Answer:
3 minutes
Step-by-step explanation:
If Ms. Selwa can run 1/6 of a kilometer in a minute, she can run 3/6 of a kilometer in 3 minutes.
This is because 1/6 times 3 equals 3/6, which is the distance of the school from her home.
So, it will take Ms. Selwa 3 minutes to run to school.
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
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.
Simplify (Asap️ )
please answer this if you know
(full steps required )
(please no spam answers)
see the attachment hope this helps you
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?
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
Helppppp meeeeeeeeeeeeeeeee
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
What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
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!
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?
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.
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)
Answer:
(x+2)2(x+1)(x+4)
Because
x=-4. x=2. x=-1
(x+4). (x+2). (x+1)
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
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:
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.)
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.
To know more about Present Value here
https://brainly.com/question/29116356
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find the value of x in the triangle.
Answer:
The answer is 36°.
Hope it helps.
Step-by-step explanation:
• • •
Through (-1,2) parallel to the line x=5. Find an equation of a line that satisfies the given conditions.
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.
In a parallelogram ABCD, prove that (AC)2 + (BD)2= 2[(AB)? +(BC)?].
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.
–8, –4, 0, 4, 8, 12 What do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence
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.
Pythagorean Theron can someone help me solve this
The area of triangle PQR is 231 cm2 , and PQ = 21 cm. Find the altitude SR. Help me solve this
Answer:
SR = 22 cm
Step-by-step explanation:
area = bh/2
(21 cm)(h)/2 = 231 cm^2
21h = 462 cm
h = 22 cm
SR = 22 cm
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?
Answer:
3
Step-by-step explanation:
5×3=15 she would have 4 left but can't make a full star
(x+8)^2-2(x-8)(x-2)+(x+2)^2=15
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
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).
WILL MARK BRAINLIST!!
Please help!!!
Answer:
the sum of total angles of triangle is 180°.
Kraig deposited money into a money market account. It has an interest of 12% and is compounded annually. Kraig thought 3% would be the equivalent quarterly interest rate. Is Kraig correct? If he is, explain why. If he is not correct, state what the equivalent quarterly interest rate. Explain.
Answer:
If the amount is P, with the interest rate of 12%, the interest over the year is:
P*(1.12) - P = 0.12PIn this case the quarterly interest rate is:
0.12P/4 = 0.03PWith the same amount and 3% quarterly rate, the yearly interest would be:
P*(1.03)^4 - P = 0.1255PThe quarterly interest rate in this case is:
0.1255P/4 = 0.031375PIf the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.
So Kraig is wrong.
4. Find f(x) - g(x)
4 options to chose from
Answer:
Last option
-10x³ + 2x - 8
is the answer
HOPE IT HELPS YOU
Which exponential function has an x-intercept?
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.
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
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
Step by step solution
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
Given: x-5> -10.
I clicked it on accident so ignore the blue thing ! Help needed
Answer:
the first one
Step-by-step explanation:
[tex]x - 5 > - 10 \\ x > - 10 + 5 \\ x > - 5[/tex]
If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
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?
Step-by-step explanation:
this is an example u can see and write it yourself...
Find the volume of this sphere please help
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
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.
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:
