Below is the graph of a trigonometric function. It intersects its midline at (4.7,-3.8) and it has a maximum point at (-4.7,3.8). What’s the period?
Answers
The period of the trigonometric function, given the graph provided, is [tex]\( 9.4 \)[/tex]units.
To determine the period of the trigonometric function from the graph, we need to find the length of one complete cycle of the function.
The period of a trigonometric function is the horizontal length between two points where the function begins repeating its pattern. For sine and cosine functions, this is typically from peak to peak, from trough to trough, or between any two identical points on the graph that are one cycle apart.
Looking at the image, we can see that the function reaches a maximum at the point (-4.7, 3.8) and then again at (4.7, -3.8). However, the points given are not one full cycle apart because they represent a maximum and the function's intersection with its midline. Instead, we should look at the distance along the x-axis between two consecutive maximums or two consecutive midline crossings.
If we assume that the graph is symmetric and the pattern repeats in the positive direction of the x-axis, the period would be twice the distance from the given midline crossing to the next one. This is because the midline crossing at (4.7, -3.8) is halfway through a cycle. Therefore, we can double this x-value to find the period.
Since the crossing occurs at x = 4.7, and it's half the period, the full period [tex]\( P \)[/tex] would be:
[tex]\[ P = 4.7 \times 2 \][/tex]
Let's compute the exact value.
The period of the trigonometric function, given the graph provided, is [tex]\( 9.4 \)[/tex]units.
complete question given below:
Answer:
37.6 units
Step-by-step explanation:
khan Academy said so
Related Questions
distance between -3 1/4 and -6 1/2
Answers
ANSWER
[tex]3 \frac{1}{4} [/tex]
EXPLANATION
We want to find the distance between
[tex] - 3 \frac{1}{4} [/tex]
and
[tex] - 6 \frac{1}{2} [/tex]
This numbers can be located on the number line.
The distance between them is the absolute value of the difference between the two numbers.
[tex] | - 6 \frac{1}{2} - - 3 \frac{1}{4} | [/tex]
[tex] | - \frac{13}{4} | [/tex]
[tex] = \frac{13}{4} [/tex]
[tex] = 3 \frac{1}{4} [/tex]
The probability that a randomly selected American
household owns at least one dog is 43%. The probability that
the household owns at least one cat is 31%. The probability that
the household owns either a dog or cat is 57%. What is the
probability that the household own both a cat and a dog?
A 12%
B.17%
0.37%
D. 131%
Answers
Answer:
B. 17%.
Step-by-step explanation:
The General Probability Addition Rule is
P(A∪B) = P(A) + P(B) − P(A∩B) where P(A∪B) = P(A) or P(B) and P(A∩B) = P(A) and P(B).
So applying this to our problem we have:
0.57 = 0.43 + 0.31 - P( household has a cat and a dog)
so the answer is 0.43 + 0.31 - 0.57
= 0.17 or 17%.
The probability that the household own both a cat and a dog will be 17%.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The General Probability Addition Rule is
P(A∪B) = P(A) + P(B) − P(A∩B) where P(A∪B) = P(A) or P(B) and P(A∩B) = P(A) and P(B).
So applying this to our problem we have:
0.57 = 0.43 + 0.31 - P( household has a cat and a dog)
so the answer is 0.43 + 0.31 - 0.57
= 0.17 or 17%.
Hence the probability that the household own both a cat and a dog will be 17%.
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Consider the data set on the number line. Determine the interquartile range.
A) 3
B) 6
C) 14
D) 17
Answers
Answer:
b
Step-by-step explanation:
todo lol que tienes que hacer es hacer la cosa ricola sexta
How do I ace my algebra eoc?
Answers
Answer:
The EOC is an exam that is more logical, what I can recommend is to study the packages the teacher gave you and also study at USATESTPREP that can help you a lot
A five pound bag of apples costs $3.45. What is the unit cost of apples
Answers
Answer: Assuming a unit of apples is one pound, the answer is .69 cents
Step-by-step explanation:
3.45 / 5 = .69
Find an equation of the line L that passes through the point (2,-12) and satisfies the given condition.
L is perpendicular to the line 8x + 2y = -8.
Answers
Answer:
y = 1/4 x - 12.5
Step-by-step explanation:
8x + 2y = -8 (rewrite in y = mx + b form)
2y = -8x -8 (divide both sides by 2)
y = -4x -2 for first line
Perpendicular line L has "opposite/inverse" slope
y = -4x + b becomes y = 1/4 x + b
What's b (the y-intercept)?
Plug the point (2, -12) into the equation y = 1/4 x + b to solve for b
-12 = 1/4 (2) + b
-12 = 1/2 + b (subtract 1/2 from both sides)
-12.5 =b (rewrite equation)
y = 1/4 x - 12.5
How many points does the graph of the function below intersect the x-axis? y=9x^2 -12x+4
Answers
Answer:
One point: (2/3, 0)
Step-by-step explanation:
The fastest way to determine this is to find the discriminant, b^2-4ac:
discriminant = (-12)^2 - 4(9)(4) = 144 - 144 = 0
The rule here states that if the discriminant is 0, the function has two real, equal roots. Those roots are
-(-12) ± √0
x = ---------------- = 12/18, or 2/3.
2(9)
The graph touches the x-axis at x = 2/3, but does not cross it. In other words, the graph intersects the x-axis at only one x value: 2/3.
x = ------------------
The graph of the function y = 9x² - 12x + 4 intersect the x-axis at [tex]x = \frac{2}{3}[/tex] only.
What is x-intercepts ?The x-intercepts are the points where the graph intersects the x-axis. The vertex is the point that defines the minimum or maximum of a parabola.
We have,
y = 9x² - 12x + 4
Now,
So, to get the x-intercept,
Put y = 0,
i.e.
0 = 9x² - 12x + 4
Now,
Using the mid term splitting method,
0 = 9x² - 12x + 4
0 = 9x² - 6x - 6x + 4
0 = 3x(3x - 2) -23(x - 2)
i.e.
0 = (3x - 2) (3x - 2)
Now,
3x - 2 = 0
⇒ [tex]x = \frac{2}{3}[/tex]
And,
Now,
3x - 2 = 0
⇒ [tex]x = \frac{2}{3}[/tex] ,
So,
The x -intercept is only at one point, i.e. [tex]x = \frac{2}{3}[/tex].
Hence, we can say that the graph of the function y = 9x² - 12x + 4 intersect the x-axis at [tex]x = \frac{2}{3}[/tex] only.
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The initial count of a certain type of bacteria in a culture is 580. If the bacteria continually grow at the rate of 18% per hour, which function models the number of bacteria after t hours?
Answers
Answer:
[tex]P (t) = 580e ^ {0.18t}[/tex] or [tex]P (t) = 580 (1.18) ^ t[/tex]
Step-by-step explanation:
There are two models of exponential growth that you can use to predict the population of bacteria after t hours.
I) [tex]P (t) = pe ^ {rt}[/tex]
II) [tex]P (t) = p (1 + r) ^ t[/tex]
Where
p is the initial population of bacteria
r is the growth rate
t is the time in hours.
In this case we know that:
[tex]p = 580\\\\r = \frac{18}{100}\\\\r = 0.18[/tex]
Then the equations that can be used to predict the population of bacteria after t hours are:
I) [tex]P (t) = 580e ^ {0.18t}[/tex]
II)[tex]P (t) = 580 (1 + 0.18) ^ t[/tex]
A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
The height of the container is ___ centimeters. If its diameter and height were both doubled, the container's capacity would be _____times its original capacity.
Answers
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
[tex]V=\frac{\pi r^2h}{3}[/tex]
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
[tex]r=\frac{12cm}{2}=6cm[/tex]
We know the volume and the radius of the conical container, then we can find "h":
[tex]120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm[/tex]
The diameter and height doubled are:
[tex]d=12cm*2=24cm\\h=10cm*2=20cm[/tex]
Now the radius is:
[tex]r=\frac{24cm}{2}=12cm[/tex]
And the container capacity is
[tex]V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3[/tex]
Then, to compare the capacities, we can divide this new capacity by the original:
[tex]\frac{960\pi cm^3}{120\pi cm^3}=8[/tex]
Therefore, the container's capacity would be 8 times its original capacity.
Answer:
i can’t see others answers
What is the range of the function f(x)=(x-1)^2 when the domain is {-5,0,5}?
Answers
The range of the function f (x) = (x - 1)² when the domain is {-5,0,5} is,
⇒ {36, 1, 16}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable
Given that;
The function is,
⇒ f (x) = (x - 1)²
And, domain is {-5,0,5}.
Now, We can find the value of range as;
Put x = - 5 in above function,
⇒ f (x) = (x - 1)²
⇒ f (x) = (- 5 - 1)²
⇒ f (x) = (- 6)²
⇒ f (x) = 36
Put x = 0 in above function,
⇒ f (x) = (x - 1)²
⇒ f (x) = (0 - 1)²
⇒ f (x) = (- 1)²
⇒ f (x) = 1
Put x = 5 in above function,
⇒ f (x) = (x - 1)²
⇒ f (x) = ( 5 - 1)²
⇒ f (x) = ( 4)²
⇒ f (x) = 16
Thus, The range of the function f (x) = (x - 1)² when the domain is {-5,0,5} is,
⇒ {36, 1, 16}
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Find the solution of the system of equations shown on the graph.
Answers
Answer:
no solution
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The 2 lines shown here are parallel and never intersect
Hence the system has no solution
when an exponent of a power is an even number and the base is a negative number, the value is always:
A. positive
B. negative
C. 0
D. none of the choices
Answers
Answer:
The correct answer option is A. positive.
Step-by-step explanation:
When an exponent or a power is an even number and the base is a negative number, the value is always positive.
Suppose we have a negative base [tex] - 3 [/tex] and a power which is even, lets say, [tex] 6 [/tex] so what we get is a positive value.
[tex](-3)^6=729[/tex]
Therefore, a negative base with even power is always a positive value.
Answer: A. positive
Step-by-step explanation:
We know that powers are written in this form:
[tex]b^m[/tex]
Where "b" is the base and "m" is the exponent.
By definition, the exponent indicates how many times to base must be multiplied by itself. Then, if the base is negative and the exponent is an even number, you get:
[tex](-3)^4=(-3)(-3)(-3)(-3)=81\\\\\\(-2)^2=(-2)(-2)=2\\\\\\(-5)^6=(-5)(-5)(-5)(-5)(-5)(-5)=15,625[/tex]
Therefore, when an exponent of a power is an even number and the base is a negative number, the value is always positive.
A gas can holds 10 liters of gas. How many cans could we fill with 35 liters of gas?
Answers
Answer:
3 and 1/2
Step-by-step explanation:
because if one can holds 10 liters of gas, three cans would hold 30 because 10 times 3 is 30 plus the extra 5 liters in the remaining can
Answer:
7/10
Step-by-step explanation:
We have liters of gas, and we need to figure out how many cans we can fill.
Hint #22 / 4
We need to divide the 7 liters by the 10 liters that each can holds.
A right triangle △ABC with right angle C is inscribed in a circle. Find the radius of this circle if:
b
Given m∠C = 90°, k(O, r) inscribed in △ABC, AC = 18 cm, m∠B = 30°. Find r.
Answers
Answer:
The radius = 18 cm
Step-by-step explanation:
* Lets take about the inscribed triangle in a circle
- If the three vertices of a triangle lie on the circumference of a circle,
then this triangle is inscribed in the circle
- The vertices of the triangle are inscribed angles in the circle
- The inscribed angle opposite to a circle's diameter is always a
right angle (its measure is 90°)
- Now lets solve the problem
∵ Δ ABC is a right triangle at C
∴ m∠C = 90°
∵ Δ ABC is inscribed in a circle
∴ A , B , C lie on the circumference of the circle
∴ ∠A , ∠B , ∠C are inscribed angles in the circle
∴ m∠C = 90°
∵ ∠C is opposite to the side AB
∴ AB is the diameter of the circle ⇒ from the bold note above
∵ m∠B = 30°
∵ AC = 18 cm
- Lets use the trigonometry function to find the length of AB
* In Δ ABC
∵ AC is opposite to angle B
∵ AB is the hypotenuse
∵ sin Ф = opposite/hypotenuse
∴ sin B = AC/AB
∴ sin (30)° = 18/AB ⇒ using cross multiplication
∴ AB sin (30)° = 18 ⇒ divide both sides by sin (30)°
∴ AB = 18/sin(30)°
∵ sin(30)° = 1/2
∴ AB = 18/(1/2) = 36 cm
∵ AB is the diameter of the circle
∵ The length of the radius of a circle = 1/2 the length of the diameter
∴ The radius = 1/2 × 36 = 18 cm
Jason and Henry go to the movie theater and purchase refreshments for their friends.
Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn.
Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn.
Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answers
Answer:
Part 1) The system of equations is equal to
12x+y=66.75
3x+10y=82.50
Part 2) The cost of one drink is $5
Step-by-step explanation:
Part 1) Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn
Let
x----> the price of one drink
y ----> the price of one bag of popcorn
we know that
Jason
12x+y=66.75 -----> equation A
Henry
3x+10y=82.50 -----> equation B
Part 2) Using these equations, determine and state the price of a drink, to the nearest cent
12x+y=66.75 -----> equation A
3x+10y=82.50 -----> equation B
Solve the system of equations by elimination
Multiply the equation A by -10 both sides
-10*(12x+y)=66.75*(-10)
-120x-10y=-667.5 -----> equation C
Adds equation B and C and solve for x
3x+10y=82.50
-120x-10y=-667.5
-----------------------------
3x-120x=82.50-667.5
120x-3x=667.50-82.50
117x=585
x=5
therefore
The cost of one drink is $5
Which of the following are the factors of m2 – 14m + 48? A. (m + 6)(m + 8) B. (m – 12)(m + 4) C. (m – 12)(m – 4) D. (m – 6)(m – 8)
Answers
For this case we must factor the following expression:
[tex]m ^ 2-14m + 48[/tex]
We must look for two numbers that when multiplied give as a result "48", and when summed, give as a result "-12". These numbers are:
-6 and -8
[tex]-6 * -8 = 48\\-6-8 = -14[/tex]
So, we have:
[tex](m-6) (m-8)[/tex]
ANswer:
Option D
Answer:
Step-by-step explanation:
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A library has 15,000 fiction books and 8,800 nonfiction books.
Currently, 3/5 of the fiction books are checked out.
Currently 1/4 of the nonfiction books are checked out.
3/10 of the books that are checked out are due back this week.
How many books are due this week?
Answers
Answer:3360
Step-by-step explanation:
A machine assembly requires two pyramid-shaped parts. One of the pyramids has the dimensions shown in the figure. The other pyramid is a scaled version a
irst pyramid with a scale factor of 4. What is the volume of the larger pyramid?
A. 48 cubic units
B. 192 cubic units
C. 256 cubic units
D. 768 cubic units
Answers
Multiply the given dimensions by the scale factor of 4:
2 x 4 = 8
3 x 4 = 12
6 x 4 = 24
The volume of a pyramid is found by multiplying the Length x the width x the height and dividing by 3:
Volume = (8 x 12 x 24) / 3
Volume = 2304 / 3
Volume = 768 cubic units.
The answer is D.
The volume of the larger pyramid is 768 units³.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A machine assembly requires two pyramid-shaped parts.
Volume of the pyramid = 1/3 × base area × height
If the larger pyramid has a scale factor of 4, each dimension is 4 times this pyramid.3
Base area of the larger pyramid = (4 × 3) × (4 × 2)
= 96 units²
Volume of the larger pyramid = 1/3 × 96 × (6 × 4)
= 768 units³
Hence the required volume is 768 units³.
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Find the solutions to the equation below. Check all that apply. 30x^2-26x+4=0
A.x=1/2
B.x=1/5
C.x=4/5
D.x=1/3
E.x=3/5
F.x=2/3
Answers
Answer:
B. x = 1/5F. x = 2/3Step-by-step explanation:
[tex]30x^2-26x+4=0\\\\30x^2-20x-6x+4=0\\\\10x(3x-2)-2(3x-2)=0\\\\(3x-2)(10x-2)=0\iff3x-2=0\ \vee\ 10x-2=0\\\\3x-2=0\qquad\text{add 2 to both sides}\\\\3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}\\\\10x-2=0\qquad\text{add 2 to both sides}\\\\10x=2\qquad\text{divide both sides by 10}\\\\x=\dfrac{2:2}{10:2}\\\\x=\dfrac{1}{5}[/tex]
Factor completely 3x^4 - 3x ^3 - 18x ^2. Which of the following is one of the factors?
Answers
To factor the expression 3x^4 - 3x^3 - 18x^2 completely, factor out the GCF 3x^2, then factor the quadratic expression inside the parentheses (x^2 - x - 6) into (x - 3)(x + 2).
Explanation:To factor the expression 3x^4 - 3x^3 - 18x^2 completely, we can first factor out the greatest common factor (GCF), which in this case is 3x^2. This gives us 3x^2(x^2 - x - 6). To factor the quadratic expression inside the parentheses, we can use the quadratic formula or factor by grouping. The quadratic expression x^2 - x - 6 can be factored as (x - 3)(x + 2).
Therefore, the completely factored expression is 3x^2(x - 3)(x + 2).
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1) What is the slope of the trend line ?
2) what is the y-intercept for the trend line ? What is the real world meaning of this point?
Answers
Answer:
slope m=0.5, y-intercept b=5, the price of a 0 page book starts off at 5 and increases 0.5 every 50 pages
Step-by-step explanation:
point slope formula
[tex]y = mx + b[/tex]
choose a point on the line, I chose (2.00,6.00)
and b is the y-intercept at (0,5)
then plug those numbers in
[tex]6.00 = m2.00 + 5.00[/tex]
simplify & isolate the variable
[tex]6.00 - 5.00 = m2.00 + 5.00 - 5.00 [/tex]
[tex]1 = m2[/tex]
[tex]1 \div 2 = m2 \div 2[/tex]
solve for m
[tex]0.1 = m[/tex]
the y intercept is were the line crosses the y axis.
the y axis represents cost in dollars, the x axis represents number of pages
What is the equation of a line that passes through the point (2, 4) and has a y-intercept at y = -10?
Answers
Answer:
The equation of the line is y = 7x - 10
Step-by-step explanation:
* Lets revise the form of the equation
- The form of the equation of a line is y = mx + c , where m is the slope
of the line and c is the y-intercept
- The y-intercept means the line intersect the y-axis at point (0 , c)
- The slope of the line which passes through points (x1 , y1) , (x2 , y2)
is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
* Lets solve the problem
∵ The y-intercept is y = -10
∴ The line intersects the y-axis at point (0 , -10)
∵ The line passes through the points (2 , 4) and (0 , -10)
- Lets find the slope of the line using the rule of the slope above
∵ [tex]m=\frac{-10-4}{0-2}=\frac{-14}{-2}=7[/tex]
∴ The slope of the line is 7
∵ c is the y-intercept
∵ The y-intercept is y = -10
∴ c = -10
∵ y = mx + c
∴ y = 7x + -10
∴ y = 7x - 10
* The equation of the line is y = 7x - 10
Which of the following is the conjugate of 8 + 3r
Answers
Answer:
8-3r
Step-by-step explanation:
we know that
The conjugate is where we change the sign in the middle of two terms
In this problem
we have
8+3r
so
The conjugate is
8-3r
Answer:
8-3sqrt
Step-by-step explanation:
Paul is 2 meters tall. raymond is 6 feet tall who is taller?
Answers
Answer:
Paul is taller
2 meters is 6.5 feet.
Answer:Paul is taller the answer will be 6.5.
Step-by-step explanation:You had to convert the meters into feet to see which one will be taller.
Harold took a total 8 quizzes over the course of 2 weeks. How many weeks of school will Harold have to attend this quarter before he will have taken a total of 20 quizzes?
Answers
Answer:
5
Step-by-step explanation:
8 quizzes / 2 weeks = 20 quizzes / x weeks
Cross multiply:
8x = 40
Divide:
x = 5
Harold will have to attend 5 weeks.
What are the steps needed to solve the following problem:
(2x - 3)(x + 4) = -5?
Answers
Answer:
it is very simple -5 =(5)(-1)=(x+4)(2x-3).so compare( 5)=(x+4) and (x=1) it can be solved by mind.....(2x^2)+5x-7=0 then
These are the steps.
1. Write out the equation.
2. FInd any whole numbers and put them together and find any variables and put them together, both in parentheses.
3. Solve both equations in parentheses.
4. Divide -5 by 3 to find x. The answer is on step 5.
[tex]1. (2x - 3)(x + 4) = -5\\2. (-3 + 4)(2x + x) = -5\\3. (1)(3x) = -5\\4. 3x = -5\\5. x = -1.66[/tex]
A line segment has endpoints at 3,2 and 2,-3 which reflection will produce an image with endpoints at 3,-2 and 2,3
Answers
Answer:
The reflection is across the x-axis
Step-by-step explanation:
* Lets revise the reflection
- If point (x , y) reflected across the x-axis
∴ Its image is (x , -y)
- If point (x , y) reflected across the y-axis
∴ Its image is (-x , y)
- If point (x , y) reflected across the line y = x
∴ Its image is (y , x)
- If point (x , y) reflected across the line y = -x
∴ Its image is (-y , -x)
* Now lets solve the problem
∵ The endpoints of a line segment are (3 , 2) and (2 , -3)
∵ The image of the endpoints after the reflection are (3 , -2) and (2 , 3)
* Lets study the change
# The x-coordinates of the points are 3 and 2
# The x-coordinates of the images are 3 and 2
# The y-coordinates of the points are 2 and -3
# The y-coordinates of the images are -2 and 3
- The change is in the signs of the y-coordinates
∴ The reflection is across the x-axis
PLEASE ANSWER RIGHT AWAY
Answers
ANSWER
The explicit formula is :
[tex]a_n = 8+ 3(n - 1)[/tex]
EXPLANATION
The given sequence is
8,11,14,17,20,23,26,...
The first term is
[tex]a_1=8[/tex]
The common difference is
d=11-8
d=3
The explicit formula is given by:
[tex]a_n = a_1 + d(n - 1)[/tex]
We substitute the values to get,
[tex]a_n = 8+ 3(n - 1)[/tex]
Which number line shows the solutions to n < -3?
Ples help
Answers
The number line for the inequality n < -3 would have an open circle at -3 and be shaded to the left, representing all numbers less than -3.
When considering the inequality n < -3, the number line that represents the solutions to this inequality would show all the numbers that are less than -3. This means that any point to the left of -3 on the number line would be shaded to indicate that it is part of the solution set. Additionally, the number -3 would typically be represented with an open circle, indicating that -3 is not included in the set of solutions because the inequality is strictly less than, not less than or equal to.
If you were to graph this inequality on a number line, you would start at the point -3 and shade everything to the left of -3 going towards negative infinity. This visualization shows that n can take any value that is less than -3. Therefore, the number line for the solutions of n < -3 would look like a horizontal line with an open circle at -3 and a shaded region extending to the left from -3.
Name a container that you see at home that when filled has a liquid volume of about 1 liter.
Answers
Answer: flower vase
Step-by-step explanation:
A container that has a liquid volume of about 1 liter at home is typically a soda bottle. A liter is a metric unit of capacity and is equivalent to 1,000 cubic centimeters or milliliters, making it a convenient measure for everyday use.
An example of a container that you might find at home which, when filled, has a liquid volume of about 1 liter is a soda bottle. Liters and milliliters are metric units for measuring capacity. A liter is a convenient measure for everyday liquid volumes and is commonly used for beverages and other liquids in the home. Since a liter is equal to 1,000 milliliters, and taking into account that a juice box holds about 25 centiliters, which is 250 milliliters, a soda bottle's capacity is approximately four times that of a typical juice box. It's interesting to note that the liter can also be connected to cubic meters, as 1 liter is the same as 1,000 cubic centimeters (1,000 cm³), making these units interchangeable.