Answer: -7324218
Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.
5 is being multiplied.
Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]
Sn = sum of n terms
a = first term in sequence
r = common ratio/multiple
n = number of terms
Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218
brainliest please :)
If I have a 78 and I got a 93.1 on a test that counted for 5 percent of my grade what would my grade be?
Answer
It might be 88%
Step-by-step explanation:
A town's population is currently 20,000. If the population doubles every 34 years, what will
the population be 68 years from now?
Answer:
80,000
Step-by-step explanation:
20,000 x 2 = 40,000
40,000 x 2 = 80,000
(I'm pretty sure it's right if not let me know.)
an oil spill spreads 25 square meters every 1/6 hour. How much area does the oil spill cover after 2 hours?
Answer:
300 [tex]m^{2}[/tex]
Step-by-step explanation:
The spread has a rate of 25 [tex]m^{2}[/tex] per every 1/6 hour. That can be expressed as 25 [tex]m^{2}[/tex] per every 1/6 hour:
25 [tex]m^{2}[/tex]/ (1/6 hour), or
150 [tex]m^{2}[/tex]/hour
After 2 hours, the spread would be (150 [tex]m^{2}[/tex]/hour)*(2 hours) = 300 [tex]m^{2}[/tex]
Select the correct answer.
What is the inverse matrix that can be used to solve this system of equations?
x-y-z=4
-x+2y+3z=-2
x+y+4x=10
The correct answer is the inverse matrix: [ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
To find the inverse matrix that can be used to solve the given system of equations, we need to represent the system in matrix form as AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants.
The given system of equations can be written as:
[1 -1 -1] [x] [ 4]
[-1 2 3] * [y] = [-2]
[ 1 1 4] [z] [10]
To find the inverse matrix, we'll set up the augmented matrix [A | I], where I represents the identity matrix:
[1 -1 -1 | 1 0 0]
[-1 2 3 | 0 1 0]
[1 1 4 | 0 0 1]
Using Gaussian elimination, we'll perform row operations to transform the left side into the identity matrix, while applying the same operations to the right side. The resulting matrix on the right side will be the inverse matrix.
After performing the row operations, the augmented matrix becomes:
[1 0 0 | 1 -3 2]
[0 1 0 | 2 -5 3]
[0 0 1 | -1 3 -2]
Therefore, the inverse matrix is:
[ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
Hence, the correct answer is the inverse matrix:
[ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
Learn more about matrix here:
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Subtract: (4x5 + 8x5 + 3x) from (3x2 + 6x2 + 9x)
Answer:
[tex]12x^5-9x^2-6x[/tex]
Step-by-step explanation:
[tex]\left(4x^5+8x^5+3x\right)-\left(3x^2+6x^2+9x\right)[/tex]
[tex]4x^5+8x^5+3x-\left(3x^2+6x^2+9x\right)[/tex]
[tex](4x^5+8x^5):12x^5[/tex] ( Combine like terms)
[tex]12x^5+3x-\left(3x^2+6x^2+9x\right)[/tex] (Apply the distributive law)
[tex]12x^5+3x-9x^2-9x[/tex]
[tex](3x-9x):-6x[/tex] ( Combine like terms)
[tex]12x^5-9x^2-6x[/tex]
~
Answer:
[tex]\sf 9x^2 - 12x^5 +6x[/tex]
solving steps:
[tex]\hookrightarrow \sf (3x^2 + 6x^2 + 9x )- (4x^5 + 8x^5 + 3x)[/tex]
remove parenthesis
[tex]\hookrightarrow \sf 3x^2 + 6x^2 + 9x - 4x^5 - 8x^5 - 3x[/tex]
group variables
[tex]\hookrightarrow \sf 3x^2 + 6x^2 - 4x^5 - 8x^5 - 3x+ 9x[/tex]
simplify
[tex]\hookrightarrow \sf 9x^2 - 12x^5 +6x[/tex]
Which of the following
represents this inequality?
|3x – 4| < 6x
Answer:
x>
4
9
Step-by-step explanation:
|3x−4|<6x
Let's find the critical points of the inequality.
|3x−4|=6x
We know either3x−4=6xor3x−4=−6x
3x−4=6x(Possibility 1)
3x−4−6x=6x−6x(Subtract 6x from both sides)
−3x−4=0
−3x−4+4=0+4(Add 4 to both sides)
−3x=4
−3x
−3
=
4
−3
(Divide both sides by -3)
x=
−4
3
3x−4=−6x(Possibility 2)
3x−4+6x=−6x+6x(Add 6x to both sides)
9x−4=0
9x−4+4=0+4(Add 4 to both sides)
9x=4
9x
9
=
4
9
(Divide both sides by 9)
x=
4
9
Check possible critical points.
x=
−4
3
(Doesn't work in original equation)
x=
4
9
(Works in original equation)
Critical points:
x=
4
9
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<
4
9
(Doesn't work in original inequality)
x>
4
9
(Works in original inequality)
Answer:
x>
4
9
In a class of c children,1/4 are boys. What fraction are girls?
Answer:
3/4
Step-by-step explanation:
Given:
⇒ 1/4 are boys
To Solve/Find:
⇒ What fraction are girls
Solve:
well, We know that 4/4 = 1 Whole
Thus, We have to Subtract to find what fraction are girls
→ 4/4 - 1/4 = 3/4
Hence, We can conclude that 3/4 are girls
~Learn with Lenvy~
how many diagonals does an 80-gon have?
Answer:
Step-by-step explanation:
35
Answer:
3080
Step-by-step explanation:
please help me,
Find the value of x that will make A parallel to B
the answer isn't 1, I've tried that
Solve each equation x+2y=1 and -x+y=2
Answer:
x = -1, y = 1
Step-by-step explanation:
x + 2y = 1
Subtract 2y from both sides
x + 2y - 2y = 1 - 2y (simplify) -> x= 1 - 2y
----
-x + y = 2
Subtract y from both sides
-x + y - y + 2 - y (simplify) -> -x = 2 - y
Divide both sides by -1
[tex]\frac{-x}{-1}[/tex] = [tex]\frac{2}{-1}[/tex] - [tex]\frac{y}{-1}[/tex] (simplify) -> x = -2 + y
Which line is a line of symmetry for the figure below?
A.
Line A
B.
Line C
C.
Line B
D.
Line D
Answer:A
Step-by-step explanation:
Because as you look around we notice line A. We can see that when we look at it there is symmetric. The line divide both of the parts equal
please help me asap i will give you 50 points
Answer:
Keep track of every 1, 2, 3, or 4. These represent the number of days the temperature is above 80 degrees F. repeat this 20 times.
HELP ME PLEASE!!!!!!
Answer:
53 people
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] × 120 = = 48
48 + 5 = 53 people
____
You've made your grade level high school, lower it to Grade 4. Thank you!
Which shapes have 4 sides and 4 vertices?
Answer:
A quadrilateral has 4 sides, 4 angles and 4 vertices.
The graph of f (z) -x^2 was translated 4.5 units to the left to create the graph of function g.
which function represents g?
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be g(x) = (x + 4.5)^2
Translation of coordinatesGiven the function expressed as
f(x) = x^2
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be:
g(x) = (x + 4.5)^2
Note that translation to the left means addition of the factor
Learn more on translation here: https://brainly.com/question/1046778
Kate has 7 apples and she eats 5 how many does she have left
The perimeter of a square is 1/7 yard. Find the length of each side in feet.
1 yd=3 feet
*MY LITTLE SISTER NEEDS HELP*
a square has four equal sides, and we know the perimeter or namely the sum of all those four sides is 1/7 yard, so
s = length of one side.
[tex]s + s + s + s = \cfrac{1}{7}\implies 4s=\cfrac{1}{7}\implies s=\cfrac{~~ \frac{1}{7}~~}{4}\implies s=\cfrac{~~ \frac{1}{7}~~}{\frac{4}{1}} \\\\\\ s=\cfrac{1}{7}\cdot \cfrac{1}{4}\implies s=\cfrac{1}{28}~yd\qquad \stackrel{\textit{how many feet is that?}}{s = \cfrac{1~yd}{28}\cdot \cfrac{3~ft}{yd}}\implies s=\cfrac{3}{28}~ft[/tex]
Bella and Justin went to the bank to open new checking accounts. The equation C=0.1n+1.50 represents the monthly cost, C, in dollars, where n is the number of checks written by Bella. In Justin’s account, the monthly cost is proportional to the number of checks written. The monthly cost for Justin’s account is $1.20 for writing 3 checks. How many checks must Bella and Justin write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?
If Bella and Justin write
checks, it will cost them both $
for one month.
The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation for Bella:
c = 0.1n + 150
Where C is the monthly cost for n checks.
For Justin:
1.2 = 3k
k = 0.4
C = 0.4n
To have the same cost:
0.1n + 150 = 0.4n
n = 500
c = 0.4(500) = 200
The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.
Find out more on equation at: https://brainly.com/question/2972832
One week, Daniel earned $554. 30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939. 90?
Answer:39 hours
Step-by-step explanation:First, let's find the rate of money per hour:$554.30 / 23 hour= $24.1 / 1 hourDaniel earns $24.10 every hour he works.To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:$939.90 / 24.10= 39Now, we can check:$24.10 * 39= $939.90
what is the expanded form of 648.297?
Answer:
600 + 40 + 8 + .2 + .09 + .007 = 648.297
The diameter of a circle is 2 centimeters. What is the circle's circumference? d=2 cm
Answer: pi (3.14)
Step-by-step explanation:
The circumference formula is pi*radius squared. Radius is half the diameter so radius is 1.
1 squared is still 1.
The answer is 3.14 or pi
is y=10x^2 a linear equation
Sketch the graph:
just tell me the vertex and the points I should plot on
Answer:
SO this equation is y={4-3x}
This is an absolute value so the domain is all real numbers
For this equation, we are shifting left 3 and up 4
The vertex is (1,1) Turning point
Points:
(-1,7)
(0,4)
(1,1)
(2,2)
(3,5)
(4,8)
It will make a v shape
(if u were too do this on the ti-84, hit y=, then hit 2nd catalog and hit abs, plug in the equation; then hit 2nd graph to get the table. You will need to find the vertex by finding the number at which they are not the same)
I hope this helps!
Step-by-step explanation:
HELP PLEASE HELP HELP
f(x) = 1 / x + 2 - 4
(-1.5 , ___)
(-1 , ___)
0, ___)
(-3, ___)
(-2.5, ___)
(-4 , ___)
Is it graph 1, 2 or 3
(1,-4), (8,2) , (2,9) and (-5,3) Which formula can be used to determine the coordinates of the point at which the diagonals of this square intersect?
Answer:
The midpoint formula
Step-by-step explanation:
(x,y)=(x1+x2)/2,(y1+y2)/2 ..(Take any two points that are opposite to each other in this case first and third points)
(x,y)=(1+2)/2,(-4+9)/2
(x,y)=3/2,5/2
As the diagonals of a square are equal, their intersection point will be the midpoint.
Kristen is paid $8.25 per hour. how much would her paycheck be for 39 hours? show your work.
Answer:
$321.71
Step-by-step explanation:
To do this problem, we have to multiply 8.25 by 39 because Kristen gets paid $8.25 per hour, and she worked for 39 hours. Here is my work below:
[tex]8.25 X 39=321.71[/tex]
So, Kristen gets paid $321.71 for working 39 hours.
Hope this helps! :)
Have a blessed day! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
How do i solve this.
Let us set up some variables:
L: LengthW: WidthNow let us set up some equations based on the facts:
length of rectangle is 4 times its width --> L = 4Wperimeter of rectangle is 80 --> 2L + 2W = 80Equations:
L = 4W -- equation 1
2L + 2W = 80 -- equation 2
Plug the value of L from equation 1 into equation 2
2(4W) + 2W = 80
8W + 2W = 80
10W = 80
W = 8 -- equation 3
Plug the value of W from equation 3 into equation 1:
L = 4W = 4 * 8 = 32
Therefore the length is 32 and the width is 8.
Hope that helps!
need help with inscribed angles
Answer:
m∠A = 79°
m∠B = 112°
Step-by-step explanation:
A+C=180
A=180-C=180-101=79
B+D=180
B=180-D=180-68=112
Nora is flying a kite, holding her hands a distance of 3 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 23. If the string from the kite to her hand is 135 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answer:
[tex]55.7 feet[/tex]
Step-by-step explanation:
[tex]h=\sin{\left(23\right)\times135}[/tex]
[tex]\sin{23}\approx0.39[/tex]
[tex]h=0.39\times135=52.65\left(feet\right)\[/tex]
[tex]H=h+3[/tex]
[tex]=52.65+3[/tex]
[tex]=55.65\left(feet\right)[/tex]
[tex]55.65\ feet\approx55.7\ feet[/tex]
I hope this helps you
:)