Answer:
1st sequence is F
2nd sequence is B
3rd sequence is G
4th sequence is A
5th sequence is D
6th sequence is E
7th sequence is C
Step-by-step explanation:
A) 1600*0.25= 400- the first term of the sequence
1600*0.25^2= 100- the second term
so it is 4th sequence
B) y=800* (1/2)^x
The first term is 800*1/2=400
The second term is 800*(1/2)^2= 800*1/4=200
the 2nd sequence
C) y= 2/5*5^x
The first term is y=0.4*5=2
The second term is y= 0.4*5^2=10
7th sequence
D) y=1/5* 5^x
The first term is y=1/5*5=1
The second term is y= 1/5 *5*5=5
The 5th sequence
E) y=2000*(1/2)^x
The first term of 2000*1/2=1000
The only sequence with such the first term is 6th sequence
F) y=1/3*3^x
y= 1/3*3=1 - the first term
y= 1/3*3*3=3
1st sequence
G) y= 2*2^x
y=2*2= 4 - the first term
it is the third sequence
WORKED EXAMPLES
Try Vertical Angle Problems
ZC and Dare vertical angles.
m_C=° and mZD=(-3x +80)°
What is mZC
Enter your answer in the box.
Answer:
20
Step-by-step explanation:
Vertical angles are equal to each other
x = -3x + 80
x + 3x = 80
4x = 80 divide both sides by 4
x = 20
Evaluate 2a + c if a = 2 and c = -1
Answer:
[tex]2a + c \\ a = 2 \\ c = - 1 \\ then \: 2 \times 2 + - 1 \\ = 4 - 1 = 3 \\ thank \: you[/tex]
45.55 to 1 decimal place
Answer:
45.6
Step-by-step explanation:
45.55
We want to round to the tenths place
we look at the hundredths place
.x5 Since the number in the hundredths place is 5 or greater, we round up 1
45.55 becomes 45.6
Answer:
the answer is 45.6
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
9,583,507 to the nearest ten thousand
Answer:
9,580,000
Step-by-step explanation:
The ten thousand place is the 8
look and the thousands place which is 3
This is less than 5 so we leave the ten thousands place alone
9,583,507 becomes
9,580,000
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{9,583,507}[/tex]
[tex]\huge\textsf{= 9,600,000} \leftarrow \huge\textsf{nearest \underline{\underline{HUNDRED}} thousand}[/tex]
[tex]\huge\textsf{= 9,580,000} \leftarrow\huge\textsf{nearest \underline{\underline{TEN}} thousand}[/tex]
[tex]\large\textsf{83 is rounded to 80 because it is closer to 80 than 90. 3 is closer to}\\\large\textsf{0 than 10}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 9,580,000}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Andrew is an avid archer. He launches an arrow that takes a parabolic path.
The equation of the height of the arrow with respect to time is
y = -4.9x2 + 48x, where y is the height of the arrow in meters above
Andrew's bow and x is the time in seconds since Andrew shot the arrow.
Find how long it takes the arrow to come back to a height even with his bow
height.
Answer:
9.7959 sec
Step-by-step explanation:
For the arrow to reach the same height as the bow again, - 4.9x^2+48x=0, 48=4.9x, x=48/4.9=9.7959
The time arrow take to come back to a height even with his bow height is 9.79 seconds.
We have an equation of the height of the arrow with respect to time -[tex]y = -4.9x^{2} +48x[/tex] where y is the height of the arrow in meters above Andrew's bow and x is the time in seconds since Andrew shot the arrow.
We have to find out - how long it takes the arrow to come back to a height even with his bow height.
The motion of arrow in the above situation is an example of which type of motion?It is an example of two - dimensional Projectile motion.
We have the function that depicts the variation of height of the arrow with respect to time given by -
[tex]y=-4.9x^{2} +48x[/tex]
To find the time taken by the arrow to come to a height even with his bow height, we should equate y = 0.
[tex]y=-4.9x^{2} +48x=0\\-4.9x(x-9.79)=0\\-4.9x=0\;\;\;and\;\;\;x-9.79=0\\x =0\;\;\;and\;\;\;x=9.79[/tex]
Time cannot be 0, hence the time arrow take to come back to a height even with his bow height is 9.79 seconds.
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15x + 45 = 15 (3 + x) always never one solution how do I do it
Answer:
0
Step-by-step explanation:
First, you need to try to get rid of the ().
To do this:
15 * 3 and 15 * x
This makes 45 and 15x after the = , so the formula is now:
15x + 45 = 45 + 15x
Now get the 15x to the left side. When a number switches sides, it becomes negative when positive and positive when negative. So in this case 15x will become -15x and the 45(on the left) becomes - 45
15x - 15x = 45 - 45
Answer: 0
Find the value of x for which the lines a and bare parallel.
Answer:
B
Step-by-step explanation:
The two angles are alternate interior angles. The have to be equal.
7x + 15 = 148 Subtract 15 from both sides
7x = 148 - 15
7x = 133 Divide by 7
x = 133/7
x = 19
B
what is an equation in point-slope form of the line that passes through (-5,-3) and has a slope of negative 1
Answer:
Y= -x-8
Step-by-step explanation:
Hope this helps
Answer:
y + 3 = - (x + 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b ) = (- 5, - 3 ) , then
y - (- 3) = - 1 (x - (- 5) ) , that is
y + 3 = - (x + 5)
4 less than the product of 6 and the number
Answer:
6x - 4
Step-by-step explanation:
4 less than 6 times x
6x - 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2
alright I can help!
so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.
3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)
now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a
so now we just plug in our variables.
x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3
x= (-2+-8)/6
now we just seperate the equations so that we have the two roots. and then just solve!
x= (-2-8)/6 -> x= -5/3
x= (-2+8)/6 -> x=1
hope this helps! best wishes and best of luck!!
If a store sells pencils at 12 for $1.09, how many pencils can you buy for $3.50?
THIS IS A PROPORTIONS QUESTION
12 pencils = $1.09
x pencils = $3.50
So 1.09 times what is equal to 3.50
HOPE IT MAKES SENCE!!
20 The nth term of an arithmetic series is Un where un > 0 for all n.
The sum to n terms of the series is Sn
Given that u4 = 6 and that S11 = (u6)2 + 18
Find the value of u20
Answer:
Hi,
[tex]u_{20}=30[/tex]
Step-by-step explanation:
[tex]u_n=u_1+(n-1)*r, \ r= commun\ ratio.\\u_4=u_1+3*r=6\\u_6=u_1+5r\\(u_6)^2=u_1^2+10ru_1+25r^2\\s_n=u_1+u_1+r+u_1+2r+...+u_1+10r=11*u_1+55r\\s_{11}=(u_6)^2+18\ \\\Longrightarrow\ u_1^2+10ru_1+25r^2+18=11u_1+55r\\\Longrightarrow\ 4r^2+2r-12=0\\\Longrightarrow\ 2r^2+r-6=0\\r=\dfrac{3}{2} \ or\ r=-2\ (excluded)\\\\u_1=6-3r=\dfrac{3}{2} \\\\\\\boxed{u_{20}=u_1+19*r=30}\\[/tex]
The value of the 20th term of the arithmetic series will be 30
What is arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Un = u₁+(n-1) x r
u₄ = u₁ +(3 x r)=6
u₆ = u₁ +5r
u₆²=u₁²+10ru₁+25r²+18=11u₁+55r
Sn= u₁+u₁+r+u₁+2r+.............u₁+10r= (11 x u₁) +55 r
4r²+2r-12=0
2r²+r-6=0
r=3/2
u₁=6-3r=3/2
u₂₀=u₁+(19 x r)= 30
Hence the value of the 20th term of the arithmetic series will be 30
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find square. root of 85849.
Answer:
293
Step-by-step explanation:
✓85849=. 85849^1/2
= 293
A bus has velocity 20m/s towards east and another bus has velocity 15m/s in West direction.If they start to move from a point simultaneously.What distances do they covered in 2 minutes.
Answer:
4,200 m or 4.2 km.
First bus: 2400 m
2nd bus: 1800 m.
Step-by-step explanation:
Their combines speed is 20+15 = 35m/s.
Distance = speed * time
2 minutes = 120 seconds so
D = 35 * 120
= 4200 m.
Splitting the distances:
The first bus covers 20 * 120 = 2400m
The second bus covers 15*120 = 1800m.
Answer:
4200m
Step-by-step explanation:
If two objects A and B are moving in the opposite direction with speed xm/s and ym/s respectively,then;
Relative speed =(x+y)m/s
: Relative speed = 20+15=35m/s
time =2min=160sec
DISTANCE=SPEED ×TIME
D=35×120=4200
4200m
How many feet did Courtney walk at the park if she loves walked 2.4 miles
Answer:
12672 feet
Step-by-step explanation:
1 mile=5280 feet
2.4 miles=5280*2.4=12672 feet
Answer:
Awnser: 12,672 feet
Step-by-step explanation:
1 mile is 5280 feet
2 miles is 10560 feet
.4 miles is 2112 feet
10560+2112 = 12,672 feet
Write an equation of the graph (shown below) in slope intercept form.
Answer:
Step-by-step explanation:
Okay! so first, let's specify the components of a slope intercept form equation.
We got y=mx+b as a general formula, where m is slope and b is the y intercept.
The graph gives us two points on the line at (0, 5) and (-6, 7)
To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
Plugging in the points into the equation, we get 2/-6, or -1/3
we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.
The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.
y=mx+b
y=-1/3x+5
How do I write a verbal expression for each algebraic expression?
23f
Answer:
Twenty three times f
Step-by-step explanation:
The Hernandez family is evenly splitting 7 liters of gasoline between their 4 cars.
How many liters of gasoline should each car get?
(In fractions)
Answer:
Each car should get 1.7, 17/10 or 1 7/10
Step-by-step explanation:
Answer:
[tex]1\frac{3}{4} \ liters[/tex]
Step-by-step explanation:
7 liters of gasoline is shared between 4 cars. So 7÷ 4
[tex]\frac{7}{4}=1\frac{3}{4} \ liters[/tex]
You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equation b=95+(10+9)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
There will be $220 in the account after ___ weeks
Answer:
7 weeks
Step-by-step explanation:
b=95+(10+9)w
Combine like terms
b=95+(19)w
Let b = 220
220 = 95 + 19w
Subtract 95 from each side
220-95 = 19w
125 = 19w
Divide each side by 19
125/19 = w
6.578947368
Round up
After 7 week
Write the equation of the line that is perpendicular to y = 2x + 17 and contains the point (8-1).
Answer:
y= -1/2x + 3
Step-by-step explanation:
A line that would be perpendicular to y=2x+17, means that the line has a negative reciprocal slope. So because the slope is 2 in the original equation, -1/2 would be the slope of the new line
so now, plug in the point (8, -1) into the point-slope formula
y-y1=m(x-x1)
y1= -1
x1= 8
m= -1/2
So,
y- -1= -1/2(x-8)
y+1=-1/2x + 4
Subtract 1 from both sides
y=-1/2x+3
Find the height of the room 15m long amd 10 m wide . The area of whose floor and ceiling together is equal to the area of 4 walls
Answer:
first
you
do15 multiply 10 =150 then divide by 4 walls with 150 =37.5 then mutiply with 4
How can you create a transformation by using other combination of transformations
factor 36x + 18 + 12y using GCF HURRY!!!!
Answer:
6x + 3 + 2y
Step-by-step explanation:
The GCF is 6 as thats the largest factor, so you divide the numbers by 6.
6x + 3 + 2y
Algebra 1 need help ASAP
This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
From the graph given, we can see that the line touches the x-axis at (9, 0). Hence the x-intercept of the line is at (9, 0).
Since x represents gallons of milk and y represents the packages of toilet paper, therefore from the coordinate x = 9 and y = 0. This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper
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In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.
Answer:
please translate to English for fast response
Answer:
∡AEF=45°
Step-by-step explanation:
AB=CD ⇒
arcele AB=AC (la coarde egale corespund arce egale)⇒
arc(AB)+arc(BC) = arc(BC)+arc(BD) (descompunerea arcelor AB si AC)⇒
arc(AC)=arc(BD) ⇒
∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒
ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒
[EA]≡[ED], dar si [OA]≡[OD] (OA si OD raze ale cercului)⇒
EO e mediatoarea [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒
[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒
∡AEF=45°
PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
Answer:
2/3
Step-by-step explanation:
The graph point is on (3,2)
Find the volume of this cone.
Use 3 for T.
12ft
12
5ft
V = Tr?
V [?]ft3
V
Answer:
V = 180 ft^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h where r is the radius and h is the height
The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6
The height is 5 and we are using 3 for pi
V = 1/3 (3) *6^2 *5
V = 180 ft^3
Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
the answer is in the photo
Answer:
2/5
Step-by-step explanation:
[tex] - 2\frac{4}{5} \div ( - 7)[/tex]
[tex] = \frac{2 \times 5 + 4}{5} [/tex]
[tex] = \frac{10 + 4}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = - \frac{14}{5} \times 7[/tex]
[tex] = \frac{14}{5} \div 7[/tex]
[tex] = \frac{2}{5} [/tex]
15 over r when r = 5
Answer:
15 over r when r. so 15-5 : 10
Which of the following planets has the strongest winds in the solar system?
O Jupiter
O Mars
O Neptune
O Venus
Answer: The answer is Neptune ^-^
Step-by-step explanation:
Got it correct on the test :]
