Answer:
The inverse of an identity matrix is the identity matrix
Step-by-step explanation:
The inverse of an identity matrix is itself. The identity matrix itself is invertible. We use the identity matrix to find inverse matrices, so naturally it makes sense that the inverse of the identity matrix is the identity matrix.
What is CD?
Point G is the centroid of triangle ABC. The length of
segment CG is 6 units greater than the length of segment
DG.
6 units
12 units
18 units
24 units
Answer:
(C)18 units
Step-by-step explanation:
Point G is the centroid of triangle ABC.C is a vertex of the triangleD is the midpoint of the side opposite the vertex.From Centroid Theorems, we know that the distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex.
Therefore:
CG=2DG
Let the length of segment DG =x
The length of segment CG is 6 units greater, therefore: CG=x+6
Substituting into CG=2DG:
x+6=2x
2x-x=6
x=6 Units
Therefore:
CD=CG+GD
=6+6+6
=18 Units
The correct option is C.
Answer:
18
Step-by-step explanation:
Line segment CG is amount to 12 and line segment GD is 6. The length of the whole line segment, CD is 18 by adding 12 and 6.
✌
Find the sum 3/5+1/9
hope it helps you tell me in the comment box
(•‿•)
Someone please help me!
Answer:
x = -3
Step-by-step explanation:
When you take the cube root of -27, -3 is your answer. To double check, just cube -3 (or -3 x -3 x -3) and you can see you get -27.
Answer:
AStep-by-step explanation:
x^3=-27
x=cuberootof(-27)
x=cuberootof(-3^3)
x=-3
This is A
Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t
can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent
and dependent variables?
Answer:
independent: tdependent: dStep-by-step explanation:
In an equation of the form ...
variable = expression
we generally consider the variable on the left to be the dependent variable. The variable in the expression is the independent variable.
Here, the equation ...
d = 0.5 + 5t
suggests that the dependent variable is d; the independent variable is t.
Answer:
The independent variable is time and the dependent variable is distance.
Solve the equation for x by graphing.
2^x-4=-4^x+4
A.x= 2.25
B.x= 1.25
C.x = 0.25
D.x= -1.5
Answer:
The answer is B. x = 1.25
Step-by-step explanation:
The solution of the given equation is x = 1.25
What is an equation?In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation we need to find the solution, 2ˣ-4 = -4ˣ+4
We have been given an equation 2ˣ-4 = -4ˣ+4.
We are asked to solve our given equation by graphing.
Upon graphing our given equation, we will get our required graph as shown in the attached image.
The solution for our given equation will be point, where graph intersects x-axis.
Upon looking at our given graph, we can see that it intersects x-axis at
x = 1.25
Therefore, option B is the correct choice.
Learn more about equation, click;
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Uh, one second I got to put the picture ;-;
Answer:
92°
Step-by-step explanation:
will give BRAINLIEST, please answer quickly, easy question
Answer:
A =576 pi in ^2
Step-by-step explanation:
Circumference is given by
C = 2 * pi *r
48 pi = 2 * pi *r
divide by 2 pi
48 pi /2 pi = 2 * pi * r / 2 pi
24 = r
We can find the area by
A = pi r^2
A = pi (24)^2
A =576 pi in ^2
Answer:
576π in^2
Step-by-step explanation:
Circumference of circle (C) = 2πr = 48π in
2πr = 48 π
r = 48π/2π = 24 in
Area of circle (A) = πr^2
r (radius of circle) = 24 in
A = π(24 in)^2 = 576π in^2
Allie has 10.25 in quarters and dimes.. how many dimes does she have
Answer:
(Depending on the available answers) Allie has 37 quarters and 10 dimes.
Step-by-step explanation:
37 quarters add up to $9.25 (37 x 0.25 = 9.25). 10 dimes add up to $1 (10 x 0.10 = 1). 37 quarters and 10 dimes add up to $10.25. There are other ways you can divide $10.25 into quarters and dimes (such as 21 quarters and 50 dimes) but this is just one of them. I hope this helped, good luck on your test/work!
Which point is a solution to this graphed system of inequalities?
a. (0, 0)
b. (-4,-2)
c. (3, -3)
d. (5, -1 )
Answer:
D.
Step-by-step explanation:
The solution has to be in the shaded area in order to be a solution. Only D. is in the shaded region, so that is your correct answer.
Help help help on if u know what u doing tho lol please
Answer:
He is right
Step-by-step explanation:
[tex](8^3)^3= \\\\8^{3\cdot 3}=\\\\ 8^9[/tex]
Hope this helps!
if f(x)=x-7 and g(x)=x^3, find G(f(x))
Answer:
[tex](f*g)(x) = x^4-7x^3[/tex]
Step-by-step explanation:
[tex]f(x) = x-7\\g(x) = x^3[/tex]
Multiplying both would make
[tex](f*g)(x) = x^4-7x^3[/tex]
Please help me with this.
Answer:
7.9315
Step-by-step explanation:
1.no =7/3±85/16±2/7
=2665/336
=7.9315
2no =86/9-17/5
=227/45
=6.15556
3no= 45/7×53/4
=2385/28
=85.1785
4no=67/4÷5/2
=67/4×2/5
=134/20
=67/10
=6.7
Change the unit of length. 6 ft 2 in. = _____ ft Answer Choices A. 6 1/3 B. 6 1/6 C. 6 1/12 D .6 2/3
Answer:
6 1/6 ft
Step-by-step explanation:
12 inches = 1 ft
So 2 inches is 2/12 of a foot
2/12 = 1/6
6 ft 2 inches = 6 1/6 ft
Help please please I really need help
Answer:
45 sq yd
Step-by-step explanation:
area of square: 8*6= 48
area to triangle: 2*3/2 = 3
48 - 3 = 45
A company laid off one-sixth of its workforce because of falling sales. If the number of employees after the layoff is 690, how many employees were laid off?
Answer:
138
Step-by-step explanation:
Let the number of employees before the layoff be x.
1/6 of the company's workers were laid off and the remaining workers are 690. This means that:
1/6 * x = x - 690
=> x/6 = x - 690
=> 690 = x - x/6
690 = 5x/6
=> x = (690 * 6) / 5
x = 828
There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:
828 - 690 = 138 employees
The company's laying off its workforce is an illustration of proportions.
A total of 138 employees were laid off
The proportion (p) laid off is given as:
[tex]p = \frac 16[/tex]
The proportion (q) remaining in the workforce would be
[tex]q = 1 - p[/tex]
This gives
[tex]q = 1 - \frac 16[/tex]
[tex]q =\frac 56[/tex]
The workforce after 1/6 were laid off is given as 690.
So, we have:
[tex]q \times n = 690[/tex]
Where n represents the original workforce
This gives
[tex]\frac 56 \times n = 690[/tex]
Multiply both sides by 6/5
[tex]n = 828[/tex]
The number of employees that were laid off is:
[tex]Employee = 828 - 690[/tex]
[tex]Employee = 138[/tex]
Hence, 138 employees were laid off
Read more about proportions at:
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Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (25 x) degrees. Angle T S R is (57 + x) degrees. Exterior angle T R Q is (45 x) degrees.
Answer:
x = 3
Question: Find the value of x.
Step-by-step explanation:
Given:
- Triangle R T S is sitting on a horizontal line
- Line S R extends through point Q to form exterior angle T R Q
- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°
Lets find the value of x
∠TRQ is an exterior angle of Δ RTS at the vertex R
The opposite interior angles to vertex R are ∠RTS and ∠TSR
∴ m∠TRQ = m∠RTS + m∠TSR
m∠TRQ = (45 x)°
m∠RTS = (25 x)°
m∠TSR = (57 + x)°
Substitute these measures in the equation above
45 x = 25 x + 57 + x
45 x = 26 x + 57
19 x = 57
x = 3
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through points (3, StartFraction 108 Over 5 EndFraction), (2, 36), (1, 60), (0, 100). Which function represents the given graph?
Answer:
y=100*[tex]0.6^{x}[/tex]
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2021
solve for n n + 1 equals 4(n - 8)
Answer:
n = 11
Step-by-step explanation:
Step 1: Distribute
n + 1 = 4n - 32
Step 2: Isolate n
1 = 3n - 32
3n = 33
n = 11
And we have our final answer!
Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).
Answer:
There is one point: A (x, y) = (2, 0)
Step-by-step explanation:
A point of the square OABC is invariant only if its location coincides with location of the rotation axis, that is, that such point experiments only rotation, no translation in any form. The center of rotation coincides with the location of one of the vertices of the square and, therefore, there is one invariant point on the perimeter: A (x, y) = (2, 0)
simplify 7^8 x 7^3 x 7^4 / 7^9 7^5
Answer:
7.
Step-by-step explanation:
7^8 x 7^3 x 7^4 / 7^9 7^5
= 7^(8+3+4) / 7^(9+5)
= 7^15 / 7^14
= 7^(15-14)
= 7.
Answer:
7
Step-by-step explanation:
When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:
[tex]7^8 * 7^3 * 7^4 = 7^{15}[/tex]
Now, look at the rest of the simplified equation and do the same to the denominator:
[tex]\frac{7^{15}}{7^9*7^5}[/tex] ⇒ [tex]\frac{7^{15} }{7^{14} }[/tex]
When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer [tex]7^{15-14}[/tex] = [tex]7^1[/tex] = [tex]7[/tex]
Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased? On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Answer:
The most correct option is;
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28)
Step-by-step explanation:
The equation is c = 10 + 3·t
When we substitute t = 0 we have the y-intercept given by c = 10 + 3 × 0 = 10
When we substitute c = 0 we have the x-intercept given by 0 = 10 + 3 × t
t = -10/3
Which gives the graph in slope and intercept form as c = 3·t + 10, where 3 is the slope
Given the accuracy of the data points, the graph with solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28) has the slope given by (28 - 10)/(6 - 0) =3 Which agrees with the above solution. therefore, the most correct option is On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28)
Answer:
B. (the second graph)
Step-by-step explanation:
what kind of expression is (15-5x)/x^2 -9x +18?
Step-by-step explanation:
Hope this is correct
HAVE A GOOD DAY!
2. The average temperature for 3 days was 20°. What must the temperature be on the fourth day to raise the average
temperature for the four days to 20.5°?
Answer:
22
Step-by-step explanation:
20.5x4=82
82-(20x3)=82-60=22
22
(c) The price of a business ticket for the same journey with another airline is $2240.
(i) The price of a first class ticket is 70% more than a business ticket.
Calculate the price of this first class ticket.
Å
First you have to calculate 70% of $2240...
[tex] = \frac{70}{100} \times 2240[/tex]
[tex] = 7 \times 224[/tex]
[tex] = 1568[/tex]
Here's your answer girlfriend ❤️
Please follow me...........
A
cylindrical container has a diameter of 14cm and
height 7cm - Calculate the volume
of the container.
Answer:1078cm^3
Step-by-step explanation:
Formula=pie r^2 h
Pie= 22/7
R=diameter/2=14/2=7
R^2=49
H=7
22/7 x 49 x 7
7546/7
1078 cm^3
Q3: Determine the difference 34.7 – (–8.6). Determine la diferencia para 34.7 - (–8.6).
Determine the difference of 34.7 - (-8.6).
Since there are two negative signs, it cancels out, and becomes an adding sign or a positive.
Thus, it is now, 34.7 + 8.6
Solve:
34.7 + 8.6 = 43.3
Therefore, the difference of 34.7 - (-8.6) is 43.3
Calculate the mean and standard deviation of the data set ...
Answer:
Mean: 12.9
Standard deviation: 14.8
Step-by-step explanation:
The mean is calculated adding all of the values and dividing by the number of elements:
[tex]m=\frac{2+3+7+12+1+4+27+49+11}{9}=\frac{116}{9}=12.9[/tex]
to find the standard deviation, we first find the variance (which is defined as the sum of all the elements subtracting the mean and squared and then dividing by the total amount of elements):
[tex]v=\frac{(2-12.9)^2+(3-12.9)^2+(7-12.9)^2+(12-12.9)^2+(1-12.9)^2+(4-12.9)^2+(27-12.9)^2+(49-12.9)^2+(11-12.9)^2}{9}\\[/tex]
[tex]v=\frac{1978.89}{9}\\[/tex]
[tex]v=219.88[/tex]
Noe that we have the variance, we can calculate the standard deviation.
The stardard deviation is defined as the squared root of the variance:
[tex]standardDeviation=\sqrt{v}[/tex]
we substitute the variance:
[tex]standardDeviation=\sqrt{219.88} \\standardDeviation=14.8[/tex]
Thus, the answer is:
Mean: 12.9
Standard deviation: 14.8
a rectangle has an area of 40 sq units , then length is 6 units greater than the width
Answer:
A=L*W
Let w be width
L=(w+6)
40=(w+6)*w
40= w^{2} +6w
w^{2} +6w-40=0
w^{2}+10w-4w-40=0
w(w+10)-4(w+10)=0
(w-4)(w+10)=0
w=4
Length= 10 units
Width=4 units
Step-by-step explanation:
Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.
Answer:
19/5
Step-by-step explanation:
Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.
Para hacer esto, agregamos todas las millas recorridas.
Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.
La fracción impropia es así (5 * 3) + 4/5 = 19/5
Which of the following is a solution of y - x < -3?
Answer:
x > 3+yStep-by-step explanation:
[tex]Subtract- y- from- both -sides.\\-x (less than)-3-y\\2 Multiply both sides by -1.\\x (greater than ) 3+y[/tex]
Answer:
x > 3+y
Step-by-step explanation:
