The number of servings of juice in the bottles on the shelf is 135
How to determine the number of servings of juice in the bottles on the shelf?From the question, we have the following parameters that can be used in our computation:
Bottles = 9
Serving of juice per bottle = 15
This means that
The number of servings of juice in the bottles on the shelf = Bottles x Serving of juice per bottle
So, we have
The number of servings of juice in the bottles on the shelf = 9 * 15
Evaluate
The number of servings of juice in the bottles on the shelf = 135
Hence, the servings is 135
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Complete question
There are 9 bottles of juice on a shelf. Each serving of juice is 15 of a bottle.
How many servings of juice are there in the bottles on the shelf?
Help I need a formula to know what I am doing
Answer:
2((2x+2)+3x)=124 units
Step-by-step explanation:
We know that the formula for perimeter is 2(b+h) and since we know this, we just substitute the values for this and solve.
Sasha put $3,500 into a savings account that earns 2.3% annual compound
interest If she makes no other deposits or withdrawals, what will her balance be after 12 years ? Round to the nearest cent. SHOW ALL WORK TO RECEIVE CREDIT.
Sasha's balance after 12 years, if she makes no other deposits or withdrawals would be $ 4, 598. 07
How to find the balance ?Sasha's balance after 12 years will be the future value of her savings after 12 years at a rate of 2. 3% per year.
This future value can be found by the formula :
Amount after 12 years = Amount deposited by Sasha x ( 1 + annual compound interest ) ^ number of years
= 3, 500 x ( 1 + 2 .3 % ) ¹²
= 3, 500 x 1.3137344983996021269289886802331
= $ 4, 598. 07
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For the following, find the arc length:
(Use pi=3.14 and round your final answer to the hundredths.)
X=
[tex]\textit{arc's length}\\\\ x = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=10\\ \theta =\frac{\pi }{3} \end{cases}\implies x=10\cdot \cfrac{\pi }{3}\implies x\approx 10.47[/tex]
For each of these relations on the set (1,2,3,4), decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive. a) {(2,2), (2,3), (2,4), (3,2), (3,3), (3,4)) b) {(1,1), (1,2), (2,1), (2,2). (3,3), (4,4)} c) {(2,4), (4,2)) d) {(1,2), (2,3), (3,4)} e) {(1,1), (2,2), (3,3), (4,4)} f) {(1,3), (1,4), (2,3), (2,4), (3,1), (3,4)}
Relations on the set (1,2,3,4), decide whether it is reflexive, whether it is symmetric, whether it is anti symmetric, and whether it is transitive.
Given :
a )
= { ( 2, 2 ),( 2, 3 ),( 2, 4 ),( 3, 2 ),( 3, 3 ) ,( 3, 4 ) }
Not reflexive because we do not have (1, 1), (3, 3), and (4, 4).
Not symmetric because while we we have (3, 4), we do not have (4, 3).
Not anti symmetric because we have both (2, 3) and (3, 2).
Transitive because if we have (a, b) in this relation, then a will be either 2 or 3. Then (2, c)
b )
{(1, 1),(1, 2),(2, 1),(2, 2),(3, 3),(4, 4)}
Reflexive because (a, a) is in the relation for all a = 1, 2, 3, 4.
Symmetric because for every (a, b), we have a (b, a).
Not antisymmetric because we have (1, 2) and (2, 1).
Transitive because while we have (1, 2) and (2, 1), we also have (1, 1) and (2, 2) in the relation.
c )
{(2, 4),(4, 2)}
Not reflexive because we do not have (a, a) for all a = 1, 2, 3, 4.
Symmetric because for every (a, b), we have a (b, a).
Not antisymmetric because we have both (2, 4) and (4, 2).
Not transitive because we are missing (2, 2) and (4, 4)
d )
{(1, 2),(2, 3),(3, 4)}
Not reflexive because we do not have (a, a) for all a = 1, 2, 3, 4.
Not symmetric because we do not have (2, 1),(3, 2), and (4, 3).
Antisymmetric because for every (a, b), we do not have a (b, a).
Not transitive because we do not have (1, 3) for (1, 2) and (2, 3)
e )
{(1, 1),(2, 2),(3, 3),(4, 4)}
Reflexive because we have (a, a) for every a = 1, 2, 3, 4.
Symmetric because we do not have a case where (a, b) and a 6= b.
Antisymmetric because we do not have a case where (a, b) and a 6= b.
Transitive because we can satisfy (a, b) and (b, c) when a = b = c.
f )
{(1, 3),(1, 4),(2, 3),(2, 4),(3, 1),(3, 4)}
Not reflexive because we do not have (a, a) for all a = 1, 2, 3, 4.
Not symmetric because the relation does not contain (4, 1), (3, 2), (4, 2), and (4, 3).
Not antisymmetric because we have (1, 3) and (3, 1).
Not transitive because we do not have (2, 1) for (2, 3) and (3, 1).
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Jason is a high school basketball player. He made some free throws (worth one point each) and some two-point shots in a particular game. Jason made a total of 13 photos altogether and scored a total of 20 points. Write a system of equations that could be used to determine the number of free throws Jason made and the number of two-point shots he made. Define the variables that you use to write the system.
Answer:
Let x be the number of free throws Jason made, and y be the number of two point shots he made.
The system of equations will be
x+ 2y = 20x+2y=20
x + y = 13x+y=13
Solving these using elimination method we get,
x + 2y = 20x+2y=20
----------------------------
y = 7y=7
x = 6⇒x=6
The number of free throws Jason made are 6, and the number of two point shots he made are 7.
Compute mean for list of values and return mean for python
Python is a dynamic, high-level, free open source, and interpreted programming language.
What are basics of Python?So let's begin by looking at them:Properties. Python is implicitly and dynamically typed, so you do not have to declare variables. ...Data types. Let's move ahead to data types. ...Strings. Let's move on to strings. ...Flow control statements. ...Functions. ...Classes. ...Exceptions. ...File I/O.Python 3 was used for the above code.Each function in the above code is defined starting with the keyword def, the name of the function (mean, median, mode, main) and a pair of parentheses containing the parameter.The various defined functions in the module are saved as stats.py in the text editor.#definition of "median" function
def median(list):
#checking median condition to make sure the list returns zero if empty
if len(list) == 0:
return 0
#sort the list
list.sort()
#find middle element
mid = len(list) / 2
#check the condition
if len(list) % 2 == 1:
return list[mid]
else:
return (list[mid] + list[mid - 1]) / 2
#definition of "mean" function
def mean(list):
#checking mean condition to make sure the list returns zero if empty
if len(list) == 0:
return 0
#sort the list
list.sort()
#set the value
total = 0
#initiate a for loop
for num in list:
#then we calculate the total
total += num
#return the value
return total/ len(list)
#definition of "mode" function
def mode(list):
#checking mode condition to make sure the list returns zero if empty
if len(list) == 0:
return 0
#declare the variable
num_Dictionary = {}
#check the condition
for digit in list:
num = num_Dictionary.get(digit, None)
if num == None:
num_Dictionary[digit] = 1
else:
num_Dictionary[digit] = num + 1
#getting the maximum value
max_Value = max(num_Dictionary.values())
mode_List = []
for k in num_Dictionary:
if num_Dictionary[k] == max_Value:
mode_List.append(k)
return mode_List
#definition of main function
def main():
#set the list
num_list = [7, 4, 8, 10, 9]
#call the "mean" function with a parameter
print ("Mean of the given list: ", mean(num_list))
#call the "mode" function with a parameter
print ("Mode of the given list:", mode(num_list))
#call the "median" function with a parameter
print ("Median of the given list:", median(num_list))
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B. Find an equivalent fraction of 3/4 and 9 is numerator
Answer:
9/12
Step-by-step explanation:
The easiest way to do this would to multiply the numerator and the denominator.
We need to find out how to get the numerator (3) to 9.
We can do this equation.
3 × 3 = 9
Now that we have multiplied the numerator by 3, we now need to multiply the denominator by 3.
4 × 3 = 12
The new fraction is 9/12.
help needed proportional relationship easy
The total cost of fencing a square park at rupees 20 per meter are rupees
2880. Find the side of the square park.
The side of square park, whose fencing costed Rs 2880 is 36m.
What is a square?
A quadrilateral with four equal sides is called a square. There are numerous items in our environment that have a square shape. Equal sides and internal angles that are both 90 degrees distinguish each square shape. Let's find out more about a square's characteristics, mathematics, and design.
We know perimeter of a square of side 'a' is 4a
Therefore, the cost of fencing a square park at Rs 20/meter would be equal to
= Rs(20*4a)
= Rs 80a
Given, the cost of fencing = Rs 2880
Thus, 80a = 2880
⇒ a = 2880/80
⇒ a = 36
Thus, the side of square park, whose fencing costed Rs 2880 is 36m
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Find the z* values based on a standard normal distribution for an 86% confidence interval for a proportion, for a 78% confidence interval for a mean.
The z values are-
confidence interval 86 % = 1.0confidence interval 78% = 0.8Describe the term confidence interval?The likelihood that a parameter might fall between two values near the mean is shown by a confidence interval.Confidence intervals quantify when certain or uncertain a survey method is.They are also utilized in regression analysis and hypothesis testing.P-values and confidence intervals are commonly used by statisticians to determine statistical significance.They are often built with 95% or 99% confidence levels.Although they are related, confidence level and confidence interval are not the same thing.Obtain the z values from the t-distribution table for 0.86 and 0.78 confidence interval.
confidence interval 86 % = 1.0confidence interval 78% = 0.8To know more about the confidence interval, here
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Based on the definition advocated by the class reading, which of the following would be an example of fake news? A New York Times reporter isn't very good at her job, and ends up publishing an article containing several important factual errors A popular web-based news site publishes an op-ed that is hopelessly biased and poorly argued The Onion publishes a satirical, comedic story making fun of President Trump. Nothing in the story is remotely true. In order to increase applications, GSU knowingly creates and disseminates a false but realistic-looking news article talking about how great the parking situation here on campus is Your uncle writes a long blog post repeating rumors he heard online that Kim Kardashian is actually a lizard person sent here by an alien race to destroy humanity.
The Onion publishes a satirical, comedic story making fun of President Trump. Nothing in the story is remotely true
False information is presented as fake news. This is bogus news since the onion published a satirical fictional report about President Trumb. GSU fabricates false, deceptive information, often known as false news. False news is not defined as news that has factual inaccuracies.
GSU intentionally produces and disseminates a phony but plausible-looking news item touting the excellent parking situation on campus in an effort to boost applicants.
The term "fake news" describes news sources that pose as authentic while actually being false. It frequently aims to make money from advertising or to harm someone's or an organisation's reputation.
By purposefully fabricating and spreading a bogus but plausible-looking news article claiming how excellent the parking situation is on campus, GSU hopes to increase the number of applications. Which is false information that will cause people to come forward with job applications.
The Onion publishes a satirical, comedic story making fun of President Trump. Nothing in the story is remotely true
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Calculate the distance between the points C=(-9, 7) and Q=(-1, 3) in the coordinate plane. Round your answer to the nearest hundredth.
The distance between the points C = (-9, 7) and Q = (-1, 3) in the coordinate plane will be;
⇒ D = 10
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Two points on the coordinate plane are C = (-9, 7) and Q = (-1, 3).
Now,
Since, Two points on the coordinate plane are C = (-9, 7) and Q = (-1, 3).
Hence, The distance between the points C = (-9, 7) and Q = (-1, 3) in the coordinate plane will be;
⇒ D = √(3 - 7)² + (- 1 - (-9))²
⇒ D = √ (-4)² + (8)²
⇒ D = √36 + 64
⇒ D = √100
⇒ D = 10
Thus, The distance = 10
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write an equation of the passing through point p that is perpendicular to the given line .
p(3,1) y= 1/3x -5
Answer:
y = -3x + 10
Step-by-step explanation:
slope of perpendicular line = -3
y-1 = -3(x-3)
y-1 = -3x + 9
y = -3x + 9 + 1
y = -3x + 10
Two numbers when multiplied equals 63 if one number is x and the other number is greater than x by 2
a) represent the information given in equation form
b) express as a quadratic equation
c) solve the quadratic equation to find possible values of x
d) if told that the two numbers are positive numbers what are the values of the two original numbers?
The values of the two original numbers are 7 and 9.
Two numbers when multiplied equal 63 if one number is x and the other number is greater than x by 2.
As per the given phrase, the information given in equation form is as
x × (x + 2) = 63
It expresses as a quadratic equation:
x² + 2x - 63 = 0
Solve the quadratic equation to find possible values of x
x² + 9x - 7x - 63 = 0
x(x + 9) - 7(x + 9) = 0
(x + 9)(x - 7) = 0
(x + 9) = 0 and (x - 7) = 0
x = -9 and x = 7
Since we were told that the two numbers are positive numbers so take x = 7.
Thus, the values of the two original numbers are 7 and 9.
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Find the missing angles
m∠1=
m∠2=
m∠3=
m∠4=
m∠5=
Answer:
m1= 35
m2= 65
m3= 29
m4= 115
m5=65
Please help, I don't understand this.
Answer:
-0.3
Step-by-step explanation:
just sum -0.66x and 0.36x
Answer: -21
Step-by-step explanation:
To begin, we can combine like terms, -0.66 and 0.36 are coefficients with the same variable.
This gives us -0.66x+0.36x= -0.30x, and the equation becomes -0.30x=6.3.
Next, we can simply solve for x by dividing 6.3 by -0.30, and that gives us x=-21.
What is the complete factorization of the polynomial below?
x³+3x²-x-3
O A. (x-1)(x-1)(x+3)
O B. (x+1)(x-1)(x+3)
OC. (x + 1)(x-1)(x-3)
O D. (x-1)(x-1)(x-3)
Given that f(x)= 2x+8 g(x)= 5x-2/4 and h(x)= 2x+6/x
find
a) g[f(0)]
b) f(-5)
c) f[h(3)]
d) h°f(x)
e) h⁻¹(x)
The values of the functions g[f(0)]b) f(-5), f[h(3)], h°f(x) and h⁻¹(x) are 9.5, -2, 16, (4x+22)/x and 6/(x-2) respectively
How to find the g[f(0)] of the function?
A function is a relationship between inputs where each input is related to exactly one output
Given: f(x)= 2x+8, g(x)= 5x-2/4 and h(x)= 2x+6/x
(a) g[f(0)]
Substitute x = 0 into f(x)= 2x+8 to get f(0)
f(0) = 2(0)+8 =8
g[f(0)] = g(8)
Substitute x = 8 into g(x)= 5x-2/4 to get g[f(0)]
g[f(0)] = g(8)
g[f(0)] = 5x-2/4
g[f(0)] = 5(8)-2/4 = 9.5
b) f(-5)
Substitute x = -5 into f(x)= 2x+8 to get f(-5)
f(x)= 2x+8
f(-5)= 2(-5)+8 = -2
c) f[h(3)]
h(x)= 2x+6/x
h(3) = 2(3)+6/3 = 4
f[h(3)] = f[4]
f[4] = 2(4)+8 = 16
f[h(3)] = 16
d) h°f(x)
h°f(x) = h(2x+8)
Since h(x)= 2x+6/x
h°f(x) = 2(2x+8) +6/x
h°f(x) = 4x+16+6/x = (4x+22)/x
e) h⁻¹(x)
h(x)= 2x+6/x
Let y = 2x+6/x
x = 6/(y-2)
x = h⁻¹(y)
h⁻¹(x) = 6/(x-2)
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Express cos U as a fraction in simplest terms.
T
6
U
84
S
Answer:
cosU = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
cosU = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{TU}{ST}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
A coffeehouse charges a flat rate, r, for each hour a customer wants to use the Internet. write an equation to express the total cost, c, to use the Internet at the coffeehouse for t hours.
The equation to express the total cost, c, to use the Internet at the coffeehouse for t hours is c = rt.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the coffeehouse charges a flat rate, r, for each hour a customer wants to use the Internet. An equation to express the total cost, c, to use the Internet at the coffeehouse for t hours.
The equation will be:
c = r(t)
c = rt
where c = cost
t = number of hours
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what is
m=-(4+m)+2
thank you
The value of m in the equation m=-(4+m)+2 is -1.
How are linear equations solved step-by-step?
Clear decimals or fractions.Remove parentheses from each side of the equation and combine similar phrases to make it simpler.Remove the variable term from the equation's other side.Divide each side of the equation to find the solution.Verify your response.One of the easiest methods for resolving a system of linear equations is graphing. Simply plot each equation as a line on a graph and identify the point or points where the lines converge to find the value. These equations are simple to graph because they are already expressed in slope-intercept form.
m = -(4+m)+2
m = -4 -m + 2
m = -2 - m
m + m = -2
2m = -2
m = -1
Hence, the value of m in equation m=-(4+m)+2 is -1.
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Find the equation of the line passing through pl7, -2) and (5, 3).
The equation of the line passing through (7, -2) and (5, 3) is 5x + 2y - 31 = 0.
What is two point equation form?
The equation of a line in the coordinate plane can be expressed in two point form. Depending on the facts at hand, there are different ways to find a line's equation. One of the ways is the two-point form. When two locations along a line are known, this is used to determine the equation of the line. Slope intercept form, intercept form, point slope form, and others are crucial ways to describe a line equation.The equation of the line passing through two points is
(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)
Here, (x₁,y₁) ∈ (7, -2)
(x₂, y₂) ∈ (5, 3).
y - (-2) / 3 -(-2) = x - 7/ 5 - 7
(y + 2) / 5 = x-7 / -2
-2y - 4 = 5x - 35
5x + 2y - 31 = 0
Hence, the equation of the line passing through (7, -2) and (5, 3) is 5x + 2y - 31 = 0.
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Which equation represents the linear relationship between the x-values and the y- values in the table
The equation of a line that represents the table is y = 6x - 5.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
To obtain the linear equation first we need slope(m) = (y₂ - y₁)/(x₂ - x₁)
= (1 + 11)/(1 + 1) = 12/2 = 6.
Now, we'll take any one of these coordinate points and construct an equation in slope-intercept form,
- 11 = 6(-1) + b.
- 11 = - 6 + b.
b = - 5.
∴ y = 6x - 5 is our equation.
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Simplify and write the answer
(3x²y⁴)³
Answer:
27x^6y^12
Step-by-step explanation:
3^3×x^2(3)×y^4(3)
=27^6y^12
Graph the line with slope −2 and y-intercept −4
Can you also mark the two points on the graph.
Answer:
Below
Step-by-step explanation:
See image below:
How would this two triangles be called
TU ≅ QV, UV ≅ RS , and ST ≅ QR.
The triangles ΔSTU and ΔRQV are congruent triangles
What are congruent triangles?Two triangles are congruent if the three sides of one triangle are congruent to the three sides of the other triangle.
The parameters from the diagram includes;
Side [tex]\overline{TU}[/tex] in triangle ΔSTU is congruent to side [tex]\overline{QV}[/tex] in triangle ΔRQV
Segment [tex]\overline{UV}[/tex] is congruent to segment [tex]\overline{RS}[/tex]
[tex]\overline{UV}[/tex] ≅ [tex]\overline{RS}[/tex]
[tex]\overline{UV}[/tex] = [tex]\overline{RS}[/tex] By definition of congruency
Side [tex]\overline{ST}[/tex] in triangle ΔSTU is congruent to side [tex]\overline{QR}[/tex] in triangle ΔRQV
Segment [tex]\overline{RU}[/tex] is congruent to segment [tex]\overline{UR}[/tex], by reflexive property
[tex]\overline{RV}[/tex] = [tex]\overline{RU}[/tex] + [tex]\overline{UV}[/tex] by segment addition postulate
Similarly, [tex]\overline{SU}[/tex] = [tex]\overline{RU}[/tex] + [tex]\overline{RS}[/tex]
Therefore; [tex]\overline{SU}[/tex] = [tex]\overline{RU}[/tex] + [tex]\overline{UV}[/tex] (by substitution property)
[tex]\overline{RV}[/tex] = [tex]\overline{SU}[/tex] by substitution property
[tex]\overline{RV}[/tex] ≅ [tex]\overline{SU}[/tex] by definition of congruency
The three sides of the triangle ΔSTU are congruent to the three sides of the triangle ΔRQV, therefore;
The triangles ΔSTU and ΔRQV are congruent by Side-Side-Side, SSS, congruency postulate
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Value: 10
Which of the following equations represent exponential functions?
f(x)=2x²-3x+1
g(x)=0.875*
h(x)=1.75x+2
j(x)=1095.6-2x
Answer:
The first one, due to the x being raised to the power of 2
Step-by-step explanation:
The piecewise function h(x) is shown on the graph.
7
S
5
3
N
-7-6-5-4-3-2-1₁
-2-
7 ? 9 9 9 7
-6
23 4 5 6 7 X
What is the value of h(2)?
O-2
O -1
0
3
The value of the piecewise function h(x) at x = 2 is (b) -1
How to evaluate the piecewise functionFrom the question, we have the following parameters that can be used in our computation:
Part 1:
h(x) = x cubed for x less than negative 3
Part 2:
h(x) = 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4,
Part 3
h(x) = 5 times x plus 4, for x greater than or equal to 4
When the above statements are represented properly, we have the following equations
Part 1: h(x) = x³ for x < -3
Part 2: h(x) = 2x² - 9 for -3 ≤ x < 4
Part 3: h(x) = 5x + 4, for x ≥ 4
To calculate the function h(2), we use the domain -3 ≤ x < 4
So, we have the following function
h(x) = 2x² - 9
Substitute the known values in the above equation, so, we have the following representation
h(2) = 2(2)² - 9
Evaluate the expression
h(2) = -1
Hence, the value is (b) -1
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Complete question
The piecewise function h(x) is shown on the graph.
the function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4
What is the value of h(2)?
A Circle Has An Equation of (x - 5)^2 + (y - 1)^2 = 30. What Is The Center And Radius Of The Circle?
the center of the circle is at (5, 1) and the radius is approximately 5.48 units.
Why it is and what is perimeter of a circle?
The standard equation of a circle with center (a,b) and radius r is:
(x - a)²2 + (y - b)²2 = r²2
Comparing this equation to the given equation, we can see that the center of the circle is (5, 1) and the radius is the square root of 30. Therefore, the center of the circle is at (5, 1) and the radius is approximately 5.48 units.
The perimeter of a circle is also known as its circumference, and it can be calculated using the formula:
C = 2πr
where C is the circumference, r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.
Alternatively, you can also use the formula:
C = πd
where d is the diameter of the circle.
So if you know the radius or diameter of a circle, you can use either of these formulas to calculate its circumference (perimeter).
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A hiker maintains an average speed of 3 3 /4 km/h. How many kilometers will the hiker walk in 5 hours.
average speed = 3 3/4 km/h
In order to find how many kilometers the hiker will walk in 5 hours, you'll need to multiply the average speed by the hiker's hours.
[tex]3\dfrac{3}{4} \times5[/tex]
[tex]=\fbox{18.75 km}[/tex]