Answer:
Area of square = Side²
Step-by-step explanation:
The area of a 2-D region, form, or flattened lamina in the planes is the quantity that represents its extent. On the 2-D surface or 3-D object, surface is its counterpart. A shape's area can be calculated by comparing it to squares of a specific size.
Area of square = Side²
For each of the following properties write down a matrix that has this property or explain why there is no such matrix (Hint: Check first whether the dimensions add up)
(a) The column space contains (1,0,0)T, (0,0,1)T while the row space contains (1,1)T and (1, 2)T.
(b) The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T
(c) The column space is R4 and the row space is R3.
Answer:
a) A = [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2
b) attached below ( Matrix dose not exist )
c) attached below ( Matrix does not exist )
Step-by-step explanation:
a) Matrix
A = [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2
From the matrix ; Column 1 and Column 2 Belong to COL(A)
while : (1,1)^T = ( 1,0 )^T + ( 0,1 )^T i.e. (1,1)^T ∈ Row( A )
and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T i.e. (1, 2)^T ∈ Row( A )
Hence ; all requirements are fulfilled in Matrix A
b) The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T
Matrix is Non-existent because condition is not met
attached below
c) Rank | A |
dimension of column space= 4 , dimension of Row space = 3
Given that ; column space ≠ Row space
Hence Matrix does not exist
What is the standard form of y - 8 = 2(x + 3)
Answer:
y=2x+14
Step-by-step explanation:
y=2x+2.3+8=2x+14
(») Evaluate the expression.
* * (4 + 8)
Answer:
6
Step-by-step explanation:
work out the brackets first....4+8=12
the multiply 1/2 by 12
1/2 x 12 = 6
A father and his son decide to sum their ages. The sum is equal to sixty years. Six years ago, the age of the father was five times the age of his son. Six years the son's age will be?
I will mark as brainlist plzzzzz
Solve the question I know the answer but i cannot solve it..
I can tell you that ans is 16.8 years but solve...
Answer:
20
Step-by-step explanation:
Let father's age be x
let son's age be y
x + y = 60 - (eq 1)
Six years ago,
(x - 6) = 5(y - 6) -(eq 2)
From (1)
x = 60-y
Therefore, 60-y - 6= 5y - 30
y = 14
in six years, y = 20
Which is correct?????????????
Answer:
It discusses the role of the God in influencing our decisions
Answer:
I believe it is choice D
Step-by-step explanation:
in the excerpt it talks about how sight gives us the ability to observe and experience. it also states "we prefer sight to almost everything else." hope I'm right! ☺️
The following data represent the weights in pounds of a sample of 25 police officers:
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
Required:
a. Determine the location and value of the lower quartile of the weights
b. Determine the location and value of the upper quartile of the weights.
c. Find the interquartile range of the weights.
Given:
The data values are:
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
To find;
a. Lower quartile.
b. Upper quartile.
c. Interquartile range.
Solution:
We have,
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, 171.
Arrange the data values in ascending order.
134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157, 162, 163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177.
Divide the data values in two equal parts.
(134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177)
Divide each parentheses in two equal parts.
(134, 137, 140, 145, 146, 148), (151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169), (171, 172, 173, 174, 174, 177)
a. Location of lower quartile is:
[tex]Q_1=\dfrac{1}{4}(n+1)\text{th term}[/tex]
[tex]Q_1=\dfrac{1}{4}(25+1)\text{th term}[/tex]
[tex]Q_1=\dfrac{26}{4}\text{th term}[/tex]
[tex]Q_1=6.5\text{th term}[/tex]
The lower quartile of the weights is:
[tex]Q_1=\dfrac{148+151}{2}[/tex]
[tex]Q_1=\dfrac{299}{2}[/tex]
[tex]Q_1=149.5[/tex]
Therefore, the location of the lower quartile of the weights is between 6th term and the 7th term. The value of the lower quartile is 149.5.
b. Location of upper quartile is:
[tex]Q_3=\dfrac{3}{4}(n+1)\text{th term}[/tex]
[tex]Q_3=\dfrac{3}{4}(25+1)\text{th term}[/tex]
[tex]Q_3=\dfrac{3\cdot 26}{4}\text{th term}[/tex]
[tex]Q_3=19.5\text{th term}[/tex]
The upper quartile of the weights is:
[tex]Q_3=\dfrac{169+171}{2}[/tex]
[tex]Q_3=\dfrac{340}{2}[/tex]
[tex]Q_3=170[/tex]
Therefore, the location of the upper quartile of the weights is between 19th term and the 20th term. The value of the upper quartile is 170.
c. The interquartile range of the given data set is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=170-149.5[/tex]
[tex]IQR=20.5[/tex]
Therefore, the interquartile range of the weights is 20.5.
5.3x-4=15.61 solve for x please
Answer:
x = 3.7
Step-by-step explanation:
15.61 + 4 = 19.61
19.61 divided by 5.3 = 3.7
Therefore, x = 3.7
Also because it syas "5.3x", it means you have to times that number and x to get the total number; so we can do the equation.
look at attachment below
A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise,
Find the expected winnings for this game.
The expected winnings for this game are
(Round to the nearest hundredth.)
1
m
21
m
se
?
Enter your answer in the answer box.
Answer:
$3.50
Step-by-step explanation:
Given:
$10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise
P(6) = 1/6 ; p(5) = 1/6 ; p(4) = 1/6 ; p(1,2or3) = 3/6 = 1/2
P(x) ____ 1/6 _____ 1/6 _____1/6 _____1/2
x______ 10 _______ 7 _____ 4 _______ 0
Expectwd value ; E(x)
Σx*p(x) = (1/6 * 10) + (1/6 * 7) + (1/6 * 4) + (1/2 * 0)
E(x) = 3.50
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
Answer:
m = +/- 12
Step-by-step explanation:
A quadratic function has only one x-intercept when the discriminant is equal to 0. The discriminant is b^2 - 4(a)(c).
When we plug in what we know, we have:
m^2 - 4(18)(2) = 0.
Then using algebraic properties, solve for m.
m^2 - 144 = 0
m^2 = 144
m = +/- 12
When you plug in positive or negative 12, and then factor you will see that it comes out to a difference of squares, proving that there is only one x-intercept.
Answer: C
Step-by-step explanation:
EDGE 2023
HELP PLEASE 20points!!!
At a high school, 9th and 10th graders were asked whether they would prefer
robotics or art as an elective. The results are shown in the relative frequency
table.
Answer:
61%
Step-by-step explanation:
We can see that out of all the people that were surveyed, 54% were 10th graders. Since 33% out of all the ones surveyed were 10th graders that chose robotics, the fraction would be 33/54 which is 0.611.
This is 61% approx.
Answer:
61%
Step-by-step explanation:
A P E X
Which of the following graphs show a
proportional relationship?
Choose all answers that apply:
Help me please I only have 20min left to do this
Answer:
A
Step-by-step explanation:
A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean, µ for the probability distribution.
x P(x)
-500 0.076
-250 0.191
0 0.265
250 0.316
500 0.152
Answer:
The mean is [tex]\mu = 69.25[/tex]
Step-by-step explanation:
We are given the following distribution:
P(x = -500) = 0.076
P(x = -250) = 0.191
P(x = 0) = 0.265
P(x = 250) = 0.316
P(x = 500) = 0.152
Find the mean, µ for the probability distribution.
To find the mean, we multiply each outcome by its probability. So
[tex]\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25[/tex]
The mean is [tex]\mu = 69.25[/tex]
It costs $21.50 to enter an amusement park and $0.50 to ride a ride. You have $24. Write an equation that represents the number r of rides you can ride.
Answer:
$24.00=$21.50+r*$.50
Step-by-step explanation:
total cost= entrance fee + r (number of rides) * $0.50 (cost of rides)
$24.00=$21.50+r*$.50
2.50=r*.50
2.5/.5=r
r=5
For how many minutes did Lynn run at a greater speed
than Kael?
0 12
O 17
O 23
O 28
Answer:
D. ✔ 28
Step-by-step explanation:
E 2021
What is 6 divided by 3/8
Answer:
16 (sixteen) is 6 divided by 3/8.
I need help help help
Answer:
use app Gauthmath its will give you the answer
Two triangles have the same area. One triangle has a base of 4 cm and a height of 7 cm. If the height of the other triangle is 14 cm, then what is its base length?
3 cm
2 cm
4 cm
5 cm
Answer:
x = 2
Step-by-step explanation:
→ Work out the area of the first triangle
0.5 × 4 × 7 = 14
→ Set up an equation for the second base
0.5 × x × 14 = 14
→ Simplify
7x = 14
→ Divide both sides by 7
x = 2
Answer:
option B = 2cm
Step-by-step explanation:
[tex]Area \ of \ first \ triangle = \frac{1}{2} \times base_1 \times height_1 \ [ \where base_1 = 4\cm \ height_1 \ = 7cm \ ][/tex]
[tex]=\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2[/tex]
Given area of second triangle is same as first.
[tex]Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2 \ [ \ where \ height _ 2 = 14cm \ ][/tex]
[tex]14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm[/tex]
What should the m<3 be for —- ?
9514 1404 393
Answer:
m∠3 = 63°
Step-by-step explanation:
Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. The obtuse and acute angles are supplementary.
Angle 1 is an obtuse angle; angle 3 is an acute angle.
angle 3 = 180° - angle 1 = 180° -117° = 63°
The measure of angle 3 is 63°.
_____
Additional comment
There are a number of applicable theorems describing the different angle relationships. Taken together, they are summarized by the first statement above. For example, we could declare angles 1 and 4 to be "corresponding" (hence, congruent), and angles 4 and 3 to be a "linear pair", hence supplementary. The net result is that angle 1 is supplementary to angle 3, as we said above.
We could also get there via relations between alternate exterior angles, alternate interior angles, consecutive exterior or interior angles, and other ways. While that terminology is useful to understand in some problems, it is largely irrelevant here.
Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 6)
Answer:
-5 =x
Step-by-step explanation:
0 = In(x + 6)
Raise each side to base e
e^0 = e^ ln (x+6)
1 = x+6
Subtract 6 from each side
1-6 = x
-5 =x
PLEASE HELP!! I WILL GIVE BRAINLIEST AND POINTS!!
The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
f(x) = -x2 - 6x
Answer:
Rewrite in vertex form and use this form to find the vertex
Rewrite in vertex form and use this form to find the vertex
(h,k).(−3,9)
Step-by-step explanation:
What are the solutions to this equation?
-7 + (x2 – 19) = 20
-10
5.6
There are no solutions.
10
-5.6
simplify 4x-x squared ÷2x-x squared
Answer:
[tex] \frac{4x - x}{2x - x} \\ = \frac{x(4 - 1)}{x(2 - 1)} \\ = \frac{3}{1} \\ = 3[/tex]
Answer:
[tex]\frac{7x}{3} \\[/tex]-[tex]x^{2}[/tex]
Step-by-step explanation:
Will mark brainliest if CORRECT
4.27cm rounded to the nearest cm
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]4.27\text{cm} \approx\boxed{4\text{cm}}[/tex]
»»————- ★ ————-««
Here’s why:
We would locate the whole number and look at the number to the right. In this case, we would look at the '2' in the tenths place.Since it is less than or equal to 4, we would round down.⸻⸻⸻⸻
Recall the Rounding Rules:
If the digit to the right is less than or equal to 4, we round down.If the digit is greater than or equal to 5, we round up.⸻⸻⸻⸻
[tex]\underline{4.27cm}\\\\\rightarrow2\leq 4\\\\\boxed{4.27cm \approx 4cm}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
Daniel traveled further by 2.73 miles
Step-by-step explanation:
To find the total distance traveled simply multiply average speed times time
For Wendy
She traveled for 3.9 hours at a speed of 68.3 mph
So total distance traveled = 3.9 * 68.3 = 266.37 miles
For Daniel
He traveled for 4.5 hours at a speed of 59.8 mph
So total distance traveled = 4.5 * 59.8 = 269.1 miles
As you can see Wendy traveled 266.37 miles and Daniel traveled 269.1 miles
Daniel traveled further
To find how much further we simply subtract distance Daniel traveled (269.1) from distance Wendy traveled (266.37)
269.1 - 266.37 = 2.73
So Daniel traveled further by 2.73 miles
55
3. Patrick paid $20 for 5 peaches. How much did he pay per peach? Show
your work!
Answer:
Step-by-step explanation:
LA EDUCACION ES IMPIRTANTE YA QUE PROMUEVE UN MEJOR DESARROLLO DE LOS NIÑOS,NIÑAS Y ADOLESCENTES QUE LOS HACE FOMENTAR UN VINCULO MUY ESPECIAL CON SUS MAESTROS,COMPAÑEROS QUE LOS HACE SENTIR QUE SON PARTE DE SU FAMILIA ADEMAS ELLOS PASAN LA MAYORIA DE TIEMPO EN LA ESCUELA QUE LOS HACE SENTIRSE MÁS CÓMODOS COMO SI FUERA SU PROPIO HOGAR
Answer:
4 peaches
Step-by-step explanation:
$20/5 = 4 peaches
If you deposit ₱10,000 into an account that earns 5% annual interest compounded semiannually, how long will it take until there is ₱12,000 in the bank account
Answer:
t = 3.69 ≈ 3. 7 years
Step-by-step explanation:
Given :
P = 10,000
r = 5%= 0.05
A = 12,000
n = 2 ( because it is compounded semi - annually )
[tex]A = P (1 + \frac{r}{n})^{nt}\\[/tex]
[tex]12000 = 10000(1 + \frac{0.05}{2})^{2 t}\\\\1.2 = ( 1 + \frac{0.05}{2})^{2t}\\\\1.2 = (1.025)^{2t}\\\\log \ 1.2 = 2t \ log \ 1.025\\\\2t = \frac{log 1.2 }{log 1.025} \\\\2t = \frac{0.1823}{0.0247}\\\\2t = 7.3805\\\\t = 3.69[/tex]
what is the slope of this graph?? :,)
Answer:
1/2
Step-by-step explanation:
This line is going up towards the right- that makes it positive. It is increasing. So it can't be negative or going "down"
The question wants to see if you know the direction of the line.
Elysia has 2 apples she gives 1 to her friend so how many does she have?
Answer:
One Apple.
Step-by-step explanation:
This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1
One apple.
Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given that, Elysia has 2 apples she gives 1 to her friend,
To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,
Number of apples Elysia left with = 2-1 = 1
Hence, Elysia will have one apple.
Learn more about subtraction, click;
https://brainly.com/question/2346316
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