Answer:
50
Step-by-step explanation:
Answer:
312.5
Step-by-step explanation:
We have the series: 250, 50, 10...
As we can see, each subsequent term gets smaller and smaller. Eventually, it will be infinitesimally small. So, our series converges.
We can also see this from our common ratio. Each term is 1/5 of the previous term. Since our r 1/5 is less than 1, our series will converge.
Since it converges, we can indeed find our sum. First, we can write our series using summation. This will be:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }[/tex]
We can use the following infinite geometric series formula:
[tex]\displaystyle{\sum_{n=0}^{\infty} ar^n=\frac{a}{1-r}[/tex]
So, let's substitute 250 for a and 1/5 for r. This yields:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }=\frac{250}{1-\frac{1}{5}}[/tex]
Subtract:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }=\frac{250}{\frac{4}{5}}[/tex]
Divide. So, our series converges to:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }=312.5[/tex]
And we're done!
help mee plzzzz.................
Answer:
it is yellow
Step-by-step explanation:
if more means you add eight with what they are talking about and a product is multiplying so you multiply n by 2 and add eight
To make purple paint you
must mix 2 parts blue with 5
parts red. If I use 13 cups of
blue, how much red would I
need for the same shade of
purple?
Answer:
you need 32.5 cups of red for the same shade of purple
Step-by-step explanation:
2:5
13:32.5
Answer:
32.5 cups of red
Step-by-step explanation:
Lets take it step-by-step.
So to make purple paint you mix 2 parts of blue and 5 parts of red. So if you use 13 cups of blue you need to use 32.5 cups of red because...
13 divided by 2 = 6 1/2, so you would have to multiply 5 x 6 1/2 which is 32.5
Next time you come across a problem like this take the large number you have Ex. 13, and divide it by the smaller number you know Ex. 2, and then multiply the number that you've gotten by dividing Ex. 6 1/2, with the other small number Ex. 5, and then you have your answer.
If you need any more help let me know :)
Easy question
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 60 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 25°. How far away from the building is the sculpture? Round your answer to the nearest hundredth.
A) 25.36 feet
B) 27.98 feet (NOT correct)
C) 100.22 feet
D) 128.67 feet (NOT correct)
Answer:
It is D 128.67
Solution:
Opposite=60
Angle=25degrees
Adjacent=?
Hypotenuse=?
We need to solve for the adjacent so don't worry about hypotenuse value.
Equation to solve for Adj.
tan(x)=Op./Hyp.
tan(25)=60/adj.
You then flip it
Adj.=60/tan(25)
Adj.=60/0.46630765815
Adj.=128.67 feet
Whallah!
Ask any questions that you have in the comments!
Answer:
D 128.67
Step-by-step explanation:
took the test and got it right. 100% correct
A public park is in the shape of a triangle the side of the park that forms the base of the triangle is 200 yards long and the area of the park is 7500 yd squared what is the length of the side of the park that forms the height of the triangle
. its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle. ... A serving tray as shown forms an equilateral triangle – that is, a triangle with three equal sides
The difference of x and 21 is less than 35
x=55 or less
it is 55 or less bacause if it where 56 it would equal 35 and they want less then 35.
2. How is volume calculated?
A. Sup of mass and density
B.mass divided by density
C.mass multiplied by density
D. Difference of mass and density
Answer:
A
Step-by-step explanation:
1/4 divided by 13/20
Answer:
0.384615
Step-by-step explanation:
What is x2 + 5x - 24 -x2 - 4x + 9
Let's simplify step-by-step.
x2+5x−24−x2−4x+9
=x2+5x+−24+−x2+−4x+9
Combine Like Terms:
=x2+5x+−24+−x2+−4x+9
=(x2+−x2)+(5x+−4x)+(−24+9)
=x+−15
Answer:
x-15
3x - 2 = -8
What is x ?
Answer:
one
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
3x - 2 = -8
+2
3x = -6
x = -2
Which answer choice shows the number one hundred seventy-five ten-
thousandths written in standard form?
O A) 175,000
OB) 1.0075
O C) 0.175
OD) 0.0175
Answer: D
Step-by-step explanation:
Ten thousandths is the fourth place
The expression one hundred seventy-five ten-thousandths in the standard form will be 175,000. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number is one hundred seventy-five ten-thousandths. The standard form of the number can be written as below,
Standard form = one hundred seventy-five ten-thousandths
Standard form = 175,000
Hence, the standard form is 175,000.
To know more about an expression follow
brainly.com/question/29431018
#SPJ2
if b is the midpoint of ac and ab is 39 what is bc
Answer:
Step-by-step explanation:
a———-b———c^39. ^?bc=39 segment addition postulateAnswer:
The answer is BC = 39.
Step-by-step explanation:
If B is the midpoint, then AC would be divided into two. AB = 39 and AB is half of AC so BC = 39 as well.
please help me answer this question
Answer:
the answer is 7-1
Step-by-step explanation:
B. Find the slope and y-intercept of the line with this equation.
2. y = -2x - 1
I WILL GIVE BRAINLIEST
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = - 2x - 1
Comparing with the general equation above
Slope = - 2
Y - intercept = - 1
Hope this helps you
15 divided by 3/4 help
Answer:
20
Step-by-step explanation:
Your answer would be 20 100% its 20
Plz do my worksheet plz
Answer:
I think numder 2 is vertices
Mrs. diaz is thinking of buying an annual pass to Disneyland.
?
Step-by-step explanation:
what is the question that you are asking
hi can anyone help me with exercise 3 and 4 please
Answer:
3: add the numbers and if they add up to 180 its a triangle
4 add the 2 numbers then subtract it by 180 to get your 3rd number
Step-by-step explanation:
3g-2x=-2135
x=2g+60
Solve for g
Answer:
x = -3970, g = 2015
Step-by-step explanation:
Solve this system of linear equations by substitution: substitute 2g + 60 for x in the first equation.
Then we have:
3g - 2(2g + 60) = -2135
Performing the indicated multiplication, we get:
3g - 4g - 120 = -2135, or
-g = -2015
Then g = 2015. Then x = 2(-2015) + 60, or x = -3970
The solution is x = -3970, g = 2015
What is the value of the expression q + 4 when q = 13?
Answer:
17
Step-by-step explanation:
13+4=17 you just have to add both of the answers together in order to get the total answer of seventeen
What does it mean to be "in the black"
Answer:
to be unaware
Step-by-step explanation:
Which function is best represented by this graph?
PLEASE PLEASE HELP ME
Answer:
B I have that test
Step-by-step explanation:
y-2=5x whats the slope and point on line
Questions 7 and 8 multiple choice
Problem 7
Answer: Choice A) 7--------------------------------------
Work Shown:
p(x) = x^4+x^3-kx-x+6
If (x-2) is a factor of p(x), then x = 2 is a root of p(x). This is a special case of the remainder theorem.
This means p(2) = 0
Replace every x with 2 and solve for k
p(x) = x^4+x^3-kx^2-x+6
p(2) = 2^4+2^3-k(2)^2-2+6
p(2) = 16+8-4k-2+6
p(2) = 28-4k
0 = 28-4k .... replace p(2) with 0
4k = 28
k = 28/4
k = 7
The polynomial
p(x) = x^4+x^3-7x^2-x+6
has the factor (x-2)
============================================
Problem 8
Answer: D) 40--------------------------------------
Work Shown:
Check out the diagram below to see the synthetic division table. We're after the remainder which is highlighted in yellow.
An alternative is to use direct substitution
p(x) = 2x^4+4x^3-x^2-5
p(-3) = 2(-3)^4+4(-3)^3-(-3)^2-5 ... replace every x with -3
p(-3) = 2(81)+4(-27)-9-5
p(-3) = 162-108-9-5
p(-3) = 40
This helps confirm we got the right remainder and the right answer.
Tyrone's hourly wage is $18 and his net pay is 72% of his earnings Tyrone spends about $1800 on his monthly expenses if Tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow it as soon as there are four pay periods per month
Answer:
The monthly cash inflow is $273.6
Step-by-step explanation:
It is given that hourly wage is $18 and his net pay is 72% of his earnings.
First, calculate the 72% of $18.
72% of his earnings is [tex]\$18\times \frac{ 72}{100}= \$12.96[/tex].
Tyrone works 40 hours per week .
The number of working hours in a month is: [tex]40\times4=160 \text{ hours}[/tex]
For 1 hour is he was getting $12.96.
For 160 hours he will get: [tex]160\times 12.96=\$2073.6[/tex]
His total monthly cash inflow is $2073.6 - $1,800=$273.6
Hence, the monthly cash inflow is $273.6
Find the values of x and y.
4x(7y - 12)
(6y + 8) (6x-26)
Answer:
x = 13
y = 20
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
In line geometry, the oppositely directed angles are equal. According to the diagram shown;
4x = 6x - 26 (oppositely directed angles)
We can get the value of x from the equation as shown;
4x = 6x - 26
Subtract 6x from both sides
4x-6x = 6x-6x-26
-2x = -26
x = -26/-2
x = 13
Similarly:
6y+8 = 7y-12 (oppositely directed angles)
collect like terms
6y-7y = -12-8
-y = -20
multiply both sides by -1
-(-y) = -(-20)
y = 20
Hence x = 13 and y = 20
-3/2 divided by 1/4
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
When you divide fractions, you multiply the inverse.
So, -3/2 divided by 1/4 is -3/2 x 4/1 = -12/2
Simplified = -6
Hope this helps:)
PLEASE HELP ONLY GOT 2 MINUTES LEFT !!!
John has a goal to ride his bike 100 miles this summer. John has ridden 12 miles thus far. There are only 40 days left in summer. Write a inequality to represent the average distance, d, in miles, John must ride each day for the rest of summer
Answer:
12 + 40d ≥ 100
Answer:
y[tex]\geq 2.2[/tex]
Step-by-step explanation:
John wants to complete at least 100 miles. he has completed 12 which means he only has 88 left. If you divide 88(miles left) by 40(time left) you get 2.2 miles. so he would need a minimum of 2.2 miles a day to bike 100 miles.
PLZ HELP I WILL MARK BRAINLEIST!!!!
Option B is the correct answer, x+15=41
that the images between 3 and 4
Answer:
Explain more what you need to someone to answer :3
Answer the questions below. Write your answers in simplest form.
(a) A square has a perimeter or 32 cm. What is the length of each side?
cm
(D) A square has an area of 144 m². What is the length of each side?
Answer:
A) 8cm
B) 12cm
Step-by-step explanation:
A) Perimeter = 4 × L
where L is the length of the sides
32 = 4 × L
32/4 = L
L = 8cm
B) Area = L^2
144 = L^2
L = square root of 144
L = 12cm
a)
The length of each side is 8 cm.
d)
The length of each side is 12 m.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The perimeter of the square = 32 cm
Area of the square = 144 m²
Now,
Perimeter = 32 cm
4 Side = 32 cm
Side = 32 /4
Side = 8 cm
Area = 144 m²
Side² = 144
Side = 12 m
Thus,
The length of the side is 8 cm.
The length of the side is 12 m.
Learn more about squares here:
https://brainly.com/question/22964077
#SPJ2