Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
Find the multiplicative inverse of -2/15
Answer:
-15/2
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Aaron contributes $3,000 annually toward an IRA. A projected annual return is 7.2%. What is the future value in 5 years?
$15,000.00
$17,321.20
$41,666.67
$108,000.00
Answer:
FV= $17,321.20
Step-by-step explanation:
Giving the following information:
Annual deposit (A)= $3,000
Number of periods (n)= 5 years
Interest rate (i)= 7.2% = 0.072
To calculate the future value (FV), we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {3,000*[(1.072^5) - 1]} / 0.072
FV= $17,321.20
x – 3 + 9x + 7 what is the awnser
Answer:
10x+4 or 2(5x+2)
Step-by-step explanation:
you just add
Answer:
Guide for how to get your answer and your answer
step 1
Find roots (zeroes) of : F(x) = x3-9x-7
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -7.
step 2
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,7
Lets test
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-7 1 -7.00 -287.00
1 1 1.00 -15.00
7 1 7.00 273.00
found no rational roots.
(end equation of part 2) x3 - 9x - 7 = 0
step 4
Solve x3-9x-7 = 0
We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).
The function is F(x) = x3 - 9x - 7
At x= -3.00 F(x) is equal to -7.00
At x= -2.00 F(x) is equal to 3.00
Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl, F(x) is zero,
(1) Find a point "Left" where F(Left) < 0
(2) Find a point 'Right' where F(Right) > 0
(3) Compute 'Middle' the middle point of the interval [Left,Right]
(4) Calculate Value = F(Middle)
(5) If Value is close enough to zero goto Step (7)
Else :
If Value < 0 then : Left <- Middle
If Value > 0 then : Right <- Middle
Next Middle will get us close enough to zero:
F( -0.844759464 ) is -0.000000848
The desired approximation of the solution is:
x ≓ -0.844759464
0.844759464 is your answer..
Step-by-step explanation:
Classity each sequence as arithmetic, geometric, or neither by dragging it into the correct box
Answer:
✔️The arithmetic sequence: 16, 11, 6, 1, -4. . .
✔️The Geometric Sequence: ⁵/9, ⁵/3, 5, 15, 45 . . .
✔️Neither is: ½, 1, 2, 3, 4 . . .
Step-by-step explanation:
In an arithmetic sequence, a constant number called common difference is added or subtracted from each term to get the next successive term in the sequence.
On the other hand, in a geometric sequence, a constant number called common ratio is used to multiply or divide each term to get the next successive term in the sequence.
✔️The arithmetic sequence is:
16, 11, 6, 1, -4. . .
This is because it has a common difference of -5. Thus, 5 is subtracted from each term to get the next successive term.
✔️The Geometric Sequence is:
⁵/9, ⁵/3, 5, 15, 45 . . .
The common ratio is 3. Each term is multiplied by 3 to get the next successive term in the sequence.
✔️Neither is:
½, 1, 2, 3, 4 . . .
This sequence lacks either a common difference or a common ratio.
Which Exponentail expression represents The numerical expression 1/12 . 1/12 . 1/12 . 1/12?
Answer:
1/12^4 the for is small and raised
Step-by-step explanation:
türk olan var mı
yani benden başka
Answer:
English translation please.....
The perpendicular bisector of ABC intersect at point G and are shown in blue. Find BG
Answer:
9
Step-by-step explanation:
I got it correct.
Anyone good with slopes?
Answer:
4
Step-by-step explanation:
Luiza starts collecting rare coins. In the first month of her collection, she has 25 coins. Each month since then, she has added 2 coins to her collection. How many coins will she have after 2 years?
Answer: 71 coins
Step-by-step explanation:
First and foremost, we should note that:
12 months = 1 year
2 years = 12 × 2 = 24 months
Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:
= 25 + 2x
where, x = number of months
= 25 + 2(23)
= 25 + 46
= 71 coins
She will have 71 coins after 2 years.
Write the equation of this line in Point-Slope Form.
Answer:
y -3 = (-1/2)(x - 5)
Step-by-step explanation:
Slope of line: Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1. Thus, the slope is m = -1/2.
Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:
y -3 = (-1/2)(x - 5)
please... help idk what its asking.
Answer:
1.88, good luck for you
help plzzzzzzzzzzzzzzzzz
:))
Find the values of X and Y.
Given:
A figure.
To find:
The value of x and y.
Solution:
In triangle ADC, all angles are equal, so it is an equilateral triangle.
We know that, all sides of an equilateral triangle are equal.
[tex]AD=AC[/tex] ...(i)
[tex]3x-5=5y-4[/tex] ...(ii)
In triangle ABD,
[tex]\angle BAD=\angle ABD[/tex]
Base angles are equal, so triangle ABD is an isosceles triangle.
[tex]AD=BD[/tex] ...(iii)
Using (i) and (iii), we get
[tex]AC=BD[/tex]
[tex]5y-4=y+12[/tex]
[tex]5y-y=4+12[/tex]
[tex]4y=16[/tex]
Divide both sides by 4.
[tex]y=4[/tex]
Putting y=4 in (ii), we get
[tex]3x-5=5(4)-4[/tex]
[tex]3x-5=20-4[/tex]
[tex]3x-5=16[/tex]
Adding 5 on both sides, we get
[tex]3x=16+5[/tex]
[tex]3x=21[/tex]
Divide both sides by 3.
[tex]x=7/tex]
Therefore, the value of x is 7 and the value of y is 4.
Complete the statements about the key features of the graph of f(x) = x5 – 9x3.
As x goes to negative infinity, f(x) goes to ________ infinity, and as x goes to positive infinity, f(x) goes to _______ infinity.
Answer:
Negative and positive
Step-by-step explanation:
Complete the statements about the key features of the graph of f(x) = x5 – 9x3.
As x goes to negative infinity, f(x) goes to "NEGATIVE" infinity, and as x goes to positive infinity, f(x) goes to "POSITIVE" infinity.
The complete statement is:
As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity
The function is given as:
[tex]f(x) = x^5 - 9x^3[/tex]
Set x to 2
So, we have:
[tex]f(2) = 2^5 - 9(2)^3[/tex]
[tex]f(2) = -40[/tex]
Set x to 5
[tex]f(5) = 5^5 - 9(5)^3[/tex]
[tex]f(5) = 2000[/tex]
Notice that, as the value of x increases from 2 to 5, the function increases from -40 to 2000
Hence, the texts that complete the blanks are (a) negative and (b) positive, respectively
Read more about function behaviors at:
https://brainly.com/question/24114085
3. A price plus 6% tax is equal to $4.24. Find the original price.
Answer:
$4.00
Step-by-step explanation:
(1.06) = 4.24
x= 4.24/1.06
x= $4.00
Braulio and Alejandro are siblings. Three years from now, Braulio will be 3 times Alejandro's present age. At that time, Alejandro will then be half as old as Braulio. How old are Braulio and Alejandro? Show all work and circle your final answers
Answer: Braulio is 15 years old, and Alejandro is 6 years old.
Step-by-step explanation:
Let's define:
B = Age of Braulio
A = Age of Alejandro.
"Three years from now, Braulio will be 3 times Alejandro's present age"
We can write this as:
B + 3 = 3*A
"At that time, Alejandro will then be half as old as Braulio"
A + 3 = (B + 3)/2
Then we have a system of equations:
B + 3 = 3*A
A + 3 = (B + 3)/2
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate A in the second equation:
A = (B + 3)/2 - 3
Now we can replace this in the other equation to get:
B + 3 = 3*A
B + 3 = 3*((B + 3)/2 - 3)
B + 3 = (3/2)*B + 9/2 - 9
Now let´s move all the terms with B to the left side, and the other terms to the right side.
B - (3/2)*B = 9/2 - 9 - 3
-(1/2)*B = 9/2 - 18/2 - 6/2 = -15/2
B = (-2)*(-15/2) = 15
Braulio is 15 years old.
And from the first equation:
B + 3 = 3*A
15 + 3 = 3*A
18 = 3*A
18/3 = A = 6
Alejandro is 6 years old.
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answer:
32%
Step-by-step explanation:
It's timed plzzz help!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Area = 1/2 a * p
Multiply both sides by 2
2*A = ap
Divide by p
2A / p = a
D
Answer: D
Step-by-step explanation:
Plz help me
will give the brainliest!
Urgent!!!
Please answer correctly
Please help me!!
Step-by-step explanation:
1-a ,2-c,3_d
i thibk is you're answer
What is the slope between these two points? (-5, 2) and (2,8). You must show your work for this problem. *
Answer:
6/7
Step-by-step explanation:
Given the points :
(-5, 2) and (2, 8)
Slope can be obtained by using the relation :
(y2 - y1) / (x2 - x1)
From the points given :
x1 = - 5 ; y1 = 2 ; x2 = 2 ; y2 = 8
(8 - 2) / (2 - (-5))
(8 - 2) / (2 + 5)
6 / 7
Hence, slope between the two points = 6/7
Alina and Asim share Rs 210 in the ratio 2:5. How much money did each of them get?
Answer:
Step-by-step explanation:
Alina=2x---eq(1)
Asim=5x----eq---(2)
So,we get
2x+5x=210
7x=210
x=30
Now,Putting '30' in eq 1 and eq 2
2*30=60
5*30=150
Therefore Alina got 60 Rs while Asim got 150 Rs
how many ventices are there in a cuboid
8
Step-by-step explanation:
By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.
Answer:
there are 8 6+8=12+2 vertices, and 12 edges
James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?
Answer:
It takes 1 year.
Step-by-step explanation:
You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :
[tex]I = \frac{PRT}{100} [/tex]
[tex]200 = \frac{4000 \times 5 \times T}{100} [/tex]
[tex]20000 = 20000T[/tex]
[tex]T = 1[/tex]
We, know that :
[tex] \underline{\boxed{\sf Interest \: amount = \dfrac{Principal \times Rate \times Time}{100}}}[/tex]
[tex] \underline{\boxed{\sf I = \dfrac{P \times R \times T}{100}}}[/tex]
By putting values, we have
[tex] \sf : \implies 200 = \dfrac{4000 \times 5 \times T}{100}[/tex]
[tex] \sf : \implies 200 \times 100 = 20000 \times T[/tex]
[tex] \sf : \implies 20000 = 20000 \times T[/tex]
[tex] \sf : \implies \cancel{\dfrac{20000}{20000}} = T[/tex]
[tex] \sf : \implies 1 = T[/tex]
[tex] \underline{\boxed{\sf T = 1 \: year}}[/tex]
It takes 1 year for him to earn $ 200 in simple interest.
Find the value
[tex](2x)0[/tex]
[tex] \bf {(2x)}^{0} = 1[/tex]
The rule is that any number raised to the power of 0 equals to 1.
So if 2 or 1,000,000 is raised to the power of 0 it equals 1.
But 0 to the power 0 is undefined!
0 to any positive power is 0, so 0 to the power 0 should be 0. But any positive number to the power 0 is 1, so 0 to the power 0 should be 1. We can't have it both ways. Underlying this argument is the same idea as was used in the attempt to define 0 divided by 0.
make m the subject of g-3m=am+5
Answer:
m = (g - 5) / (a + 3)
Step-by-step explanation:
g-3m=am+5
Get all the m's on one side.g - 5 = am + 3m
Combine the m's into one term, using bracketsg - 5 = (a + 3)m
Get m on it's own by dividing by a + 3(g - 5) / (a + 3) = m
Answer:
[tex]\displaystyle m=\frac{g-5}{3+a}[/tex]
Step-by-step explanation:
Equation Solving
To solve an equation for a specific variable, we perform a sequence of steps to have that variable isolated or make it the subject of the equation.
We are given the expression:
[tex]g - 3m=am+5[/tex]
And it's required to make m the subject of the equation. This means we have to isolate m at the left side of the equation.
First, multiply both sides by -1;
[tex]-g + 3m=-am-5[/tex]
Add am:
[tex]-g + 3m+am=-5[/tex]
Add g:
[tex]3m+am=-5+g[/tex]
The variable m is found in both term, thus we factor it out:
[tex]m(3+a)=g-5[/tex]
Dividing by 3+a:
[tex]\mathbm{\displaystyle m=\frac{g-5}{3+a}}[/tex]
The sum of 6 consecutive integers is 387. What is the sixth number in the sequence?
1
A line has a slope of -2 and a y-intercept of -2.
00
ANO
WS
A
9
19
4
-2
+
5
8
8
Х
ky
43
-6
8
-7
What is the x-intercept of the line?
Answer:
- 1
Step-by-step explanation:
y = mx + b ( "m" is slope and "b" is y-intercept )
The equation of a given line is
y = - 2x - 2
Coordinates of x-intercept are ( x, 0 ) ⇒ 0 = - 2x - 2 ⇒ x = - 1
The x-intercept of the line is ( - 1 )
The distance traveled can be calculated using the formula D=s.t where s is the speed
and t is the total time. If a bus traveled 45 km/h for 5 hours, how far did the bus travel?
Answer:
225 km
Step-by-step explanation:
D=S*T
D=45*5=225
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
find the value of x
guys please give only right answer.....ᕦ⊙෴⊙ᕤ
Answer:
x=2
Step-by-step explanation:
25/625 is 1/25
1/25 = 1/5^x
1/5 =sqrt 1/25 and that is 2
so x=2.
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Joshua has at most 10 dollars a cab company will charge him 4 dollars flat and a rate is 1.25 for each mile driven write and solve and inequality for the above situation
Answer:
4.8 miles
Step-by-step explanation:
First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.