24) A park has a sandbox in a shape of a quadrilateral. Christian wants to create a smaller sandbox at his backyard
having the same angles as the park sandbox.
(Drawings of both sandboxes are shown above)
What is the perimeter, in feet (ft), of Christian's sandbox?
SHOW ALL WORK!!
The perimeter of the Christian's sandbox is 24 feet.
The given two quadrialterals are similar
Let us find the remaining lengths of Christian's sandbox
By proportional equation
36/8=18/x=27/y=18/z
4.5=18/x=27/y=18/z
x=18/4.5 = 4
y=27/4.5 = 6
z=4
The perimeter is sum of all the sides
So perimeter of Christian's sandbox is 8+6+4+4
24 feet
Hence, the perimeter of the Christian's sandbox is 24 feet.
To learn more on Similar figures click:
https://brainly.com/question/25882965
#SPJ1
D = 0.25 (36950 - 0.02p^3)^2. Find the unit price that maximizes revenue. Enter your answer as a number (no units) rounded appropriately.
To find the unit price that maximizes revenue, we need to maximize the given revenue function: \(R = 0.25(36950 - 0.02p^3)^2\). The revenue function R is dependent on the unit price p.
To maximize the revenue, we need to find the value of p that corresponds to the maximum point on the revenue curve.
To determine this, we can take the derivative of the revenue function with respect to p and set it equal to zero to find the critical points. Let's calculate the derivative:
\(dR/dp = 2 * 0.25 * (36950 - 0.02p^3) * (-0.02) * 3p^2 = -0.015 * p^2 * (36950 - 0.02p^3)\)
Setting this derivative equal to zero, we have:
\(-0.015 * p^2 * (36950 - 0.02p^3) = 0\)
Since we are interested in finding the unit price, we can solve this equation numerically using methods like graphing, Newton's method, or a calculator. The resulting value of p will be the unit price that maximizes revenue. Remember to round the answer appropriately based on the precision required.
Learn more about derivative here: https://brainly.com/question/29144258
#SPJ11
A family spends ; of their monthly income
on food,
5
14
on clothing and ‡on rent.
What fraction of the family's income is
spent on other things? If in a particular
month, the family spends GH&2,400 on
other things, how much did the family
spend on clothing? What was the family's
income for the month.
They spent 1/70 of their monthly income on other things.
The family spent GH¢60,000 on clothing.
The monthly income of the family is GH¢168,000.
What is Fraction?
The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.
Since, The family spend;
On food = (3/7)*x
On clothing = (5/14)*x
On rent = (1/5)*x
Let the family's monthly income = x
Now, To find the fraction of the family's income is spent on other things, we can assume that y is spent on other things, then we should have;
(3/7)*x + (5/14)*x + (1/5)*x + y*x = x
We can divide both sides by x, we get:
(3/7) + (5/14) + (1/5) + y = 1
Now, we can solve this for y as;
3/7 + 5/14 + 1/5 + y = 1
6/14 + 5/14 + 1/5 + y = 1
(6 + 5)/14 + 1/5 + y = 1
11/14 + 1/5 + y = 1
The smallest common factor of 14 and 5 = 14*5 = 70
So, we can multiply in the first fraction by 5/5 and the second by 14/14,
(5/5)*(11/14) + (14/14)*(1/5) + y = 1
55/70 + 14/70 + y = 1
69/70 + y = 1
y = 1 - 69/70
y = 1/70
Hence, They spent 1/70 of their monthly income on other things.
And, On a particular month, the family spends GH¢2,400 on other things, then if the monthly income is x, we have:
(1/70)*x = GH¢2,400
x = 70* GH¢2,400
x = GH¢168,000
So, The monthly income of the family is GH¢168,000
And, we know that they spend (5/14)*x on clothing,
Then this month they spent on clothing,
⇒ (5/14)*GH¢168,000 = GH¢60,000
So, They spent 1/70 of their monthly income on other things.
The family spent GH¢60,000 on clothing.
The monthly income of the family is GH¢168,000.
Learn more about the fraction visit:
https://brainly.com/question/11455463
#SPJ1
The complete question is this,
A family spends 3/7 of their monthly income on food,5/14 on clothing and 1/5 on rent. What fraction of the family's income is spent on other things? If in a particular month, the family spends GH&2,400 on other things, how much did the family spend on clothing? What was the family's income for the month.
1. If g(x)= 4(3)* then g(-2)= ?
Help please
Answer:
-8
Step-by-step explanation:
Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!
Question 9(Multiple Choice Worth 1 points)
(08.07 LC)
The quadratic function f(x) has roots of -4 and 3 and point (2,-6) lies on f(x). What is the equation of f(x)?
Of(x) = (x+3)(x-4)
Of(x)=(x-3)(x+4)
Of(x)=3(x+3)(x-4)
Of(x)=3(x-3)(x+4)
Question 10g
\(\begin{cases} x = -4 &\implies x +4=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +4 )( x -3 ) = \stackrel{0}{f(x)}} \hspace{5em}\textit{we also know that } \begin{cases} x ~~ ~~ = ~~ 2\\ f(x)=-6 \end{cases} \\\\\\ a ( 2 +4 )( 2 -3 ) = -6\implies a(6)(-1)=-6\implies -6a=-6 \\\\\\ a=\cfrac{-6}{-6}\implies a=1 \\\\[-0.35em] ~\dotfill\\\\ 1( x +4 )( x -3 ) =f(x)\implies {\Large \begin{array}{llll} ( x +4 )( x -3 ) =f(x) \end{array}}\)
A full glass of water can hold 1/6 of a bottle
How many glasses of water can be filled with 3 1/2 of water
Answer:
21
Step-by-step explanation:
Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.
Answer:
21.
Step-by-step explanation:
That would be 3 1/2 divided by 1/6.
= 7/2 / 1/6
= 7/2 * 6
= 42/2
= 21 glasses.
#21
In the diagram, line g is parallel to line h.
Answer:
2, 3, 4, 5
Step-by-step explanation:
Answer:
I believe 4 of these are correct,
answer choice, 2,3,4and
Step-by-step explanation:
2 and 3 are correct because of the inverse of the parallel theorem and answer choice 4 is just a straight line has an angle of 180. Since angle 3 corresponds to angle 7 also meaning they are congruent. We can say angle 1 and 7 add up to 180. As for answer 5, it is the same side interior thereom
The delivery charge and daily rate to lease a construction crane are listed below for two companies.
High Top Cranes charges $744 for delivery and $3,290 per day.
Big Lift Equipment charges $1,428 for delivery and $3,214 per day.
If Builder's Construction Company leases a crane for 11 days, which leasing company has a lower total cost?
Answer: Big Lift Equipment
Step-by-step explanation:
From the question,
High Top Cranes charges $744 for delivery and $3,290 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:
= $744 + $3290(11)
= $744 + $36190
= $36934
Big Lift Equipment charges $1,428 for delivery and $3,214 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:
= $1428 + $3214(11)
= $1428 + $35354
= $36782
Based on the calculations, Big Lift Equipment has a lower cost
Find the standard form of the complex number, then represent the complex number graphically: 5(cos(135°) + i sin(135°))
To find the standard form of the complex number, we can use Euler's formula which states that e^(ix) = cos(x) + i sin(x). Using this formula, we can rewrite 5(cos(135°) + i sin(135°)) as 5(e^(i * 135°))
We can then use the fact that e^(ix) = cos(x) + i sin(x) to simplify this expression:
5(cos(135°) + i sin(135°)) = 5(e^(i * 135°)) = 5(cos(135°) + i sin(135°))
So the standard form of the complex number is:
5(cos(135°) + i sin(135°))
To represent this complex number graphically, we can plot the point (5 cos(135°), 5 sin(135°)) in the complex plane. This point has a magnitude of 5 and an angle of 135° (measured counterclockwise from the positive real axis). So the graphical representation of the complex number is a point in the second quadrant of the complex plane, 5 units away from the origin, and making an angle of 135° with the positive real axis.
Learn more about complex number here:
https://brainly.com/question/20566728
#SPJ11
4. Find the slope of the following points. (4,5) (9,3)
A. 5/2
B. -2/5
C. -5/2
D. 2/5
A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is
drawn. A random variable assigns the number of red marbles to each outcome. Calculate the expected value of the random
variable.
A) 0.67
B) 0.56
C) 0.17
D) 0.33
Answer:
d
Step-by-step explanation:
which fraction is equivalent to 612? select each correct answer. responses 46 4 over 6 38 3 over 8 36 6 over 12 24 2 over 4 12 1 over 2 26
The fractions equivalent to 6/12 are 6/12, 2/4, and 1/2.
1. 4/6: To see if these fractions are equivalent, we can simplify 6/12. Divide both the numerator and the denominator by their greatest common divisor, which is 6. 6/12 ÷ (6/6) = 1/2. Now, simplify 4/6 by dividing both by their greatest common divisor, which is 2. 4/6 ÷ (2/2) = 2/3. These fractions are not equivalent, as 1/2 ≠ 2/3.
2. 3/8: This fraction cannot be equivalent to 6/12, as their denominators are different and don't have a common factor. So, no further calculation is needed.
3. 6/12: This fraction is the same as the original fraction and is therefore equivalent to itself.
4. 2/4: Simplify 2/4 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 2/4 ÷ (2/2) = 1/2. This fraction is equivalent to 6/12, as 1/2 = 1/2.
5. 1/2: As we found out earlier, 6/12 simplifies to 1/2, so this fraction is equivalent to 6/12.
Learn more about common divisor here:
brainly.com/question/29199768
#SPJ11
the questions are in the photo, it’s for physics pls help <3
The solutions for the inequalities are: θ = arccos(-√3/2) + π ≤ θ ≤ -arccos(-√3/2), θ = arccos(1/2) < θ < -arccos(1/2) and θ = arcsin(1/√2) + π < θ < π - arcsin(1/√2) respectively.
Understanding Inequalities in TrigonometryTo solve the inequalities for the given range of θ (0 ≤ θ ≤ 2π), we'll use the unit circle and trigonometric identities. Let's solve each inequality step by step:
1. cosθ ≤ -√3/2:
First, we need to find the angles on the unit circle where cosθ is less than or equal to -√3/2. The values of -√3/2 lie in the third and fourth quadrants of the unit circle. In the third quadrant, the cosine value is negative. The angle θ in the third quadrant can be found using the inverse cosine function (arccos):
θ = arccos(-√3/2) + π
Similarly, in the fourth quadrant, the angle can be found as:
θ = -arccos(-√3/2)
Therefore, the solution to the inequality cosθ ≤ -√3/2 for 0 ≤ θ ≤ 2π is:
θ = arccos(-√3/2) + π ≤ θ ≤ -arccos(-√3/2)
2. cosθ - 1/2 > 0:
To find the values of θ that satisfy the inequality, we'll consider the unit circle. We know that the cosine function is positive in the first and fourth quadrants of the unit circle.
In the first quadrant, the angle θ can be found using the inverse cosine function:
θ = arccos(1/2)
In the fourth quadrant, we can find the angle as:
θ = -arccos(1/2)
Therefore, the solution to the inequality cosθ - 1/2 > 0 for 0 ≤ θ ≤ 2π is:
θ = arccos(1/2) < θ < -arccos(1/2)
3. √2 sinθ - 1 < 0:
To solve this inequality, we'll consider the unit circle and the properties of the sine function. The sine function is negative in the third and fourth quadrants.
In the third quadrant, we can find the angle θ using the inverse sine function:
θ = arcsin(1/√2) + π
In the fourth quadrant, the angle can be found as:
θ = π - arcsin(1/√2)
Therefore, the solution to the inequality √2 sinθ - 1 < 0 for 0 ≤ θ ≤ 2π is:
θ = arcsin(1/√2) + π < θ < π - arcsin(1/√2)
Learn more about inequality here:
https://brainly.com/question/25944814
#SPJ1
In each of the questions below; hanging mass m Irom spring stretches the spring L meters from its unloaded length: Calculate the spring constant k_ write the differential equations that governs the motion of the undamped mass-spring system; and find the solution that satisfies the initial conditions specified_ Units are mks; the gravitational constant is 9.8 m/s? m = 0.3 kg and L = 2.45 meters_ The initial displacement is meters and the initial velocity is meters/sec_ x =0 x(t) m = 0.1 kg and L = 1.08889 meters. The initial displacement is 9 meters and the initial velocity is 2 meters/sec_ k = kg/s? X = x(t) = m = 0.2 kg and L = 9.8 meters_ The initial displacement is meters and the initial velocity is 9 meters/sec_ k = kg/s? x =0 x(t) kg/s?
A) Solution: x(t) = 0.4cos(3t) + 0.7sin(3t) + 0.0175. B) Solution: x(t) = 0.5cos(0.5t) + 0.4sin(0.5t) + 0.1. C) Solution: x(t) = 0.9cos(4t) + 0.225sin(4t) + 0.125
For the first problem:
Using Hooke's Law, we have k = mg/L = (0.2 kg)(9.8 m/s²)/(1.0889 m) = 1.764 kg/s².
The differential equation that governs the motion of the undamped mass-spring system is x'' + (k/m)x = 0, which simplifies to x'' + 9x = 0 since k/m = 1.764 kg/s² / 0.2 kg = 8.82 m/s² and we can use g=9.8 m/s² to get k/m = 0.9 g/L.
The solution that satisfies the initial conditions specified is x(t) = 0.4cos(3t) + 0.7sin(3t) + 0.0175.
For the second problem:
Using Hooke's Law, we have k = mg/L = (0.3 kg)(9.8 m/s²)/(2.45 m) = 1.176 kg/s².
The differential equation that governs the motion of the undamped mass-spring system is x'' + (k/m)x = 0, which simplifies to x'' + 2.5x = 0 since k/m = 1.176 kg/s² / 0.3 kg = 3.92 m/s² and we can use g=9.8 m/s² to get k/m = 0.4 g/L.
The solution that satisfies the initial conditions specified is x(t) = 0.5cos(0.5t) + 0.4sin(0.5t) + 0.1.
For the third problem:
Using Hooke's Law, we have k = mg/L = (0.5 kg)(9.8 m/s²)/(0.6125 m) = 80.8163 kg/s².
The differential equation that governs the motion of the undamped mass-spring system is x'' + (k/m)x = 0, which simplifies to x'' + 32x = 0 since k/m = 80.8163 kg/s² / 0.5 kg = 161.6326 m/s² and we can use g=9.8 m/s² to get k/m = 32 g/L.
The solution that satisfies the initial conditions specified is x(t) = 0.9cos(4t) + 0.9/4sin(4t) + 0.125.
Learn more about Hooke's Law here: brainly.com/question/29126957
#SPJ4
PLEASE HELP URGENTLY! ASAP RIGHT ANSWERS WILL BE MARKED BRAINLIEST!!!
Answer:
Step-by-step explanation:
the formula for the circumference of a circle is 2rπ
the formula for the area of a circle is (r^2)π
the formula for the diameter of a circle is 2r
π=3.14
---------------------------------------------------------------
1. diameter =2r. since diameter=24, r=12
2. circumference=2rπ. since circumference = 314. 314=2rπ r=49.9746
3. circumference=2rπ area=(r^2)π
since r=7, circumference=14π=43.98229 since r=7, area is 49π=153.9380
4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before: circumference=20π=62.8318 and area=100π=314.15926
5. the formula for the diameter is 2r=d 2(18)=d, 36=d
6. 2rπ=circumference = 2(5)π=10π=31.415926
Hope that helps :)
True or False
The closer AUC is to 0.5, the poorer the classifier.
False, the closer the AUC is to 0.5, the poorer the classifier is incorrect.
The Area Under Curve (AUC) is a performance measurement that is widely utilized in machine learning. It is often employed to calculate the efficiency of binary classifiers by computing the area beneath the curve of the receiver operating characteristic (ROC) curve. A perfect classifier has an AUC of 1, whereas a poor classifier has an AUC of 0.5, indicating that it has no discrimination capacity.
As a result, a larger AUC indicates a better classifier, whereas a smaller AUC indicates a worse classifier. False, the statement "The closer the AUC is to 0.5, the poorer the classifier" is incorrect. A classifier with an AUC of 0.5 is no better than random guessing, whereas a classifier with an AUC of 1 is ideal.
To know more about the AUC visit:
https://brainly.com/question/31315698
#SPJ11
What is the value of aaa when we rewrite 6^{x}6 x 6, start superscript, x, end superscript as ax4 ?
The equation can be rewritten as: \(ax^4 = (log(6))(2^4)\)
Therefore, \(a = log(6) \ and\ x=2\)
What is logarithm?A logarithm is a mathematical function that describes the relationship between a number and its exponent. It is the inverse operation of exponentiation. Logarithms are typically written as log base b, where b is the base of the logarithm and is a positive number.
The logarithm of a number x to base b is denoted as \(logb(x)\) and it is the exponent to which we need to raise the base b in order to get the number x.
For example, if we are given \(log10(100) = 2\), this means that \(10^2 = 100\).
The equation \(6^x * 6 * 6\) can be rewritten as \(6^x * 6^2\).
To convert 6^x to ax form, we need to take the logarithm of both sides of the equation:
\(log(6^x) = log(6^2)\)
And we can simplify the equation as:
\(xlog(6) = 2log(6)\)
So, the value of a is log(6) and the value of x is 2.
Therefore, the equation can be rewritten as:
\(ax^4 = (log(6))(2^4)\)
Therefore, \(a = log(6)\ and\ x=2\)
To know more about Logarithms visit:
https://brainly.com/question/28346542
#SPJ4
independent variable was contact plates placed on the tile for less than 5 seconds. the standardized variables were the length of time plates were on the tiles. the control was the inoculating floor tiles for five days in chicken broth. the dependent variable was the plates placed on the tile for more than 5 seconds.
Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.
The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.
The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.
The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.
This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.
For such more question on variable:
https://brainly.com/question/28248724
#SPJ8
The following question may be like this:
The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?
The standardized variables were the length of time plates were on the tiles. The control was the inoculating floor tiles for five days in chicken broth. The dependent variable was the plates placed on the tile for more than 5 seconds. Independent variable was contact plates placed on the tile for less than 5 seconds.It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
$26 $79 $47 $75
Answer:75
Step-by-step explanation:
Consider the following hypothetical scores: 21, 25, 37, 38, 39, 42, 44, 45. What is the value of the range?
Answer:
24
Step-by-step explanation:
The range is the biggest number subtracted by the smallest number.
45-21=24
I hope this helped <3
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. Answer each question and show your reasoning. When purchasing 3 pounds, which meat is more expensive? By how much more expensive is it?
Given :
Chicken costs $3.20 per pound, and beef costs $4.59 per pound.
To Find :
When purchasing 3 pounds, which meat is more expensive and by how much.
Solution :
Price of 3 pound chicken, \(P_c=3.2\times 3 = \$9.6\) .
Price of 3 pound beef, \(P_b = 4.59\times 3=\$13.77\) .
Now, difference in price :
P = $13.77 - $9.6 = $4.17 .
Therefore, beef is more expensive than chicken by $4.17 .
Hence, this is the required solution.
hiii please help if you give a correct answer i’ll give brainliest thanks!
Hope this helps!
Multiply 15 by 9, then divide by 2 and Multiply 15 by 9, then mltiply by 1/2.
I don't understand the problem. Can you help me solve it please? I also have an IEP.
Answer:
12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)
a^2 + b^2 = c^2
Substitute the known values
5^2 + b^2 = 13^2
25+b^2 = 169
Subtract 25 from each side
25+b^2-25 =169-25
b^2 = 144
Take the square root of each side
sqrt(b^2) = sqrt(144)
b=12
Answer:
Given:
a = 5c = 13To find:
missing side b
Solution:
Using Pythagorean theorem,
(Hypotenuse² = base² + perpendicular²)
b² = c² - a²
= 13² - 5²
= 169 - 25
= 144
b = √144
= 12
What is the formula for the arc length of the sector of a circle?
If PQ subtends angle at the circle's center, then let PQ be an arc with radius r and a center at O. Thus, the arc length of PQ is given by PQ = /360° (2r), where is a degree.
What is angle?A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. From the Latin word "angulus," which meaning "corner," comes the English term "angle." The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.Two lines intersect at a shared point to produce an angle. Degrees, denoted by the symbol °, are used to measure them. Acute, right, obtuse, and reflex angles are among the four crucial types of angles. 360° makes up a full circle. It has completed two full rotations if the angle is more than 720°.To learn more about angle, refer to:
https://brainly.com/question/25716982
#SPJ4
NEEDED ASP. Which graph shows a proportional relationship between x and y
Answer
A
Step-by-step explanation:
A is the only one that goes through the graph the rest don't and B looks like it does but it does not.
Can two obtuse angles be supplementary? Why or why not?
Answer:
No.
Step-by-step explanation:
Two Angles are Supplementary when they add up to 180.
Let us consider the least obtuse angle, i.e., >90
Say 91 and add it to itself.
91+91 =182
This is >180
Hence, two obtuse angles can never be supplementary.
Under laminar conditions, the volume flow Q through a small triangular section pore of side length b, and length L is a function of viscosity , pressure drop per unit length p/L, and b. Using the pi theorem, rewrite this relation in dimensionless form. How does the volume flow change if the pore size b is doubled?
The volume flow Q through a small triangular section pore can be related to viscosity, pressure drop per unit length, and pore size through the Buckingham Pi theorem.
Let's first identify the fundamental dimensions involved in this problem:
Length (L)
Mass (M)
Time (T)
Using these fundamental dimensions, we can form three dimensionless pi groups that express the relationship between the variables:
Reynolds number: Re = (ρVL)/µ, where ρ is the density of the fluid, V is the characteristic velocity (which is proportional to pressure drop per unit length), µ is the viscosity of the fluid, and b and L are characteristic length scales.
Aspect ratio: Γ = L/b
Shape factor: Ψ = (Qb²)/(µVL)
The volume flow Q can therefore be written in terms of the other variables as:
Q = (ΨµVL)/b²
To answer the second part of the question, if the pore size b is doubled, the volume flow Q will increase by a factor of 4, assuming all other variables remain constant. This is because the shape factor Ψ is proportional to b², so doubling b will lead to a four-fold increase in Ψ and thus in Q.
Learn more about Pi theorem here:
https://brainly.com/question/2292493
#SPJ11
What are numbers that add to 50 and subtract to 10
Answer:
30 plus 20 is 50
30 minus 20 is 10
In an unknown planet, a rock with a mass of 10 kg has a weight of 20 N. What is the gravitational acceleration of objects near the surface of the unknown planet?
Answer:
The gravitational force between a mass and the Earth is the object’s weight. Mass is considered a measure of an object’s inertia, and its weight is the force exerted on the object in a gravitational field. On the surface of the Earth, the two forces are related by the acceleration due to gravity: Fg = mg. Kilograms and slugs are units of mass; newtons and pounds are units of weight.
You can use Newton’s law of gravitation to get the acceleration due to gravity, g, on the surface of the Earth just by knowing the gravitational constant G, the radius of the Earth, and the mass of the Earth. The force on an object of mass m1 near the surface of the Earth is
F = m1g
This force is provided by gravity between the object and the Earth, according to Newton’s gravity formula, and so you can write
Step-by-step explanation:
are the following statements true or false? false 1. if two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. false 2. if is zero, then two rows or two columns are the same, or a row or a column is zero. false 3. the determinant of is the product of the diagonal entries in . false 4. .
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
What is matrix ?
A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,
1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.
2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.
3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.
4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
To learn more about matrix visit : brainly.com/question/29132693
#SPJ4