Check the picture below.
Make sure your calculator is in Degree mode.
What is ∑n=15[5(−2)n−1] equal to?
Answer:
Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.
Anyway, there is neat formula that will deal with question very quickly. It is the following:
Sn is the sum of the geometric series
a1 is the first term in the series
r is the common ratio
n is the number of terms in the finite geometric series
Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, let's understand the notation.
∑n = 15 represents the sum of the expression that follows for n starting from 15, and the expression is 5 (−2) n − 1.
So, we need to find the sum of 5 (−2) n − 1 from n = 15 to n = 15, which means there is only one term in the sum.
Substituting n = 15, we get:
5 (−2) (15 − 1) = 5 (−2) 14 = 5/16384
Therefore,
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
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What is the range of this data set? {37, 38, 44, 32, 40, 33, 29, 33, 36}
15
29
33
36
Answer:
Range is 15
Step-by-step explanation:
1. Organize from least to graetest:
29, 32, 33, 33, 36, 37, 38, 40, 44
2. Find the largest and the smallest numer:
29 and 44
3. Subtract:
44
-29
=15
Answer:
its 15
Step-by-step explanation:
i just need da points
find the value of x
50°
6
X
Not drawn to scale
Answer:
Hence option C is correct...hope this helps you:)
plspls help i will give u brainliest!!!! answer questions correctly please.
17-(-5)=
(-12)+(-6)=
8(-5)=
-72 divided by (-9)=
1/9+3/8
-2 1/2+(-5 3/4)
3 2/3-1 5/6
-4/5-2/3
-3 1/4 x 2 2/3
-5/9 x -2/9
1 7/8 divided by 3
-1/3 divided by 7/8
you will get brainliest please give right answers i need a good grade in this!!
i only have 11 points im sorry
but you will get the best rating and brainliest
The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.
Answer:
Number of different options for Ms. Garcia are
3 * 2 * 8 = 48
So 48 options
Step-by-step explanation:
There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
The s represents the y-intercept of the graph.
The 100t in the equation means the initial velocity of the rockey is 100
Step-by-step explanation:
According to the text and graph.
The s reprecets the yintexept of the graph
h(t)=5+100t-16t²
h(t)=100-32t
k(0)=100
in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100
read the image for the rest
What is the length of line segment b c? round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.
The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in
SOH CAH TOA identityThe given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:
cos 35 = a/25
where a = BC
cos 35 = BC/25
BC = 25cos 35
BC = 20.5in
Hence the length of BC as shown in the diagram is 20.5in
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Your friend is planting a circular garden full of different color pansies. Your friend plans to plant five different colors of equal amounts. The garden has a
radius of 20 feet. How many square feet of space will each color cover?
The area that each color would occupy in the circular garden is: 251.32 sq. ft.
What is the Area of a Circle?Area of a circle = πr², where the radius of the circle is represented as r.
Area of the circular garden = πr² = π(20²)
Area of the circular garden = 1,256.6 sq. ft.
Area of space each color would cover = 1,256.6/5 = 251.32 sq. ft.
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Many simple quadratic equations have two solution( one positive,one negative)but there is one simple quadratic equation that has only one solution.what is the equation and what is its solution?
Answer:
The answer is ax² + bx + c = 0
Step-by-step explanation:
in a group of 70 people, 37 like tea, 52 like milk and each people likes at least one of the two drinks.
1)how many people like both tea and milk ?
2) how many people like tea only ?
3)how many people like milk only ?
4)show the above information in a Venn diagram.
Step-by-step explanation:
got the answer see in the image :)
Bob bikes to work 8 miles each day. The trip takes him 0.5 hours. If Bob bikes at a constant rate, what is his biking speed? A. 5 mph B. 8 mph C. 16 mph D. 40 mph
Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.
Option C) is the correct answer.
What is Speed?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Distance covered d = 8milesTime elapsed t = 0.5hrsSpeed of the bike S = ?Speed = Distance ÷ time
Speed = 8miles / 0.5hrs
Speed = 16 mph
Therefore, Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.
Option C) is the correct answer.
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fine the value please, giving BRAINLIEST
Write this percentage as a fraction in its simplest form. 50 %
Answer:
1/2
Step-by-step explanation:
50/100 = 5/10 =1/2
in it's simplest form
;)
I need help, question is in image.
Answer:
[tex]9 > x > - 4[/tex]
9 is greater than x and -4 is less than x
Answer:
- 4 < x < 9
Step-by-step explanation:
given 9 is greater than x then x is less than 9 and - 4 < x , so
- 4 < x < 9
. Find the area of a circle with a
circumference
of 11( 3.14 )
feel
?
Answer:
95.03
Step-by-step explanation:
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Need help Bad
Answer:
D) 5 inchesStep-by-step explanation:
GivenA box with the volume of 150 in³
Dimensions of the box are
2, x and x + 10, where x- width, (x + 10) - lengthThe volume of the box is
V = lwhSubstitute the values and solve the equation for x
x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)The width of the box is 5 in
Correct choice is DPlease solve the inequality and give the steps needed to solve: x²-13x+36 ≤ 0
Please help, Write the sum.
[tex]12\sqrt{23 x^{13}}+14\sqrt{23 x^{13}}\\\\=(12+14)\left(\sqrt{23 x^{13}}\right)\\\\=26\left(\sqrt{23 x^{13} }\right)\\\\=26\sqrt{23} \sqrt{x^{13}}\\\\=26\cdot 23^{\tfrac 12} \cdot x^{\tfrac {13}2}[/tex]
The slope of the line that passes through the points [6,9[ and [11,2] is
Answer:
-7/5
Step-by-step explanation:
m = slope = (y1-y2) / (x1-x2) = 7/-5 = - 7/5
4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.
Answer:
116 centimeter squared
Step-by-step explanation:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
you need to reflection it over the y - axis , please help
Answer:
y axis please set in star then I will tell
Answer:
a'= (10,-9) b'= (9,0) c'= (1,0) d'= (10,-1)
Step-by-step explanation:
whenever you reflect over the y you change the x
The price of a notebook is 20% less than the price of a book. By
what percent is the price of the book higher than the price of the
notebook?
HELP
Answer:
125%
Step-by-step explanation:
lets just say the book is $100. 20% less would be $80
now to go back to $100, we need to add $20 to $80
20 is 25% of 80, so add the extra 25% to 100% of 80
The average age of 3 girls is 17years 4month. the average age of 2 of them is 17years 3month. how old is the third girl
Answer:
1 month oldStep-by-step explanation:
17.4-17.3=.1
that would be 1 moth
170 over 360 simplify
Answer:
17/36
Step-by-step explanation:
Mario has captured many yellow-spotted salamanders. He weighs each and then counts the number of yellow spots on its back. This trend line is a fit for these data A. Weak B. Negative C. Parabolic D. Strong
The trend line is a strong fit for the data on yellow-spotted salamanders.
What is a trend line?A graph can be described as a pictorial representation of data. A trend line is used to show the direction of the data plotted. The trend line shown is positive. This means that as the number of spots increases, the weight of the salamander increases. The trendline is strong because most of the dots lie along the trendline.
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7cm
10cm
1 Define the perimeter of any closed two-dimensional shape.
2 Hence, calculate the perimeter of the figure above.
The weather forecast says there is a `75\%` chance it will rain
-3/5, 6/5, -12/5 whats the next term of the geometric sequence?
Answer:
24
Step-by-step explanation:
The numerators are being multiplied by -2
Find h(j+1) if h(x)=4x² + 3x - 2
Answer:
h(j+1) = 4j² +11j +5
Step-by-step explanation:
A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.
__
For function ...
h(x) = 4x² +3x -2
The value of h(j+1) is ...
[tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]
Which relations are functions?
Choose all answers that are correct:
Answer:
A. B and D are functions
Step-by-step explanation:
Functions are either one-to-one or many-to one (x-value --> y value)
C is not a function because -3 (x) maps to 1 and also to 0 (y).