Answer:
1,4,16,64,245,1024
Step-by-step explanation:
a1 =1
an = 4 * an-1
Let n = 2
a2 = 4*a1 = 4*1=4
Let n = 3
a3 = 4*a2 = 4*4 = 16
Let n = 4
a4 = 4*a3 = 4*16 = 64
Let n = 5
a5 = 4*a4 = 4*64 = 256
Let n = 6
a6 = 4*a5 = 4*256 = 1024
10-d=34-5d[tex]10-d=34-5d[/tex]
Answer:
d = 6
Step-by-step explanation:
10 - d = 34 - 5d
add d to both sides to make all the d's on one side
10 = 34 - 4d
subtract 34 from both sides to isolate the d and its coefficient
-24 = -4d
divide both sides by -4 to isolate d
d = 6
Find the volume of the prism.
4 m
5 m
19 m
Answer:
19×5×4=380
answer: 380 m³
[tex]\boxed{\sf Volume=2(LB+BH+LH)}[/tex]
[tex]\\ \sf\longmapsto Volume=2(5\times 4+4\times 19+5\times 19)[/tex]
[tex]\\ \sf\longmapsto Volume=2(20+76+95)[/tex]
[tex]\\ \sf\longmapsto Volume=2(191)[/tex]
[tex]\\ \sf\longmapsto Volume=382m^3[/tex]
Find an equation of the circle whose diameter has endpoints , (−6,−1) and (2,3).
Answer:
first... You think and Conceptualize
A diameter divides a circle into equal halves
We're given the end points of the Diameter.
With this we can fine the Center of the circle.
The End Points are
(-6, -1) and ( 2, 3)
Half-way through the diameter gives the center of the circle
So We'd apply the Mid-Point formula to get the co-ordinate of the center.
X= x₁ + x₂/2 , Y = y₁ + y₂/2
X = -6 + 2/2, Y = -1 + 3/2
X= -2. Y = 1
The Midpoint is (-2, 1)
The Radius would be the distance between the center and a point on the circumference.
We already have 2 points of the circumference (Which are the endpoints of the diameter).
So we can pick any of them arbitrarily.
I'd go with (2,3)
So We'd apply the distance between Points formula to get the magnitude of the radius
(-2,1) (2,3)
D = √(x₁ - x₂)² + (y₁ - y₂)²
D = √(-2-2)² + (1-3)²
D=√(-4)² + (-2)²
D=√20.
Our Radius is √20.
Equation of Circle =
(x-h)² + (y-k)² = r²
Where h and k are the center of the circle(-2,1)
(x-(-2))² + ( y - 1 )²= (√20)²
(x + 2)² + ( y - 1)² = 20
Our Answer
(x + 2)² + (y - 1)² = 20.
This should be it.
Have a great day!
Someone help me!!! Help
Answer B.ED
Step-by-step explanation:
Agyappng is three times as old as Atsu .three years ago ,he was four times as old as Atsu ..how old is each boy now
9514 1404 393
Answer:
Atsu is 9Agyappng is 27Step-by-step explanation:
Let x represent Atsu's current age. Then Agyappng is 3x. Three years ago the relationship was ...
(3x -3) = 4(x -3)
9 = x . . . . . . . . . . . . add 12-3x
Atsu is 9; Agyappng is 27.
Geometry help I don’t know any of this stuff!!
Answer:
radius chordsecant linecenterpoints of tangency circumferenceNeed the help thanks guys
Answer:
x=−5+√29 or x=−5−√29
Step
Let's solve your equation step-by-step.
x2+10x+10=14
Step 1: Subtract 14 from both sides.
x2+10x+10−14=14−14
x2+10x−4=0
For this equation: a=1, b=10, c=-4
1x2+10x+−4=0
Step 2: Use quadratic formula with a=1, b=10, c=-4.
x=
−b±√b2−4ac
2a
x=
−(10)±√(10)2−4(1)(−4)
2(1)
x=
−10±√116
2
x=−5+√29 or x=−5−√29
Solve the following system of equations: y + 5 = x
y= x2 – 3x – 5
Answer:
X=0,y=-5
x=4,y=-1
Step-by-step explanation:
Replace all occurrences of y with x^2-3x-5
(x^2-3x-5)+5=x
x^2-3x=x
X^2-4x=0
so :x=0,4
enter the value of x in the equation then find y
y=-5,-1
Given x – 5 < One-fourth (y – 8)2, which graph represents the inequality?
Step-by-step explanation:
x - 5 < 2 (y - 8) • 1/4
x - 5 < (y - 8) / 2
2 (x - 5) < y - 8
2x - 10 < y - 8
2x - 10 + 8 < y
y > 2x - 2
graph 2x - 2 and shade the section above
The graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²
How to determine the graph of the inequality?The inequality of the graph is given as:
x - 5 < 1/4(y - 8)²
Multiply both sides by 4
4x - 20 < (y - 8)²
Rewrite the inequality as:
(y - 8)² > 4x - 20
Hence, the graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²
See attachment for the graph
Read more about graphs at:
https://brainly.com/question/14323743
Angelique travels 75 miles. Jamila travels 115 kilometres. Show that Angelique has travelled futher than Jamila.
Answer:
Step-by-step explanation:
-we know :
we must have the same unit on the distance traveled in order to be able to compare distances
1 mile = 1.6 kilometers
-Angelique traveled 75 miles ( 120 kilometers)
75 miles = 1.6 *75 = 120 kilometers
-Jamila traveled 115 kilometers is given in the problem
-Angelique has travelled further than Jamila because
120 kilometers > 115 kilometers
On Monday the temperature is 0F on Tuesday it is seven degrees warmer what is the temperature?
Answer:
7F
Step-by-step explanation:
Add 7 to 0
0+7 = 7F
Answer:
obviously 7F
Step-by-step explanation:
Just add 7 to the zero and its 7F
in a group of 60 students, 30 can speak nepali only and 15 can speak English only how many can speak english and nepali students
Answer:
45 is the Answer
Step-by-step explanation:
Hope its helpful
Which point is collinear to the point (2, 1)?
OA) (1,0)
OB) (3,2)
OC) (4,1)
OD (1,3)
9514 1404 393
Answer:
all of them (A, B, C, D)
Step-by-step explanation:
Two unique points define a line. Any pair of unique points will always be collinear (reside on the same line).
Each of the points listed, together with (2, 1), will define a line. The two points will be collinear.
Two years ago the population of a town was 40000. The population of the town at present has reached 44100. Calculate the population growth rate of the city.
Answer:
5% annual population growth rate
Step-by-step explanation:
Let the percent the population grows by be [tex]X\%[/tex]. The total population, [tex]f(x)[/tex], after [tex]t[/tex] years can be modeled by the function:
[tex]f(x)=40,000\cdot (\frac{X}{100}+1)^t[/tex]
Why?
Let's take a look at a simple example. If we said a number [tex]n[/tex] grew by 10%, we could represent the number after it grew by multiplying [tex]n[/tex] by [tex]1.10[/tex]. This is because growing by 10% is equivalent to taking [tex]100\%+10\%=110\%[/tex] of that number and we convert a percentage to a decimal by dividing by 100.
Therefore, if the population grew [tex]X\%[/tex], we would divide it by 100 to convert it to a decimal, then add 1 (100%) and raise to the power of [tex]t[/tex] (number of years) to multiply by the initial population of 40,000 to get the total population after [tex]t[/tex] years.
Since the population of the town after two years is 44,100, substitute [tex]f(x)=44,100[/tex] and [tex]t=2[/tex] into [tex]f(x)=40,000\cdot (\frac{X}{100}+1)^t[/tex]:
[tex]44,100=40,000\cdot (\frac{X}{100}+1)^2,\\\\(\frac{X}{100}+1)^2=\frac{44,100}{40,000},\\\\(\frac{X}{100}+1)^2=1.1025,\\\\(\frac{X}{100}+1)^2=\pm \sqrt{1.1025},\\\\\begin{cases}\frac{X}{100}+1=1.05,\frac{X}{100}=0.05, X=\boxed{5\%},\\*\text{negative case is extraneous since X must be positive}\end{cases}[/tex]
Therefore, the city has an annual population growth rate of 5%.
Write an expression that represents the area of the rectangle. Remember A = LW
a)6x2−3x
b)9x2−3x
c)6x-1
d)12x - 2
Answer:
b) 9x² - 3x
Step-by-step explanation:
Area of a rectangle = Length × Width
Area for the rectangle = 3x - 1 × 3x
Area = [tex](3x-1)(3x)[/tex]
Step 1. Multiply by combining like terms
3x · 3x = 9x²
Step 2. Multiply -1 by 3x
-1 · 3x = -3x
Step 3. Combine 9x² and -3x
9x² - 3x
----------------------------------------------------------
doomdabomb: All brainliest and thanks are appreciated
and would mean a lot to me, thanks!
Answer:
The area of a triangle is always one half the base b times the height h.
SEE PICTURE BELOW;
If the base is represented by the expression 4x + 2 and the height is represented by 3x, which expression gives the area of the triangle?
9x 9x2 12x2 + 6x 6x2+ 3x ------->> CORRECTStep-by-step explanation:
Edge 2021
Please help to solve this.
Find sin5x,if sinx+cosx=1,4
Answer:
Hello,
Step-by-step explanation:
we must first remember that:
[tex]\boxed{sin(5x)=5sin(x)-20*sin^3(x)+16*sin^5(x)}\\\\[/tex]
Let say t=sin(x)
[tex]sin(x)+cos(x)=1.4\\\\t+\sqrt{1-t^2}=1.4\\\sqrt{1-t^2}=1.4-t\ we\ square\\1-t^2=1.4^2+t^2-2.8*t\\2t^2-2.8*t+0.96=0\\\Delta=2.8^2-4*2*0.96=0.16=0.4^2\\\\t=\dfrac{2.8-0.4}{4} =0.6\ or\ t=\dfrac{2.8+0.4}{4}=0.8\\\\t^3=0,216\ or\ t^3=0,512\\\\t^5=0,07776\ or\ t^5=0,32768\\\\\boxed{sin(5x)=5*0.6-20*0.216+16*0.07776=-0,07584}\\\\or\\\\\boxed{sin(5x)=5*0.8-20*0.512+16*0.32768=-0,99712}[/tex]
Simone invests $2,000 in an account that compounds interest quarterly and earns 9%. How many years will it take for his money to double? (Round your answer to one decimal place.)
no te puedo contestarte yo no hablo inglés
Solve for x
Answer options:
4
5
8
3
2
Answer:
But the answer is 42
I did I got 42 .
:(
Look at image to see question
Answer:
Does the answer help you
A clock rotated from 12 to 6 this is
Answer:
one half
Step-by-step explanation:
Because the rotation from 12 to 6 is one-half of a complete rotation, it seems reasonable to assume that the hour hand is moving continuously and has therefore moved one-half of the distance between the 2 and the 3. source- ck12.org
Heeeellllllppppp?????
9514 1404 393
Answer:
-1
Step-by-step explanation:
We notice that we want term a1 and have terms a17 and a33. These terms (every 16-th term) form an arithmetic sequence. The middle term (a17) is the average of the other two, so we have ...
a17 = (a1 +a33)/2
2a17 -a33 = a1 = 2(10) -21 = -1
a1 = -1
_____
Additional comment
You could go to the trouble to find the general term of the sequence.
an = a1 +d(n -1)
a17 = a1 + d(17 -1) = 10
a33 = a1 + d(33 -1) = 21
Subtracting the first equation from the second, we have ...
16d1 = 11
d1 = 11/16
Using the first equation, we find ...
a1 +(11/16)(17 -1) = 10
a1 = 10 -11 = -1 . . . . same as above.
1) Sử dụng phương pháp diện tích chứng minh định lí Pitago: “Trong một tam giác vuông, bình phương cạnh huyền bằng tổng bình phương hai cạnh góc vuông”.
2) Chứng minh rằng tứ giác có một và chỉ một đường nối trung điểm hai cạnh đối chia tứ giác thành hai phần có cùng diện tích là hình thang.
Answer:
hmm i thought abt it and i think the answer is no
Step-by-step explanation:
Find f (3) for the following function:
f (x) = 4x+3/x^2
Answer: [tex]12.333[/tex] or [tex]12\frac{1}{3}[/tex] or [tex]\frac{37}{3}[/tex]
Step-by-step explanation:
Replace every x with (3)
[tex]f(x) = 4x+3/x^2\\f(3) = 4(3)+3/3^2\\f(3) = 12+3/9\\f(3) = 12.333 or 12\frac{3}{9}or \frac{111}{9}\\f(3) = 12.333 or 12\frac{1}{3} or \frac{37}{3}[/tex]
I have this question on an assignment and my calculator won't show the horizontal asymptote correctly can I get some help here?
What's the question? I can try and help..
what is the simple definition of realnumbers
Answer:
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity that can be represented as an infinite decimal expansion).
Examining and Interpreting a Statistical Report
To help make his case to potential investors in his invention, Martin found a poll conducted by Gallup, a well-known research organization. Take some time to read the report, and then answer the questions to analyze the merits and limitations of this survey.
Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?
The Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results due to they wanted to identify the habits about the use of cash in the different stages of a person's life, differentiated by ranges of unequal age.
Application of statistics in the collection of information.
Although the most common case when preparing a frequency table is to develop equal ranges that allow the behavior of the respondents to be identified every certain number of possible values.
Example:
0.1 - 10 10.1 - 20 20.1 - 30
On some occasions, irregular or uneven ranges are used that refer to a specific market stage or niche.
In part A of the exercise, you can clearly identify the three stages of adult life that could change your money-use habits:
23 - 34: Group that could be called "young adults", possibly made up of university students, and people who recently started their work stage. 35 - 54: Group of "middle-aged people", made up of people who have been working and managing their finances for a long time, even those who are even close to retirement. 55 or more: People of the "third age" or close to said category, made up of pre-pensioners and pensioners or people who are no longer active in employment.
As you can see, each of these groups present great differences that, from the point of view of a person interested in investing in their invention, a poll report like this is more attractive to select the niche of potential investors based on the work stage of said person.
By this reason, The Gallup organization chose the age intervals due to their money-habits, depending on the stage of his/her life.
If you want to see another example about poll reports, you can use the next link: https://brainly.com/question/15223266?referrer=searchResults
Greatest to least just need some help will help ty(please don’t give wrong answer)
Answer:
try 91.78, 91.58, 91.26, 363.4
Step-by-step explanation:
PLEASE HELP
If a = -1, b = 2.5, and c = 3, then evaluate a+2[c^(2)-(b+c)].
Answer:
6
Step-by-step explanation:
Let a = -1, b = 2.5, and c = 3.
-1 + 2(3² - (2.5 + 3))
-1 + 2(9 - 5.5)
-1 + 2(3.5)
-1 + 7
6
Pls help and thanks
Answer:
A. -10
Step-by-step explanation:
Hi there!
We are given that the equation of line m is [tex]y=\frac{1}{10}x[/tex], and we want to find the slope of the line perpendicular to m
Perpendicular lines have slopes that multiply to get the result of -1
So let's find the slope of line m
The equation is written in the form y=mx+b, where m is the slope, and b is the y intercept
As [tex]\frac{1}{10}[/tex] is in the place of where the slope should be, [tex]\frac{1}{10}[/tex] is the slope
Now find the slope of the perpendicular line with this formula:
[tex]m_1*m_2=-1[/tex]
[tex]m_1=\frac{1}{10}[/tex]
In that case,
[tex]\frac{1}{10}*m_2=-1[/tex]
Multiply both sides by 10
[tex]m_2=-10[/tex]
So the slope of the perpendicular line is -10, or A
Hope this helps!
Is Statistics mathematics or science? Defend your answer.
Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.
• It is mostly used to find the census, which is maths.
• It is used to find interest rates and other banking terms using statistics, which is again related to math.
• It is also used to find the average people living in a village or panchayat, which is also math.
Therefore I strongly believe that Statistics is Maths.
Thank You!
