Use inductive reasoning to predict the most probable next number in the list. 1, 4, 9, 16, 25, ?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

Starting with 4, 9.

9 - 4 = 5 then + 2

So forward.

Answer 2

Answer:

1, 4, 9, 16, 25, 36

Step-by-step explanation:

This is because as you see 1 + 3 = 4, then 4 + 5 = 9, then 9 + 7 = 16. So we see that it goes like 3 + 5 + 7 + 9 + 11 + 13  . . .  That is the pattern. Hope this helps!


Related Questions

Please, I need help! a positive integer is subtracted from its square. The sum is 56. Write and solve a quadratic equation to find the number. Thank you!

Answers

Answer:

8

Step-by-step explanation:

x² − x = 56

x² − x − 56 = 0

(x − 8) (x + 7) = 0

x = -7 or 8

x is positive, so x = 8.

B. You are given nine stones which look and feel identical. One of them contains a valuable gem worth $250,000 and is actually slightly heavier than the other eight (but not enough to detect by lifting by hand). If you identify the gemstone it is yours to keep. You have a balance scale, (see diagram) which you can use exactly two times. Once you have used the scale twice you never get another opportunity. How can you be certain to find the stone contains the gem. (If you guess at any point you lose your chance to win the gem stone.)​

Answers

Answer:

Separate the stones into 3 groups of 3.

Let's call each the three groups A, B, and C.

1) Place group A and group B on the two plates of the scale. There are two possible outcomes i) and ii) below:

i) The groups have different weights. A is heavier than B or B is heavier than A. Take the heavier group. Place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.

ii) Groups A and B have equal weights. The heavier stone in in group C. Using group C, place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.

Ashley works in accountant’s office and makes $45 per hour. She must pay $40 for daycare each day. If she wants to make more than $300 a day, at

Answers

Answer:

The answer is "8 hours"

Step-by-step explanation:

by the given value we create the equation that is:

 [tex]\to 45x-40=300\\\\\to 45x=300+40\\\\\to 45x=340\\\\\to x=\frac{340}{45}\\\\\to x= 7.55\ \ hours \ or \ \ \ 8 \ hours[/tex]

what set has a fixed number of elements

Answers

Answer:

Finite Set

Step-by-step explanation:

A finite set is a set that contains a fixed number of elements, that is, the elements are countable. However, the opposite of a finite set is an infinite set which does not have a fixed number of elements and is uncountable.

Examples of a finite set are

The set of all past American PresidentsThe set of all persons in ChinaThe set of birds in Australia

a

equation
Be sure that your last entry is the solution to the equation
and in simplest form.
You do not need to use all rows of the table.
10x + 8 = 4x + (-4)
Enter equivalent equations below

Answers

Answer:

10x+8=4x+(-4).

10×+8=4x-4.

collect like terms.

10x-4x=-4-8.

6x=-12.

x=-12/6.

x=-2.

-7 times -8? -40 divided by 10?

Answers

-7 times -8 is 56 and -40 divided by 10 is -4

Find the sum.
19+(-19)

Answers

19+(-19)=0

Step-by-step explanation:

So first lets simplify this. We can use the method keep,change, change to do this. Keep the value of positive 19. Then change the + sign to - and the - sign to plus which gets us

19-(+19).

We can remove the +since we know its positive leaving 19-19 which is 0

7. Compare the value of the 5 in 85,327 and 435.

Answers

Answer:

5 in the 85327= five thousand units

5 in the 435= five units

Step-by-step explanation:

85,327= eighty five thousand, three hundred and twenty seven

Value of five or the position if five in the above number is the thousand position

5 in the above = five thousand unit

435= four hundred and thirty five

The position of five in the above number is the unit position

Five in the above= five unit

5. Topic 1 Independent Practice
Use the following set to answer the question.
{ (-2,1), (-1,0), (0,1), (1,2)}
True or false, this set is a function?
O True
O False


Plisss

Answers

Answer:

True

Step-by-step explanation:

This set is a function because every input value only has one output value.

Find the missing angle

Answers

Answer:

47 degrees

Step-by-step explanation:

shown by the square this angel is 90 degrees. 90 - 43  = 47

Answer:

47

Step-by-step explanation:

Therefore

90-43=41

The total cost after tax to repair Deborah's computer is represented by0.08(50h)+50H, where h is the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax she has to pay? Explain

Answers

Answer:

.08(50h) Because if the tax rate is 8%, then that is 1.08% of 50h.

Step-by-step explanation:

Simplify the expression: 2(5 + 7c) need help ​

Answers

Answer:

10+14c

Step-by-step explanation:

You multiply every number inside the parenthesis by 2.

Answer:

10+14c

Step-by-step explanation:

Multiply two times what is in parentheses.

10+14c

Suppose $x$ and $y$ are integers such that $xy+5x+4y=-5$. Find the greatest possible value of $y$.

Answers

Answer:

10

Step-by-step explanation:

xy + 5x + 4y = -5

(x + 4) y + 5x = -5

(x + 4) y = -5x − 5

y = -5 (x + 1) / (x + 4)

For y to be large as possible, (x + 1) / (x + 4) must be negative.  That means -4 < x < -1.  So x is either -2 or -3.

The possible values of y are:

y = -5 (-2 + 1) / (-2 + 4) = 5/2 (not an integer).

y = -5 (-3 + 1) / (-3 + 4) = 10.

Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a width 4 inches greater than its height

Answers

Answer: h(h-3)(h+4)  

Step-by-step explanation:

To find the volume of rectangular-shaped box  we will have to multiply the length by the width by the height.

Given the statements  we can determine the  length with the equation

L = h -3  where l is the length and h is the height.

the width can also be represent by the equation

w = h + 4        

The height is is h and the length is h- 3  and the width is also h+4  so the expression will be    h(h-3)(h+4)

Some populations, such as bacteria, can be expected under the right conditions to show exponential growth. If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours
we expect to find 5500 x 1.07^t bacteria present. How many bacteria would we expect to find after 14 hours? (Round your answer to the nearest whole number.)

How many after 3 days?

Answers

Answer:

608945 is the answer.

Step-by-step explanation:

Because..

After 14 hours the population of bacteria is 14190.

What is Exponential Decay?

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

Given that Some populations, such as bacteria, can be expected under the right conditions to show exponential growth

If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours we expect to find [tex]5500(1.07)^{t}[/tex] bacteria present.

We need to find how many bacteria would we expect to find after 14 hours

To find this we have to replace t by 14

5500×(1.07)¹⁴

5500×2.58

14190

Hence, after 14 hours the population of bacteria is 14190.

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A pianist plans to play 7 pieces at a recital. In how many ways can she arrange these pieces in the program?

Answers

Answer:

5040

Step-by-step explanation:

7 x 6 x 5 x 4 x 3 x 2 = 5040 different ways. Look at it this way: The first place can be taken by any of the 7 objects, which leaves any of 6 objects available for second place, which leaves any of 5 objects that then leaves 4 then 3 then 2 then 1

HOPE THIS HELPS

Solve the inequality.

The solution is.... ​

Answers

Answer:

Step-by-step explanation:

-x - 6 > 21 - 28x

27x - 6 > 21

27x > 27

x > 1

4.
1
Solve for m in the following equation: 7m +
2 = 24.

Solve for m in the following equation 4/7m + 1/4n =24

Answers

1. m=22/7

2. m=672/23

7m+2=24

7m=24-2

7m=22

m=22/7

What is the value of f(2)?

Answers

Question:

What is the equation?


Vertical Stretch of 2, up 12, left 7!!! :)

Answers

Im guessing this is for a parabola and the answer should be:
f(x)= 2(x+7)^2+12

Let A and B be n-by-n matrices in R^n, and let c be a real number. Which of the following statements about trace is not necessarily true? a. tr(A+B) = tr(A) + tr(B) b. tr(AB) = tr(BA) c. tr(AB) = tr(A)tr(B) d. tr(CA) = ctr(A)

Answers

Answer:

c. tr(AB) = tr(A)tr(B)

Step-by-step explanation:

The trace of a matrix is only valid for a square matrix, that is a n by n matrix. The trace of a matrix is the sum of all its diagonal elements. The following properties of trace holds for a matrix A and B with size n by n and a real number c.

i) The trace sum of two matrix is equal to the sum of their individual traces. That is:

tr(A + B) = tr(A) + tr(B)

ii) The trace of the product of a scalar and a matrix is the same as the product of the scalar and the trace of the product, that is:

tr(cA) = ctr(A)

iii) The trace of a transpose of a matrix is equal to the trace of the matrix, that is:

[tex]tr(A^T)=tr(A)[/tex]

iv) The trace of a product of matrix is given as:

tr(AB) = tr(BA)

Answer:

c. tr(AB) = tr(A)tr(B)

Rachel tells Jonah that she can turn a square, but he won’t be able to tell that it was turned after she is finished turning it.




Please help with this question

Answers

ANSWER: it’s a square. All sides will look the same after turning because all sides LOOK THE SAME lol.

SI units are the modern form of the:
a- geological system of measurement
b-metric system of measurement
c-US customary system of measurement
d-imperial units of measurement

Answers

Answer:

Step-by-step explanation:

SI units are the modern form of the metric system of measurement

The SI units are metric system of measurement

What is International System of Units?

The International System of Units comprises a coherent system of units of measurement starting with seven base units. The units and their physical quantities are the second for time, the meter (sometimes spelled meter) for length or distance, the kilogram for mass, the ampere for electric current, the kelvin for thermodynamic temperature, the mole for amount of substance, and the candela for luminous intensity. It is represented as SI

Given data ,

Let the units of measurements be represented as A

Now , the value of A is

Seven base units - the second (symbol s, the unit of time), the metre (m, the unit of length), the kilogramme (kg, the unit of mass), the ampere (A, the unit of electric current), the kelvin (K, the unit of thermodynamic temperature), the mole (mol, the unit of substance amount), and the candela make up the SI's coherent system of units of measurement (cd, luminous intensity)

Therefore , the SI units are metric system of measurement

Hence , the SI units are solved

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how are T minus 4 and T plus 4 related?

Answers

Answer:

T will equal 4

Step-by-step explanation:

T-4=T-4

T+4=T+4

1
Solve: -1/2x+2=-x+7

Answers

The correct should be X=10

Answer:

x=10

Step-by-step explanation:

Step 1: Add x to both sides

Step 2: Subtract 2 from both sides.

Step 3: Multiply both sides by 2.

WILL MARK BRAINLIST please help! Im stuck

Answers

Answer:

width = 5k²

length = 3k² + 7k + 4

Step-by-step explanation:

(see attached)

the point-slope form of the equation that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x-12). what is the standard form of the equation for this line?
A) x-4y=8
B) x-4y=2
C) 4x-y=8
D) 4x-y=2

Answers

Answer:

A

Step-by-step explanation:

So we know that the point-slope form of the line that passes through the points (-4,-3) and (12,1) is:

[tex]y-1=\frac{1}{4}(x-12)[/tex]

And we want to convert this to standard form.

The standard form of a linear equation is:

[tex]Ax+By=C[/tex]

Where A, B, and C are integers, and, traditionally, A is positive.

So, first, multiply everything by 4 to remove the negative:

[tex]4(y-1)=4(\frac{1}{4}(x-12))[/tex]

Distribute the left. The right cancels:

[tex]4y-4=x-12[/tex]

Add 4 to both sides. The left cancels:

[tex]4y=x-8[/tex]

Subtract x from both sides:

[tex]-x+4y=-8[/tex]

As I mentioned previously, the coefficient of A tends to be positive. So, divide everything by -1:

[tex](-x+4y)/-1=(-8)/-1[/tex]

Simplify:

[tex]x-4y=8[/tex]

So, our answer is A

And we're done!

37 points! Need this asap

Answers

Answer:

a.  Point E

b  Line AB

Step-by-step explanation:

The lines AB and CD will intersect at a point

The Point is Point E

Planes will intersect at a line

Planes X and Plane Y intersect at line AB

Answer:

a.  point E

b.  points A and B ( which is line AB )

Step-by-step explanation:

a.  the intersection of AB and CD = point E

b.  the intersection of plane X and Y = points A and B ( which is line AB )

How many square feet is 75,480 square centimeters? (Round to the nearest tenth) *

Answers

Answer:

70123214.6cm^2

Step-by-step explanation:

If after two hours 4 Inches off snow has fallen how many inches would have fallen after 6.6 hours

Answers

13.2 inches, you divide 4 inches by 2 hours and get 2 inches in 1 hour, then multiply 6.6 by 2
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