Answers
By inductive reasoning we can say that the conclusion is based on observing the four numbers in the sequence.
How to use Inductive Reasoning?
We are given the arithmetic series as;
5, 10, 15, 20, .......
From the formula of the nth term of an arithmetic series, we know that;
a_n = a + (n - 1)d
where;
a is first term
n is position of term
d is common difference
Thus, for this series, it is clear that the common difference is 5. Thus the fifth term is;
a_5 = 5 + (5 - 1)5
a_5 = 5 + 20
a_5 = 25
Thus, by inductive reasoning we can say that the conclusion is based on observing the four numbers in the sequence.
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Related Questions
Joseline has 347 marbles. Ever has 4 times as many as Joseline. Pablo has 799 fewer than Ever. How many marbles does Pablo have? Joseline tiene 347 canicas. Ever tiene 4 veces más que Joseline. Pablo tiene 799 menos que nunca. ¿Cuántas canicas tiene Pablo?
Answers
Answer:
its D
Step-by-step explanation:
A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm
Answers
Answer:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Step-by-step explanation:
We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
What is 22% of 150?
NEED FULL EXPLANATION pls
Answers
Answer:
Important note: "of" means to multiply!
22% of 150 is 33
Step-by-step explanation:
\(Y = P\% \times X\\Y = 22\% \times 150\\P = 22\%\div100 = 0.22\\Y = 0.22 \times 150\\Y = 33\)
Hope this helps!
Given a feedlot of about 2500 cows, if an individual cow produces about 40 liters of manure per day, how many kiloliters of manure would be produced in one month?
Answers
9514 1404 393
Answer:
3000 kL
Step-by-step explanation:
(2500 cows)(40 L/day/cow)(30 day/mo)(1 kL/(1000 L)) = 2.5×40×30 kL/mo
= 3000 kL/mo
About 3000 kL of manure would be produced in one month.
___
That's about 3 cubic meters.
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answers
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
help fast please math!!!!!!!!
Answers
Hope this helps
Answer:
I am thinking 180
Step-by-step explanation:
The reason why I say this is because 180 over 12 equals to 15
Jaylin has a scale model of a train. 2 cm in the lotto represents 3 feet in a real train. The height of the model train is 10.2 cm. What is the height of the real train?
Answers
Assume the random variable x is normally distributed with mean and standard deviation . Find the indicated probability.
Answers
Complete Question
Assume the random variable x is normally distributed with mean u=87 and standard deviation o=5. Find the indicated probability.
P(x<81)
P(x<81)=__(Round to four decimal places).
Answer:
The value is \(P(x < 81) = 0.11507\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 87\)
The standard deviation is \(\sigma = 5\)
The probability is mathematically represented as
\(P(x < 81) = P (\frac{X - \mu }{\sigma } < \frac{81 - 87 }{5 } )\)
Generally \(\frac{X - \mu}{\sigma} = Z (The \ z-score \ of X )\)
\(P(x < 81) = P (Z < - 1.2)\)
From the z-table
\(P (Z < - 1.2) = 0.11507\)
So \(P(x < 81) = 0.11507\)
If Lisa were to plant six apple trees and only four of them were successful, she would have minus two apple trees. How many apple trees would Lisa have if she added fourteen more to the lasting apple trees?
Answers
Answer:
18
Step-by-step explanation:
Type the correct answer in the box. Use numbers instead of words. Use a calculator to help solve the problem. A company makes rice in packages with a mass of 142 grams. Each package costs $0.64. The company plans to make new packages. . It will label the new packages in ounces instead of grams. • Each new package will have a mass that is 20% more than the mass of the old package. • The price will increase by $0.03 per ounce. What is the cost of the new package to the nearest cent? $ Reset Submit
Answers
The cost of the new package is $0.82.
Conversion of grams to ounces.
The first step is to convert grams to ounces.
1 gram = 0.035274 ounces
142 grams x 0.035274 = 5.0 ounces
Mass of the new packageThe new package would be 20% more than the old package. The total mass of the new package in percentage terms is 120%(100 + 20%).
120% x 5 ounces = 6.01 ounces.
New price$0.64 + (0.03 x 6.01) =
$0.64 + 0.18
= $0.82
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What is the simplest form of the expression? 6x - 4y - 2x /2
Answers
The simplest form of the expression 6x - 4y - 2x / 2 is 5x - 4y.
What is Simplest form?
In mathematics, simplest form refers to the expression that has been simplified or reduced as much as possible. This means that no further simplification or reduction can be done without changing the value of the expression.
The expression 6x - 4y - 2x / 2 can be simplified using the order of operations (PEMDAS) as follows:
6x - 4y - 2x / 2
= 6x - 4y - x (since 2x / 2 = x)
= 5x - 4y
Therefore, the simplest form of the expression 6x - 4y - 2x / 2 is 5x - 4y.
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bruce spins a spinner that has 4 equal sections of blue, red, red and green. he will also roll a 6-sides number cube what is the probability that bruce will spin a red and roll an even number
Answers
Answer:
D. You were correct.
Step-by-step explanation:
The even numbers on a 6 sided dice are 2 4 6 or 3/6 which is 1/2
The spinner has 2 red sections out of 4. The probability of getting a red is 2/4 = 1/2
P(even and red) = 1/2 * 1/2 = 1/4
I don't know what the table is for.
two hikers walk on the trans-canada trail for 5.0 h and cover 42km what is there average speed for the trip
Answers
Answer:
about 8 km per hour
Step-by-step explanation:
8 kilometers every hour for 5 hours is 40 km wich is very close to 42km. hope this helps
Solve the equation below for x by graphing
3x =8_2x
Answers
The solution to the equation 3x = 8 - 2x is x = 1.6.
To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:
Express the equation in the form of y = f(x). Rearrange the equation:
3x + 2x = 8
5x = 8
x = 8/5 or 1.6
Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.
Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.
The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).
Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.
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There were 470 people at a play. The admission price was $3 for adults and $1 for children.
The admission receipts were $910. How many adults and how many children attended?
Answers
Answer:
220 adults and 250 children
Step-by-step explanation:
we require to set up 2 equations and solve simultaneously.
let a be the number of adults and c the number of children , then
a + c = 470 → (1) based on number of people
3a + c = 910 → (2) based on ticket sales
subtract (1) from (2) term by term to eliminate c
(3a - a) + (c - c) = 910 - 470
2a + 0 = 440
2a = 440 ( divide both sides by 2 )
a = 220
substitute a = 220 into (1) and solve for c
220 + c = 470 ( subtract 220 from both sides )
c = 250
that is 220 adults and 250 children attended
Find the midpoint of the line segment with the given endpoints.(7, -10), (4, -5)
Answers
Solution
For this case we have the following points:
(7, -10) and (4, -5)
We can find the midpoint with the following formula:
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{7+4}{2},\frac{-10-5}{2})=(\frac{11}{2},\frac{-15}{2})\)For the second case we have the following points:
(7, -1), (10, -9)
For the slope we can do the following:
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-9+1}{10-7}=\frac{-8}{3}\)Rounded to the nearest tenth would be:
-2.7
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
Answers
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
9. If the arc measure of MN = 87°, what is the measure of
Answers
The complete question:
If the arc measure of MN = 87°, what is the measure of angle ∠MON ?
Solution:
In the given circle, the required measure of the angle ∠MON is given as 87°.
What is an angle ?
An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Here,
For the given circle, the measure of arc MN is given in the form of an angle of 87° which consists of an angle MNO,
So the measure of the section is equal to MON i.e. ∠MON = 87°
Thus, the required measure of the angle ∠MON is given as 87°.
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PLEASE HELP!!!!
Find the greatest common factor. 5x^2a+5xa^2
Answers
The greatest common factor of the expression 5x²a + 5xa² is 5xa
How to find greatest common factor of 5x²a + 5xa²?To find the greatest common factor (GCF) of the expression 5x²a + 5xa², we need to find the greatest term that can divide into both terms in the expression.
In this case, the GCF is 5xa, as it can divide into both 5x²a and 5xa².
We can check this by dividing both terms with 5xa:
5x²a + 5xa² = (5xa)(x) + (5xa)(a) = 5xa (x + a)
Thus, the GCF of 5x²a + 5xa² is 5xa.
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The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
Answers
verified
Verified by Toppr
Median bisects the line.
D≡(
2
−3+5
,
2
−9−8
)≡(1,
2
−17
)
E≡(−
2
1+5
,
2
6−8
)≡(2,−1)
F≡(−
2
1−3
,
2
6−9
)≡(−2,
2
−3
)
∴ equation of AD:(y−y
1
)=(
x
2
−x
1
y
2
−y
1
)
AD
(x−x
1
)
⇒(y−6)=
⎝
⎜
⎜
⎛
1+1
2
−17
−6
⎠
⎟
⎟
⎞
(x+1)⇒(y−6)=−
4
29
(x+1)
⇒
4
29
x+y−6+
4
29
=0
AD⇒29x+4y+5=0
equation of BE:(y+9)=(−
2+3
1+9
)
BE
(x+3)
⇒(y+9)=
5
8
(x+3)⇒5y+45=8x+24
BE⇒8x−5y−21=0
Equation of CF:(y+8)=
⎝
⎜
⎜
⎛
−2−5
−
2
3
+8
⎠
⎟
⎟
⎞
CF
(x−5)
⇒(y+8)=−
14
13
(x−5)⇒14y+112=−13x+65
CF:13x+14y+47=0
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
no link or bot please right answer
Answers
Answer:
2^18
Step-by-step explanation:
2^2
------ * 2^8
2^-8
We know a^b * a^c = a^(b+c)
2^2 * 2^8 = 2^(2+8) = 2^10
2^10
-------
2^-8
a^b / a^c = a^(b- c)
2^(10 - -8) = 2^(10+8) = 2^18
plss help me for branleist
Answers
Answer: x=67
Step-by-step explanation:
All of the angles add up to 180 for a triangle
38 + 75 + x = 180 >combine like terms (the numbers)
113 + x = 180 >subtract 113 from both sides
x=67
Answer:
x = 67°Step-by-step explanation:
We know that,
\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)
\( \large \sf \: → x +38° + 75° = 180°\)
\( \large \sf \: → x + 113 = 180°\)
\( \large \sf→ x = 180°- 113°\)
\( \boxed{\large \bf→ x = 67° }\)
What is the answer....................................................
Answers
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
Six hundred seventy six divided by twenty eight
Answers
Answer:
676/28= 24.149
Step-by-step explanation:
263.76 to the nearest whole number
Answers
263.76 to the nearest whole number.
When rounding, you’re always going to look back a place. If the number is greater than 5, round up. If it’s less than 5, round down. And if it’s 5, round up or down, depending on the problem and your teacher’s instructions. I usually round up.
So in this case, we’re going to look at 7, the fourth number from the left. 7 is the first number after the decimal point. We’re looking at 7 because we’re rounding the number to the nearest WHOLE NUMBER. So no decimals. Now is 7 greater or less than 5? Greater! You round up.
3 becomes 4.
Your answer is 264.
Hope this helped!
Write 16,204,790 in expanded form using exponents
Answers
1 × 10 ^7 + 6 × 10 ^6 + 2 × 10 ^5 + 0 × 10 ^4 + 4 × 10 ^3 + 7 × 10 ^2
+ 9 × 10 ^1 + 0 × 10 ^0
PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?
Answers
Answer:
The probability that one marble drawn at random is not blue is 70%
3 pounds=_____grams?
Answers
Answer:
1360.777 grams
hope it's helpful for you
Answer:
1361gram
i think
sry for wrong answer
determine the product of the two polynomials using the distributive property (3x-1)(2x^2+5x-8)
Answers
6x^3+13x^2-29x+8
Let me know if you need a show of work!