Answer: 2
Step-by-step explanation:
we have the sequence 1, 11, 111, 1111 and so on.
We can write this sequence as:
A0 = 1
An = A(n -1) + 10^n.
such that:
A1 = A0 + 10^1 = 1 + 10 = 11.
A2 = 11 + 10^2 = 11 + 100 = 111.
and we want to find the tens digit of the sum of the first 30 terms.
ok, in the 30 terms, in the units digit we have a 1, so we have:
30*1 = 30
we leave the zero and the 3 goes to the tens place.
For the tens place. the first term does not aport nothing, and the other 29 terms aport a 1, so we have:
tens = 3 + 29*1 = 32
then we leave a 2 here and pass a 3 to the hundreds place.
But we already answered the question, the tens digit in the sum of the first 30 numbers of the sequence is 2.
Simplify 27/25 A. 1/7 B. 3/9 C. 3/5 D. 9/15 I will mark you as brainliest
Answer:
27/25 simplified is 1 2/25 none of your answers work
Step-by-step explanation:
Answer:
27/25
Step-by-step explanation:
27/25
Simplify the fraction if possible.
= 27/25
The improper fraction cannot be simplified further.
Write –64.875 as a mixed number.
Answer:
[tex]-64\frac{7}{8}[/tex]
Step-by-step explanation:
-64 would be the whole number.
.875 would be 875/1000 as a fraction.
Put them together:
[tex]-64\frac{875}{1000}[/tex]
Simplify:
[tex]-64\frac{875}{1000}=-64\frac{875/125}{1000/125}=\boxed{-64\frac{7}{8}}[/tex]
What is the smallest integer $n$, greater than $1$, such that $n^{-1}\pmod{1050}$ is defined?
Answer:
11
PLS DON'T USE THIS AS A CHEAST SITE FOR ALCUMUS. SPECIFY EHAT YOU HAVE TRIED AND I WILL HELP YOU. OTHERWISE YOU ARE NOT LEARNING ANYTHING. THIS ONE TIME I WILL GIVE YOU THE ANSWER.
Describe how to transform the graph of f(x) = x* to obtain
the graph of the related function g(x) = f(-4(x - 3)) + 1.
Then draw the graph of g(x).
Answer:
Step-by-step explanation:
Parent function is, f(x) = x²
For x = -4(x - 3),
f[-4(x - 3)] = [-4(x - 3)]²
= 16(x - 3)²
= 16(x - 3)²
g(x) = 16(x - 3)² is the transformed form of the graph f(x).
Here 16 (Coefficient of x²) represents the vertical stretch of the parent function by 16 units.
Followed by a translation of the function by 3 units right.
Table of input and output values of g(x),
x 0 1 2 3 4 5
y -48 -32 -16 0 16 32
Now plot these points on a graph and join them.
ASAP!!!!!!! The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 30 people. graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money 0 ≤ y ≤ 30 40 ≤ x ≤ 100 0 ≤ x ≤ 30 40 ≤ y ≤ 100
Answer:
40 ≤ y ≤ 100
Step-by-step explanation:
Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30
Step-by-step explanation:
Carmen finish her English assignment in 1/4 hours then she completed her math assignment in 2/5 hours what was the total amount of time Carmen spent doing these 2 assignment
Answer:
13/20
Step-by-step explanation:
To figure this out, all you need to do is to add 1/4 and 2/5 together. But to do this you first need to find a common denominator. I used 20 as the common denominator, so now the two fractions are 1/4=5/20 and 2/5=8/20. Now that we have a common denominator, all you have to do it 5/20+8/20=13/20.
f(x) = 1/2 x-5
What is f(6)?
8
-2
1
7
Answer:
f(6) =-2
Step-by-step explanation:
f(x) = 1/2 x-5
Let x = 6
f(6) = 1/2 *6-5
=3 -5
= -2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]f(6)=\frac{1}{2}6-5 = -2[/tex]
Solve: 16x2 − 80 = 0 Round the answer to the nearest hundredth. x = −0.45 and x = 0.45 x = −2.24 and x = 2.24 x = −8.94 and x = 8.94 x = −9.80 and x = 9.80
Answer:
x = −2.24 and x = 2.24
Step-by-step explanation:
16x^2 − 80 = 0
Add 80 to each side
16x^2 =80
Divide each side by 16
x^2 = 80/16
x^2 =5
Take the square root of each side
x = ± sqrt(5)
x = ±2.236067977
Answer:
x = 2.24 OR x = -2.24
Step-by-step explanation:
=> [tex]16x^2-80 = 0[/tex]
Adding 80 to both sides
=> [tex]16x^2 = 80[/tex]
Dividing both sides by 16
=> [tex]x^2 = 80/16\\x^2 = 5[/tex]
Taking sqrt on both sides
=> x = ±√5
=> x = ±2.24
So,
Either,
x = 2.24 OR x = -2.24
How many whole numbers between 99 and 999 contain the digit '1'?
Answer:
162
Step-by-step explanation:
The number with "1" digit starts with 101 then 110 and so on.
Which of the following describes the location of the opposite of the number that R represents on this line? Answer Options At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 8 tick marks below 0 At a distance of 8 tick marks above 0
Answer:
At a distance of 4 tick marks above
Step-by-step explanation:
In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.
Create an explicit linear equation to model the change in median age over time. Use t for time (measured in decades since 1980) and a for median age (measured in years).
Answer:
y = 0.265x - 494.7
Step-by-step explanation:
Let median age be represent by 'a' and time be represent by 't'
In 1980, median age is given 30
which means that
a₁ = 30
t₁ = 1980
In 2000, the median age is given 35.3
which means that.
a₂ = 35.3
t₂ = 2000
The slope 'm' of the linear equation can be found by:
m = (a₂ - a₁) /(t₂ - t₁)
m = (35.3 - 30)/(2000-1980)
m = 0.265
General form of linear equation is given by:
y = mx + c
y = 0.265x +c
Substitute point (1980,30) in the equation.
30 = 0.265(1980) + c
c = -494.7
Hence the the linear equation can be written as:
y = mx + c
y = 0.265x - 494.7
awarding branliest for first correct answer
Answer:
(x - 3)(x + 3)(x² + 9)
Step-by-step explanation:
Step 1: Difference of Squares
(x² - 9)(x² + 9)
Step 2: Difference of Squares within Difference of Squares
(x - 3)(x + 3)(x² + 9)
*You can't factor x² + 9 because it has no real roots. You can factor it to have complex roots (imaginary number i).
Answer:
(x+3)(x+3)(x²-9)
Five students and two teachers attend a conference at Statistics Canada. They pose for a picture. In how many ways can they line up, side by side, for a picture? In how many ways can they line up if they must have the teachers on both sides of the picture? What is the probability that the two teachers occupy two of the three middle slots?
Answer:
480 ways
240 ways
Probability = 1/7
Step-by-step explanation:
Given:
Number of student = 5
Number of teacher = 2
Computation:
1. Number of ways can they line up, side by side, for a picture.
5! × 2! × 2
480 ways
2. Number of ways can they line up if they must have the teachers on both sides of the picture.
5! × 2!
240 ways
3. Probability that the two teachers occupy two of the three middle slots.
³C₂ × 5! × 2!
720 ways
Total number = 7! = 5,040 ways
Probability = 720 / 5,040
Probability = 1/7
The number of ways that can they line up, side by side, for a picture is 480 ways
The number of ways can they line up if they must have the teachers on both sides of the picture is 240 ways
Th probability that the two teachers occupy two of the three middle slots is 1/7
Calculation of number of ways and probability:Sincee Five students and two teachers attend a conference at Statistics Canada
The number of ways should be
= 5! × 2! × 2
= 480 ways
Now the number of ways is
= 5! × 2!
= 240 ways
Now the probability is
= ³C₂ × 5! × 2!
= 720 ways
And, finally
Total number = 7! = 5,040 ways
Probability = 720 / 5,040
Probability = 1/7
learn more about probability here: https://brainly.com/question/23270719
A ball is released at a height of 8 inches to roll inside a half - cylinder. It rolls to a height of 2 inches on the other side of the cylinder on roll 1. each time it rolls up a side of the cylinder, the ball reaches a point that is 1/4 as high as it had reached on the other side. This explicit formula models the height of the ball, in inches, the nth time it rolls up a side of the cylinder. A. 1 inch B. 1/8 inch C. 1/4 inch D. 1/2inch
Answer:
C) 1/8 inch
Step-by-step explanation:
The formula to calculate the gravitational force between two objects is F, = GM1M2/r^2
where M1 and M2 are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M1 in terms of Fg, G, M2 and r.
Answer: M1=?
Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows;
F = (G M1M2)/r²By cross product;
Fr² = G M1M2Afterwards; by dividing through by G M2; we have;
M1 = Fr²/GM2Read more:
https://brainly.com/question/15344051
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used. Match the exponential functions f(x) and g(x) with their key features. Please Help!! I will give brainliest to correct answer
Answer:
f(x) = (y-intercept is 3) ,(decreasing function),(average rate of change on (0,1) is -2)
g(x) = (y-intercept is 3), (increasing function) (average rate of change on (0,1) is 1)
Step-by-step explanation:
Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5 a. y = 3x + 1 b. y = 3x - 4 c. y = -1/3x - 4 d. y = -1/3x + 1
Answer:
y = 3x + 1
Step-by-step explanation:
This new line is parallel to y = 3x - 5 and thus has the same slope (3).
Adapting the point-slope formula y = mx + b to this situation, we use m = 3 and substitute 0 for x and 1 for y:
1 = 3(0) + b
Therefore, b = 1, and the desired equation is
y = 3x + 1
Determine the equation of the line shown in the graph: y = −1 y = 0 x = −1 x = 0
Answer:
Option C.
Step-by-step explanation:
If a vertical line intersects the x-axis at point (c,0), then the equation of line is x=c.
From the given figure it is clear that it is a vertical line and it intersects the x-axis at (-1,0). There are infinite values of y at x=-1.
So, the equation of given line is
[tex]x=-1[/tex]
Therefore, the correct option is C.
The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E
Answer:
A,D,E
Step-by-step explanation:
Answer:
A,D,E
I WILL NOT GIVE A EXPLAINTION
Does this graph represent a function? Why or why not?
Answer: C
Step-by-step explanation: For a function, each x-coordinate corresponds to exactly one y-coordinate.
To determine whether the graph shown here
is a function, we can use the vertical line test.
The vertical line test tells us that if each x-coordinate on the graph corresponds to exactly one y-coordinate, then any vertical line that we draw on the graph should hit the graph at only one point.
For the graph show here, any vertical line that you draw with hit the graph at only one point which means it does pass the vertical line test.
So this graph is a function.
PLEASE HELP simplify the expression: 2/3÷(-4)-[ 1/6-8/6] A. 1 B. 29/24. C. -24/17. D. 23/24
Answer:
A. 1
Step-by-step explanation:
2/3 ÷ (-4) - (1/6-8/6)
Solve for brackets.
2/3 ÷ (-4) - (-7/6)
2/3 ÷ (-4) + 7/6
-2/12 + 7/6
Make denominators equal.
-2/12 + 14/12
12/12
= 1
Plz help with this question, I will mark brainliest. Answer needed fast.
Answer:
n = [tex]\frac{5}{3}[/tex] (C - 2.5)
Step-by-step explanation:
Given
C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )
C - 2.5 = [tex]\frac{3}{5}[/tex] n
Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction
[tex]\frac{5}{3}[/tex] (C - 2.5) = n
Answer:
n = 5/3(C - 2.5)
Step-by-step explanation:
C = 3/5n + 2.5
Subtract 2.5 on both sides.
C - 2.5 = 3/5n
Multiply 5/3 on both sides.
5/3(C - 2.5) = n
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. answers: A) 28° B) 56° C) 180° D) 112°
Answer:
D) 112°
Step-by-step explanation:
Reflection is a type of transformation that require the turning of a point or an object about a reference point line.
In the given question, when the point is first reflected about l, it rotates at an angle of 56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.
3. Write the slope-intercept form of the equation that passes through the point (5, -1) and is parallel to the line y = -x + 5 y = -x - 6 y = -x + 4 y = x - 6 y = x + 4
Answer:
Step-by-step explanation:
I can help
Compute the missing data in the table for the following exponential function . Leave your answer in decimal form.
x
1
2
3
4
5
6
7
y
0.5
0.25
0.125
0.0625
?
0.01563
0.00781
a.
0.03753
c.
0.03125
b.
0.0379
d.
0.03951
Answer: Option C: 0.03125
Step-by-step explanation:
we have an exponential equation, so we have:
f(x) = A*r^x
we have that:
f(1) = A*r^1 = A*r = 0.5
f(2) = A*r^2 = 0.25
f(3) = A*r^3 = 0.125
f(4) = A*r^4 = 0.0625
f(5) = A*r^5 = ?
we want to find the value f(5)
first, let's take the quotient:
f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.
then we have:
f(x) = A*0.5^x
and f(1) = A*0.5 = 0.5
then A = 0.5/0.5 = 1.
now we know that our function is f(x) = 0.5^x.
then, if we want to find f(5) we have:
f(5) = 0.5^5 = 0.03125
Then the correct option is option c.
4×4 square is divided into 16 equal parts. One 1×1 square is placed in the center, as shown in the picture. Calculate a the number of squares. please help i need your assistance
Answer:
16 squares
Step-by-step explanation:
IfA=(-2,-4) and B=(-8,4), what is the length of AB?
Answer:
10 unitssolution,
A(-2,-4)--->(X1,y1)
B(-8,4)----->(x2,y2)
now,
[tex]ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units[/tex]
Hope this helps..
Good luck on your assignment
What is the slope of the line?
Answer: 3/4
Step-by-step explanation:
Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis
Can someone help please
Answer:
It’s c
Step-by-step explanation:
Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brother Sam they can clean the house together in t hours. How many hours would it have taken Sam if he was working alone?
Answer:
s = t - m
Step-by-step explanation:
Assuming s equals the amount of time it would take Sam, subtracting the amount of time it takes Mark from the time it takes them together would give you the time Sam would take since with Sam's help, the time would equal t hours. Then without Mark's help is how long it would take him.