Step-by-step explanation:
the answer is in the image above
The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30 is.
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
What is a magic square?A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.
Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:
Step 1: Write the partially filled magic square:
Step 2: Calculate the sum of the known numbers:
Step 3: Calculate the sum of the missing numbers:
Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.
We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.
We can check that all rows, columns, and diagonals add up to 30:
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
Learn more about magic square here:
https://brainly.com/question/28675556
#SPJ2
What is the area for the circle?
Answer:
108 squared centimeters
Step-by-step explanation:
Let's exchange π for 3:
area = πr^2
= 3r^2
Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:
area = 3r^2
= 3 · 6^2
Simplify 6^2:
area = 3 · 6^2
= 3 · 36
Multiply 3 by 36:
area = 3 · 36
area = 108
108 squared centimeters
Select the reason why these triangles are
similar. If they are not, select "Not similar."
1
88°
3
2
88
6
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
B. SAS
Step-by-step explanation:
Ratio of sides equal:
• 4/2= 6/3
So the 2 sides are congruent and also share same angle between.
• B. SAS is the similarity reason
Help pls ?? I really don’t know what to do
Answer:
The answer is "C" f(x)= x+ 4 and g(x)= x^3 - 1
Step-by-step explanation:
all you have to do is replace the x in "G" with the "F" function
F(x) = x+4 and G(x) = x^3-1
===========================================================
Explanation:
Let's try choice A to see if it works or not
G(x) = (x+4)^3
G( F(x) ) = ( F(x)+4 ) ^3 .... replace every x with F(x)
G( F(x) ) = ( x-1+4 ) ^3 .... plug in F(x) = x-1
G( F(x) ) = (x+3)^3
This isn't the same as (x+4)^3 - 1. You can confirm this with a graph or a table of values. We cross choice A off the list.
------------
Let's try choice B
G(x) = x+4
G( F(x) ) = F(x)+4
G( F(x) ) = x^3-1 + 4
G( F(x) ) = x^3 + 3
Similar to choice A, this isn't the same as (x+4)^3-1. We can cross this off the list as well.
--------------
Now choice C
G(x) = x^3 - 1
G( F(x) ) = ( F(x) )^3 - 1
G( F(x) ) = (x+4)^3 - 1
We found the final answer.
Which Venn Diagram is NOT correct?
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that:
She plans to drive 400 miles.
She has at most $210 to spend.
Use the drop-down menu below to write an inequality representing dd, the total number of days Claire can rent the car while staying within her budget.
The required inequality that expresses the given condition is 36 + 29x ≤ 210.
Given that,
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that she plans to drive 400 miles. she has at most $210 to spend.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the number of days be x,
Total cost to drive 400 miles = 400(0.09) = $36.
According to the question,
36 + 29x ≤ 210
Thus, the required inequality that expresses the given condition is 36 + 29x ≤ 210.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ5
Help! ASAP. The question is in the attachment below
Answer:
Step-by-step explanation:
The most obvious answer is the line y = 1.
Taehyung was sitting on the ground flying a kite. He had 22 feet of line let out to fly his kite, and the kite was 14 feet in front of him. How high was the kite?
30^∘ Another boy is standing on the roof of a 10 second string be x mIn Δ ABC sin 30^∘ = AC/AB 1/2 = AC/100 AC =
Answer: hope this helps ♡
The kite was 16.9 feet high.
Step-by-step explanation:
Pythagorean theorem
b = [tex]\sqrt{c^{2} - a^{2} }[/tex]
b = [tex]\sqrt{22^{2} - 14^{2} }[/tex]
b = [tex]\sqrt{484 - 196}[/tex]
b = [tex]\sqrt{288}[/tex]
b = 16.9
[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]
which of the following functions are an example of exponential decay???
Answer:
C. II only
Step-by-step explanation:
iyzgkxhldlufulduo
3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.
To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
after 89 years
Step-by-step explanation:
For principal p, interest rate r, and number of years t, the two account balances are ...
a = p·e^(rt) . . . . continuous compounding
a = p(1+r)^t . . . . annual compounding
Using the given values, we have
3000·e^(0.07t) . . . . . compounded continuously
20000·1.05^t . . . . . . compounded annually
We want to find t so these are equal.
3000·e^(0.07t) = 20000·1.05^t
0.15e^(0.07t) = 1.05^t . . . . divide by 20,000
ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms
ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t
t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t
t ≈ 89.4 ≈ 89
The two accounts will have the same balance after 89 years.
40) what is the area of a rectangular porch measuring 8 ft x 12/f
45) Create a stem and leaf plot to represent this set of data.
30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,
please make sure to answer both questions
30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
Answer:
916.11 ft³
Step-by-step explanation:
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
The inequalities x < -5 and -X > -5 are the same.
True
False
QUESTION-:
The inequalities x < -5 and -X > -5 are the same.
True
False
ANSWER-:
FALSE
!! HOPE ITS HELP U !!
Geometry, please answer question ASAP
Answer:
A
Step-by-step explanation:
The inscribed angle IJK is half the measure of its intercepted arc, so
arc IK = 2 × 75° = 150°
The 3 arcs sum to 360° , then
arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A
(
−
2
,
2
)
(−2,2) under a translation is
(
−
3
,
5
)
(−3,5). Find the coordinates of the image of the point
(
−
3
,
1
)
(−3,1) under the same translation.
Answer:
kslskd बोडलालामसूनिविवल
From the Rule y = -4x+1 fill in the following table
Answer:
y: 1, -3, -7, -11, -15
Step-by-step explanation:
Substitute the value of x in the chart for the formula given:
y = -4x + 1
For the first column in the x-row, do the following
y = -4(0) + 1
y = 1
And...
y = -4(1) + 1
y = -3
And so on.
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
Answers:
Domain is (-4, 3]Range is (-5, 5]=====================================================
Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that [tex]-4 < x \le 3[/tex]. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval [tex]-4 < x \le 3[/tex] then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
--------------------------------------------------
The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is [tex]-5 < y \le 5[/tex]. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
Hello,
Step-by-step explanation:
Domain(f)= ]-4;3]={x€R | -4<x≤3}
Rang(f)=]-5;5]={y€R | -5< y ≤5}
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:
Answer:
Both Ava and Finn are correct
Step-by-step explanation:
There are 4 tables and 9 pencils at each table
4 ( 9) = 36
9 * 4 = 36
Both Ava and Finn are correct
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
for what value of x does 4^x=(1/8)^x+5?
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.
According to the question;
We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.In essence, x is the no. of miles driven in this scenario.
By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.
Read more:
https://brainly.com/question/2319353
3x (x - 2) = x^2 - 4
Answer:
x = 1, x = 2
Step-by-step explanation:
Given
3x(x - 2) = x² - 4 ← distribute parenthesis on left side
3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )
2x² - 6x + 4 = 0 ( divide through by 2
x² - 3x + 2 = 0 ← in standard form
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)
The factors are - 1 and - 2 , since
- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
= X
20
100
60
Please help me
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
Hey guys ♡
hw r u all doin
pls solve this question for me ⤵️
(m-1)/2 - (m-2)/3 = ( m - 4 )/7
Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
In the diagram, what is the measure of angle 1 to the nearest degree?
33 degrees
55 degrees
75 degrees
105 degrees
Answer:
75 degrees
Step-by-step explanation:
From the first part of the diagram,
vertically opposite angles are equal,
hence we have
125° + (4x-5)° + 125° + (4x-5)° = 360°
(Angles about a point equals 360°)
4x – 5 + 4x – 5 + 125 + 125 = 360
8x + 250 – 10 = 360
8x = 360–250 + 10
8x = 120
x = 15°
Now we have (5x)° in the second part.
5x = 5 × 15 = 75°
1 is vertically opposite to angle 75°
hence it is equal to 75 degrees.
Answer:75
Step-by-step explanation:
