Answers
Answer:
(b) 65/27
Step-by-step explanation:
Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.
The sum represented by the summation symbol is ...
5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3
= 5(1 -2/3 +4/9 -8/27)
= 5/27(27 -18 +12 -8)
= 5(13/27) = 65/27
__
There is a formula for the sum of a geometric series:
Sn = a1×(1 -r^n)/(1 -r)
Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...
S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27
Related Questions
Which symbol would correctly compare the values shown be
1-8|?|8
Answers
Answer:
=
Step-by-step explanation:
|-8|?|8|
8 ? 8
8 = 8
Hope this helps :)
7x+ 8=29 how to solve it
Answers
Answer:
the correct answer is x = 3
Step-by-step explanation:
you solve this by moving all the terms that dont contain x to the right side and solve the equation.
hope this helps
have an awesome day -TJ
pls mark brainliest if this helps you :)
helpppp :) 50 points
An equation is shown below:
4(2x – 5) = 4
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answers
Answer:
x = 3
Step-by-step explanation:
A only 1 solution
B
4(2x - 5) = 4 ( divide both sides by 4 )
2x - 5 = 1 ( add 5 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Answer:
[tex]\boxed{\sf{x=3}}[/tex]Step-by-step explanation:
Isolate it by the term of x from one side of the equation.
Part A. There will be one solution.Part B.4(2x-5)=4First, divide by 4 from both sides.
[tex]\sf{\dfrac{4\left(2x-5\right)}{4}=\dfrac{4}{4}}[/tex]
Then, solve.
4/4=1
Rewrite the problem down.
2x-5=1
Add by 5 from both sides.
[tex]\sf{2x-5+5=1+5}[/tex]
Solve.
1+5=6
2x=6
Divide by 2 from both sides.
2x/2=6/2
Solve.
Divide the numbers from left to right.
6/2=3
x=3
Therefore, the correct answer is x=3.I hope this helps you! Let me know if my answer is wrong or not.
HELP PLEASE FOR NUMER 3 and 4 PLEAESE ASAP ANI WILL GIVE BRANILESS FOR THE FIRST PERSON
Answers
Step-by-step explanation:
what number you need help with
Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!
Answers
Answer/Step-by-step explanation:
All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2
Answer: False
Explanation:
[tex]3x^2-12+12=0+12[/tex]
[tex]3x^2=12[/tex]
[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]
[tex]x^2=4[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{4},\:x=-\sqrt{4}[/tex]
[tex]x=2,\:x=-2[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There are two unique solutions to the equations (x-3)^2 = 16
Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.
Answer: True
Explanation:
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0
Answer: False
Explanation:
[tex]2\left(x-3\right)^3-18+18=0+18[/tex]
[tex]2\left(x-3\right)^3=18[/tex]
[tex]\frac{2\left(x-3\right)^3}{2}=\frac{18}{2}[/tex]
[tex]\left(x-3\right)^3=9[/tex]
[tex]\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]
[tex]=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Answer: False
Explanation:
[tex]2\left(x-5\right)^2-8+8=0+8[/tex]
[tex]2\left(x-5\right)^2=8[/tex]
[tex]\frac{2\left(x-5\right)^2}{2}=\frac{8}{2}[/tex]
[tex]\left(x-5\right)^2=4[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8
Answer: False
Explanation:
[tex]\left(x+3\right)^2-25+25=-8+25[/tex]
[tex]\left(x+3\right)^2=17[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{17}-3,\:x=-\sqrt{17}-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4
Answer: False
Explanation:
[tex]\frac{2\left(2x-1\right)^2}{2}=\frac{18}{2}[/tex]
[tex]\left(2x-1\right)^2=9[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=2,x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The only solution for equation (2x-1)^2-49=0 is x = 4
Answer: False
Explanation:
[tex]\left(2x-1\right)^2-49+49=0+49[/tex]
[tex]\left(2x-1\right)^2=49[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=4,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1
Answer: True
Explanation:
[tex]3\left(x+2\right)^2-3+3=0+3[/tex]
[tex]3\left(x+2\right)^2=3[/tex]
[tex]\frac{3\left(x+2\right)^2}{3}=\frac{3}{3}[/tex]
[tex]\left(x+2\right)^2=1[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=-1,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6
Answer: True
Explanation:
[tex]5x^2-180+180=0+180[/tex]
[tex]5x^2=180[/tex]
[tex]\frac{5x^2}{5}=\frac{180}{5}[/tex]
[tex]x^2=36[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{36},\:x=-\sqrt{36}[/tex]
[tex]x=6,\:x=-6[/tex]
~Lenvy~
I’ll give brainiest to the best solved An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
Answers
The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
The volume of a cone is calculated as:
For the small cone, we have the following parameters:
Diameter = 3 inches
Height = 3.5 inches
Diameter = 4.5 inches
Height = 5.1 inches
So, the volume of the large cone is:
Calculate the difference of both volumes
Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
Read more about volumes at:
brainly.com/question/8994737
Classify the following triangle. The
O A. Scalene
O B. Equilateral
C. Isosceles
D. Acute
O E Right
O F. Obtuse
Answers
Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.
Equilateral triangle: An equilateral triangle is a triangle in which all three sides have the same length.
Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.
Acute Triangle: An acute triangle is a triangle with three acute angles.
Right Triangle: A triangle in which one of the interior angles is 90° is called a right triangle.
Obtuse Triangle: An obtuse triangle is a triangle with one obtuse angle and two acute angles.
Over 7 months, the weight of a baby measured in pounds doubled. Does its weight measured in kilograms also doubled
Answers
Answer:
Yes
Step-by-step explanation:
Yes. Explanations vary. Sample explanation: The weight itself doubles, so
any measurement of the weight using the same units will also double. We
can also see that by saying if the weight is x pounds, then double that weight
would be 2x pounds. The weight in kilograms will be x ÷ 2.2, and the double
weight will be or (2x) ÷ 2.2 2(x ÷ 2.2), which is also double.
What is the area of this triangle?
Enter your answer in the box.
units
Answers
[tex]S=\frac{1}{2}\times4\times4=8\ {\rm units}^2[/tex]
[tex]\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}[/tex]
I hope this helps you
:)
Are my answers correct?
Answers
Answer:
Check the last answer...
Step-by-step explanation:
Look at image above...
What are the x intercepts for the following
function? f(x) = x2 - 4x + 4
a. 2 and 4
b. -1 and O
c. -4 and 4
d. 2
Answers
Answer: 2
Step-by-step explanation: It is 2. You can use the vertex formula x= (-b/2a) 4/2(1), which is 2 and x=2 is the x intercept.
Ann sells beaded necklaces. Each large necklace sells for $5.40 and each small necklace sells for $4.30. How much will she earn from selling 3 large necklaces and 1 small necklace?
Answers
Answer
20.5
Step-by-step explanation:
You multiply 5.4 and 3 to get 16.2. Then you add 16.2 and 4.3 to get 20.5.
Help on this pleasee
Answers
Answer: 40 degrees
Step-by-step explanation:
The function f(x)=x^2 is graphed on the coordinate grid.
Use the Parabola tool to graph g(x).
g(x)=3x^2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
other points:
x y
-2 12
-1 3
0 0
1 3
2 12
Let's see
g(x)=3x^2Take some cordinates
(0,0)(1,3)(-1,3)(2,12)(-2,12)Graph attached
PLS HELP ME I WILL MARK THE BRAINLIEST
Answers
Answer:
a. 314.2 in²
b. 36 m²
c. 60 m²
Step-by-step explanation:
The areas of these plane figures can be found by substituting the given dimensions into the area formula.
a.The area of a circle can be found from its diameter to be ...
A = (π/4)d²
A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²
__
b.The area of a parallelogram can be found as ...
A = bh
A = (9 m)(4 m) = 36 m²
__
c.The area of a triangle can be found from ...
A = 1/2bh
A = 1/2(15 m)(8 m) = 60 m²
_____
Additional comment
A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)
A notebook company makes notebooks with covers in 2 different colors. A school district ordered 301 notebooks in each color. How many notebooks in total did the school district order?
Answers
Evaluate the expression 10 + (8 - 4)2 ÷ 2.
Answers
Answer:
10 + (8 - 4)2÷2
10 + (4)2 ÷2
10 + 8 ÷ 2
10 + 4
= 14
PLEASE HELP QUICK !!!!
For each of the following functions, list the excluded values from the
domain:
f (x) =
g(x) =
2-3
22 9
h(x) = V16 – 22
Answers
Answer:
fx is 4, gx is 3, hx is anything greater than, not equal to, 4.
Hope this helps!
Examine this right triangle. A right triangle has a side length of 16 meters and hypotenuse of 20 meters. Which equation can be used to find the missing leg in the triangle? a2 202 = 162 202 162 = a2 a2 162 =202 16 a2 = 20.
Answers
The equation can be used to find the missing leg in the triangle [tex]20^{2} = 16^{2} +a^{2}[/tex].
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
It is given that a right triangle has a side length of 16 meters and a hypotenuse of 20 meters.
From a Pythagoras theorem
[tex]b^{2} = c^{2} +a^{2} \\20^{2} = 16^{2} +a^{2}\\20^{2}-16^{2} =a^{2}\\a^{2} = 20^{2}-16^{2} \\[/tex]
Thus, the equation can be used to find the missing leg in the triangle [tex]20^{2}-16^{2} =a^{2}[/tex].
Learn more about the right-angle triangle;
https://brainly.com/question/5474676
Answer:
Its C
a2 + 162 =202
Step-by-step explanation:
The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).
Answers
can you please help me?
Answers
Answer:
102 dollars
Step-by-step explanation:
Distance time and speed
Answers
It took 8 seconds
Speed = distance / time
80 / 8 = 10
22) 80 meters
23) 8 seconds
24) 10 m/s
!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
Answers
Answer:
B) [tex]x^{2} -16x+64=-21+64[/tex]
Step-by-step explanation:
The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.
See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!
Have a great day!
its literally 15 points
How do i find lateral area?
dont answer in a confusing way please i just need to understand this :(
Answers
Answer:
There are many areas but
Step-by-step explanation:
Area of square is L × W
where you multiply both length × width you get the answers squared
Area of a cube is L × W × H
this is where you multiply all length × width × height and get the answer cube
1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?
Answers
Answer:
34
Step-by-step explanation:
Sum of two numbers = 7
1+6
2+5
3+4
34+9=43
Mrs. o'brien used a compass to draw two circles on a coordinate plane. circle a is centered at (3,-1)
and has a radius of 4 units. circle b is centered at (4, 5) and has a
radius of 3 units. select all of the
transformations that can be performed on circle a to prove that it is similar to circle b.
Answers
To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
What is transformation?
Transformation is the movement of a point from its initial location to a new location.
Types of transformation are rotation, translation, dilation and reflection.
To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
Find out more on transformation at: https://brainly.com/question/4057530
please help I'll give brainliest if answer is right
Answers
Answer:
The area is about 96.06 or 96.1
Step-by-step explanation:
I tried my best to solve it, I'm sorry if it's wrong.
which European country colonized Brazil?
Answers
Answer:
Portugal in 1815 colonize Brazil.
if a pyramid 20yd,18yd,18yd what is the surface area
Answers
15YD
Step-by-step explanation:
Question 4: there are 7 frosted donuts and 43 not frosted. what is the
ratio of frosted to total donuts?
a) 7 to 43
b) 50 to 7
c) 43 to 7
d) 7 to 50
Answers
Answer:
answer is a
Step-by-step explanation:
ur welcome