find the 104 term of the sequence -2,1,4,7,...
Answer:
307.
Step-by-step explanation:
Arithmetic sequence with first term a1 = -2 and common difference d = 1 - -2 = 3
an = a1 + d( n - 1), so
a104 = -2 + 3(104 - 1)
= -2 + 309
= 307.
After a 35% discount, a book costs 11.21, what is the normal undiscounted price of the book?
Answer:
$17.25
Step-by-step explanation:
First, we know that $11.21 is 65% of the original price, so divide 11.21 by 65 to find 1% of the original price
Then just multply your result of .17246 by 100 to get 17.246, which rounded to 17.25
The normal undiscounted price of the book is $17.24.
Explanation:To find the normal undiscounted price of the book, we need to calculate the original price before the discount. Let's assume the original price of the book is 'x'. After a 35% discount, the book costs $11.21. We can set up the equation:
x - 0.35x = 11.21
Simplifying the equation, we get:
0.65x = 11.21
Dividing both sides by 0.65, we find:
x = 11.21 / 0.65
Using a calculator, we get:
x ≈ $17.24
Therefore, the normal undiscounted price of the book is $17.24.
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What is the set of all x values called? *
The domain of a relation is the set of all the x-terms of the relation.
If an x-term appears twice in a relation, only list in once in the domain.
Solve 14x + 1 = 36.
Round to the nearest ten-thousandth.
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
Answer:
X=2.5
Step-by-step explanation:
14x +1 =36
14x + 1 =36
- 1 = 36
14x = 35
14x / 2 = 35 / 2
x = 2.5
(a(1) = -2
[a(n) = a(n − 1) – 5
Find the 4th term in the sequence.
The 4th term in the sequence is -17.
To find the 4th term in the sequence defined by the recursive formula [tex]\(a(n) = a(n-1) - 5\)[/tex] with the initial condition [tex]\(a(1) = -2\)[/tex], you can use the recursive formula to compute each term. Let's find the first few terms:
1. [tex]\(a(1) = -2\)[/tex] (given)
2. [tex]\(a(2) = a(1) - 5 = -2 - 5 = -7\)[/tex] (using the recursive formula)
3. [tex]\(a(3) = a(2) - 5 = -7 - 5 = -12\)[/tex] (using the recursive formula)
4. [tex]\(a(4) = a(3) - 5 = -12 - 5 = -17\)[/tex] (using the recursive formula)
The recursive formula tells us how to calculate each term in the sequence based on the previous term. Starting with \(a(1)\), we use the formula to find [tex]\(a(2)\)[/tex], then use [tex]\(a(2)\) to find \(a(3)\)[/tex], and so on.
So, the 4th term [tex](\(a(4)\))[/tex] is found by taking the previous term [tex](\(a(3)\))[/tex], which is -12, and subtracting 5.
Complete the question:
a(1) = -2;
a(n) = a(n − 1) – 5
Find the 4th term in the sequence.
Final answer:
The 4th term in the sequence defined by a(1) = -2 and a(n) = a(n − 1) − 5 is -17, which is found by successively subtracting 5 from the previous term.
Explanation:
To find the 4th term in a sequence where a(1) = -2 and a(n) = a(n − 1) − 5, we will use the recurrence relation to determine each subsequent term:
First term (a(1)) is given as -2.The second term (a(2)) equals a(1) - 5 = -2 - 5 = -7.The third term (a(3)) equals a(2) - 5 = -7 - 5 = -12.The fourth term (a(4)) equals a(3) - 5 = -12 - 5 = -17.Therefore, the 4th term in the sequence is -17.
an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior citizens. how much would a senior citizen need to pay for the umbrella during the sale? Round you answer to the nearest cent.
Answer:
75
Step-by-step explanation:
Answer:
5.52
Step-by-step explanation:
this is because if you do
6 * 0.08 it would equal 0.48
then subtract 0.48 from 6
A cylinder with height 9 inches and radius 6 inches. What is the exact volume of the cylinder? Cylinder V=Bh V = 54 pi inches cubed V = 108 pi inches cubed V = 324 pi inches cubed V = 486 pi inches cubed
Answer:
V=324 pi inches cubed
Step-by-step explanation:
The formula for the volume of a cylinder is πr²h
π(6)²(9)
π(324)
Answer:
c : 324 pi in cubed. on edge 2020
Step-by-step explanation:
p v q is true for a total of how many cars?
Answer:D. 80
Step-by-step explanation:
all you do is add 40, 14 and 26 from the graph
Answer quick please.
Answer:
V = (1/2) mile per (5/10) hour, multiply both mile and hour by 2, => V = 1 mile per 1 hour (1 mile/hour)
Hope this helps!
:)
Answer:
1
Step-by-step explanation:
Evalute the expression. 80 + (8x4) divided by 2
Answer:
If you meant [80 + (8*4) ]/2, then [80 + (8*4) ]/2=56
or if you meant 80 + [ 8*4 / 2], then 80 + [ 8*4 / 2] = 96
Step-by-step explanation:
Evalute the expression. 80 + (8x4) divided by 2
so do you mean
the whole expression 80 + (8x4) is over 2 ?
If so then:
evaluate 8x4 = 8 * 4 = 32.
so we have 80 + (8x4) is over 2 = (80 + 32)/2 = 112/2 = 56
If you meant 80 + [ 8*4 / 2]
then 80 + [ 8*4 / 2] = 80 + 8*2 = 80 + 16 = 96
when a trend line is drawn on a scatter plot, there are four points above the trend line. about how many points should be below the trend line?
a. 0
b. 2
c. 4
d. 8
Answer:4
Step-by-step explanation:
Hello! I really need help with this problem!
Answer: No, yes, yes, no, yes, no, yes
Step-by-step explanation: When you graph the two functions together you can determine the verity of the differnt statements and the relation between the functions such as when and where they will collide, x and y intercepts, etc
Answer:
e
Step-by-step explanation:
How should the decimal point in 948.921 change to get the correct answer to 948.921 ÷ 10 to the power of 4?
move it 4 places to the left
move it 4 places to the right
move it 5 places to the left
move it 5 places to the right
Answer:
move it 4 places to the left
Step-by-step explanation:
10 to 4th power is basically 10000 so 948.921 divided by 10000 so its obvious it will not move to the right, making the number bigger.
clarissa has 3 pints of ice tea that she divides into 1/2-pint servings. how Many 1/2 -pints servings does she have?
Answer:
6
Step-by-step explanation:
1 pint of tea will produce 2 half pints
So since there are 3 pints of tea it will produce 6 half pints of tea
What percent is equivalent to the fraction 10/25 (ten twenty-fifths)? *
20 points
A
10%
B
40%
C
25%
D
5%
Write the word sentence as an equation. Then solve.
The difference between a number p
and 6 is −14.
Answer:
p - 6 = -14
p = -8
If someone confuses the order, p might be 20, But here I am going to choose p= -8
Step-by-step explanation:
The difference between a number p
and 6 is −14.
The difference between a number p and 6 = -14
I replace "is" with an equal sign
p - 6 = -14
so
p = 6 - 14
p = -8
it can be confused as 6 - p = -14, p = 20
Answer:
The difference between a number p
and 6 is −14.
The difference between a number p and 6 = -14
I replace "is" with an equal sign
p - 6 = -14
so
p = 6 - 14
p = -8
it can be confused as 6 - p = -14, p = 20
Step-by-step explanation:
Red box weighs 50 pounds, blue box weighs 60 pounds, and yellow box weighs 115 pounds. What is the average weight in pounds?
Answer: 75
Step-by-step explanation:
Add the three factors and divide by three.
Ben needs to mix 1.5 cups of lemonade concentrate with 4 cups or water to make lemonade. He has 6 cups of concentrate. How much water does he need?
Answer:
24
Step-by-step explanation:
To get your answer, you need to multiply 1.5 and 6.
1.5 x 6 = 9
Then you multiply 4 and 6.
4 x 6 = 24
Which is your final answer.
I hope this helps you! Good Luck!в та
If B = 49°13' and b - 10 find a
a. 4.6
b. 8.6
C.
d.
5.4
6.5
Answer:
A
Step-by-step explanation:
For each statement determine if it is True or False for the graph of 6x – 3y = 21.
The x-intercept is 3 1/2.
A).Yes B).No
The y-intercept is -7.
А). Yes B). No
The slope is 3.
A). Yes B). No
1. Yes, the x-intercept is 3 1/2
2. Yes, the y-intercept is -7
3. No, the slope is 2
Explanation:6x -3y = 21
-3y = -6x + 21
y = 2x - 7
Evaluate each expression
Use the values a = 5 and b = 3
3(a+b)
(a+b)-7
4(2a+b)
6( a- b )+5
( a + b) ( a -b )
(2a + b ) (2a - b)
3 ( b + a )
4 (b + 2a
Answer:
Answers are all the way to the right
Step-by-step explanation:
3(a+b) 3(5 + 3) 3(8) 24
(a+b)-7 (5 + 3) - 7 8 - 7 1
4(2a+b) 4(2*5 + 3) 4(10 + 3) 4(13) 52
6( a- b )+5 6(5 - 3) + 5 6(2) + 5 12 + 5 17
( a + b) ( a -b ) (5 + 3)(5 - 3) 8(2) 16
(2a + b ) (2a - b) (2*5 + 3)(2*5 - 3) (10 + 3)(10-3) 13(7) 91
3 ( b + a ) 3(3 + 5) 3(8) 24
4 (b + 2a) 4(3 + 2*5) 4(3 + 10) 4(13) 52
If these answers are correct, please make me Brainliest!
Jimmy's fishing boat is sailing near the shoreline when a lighthouse on the top of a 250-foot cliff is lit up. If Jimmy's sight line is 400 feet away from the lighthouse, what is the angle of depression from the lighthouse to the fishing
Answer:
32.0054
Step-by-step explanation:
i think
The angle of depression is approximately 32.01 degrees.
To find the angle of depression, we can use the concept of trigonometry. Specifically, we use the tangent function, which relates the height of the lighthouse to the distance from the lighthouse to Jimmy's boat.
Steps to solve:
Let θ be the angle of depression.The height of the lighthouse (opposite side) is 250 feet.The distance from the lighthouse to the boat (adjacent side) is 400 feet.Use the tangent function: tan(θ) = opposite / adjacent.Substitute the values: tan(θ) = 250 / 400.Simplify the fraction: tan(θ) = 0.625.Find the angle by taking the arctangent: θ = [tex]tan^{-1}[/tex](0.625).The result is approximately: θ ≈ 32.01 degrees.Therefore, the angle of depression from the lighthouse to the fishing boat is about 32.01 degrees.
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.
Video Rental Fines
A graph titled Video Rental Fitness has videos rented on the x-axis, and fines (dollars) on the y-axis. Points are scattered all over the graph.
a.
negative; as the number of videos rented increases, the amount of fine increases.
b.
negative; as the number of videos rented increases, the amount of fine decreases.
c.
no correlation
d.
positive; as the number of videos rented increases, the amount of fine decreases.
Please select the best answer from the choices provided
A
B
C
D
Mark this and return
Answer:
cccccccc
Step-by-step explanation:
Graph the solutions of the linear equation
y=-2x + 1. Then explain how the graph is
different from the graph in the example,
Answer:
c
Step-by-step explanation:
HIGH POINT QUESTION
A shape is rotated 180 degrees about the origin and then its image is reflected in the Y-axis. Describe fully the single transformation that would have the same result as the two transformations described above.
Answer:
Reflection in the x-axis
Step-by-step explanation:
If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).
If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.
How much is x? Round it to the nearest tenth.
Answer:
The answer is 7.3
Step-by-step explanation:
Given: A = 1 −1 −2 3 B = 1 5 8 −8 C = 1 2 3 4 Solve: AX + B = C X =
Answer:
-5 3, -5 6
Step-by-step explanation:
just did it
Answer:
1st row: [-5 3] 2nd row: [-5 6]
Step-by-step explanation:
Edge 2020
Determine the volume of the oblique cylinder. Use 3.14 for
π. Round your answer to the nearest tenth. Show all of your work.
Answer:
602.88 in ^ 3
Step-by-step explanation:
To calculate the volume of a cylinder, is the multiplication of the base area by the height the formula is as follows:
Vc = pi * (r ^ 2) * h
we have the necessary data, the radius equals 4 inches and the height equals 12 inches, replacing:
Vc = 3.14 * (4 ^ 2) * 12
Vc = 602.88 in ^ 3
that is, the volume of the oblique cylinder is 602.88 cubic inches
Answer:
The volume is 602.9in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder
To find the volume of the oblique cylinder we use the formula for the volume of a cylinder
V= πr²h
Given data
Radius r = 4in
Height h= 12in
Substituting our given data we have V= πr²h
V=3.14*(4)²*12
V= 3.14*16*12
V= 602.88in³
To the nearest tenth
V= 602.9in³
Enter the value of the exponential expression 5^0
Answer:
1
Step-by-step explanation:
whenever something is to the power of 0, it equals 1
what is f^7 . f^1 please help
Answer:
is f^8
Step-by-step explanation: