(1 point) if t:r2→r2 is a linear transformation such that [10] [30]T ([ 3 ]) = [ 3 ]. And T ([ 4 }) = [-21][-7 ] [-3 ] [-1 ]then the standard matrix of T is A =
Answers
The standard matrix of the linear transformation T, given the conditions [10] [30]T ([ 3 ]) = [ 3 ] and T ([ 4 }) = [-21][-7 ] [-3 ] [-1 ], is A = [-3/2 1/2; -2 1].
To find the standard matrix of T, we need to determine the image of the standard basis vectors of R2 under T.
Let's start by finding T([1,0]T) and T([0,1]T).
T([1,0]T) can be expressed as a linear combination of the columns of the standard matrix of T, which we will denote as A. Let A = [a b; c d] be the standard matrix of T. Then:
T([1,0]T) = [a c]
Similarly, T([0,1]T) can be expressed as:
T([0,1]T) = [b d]
Next, we can use the given information to determine the values of a, b, c, and d.
We know that T([3,0]T) = [3,0]T, so:
[10 30][a b] = [3 0]
Solving for a and b, we get:
a = -3/2, b = 1/2
We also know that T([4,-3]T) = [-21,-7]T, so:
[10 30][c d] = [-21 -7]
Solving for c and d, we get:
c = -2, d = 1
Therefore, the standard matrix of T is:
A = [-3/2 1/2; -2 1]
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Related Questions
Let S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1i + 1j + 3k across the surface S. F = 1i + 1j + 3k across the surface s2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field.
Answers
The flux of the vector-field F = 1i + 1j + 3k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x + 1y + z = 2.
and given F = 1i + 1j + 2k
div G = div(2x + 1y + z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 3k) (2x + 1y + z) dA
φ = ∫ (2 + 4 + 2 ) dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
Green's theorem has numerous applications. One method is to solve two-dimensional flow integrals, which state that the sum of fluid outflows from a volume equals the total outflow summed around an enclosing area.
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Find the missing side of the triangle. Round to the nearest tenth.
A) 5.5
C) 14.1
B) 12.7
D) 9.5
Answers
Write the equation of the line that passes through the points (-3,6) and (4,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y = -5/7x + 27/7
Step-by-step explanation:
y2 - y1 / x2 - x1
1 - 6 / 4 - (-3)
-5 / 7
= -5/7
y = -5/7x + b
1 = -5/7(4) + b
1 = -20/7 + b
27/7 = b
how many distinguishable orderings of the letters of millimicron contain the letters cr next to each other in order and also the letters on next to each other in order?
Answers
There are 1,663,200 different orderings of the letters of millimicron containing the letters cr next to each other in order and the letters next to each other in order.
Total no. of letters = 11
Millimicron, dissecting will give us the following:
Number of m = 2
Number of i = 3
Number of l = 2
Number of c = 1
Number of n =1
Number of r = 1
Number of o = 1
o compute this by using permutation
total no. of ways to arrange = 11! ÷ [ 2! × 3! × 2! × 1! × 1! × 1! × 1!]
= 39,916,800 ÷ 24
= 1,663,200 is the answer
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Given the information in the diagram, which lines can be proven to be parallel? Choose all which are true.
Answers
Lines 'a' and 'c' are parallel lines.
We have to given that,
There are three lines are shown in image.
We know that,
In a parallel line,
If two angles are alternate angles then both are equal to each other.
And, If two angles are corresponding angles then both are equal to each other.
Now, From the given figure,
In lines a and c,
Corresponding angles are 65 degree.
Hence, We can say that,
Lines a and c are parallel lines.
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Find The Area Of The Specified Region. Inside The Limacon R=9+4sinθ
Answers
The area of the shaded region inside the limacon is 90.214 square units
The limacon curve R = 9 + 4 sin θ is given as follows:
R = 9 + 4sinθA limaçon is a heart-shaped curve. I
t's a convex curve with a distinct dimple in the middle. If the dimple is inside the curve, it is a convex limaçon, but if it is outside the curve, it is a concave limaçon.The shaded region inside the given limacon is required to be determined. First, we will plot the given limacon curve on a polar graph below using Wolfram Alpha, a free online graphing calculator.
The polar curve is symmetric about the line θ = π/2 as well as the line passing through the pole (origin) and perpendicular to the x-axis, as seen from the graph.
Hence, we may determine the area of one of these halves and multiply by two to obtain the area of the whole region.
Shaded region inside the limaconR = 9 + 4sinθ
Area of the shaded region = 2 × Area of the lower half of the shaded region
We must first determine the values of θ for which the curve intersects the pole (r = 0).
r = 9 + 4sinθ
Let r = 0, we get0 = 9 + 4sinθsinθ = -9/4As sinθ lies between -1 and 1, there is no solution for this equation.
As a result, the polar curve does not intersect the pole (r = 0).
The area of the shaded region inside the limacon is thus given by the following formula:
Area = 2 × [1/2 ∫θ1θ2 R² dθ], where R = 9 + 4sinθ, θ1 and θ2 are the limits of integration.
Since the curve is symmetric about the line θ = π/2, the limits of integration can be taken as [π/2 - α, π/2], where α is the angle between the x-axis and the tangent to the curve at the point where r = 9.
The slope of the tangent to the curve can be obtained using differentiation as follows:
dr/dθ = 4cosθd²r/dθ² = -4sinθdθ/dt = (dr/dθ) / (dθ/dt) = (dr/dθ) / (d/dt)(θ(t)) = (dr/dθ) / (dθ/dt) = (dr/dθ) / (ω)
where ω = dθ/dt represents the angular velocity (in radians per unit time).
At the point where r = 9,dr/dθ = 4cosθ = 4cos(α) (since the tangent is perpendicular to the line joining the origin and the point where r = 9).
Let P be the point on the curve where r = 9 and θ = α.
Then the slope of the tangent to the curve at P is given by:m = -tan(α) = -[dr/dθ] / [R cos(α)]
On substituting the values, we get:-
tan(α) = -[4cos(α)] / [9 + 4sin(α)]sin(α)tan(α) = 4/9(9cos(α)sin(α)) / [9 + 4sin(α)] = 4/9cos(α)
Hence, the angle α is given by the following:
tan(α) = 4/9cos(α)tan(α) = sin(α) / cos(α)cos²(α) = 81 / (16 + 81)cos(α) = -9/13 (negative because α lies in the third quadrant)sin(α) = √(1 - cos²(α)) = 4/13
Therefore,α = atan2(sin(α), cos(α)) = atan2(4/13, -9/13) = -0.30988 rad (approx.)
The limits of integration are π/2 - α and π/2.
Area = 2 × [1/2 ∫(π/2 - α)π/2 R² dθ] = ∫(π/2 - α)π/2 (9 + 4sinθ)² dθ= 2 ∫0α (9 + 4sinθ)² dθ= 2 ∫0α (81 + 72sinθ + 16sin²θ) dθ= 2 [81θ - 36cosθ + 8θ - sin2θ / 4]0.30988 rad ≈ 17.77°
Area = 2 [81(0.30988) - 36cos(0.30988) + 8(0.30988) - sin(2 × 0.30988) / 4] = 90.214 square units (approx.)
Therefore, the area of the shaded region inside the limacon is 90.214 square units (approx.).
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according to a research institution the average hotel price in a certain year was $98.76. assume the population standard deciation is $21.00 and that a random sample of 40 hotels was selected. calculate the standar error of the mean
Answers
The standard error of the mean is equal to $3.32.
Standard error is defined as the measures of the preciseness of an estimate of a population mean. It can be calculated by dividing the sample standard deviation by the square root of the sample size.
SE = SD / √n
where SE = standard error
SD = sample standard deviation
n = sample size
Based on the problem, the sample standard deviation is $21.00 and the sample size is equal to 40. Substitute these values to the equation and solve for the standard error.
SE = SD / √n
SE = $21.00 / √40
SE = 3.32
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I need help with this! ASAP
Answers
Answer:
You dont need this app to answer this question just use quizlet they have all the answers
what is the answer??
Answers
Answer:
10a²+5ab+2b²
Step-by-step explanation:
Start by combining like terms aka the ones that match:
Step 1: (4a²-5ab-6b²) + (10ab+6a²+8b²)
Step 2: (10a²-5ab-6b²) + (10ab+8b²)
Step 3: (10a²+5ab-6b²+8b²)
Final answer: 10a²+5ab+2b²
In step 1, I added the 4 and 6. In step 2, I added -5 and 10. In step 3, I added -6 and 8. For each I attached the proper ending (a², ab, and b²).
I hope this clears some confusion!
I could use some help on this one! Thanks!
Answers
the answer is the last one
Answer:
A.) 458 R2
4 5 8
9 | 4 1 2 4
3 6
5 2
4 5
7 4
7 2
2
458 with a remainder of 2
Is the infinite series (-1)"(sqrtn2 + 2n – n) convergent, or n=0 [4 points) divergent? Show your reasoning for full credit. 4" 3" + 6 convergent, or divergent? Sh
Answers
The first part of the question asks whether the series (-1)^(n)(sqrt(n^2 + 2n – n)) is convergent or divergent. The second part asks about the series 4/3 + 6 and its convergence or divergence.
For the first series, we can simplify the expression inside the square root as n^2 + n. Taking the square root, we have sqrt(n^2 + n) = n*sqrt(1 + 1/n). As n approaches infinity, 1/n approaches 0, and sqrt(1 + 1/n) approaches 1. Therefore, the series becomes (-1)^n * n, which is an alternating series. For an alternating series (-1)^n * a_n, where a_n is a positive sequence that decreases to zero, the series converges if the limit of a_n approaches zero. In this case, the limit of n is infinity, which does not approach zero, so the series is divergent. Regarding the second series, 4/3 + 6 is a finite series and therefore convergent.
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Choose the appropriate condition for the following pairs of triangles to be congruent.
Answers
If you calculate sle to be $25,000 and that there will be one occurrence every four years (aro), then what is the ale?
Answers
If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.
What is Single-loss expectancy (SLE)?A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.
Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.
IT professionals must consider a wide range of risks, including the following:
Errors caused by humansCyber attacks, unauthorised data disclosure, or data misuse are examples of hostile action.Errors in applicationSystem or network failuresPhysical harm caused by fire, natural disasters, or vandalism.To know more about the Single-loss expectancy (SLE), here
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Despite his name, Mr. Bean likes to eat lots of fruit. He finds that four apples and two oranges cost £1.54 and that two oranges and four bananas cost £1.70. How much would he have to pay if he bought one apple, one orange and one banana?
Answers
The cost of one apple, one orange and one banana is $0.81
To solve this equation, we would write out equations on this.
let x represent appleslet y represent orangez represent bananasWhat is an EquationThis is a mathematical statement used to represent word problems.
\(4x+2y=1.54...equation(i)\\2y+4z= 1.70...equation (ii)\)
when we add both equations, the resultant value is
\(4x+4y+4z=3.24\)
We can further divide through by 4 to know the cost of one apple, one orange and one banana
\(\frac{4x+4y+4z}{4}=\frac{3.24}{4}\\ x+y+z=0.81\)
It would cost Mr. Bean $0.81 to purchase one apple, one orange and one banana.
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A beehive contains 5 gallons of honey. A beekeeper removes 4 gallons, 1 pint, and 2 ounces. How much honey remains in the beehive?
Answers
Answer: 3 quarts and 14 ounces
Step-by-step explanation:
1 gallon = 4 quarts = 128 ounces,
1 quart = 2 pints,
1 pint = 16 ounces.
Therefore:
5 gallons - ( 4 gallons 1 pint 2 ounces ) =
= 5 * 128 - ( 4 * 128 + 1 * 16 + 2 ) = 640 ounces - 530 ounces = 110 ounces
110 ounces = 3 * 32 + 14
this price they regularly occupy 8 Shows that for S$ in will night, A Motel Charges $65 for a room per mant, and at 8 rooms. Research every price rarse more room be vacant. a) Determine demand function Men part al to find the price & revenure are occupoed. rooms C) Calevate when marginal revene is zero. Find out revenue at this time. of the vale find !) What is the sign Ricaurec in 5.c. Hidroy 250 (9 Use
Answers
a) To determine the demand function, let's assume that the motel has 100 rooms in total. If they charge $65 per night for a room, then their total revenue for a fully occupied motel would be:
Total Revenue = Price x Quantity
Total Revenue = $65 x 100
Total Revenue = $6,500
Now let's say they increase their price to $70 per night. Let's assume that at $70 per night, only 90 rooms are occupied. Then their total revenue would be:
Total Revenue = Price x Quantity
Total Revenue = $70 x 90
Total Revenue = $6,300
Repeating this process for different price points;
| Price | Quantity |
| 65 | 100 |
| 70 | 90 |
| 75 | 80 |
| 80 | 70 |
| 85 | 60 |
| 90 | 50 |
Using this data, we can estimate the demand function using linear regression:
Quantity = a - b x Price, where "a" is the intercept and "b" is the slope. Using Excel or a similar tool, we can calculate these values as:
a = 145
b = 2
Therefore, the demand function for this motel is:
Quantity = 145 - 2 x Price
To find out what price will maximize revenue, we need to differentiate the revenue function with respect to price and set it equal to zero:
Revenue = Price x Quantity
Revenue = Price (145 - 2 x Price)
dRevenue/dPrice = 145 - 4 x Price
Setting dRevenue/dPrice equal to zero and solving for Price, we get:
145 - 4 x Price = 0
Price = 36.25
Therefore, the price that maximizes revenue is $36.25 per night. To find out how many rooms will be occupied at this price point, substitute demand function:
Quantity = 145 - 2 x Price
Quantity = 145 - 2 x 36.25
Quantity = 72.5
Therefore, at a price of $36.25 per night, approximately 73 rooms will be occupied.
b) To calculate the revenue when marginal revenue is zero, we need to find the price that corresponds to this condition. Marginal revenue is the derivative of total revenue with respect to quantity:
Marginal Revenue = dRevenue/dQuantity
We know that marginal revenue is zero when revenue is maximized, so we can use the price we found in part a) to calculate revenue:
Revenue = Price x Quantity
Revenue = $36.25 x 72.5
Revenue = $2,625.63
Therefore, when marginal revenue is zero, the motel's revenue is approximately $2,625.63.
c) The sign of the derivative of marginal revenue with respect to quantity tells us whether revenue is increasing or decreasing as quantity increases. If the derivative is positive, then revenue is increasing; if it's negative, then revenue is decreasing; and if it's zero, then revenue is at a maximum or minimum point.
To find the derivative of marginal revenue with respect to quantity, we need to differentiate the demand function twice:
Quantity = 145 - 2 x Price
dQuantity/dPrice = -2
d^2Quantity/dPrice^2 = 0
Using these values, we can calculate the derivative of marginal revenue with respect to quantity as:
dMarginal Revenue/dQuantity = -2 x (d^2Revenue/dQuantity^2)
Since d^2Revenue/dQuantity^2 is zero, we know that dMarginal Revenue/dQuantity is also zero. Therefore, revenue is at a maximum point when marginal revenue is zero.
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The table shows the possible outcomes of spinning a fair spinner twice with sections labeled A, B, C, and D.
AB
А
CD
с
A
A, A
B, A
C, A
D, A
B
A, B
B, B
C, B
D, B
Match the situation with its probability.
Spinner landing on at least one A
Spinner landing on C and D in any order
Spinner landing on two Bs
Spinner landing on C on the second spin
с
A, C
B, C
C, C
D, C
16
ロ
0
0
O
0
D
A, D
B, D
C, D
D, D
1
0
0
0
16
0
Answers
The probability of
Spinner landing on at least one A = \(\frac{7}{16}\)Spinner landing on C and D in any order = \(\frac{2}{16} = \frac{1}{8}\)Spinner landing on two Bs = \(\frac{1}{16}\)Spinner landing on C on the second spin = \(\frac{4}{16} = \frac{1}{4}\)Given that the outcomes are obtained when the spinner was spinned twice,
AA
AB
AC
AD
BA
BB
BC
BD
CA
CB
CC
CD
DA
DB
DC
DD
The total number of outcomes, when the spinner was spinned twice is = 16
Probability: Number of favorable outcome / Total number of outcomes.
To findout, the probability of spinner landing on at least one A = \(\frac{7}{16}\)
[From the 16 outcomes, 7 outcomes are having at least one A]
Similarly, the probability of spinner landing on C and D in any order = \(\frac{2}{16} = \frac{1}{8}\)
[From the 16 outcomes, only 2 outcomes are having C and D which are CD and DC ]
Similarly, the probability of spinner landing on two Bs = \(\frac{1}{16}\)
[From the 16 outcomes, only one time two Bs are occurred ]
Similarly, the probability of spinner landing on C on the second spin = \(\frac{4}{16} = \frac{1}{4}\)
[From the 16 outcomes, we have 4 outcomes where C occurred on second spin which are AC, BC, CC, and DC ]
Hence, from the above analysis, we solved the probability of occurring of 4 events.
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The given question has some errors, the picture having complete details to the question was attaching below,
Please help me with the question
Answers
Answer:
3
Step-by-step explanation:
Since it's at the same time of the day, the ratio between the height of the person and the shadow they cast will stay the same. So the man's height to shadow ratio is 6:8 = 3:4. The son's height to shadow ratio would be the same so x:4 = 3:4 therefore his height is 3 feet.
find x and y in
(i) 23x- 29y= 98 and 29x -23y =110
(ii) 99x +101y =499 and 101x +99y =501
Answers
Answer:
23 x-29y=98.......(1)
29 x-23y=110.......(2)
adding (1) and (2)we get
52 x-52y=208
52(x+y)=208
x-y=4...(3)[we get four by dividing 208 with 52]
subtract (2) from (1) we get
-6 x-6y=-12
x-y=2.....(4)
adding (3) and (4) we get
2x=6
therefore x=3
now from (4) we get
x-y=2 [we substitute xfor 3]
3-y=2
y=2-3
y=-1( that is the answer for your first question)
Step-by-step explanation:
99x+101y=499.....(1)
101x+99y=501.....(2)
add (1) and (2)
(99+101)x+(101+99)=(499+501)
200x+200y=1000
200(x+ y)=1000
x+y=5.....(3)
subtract (2)from(1) we get
2x-2y=2
2(x-y)=2
x+y=1.......(4)
x+y=5
x-y=1(add them together)
2x=6
x=3
substitute x equal to 3 in equation (3)
x+y=5
3+y=5
y=2
y equal to 2 and x equal to 3
hope is not too lateWhat is the measure of missing angle?
Answers
Answer:
\(x = 115\)
First answer is correct.Step-by-step explanation:
lets get the missing side as x
\(75 + 40 = x \\ 115 = x\)
hope this helps
brainliest appreciated
good luck! have a nice day!
Two sporting goods are having discount sales on basketballs. They both charge the same sales tax, 6%, after the discount is applied.
At Rick's Sporting Goods, a basketball is on sale for 20% off the regular price of $24.95.
At Sports Expert, the same kind of basketball is on sale for 25% off the regular price of $25.80
Part A: Which store has the better deal? (Circle the appropriate selection)
Rick's Sporting Goods
Sports Expert
Part B: How much money could you save by purchasing at the store you selected in Part A?
Please help me out with both parts, would really appreciate it! Thanks!(Best answer will be marked as brainliest)
Answers
Part A: The better deal is at Sports Expert.
Part B: To calculate the savings, we need to find the sale prices of the basketballs at each store. At Rick's Sporting Goods, the basketball is on sale for 20% off, so the sale price is 0.8 * $24.95 = $19.96. At Sports Expert, the basketball is on sale for 25% off, so the sale price is 0.75 * $25.80 = $19.35.
The difference in price between the two stores is $0.61. Therefore, by purchasing the basketball at Sports Expert, you could save $0.61.
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3. The price of 8.4 ounces of crackers is $2.42. What is the unit price? Round your answer to the
nearest cent.
OS0.15 per ounce
OS3.47 per ounce
OS28.81 per ounce
OSO.29 per ounce
27
Answers
im not sure but I think its D. 0.29 correct me if I’m wrong don’t trust my answer fully since I’m not for sure it’s d
If the price of 8.4 ounces of crackers is $2.42. Then $3.47 is the unit price
What is Units of measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given,
The price of 8.4 ounces of crackers is $2.42
We need to find the unit price.
We just need to divide eight point four ounces by two point four two.
8/2.42
3.47
Hence $3.47 is the unit price.
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pls help:( algebra 1 btw
17(2 + 12g) + 14
Answers
Answer:
204g + 48
Step-by-step explanation:
simplifying the expression
Step 1: Rewrite equation
To start off, let’s rewrite the equation to better understand the problem we are working with.
17(2+12g)+14
Step 2: Distribute
In this type of equation, we will not find an exact answer. Rather, we will simplify the equation by distribution and combining like terms. Let’s start by distributing. To do so, multiply the numbers outside of the parentheses with the numbers on the inside of the parentheses. This will be 17•2 and 17•12g. Let’s do so now.
17(2+12g)+14
34+204g+14
Step 3: Combine like terms
As the final step, we need to combine like terms. This means we add/subtract terms that share the same variable, or lack of. In this case, we need to add 34 and 14 together. Let’s do this now.
34+204g+14
204g+48
This is your final answer. 204g+48 is the new equation. Hope this helps! Comment below for more questions.
Can someone please please help me
I’ll give brainiest
Answers
Answer:
$13.50
Step-by-step explanation:
So excluding tax and tip, let's find the cost of the meal.
$6.70 + $1.95 + $2.35 = $11.00
Now let's add the 4.5% tax. We do this by adding 4.5% of 11.00 to 11.00
$11.00 + 0.045($11.00) = $11.495 which rounds to 11.50
Now the tip is 2 dollars, so add 2 to 11.50 to get $13.50
4.5% sales tax is $0.50 so $11 + $0.50 = $11.50
$11.50 + $2.00 tip = $13.05
A monopolist faces the following demand curve, marginal revenue curve, total cost curve and marginal cost curve for its product: q = 200 - 2p mr = 100 - q tc = 5q mc = 5. what is the total profit earned?
Answers
The total profit that is earned is 4512.5
How to solve for the profit that is earned100 - q = 0
q = 100
Maximization is where q = 0
MR = mc
100 - q = 5
such that q = 95
Price would be 100 -0.5(95)
= 100 - 47.5
= 52.5
Profit earned would be
= 95*52.5 -5*95
= 4512.5
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a suitcase lock has 4 dials with the digits $0, 1, 2,..., 9$ on each. how many different settings are possible if all four digits have to be different?
Answers
Are 5,040 different possible settings for the suitcase lock if all four digits have to be different.
For the first dial, there are 10 possible digits (0 to 9) that can be set. For the second dial, there are 9 remaining digits to choose from (since we cannot repeat the digit from the first dial). For the third dial, there are 8 remaining digits to choose from (since we cannot repeat any of the digits from the first two dials). Finally, for the fourth dial, there are 7 remaining digits to choose from.
Therefore, the total number of possible settings for the suitcase lock with all four digits different is:
10 × 9 × 8 × 7 = 5,040
There are 5,040 different possible settings for the suitcase lock if all four digits have to be different.
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May I please receive help?
Answers
Step-by-step explanation:
the straight angle ;
180 - 42 = 138
The isosceles triangle ;
138 + x + x = 180
2x = 42
x = 21
pllease give me a brainliest answer
A certain freely falling object requires 1.20 s to travel the last 24.0 m before it hits the ground. From what height above the qround did it fall? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m
Answers
The object fell from a height of approximately 7.057 meters above the ground.
We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:
H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.
Learn more about Acceleration here: brainly.com/question/29761692
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The midpoint of AB is M(4, -1). If the coordinates of A are (2,5), what are the
coordinates of B?
Answers
Answer:
(6,-7)
Step-by-step explanation:
take b as x2,y2
then apply mid point formula
x=(x1+x2)/2
y=(y1+y2)/2
Answer: B = (-6, 7)
Step-by-step explanation:
Given: M = (4, -1) A = (2, 5)
\(M_x=\dfrac{A_x+B_x}{2}\qquad \qquad \qquad M_y=\dfrac{A_y+B_y}{2}\\\\\\4=\dfrac{2+B_x}{2}\qquad \qquad \qquad -1=\dfrac{5+B_y}{2}\\\\\\8 = 2+B_x\qquad \qquad \qquad\quad -2=5+B_y\\\\\\6=B_x\qquad \qquad \qquad\qquad \quad -7=B_y\)
how much is 12 + 6?
and how much 7+7+12?
Please help me
Answers
12 + 6
Add Them:
12 + 6 = 18
7 + 7 + 12
Add Them:
7 + 7 + 12 = 26
Answer:
18
26
Step-by-step explanation: