Answers
Answer:
a.11
b.20
c.44
d.5
e.60
f.12
g.4
h.40
i.900
j.6
Step-by-step explanation:
hope this helps
Related Questions
How many terms are in the following geometric sequence? Type your numerical answer only. Do not type any additional characters.
0.0625, 0,25, 1, 4194304
Answers
Given:
The given geometric sequence is:
0.0625, 0.25, 1, ..., 4194304
To find:
The number of terms in the given geometric sequence.
Solution:
We have,
0.0625, 0.25, 1, ..., 4194304
Here, the first term is 0.0625 and the common ratio is:
[tex]r=\dfrac{0.25}{0.0625}[/tex]
[tex]r=4[/tex]
The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a_n=4194304, a=0.0625, r=4[/tex] in the above formula, we get
[tex]4194304=0.0625(4)^{n-1}[/tex]
[tex]\dfrac{4194304}{0.0625}=(4)^{n-1}[/tex]
[tex]67108864=(4)^{n-1}[/tex]
[tex]4^{13}=(4)^{n-1}[/tex]
On comparing both sides, we get
[tex]13=n-1[/tex]
[tex]13+1=n[/tex]
[tex]14=n[/tex]
Therefore, the number of terms in the given geometric sequence is 14.
What is y if the ordered pair (25, y) is a solution of the equation shown?
Answers
Answer:
4
Step-by-step explanation:
y = 1/5x -1
Let x = 25
y = 1/5(25) -1
= 5-1
= 4
y =4
Answer:
I think that it is 4
Step-by-step explanation:
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property
Answers
Answer:
Definition of Congruent angles.
Step-by-step explanation:
Given
See attachment
Required
Complete the proof at step 8
At step 8, we have:
[tex]\angle ABC \cong \angle ABD[/tex]
When the sign [tex]\cong[/tex] is used, it means congruence
In other words;
ABC and ABD are congruent
Hence, the missing statement at step 8 is: Definition of Congruent angles.
Answer:
ABC and ABD are congruent
Step-by-step explanation:
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
Answers
Helppppp meeeeeeeeeeeeeeeee
Answers
Answer:
A. 8/10
Step-by-step explanation:
(0.8 × 10) / (1 × 10) = 8/10 (since, multiplying 10 shifts the decimal point towards the right by one place)
Further, we can reduce fractions 8/10 by dividing the numerator and denominator by 2.
(8 ÷ 2) / (10 ÷ 2) = 4/5
Thus, 0.8 as a fraction is 8/10 or 4/5
Answer:
C
Step-by-step explanation:
https://socratic.org/questions/how-do-you-convert-0-8-8-repeating-to-a-fraction
Through (-1,2) parallel to the line x=5. Find an equation of a line that satisfies the given conditions.
Answers
Answer:
x= -1
Step-by-step explanation:
Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.
Given that the line passes through (-1, 2), the equation of the line is x= -1.
Parallel lines have the same slope and will never meet.
WILL MARK BRAINLIST!!
Please help!!!
Answers
Answer:
the sum of total angles of triangle is 180°.
4x + 3x + 2x = 180°
9x = 180°
x = 180° / 9
x = 20°
4x = 4 × ( 20° )
4x = 80°
3x = 3 × ( 20° )
3x = 60°
2x = 2 × ( 20° )
2x = 40°
is (x-2) a factor of f(x) = x^3 − 2x^2 + 2x + 3, use either remainder theorem or factor theorem to explain your reasoning
Answers
Answer:
Step-by-step explanation:
x-2=0
x=2
f(2)=2³-2(2)²+2(2)+3=8-8+4+3=7≠0
so x-2 is not a factor of f(x).
Step by step solution
Answers
Answer:
b is correct answer
Step-by-step explanation:
when we write logarithmic terms we change the result from number which is power of 3
In a parallelogram ABCD, prove that (AC)2 + (BD)2= 2[(AB)? +(BC)?].
Answers
Answer:
AC² + BD² = 2[AB² + BC²]
Step-by-step explanation:
Let the parallelogram be ABCD with sides AB, BC, CD and AD. It also has diagonals AC and BD.
Since the diagonals are perpendicular and bisect each other at their mid-point, and P is the point of intersection of the diagonals, we have that AP = AC/2, PC = AC/2, PB = BD/2 and PD = BD/2.
Since APB forms a right angled triangles with length of sides AP, PB and AB where AB is the hypotenuse side, using Pythagoras' theorem, we have
AB² = AP² + PB²
Since AP = AC/2 and PB = BD/2, we have
AB² = (AC/2)² + (BD/2)²
AB² = AC²/4 + BD²/4 (1)
Also, BPC forms a right angled triangles with length of sides BP, PC and BC where BC is the hypotenuse side, using Pythagoras' theorem, we have
BC² = BP² + PC²
Since PC = AC/2 and PB = BD/2, we have
BC² = (AC/2)² + (BD/2)²
BC² = AC²/4 + BD²/4 (2)
Adding equations (1) and (2), we have
AB² = AC²/4 + BD²/4 (1)
+
BC² = AC²/4 + BD²/4 (2)
AB² + BC² = AC²/4 + BD²/4 + AC²/4 + BD²/4
AB² + BC² = AC²/2 + BD²/2
Multiplying through by 2, we have
2[AB² + BC²] = AC² + BD²
So, AC² + BD² = 2[AB² + BC²] which proves our expression.
help mePsychologists striving to understand the human mind may study the nervous system. Learning how the cells and organs (like the brain) function, help us understand the biological basis behind human psychology. The nervous system is composed of two basic cell types: glial cells (also known as glia) and neurons. Glial cells, which outnumber neurons ten to one, are traditionally thought to play a supportive role to neurons, both physically and metabolically. Glial cells provide scaffolding on which the nervous system is built, help neurons line up closely with each other to allow neuronal communication, provide insulation to neurons, transport nutrients and waste products, and mediate immune responses. Neurons, on the other hand, serve as interconnected information processors that are essential for all of the tasks of the nervous system. This section briefly describes the structure and function of neurons.
Answers
Answer:
Hope this helps!
Step-by-step explanation:
Which statement best evaluates the effectiveness of the conclusion
paragraph?
Thesis Statement: My future job must include human interaction, a
nontraditional workspace, and teamwork.
Main Points:
1. Work with people
2. Work in a nontraditional workspace
3. Work in a place where coworkers share ideas
Conclusion: In the end, my future job will be one that allows me to
collaborate with my coworkers in dynamic and nontraditional
workspaces. If I am forced to sit behind a desk I will be extremely bored. Furthermore, I will be less productive if I am forced to work alone without the chance to discuss ideas with my coworkers. So the next time an adult asks me what I want to do when
I grow up, I will tell them a job without a desk, in an office full of
people. That's my dream job!
A. The conclusion is effective because it presents interesting information not addressed in the body paragraphs.
B. The conclusion is ineffective because it does not restate the thesis in a new way.
C. The conclusion is effective because it restates the thesis, summarizes the main points, and includes a satisfying close.
D. The conclusion is ineffective because it fails to leave the reader with a thought-provoking question.Which statement best evaluates the effectiveness of the conclusion paragraph?
Thesis Statement: My future job must include human interaction, a
nontraditional workspace, and teamwork.
Main Points:
1. Work with people
2. Work in a nontraditional workspace
Answer:
Were is the question?
Step-by-step explanation:
Find the volume of this sphere please help
Answers
Answer:
Volume = 108 ft³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
From the picture attached,
Radius of the sphere = 3 ft
By substituting the value of r in the expression,
Volume = [tex]\frac{4}{3}\pi (3)^{3}[/tex]
= 36π
= 36×3
= 108 ft³
Find the present value that will grow to $24000 if interest is 3% compounded quarterly for 14 quarters. The present value is $ . (Round to the nearest cent as needed.)
Answers
Answer:
$21,616.26.
Step-by-step explanation:
24000 =P(1 + 0.03/4)^14
P = 24000 / (1 + 0.03/4)^14)
21,616.26.
=
The present value that will grow to $24000 if interest is 3% compounded quarterly for 14 quarters is $21,482.40
To find the present value that will grow to $24,000 at 3% interest compounded quarterly for 14 quarters, we use the formula for compound interest:
[tex]PV = FV / (1 + r/n)^{(n*t)}[/tex]
Where:
PV = Present Value
FV = Future Value ($24,000)
r = Annual interest rate (3% or 0.03 as a decimal)
n = Number of compounding periods per year (quarterly, so n = 4)
t = Number of years (14 quarters = 14/4 = 3.5 years)
Substitute the values into the formula:
PV = [tex]$24,000 / (1 + 0.03/4)^{(4*3.5)}[/tex]
PV = [tex]$24,000 / (1 + 0.0075)^{(14)}[/tex]
PV = [tex]$24,000 / (1.0075)^{14}[/tex]
PV ≈ $21,482.40 (rounded to the nearest cent)
Therefore, the present value required for it to grow to $24,000 in 14 quarters at 3% interest compounded quarterly is approximately $21,482.40.
In this explanation, we used the formula for compound interest to calculate the present value (PV). The formula accounts for the future value (FV), the annual interest rate (r), the number of compounding periods per year (n), and the time in years (t). By plugging in the given values and performing the calculations, we arrived at the present value of approximately $21,482.40.
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If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
Answers
4. Find f(x) - g(x)
4 options to chose from
Answers
Answer:
Last option
-10x³ + 2x - 8
is the answer
HOPE IT HELPS YOU
Write the equation of the graph shown below in factored form.
f(x) = (x − 2)2(x + 1)(x − 4)
f(x) = (x + 2)2(x − 1)(x + 4)
f(x) = (x + 2)2(x + 1)(x + 4)
f(x) = (x − 2)2(x − 1)(x − 4)
Answers
Answer:
(x+2)2(x+1)(x+4)
Because
x=-4. x=2. x=-1
(x+4). (x+2). (x+1)
Given: x-5> -10.
I clicked it on accident so ignore the blue thing ! Help needed
Answers
Answer:
the first one
Step-by-step explanation:
[tex]x - 5 > - 10 \\ x > - 10 + 5 \\ x > - 5[/tex]
–8, –4, 0, 4, 8, 12 What do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence
Answers
Answer:
Arithmetic sequence
Step-by-step explanation:
An list of numbers whereby the difference between each consecutive number is constant is called an arithmetic sequence. Given thelistvif numbers:
–8, –4, 0, 4, 8, 12 ;
We can see that each consecutive number in the list has a constant difference of 4. Hence x this is called an arithmetic sequence.
Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?
Answers
Answer:
x = 12 m = 87
Step-by-step explanation:
x = Dave
(7x + 3) + x = 99
8x + 3 = 99
-3 -3
8x = 96
---- ----
8 8
x = 12
7(12) + 3
84 + 3
87
Dave has 12 dollars, Martha has 87.
What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
Answers
Answer:
[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]
Step-by-step explanation:
Hi there!
[tex]y = 6x^2 - 17x - 3[/tex]
Factor by grouping:
[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]
Let y=0. Apply the zero product property:
[tex]0 = (6x+1)(x- 3)[/tex]
[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]
AND
[tex]x-3=0\\x=3[/tex]
I hope this helps!
Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
VX
0 38 units
3x - 1
44 units
2x + 2
49 units
D
2y + 6
С
Answers
Answer:
3rd option, 44 units
Step-by-step explanation:
3x-1 = 2x+2
or, x = 3
so each side, 3×3-1 = 8
4y-2 = 2y+6
or, y = 4
so each side, 4×4-2 = 14
so perimeter
= 2(8+14)
= 44 units
Answered by GAUTHMATH
Lila uses craft sticks to make stars for an art project. She uses 5 craft sticks for each star,and she has 19 craft sticks. Lila makes as many stars as she can how many stars does Lila make?
Answers
Answer:
3
Step-by-step explanation:
5×3=15 she would have 4 left but can't make a full star
Sally collected 22 pounds of cans to recycle
and plans to collect 1.8 more pounds each
week. In this situation, what is the value of
the y-intercept?
Answers
Step-by-step explanation:
this is an example u can see and write it yourself...
Simplify (Asap️ )
please answer this if you know
(full steps required )
(please no spam answers)
Answers
see the attachment hope this helps you
Pythagorean Theron can someone help me solve this
Answers
(x+8)^2-2(x-8)(x-2)+(x+2)^2=15
Answers
if two similar rectangles have a scale factor of 5:2 and the area of the smaller rectangle is 45 cm^2, what will be the area of the larger rectangle?
Answers
Answer:
281.25 cm^2
Step-by-step explanation:
Given that,
The scale factor of Two similar triangles = 5:2
Area of the smaller rectangle = 45 cm^2
To find,
The Area of the larger rectangle = ?
Procedure:
As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.
(5)^2/(2)^2 = a/45
∵ The area of the larger rectangle = 25/4 * 45
= 281.25 cm^2
Which exponential function has an x-intercept?
Answers
Answer:
y = a^x is an exponential function with an x intercept.
Step-by-step explanation:
y = a^x is the standard form of an exponential function.
Which of the following are interior angles in the figure below?
O
A. 21, 22, and 26
B. 25 and 26
C. 23 only
D. 21, 22, and 23
Answers
Answer:
(A), 21, 22,and 26
Step-by-step explanation:
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josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425
A. 10 seconds
B. 6.25
C. 400
D. 0 seconds
Answers
Answer:
A
Step-by-step explanation:
cause it will be more faster just because it is in a solid phase or it is solid
The time taken to hit the ground is 6.25 sec.(Option B)
How to calculate time?
It is given that penny follows the trajectory:
[tex]y = -4.9x^2 + 32x + 425[/tex]
Differentiating it we get:
[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]
At y=425, it is obvious that x=0
So dy/dx at x=0 is 32.
Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).
Ф[tex]=\tan^{-1}(32)[/tex]
Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec
Now applying the equation of motion: acceleration=-32ft/sec^(2)
u=31.98ft/sec s=-425 t=?
[tex]s=ut+\frac{1}{2} at^{2}[/tex]
[tex]-425=31.98t-16t^2[/tex]
[tex]16t^2-31.98t-425=0[/tex]
Solving the quadratic equation we get:
t=6.249 sec≅6.25 sec
Therefore, the time taken is 6.25 sec.
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