Solve for b:
y = 0x + b
6 = 0 + b
b = 6
The answer is y = 0x + 6
Find the number of bit strings that satisfies the given conditions. The bit strings of length 11 having at least four 1s
Answer:
Step-by-step explanation:
can you help me please.
Answer:
45
Step-by-step explanation:
1st term is 2
2nd term is 3
3rd term is 4
.
.
.
nth term is (n+1)
because common difference is 1, so 1st term = 1 + common difference = 1+1 = 2, for any term, we take n + common difference, so n+1
putting n = 44,
44th term is 44+1 = 45
Answered by GAUTHMATH
what is a fraction between 1/31 and 1/22?
__________
Step-by-step explanation:
Q = { 1/31 < x < 1/22 }
Q = { 1/30, 1/29, 1/28, 1/27, 1/26, 1/25, 1/24, 1/23 }
#mathisfun
HI I NEED HELP WITH THIS QUESTION ASAP!!!!!! ITS URGENT PLEASE HELP
A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.
a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.
b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.
a) The sinusoidal function is y = 7·sin(π/15(t - 2.5)) + 9
b) The height of the shorts at t = 10 minute is approximately 6 meters
The above answers were arrived at as follows
a) The general form of a sinusoidal equation is presented as follows;
y = A·sin(B(t - h)) + k
Where;
A = The amplitude of the graph of the function
The period, T = 2·π/B
h = The horizontal shift
k = The vertical shift
The maximum height of the blade = 16 meters
The minimum height of the blade = 2 meters
The time the blade moves from maximum height to minimum height = 25 s - 10 s = 15 s
Therefore, the time it takes the blade to move from maximum height to minimum height, the period, T= 2 × 15 s = 30 s
Therefore;
B = 2·π/30 = π/15
B = π/15
When B·(t - h) = π/2, t = 10
Therefore;
(π/15)·(10 - h) = π/2
10 - h = 15/2
h = 10 - 15/2 = 2.5
The horizontal shift, h = 2.5
The amplitude, A = (Max - Min)/2
∴ A = (16 - 2)/2 = 7
A = 7
The vertical shift, k = Min - (-Amplitude)
∴ k = 2 - (-7) = 9
The vertical shift, k = 9 Up
Therefore, the equation of the sinusoidal equation that describes the height of shorts in terms of time is given by plugging in the values of the variables, A, B, h, and k to get the following equation;
y = 7·sin(π/15·(t - 2.5)) + 9
b) The height of the shorts at exactly, t = 10 minutes = 600 seconds, is given as follows;
y = 7·sin(π/15·(t - 2.5)) + 9
10 minutes = 600 seconds
When t = 10 minutes = 600 seconds
∴ y = 7·sin(π/15(600 - 2.5)) + 9 = 5.5 ≈ 6
The height of the shorts at exactly t = 10 minutes ≈ 6 meters.
Get more information on sinusoidal functions here;
https://brainly.com/question/16820464
Find the area and the circumference of a diameter 8yd Use the value 3.14 for π, and do not round answer
Answer:
circumference = 25.12 yards
area = 50.24 yards squared or yd^2
Step-by-step explanation:
circumference = pi * d
3.14 * 8 =
25.12
area = pi* r^2
r = 1/2 of d = 4
area = pi * 16
3.14 * 16 =
50.24
Answer:
Area: 50.24yds^2 Circumference: 25.12yds
Step-by-step explanation:
Area: The formula for area of a circle is a = πr^2.
The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:
A = (3.14)(4)^2
A = (3.14)(16)
A = 50.24yds
Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.
C = 2(3.14)(4)
C = 25.12yds
Hope this helps
I need help with this question pls!
Answer:
Answer is D
Step-by-step explanation:
cuh s
A walking trail is 1,580.76 feet long. A lake is located 70.62 feet away from the end of the trail. What is the total distance from the start of the trail to the lake? 1,510.14 feet 1,651.38 feet 2,286.96 feet 8,642.76 feet
Answer:[tex]1651.38\ ft[/tex]
Step-by-step explanation:
Given
A walking trail is [tex]1580.76\ ft[/tex] long and a lake is located [tex]70.62\ ft[/tex] away from end of the trail
The distance from the start of the trail to the lake is the sum of the length of the trail and lake
[tex]\Rightarrow 1580.76+70.62\\\Rightarrow 1651.38\ ft[/tex]
Answer:
B
Step-by-step explanation:
Determine the 3 digit chopping and rounding approximately of the number 0.9
Answer:
We want to "chop and round" the periodic number 0.9 at 3 digits.
First, remember that we can write our periodic number as:
0.9 = 0.9999...
Such that the nine repeats infinitely.
Now we want to chop it at the third digit, and then round.
To chop at the third digit we just "cut" the number at the third digit after the decimal point, we will get:
0.9 ≈ 0.999
Now we round.
Remember that to round a number, we need to look at the last digit after the decimal point.
If the last digit is 5 or larger, we round up, adding 1 to the previous decimal.
If the last digit is 4 or smaller, we round down, don't adding anything to the previous decimal.
in our number:
0.999
The last digit is a 9, so we round up.
Then we add "1" to the previous decimal
but the previous decimal is a 9, so when we add 1, it will transform into a 10.
So it also adds one to the previous decimal, which also is a 9, so the process repeats, this time adding 1 to the decimal to its left, in this case, that decimal will be the first decimal at the left of the decimal point.
So after rounding, we will get:
0.999 ≈ 1
Then we can conclude that:
he 3 digit chopping and rounding approximately of the number 0.9 is 1"
Full working out for this question please.
Answer:
B. 3.2
Step-by-step explanation:
5 companies have 0 computers.
10 companies have 1 computer.
10 companies have 2 computers.
30 companies have 3 computers.
25 companies have 4 computers.
20 companies have 5 computers.
To find mean:
0 x 5 = 0
10 x 1 = 10
10 x 2 = 20
30 x 3 = 90
25 x 4 = 100
20 x 5 = 100
100 + 100 + 90 + 20 + 10 + 0 = 320
20 + 25 + 30 + 10 + 10 + 5 = 100
100 companies were surveyed.
100 companies use 320 computers in total.
320 / 100 = 3.2
Find the slope of the line that passes through (23, -30) and (-7, 18).
Answer:
slope = - [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)
m = [tex]\frac{18-(-30)}{-7-23}[/tex] = [tex]\frac{18+30}{-30}[/tex] = [tex]\frac{48}{-30}[/tex] = - [tex]\frac{8}{5}[/tex]
Solve the equation. Then check your solution.
x - 4 = 2
a.–6
c.7
b.6
d.–2
Please select the best answer from the choices provided
A
B
C
D
Answer:
b) 6
Step-by-step explanation:
x - 4 = 2
x = 2 + 4
x = 6
4(2+-3)2?
I will give 10 points!
Answer:
-8
Step-by-step explanation:
Use PEMDAS (solve for parenthesis first):
4(2 + -3)2
4(2 - 3)2
4(-1)2
(-4)2
-8
4(2 + 3) 2
=4. 5. 2
=4 0
Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. How many batches of soup did Monique make?
Which division and multiplication problems could represent this scenario? Check all the apply.
Answer:
Number of batches of soup = 8 2/3 batches
Step-by-step explanation:
Each batch of soup = 3/4 pounds of potatoes
Total pounds of potatoes available = 6 1/2 pounds
How many batches of soup did Monique make?
Number of batches of soup = Total pounds of potatoes available / Each batch of soup
= 6 1/2 pounds ÷ 3/4 pounds
= 13/2 ÷ 3/4
= 13/2 × 4/3
= (13 * 4) / (2 * 3)
= 52/6
= 8 4/6
= 8 2/3
Number of batches of soup = 8 2/3 batches
Answer:
B 13/2 divided by 3/4
E 13/2 (4/3)
Match function with its corresponding graph
Answer:
Step-by-step explanation:
We can see that there are roots at (-2,0) and (-1,0)
also, the root at (-2,0) should bounce right off
and the root at (-1,0) should go through
With all that being said it has to be B
→
If u vector= a vector-b vector and v vector= a vector+b vector and magnitude of a = b = 2, then magnitude of u vector multiply v vector =???
Answer:
zero
Step-by-step explanation:
[tex]\overrightarrow{u} = \overrightarrow{a} - \overrightarrow{b}\\\\\overrightarrow{v}= \overrightarrow{a} + \overrightarrow{b}\\\\\overrightarrow{u} . \overrightarrow{v} = a^2 - b^2 \\\\\overrightarrow{u} . \overrightarrow{v} = 2^2 - 2^2 = 0[/tex]
So, vector u and vector v are perpendicular to each other.
What is the sum of the interior angles of a regular polygon with 13 sides?
giving 20 points!!
Answer:
1980
Step-by-step explanation:
13 sides
Number of sides n=13
The sum of interior angles of polygon =(2n−4)×90o
=(2×13−4)×90o
=(26−4)×90o
=22×90o
We get,
=1980
carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for carly to walk a mile if there are 5,280 feet in one mile?
Answer:
20.53 minutes
Step-by-step explanation:
Speed = Distance/Time = 30/7
Time = Distance / Speed
= 5280/30/7
= 1232 seconds / 60 = 20.53 minutes
Answered by Gauthmath
Given mn, find the value of x.
+
(6x+9)
m
(4x-19)
Answer:
Submit Answer
attempt 1 out of 2
I really need help with this
Answer:
x = 19
Step-by-step explanation:
The two angles with measures are supplementary.
6x + 9 + 4x - 19 = 180
10x - 10 = 180
10x = 190
x = 19
Answer:
10x -10
Step-by-step explanation:
this answer is really sure
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
Answer:
Step-by-step explanation:
11t= tina
Rita= 11r+32
On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answer:
f(x) > 0 over the interval (–∞, –4)
Step-by-step explanation:
We know that:
Our curve has a minimum at (-2.5, -12)
Our curve has a maximum at (0, - 3) (I assume that is a local maximum).
We know that the curve crosses the x-axes at (-4, 0)
We know that the curve crosses the y-axis at (0, -3)
Notice that when our curve crosses the x-axis at (-4, 0), it goes from above the axis to below the axis.
How we know this?
Remember that "crossing" the x-axis means that the sign of f(x) changes.
At the value x = -2.5 (which is larger than x = -4) the function is negative.
f(-2.5) = -12
and:
f(-4) = 0
So we can see that after f(x) crosses the x-axis at x = -4, the function is negative.
This means that before that point, the function must be positive.
So for values of x smaller than -4, the function should be larger than zero.
f(x) > 0 if x < -4
From this, we can conclude that in the range (-∞, –4), the function is above the x-axis.
Then we would write this as:
f(x) > 0 over the interval (–∞, –4)
The correct option is the last option.
Answer:
Its D
Step-by-step explanation:
solve each given equation
Answer:
x = 30
Infinite Solutions
No Solutions
Step-by-step explanation:
First, combine like terms
Then move all variable to one side and isolate them by undoing the action being done to them
Example 1:
6x + 4x - 6 = 24 + 9x
10x - 6 = 24 + 9x
-9x -9x
x - 6 = 24
+6 +6
x = 30
Example 2:
25 - 4x = 15 - 3x + 10 -x
25 - 4x = 25 - 4x
Since they are the same on both sides, this equation has Infinite Solutions
Example 3:
4x + 8 = 2x + 7 + 2x -20
4x + 8 = 4x - 13
-4x -4x
8 = -13
This statement is untrue, therefore this equation has No Solution
What is the approximate value of tan c?
A. 0.92
B. 0.44
C. 0.40
D. 2.29
Answer:
B. 0.44
Step-by-step explanation:
Tan = Opposite/Adjacent
Tan C = 7/16 = 0.4375 ≈ 0.44
see question in image
Answer:
Total outcomes with two dice is:
6*6 = 3638Outcomes with sum of 7:
1 &6, 2&5, 3&4, 4&3, 5&2, 6&1 - total of 6Probability:
P(sum of 7) = 6/36 = 1/639Outcomes with sum of 5 or 10:
1&4, 2&3, 3&2, 4&1, 4&6, 5&5, 6&4 - total of 7Probability:
P(5x) = 7/3640Outcomes with same numbers:
1&1, 2&2, 3&3, 4&4, 5&5, 6&6 - total of 6Probability:
P(same) = 6/36 = 1/614. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks)
Doubling x and adding 3 is the same as tripling x and adding 1
Answer:
2x + 3 = 3x + 1
x = 2
hope that helps ✌
The area of a square piece of land is 784metersquared .What is the perimeter
Answer:
112 m
Step-by-step explanation:
The area (A) of a square is
A = s² ( s is the length of side )
Here A = 784 , then
s² = 784 ( take the square root of both sides )
s = [tex]\sqrt{784}[/tex] = 28
Then
perimeter = 4s = 4 × 28 = 112 m
Answer:
112m
Step-by-step explanation:
the area of the square is 784m^2 so the square root of 784 would give us the length of the sides(since it's a square the length of each sides are equal). √784 would give 28m. 28 m is the length of each sides..so now the perimeter would be the addition of each sides which in case would be 4 times 28 because it's a square. 4 times 28 gives 112m.
100 points please help... i think the answer is 288 pie squared but not sure
What is the surface area of a dome (a half sphere) with a radius of 12 meters?
576 pie meters squared
48 pie meters squared
288 pie meters squared
96 pie meters squared
9514 1404 393
Answer:
(c) 288π m²
Step-by-step explanation:
The area of a sphere is found using the formula ...
A = 4πr²
Then the area of a half-sphere with radius 12 m will be ...
A = (1/2)(4π)(12 m)² = 288π m²
a teacher bought sweets for her 40 students . if she gave each student 3 sweets , she would have 5 sweets left . How many sweets did she buy?
Answer:
125 sweets
Step-by-step explanation:
Let the total # of sweets the teacher bought be the variable, x.
We can set up this equation to find the # of sweets she bought:
40 · 3 + 5 = x
Because she gave 3 sweets each to her 40 students, we have to multiply these two numbers to get the # of sweets the teacher gave out.
120 + 5 = x
Then, since there's 5 extra sweets left, we can add it to the # of sweets the teacher gave out to get the total amount of sweets she bought.
125 = x
x = 125
125 sweets
Answer:
Total sweets = 125
Step-by-step explanation:
Number of sweets given to each student = 3
Number of sweets given to 40 students = 40*3 = 120
Number of sweets left with the teacher = 5
Total sweets = 120 + 5 = 125
Which label on the cone below represents the vertex?
D
B
А.
С
ОА
D
Mark this and stum
Save and Exit
6a3-5b2+2c2-3a2bc if a=5 b=2c=-1
