Given the sequence \\(\\frac{1}{4},\\frac{1}{8},\\frac{1}{16}\\)\nthen r is _____
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
For geometric sequences, we find r by dividing one of the terms by the last. So we could do [tex]\frac{1}{\frac{16}{\frac{1}{8}}}[/tex]or [tex]\frac{1}{\frac{8}{\frac{1}{4}}}[/tex] and it'll give us the same result (1/2)
Related Questions
GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:
y = 2x + 3
4x + y = -3
Group of answer choices
(-1 , -1)
(-1 , 1)
(1 , 1)
(5 , 7)
Answers
Answer:
(-1,1)
Step-by-step explanation:
4x+2x+3=-3
6x+3=-3
6x=-6
x=-1
y=2(-1)+3
y=-2+3
y=1
Why are they called congruence transformations?
Answers
Answer:
That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.
City officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected. Suppose that 51 percent of the sample are in favor of building a new city park. Which of the following is true about the sampling distribution of the sample proportion for samples of size 150?
Answers
Answer:
D
Step-by-step explanation:
The distribution is approximately normal, and the mean is 0.46.
what is the slope of the line represented by the equation?
Answers
Answer:
It is 4/5
Step-by-step explanation:
hope it helps ^^
Select the correct answer.
Which equation, when solved, gives 8 for the value of x?
7
3
O A. x += *x+14
OB. 85-9=31-12
Oct-2=2x-4
OD. 3*-7= 4x+14
Answers
Answer:
Answer:
B
Step-by-step explanation:
find the scale factor from DEF to ABC
Answers
Answer:
³/2 (1.5)
Step-by-step explanation:
∆DEF was enlarged to get ∆ABC. The scale factor would be:
The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.
Thus,
BC:EF = 12:8
= 12/8
= 3/2 = 1.5
Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5
The world sugar production is 97,200,000
Brazil produces 9.7% of this sugar
Work out how much sugar brazil produces
Answers
Answer: Brazil produces 9,428,400 sugar.
Step-by-step explanation:
That is the answer because 9.7% of 97,200,000 is 9,428,400.
The volume of a cylinder is found using the formulaV = pi r^2. If the height is doubled, then the volume is:
increased by 2
increased by 4
two times larger
4 times larger
Answers
Answer:
the volume will be doubled if the height is doubled
hope it helps you
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answers
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6
Answers
Answer:
D
Step-by-step explanation:
plug in both values into the equations, and whichever one works for both is the right answer
the required equation is, D. y= x+6
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (-2,4) and, (2,8)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x+2)=(8-4)/(2+2)
=>y-4=x+2
=>y=x+6
Hence, the required equation is, D. y= x+6
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need help asap please
Answers
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
UT is shorter than WT, therefore you cannot use it on this triangle.
I am joyous to assist you at any time.
can someone help me please
Answers
Answer:
y-intercept = 1
Slope = 4
Step-by-step explanation:
First, we know that the point-slope equation of a line is given as y = mx + b. Where,
m is the slope, and
b is the y-intercept.
Now let's use this knowledge to solve the given problem.
✔️y-intercept of the equation, y = -2x + 1, would be what? What does b (y-intercept) represented by in the equation?
Our answer is "1".
y-intercept = 1
✔️Slope of y = 4x - 3:
The slope (m) in this equation is 4.
kirana buys boxes of crackers that each has the same cost x. she represents the cost of 3 boxes of cheese crackers, 5 boxes of poppy seed crackers, and 4 boxes of plain crackers using the expression 3x+5x+4x. What equivalent expression can represent the cost.
A. 3•5•4•x
B. 10x
C. 12x
Answers
Answer:
c. 12x
Step-by-step explanation:
During a sale, a 10-speed bike was
marked down from $90 to $70. What
was the percent discount?
Answers
Answer:22.2%
thank me later
James throw a ball from the root of a building. The ball fell 3 feet in the first second, 9 feet in the next second, and 27 feet in the third second. Which expression represents the distance the ball fell at the nth second?
Answers
where D=distance the object has fallen, g=9.81m/sec^2(being the pull of gravity), t=time elapsed in seconds.
10 points Find the missing angle.
Answers
Answer: 63
Step-by-step explanation:
Add the two numbers you have then subtract from 180 because a triangle is 180 degrees
If CE = 3x - 10 and EA = 2x + 1, then CA=
Answers
Answer:
46
Step-by-step explanation:
First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.
It should look like this:
3x - 10 = 2x + 1
Now you just need to solve it.
1) First you add 10 on both sides.
3x - 10 = 2x + 1
+ 10 = + 10
------------------------
3x = 2x + 11
2) Then you subtract 2x on both sides.
3x = 2x + 11
- 2x =- 2x + 11
-------------------------
x = 11
3) Now you plug in 11 for x.
3x - 10 = 2x + 1
Like this:
3(11) - 10 = 2(11) + 1
33 - 10 = 22 + 1
23 =23
So C to E and E to A = 23
To get from C to A just add 23 + 23 which is 46. And that is ur answer.
Answer:
it is 46
Step-by-step explanation:
First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.
It should look like this:
3x - 10 = 2x + 1
Now you just need to solve it.
1) First you add 10 on both sides.
3x - 10 = 2x + 1
+ 10 = + 10
------------------------
3x = 2x + 11
2) Then you subtract 2x on both sides.
3x = 2x + 11
- 2x =- 2x + 11
-------------------------
x = 11
3) Now you plug in 11 for x.
3x - 10 = 2x + 1
Like this:
3(11) - 10 = 2(11) + 1
33 - 10 = 22 + 1
23 =23
So C to E and E to A = 23
To get from C to A just add 23 + 23 which is 46. And that is ur answer.
you can slove this in this way if want more explansion ask me
I will give brainiest to whoever answers correctly !!
Answers
To find the percentage decrease, we take the decrease and we divide by the original number and multiply by 100.
Decrease = 41
Original number = 470
% decrease = (41/470)*100 = 8.72%
X^2+ 2x – 35 = 0? .............
Answers
What is an angle that is complementary to DGE?
(Please hell I’ll reward)
Answers
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) 4 1 + 2x ≈ 1 + 1 2 x
Answers
Answer:
x ∈ [-0.369, 0.678]
Step-by-step explanation:
To prove - [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x
As given , f(x) = [tex]\sqrt[4]{1 + 2x}[/tex]
As we know that the linear approximation can be defined as :
L(x) = f(a) + f'(a)(x-a) .........(1)
Now,
We have to show that at a = 0 , equation (1) satisfies
Now,
f(0) = [tex]\sqrt[4]{1 + 0}[/tex] = 1
Also,
f'(x) =
[tex]\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\[/tex]
∴ we get
f'(x) = [tex]\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }[/tex]
⇒f'(0) = [tex]\frac{1}{2}[/tex]
Now, equation (1) becomes
L(x) = f(0) + f'(0)(x-0)
= 1 + [tex]\frac{1}{2}[/tex] (x)
⇒ [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x
Hence verified.
Now,
|[tex]\sqrt[4]{1 + 2x}[/tex] - (1 + [tex]\frac{1}{2}[/tex] x ) | ≤ 0.1
⇒ -0.36893 ≤ x ≤ 0.67766
⇒x ∈ [-0.369, 0.678]
Algebra 2 Please Help
Answers
Answer:
daaaaaaaaaa
Step-by-step explanation:
ssdddsss
Find the value of x.
a.17
b.12
c.40
d.18
e.none are correct
Answers
Answer:
b.12
Step-by-step explanation:
Key skills needed: Interior Angle Measure Theorem, Equation Creation
1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures
The theorem is: [tex]S = (n - 2)180[/tex]
S is the sum of all interior angle measures
n is the number of sides of the polygon
2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:
---> [tex]S = (7-2)180[/tex]
---> (7-2) is 5 since 7 - 2 = 5 so --> [tex]S = 5(180)[/tex]
---> 5(180) is the same as 5 x 180 which is 900 so --> [tex]S = 900[/tex]
This means that the sum of all interior angles is 900 degrees.
3) Now, we have to find out the sum of all the angles that they gave us so:
---> [tex]10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900[/tex]
The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.
4) We have to combine all like terms on the left side:
---> [tex]10x + 10x + 9x + 12x + 10x = 51x[/tex]
---> [tex]9 + 133 + 14 -9+5+136 = 288[/tex]
5) This means that ---> [tex]51x + 288 = 900[/tex]
Subtract 288 from both sides and get:
---> [tex]51x = 612[/tex] (900-288 = 612)
Then divide by 51 from both sides and get:
---> [tex]x = 12[/tex] (612 ÷ 51 = 12)
Therefore b.12 is your answer.
Hope you understood and have a nice day!! :D
can someone help me?
Answers
Step-by-step explanation:
the answer would be
4
2
1
3
5
The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?
Answers
Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:
[tex]5^2 + 10^2 = c^2[/tex]
Now we get the squares of 5 and 10:
[tex]25 + 100 = c^2[/tex]
Add 25 and 100:
[tex]125 = c^2[/tex]
Take the square root from both sides:
[tex]11.18033... = c[/tex]
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
The length of Hypotenuse = 11.18 cm
What is Pythagoras Theorem?In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Given,
In right angle ΔABC
AB = 5 cm
BC = 10 cm
AC = ?
By the Pythagoras theorem,
AC² = AB² + BC²
AC² = 5² + 10²
AC² = 25 + 125
AC = √125 = 11.18
Hence, 11.18 cm is the length of Hypotenuse AC .
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What is the slope-intercept equation for the following line? I need help answering
Answers
Answer:
y = -4x - 3
Step-by-step explanation:
The b in the slope-intercept equation represents the y-intercept.
The line crosses the y-axis at (0,-3). Therefore, b = -3.
Since the line is decreasing from left to right, the slope will be negative.
From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.
The slope will be -4/1 or -4.
Therefore, the equation of the line will be y = -4x - 3.
Hope that helps.
Approximately 45 of U.S. homeowners have a cell phone. What percent of homeowners do not have a cell phone?
A 45%
B 20%
C 80%
D 55%
Answers
Answer:
if it's out of 100 it would be 55
Step-by-step explanation:
Answer:
D 55%
Step-by-step explanation:
I am assuming that the "45" is 45$ so then we do 100%-45$=55% But, if the "45" is 1 in 45, then the answer is 1-1/45=44/45 which rounds to 98%. That isn't any of the answers, so should be 55%
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes?
Answers
Answer: 4.5 cups
Step-by-step explanation:
2:10
4:20
half of a cup would be 5 pancakes
so, 4.5 cups of flour will make 25 pancakes.
It costs $237.00 to buy beef to make 290 meatballs. What will the cost be to make 120 meatballs?
Answers
Answer:
$98.07
Step-by-step explanation:
Divide 237 by 290 to get the unit price of each meatball
237 / 290 = 0.8172413793
Multiply 0.8172413793 by 120 to get the total cost to make the meatballs
0.8172413793 * 120 = 98.068965516
Round that number to the nearest hundredth
Answer: $98.07
Please help with this please
Answers
20; p/41
good luck
Answer:
19. w * 32
20. p / 41
Step-by-step explanation:
Product is multiplication, divided by is division.
Make sure you pay attention to what the problem says, because multiplication terms can be moved around, but division has to go a certain way.
p / 41
is not the same as
41 / p
however
w * 32
is the same thing as
32 * w