Answer:
See attached
Step-by-step explanation:
The answer filled in the paper, refer to attachment
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Complete the recursive formula of the geometric sequence 56\,,-28\,,\,14\,,-7,...56,−28,14,−7,...56, comma, minus, 28, comma, 14, comma, minus, 7, comma, point, point, point. d(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals d(n)=d(n-1)\cdotd(n)=d(n−1)⋅d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, dot
Answer:
Step-by-step explanation:
\(r=\frac{-28}{56}=-\frac{1}{2}\\a_{n}=\frac{-1}{2}a_{n-1}\)
The recursive formula for the sequence is aₙ = (-1/2) * aₙ₋₁
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The standard equation for geometric series is
Tₙ = a₁ rⁿ⁻¹
The formula above represents the explicit formula to determine the nth term of the sequence.
The recursive formula is used to determine the nth term when (n-1) th term is given.
The geometric sequence is,
56, -28, 14, -7,.................
The first term of the sequence is 56
The common ratio is determined by taking the ratio of the second term to the first term.
r = -28/56 = -1/2
The recursive formula is represented by,
aₙ = r * aₙ₋₁
aₙ = (-1/2) * aₙ₋₁
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gustavo ronaldo says, if you subtract 11 from my number and multiply the difference by -3, the result is -51 . what is s number?
Answer:
28
Step-by-step explanation:
-3 * (x-11) = -51
x-11 = 17
x = 28
Use the image to determine the type of transformation shown.
Graph of polygon VWXYZ with W at point 2 comma 4. A second polygon V prime W prime X prime Y prime Z prime with W prime at point negative 2 comma 4.
Reflection across the x-axis
Reflection across the y-axis
270° counterclockwise rotation
Horizontal translation
The image is reflected over the y-axis. Then the correct option is B.
Given that:
Point of the polygon VWXYZ, W(2, 4)
Point of the polygon V'W'X'Y'Z', W'(-2, 4)
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The point W' can be obtained by reflecting the shape across the y-axis.
Thus, the correct option is B.
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The missing diagram is given below.
cual es el opuesto inverso aditivo de 0
Answer:
14 por qué yo ya lo avía respondido
Step-by-step explanation:
5 estrellas:3
train A arrives at the station at 11:50 Am and leaves the station at 1:50 PM.how long does it stay in the station?
Answer:
2 hrs.
Step-by-step explanation:
11:50am ----> 12:50pm (1 hr.)
+
12:50pm ---> 1:50pm (1 hr.)
= 2 hrs
Simplify (2a^3a^4)^5. Show all work
Answer:
(2a^3a^4)^5 simplifies to 32a^35.
Step-by-step explanation:
To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:
(2a^3a^4)^5 = 2^5 * (a^3a^4)^5
Next, we can simplify the expression inside the parentheses by multiplying the exponents:
a^3a^4 = a^(3+4) = a^7
Substituting this into our expression, we get:
(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35
Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:
2^5 * a^35 = 32a^35
Therefore, (2a^3a^4)^5 simplifies to 32a^35.
find the measure of angle b
Answer:
I think its 53. mb if its wrong
¿Cuánto es el interés simple de $800.00 al 3.5 % durante un año?
Answer:
$28
Step-by-step explanation:
given that
The Principal amount is $800
The rate of interest is 3.5%
And, the time period is one year
we need to find out the simple interest
As we know that
Simple interest = Principal × rate × time period
= $800 × 3.5% × 1 year
= $28
hence, the simple interest is $28
unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
\(\lim_{x \to +\infty} (\frac{x^{2}-3x-1 }{x^{2} -4x+2} )^{\frac{x}{2} }\)
Step-by-step explanation:
I know but I m feeling bore
Find the unit rate.
16 = 12
The equation has a unit rate of 3/4
How to determine the unit rate?From the question, we have the following parameters
16y = 12x
The above equation is a linear equation
In fact, it is a linear equation that shows a proportional relationship
Note that all linear equations have a constant rate of change
So, the proportional relationship is given as
16y = 12x
Make y the subject
y = 12/16x
This gives
y = 3/4x
As a general rule
A proportional relationship is represented as y = kx
Where k represents the unit rate
So, we have the following representation
y = 3/4x and y = kx
By comparing the equations
k = 3/4
Hence, the unit rate of the equation is 3/4
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Possible question
Find the unit rate.
16y = 12x
Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.
Question 8 options:
A)
6.397
B)
1.766
C)
5.991
D)
5.298
The value of the expression is 1.766.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given the expression,
2\(e^{3x}\) = 400
divide by 2 into both sides
\(e^{3x}\) = 400/2
\(e^{3x}\) = 200
converting the expression in form of a log,
ln(\(e^{3x}\))= ln(200)
log(aⁿ) = n log(a)
3x ln(e) = ln(200) [ln(e) = 1 and ln(200) = 5.2931]
3x = 5.2931
x = 1.766
Hence Option B is correct.
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please help, I'm so confused I got -2x -15x
Answer:
16x-3
Step-by-step explanation:
It is the same as:
-4x+2+20x-5
Add -4x and 20x:
-4x+20x=16x
2-5=-3
16x-3
(-4x + 2) + (20x - 5)
Expand the brackets.
-4x + 2 + 20x - 5
Add like terms.
16x - 3
The answer is a. I hope this helps! Let me know if I got anything wrong or if you need more help!
A small school has 78 students. If 24 of the students are boys, what is the ratio of girls to boys?
Answer:
a
Step-by-step explanation:
Answer:
54 girls
Step-by-step explanation:
What is the percent of 1 - 3√(5/35) ?
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
Write the geometric sequence in function notation.
Answer:
d
Step-by-step explanation:
A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
Solving a system of equations we will see that the speed of the wind is 60mi/h.
How to find the speed of the wind?When the plane flies with the wind, the two speeds adds up, while if the plane flies against the wind, the speeds need to be subtracted.
We know that the speed of the plane is 300 mi/h.
If the speed of the wind is W, then we can write the two equations:
(300 mi/h + W)*t = 600mi
(300mi/h - W)*t = 400mi
So we have a little system of equations, if we take the quotient between them we get:
[(300 mi/h + W)*t]/[(300mi/h - W)*t ] = 600mi/400mi
(300 mi/h + W)/(300mi/h - W) = 6/4
Now we can solve this for W.
(300 mi/h + W) = (6/4)*(300 mi/h - W)
W + (6/4)*W = (6/4)*300mi/h - 300 mi/h
W*(10/4) = 150 mi/h
W = (4/10)*150 mi/h
W = 60 mi/h
That is the speed of the wind.
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Find the least common multiple of 6a2 and 5a3.
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d
The average rate of change for the interval from x = 7 to x = 8 is 35.
To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.
Let's calculate it step by step using the given table
For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35
Difference inx-values Δx = x2- x1 = 8- 7 = 1
Average rate of change = Δy/ Δx = 35/ 1 = 35
Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.
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When the scale factor is 1, what is the ratio of the side length of the side opposite ∠A and the length of the hypotenuse?
when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.
The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.
In mathematical terms, when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.
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Starting salaries of 130 college graduates who have taken a statistics course have a mean of $44,783. The population standard deviation is known to be $10,272. Using 99% confidence, find both of the following:
A.The margin of error:
B. Confidence interval:
A. The margin of error for a 99% confidence interval is $$2,320.75.
B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75
How to find both of the margin of error and confidence interval?PART A.
The margin of error (ME) is determined using the formula:
ME= z ∗ σ/√n
where:
z is the z-score for the desired confidence level
σ is the population standard deviation
n is the sample size
For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.
Substituting these values into the formula, we have:
ME = 2.576 ∗ 10272/√130
ME = $2,320.75
PART B
The confidence interval (CI) is determined using the formula:
CI = \(\bar{x}\) ± ME
where:
\(\bar{x}\) is the sample mean
ME is the margin of error
The sample mean is $44,783, and the margin of error is $2,320.75.
Substituting the values into the formula, we get:
CI= 44783 ± 2320.75
CI = $42,462.25 to $47,103.75
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How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Marissa bought 12.8 pounds of potatoes at $1.35 per pound how much did Marissa spend for the potatoes? Explain.
Under her cell phone plan, Micaela pays a flat cost of $47.50 per month and
$4 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes,
she would have to pay for 3 whole gigabytes.) She wants to keep her bill under
$55 per month. What is the maximum whole number of gigabytes of data she
can use while staying within her budget?
The maximum whole number of gigabytes is 1 gigabyte
How to determine the maximum whole gigabytesFrom the question, we have the following parameters that can be used in our computation:
Flat cost = $47.50
Rate = $4 per gigabyte
Using the above as a guide, we have the following:
f(x) = 47.50 + 4x
She wants to keep her bill under $55 per month
So, we have
47.50 + 4x < 55
Evaluate
4x < 7.5
Divide by 5
x < 1.875
So, we have
x = 1
Hence, the whole gigabyte is 1 gb
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3x^3-2x^2+7x+9 divided by x^2-3x
The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find 3x³-2x²+7x+9 divided by x²-3x
3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.
The steps to solve this are given below.
Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend (if present).
Step 5: Repeat the same process.
Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
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Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
DQ2 Do all linear transformations have a matrix representation? If so, what theorem establishes this? If not, provide a counter-example
Yes, This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.
Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.
A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.
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7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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