The 12 out front of A(n) means we multiply 12 and A(n) to get the next term A(n+1). We do this as many times as we want to generate as many terms as we want.
We start with the first term 4
The second term is 4*12 = 48
The third term is 48*12 = 576
The fourth term is 576*12 = 6912
The first four terms are 4, 48, 576, and 6912.Put the following numbers in order from greatest to least 7 030 400, 70 000 200, 78 330, 790 300, 709 400, 70 800
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800
Step-by-step explanation:
Greatest is always the number with the most digits.
Answer:
70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800
Step-by-step explanation:
To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.
[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]
Help please!!!!!!!!!!! Due tomorrow
Answer:
x = 20
Step-by-step explanation:
Perimeter = Sum of all sides
Perimeter = (x+4)+(4x)+10x-(10)
Where Perimeter = 294 in.
294 = 15x-6
15x = 294+6
15x = 300
Dividing both sides by 15
=> x = 20
Ok so,
15x-6=your perimeter
15x-6=294
15x=300
300 divided by 15= 20
so x=20
substitute in your values and you should have an answer :)
The formula for an arithmetic series is shown below, where n = 1, 2, 3 ...
f(n + 1) = f(n) + 8
If f(1) = 5, what are the fourth, fifth, and sixth terms in the sequence?
Answer:
4th term = 28
5th term = 37
6th term = 45
Step-by-step explanation:
f(n + 1) = f(n) + 8
f(1) = 5
f(1 + 1) = f(1) + 8 = 5+8 = 13
f(2) = 13
f(2 + 1) = f(2) + 8 = 13+8 = 21
Thus, series is 5, 13, 21......
In arithmetic series
Nth term is given by
n th term = a + (n-1)d
where a is the first term
and d is the common difference.
common difference d = nth term - (n-1)th term
For this series
a = 5
lets take nth term as 2nd term and 1st term as (n-1)th term
d = 13-5 = 8
n th term = a + (n-1)d
using the formula for nth term
4th term = 5 + (4-1)8 = 29
5th term = 5 + (5-1) 8= 37
6th term = 5+ (6-1)8 = 45
Thus, 4th term = 28
5th term = 37
6th term = 45
Note this, problem can be solved using f(n + 1) = f(n) + 8 by putting n = 3,4,5 as well but for learning concept of arithmetic series, i have used above process. Hope it helps.
Which of the following is equivalent to
Answer:
d
Step-by-step explanation:
reciprocal theorem or whatever states that instead of dividing just flip and change sign to multiply
A hot air balloon holds 74,000 m3 of helium. The density of helium is 0.1785 kg/m3. What’s the mass of the helium inside the balloon when it’s full? ANSWERS: 6,529 kg 414,565 kg 740 kg 13,209 kg
Suppose that y varies directly as x. When x is 7, y is 2. Solve for y when x is 63. (Enter an exact number.)
Which statement is true?
A) |-45| = 45 and |-96| = -96.
B) -|-451 = 45 and -|-96| = -96.
C) |-45| = 45 and |-96| = -96.
D) |-45| = 45 and |-96| = 96.
The statement that is true is |-45| = 45 and |-96| = 96.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|-45| = 45
|-96| = 96
-|-45| = - 45
-|-96| = - 96
|-45| = 45
|-96| = 96
|-45| = 45
|-96| = 96
Thus,
|-45| = 45 and |-96| = 96 is true.
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Which statement is true? All quadrilaterals have at least 1 pair of parallel sides. Parallelograms have 2 pairs of congruent angles. A rhombus is a rectangle. A trapezoid is a parallelogram.
Answer:
PARALLELOGRAM have 2 pairs of congruent angles
Step-by-step explanation:
QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.
The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
What is quadrilateral?A figure enclosed by the four sides and the sum of all the angles are equal to 360.
Properties of a quadrilateral are:-
A quadrilateral has four sides (edges)
A quadrilateral has four vertices (corners)
A quadrilateral has interior angles that add to 360 degrees:
Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.
So here All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
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The graph shows the speed of Sam's car over time.
Which best describes what is happening in section C?
Speed of Car
His car is stopped.
His car is speeding up.
His car is slowing down.
His car is traveling at a constant speed.
Answer:
Its C
Step-by-step explanation:
The statement which best describes what is happening in section C is His car is slowing down.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
The graph is attached below.
There are 4 sections on the graph.
In the section A, the car is speeding up since the speed is increasing as the time increases.
In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.
In the section C, speed is decreasing with time. So the car is slowing down.
In the section D again the car travels at a constant speed.
Hence in section C, car is slowing down.
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Why is 2i * -2i equal to 4, and not -4i?
Answer:
see below
Step-by-step explanation:
2i * -2i = -4 i^2
We know that i^2 = -1
= -4 * -1
= 4
It is not equal to -4i because we need to multiply i*i which is i^2 not i
Answer:
The answer is 4 (working below), It is not [tex]-4i[/tex] because [tex]i \times i = i^2[/tex].
Step-by-step explanation:
[tex]2i \times -2i[/tex]
Multiply.
[tex]2 \times i \times -2 \times i[/tex]
[tex]-4i^2[/tex]
Apply : [tex]i^2 = -1[/tex]
[tex]-4(-1)[/tex]
[tex]=4[/tex]
Multiply the following using the vertical multiplication method:
3x2 + 5x + 1
x x2 - 2x + 4
Answer:
Step-by-step explanation:
the answer is b
The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given expression are 3x² + 5x + 1 and x² - 2x + 4
Now,
3x² + 5x + 1
× x² - 2x + 4
__________
12x²+20x+4
-6x³-10x²-2x
3x⁴+5x³+x²
_______________
3x⁴-x³+3x²+18x+4
Therefore, option B is the correct answer.
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20 POINTS AND BRAINLIEST! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. A) How many ways can we choose three states to be represented?
Answer:
A) 19,600
Step-by-step explanation:
A) How many ways can we choose three states to be represented?
To solve for the above question, we would be using the Combination formula
The combination formula is given as:
C(n , r) = nCr = n!/r! (n - r)!
Where n = 50
We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,
r = 3 ( senator committee)
nCr = n!/r! (n - r)!
50C3 = 50! / 3! (50 - 3)!
50C3 = 50! / 3! × 47!
50C3 = 19,600
Therefore, the number of ways can we choose three states to be represented is 19,600 ways.
a bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies. How many cups os oats are required per pound of cookies?
Answer: 7/5 or 1 2/5
Step-by-step explanation:
Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.
You need to find the unit price.
So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7
You need to do the same thing to 3 3/5 cups.
3 3/5 as an improper fraction is 18/5
2 4/7 as an improper fraction is 18/7
Now to divide you need to keep, change, and flip
keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18
18/5*7/18=7/5
7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies
The total number of cups of oats are required per pound of cookies is 7/5 and this can be determined by using the unitary method.
Given :
A bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies.
The following steps can be used in order to determine the total number of cups of oats are required per pound of cookies:
Step 1 - The unitary method can be used in order to determine the total number of cups of oats are required per pound of cookies.
Step 2 - According to the given data, a bakery uses 18/5 cups of oats to make 18/7 pounds of oatmeal cookies.
Step 3 - So, the total number of cups of oats are required per pound of cookies is:
[tex]=\dfrac{\dfrac{18}{5}}{\dfrac{18}{7}}[/tex]
Step 4 - Simplify the above expression.
= 7/5 cups/pound
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what is 1 1/16 rounded to the nearest half? ( need answer now please)
Answer:
1
Step-by-step explanation:
Halves:
0
0.5
1
1.5
2
1 1/16 = 1.0625
1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1
What is pm ⋅ pn equal to?
Answer:
p^2 pm pn mn
Step-by-step explanation:
Using the FOIL Method we get this result
p * p
p * n
p * m
m * n
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY HAVE 20 MINUTES
Answer:x=8 Y=-6
Step-by-step explanation:
14-2.5x=1.5x-18
+18. +18
32-2.5x=1.5x
+2.5x =2.5x
32= 4x
Divide 4 to both sides you get
8=x
Y=14-2.5(8)
Y=14-20
Y=-6
what pattern exists in each period of 356,039?
Answer:
1/1
Step-by-step explanation:
because that is it
p% of m PLEASE HELP IMMEDIATELY
Answer:
pm/ 100 is answer.
Step-by-step explanation:
here, p% of m
=p/100× m
= pm/ 100 ...is answer.
hope its what you are searching for..
Knowing that sin 30= 1/2, what is a?
Step-by-step explanation:
I hope it's correct
HAVE A GOOD DAY!
The value of a in the triangle is 10
How to solve for (a)?The sine of an angle is:
sin(angle)= opposite/hypotenuse
Using the question parameters, we have:
sin(30) = 5/a
Substitute sin(30) = 1/2
1/2 = 5/a
Cross multiply
a = 2 * 5
Evaluate
a = 10
Hence, the value of a in the triangle is 10
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Simplify square root of negative 100 . (2 points) A. −10 B. −10i C. 10i D. 10
Answer:
C. 10i
Step-by-step explanation:
I took the quiz and got a 100%
By Simplify square root of negative 100 we get the answer is C (10i).
What is simplification of an expression?
Usually, simplification involves proceeding with the pending operations in the expression.
A Simplification usually involves making the expression simple and easy to use later.
We have the expression:
√-100
Rewriting this yields:
[tex]=\sqrt{-1\cdot100}\\\\=\sqrt{-1}\cdot\sqrt{100}\\\\=i\sqrt{100}=10i[/tex]
Therefore, By Simplify square root of negative 100 we get the answer is C (10i).
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What is 4.3 as a fraction in simplest form
simplify -9/6 divided by 3/-2. A: 3 B: 1 C: -1 D: -3
Answer:
B. 1
Step-by-step explanation:
-9/6 ÷ 3/-2
Reciprocal and it becomes multiplication.
-9/6 × -2/3
Multiply the fractions.
18/18
= 1
Answer:
1 is the answerStep-by-step explanation:
-9/6/3/-2
Made the second number the reciprocal =
-9/6 / -2/3
Switch the sign to a multiplication sign =
-9/6 * -2/3
Simplify the numerator =
-9*-2 = 18
Simplify the denominator =
3*6 = 18
Place the numerator and denominator together =
18/18
Simplify the answer =
18/18 = 1
Hope this helped,
Kavitha
Explain what is the 7th term in the geometric sequence described by this explicit formula? A.-2187 B.6561 C.-6561 D.2187
Answer:
the answer is d
Step-by-step explanation:
39. Write a ratio and a percent for the shaded area.
Hey there! :)
Answer:
First choice. 36/100 or 36%.
Step-by-step explanation:
Total # of squares:
10 × 10 = 100 squares.
# of squares shaded:
6 × 6 = 36 squares.
shaded/total to find the percent shaded:
Fraction: 36/100
Percentage: 36/100 × 100 = 36%.
A candle is burning. It starts out 12 inches long. After 1 hour, it is 10 inches long. After 3 hours, it is 5.5 inches
long.
1. When do you think the candle will burn out completely?
2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,
Answer:
The equation of the burning of the candle is
[tex]y = -2x + 12[/tex]
It would take 6 hours for the candle to burn out completely.
Step-by-step explanation:
A candle is burning. It starts out 12 inches long.
After 1 hour, it is 10 inches long.
After 3 hours, it is 6 inches (5.5 must be a typing error)
2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,
The burning of this candle can be modeled by a linear equation of the form
[tex]y = mx + b[/tex]
where y is the length of the candle in inches, x is the time in hours, m is the slope and b is the y-intercept.
The height of the candle is clearly a function of time since it changes with time.
The slope m is given by
[tex]$ m = \frac{y_2 - y_1}{x_2 - x_1} $[/tex]
Where
[tex](x_1, y_1) = (0, 12) \\\\(x_2, y_2) = (1, 10) \\\\[/tex]
[tex]$ m = \frac{10 - 12}{1 - 0} $[/tex]
[tex]m = -2[/tex]
The slope of negative 2 means that the length of the canlde is decreasing by a factor of 2.
To find the value of the y-intercept (b),
substitute (x, y) = (0, 12)
which means that at x = 0 the length of the candle is 12 inches.
[tex]y = mx + b \\\\12 = -2(0) + b \\\\b = 12[/tex]
So the equation of burning of the candle becomes
[tex]y = mx + b \\\\y = -2x + 12 \\\\[/tex]
1. When do you think the candle will burn out completely?
Since we have the equation now we can find the length of the candle for any given time and also find the time required for a specific length of the candle.
Burn out completely means the length of the candle becomes zero.
[tex]y = -2x + 12 \\\\0 = -2x + 12 \\\\-2x = -12 \\\\x = 12/2 \\\\x = 6 \: hours \\\\[/tex]
Therefore, it would take 6 hours for the candle to burn out completely.
A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive. What is the probability that the first two digits in the string are a 4 and a 2 , in that order?
Answer: 0.01.
Step-by-step explanation:
Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.
i.e. each place in 5 digit number has 10 choices.
Total ways to make such a number = [tex]10^5=100000[/tex].
If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000 [as 4 and 2 can be put on first and second place in 1 way ]
Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]
Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.
Which of the following functions best describes this graph
Answer: its c i took the test
Step-by-step explanation:
Consider the quadratic function f(x) =
3x2–5x + 12. Which statements are true about the function and its
graph? Select three options.
Answer:
A, B, D
Step-by-step explanation:
what's the slope of a line that passes through (-8,-16) and (18,5)?
Answer:
C. 21/26
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in our coordinates:
m = (5 + 16)/(18 + 8)
m = 21/26
Answer:
C. 21/26
Step-by-step explanation:
Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.
Here, our y-coordinates are -16 and 5, so:
5 - (-16) = 5 + 16 = 21
Our x-coordinates are -8 and 18, so:
18 - (-8) = 18 + 8 = 26
Now, we divide: 21/26.
The answer is thus C.
~ an aesthetics lover
answer PLS i'm Desperate
Answer:
12.56
Step-by-step explanation:
The shape is 1/4 of a circle.
The arc length is 1/4 of the whole circle’s circumference.
[tex]C=3.14 \times d[/tex]
[tex]r=8[/tex]
[tex]d=2r\\d=2(8)\\d=16[/tex]
[tex]1/4 \times 3.14 \times 16[/tex]
[tex]=12.56[/tex]
Answer:
12.56
Step-by-step explanation:
1. Circumference equation: 2πr
2. Substitute radius in equation: 2•8π
3. Simplify: 16π, or 50.24
4. Divide by 4, since you only need to find 1/4 of the circumference: 12.56