Answer:
the 11th term is 0.0000488 or 4.88*10^-5.
Step-by-step explanation:
a3 = 20, a7 = 1.25
a7 = a3r^7-3
1.25 = 20r^4
r^4 = 0.0625
r = 4th root of 0.0625
r = 0.5
a3 = a1r^3-1
20 = a1(20)^2
400a1 = 20
a1 = 0.05
a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5
Please help me on #5. Both parts of possible please. Thank you for helping!
Answer:
5) No
The actual distance between the drone and the fossil is [tex]32\dfrac{3}{4}[/tex] ft
Step-by-step explanation:
3) A. -2/9
(2/3 - 5/6)/3/4 = (-1/6)/(3/4) = (-1/6) × (4/3) = -2/9
4) d. [tex]0.\overline {90}[/tex]
10/11 = 0.9090909...
∴ 10/11 = [tex]0.\overline {90}[/tex]
5) The height of the drone is flying above the ground = [tex]25\dfrac{1}{2}[/tex] ft.
The location of the fossil below the ground = [tex]7\dfrac{1}{4}[/tex] ft.
Taking the ground level as the origin on a number line, we have;
The location of the drone relative to the ground = + [tex]25\dfrac{1}{2}[/tex] ft. (The positive sign for a point above the origin)
The location of the fossil relative to the ground = [tex]-7\dfrac{1}{4}[/tex] ft. (The negative sign for a point below the origin)
Therefore;
The distance between the drone and the fossil = The difference between the location of the drone and the fossil
The distance between the drone and the fossil = [tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right)[/tex]
[tex]25\dfrac{1}{2} - \left(-7\dfrac{1}{4} \right) = 25\dfrac{1}{2} + 7\dfrac{1}{4} = 32\dfrac{3}{4}[/tex]
The distance between the drone and the fossil = [tex]32\dfrac{3}{4}[/tex] ft.
Therefore;
The distance between the drone and the fossil > 32 ft.
Describe the sequence of transformations that maps PQR into P'Q'R' use the drop-down menus to explain your answer
Answer:
Rotation of 180° clockwise around the origin
Step-by-step explanation: if you rotate the first triangle 90 degrees, it will be in the lower quarter, so you need to rotate it 1 more time.
The transformations are clockwise rotation 180° and translation down by 1 unit.
What is rotation?Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.
From the given graph, the coordinates of triangle PQR are P(2, 1), Q(4, 6) and R(4, 1).
Rotating a point that has the coordinates (x,y) 180° about the origin in a clockwise direction, we have (-x,-y).
Here,
P(2, 1) → P'(-2, -1)
Q(4, 6) → Q'(-4, -6)
R(4, 1) → R'(-4, -1)
The translation down by 1 unit, we get (x, y-k)
P'(-2, -1) → P'(-2, -2)
Q'(-4, -6) → Q'(-4, -7)
R'(-4, -1) → R'(-4, -2)
The coordinates of triangle P'Q'R' are P'(-2, -2), Q(-4, -7) and R'(-4, -2)
Therefore, the transformations are clockwise rotation 180° and translation down by 1 unit.
Learn more about the rotation here:
brainly.com/question/1571997.
#SPJ2
if (x+2)^2=49, then x + 2 = 7. True or False
what is the worst thing you can do to a girl but they will like it
Answer:
KISS THEY BESTFRIEND AND THEY BOTH WANNA CUDDLE
Step-by-step explanation:
Answer:
expressing how you feel even if it comes off wrong because sometimes we understand this based off of a boys actions for example say he gets an attitude because your talking to everyone except him at a party and he came there with you well you have to understand that it could come off as awkward because he standing around looking lonely because your not admiring his presence when he's there with you and 9 times out of 10 your his girl friend
Step-by-step explanation:
x is 40% of 60
x=?
please help!!
Answer:
x = 24
Step-by-step explanation:
x = .4(60)
x = 24
40% of 60 can be found by converting 40% to a decimal and multiplying it by 60.
40% = 0.4
60x0.4=2.4
Now move the decimal point right one.
So x is 24.
---
hope it helps
1)
The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A) 6 people
B) 7 people
C)8 people
D) 9 people
PLEASEE HELP
ILL GIVE BRAINLIEST
Answer:
d. 9
Step-by-step explanation:
i friken used all my attempts guessing on this and got it wrong all times so 9 is the last answer
Is the cost of candy proportional to pounds of candy?
Answer:
Step-by-step explanation:
Yes
Answer:
yes because for every pound it is $3
Step-by-step explanation:
i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30
4h + 14 > 38
What’s the answer
Answer:
Inequality Form:
h > 6
Interval Notation:
( 6 , ∞ )
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
1. D
2. B
3. C
4. A
Step-by-step explanation:
just know when the sentence says "each" or "per" next to a number, there need to be an x next to it.
In other words, I kinda just winged it :P
What is the y-intercept for the equation y= 11x + 1?
-11
-1
1
11
Answer:
1
Step-by-step explanation:
The y-intercept in the equation is 1 because the equation uses the format y=mx+b. The b in y=mx+b represents the y-intercept So, in this equation the y-intercept is 1 because b=1.
what is the domain of the function
Answer:
hi sh Sheet sh I monorailg Jericho improve Odom Ybor
What is the value of y in the equation 4 + y=-3?
7
1
-1
-7
Answer: -7
Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)
i just want to make sure i’m correct so is this correct?
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
so what i did is i multiplied 16 x 26 = 416 then i divided 32 and 416 and got 13 so Annie filled 13 quarts of coffee.
please tell me i’m correct or not.
Answer:
I think you are I'm not 100%
Answer:
13qt
Step-by-step explanation:
your totally correct.
The most efficient first step in the process to factor the trinomial 3x³-24x² + 36x is :
O A. factor out 3
O B. factor out 3x
O C. factor out (x - 2)
O D. factor out-1
Answer:
B
Step-by-step explanation:
what are three ways you can solve a proportion?
Answer:
horizontal
vertical
diagonal
Step-by-step explanation:
I guess I only know those.hope it helps you
Dada la recta L1:x+(m+2)y=n−5 pasa por el punto (1,2) y que es paralelo a la recta L2:3y=2x−4. Determine m+n .
Answer:
-1/2
Step-by-step explanation:
The point slope form of equation of a line is expressed as;
[tex]y - y_{0} = m(x-x_0)[/tex]
m is the slope
(x₀, y₀) is the point on the line
Given
(x₀, y₀) = (1, 2)
Given the equation 3y = 2x - 4
Rewrite the equation
y = 2/3x - 4/3
mx = 2/3x
m = 2/3
The slope is 2/3
Substitute the slope and the point into the formula above
[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]
Compare the expression to x+(m+2)y=n−5
m + 2 = -3/2
m = -3/2 - 2
m = -7/2
Similarly
n - 5 = -2
n = -2 + 5
n = 3
m + n = -7/2 + 3
m + n = -1/2
hence the sum of m and n is -1/2
help i really need help WILL GIVE BRAINLIEST
Answer:
3 and 4
Step-by-step explanation:
A construction company produces two products (doors and windows) that require two plants (A and B). Management wants to determine how many units of each product should be produced to maximize profit. For each unit of Product 1 (i.E. Door), 2 workers are required in Plant A and 4 workers are required in Plant B. For each unit of Product 2 (i.E. Window), 3 workers are required in Plant A and 4 workers are required in plant B. The company has 40 workers in Plant A and 60 workers in Plant B. Each unit of Product 1 gives a profit of $100. Each unit of Product 2, up to 10 units, gives a profit of $80. Any excess over 10 units of Product 2 brings no profit; so, such excess has to be ruled out.
Answer:
Z max = 1500
x₁ = 15
x₂ = 0
Step-by-step explanation:
From problem statement:
Plant A Plant B Profit $/each
Product 1 (Doors ) x₁ 2 4 100
Product 2 (windows ) x₂ 3 4 80
Product 2 (windows ) x₂ above 10 is scrap
Objective function to maximize
z = 100*x₁ + 80*x₂
Subject to:
Plant A capacity
2*x₁ + 3*x₂ ≤ 40
Plant B capacity
4*x₁ + 4*x₂ ≤ 60
Windows condition:
0*x₁ + x₂ ≤ 10
Model:
Max z = 100*x₁ + 80*x₂
Subject to:
2*x₁ + 3*x₂ ≤ 40
4*x₁ + 4*x₂ ≤ 60
x₂ ≤ 10
x₁ , x₂ ≥ 0 and integers
Afther 6 iterations using Simplex Solver AtomZmath
Z max = 1500
x₁ = 15
x₂ = 0
Please help me out you can just give me the answer! PLEASE AND THANK YOU!
Answer:
(Disclaimer: all digits in the answers are in the measuring unit degrees)
1) 15
2) 16
3) 46
4) 59.
Step-by-step explanation:
The first one is said to add up to 89, so you have to do 89 subtract 44 and 30 as they are told. That = 15
The second one is a right angle, meaning it adds up to 90. You do 90 - 74 as that is the value told. That = 16
Angles on a straight line = 180 so you have to do 180 - 134 as that is the value told. This = 46
This is 54 as opposing angles on two lines are =. That means this = 59 too.
Find the next two terms in
the sequence 11, 7, 3,-1,
Answer:
The next term will be -5.
Step-by-step explanation:
This is actually an AP with a = 11 and common difference d = -4.
Therefore next term will be -1 - 4 = -5
Answer:
Step-by-step explanation:
The numbers in this sequence come by subtracting 4 so
11, 7, 3, - 1, - 5, - 9, - 13
Solve by completing the square.
x2 - 4x – 20 = 0
A. x = {-2±6√2}
B. x = {2+6√2}
C. x = {2+2√6}
D. x = {-2±2√6}
Show your work.
Step-by-step explanation:
Subtract
20
from both sides of the equation.
x
2
−
4
x
=
−
20
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
2
)
2
Add the term to each side of the equation.
x
2
−
4
x
+
(
−
2
)
2
=
−
20
+
(
−
2
)
2
Simplify the equation.
Tap for more steps...
x
2
−
4
x
+
4
=
−
16
Factor the perfect trinomial square into
(
x
−
2
)
2
.
(
x
−
2
)
2
=
−
16
Solve the equation for
x
.
Tap for more steps...
x
=
2
±
4
i
6. give the figure at the right,what is the measure of dbc
A. 54°
b. 36°
C. 126°
D. 116°
Answer:
c.126
Step-by-step explanation:
180-54=126
Suppose you have two similar trapezoids with a scale factor of 4. If the angle measures of trapezoid ABCD are 70,110,110,70, what is the answer?
Answer: 140, 220, 220, 140
Step-by-step explanation:
All you have to do is double the numbers.
What is the value of y?
2y°
y +10°
50°
A. 400
B. 60°
C. 500
D. 30°
Answer:
a part
Step-by-step explanation:
Attachment added....
Hope it helps :)
Find the area of the trapezoid
Answer:
42 square units
Step-by-step explanation:
Each square on the grid is 2 units by 2 units.
Bases: OC = 10; SK = 4
Height: OS = 6
area = (b1 + b2)h/2
area = (10 + 4)(6)/2
area = 42
Answer: 42 square units
Answer:
The area of trapezoid is 42 square unit.
Step-by-step explanation:
According to the question
A trapezoid which is consist of many square shapes and each grid square equals 2 units . We need to find the area of trapezoid.
To calculate the area of trapezoid we have given :-
Base ; SK = 4 and OC = 10Height ; OS = 6Formula for finding area of trapezoid is ½ × (Base 1 + Base 2) × Height .Finding the area of trapezoid :-
Area of trapezoid = ½ × ( 4 + 10 ) × 6
Add 4 and 10.Area of trapezoid = ½ × 14 × 6
Multiply 14 by 10.Area of trapezoid = ½ × 84
Divide by 2.Area of trapezoid = 42
Hence,
The area of trapezoid is 42 square unit.
Solve the system of equations using substitution
y=x+1
x+y = 7
The sum of two numbers is 37 . The smaller number is 15 less than the larger number. What are the numbers?
Answer:
11 and 26
Step-by-step explanation:
x+x-15=37
x+x-15+15=37+15
x+x=52
2x=52
2x÷2=52÷2
x=26
26+26-15=37
37=37
What is the value of x in the equation below?
12 – 2(x-1)=6
Use the data from the dot plot below to answer the question.
How many students from this data sample have three siblings?
A. Three students have three siblings
B. One student has three siblings
C. Four students have three siblings
D. Two students have three siblings
please help me do it