent variable is the variable being measured and is often affected by the independent variable. Option b) the independent variable is the variable being manipulated by the researcher to see its effect on the dependent variable. Option c) the experimental group is the group that receives the treatment or intervention, and option d) the control group is the group that does not receive the treatment or intervention and is used as a comparison to the experimental group. The question 10 options can help researchers determine the effects of the content loaded in an experiment on the variables and groups involved.
In an experiment, the post-test measures:
Question 10 options:
a) the dependent variable
Your answer: The post-test measures the dependent variable. This is because the dependent variable is the outcome that researchers are interested in measuring, and the post-test is conducted after the experiment to assess the effects of the independent variable on the dependent variable.
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Which of (I)-(V) are antiderivatives of f (x) = Assume that x > 0. 1. Inx III. lnx + In 3 IV. In (2x) v. In (x + 1) O
Antiderivatives are the inverse operation of derivatives. They can be found by adding a constant of integration to the function being integrated.
To determine which of (I)-(V) are antiderivatives of f(x) = ln(x), we need to take the derivative of each option and check if it matches f(x). To determine which of the given options are antiderivatives of f(x), we should consider the derivatives of the options and compare them to f(x). Recall that x > 0.
The derivative of option I (1/x) does not match f(x), so it is not an antiderivative.
The derivative of option III ((1/x) + (1/3)) matches f(x), so it is an antiderivative.
The derivative of option IV (1/x) does not match f(x), so it is not an antiderivative.
The derivative of option V (1/(x+1)) matches f(x), so it is also an antiderivative.
Therefore, options III and V are antiderivatives of f(x) = ln(x).
To determine which of the given options are antiderivatives of f(x), we should consider the derivatives of the options and compare them to f(x). Recall that x > 0.
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Highschool students were surveyed about which math and science
Answer:
Starting with Algebra going down is 73%, 70%, 72%
Geometry going down is 27%, 30%, 28%
Totals going down 100%, 100%, 100%
(LOL)
Hope that was helpful.Thank you!!!
Step-by-step explanation:
identify the graph of -2i
need help asap
Answer:
yea
Step-by-step explanation:
6. [-13 Points) DETAILS ZILLDIFFEQMODAP11M 7.4.013. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + 9y = f(t), y
Using the Laplace transform, the solution of the given differential equation isy(t) = f(t) sin(3t) / 3.
The given differential equation is: y" + 9y = f(t), y, with the initial values asy(0) = 0, y'(0) = 0.This equation can be solved using the Laplace transform. The Laplace transform of the given differential equation is L[y" + 9y] = L[f(t)]
Taking the Laplace transform of y" + 9y, we get: L[y"] + 9L[y] = L[f(t)]The Laplace transform of the first derivative, L[y'], is sY(s) - y(0). The Laplace transform of the second derivative, L[y"], is s²Y(s) - sy(0) - y'(0).Therefore, the Laplace transform of y" + 9y is s²Y(s) - sy(0) - y'(0) + 9Y(s).
Replacing these values, we get:s²Y(s) - 0 - 0 + 9Y(s) = L[f(t)]s²Y(s) + 9Y(s) = L[f(t)]Taking Y(s) common, we get: Y(s) [s² + 9] = L[f(t)]Dividing both sides by (s² + 9), we get: Y(s) = L[f(t)] / (s² + 9)
We can see that the Laplace transform of the given differential equation is Y(s) = L[f(t)] / (s² + 9).
Now we need to find the inverse Laplace transform of Y(s). To do that, we need to look up the Laplace transform table. We can see that the inverse Laplace transform of L[f(t)] / (s² + 9) is f(t) sin(3t) / 3Therefore, the solution of the given differential equation isy(t) = f(t) sin(3t) / 3.
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the area of a rectangle is (x3 – 5x2 3x – 15), and the width of the rectangle is (x2 3). if area
The length of rectangle is (x - 5).
We are given-
Area of rectangle = \(x^{3} - 5x^{2} + 3x - 15\)
Width of rectangle = \(x^{2} + 3\)
Using the formula, the length will be calculated by rewriting the formula as -
Length = Area/width
Keep the values in formula to find the length of rectangle.
Length = \(\frac{x^{3} - 5x^{2} + 3x - 15}{x^{2} + 3}\)
In numerator, separating the common values and rewriting the equation -
Length = \(\frac{x^{2} (x - 5) +3 (x - 5)}{x^{2} + 3}\)
Rewriting the equation to for ease of solving to find the length of rectangle -
Length = \(\frac{(x^{2} +3)(x - 5)}{(x^{2} +3)}\)
Cancelling \((x^{2} + 3)\) as it is common in both numerator and denominator. Now, we will get the value of length of rectangle.
Length = (x - 5)
Hence, the length of rectangle is (x - 5).
The complete question is -
The area of a rectangle is \(x^{3} - 5x^{2} + 3x - 15\), and the width of the rectangle is \(x^{2} + 3\). If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5
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What form of heat transfer do you think is the most important? Give at least two reasons why. This is an opinion question so there is no wrong answer. Conduction Convection Radiation
Answer:
radiation
Step-by-step explanation:
The energy budget of the Earth is dominated by radiation from the Sun. Without it, there would be no life on Earth.
Radiation is also an important contributor to night-day temperature differences and the weather they cause.
12 is 90% of what number?
with steps
Answer:
Let's understand the concept:-Here 12 is 90% of a number. So we can say that 90% of That number is 12 .In this way we can get the the number Solution:-Let,
the number=x
According to the question ,\({:}\longrightarrow\)\(\sf 90\% \:of \;x=12 \)
We know 90%=90/100so add it\({:}\longrightarrow\)\(\sf {\dfrac {90}{100}}\times x=12 \)
\({:}\longrightarrow\)\(\sf {\dfrac {90x}{100}}=12 \)
Now use cross multiplication method\({:}\longrightarrow\)\(\sf 90x=12\times 100 \)
\({:}\longrightarrow\)\(\sf 90x=1200 \)
Now interchange sides .\({:}\longrightarrow\)\(\sf x={\dfrac {1200}{90}}\)
\({:}\longrightarrow\)\(\sf x={\dfrac {200}{15}}\)
Answer will come in decimals so we take approximate value.\({:}\longrightarrow\)\(\sf x=13.3 \)
\({:}\longrightarrow\)\(\sf x=approximately \:13\)
\(\therefore\)The number is 13.
mary has 16 forks and 12 knives to place in silverware holders at the fast food restaurant where she works. she wants to distribute them equally, with no forks or knives left over. what is the greatest number of silverware holders mary can stock?
The greatest number of silverware holders Mary can stock is 4, each containing 4 forks and 3 knives so that no fork or knife is left over and are distributed equally.
What is distribution?
When a quantity is to be distributed equally into a certain number of groups, we divide the quantity by the number of groups.
Equating number of silverware stocks :Given: 16 Forks and 12 knives
To find: number of silverware stocks = ?
As we know that the knives and forks should be distributed equally in each silverware holder, 4 forks and 3 knives will go into each of the silverware holder.
Now, we need number of silverware holders each having same number of forks and knives.
4 forks×4 = 16
3 knives× 4 = 12
∴ Number of silverware holders Mary requires to distribute knives and forks equally with no left over is 4.
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What must be added to x² - 2xa to make it a perfect square?
Answer:
we need to add \(a^{2}\) to make it a perfect square.
Step-by-step explanation:
since we know
\(a^{2}+b^{2}-2ab=(a-b)^{2}\)
then after compairing it with x² - 2xa
we have;
missing term as \(a^{2}\)
hence we need to add \(a^{2}\) to make it a perfect square.
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Choose the option(s) that correctly complete each statement.
If two___ intersect, then their intersection is a ____
Space contains at least ____ points not all in one ____
Through any ____ different points, exactly one ____ exists.
Through any _____ points that are not on one line, exactly one ____ exists.
1. if two planes intersect, then their intersection is a line
2. Space contains at least four points not all on one plane.
3. Through any two different points, exactly one line exists
i dont under stand number 4 but ur welcome
Which equation matches the graph?
PLEASE HELP MEEEE
Answer: Y = 3x - 2
Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2
I hope this helps, and Happy Holidays! :)
can anyone help please !
Answer:
See pictures below
Step-by-step explanation:
Desmos is a free graphing calculator. Draw the line of the equation and then < will be everything below the line and > will be everything above the line. The portion that is shaded by both colors is the answer.
y = mx + b
The "b" part of the equation tells you the point that the graph crosses the y axis.
The "m" part is the slope. The rise over the run.
state where in the ty plane the hypothesis of theorem are satisfied
The ty plane the hypothesis of theorem are satisfied
The hypothesis of a theorem is a statement or assumption that is made in order to prove a mathematical result.
The hypothesis of the Tychonoff theorem is satisfied in a variety of different spaces, including compact spaces and metrizable spaces.
This theorem is important because it provides a useful tool for understanding the properties of topological spaces, which are spaces that have certain structures that allow for the study of continuous functions and mappings.
In summary, the hypothesis of the Tychonoff theorem is a necessary condition for the theorem to be proven and is satisfied in a variety of different spaces.
Understanding the hypothesis and the spaces in which it is satisfied is crucial for understanding the theorem and its applications in mathematics.
Complete Question:
State where in the ty-plane the hypotheses of Theorem
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Suppose that f(1) = 4, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. Find the value of ∫xf ''(x) dx.
The value of ∫xf ''(x) dx is 12.
We can use integration by parts to find the value of the given integral. Let's assume F(x) is the antiderivative of f ''(x), which means F'(x) = f ''(x). Applying integration by parts, we have:
∫xf ''(x) dx = xF'(x) - ∫F(x) dx
Integrating F(x) with respect to x gives us ∫F(x) dx = ∫f ''(x) dx = f '(x) + C, where C is a constant of integration. Now, let's evaluate the integral:
∫xf ''(x) dx = xF'(x) - ∫F(x) dx = xF'(x) - f '(x) - C
To find the value of the integral, we need to evaluate the expression at the limits of integration. Given that f(1) = 4 and f '(1) = 3, we can substitute these values into the expression:
∫xf ''(x) dx = [xF'(x) - f '(x)] from 1 to 4
Evaluating this expression at x = 4 and x = 1, we get:
∫xf ''(x) dx = [4F'(4) - f '(4)] - [1F'(1) - f '(1)]
Substituting f '(1) = 3, f '(4) = 3, and simplifying the expression, we find:
∫xf ''(x) dx = [4F'(4) - 3] - [1F'(1) - 3] = 12
Therefore, the value of ∫xf ''(x) dx is 12.
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when solving proportions, we set the cross products equal and then we _____________.
When solving proportions, we set the cross products equal, and then we solve for the unknown variable.
When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.
For example, consider the proportion: a/b = c/d
To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:
a * d = b * c
This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.
By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.
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Entering Numerical Answers This question asks for a number answer. Acceptable answers include whole numbers, integers (negative numbers), and decimal values. (These questions will normally require you to do calculations by hand or with a computer before you enter a final answer.) In special cases, you may need to enter DNE for "Does not exist", oo for infinity, or -oo for negative infinity. If your answer is not an exact value, you'll want to enter at least 3 decimal places unless the problem specifies otherwise Try it out Enter the number 41.2751 below exactly (no rounding) Enter the number 41.2751 rounded to the nearest hundredth (two decimal places) Enter the result of 41.2751 0
The number 41.2751 entered exactly (no rounding) is 41.2751. The number 41.2751 rounded to the nearest hundredth (two decimal places) is 41.28. The result of 41.2751 multiplied by 0 is 0.
In the first case, when the number 41.2751 is entered exactly without rounding, the value remains as 41.2751. This means that no rounding or approximation has been made, and the number is presented in its precise form.
In the second case, when the number 41.2751 is rounded to the nearest hundredth (two decimal places), it becomes 41.28. Rounding to the nearest hundredth means considering the digit in the thousandth place (5) and rounding up if it is 5 or greater. Since the digit is 5, the preceding digit (7) is rounded up to 8, resulting in 41.28.
Finally, when the number 41.2751 is multiplied by 0, the result is 0. Any number multiplied by 0 equals 0, as any quantity multiplied by zero will always result in zero. Therefore, the product of 41.2751 and 0 is 0.
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Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N(,) and Yis N(4,²). Given that the sample number of X and Y are n=m=25, and X = 33.8, S=3.9,Y=32.5, S=5.1. Use these observations to give a level a=0.05 test for H₁:μx = μy VS Hoxy. Give the p-value of this test. (10 pts)
To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.
The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.
Using this information, we can calculate the test statistic, which is given by:
t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))
Plugging in the values, we get:
t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))
Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).
Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.
Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.
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Let X={a,b,c,d}. What is {A:A∈P(X) and ∣A∣=2} ?
{{a,b},{a,c},{a,d},{b,a},{b,c},{b,d},{c,a},{c,b},{c,d},{a},{b},{c},{d}}
{{a,c},{a,d},{b,c},{b,d},{c,a},{c,b},{c,d}}
{{a,b},{a,c},{a,d},{b,c},{b,d},{c,d}}
{{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a},{b},{c},{d}}
The set {A:A∈P(X) and ∣A∣=2} consists of all possible subsets of X that have exactly two elements. There are several such subsets: {{a,b},{a,c},{a,d},{b,a},{b,c},{b,d},{c,a},{c,b},{c,d}}.
In set theory, P(X) represents the power set of X, which is the set of all possible subsets of X, including the empty set and X itself. In this case, X={a,b,c,d}, so P(X) contains subsets like {}, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,c}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, and {a,b,c,d}.
The condition ∣A∣=2 specifies that we are interested in subsets of X that have exactly two elements. To find such subsets, we look for all combinations of two distinct elements from X. For example, {a,b} represents a subset of X with elements 'a' and 'b', and {a,c} represents a subset with elements 'a' and 'c'. By considering all possible combinations, we generate the set {{a,b},{a,c},{a,d},{b,a},{b,c},{b,d},{c,a},{c,b},{c,d}} as the solution.
This set contains all the distinct subsets of X with exactly two elements. Each subset is represented by a pair of elements from X. Note that the order of the elements in the subsets does not matter, so {a,b} is equivalent to {b,a}. The subsets that contain the same elements but in different orders are considered the same subset.
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if f(x)=4x^2-3 and g9x)=x+1, find (f-g)(x)
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
the same applies to all other basic operations (like addition, multiplication, ...).
so,
(f-g)(x) = 4x² - 3 - (x + 1) = 4x² - 3 - x - 1 = 4x² - x - 4
-2x + 11 – 5x = 5 – 6x
Solve this equation
x = 6
Step-by-step explanation:
\(2x + 11 - 5x = 5 - 6x\)
Collect like terms and simplify
\( - 2x - 5x + 6x = 5 - 11 \\ - x = - 6\)
Divide through by -1 to reverse the inequality
\(x = 6\)
What is the value of x if the perimeter is 42cm
The carousel at an amusement park has 20 horses spaced evenly around its circumference. The horses are numbered consecutively from 1 to 20. The carousel completes one rotation about its axis every 40 seconds.
a. What is the central angle, in degrees, formed by horse #1 and horse #8?
b. What is the speed of the carousel in rotations per minute?
c. What is the speed of the carousel in radians per minute?
d. A child rides the carousel for 6 minutes. Through how many radians will the child pass in the course of the carousel ride?
The child passes through 18π radians in the course of the carousel ride.
To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.
Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.
Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.
To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.
6 minutes is equal to 360 seconds,
so the child passes through π/20 x 360 = 18π radians during the ride.
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Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
T=
U=
V=
W=
The coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
T'(-8, -4) , U'(-8, -6) , V'(-3, -9) , W'(-3, -7)
When a point P(x, y) is rotated 270° counterclockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point P(x, y) after a rotation 270° counterclockwise around the origin is:
P(x, y) → P'(y, -x)
From the Graph,
In our case, we have the points
T = (4, -8)
U = (6, -8)
V = (9, -3)
W = (7, -3)
Thus, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
P(x, y) → P'(y, -x)
T (4, -8) → T'(-8, -4)
U (6, -8) → U'(-8, -6)
V (9, -3) → V'(-3, -9)
W (7, -3) → W'(-3, -7)
Therefore, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:
T'(-8, -4) , U'(-8, -6) , V'(-3, -9) , W'(-3, -7)
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Identify the transformations of the graph of f(x) = x^2 that result in the graph of g shown. What rule, in vertex form, can you write for g(x)?
A vertical translation (5 units up) is applied on quadratic function f(x) = x².
What kind of rigid transformation can be used to obtain an image of the quadratic function?
In this problem we find the representation of quadratic function and its image on Cartesian plane. The image is the consequence of using a vertical translation, whose definition is now introduced:
g(x) = f(x) + k
Where k is the y-coordinate of the quadratic function.
If we know that f(x) = x² and k = 5, then the image of the function is:
g(x) = x² + 5
The image is the result of a vertical translation (5 units up).
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Find the HCF of terms and factorise: 20x3 – 40x2 + 80x
Answer:
The largest factor that can be pulled out of that expression is 20x, giving you 20x(x² - 2x + 4)
Step-by-step explanation:
20x³ - 40x² + 80x
= 20x(x² - 2x + 4)
find a formula an for the -n- th term of the following sequence. assume the series begins at =1.n=1. 11,−14,19,…
a formula an for the -n- th term of the following sequence. assume the series begins can be represented by the formula an = (-1)^(n+1)(8 + 3n).
To find the formula for the -n- th term of the sequence, we need to observe the pattern in the given sequence. We can see that the sequence is alternating between positive and negative numbers, and the difference between the consecutive terms is increasing by 5.
Starting from the first term, 11, we can write the sequence as:
11 - 14 + 19 - 24 + ...
To find the pattern, we can write the terms in terms of their positions:
a1 = 11
a2 = -14
a3 = 19
a4 = -24
We can see that the sign of each term is alternating. To represent this in the formula, we can use (-1)^(n+1), which will give -1 for odd values of n and 1 for even values of n.
The other part of the formula should represent the increasing difference between the consecutive terms. We can see that the difference between the first two terms is 25, between the second and third terms is 33, and between the third and fourth terms is 43. We can observe that the difference between the consecutive terms is increasing by 8, which is 5 times the position of the term.
Therefore, the formula for the -n- th term of the sequence is:
an = (-1)^(n+1)(8 + 3n)
The formula for the -n- th term of the given sequence is an = (-1)^(n+1)(8 + 3n).
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2. ¿Cuál es el valor de X en la siguiente ecuación?
X – 56 = 135
A. 79
B. 191
C. 270
D. N/A