Answer:
[tex]T_{12} = 354294 + 354294i[/tex]
Step-by-step explanation:
Given
Geometric Sequence (GP)
[tex]T_1 = 2 + 2i[/tex]
[tex]r = 3[/tex]
Required
Determine T₁₂
The nth term of a GP is calculated as thus;
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]n = 12[/tex]; [tex]r = 3[/tex] and [tex]a = T_1 = 2 + 2i[/tex]
Substitute these values in the above formula
[tex]T_{12} = (2 + 2i) * 3^{12-1}[/tex]
[tex]T_{12} = (2 + 2i) * 3^{11}[/tex]
[tex]T_{12} = (2 + 2i) * 177147[/tex]
Open the bracket
[tex]T_{12} = 177147 * 2 + 177147 * 2i[/tex]
[tex]T_{12} = 354294 + 354294i[/tex]
Hence, the 12th term of the sequence is [tex]T_{12} = 354294 + 354294i[/tex]
Find the value of x round to the nearest tenth
Answer:
Approximately 18.0.
Step-by-step explanation:
To find x, we can use the Law of Cosines.
The Law of Cosines is the following:
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]
Now that the c is the side we're trying to find. Thus, the c is x. Also, Angle C is the angle opposite to c (or x). a and b are the two sides next to Angle C.
Plug in x for c, 16 for a, 30 for b, and 30 for Angle C:
[tex]x^2=(16)^2+(30)^2-2(16)(30)\cos(30)\\x^2=1156-960\cos(30)\\x=\sqrt{1156-960\cos(30)} \\x\approx18.0171[/tex]
(Use a calculator. Make sure you're in degree mode!)
Answer:
18
Step-by-step explanation:
to be more precise from the answer above :)
bc i know people will type 18.0 in the box when it's actually 18.
What is the slope of line p? On a coordinate plane, a straight line goes through (negative 3, negative 2), (0, 0), and (3, 2). I NEED HELP FAST PLEASE, THANK YOU !!!!!
Answer:
slope = 2/3
Step-by-step explanation:
To find the slope you use this equation:
difference in y / difference in x
so let's take two points you have given
(3,2) and (0,0)
take the difference in y which is both y coordinates so
2-0 = 2
and take the difference in x which is both x coordinates so
3-0 = 3
2/3
Which line is perpendicular to the line shown on the graph?
Answer: Is A in the correct answer
Step-by-step explanation:
The line perpendicular to the line y=2x/3 is Option A) -3x/2+2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, the line passes through the points (0,-1) and (3/2,0)
Thus using the two point form we get the equation of the line as
y=2x/3 +1 with slope =2/3
And in option 1 we have y=-3x/2 + 2 with slope = -3/2 and thus the product of the slopes of the two lines is -3/2 × 2/3 = -1
∴y=2x/3 +1 and y=-3x/2 + 2 are perpendicular.
Hence, The two lines are perpendicular and option A is the correct option.
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Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). What are the coordinates of B? B( , )
Answer:
B' (-2, 3)
Step-by-step explanation:
A(5, 1) to A'(6, -2)
A(6-5, -2-1)
A translation is 1, -3
consider the same translation of B'
therefore, the coordinates of B' is (-2, 3)
Answer:
B. -2, 3
Step-by-step explanation:
edge2021
Which one of the following technological activities would most likely have a negative linear correlation coefficient over the course of the last 5 years? A. the number of text messages sent from a cell phone B. number of phone calls made on a cell phone C. the number of emails sent from a computer D. number of phone calls made on a landline
Answer: D) phone calls made on a landline
More and more people are using cellphones, because of the convenience of having your phone with you at all times. From an economical standpoint, it doesn't make sense to pay for both a cell phone and a landline (especially if your budget is thin). So many people have decided to drop having a landline all together. The less people using a landline produces a negative downward trend, which is why we have negative linear correlation.
The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued or veggie burgers, and 1/3 of the items barbecued or corn cobs, what fraction of barbecued items are mushroom caps?
Answer:
7/24
Step-by-step explanation:
Let
total items barbequed = 1
Veggie burgers = 3/8
Corn cobs =1/3
Mushroom caps = x
Veggie burgers + corn cobs + x = 1
3/8 + 1/3 + x = 1
9+8 /24 + x = 1
17/24 + x = 1
x= 1 - 17/24
=24-17 /24
= 7/24
x = 7/24
Fraction of barbequed items that are mushroom's is 7/24
Answer:7/24
Step-by-step explanation:
what is the image of point (4, -2) after a dilation of 3?
Answer:
(12,-6)
Step-by-step explanation:
Answer:
(12,-6)
Step-by-step explanation:
When dilating points, you multiply both coordinates (x and y) by the scale factor.
The point we are given is: (4,-2) and the scale factor is 3.
Multiply each coordinate by the scale factor of 3.
X-coordinate: 4
4* 3= 12
New X-coordinate: 12
Y-coordinate : -2
-2 * 3= -6
New Y-coordinate: -6
Our new x-coordinate is 12 and y-coordinate is -6. Therefore, our point is (12,-6). So, the image of point (4,-2) after a dilation of 3 is (12, -6).
You want to build a chair that does not rock from side to side when one of the legs is a different length than the others. How
many legs should the chair have?
Answer:
I think 3. The other 2 legs can have the same balance as the different leg.
There will be 3 legs in the chair.
Here,
We want to build a chair that does not rock from side to side when one of the legs is a different length than the others.
We have to find how many legs should the chair have.
How to find balanced position of an object with respect to their mass?
We can find it after observing the center of mass which is a position defined in respect to an object . It is the average position of all the particles of the system, placed according to their masses.
Now,
In order to make non rocked chair from side which has one leg of different length.
We have to place one leg in opposite side of legs of equal lengths to balance the chair.
So, there will be 3 legs in the chair.
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How many times does the graph of 4x = 32 - x2 cross the x-axis ?
ОО
0 1
0 2
What are the solutions to the equation?
Answer:
x=4 orx=- 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4
x
=
−
x
2
+
32
Step 2: Subtract -x^2+32 from both sides.
4
x
−
(
−
x
2
+
32
)
=
−
x
2
+
32
−
(
−
x
2
+
32
)
x
2
+
4
x
−
32
=
0
Step 3: Factor left side of equation.
(
x
−
4
)
(
x
+
8
)
=
0
Step 4: Set factors equal to 0.
x
−
4
=
0
or
x
+
8
=
0
x
=
4
or
x
=
−
8
Answer:
Step-by-step explanation:
● 4x = 32 - x^2
Add x^2 to both sides
● 4x +x^2 = 32 -x^2+x^2
● x^2 +4x = 32
Substract 32 from both sides
● x^2+4x -32 =32-32
● x^2 +4x-32=0
That is a quadratic equation
We will use the determinant method
The determinant is b^2-4ac
● a = 1
● b = 4
● c = 32
● b^2-4ac = 4^2 -4×1×(-32) = 144
144 is positive so the parabola will cross the x-axis two times
● x = (-b -/+ √(b^2-4ac))/2a
● x = (-4 +/- 12) /2
● x = 8/2 or x= -16/2
● x = 4 or x =-8
The solutions are 4 and -8
if the lengths of pw and pq are given, can the length of QW be determined? justify your answer.
Answer:
See below
Step-by-step explanation:
If the points P, Q, W are located on the number line, then:
If P is located between points Q and W then QW = PQ + PWIf Q is located between points P and W then QW = PW - PQIf W is located between points P and Q then QW = PQ - PWStudents are paired in teams for a group science project. The number of hours
each student spends working on the group project are recorded on the bar
chart below. If Paloma and Abdul are a team, and Ben and Min are a team,
how many more hours did Paloma and Abdul spend working on the project
combined than Ben and Min?
Answer:
They spent 4 more hours.
Step-by-step explanation:
I added up Paloma's hours and Abdul's, 21 + 18 = 39! And then I added Ben's and Min's, 13 + 22 = 35! So then I subtract 39 - 35 = 4! yay!
If I got it right can I have Brainliest thanks!
Graph y=2x+4 in a coordinate plane
The standard formula for finding the equation of a line is expressed as
y = mx +b
m is the slope of the line
b is the y-intercept of the line
The slope of a line is the measure of its steepness.
Given the equation y = 2x + 4, the slope of the line is 2 and the y-intercept is 4. The y-intercept shows that the line will cut the y-axis at y = 4
The required graph of the equation is as shown in the attachment.
Learn more here: https://brainly.com/question/17003809
No idea on what to do.
Which of the following is an equation of the line that passes through the point (–2, 3) and is perpendicular to the graph of the equation y = 3x – 2? A. y = –13x + 73
B. y = –13x + 113
C. y = 3x + 9
D. y = 3x – 3
Answer:
A
Step-by-step explanation:
y=3x-2
or 3x-y=-2
any eq. of line perpendicular to it is
x+3y=a if it passes through (-2,3), then
-2+3(3)=a
a=7
so x+3y=7
or 3y=-x+7
y=-1/3 x+7/3
The function g(x) is graphed. On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- and y-axis at (0, 0), and leaves the plane at point (2.3, 5). Which statements about the function are true? Choose three options. g of 1 = negative 1 g of 0 = 0 g of 4 = negative 2 g of 1 = 1 g of negative 1 = 1
Answer:
c=(0,-9)
Step-by-step explanation:
A function g is said to be even if [tex]g(x) = g(-x)[/tex].
The statements about the function that are true, are:
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
[tex]g(0) = 0[/tex]
From the question, we have the following points:
[tex](x_1,y_1) = (-2.3,5)[/tex]
[tex](x_2,y_2) = (0,0)[/tex]
[tex](x_3,y_3) = (2.3,5)[/tex]
We can assume that the function is an even function because the function satisfies the condition of an even function at:
[tex]g(-2.3) = g(2.3) = 5[/tex]
[tex](x_2,y_2) = (0,0)[/tex] means that:
[tex]g(0) = 0[/tex]
From the list of options:
[tex]g(1)= -1[/tex]
[tex]g(0) = 0[/tex]
[tex]g(4) = -2[/tex]
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
The true options are:
[tex]g(1) = 1[/tex]
[tex]g(-1) = 1[/tex]
[tex]g(0) = 0[/tex]
They are true because:
[tex]g(0) = 0[/tex] represents point [tex](x_2,y_2) = (0,0)[/tex]
[tex]g(1) = 1[/tex] and [tex]g(-1) = 1[/tex] satisfy the condition of an even function [tex]g(1) = g(-1) = 1[/tex]
See attachment for the graph of the function.
Read more about even functions at:
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A cone has a circular base with a diameter of 18 inches the height of the cone is 40inches what is the approximate lateral area of the cone
Answer:
[tex]A=1158.66\ \text{inches}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the base of a circular cone, d = 18 inches
Height of the cone, h = 40 inches
We need to find the lateral surface area of the cone. The formula of the lateral surface of the cone is given by :
[tex]A=\pi rl[/tex]
l is the slant height of the cone,
[tex]l=\sqrt{r^2+h^2} \\\\l=\sqrt{(9)^2+(40)^2} \\\\l=41\ \text{inches}[/tex], d = 18 inches, r = 9 inches
So,
[tex]A=3.14\times 9\times 41\\\\A=1158.66\ \text{inches}^2[/tex]
So, the lateral surface area of the cone is [tex]1158.66\ \text{inches}^2[/tex].
6 2/7 rational or irrational
Answer:
Rational
Step-by-step explanation:
Give brainliest or at least a thanks please!
Answer:
irrational number
Step-by-step explanation:
if it was 9/7
it was rational number
{x|x=4} on number line
Answer:
4gsjjsskkdhsjdjdkrkfofkjfjfkfktjgkgofogogjtjkfogog jkjfktjt jtktktky ktktjtj
4x2y+5xy2+3x2y-2xy2
plz help me :') im v bad at math
Answer:
D
Step-by-step explanation:
Just look at the scale and my answer and it will make sense
Answer:
[tex]\Large \boxed{\mathrm{\bold{D.} \ 5.50 \ g}}[/tex]
Step-by-step explanation:
Between numbers lie in the middle of two numbers.
[tex]\sf \displaystyle \frac{5+6}{2} =5.5[/tex]
The number in between 5 and 6 is 5.5.
The mass of the copper metal is 5.50 g.
20:37
Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the
expression below to describe his movement.
6+(-8)
Which statement could describe Ahmed's movement?
Ahmed started 6 floors above ground level, then he went down 8 tidors.
Ahmed started 6 floors above ground level, then he went up 8 floors.
Ahmed started 6 floors below ground level, then he went up 8 floors.
Ahmed started 6 floors below ground level, then he went down 8 floors.
Save and Exit
Answer: Choice A
Ahmed started 6 floors above ground level, then he went down 8 floors
The +6 or simply 6, is positive, so he's on the 6th floor to start. Then adding on -8, which is the same as subtracting 8, moves him down 8 floors.
6 + (-8) = 6 - 8 = -2 indicates he's 2 floors below ground level, so he's in basement level 2 (perhaps some kind of parking garage).
Answer:
the answer is A.
Step-by-step explanation:
got it right on edg
and good luck on exams, dont forget to study l o l
Which of the following sets of ordered pairs is not a function
Answer:
((-1, 2), (1, 3), (1, 5), (-3, 4))
Step-by-step explanation:
For a set of ordered pairs to be considered a function, a domain value should have exactly just 1 range value.
If a domain value is having more than 1 range value assigned to it, it is not a function. In order words, an x variable value should have exactly just one y variable value assigned to it.
x variables are domain values while y variables are the range values.
In the ordered pairs, ((-1, 2), (1, 3), (1, 5), (-3, 4)), the two pairs, (1, 3), (1, 5), have the same x variable value with different y-variable values assigned to each. This renders the set of ordered pairs not to be a function. Domain value 1, is having different range value of 3 and 5.
You have $20 to buy snacks for
yourself and 4 friends. If you
buy a bag of chips for each
person, and still have $13.75
left, how much did you spend
on each bag of chips?
can somebody please help me with this please don’t waste my answers if you are rlly good at geometry or know how to solve it please help me !
Answer:
20
Step-by-step explanation:
2m+10=4m
10=4m-2m
10=2m
m=5
SInce m=5, XC=4m=4*5=20
A graph has time on the x-axis and distance from home on the y-axis. Part A increases, part B is constant, part C increases, part D is constant, and part E increases. Which of these descriptions matches the graph? Jimmy is walking to a friend’s house at a constant rate. Jimmy is running late, so he starts to run to school but needs to take breaks. Jimmy is riding the bus to school at a decreasing rate. Jimmy’s bus drives at the same speed for parts A and C.
Answer: B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Explain how to use a number line to find the opposite of integers 4 units away from-6
Answer:
The opposite of integer 4 units away from -6 is 10.
Step-by-step explanation:
We know that the opposite of the opposite of a number, say 2, is the number itself.
That is:
Opposite of 2 is -2.
Then the opposite of -2 is:
- (-2) = 2
Now consider a number line.
The number that is 4 units away from -6 is -10.
4 units away implies moving backwards 4 units from -6.So, the number is -10.
The opposite of -10 will be:
- (-10) = 10
Thus, the opposite of integer 4 units away from -6 is 10.
3x – 2 = -12 is equivalent to which selection?
A: 3x = -14
B: 3x = -12
C: 3x = -10
D: 3x = -6
Answer:
The answer may be C
Step-by-step explanation:
3x-2=-12
+2= +2
3x= (-12+2)
3x= -10
If x=3 and y=-2 then
x2 - xy
x²+2y
Answer:
Step-by-step explanation:
(3)*2=6
-
(3)*(-2)=-6
6-(-6)=12
3*3=9
+2(-2)=-4
9+ -4= 5
Answer:
2.4
Step-by-step explanation:
x = 3, y = -2
x2 - xy/x² + 2y
=x2 - xy
=(3)2 - 3 × (-2)
6 - (-6)
= 12
x² + 2y
= 3² + 2(-2)
= 9 + -4
= 5
12/5
= 2.4
I need help with this question.
Answer:
k Nishant
Step-by-step explanation:
the correct answer is option negative
2. The radius of a circle is 9 cm. Find the area of the circle
(Use 3.14 as the approximation of T.)
Answer:
Area of a Circle = 254.34 cm²
Step-by-step explanation:
Area of a Circle = π r²
Area of a Circle = 3.14 * 9²
Area of a Circle = 254.34 cm²
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
The expression is |-7-9|
You subtract the values and place absolute value bars on either side.
Evaluating that expression leads to 16 since
|-7-9| = |-16| = 16
Showing that the distance from -7 to 9 on the number line is 16 units.