Answer: 5:12
Step-by-step explanation:
[tex]\displaystyle\\30:72=\\\\\frac{30}{72}=\\\\ \frac{6(5)}{6(12)}=\\\\ \frac{5}{12}=\\\\ 5:12[/tex]
Which scatterplots have a nonlinear association? Select three options 
The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.
Explain about the scatterplots?
The relationship between two economic phenomena, such as employment and output, inflation and retail sales, and taxes and economic growth, can be visually illustrated using scatter plots.
Spread Plots. Points on a scatter (XY) plot depict how two sets of data relate to one another. Each dot in this illustration represents a person's weight in relation to their height. (The information is displayed as "Cartesian (x, y) Coordinates")
Display a connection between the data and a trend. Display all data points, including outliers, minimum, and maximum values. can draw attention to relationships. the sample size and exact data values are retained.
To learn more about scatterplots refer to:
https://brainly.com/question/6592115
#SPJ9
Choosing which types of assets you will invest in is known as
John runs each lap in 7 minutes. He will run at most 35 minutes today. What are the possible numbers of laps he will run today?Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer: At most 5 laps.
Step-by-step explanation:
N= # of laps
7mins times the number of laps= 7N
35 mins= at most
[tex]7n\leq 35\\\\\frac{7n}{7} \leq \frac{35}{7} \\\ \ \ \ n\ \leq \ 5[/tex]
Your friend says two different translations of the graph of the parent linear function can result in the graph of
f(x) = x - 2. Is your
friend correct? Explain.
Your friend claims that the graph of f(x) = x - 2 can be produced by two distinct translations of the graph of the parent linear function. The graph moves down by 2 units.
Given that,
Your friend claims that the graph of f(x) = x - 2 can be produced by two distinct translations of the graph of the parent linear function.
We have to find how much units the graph moves.
This linear equation's parent function is y=x.
The way your friend described this function wasn't exactly accurate.
If the function's transformation takes the form y=f(x)+c, the graph will move vertically up or down along the y-axis depending on the value of c.
The graph moves up if c>0.
The graph drops down if c>0.
When y=x-2 and y=f(x)+c are compared, we see that c = -2, which is smaller than 0, in the equation y=x-2.
Therefore, the graph moves down by 2 units.
To learn more about equation visit: https://brainly.com/question/17267403
#SPJ1
Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes. Find the number he has of each kind.
Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes. Then Number of dimes =18
and Number of nickels =27
What is basic algebra ?Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.
Given that : Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes
Let d be the number of dimes
d + 9 = Number of nickels
A dime = 0.1
nickle is = 0.05
0.1d + 0.05d + 0.45 = 3.15
0.15d = 2.7
d = 18
Number of dimes =18
Number of nickels = 18 + 9
=27
To learn more about basic algebra visit :
brainly.com/question/15167098
#SPJ13
After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form?
How can the square-root property be used to solve y2=6
Given the expression:
[tex]y^2=6[/tex]The first step to solve it using the square root property, is moving the coefficient on the right side of the equation to the left side, changing it's sign:
[tex]\begin{gathered} y^2=6 \\ \Rightarrow y^2-6=0 \end{gathered}[/tex]Now, remember the rule for conjugates:
[tex](a+b)(a-b)=a^2-b^2[/tex]in this case we have the following:
[tex]\begin{gathered} y^2=a^2 \\ \Rightarrow y=a \\ b^2=6 \\ \Rightarrow b=\sqrt[]{6} \end{gathered}[/tex]therefore, we can factor the expression like this:
[tex]\begin{gathered} y^2-6=0 \\ \Rightarrow(y-\sqrt[]{6})(y+\sqrt[]{6})=0 \end{gathered}[/tex]Finally, we have that the only values that make true the expression are:
[tex]\begin{gathered} y_1=\sqrt[]{6} \\ y_2=-\sqrt[]{6} \end{gathered}[/tex]HELP PLEASE GIVING BRAINLIEST TO ONLYRIGHT ANSWER
Which graph shows a proportional relationship between x and y?
The graph C shows the proportional relationship between x and y.
What is meant by the term proportional relationship?A proportional relationship is defined as "y varies proportionally with x" or "y is directly proportional to x."
This implies that as x increases, y increases, and vice versa—and that the ratio among them always remains constant.The proportional relationship equation's graph is a straight line that follows the origin.Proportional relationships always are represented by equations of the form y=kx, in which k is the proportionality constant. That is, the connection between x and y always is multiplicative, with no additions or subtraction.For the given question;
The graph of the proportional relationship are given.
For the graph C, the relation tween x and y is said to be proportional because when the value of x increases the value of y decreases and also this line passes from the origin.
Thus, the graph C shows the proportional relationship between x and y.
To know more about the proportional relationship, here
https://brainly.com/question/12242745
#SPJ13
sncidc dslkjfdmqw;vkjjiofrceasZXsdZdcweiaubbciqeu
Solve the triangle.
a= 10.0 ft, b= 11.0 ft, c = 13.0 ft
What is the measure of angle A?
A=⁰
(Round to two decimal places as needed.)
What is the measure of angle B?
B =°
(Round to two decimal places as needed.)
What is the measure of angle C?
c=°
(Round to two decimal places as needed.)
...
Answer:
Below in bold.
Step-by-step explanation:
Using the Cosine Rule:
a^2 = b^2 + c^2 - 2bc cos A
10^2= 11^2 + 13^2 -2.11.13 cos A
cos A = (11^2 + 13^2 - 10^2) / (2*11*13)
= 0.66434
m < A = 48.368 degrees
= 48.37 degrees to 2 D. P's.
By the Sine Rule:
a / sin A = b / sin B
10 / sin 48.368 = 11 / sin B
sin B = 11 * sin 48.368 / 10
= 0.82217
m < B = 55.303
= 55.30 degrees to 2 D,P's
So, m < C = 180 - 48.37 - 55.30
= 76.33 degrees
I know the answer is 16 but can someone show me the steps as to how to get the answer? Also, we have not learned the l'hospital rule yet, so is there other way?
[tex]\lim_{n \to \\\pi /4} \frac{sec^4x-4}{x-\frac{\pi }{4} }[/tex]
The value of the given function, [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } }[/tex], found using L'Hospital's rule is; [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } = 16}[/tex]
What does L'Hospital's rule state?L'Hospital's rule states that if the limits [tex]\displaystyle{ \lim \limits_ {x \rightarrow c}f(x)} [/tex] = [tex]\displaystyle{ \lim \limits_{x \rightarrow c}g(x)} [/tex]= 0 or [tex]\pm \infty[/tex], g'(x) ≠ 0 for all x in I and x ≠ c, also, [tex]\displaystyle{ \lim \limits _ {x \rightarrow c}\frac{f ' (x)}{ g ' (x)} } \: exists, \: then;[/tex]
[tex]\displaystyle{ \lim \limits _ {x \rightarrow c}\frac{f (x)}{ g (x)} =\lim \limits _ {x \rightarrow c}\frac{f ' (x)}{ g ' (x)} } [/tex]
The given function is [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } }[/tex]
According to L'Hospital's rule, we have;
Where;
f(x) = sec⁴x - 4
[tex] \displaystyle g(x) = x - \frac{\pi}{4} [/tex]
[tex] \displaystyle f'(x) = \frac{4\cdot sin(x)}{cos^5(x)} [/tex]
g'(x) = 1
Therefore;
[tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} }= \frac{ \frac{4\cdot sin(x)}{cos^5(x)}}{1}=\frac{4\cdot sin(\frac{\pi}{4})}{cos^5(\frac{\pi}{4})} = 16}[/tex]
Learn more about L'Hospital's rule and finding the limits of a function here;
https://brainly.com/question/28170672
#SPJ1
pls pls help whoever gets it right gets marked brainliest
PLEASE HELP QUICKLY!! WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
Answer:
Grade A: 0.2
Grade B: 0.3
Grade C: 0.2
Grade D: 0.15
Grade F: 0.15
Step-by-step explanation:
You take the number of the grade and divide that by the total. The total is 20. A 4/20 = 0.2
Grade B 6/20 = 0.3 and so on
Answer:
For part b. its grade D so it says how much right so I think u need to times it or divide it or so sorry if this doesn't help u
The total cost (in dollars) to bowl n games is represented by C(n)=4.5n+2.5 . The shoe rental price increases 0.50. The new total cost is represented by T(n)=C(n)+0.5 . Describe the transformation from the graph of C to the graph of T .
In graphical representation it will get displaced by 0.5 units in x-axis.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
various Transformations are :
The answer choices would ask us to consider some combination of the following transformations:
reflection across the y-axis: (x, y) ⇒ (-x, y)
reflection across the x-axis: (x, y) ⇒ (x, -y)
reflection across the line y=x: (x, y) ⇒ (y, x)
clockwise rotation 90°: (x, y) ⇒ (y, -x)
positive rotation 270°: (x, y) ⇒ (y, -x) . . . same as 90° CW
translation by (h, k): (x, y) ⇒ (x+h, y+k) . . . h units right, k units up
Here, The shoe rental price increases 0.50 that is the new total cost is represented by T(n)=C(n)+0.5, which is 0.5 greater then old price equation that is C(n)=4.5n+2.5 :
Now, In graphical representation it will get displaced by 0.5 units in x-axis.
Learn more about translation and reflection here: brainly.com/question/27387076
#SPJ1
if 4 tickets costs$40, how much does 8 tickets cost?
4 tickets----------------------------->$40
8 tickts------------------------------->$x
Using cross multiplication:
[tex]\begin{gathered} \frac{4}{8}=\frac{40}{x} \\ x=\frac{40\times8}{4} \\ x=80 \end{gathered}[/tex]8 tickets cost $80
21Select all the correct answers.Which of the following transformations always creates congruent figures?translationsrotationsdilationsreflectionsResetSubmit
Rigid transformations, are transformations of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations. In a rigid transformation the pre-image and image are always congruent
Therefore, the answer is:
translations
rotations
reflections
At a middle school 2 out of 5 students Participate in the science fair if they’re are 800 students how many students will be excepted to participate at the fair
3. Use the equation V = abc where a = 5, b = 10, c = 3 to find the value of V.Show your work here:Choose the correct answersV = 120V = 50V = 150V = 60
Solution
[tex]V=abc[/tex]Where
[tex]\begin{gathered} a=5 \\ b=10 \\ c=3 \end{gathered}[/tex]Now,
[tex]\begin{gathered} V=abc \\ V=(5)(10)(3) \\ V=150 \end{gathered}[/tex]Therefore, V = 150
The measure of an angle is 136.8° more than the measure of a supplementary angle. What is the measure of each angle?
If the measure of an angle is 136.8 degrees more than the measure of a supplementary angle, then the measure of each angles are 21.6 degrees and 158.4 degrees
The supplementary angles are the angles whose measure add up to 180 degrees.
If x and y are supplementary angles
x + y = 180 degrees
Here the measure of an angle is 136.8 degrees more than the measure of supplementary angle.
So one angle will be x and other angle will be x+136.8
Then the equation will be
x + x+136.8 = 180
2x+136.8 = 180
2x = 43.2
x = 43.2/2
x = 21.6 degrees
Other angle is
21.6+136.8 = 158.4 degrees
Hence, if the measure of an angle is 136.8 degrees more than the measure of a supplementary angle, then the measure of each angles are 21.6 degrees and 158.4 degrees
Learn more about supplementary angle here
brainly.com/question/18164299
#SPJ1
Suppose that z varies jointly with x and y. When x=5 and y=4, z=12.
a) Write an equation that models the relationship.
b) Find z when x=15 and y=2.
For z varies jointly with x and y. When x=5 and y=4, z=12.
a. Equation that models the relationship is z=(3/5)xy.
b. When x=15 and y=2 then z=18.
As given,
a. Equation that models relationship z varies jointly with x and y is:
z is directly proportional to product of x and y
⇒z∝ xy
⇒z=k xy
where k is symbol of proportionality.
When x=5 and y=4, z=12
12=k(5× 4)
⇒k=12/(5× 4)
⇒k=3 /5
Hence, z=(3/5)xy
b. When x=15 and y=2
z=(3/5)×15×2
=18
Therefore, for z varies jointly with x and y, when x=5 and y=4, z=12.
a. Equation that models relationship is z=(3/5)xy.
b. When x=15 and y=2 then z=18.
Learn more about equation here
brainly.com/question/10413253
#SPJ1
anyone knows this??
Answer:
the answer is B 40 because∆ABC is a triangle
Which of the following could be a real-world description of the quantity three times x end quantity divided by 8?
A. The cost of a pizza split by 8 people plus a $3 tip
B.The cost of a pizza plus a $3 tip divided by 8 people
C. The cost per pizza for 3 pizzas divided by 8 people
D. The cost per pizza for 8 pizzas divided by 3 people
Answer:
C. The cost per pizza for 3 pizzas divided by 8 people
Step-by-step explanation:
This is the only answer where you are multiplying by 3 and dividing by 8
The following table shows the monthly flow through a dam from October through April.
Solution:
Given the data below:
A) Mean monthly flow:
The mean monthly flow is evaluated as
[tex]\begin{gathered} \frac{total\text{ volume}}{total\text{ number of months}}=\frac{92+133+239+727+345+495}{6} \\ =\frac{2031}{6} \\ =338.5 \end{gathered}[/tex]Thus, the mean monthly flow is 338.5 KAF
B) Median monthly flow:
The median is evaluated as
[tex]undefined[/tex]Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey. How many graduates from University A had an income under $20,000?
Income University A University B
Under $20,000 35 40
$20,000 to $39,999 90 63
$40,000 and over 35 37
Group of answer choices
a.35
b.90
c.160
d.75
The percentage of graduates from University A having income under $20,000 is 22%.
Percentage may be defined as the fraction which we get after dividing an entity from total number multiplied by 100. We have the total number of students in university A as 160. Now, we divide 35 that is the number of students who have an income under $20,000 in university A by 160 that is the total number of students in university A. We get the percentage as
P = (35/160) × 100
P = 0.218 × 100
P = 21.9 %
rounding off to nearest we get percentage as 22 %.
To learn more about income visit:
brainly.com/question/25745683
#SPJ1
Solve the system by substitution.
a + b - 2c = 14
4b + c = -1
C = -5
Answer:
a = 3 ; b = 1 ; c = -5
Step-by-step explanation:
Solving system of equations by substitution method:a +b - 2c = 14 -----------------------------(I)
4b + c = -1 -----------------------------(II)
c = -5 ------------------(III)
Substitute c = -5 in equation (II) and find the value of 'b',
4b + (-5) = -1
4b = -1 + 5
4b = 4
b = 4 ÷ 4
[tex]\sf \boxed{b = 1}[/tex]
Substitute c = -5 and b = 1 in equation (I)
a + 1 - 2*(-5) = 14
a + 1 + 10 = 14
a +11 = 14
a = 14 - 11
[tex]\sf \boxed{a = 3 }[/tex]
Verification:a + b - 2c = 14
LHS = a + b - 2c
= 3 + 1 - 2*(-5)
= 3 + 1 + 10
= 14 = RHS
Hence verified.
Answer:
(3, 1, - 5 )
Step-by-step explanation:
a + b - 2c = 14 → (1)
4b + c = - 1 → (2)
c = - 5 → (3)
substitute c = - 5 into (2)
4b - 5 = - 1 ( add 5 to both sides )
4b = 4 ( divide both sides by 4 )
b = 1
substitute b = 1 and c = - 5 into (1)
a + 1 - 2(- 5) = 14
a + 1 + 10 = 14
a + 11 = 14 ( subtract 11 from both sides )
a = 3
solution is (3, 1, - 5 )
as a check substitute values into (1) and (2)
a + b + c = 3 + 1 - 2(- 5) = 4 + 10 = 14 ← correct
4b + c = 4(1) - 5 = 4 - 5 = - 1 ← correct
Use two conditional statements to draw a conclusion using the law of syllogisms
if a quadrilateral is a square, then it has four right angles, then it is a rectangle.
a. if a quadrilateral has four right angles, then then it is a square
b. if a quadrilateral is a square, then it has four right angles
c. if a quadrilateral is a square, then it is a rectangle
Using the law of syllogism, the conclusion is given as follows:
c. if a quadrilateral is a square, then it is a rectangle.
Law of SyllogismThe Law of Syllogism is a logic axiom which states that if the conditional statements p -> q and q -> r are true, the conditional statement p -> r is also true, basically applying the transitive property.
In the context of this problem, the statements are given as follows:
Statement p: Quadrilateral is a square.Statement q: Quadrilateral has four right angles.Statement r: Quadrilateral is a rectangle.Hence the conclusion is:
p -> r
Read as:
If p then r.
Replacing the statements, we have that:
If a quadrilateral is a square, then it is a rectangle.
Which means that option c is correct.
More can be learned about the law of syllogism at brainly.com/question/20725710
#SPJ1
3. Rhombus KLMN with vertices K(-3, 2), L(1, 4),
and N(-5, -2): (x,y) → (x, y-5)
M(-1,0)
The coordinates of KLMN after reflection along the y-axis is K'(3,2); L'(-1,4); M'(1,0); and N'(5,-2).
What is reflection?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection. The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.So, the coordinates of KLMN when reflected across the y-axis:
When reflected along the y-axis, the image of (x, y) is (-x,y).
Vertex K(-3,2image )'s after reflection along the y-axis is K' (3,2)After reflection along the y-axis, the image of vertex L(1,4) is L' (-1,4)Vertex M(-1,0image )'s after reflection along the y-axis is M' (1,0)Vertex N(-5,2image )'s after reflection along the y-axis is N' (5,-2)Therefore, the coordinates of KLMN after reflection along the y-axis is K'(3,2); L'(-1,4); M'(1,0); and N'(5,-2).
Know more about reflection here:
https://brainly.com/question/26642069
#SPJ13
The correct question is given below:
Given a rhombus KLMN with vertices K(-3,2), L(1,4), M(-1,0), and N(-5,-2). What would the coordinates of its image be when reflected across the y-axis?
A line has a slope of 0 and passes through the point (-13, -11). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y= - 11
Step-by-step explanation:
A line with a slope of 0 is a horizontal line, parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (- 13, - 11 ) with y- coordinate - 11, then
y = - 11 ← equation of line
Answer:
y = -11
Step-by-step explanation:
A line with slope as 0, is a horizontal line ( In other words parallel to x-axis).
There is no rise, only run.
Equation of the line is y = c.
y = -11
Can you help me with 8
Answer:
3= 95
a= 85
b=85
4=85
Step-by-step explanation:
Angles on a line add up to 180°
Corresponding angles are equal.
help plss its due today. the assignment is about equlvalent fractions and decimals
Answer: 87
Step-by-step explanation:
You would do 26/30 which gives 86.6666666 but we round up to 87
Answer:
0.86666...
Step-by-step explanation:
26/30=0.86666...
rounded to the nearest tenth is
0.9
