From 4 to 5, we add [tex]0!=1.[/tex] From 5 to 6, we add [tex]1!=1.[/tex] 6 to 8, we add [tex]2!=2.[/tex] 8 to 14, we add [tex]3!=6.[/tex] 14 to 38, we add [tex]4!=24.[/tex] Thus, the next term of the sequence is [tex]38+5!=38+120=\boxed{158}.[/tex]
The next term of the sequence 4,5,6,8,14,38 is 158.
What is a sequence?It is a type of series which follows a certain pattern. It can be a pattern of addition, subtraction, multiplication and division.
How to form a sequence?We have been given the following sequence:
4,5,6,8,14,38,..... and we have to find the next term of the sequence.
We can observe that from 4 to 5 we add 0!=1
From 5 to 6 we add 1!=1
From 6 to 8 we add 2!=2
From 8 to 14 we add 3!=6
From 14 to 38 we add 4!=24.
So in next term we have to add 5!=120
Hence the next term will be=38+120=158.
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Find the Surface Area of the Square Pyramid
Step 1:
Step 2:
Step 3:
Step 4: *
(20 Points)
Step-by-step explanation:
Step 1: Set up the formula for the surface area of a regular pyramid.
SA = [tex]\frac{p*h}{2} + B[/tex]
where :
SA equals the total surface area of the pyramid, p equals the perimeter of the base, h equals the slant height of the pyramidB equals the area of the base.Step 2: Plug the perimeter of the base into the formula
you can calculate the perimeter by multiplying the length of one edge by the number of edges.
Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)
Step 4: find the area of the base (depend on the shape of the base)
Hope it will find you well.
A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the nearest thousand.
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;
[tex]A = P(1+r)^t[/tex]
Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;
[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]
Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Answer:
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 3400
r = 5% = 5/100 = 0.05
t = 17 years
Therefore
y = 3400(1 + 0.05)^17
y = 3400(1.05)^17
y = 3400 × 2.2920183178
y = 7800 to the nearest thousand
Will Give Brainliest!!!! On Time Limit Hurry Please Wrong answer will be deleted!!
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}
Answer:
x = - 12, x = 2
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
HOPE THIS HELPS
Answer:
x = 2 , − 12
Step-by-step explanation:
Use the formula ( b /2 ) (^)2 in order to create a new term. Solve for x by using this term to complete the square.
What is the value of x in the figure? Enter your answer in the box.
Answer:
x = 65
Step-by-step explanation:
2x + 15 and 145 are vertical angles and congruent, thus
2x + 15 = 145 ( subtract 15 from both sides )
2x = 130 ( divide both sides by 2 )
x = 65
Answer:65
Step-by-step explanation:
2x+15=145. Because opposite angles are equal
2x+15=145
Collect like terms
2x=145-15
2x=130
Divide both sides by 2
2x/2=130/2
x=65
pls help pls its hard ....
Answer:
(1,5)
Step-by-step explanation:
plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.
Answer: if you need help ask
Step-by-step explanation:
First you start by finding a problem
Next you ask someone to help you with the problem, simple :)
There are 8 carrots. Four friends take 2 carrots each. What fraction of the carrots
does each friend take?
Type the answer in the boxes.
Answer:
1/4
Step-by-step explanation:
8 divided by 2= 0.25=1/4
The fraction of the carrots that each friend takes will be 1/4 part.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
There are 8 carrots. Four companions take 2 carrots each.
The fraction of the carrots that each friend takes will be given as,
⇒ 2/8
Simplify the fraction, then we have
⇒ 2/8
⇒ 1/4
The small portion of the carrots that every companion takes will be 1/4 section.
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answer with work pls !!
a pool is in the shape of a rectangular prism holds 1800 cubic feet of water. the pool is 6 feet deep and 10 feet wide. what is the length of the pool in yards
Answer:
Step-by-step explanation:
length = 1800 / 6/10 = 30 ft long = 10 yard
Graph f(x) = x+1 What kind of function is it? Describe the graph.
This is a linear function with a slope of 1 and a y-intercept at one.
Answer:
Linear function
because this kind of graph use line using the slope and y-intercept or two points
slope 1
y-intercept 1
x | y
0 | 1
1 | 2
Which is the largest amount of liquid? A. one quart
B. one cup
c. one milliliter
D. one liter
E. one pint
Answer:
one pint
Step-by-step explanation:
This is because one pint is larger than one cup, there are two cups in a pint.
One milliliter is way smaller than one liter and there are 0.473176473 liters in a pint.
Answer:
pint
Step-by-step explanation:
1 Pint is equal to 0.47317647299 liter.
Liter and Pint are the largest on there, and pint is bigger.
Hope this helps! :)
A land bridge from Asia to the Americas was made possible by which of the following?
A) archaeologists
B) the development of stone tools
C) last Ice Age
D) prehistoric people
Answer:
C, Last Ice Age
Step-by-step explanation:
A land bridge wouldn't be developed by humans. The only reasonable explanation would be the last Ice Age
A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
What is Land Bridge?A land bridge is an isthmus or wider land connection between otherwise separate areas, over which animals and plants are able to cross and colonize new lands.
A land bridge from Asia to the Americas was made possible by the last Ice Age.
During the last Ice Age, much of the Earth's water was locked up in glaciers, causing sea levels to drop and exposing a land bridge between Asia and North America.
This allowed prehistoric people to migrate from Asia to the Americas, a journey that would not have been possible without the land bridge created by the last Ice Age.
Hence, A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
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PLEASE HALP THIS IS DUE TODAY!!!!!
Abe can paint the room in 15 hours, Bea can paint 50 percent faster than Abe, and Coe can paint twice as fast as Abe. Abe begins to paint the room and works alone for the first hour and a half. Then Bea joins Abe, and they work together until half the room is painted. Then Coe joins Abe and Bea, and they work together until the entire room is painted. Find the number of minutes after Abe begins for the three of them to finish painting the room.
90 + 12/5 x 60=90 + 144 +100= 334
so 334 would be your answer
The number of minutes after Abe begins for the three of them to finish painting the room is; 344 minutes
We are told that Abe can paint the room in 15 hours.
Converting to minutes gives; 15 × 60 = 900 minutes
If the area of the room to be painted is x.
Then area painted per minute is; x/900
Now Bea paints 50% faster than Abe. Thus, rate bee can paint per minute is; 1.5x/900
Now,coe can paint twice as fast as Abe. Thus, rate coe can paint per minute is; 2x/900
Abbey works alone for the first hour and half. Thus, this is 90 minutes. Area covered by him in 90 minutes = (x/900) × 90 = x/10
Now, Bea joins Abe, and they work together until half the room is painted. Thus;x/10 + (x/900)t + (1.5x/900)t = x/2
Multiply through by 900 to get;
90x + xt + 1.5xt = 450x
Divide through by x to get;
90 + t + 1.5t = 450
2.5t = 360
t = 360/2.5
t1 = 144 minutes
Now, Coe joins Abe and Bea, and they work together until the entire room is painted. Thus;(x/900)t + (1.5x/900)t + (2x/900)t = x/2
Multiply through by 900/x to get;
t + 1.5t + 2t = 450
4.5t = 450
t = 450/4.5
t2 = 100 minutes
Thus, total time = 144 + 100
Total time = 244 minutes
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What is 25 percent of 48?
Answer:
12
Step-by-step explanation:
Divide 48 into 4 parts
Answer:
(25:100)*48=
(25*48):100=
1200:100=12
Answer=12
a reflection over the x-axis and y-axis produces the same result as what other transformation?
Answer:
A mirror
Step-by-step explanation:
thats all
A flagpole casts a shadow that is 25 feet long. A signpost near the flagpole is 3 feet tall, and it casts a shadow that is 5 feet long. How tall is the flagpole?
Answer:
The ratio of shadow should be kept, then we have: x/25 = 3/5
=> x = 25 x 3/5 = 15
=> The flagpole is tall 15 feet
Hope this helps!
:)
Answer:
15 feet
Step-by-step explanation:
Length : shadow
3 : 5
X : 25
X/25 = 3/5
X = 25 × 3/5
X = 15
Solve for x. Describe the steps taken to find the solution.
3( 4x - 3) + 8 = 2x + 10x -1
Answer:
see below
Step-by-step explanation:
3( 4x - 3) + 8 = 2x + 10x -1
Distribute
12x - 9 +8 = 2x+10x -1
Combine like terms
12x - 1 = 12x - 1
Subtract 12x from each side
12x - 1 -12x = 12x - 1-12x
-1 = -1
This is true for all values of x
x = all real numbers
Answer:
All real numbers are solutions.
Step-by-step explanation:
3 ( 4x - 3 ) +8 = 2x + 10x - 1 Example 1:
12x - 9 + 8 = 12x - 1 3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1
- 12x = -12x 3 ((4) - 3) + 8 = (2) + (10) - 1
-9 + 8 = -1 ( 12 - 9 ) + 8 = 12 - 1
-1 = -1 3 + 8 = 12 - 1
Example 2 11 = 11
3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1
3 ((24) - 3) + 8 = (12) + (60) - 1
72 - 9 + 8 = 72 - 1
72 - 1 = 72 - 1
71 = 71
Karen has a coupon for $1.52 off any
candy related item. She decides to buy
a package of 9 chocolate bars that
normally costs $10.25. If Karen uses
her coupon, what will the price per
chocolate bar be?
—
Enter
Answer:
$8.73 per package of candy bars
Step-by-step explanation:
10.25 - 1.52=
Naomi‘s fish is 40 mL long her guinea pig is 25 cm long how much longer is a guinea pig than her fish
Answer:s
Step-by-step explanation:nevermind I'm bumb
What does circumference stand for?
Answer:
Think of it as the perimeter of the circle
Answer:
the enclosing boundary of a curved geometric figure, especially a circle.
The circumference of a circle is related to one of the most important mathematical constants. This constant, pi
Step-by-step explanation:
Solve the following system of equations.
x-2y = 10
y = -6x +34
I have 9 more questions so please answer all
I have 9 more please answer all
Answer:
x = 6, y = -2
Step-by-step explanation:
x-2y = 10
y = -6x +34
Substitute the second equation into the first for y
x - 2(-6x+34) = 10
Distribute
x +12x - 68 = 10
Combine like terms
13x -68 = 10
Add 68 to each side
13x - 68+68 = 10+68
13x = 78
Divide each side by 13
13x/13 = 78/13
x = 6
Now find y
y = -6x+34
y = -6(6)+34
y = -36+34
=-2
Answer:
x = 6 y = -2
Step-by-step explanation:
x-2y = 10
x = 10 + 2y
y = -6x +34
y = -6(10 + 2y) + 34
y = -60 - 12y + 34
13y = -26
y = -2
x = 10 + 2(-2)
x = 10 - 4
x = 6
WIll give brainliest help!!!
Answer:
d
Step-by-step explanation:
Answer:
C. 35
Step-by-step explanation:
7/40=x/200
200/40 x 7=35
Please answer quickly!
Answer:
D.
t <= 4.
Step-by-step explanation:
15 + 3/2 t <= 21
3/2 t <= 6
t <= 6 * 2/3
t <= 4.
hi does anyone know the answer
Answer:
153.938040026...
Step-by-step explanation:
Remember Apple Pies R 2
A=π*r²
Remember Cherry Pie Delicious
C=π*d
Answer:
Area = 49 π cm²
Step-by-step explanation:
Radius = Diameter / 2 = 14 / 2 = 7 cm
Area = π r ²
Area = π (7)²
Area = 49 π cm²
What is the value of |–2|?
A- 1
B- –2
C- 0
D- 2
Answer:
D) 2
Step-by-step explanation:
Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.
Please send help I really need your help
Answer:
#4: 4 hits
Step-by-step explanation:
At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.
Answer:
the answer for number four is four and number five is 39
I am not sure about number 5 plz check somebody.
Step-by-step explanation:
How many smiley faces should Shawn draw next to Patrick's name?
A)
1
B)
2
C)
4
D)
8
NEED HELP IM ON A TIMED TEST
The face of this spinner is divided into twelfths. If the spinner is spun twice, what is the probability that the arrow will stop on blue both times? Write the answer as a reduced fraction
Answer:
3/12
Step-by-step explanation:
because because blue is on the spin wheel 3 out of 12 times and 3 is as reduced fraction as you could get because it's odd
Help pleaseeeeeeeeeeeeee
Theoretically, on a number cube, each side has an equal chance. There are 6 sides, and 2 is one of the sides, so then you subtract 1/6, which would leave you with 5/6.
D. 5/6
PLEASE HELP!!!!!!!!! Braniest!!!!!!!!!!!!!!!!!!!!!
Answer:
ac
Step-by-step explanation: because the line ac is going directly through the square
Answer:
AC or A
Step-by-step explanation:
If you follow the letters it'll show you its AC
10) A spinner has an equal chance of landing
on each of its four numbered regions. You
spin twice. The first spin lands in region
one and the second spin lands in region
one.
Are the events independent or dependent?
What is the probability?
Answer:
independent and 1/16
Step-by-step explanation:
independent because you are not getting it you are just spinning.
1/4 times 1/4
i may be wrong on this
