The ordered pair is in the solution set of -1.25x - 5y < 2.5 is (-1, 0) and (-1,0)
The function of -1.25x - 5y < 2.5
(A) (-4, 0.5)
The value of x = -4
The value of y = 0.5
-1.25(-4) - 5(0.5) < 2.5
5 - 2.5 < 2.5
2.5 < 2.5
Not true
(B) (1.5, 2)
The value of x = 1.5
The value of y = -2
-1.25(1.5) - 5(2) < 2.5
-1.875 + 10 < 2.5
8.125 < 2.5
Not true
(C) (-1, 0)
The value of x = -1
The value of y = 0
-1.25(-1) - 5(0) < 2.5
1.25 < 2.5
True
(D) (0,-1)
The value of x = 0
The value of y = -1
-1.25(0) - 5(-1) < 2.5
+5 < 2.5
Not true
To know more about ordered pair click here :
https://brainly.com/question/30805001
#SPJ1
Pls help with this basic geometry problem
Answer:
the answer is c
because when u add them that what it gives u
Answer:
A) m<L, m<K, m<J
Step-by-step explanation:
Triangle Congruence--
This means that the longest angle is always opposite the longest side,
and vice verse the shortest angle is always opposite the shortest side.
So in triangle JKL, the longest side is line KL (21). This means angle J, which is opposite KL is the longest. Furthermore, angle L, opposite line JK (13), is the smallest. This also concludes angle K is in the middle of the two, forming the sequence L, K, and then J (ascending order).
What’s the answer? Worth 20 pts!!
The correct statement regarding whether we can prove that the lines are parallel is:
Yes. Alternate Interior Angles Converse.
What are alternate interior angles?Alternate interior angles happen when there are two parallel lines cut by a transversal lines.
The two alternate exterior angles are positioned on the inside of the two parallel lines, and on opposite sides of the transversal line, and they are congruent.
The red sectors represents that the angles are alternate interior angles for the problem, hence the correct option is given as follows:
Yes. Alternate Interior Angles Converse.
More can be learned about alternate interior angles at brainly.com/question/26111088
#SPJ1
When solved, which expressions below will have a 1 in the
tenths place?
Select all that apply.
A) 24.321 x 100
B) 25.671 x 10
C) 96.51 x 10
D) 89.15 x 100
When solved, the expressions below that will have a 1 in the tenths place is A) 24.321 x 100 and C) 96.51 x 10
How can the expressions that will have a 1 in the tenths place be known?From the question we were told to find the the expressions that will have a 1 in the tenths place which implies that we will need to find the simplification of each expression by perforimgmultiplication operation on eaqch of the given expression which can be done as ;
The first option;
24.321 x 100 = 2432.1
The second option;
25.671 x 10 = 256.71
The third option;
96.51 x 10 = 965.1
The fifth option;
89.15 x 100 = 8915
We can see that in option A and option C that the have a 1 in the tenths place.
Learn more about expressions at:
https://brainly.com/question/22008475
#SPJ1
i need help. this is algebra 2 and im currently going “bootcamp for it*
A table of values for g(x) has been completed below;
x f(x) g(x)
-2 3 8
0 1 7
1 -4 1
3 -2 3
What is a translation?In Mathematics and Geometry, the translation a geometric figure upward simply means adding a digit to the value on the positive y-coordinate (y-axis) of the pre-image;
g(x) = f(x) + N
Since the parent function f(x) was translated 5 units up, we have the following transformed function;
g(x) = f(x) + 5
Therefore, the table of values should be completed as follows;
x f(x) g(x)
-2 3 8
0 1 7
1 -4 1
3 -2 3
Read more on function and translation here: brainly.com/question/31559256
#SPJ1
Please help, die tmrw. I need to know the percentage of shapes A,B,C,D,E, and F! Please, i need this quick!!!
Answer:
A=25%
B=6.25%
C=3.125%
D=12.5%
F=~12.5%
Step-by-step explanation:
they look like it
i cant read the letters so not sure.
if its by scale then im right
Answer:
Piece A- 25%
Piece B- 6.25%
Piece C- 3.125%
Piece D- 15.625%
Piece E- 37.5%
Piece F- 12.5%
Step-by-step explanation:
To find each shape's area as a percentage, each shape should be compared to the whole larger square, so we will first find the total area in the large square.
The question states that the square is 4cm x 4 cm, and using the equation for the area of a square, length x width, we know that the large square's area is 16cm squared.
Square A is 2cm long and 2cm wide, so similarly, we can use the length x width formula to get 4cm squared for its area. To find its percentage relative to the larger square, we must divide its area, 4, by the large square's area, 16. 4/16 = 0.25, which can be converted to a percentage by multiplying it by 100%. This means that piece A takes up 25% of the large square's area.
Square B is 1cm long and 1cm wide. Once again, we will multiply its length and width to get an area of 1cm squared. Again, we must divide this number by the total area of the large square. 1/16= 0.0625, or, after converting it to a percentage, 6.25%.
Piece C is triangular, and so we will use the formula for an area of a triangle instead: Base x height x 1/2. We know from seeing it above square B that its base is 1cm wide. It also ends vertically at square A. Because it starts after square B, which is 1cm long, and square A is 2cm long, we know that the triangle's height is 2cm - 1cm, or, 1cm long. The base multiplied by the height is 1, and dividing it by 2 gets us 1/2cm squared for its area. To find the percentage, we divide 1/2 by 16, which gives us 0.03125, or 3.125%.
Piece D is an irregular shape, however we can instead imagine it as two separate shapes- a square near the bottom and a triangle on top. The square section is 1cm wide, since the large square's side is 4cm and so far, squares A and B are lying on that side, taking up 3cm. it is also as tall as square B, making it 1cm long vertically. Using the formula for the area of a square, length x width, we know that the area of that section is 1cm squared.
The triangle section is right on top of it, making its base 1cm wide as well. The side of the triangle goes until the top of the large square, and because the square section already took up 1cm of the 4cm long side, we know that the triangle is 3cm tall. Using the area of a triangle formula, base x height x 1/2, we can multiply 1 x 3 x 1/2 to get an area of 3/2cm squared.
To find the total area of piece D, we then have to add the area of the square and triangle sections together. 1 + 3/2 = 5/2cm squared area total. Dividing 5/2 by 16 gets 0.15625, or 15.625% of the large square's area.
Piece E as well can be split up into a square and a triangle. The square section ends where square A ends, and takes up half of the large square's side, meaning it is 2cm wide and 2 cm long. Multiplying its length and width gets an area of 4cm squared.
The triangle also takes up half of the larger square's side horizontally and vertically, so it has a base and height of 2cm. Using the area of a triangle formula, base x height x 1/2, we can get 2 x 2 x 1/2, or 2cm squared for its area.
Adding the areas of the square and triangle sections, Piece E will have a total area of 6cm squared. Then, we divide that by 16, and 6/16= 0.375, or 37.5% of the large square's area.
Piece F is diagonal, so it is harder to tell the measurements of its base and height. however, we know that its sides are the hypotenuses of two other triangles we have measured. The hypotenuse is the longest side of a triangle, facing opposite of its 90 degree angle. If we name the hypotenuse "c" and the other two sides of the triangles "a" and "b", we can use the Pythagorean theorem, a^2+b^2=c^2, to find the lengths of Piece F.
For piece C, the base and height of the triangle are both 1cm, so if those are a and b, then 1^2+1^2=c^2, with c being the base of piece F. 1*1=1, so 1+1=c^2, making c^2=2. We can then isolate c by taking the square root of both sides, making c=[tex]\sqrt{2}[/tex].
We can do the same thing with the triangle taken from piece E, though this time a and b will both equal 2cm. If we plug those values into the equation, then 2^2+2^2=c^2. 2*2=4, so 4+4=c^2, or c^2=8. Taking the square root of both sides, we find that c=[tex]\sqrt{8}[/tex].
Basically, piece F has a base of [tex]\sqrt{2}[/tex]cm, and a height of [tex]\sqrt{8}[/tex]cm. We can plug those into the equation for the area of a triangle, base x height x 1/2, to get [tex]\sqrt{8}[/tex] x [tex]\sqrt{2}[/tex] x 1/2, or 2cm squared for the area of piece F. 2/16= 0.125, so piece F takes up 12.5% of the large square's area.
College Trigonometry Question. Any help would be appreciated
There is only one solution. The measurements of the angles are ;
B = 54. 6 degrees
C = 41. 6 degrees
Option B
How to determine the valueTo determine the value of the angle, we need to know the law of sines.
It is represented as;
sin A/a = sin B/b
Such that;
A and B are the anglesa and b are the sidesFrom the information given, we have;
sin 83.8/11.1 = sin B/9.1
cross multiply the values, we get
sin B = 9. 0467/11.1
Divide the values
sin B = 0. 8150
find the inverse
B = 54. 6 degrees
Note that the sum of the angles in a triangle is 180
C = 180 - 138. 4 = 41. 6 degrees
Learn more about law of sines at: https://brainly.com/question/27174058
#SPJ1
(c) Problem 17:
How far will the baseball have dropped after
4.5 seconds?
(first taught in
lesson 90)
Afton
After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.
To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.
The terms involved in this calculation are:
Time (t): 4.5 seconds.
Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
[tex]d = (1/2) \times g \times t^{2}[/tex]
Now, we will plug in the given values and solve for d:
Substitute the values
[tex]d = (1/2) \times 9.81 \times (4.5)^{2}[/tex]
Calculate the square of time
[tex]d = (1/2) \times 9.81 \times 20.25[/tex]
Multiply the values
d = 99.3525.
For similar question on free fall formula.
https://brainly.com/question/3522016
#SPJ11
Mr. Richardson is using a pump to drain the community pool. This function describes the depth of the pool, in feet, after x hours.
y = -0.6x + 4
What does the number 4 represent?
Answer:
the depth of the pool, in feet, before Mr. Richardson started draining it
Step-by-step explanation:
y = -0.5x + 4 is the in the slope-intercept form, whose general form is
y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is where the line intersects the x axis and in order to intercept the y-axis, x has to be 0.
Thus, when the y-intercept is 4, we know that x-value is automatically 4 and therefore Mr. Richardson's pool was already at a depth of 4 feet before the draining began.
The distance between City A and City B is 250 miles. A length of 1.7 feet represents this distance on a certain wall map. City C and City D are 4.42 feet apart on this map. What is the actual distance between City C and City D?
The actual distance between City C and City D is approximately 647.06 miles.
We can use the given information to determine the scale of the map, which relates distances on the map to actual distances in the real world. Let x be the actual distance between City C and City D in miles. According to the map, the distance between City C and City D is represented by 4.42 feet. We can write this relationship as:
250 miles / 1.7 feet = x miles / 4.42 feet
Solving for x, we get:
x = (4.42 feet * 250 miles) / 1.7 feet = 647.06 miles
The key concept used in this problem is the idea of scale. Maps are often drawn to a specific scale, which allows us to relate distances on the map to actual distances in the real world. In this case, we used the scale of the map to convert the distance between City C and City D on the map (measured in feet) to the actual distance between the cities (measured in miles).
To learn more about distance click on,
https://brainly.com/question/28888403
#SPJ1
John buys 100 shares of ABC Corporation at option pricing. The current price of the share is $12.00, and the strike price is $80. The option has to be exercised before the expiry of one month. The price of the stock increases to $120 and John exercises his option before the expiry date. What is John's position?
He gains $3,000
He loses $2,800
He gains $2,800
He loses $3,000
Which situation can be represented by this equation?
340+5x - 650 - 8x
Sierra started with 340 cans of food for a food drive. She collects 5 more cans every day.
Brian started with 650 cans of food for the food drive. He collects 8 more cans every day.
What is x, the number of days that need to pass in order for Sierra and Brian to have the
same number of cans of food?
Sierra has a bucket that originally contained 340 fl oz of water and is being filled at a rate
of 5 fl oz per minute. Brian has a bucket that originally contained 650 fl oz of water and is
being drained at a rate of 8 fl oz per minute. What is x, the number of minutes that need
to pass in order for the two buckets to contain the same amount of water?
Sierra earns 345 points on each level of a video game. Brian earns 642 points on each
level of the same video game. What is x, the number of levels that Sierra and Brian would
have to play in order for them to have an equal number of points?
Sierra started with savings of $340 and spends $8 of her savings every week. Brian
started with savings of $650 and adds $5 to his savings every week. What is x, the
number of weeks that need to pass in order for Sierra and Brian to have the same amount
of savings?
Answer:
Step-by-step explanation:
The situation that can be represented by the given equation 340 + 5x - 650 - 8x is:
Sierra started with savings of $340 and spends $8 of her savings every week. Brian started with savings of $650 and adds $5 to his savings every week. The equation represents the difference in savings between Sierra and Brian after x weeks. The term "340 + 5x" represents the total savings of Sierra after x weeks, where she starts with $340 and adds $5 per week. The term "- 650 - 8x" represents the total savings of Brian after x weeks, where he starts with $650 and subtracts $8 per week. By equating the two expressions, we can find the value of x, which represents the number of weeks needed for Sierra and Brian to have the same amount of savings.
pls help please i need this
Which of the following steps is needed to inscribe a circle in a triangle?
Find the incenter of the triangle
Find the circumcenter of the triangle
Find the orthocenter of the triangle
Find the centroid of the triangle
Answer:
Find the incenter of the triangle
Step-by-step explanation:
Step 1: We draw angle bisectors for 2 angles and mark their intersection.
Step 2: Next, we drop a perpendicular line from the incenter of the circle to one edge of the triangle.
2. Over the course of five weekdays, one mining stock on the Toronto Stock Exchange (TSX) closed
at $4.28 on Monday, closed higher at $5.17 on Tuesday, finished Wednesday at $4.79, and shot up
to close at $7.15 on Thursday, only to finish the week at $6.40.
a) What is the net change in the value of this stock for the week?
b) Determine the total change in the value of the stock.
Net change is the difference
between a prior trading
period's closing price and the
current trading period's
closing price.
The net change in the value of this stock for the week is $2.12.
The total change in the value of the stock is $4.38.
We have,
a)
The net change in the value of the stock for the week is the difference between the closing price on Monday and the closing price on Friday.
Net change expression.
= $6.40 - $4.28
= $2.12
b)
The total change in the value of the stock is the sum of the absolute changes from day to day.
Total change expression.
= |$5.17 - $4.28| + |$4.79 - $5.17| + |$7.15 - $4.79| + |$6.40 - $7.15|
= $0.89 + $0.38 + $2.36 + $0.75 = $4.38
Thus,
The net change in the value of this stock for the week is $2.12.
The total change in the value of the stock is $4.38.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Which will have a higher effective interest rate, a payday loan for $2300 due in
15 days with a fee of $120 or a payday loan for $2300 due in 13 days with a
fee of $120?
OA. A payday loan for $2300 due in 15 days with a fee of $120,
because it has the longer period
OB. A payday loan for $2300 due in 13 days with a fee of $120,
because it has the shorter period
OC. A payday loan for $2300 due in 13 days with a fee of $120,
because it has the longer period
OD. A payday loan for $2300 due in 15 days with a fee of $120,
because it has the shorter period
A payday loan for $2300 due in 13 days with a rate of $120, because it has the shorter period and this will have a higher effective interest rate, Therefore option B is correct.
The effective interest rate (EIR) takes into account the whole value of the loan such as fees and the period of the loan.
In this situation, both loans have the equal rate of $120, so the full price is the same.
However, the mortgage due in thirteen days has a shorter length, meaning that the hobby is being charged over a shorter amount of time, resulting in a better effective interest rate compared to the mortgage due in 15 days.
Learn more about effective interest rate (EIR):-
https://brainly.com/question/31278739
#SPJ1
A city has a population of 210,000 people suppose that each year the population grows by 8.25% what will the population be after 12 years round to the nearest whole number
The required, we get a population of 543694 after 12 years.
To find the population of the city after 12 years, we need to apply the formula for compounding:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
In this case, P = 210,000, r = 0.0825 (8.25% expressed as a decimal), n = 1 (since the growth is yearly), and t = 12. Plugging in these values, we get:
A = 210,000(1 + 0.0825/1)¹ˣ¹²
A = 210,000(1.0825)¹²
A ≈ 543693.51
Rounding this to the nearest whole number, we get a population of 543694 after 12 years.
Learn more about the population here:
https://brainly.com/question/27991860
#SPJ1
Which inequality is equivalent to 3+ 4/x ≥ X+2/x?
A. 2x+2/x ≥ 0
B. 2x+6/x ≥ 0
C. -x+5/x ≥ 0
D. -x +9/x ≥ 0
The inequality that is equivalent to 3+ 4/x ≥ X+2/x is 2x ≥ -2
Which inequality is equivalent to 3+ 4/x ≥ X+2/x?From the question, we have the following parameters that can be used in our computation:
3 + 4/x ≥ X+2/x
Multiply through the inequality by x
So, we have
3x + 4 ≥ x + 2
Collecting the like terms
So, we have
3x - x ≥ 2 - 4
Evaluating the like terms
So, we have
2x ≥ -2
Hence, the inequality that is equivalent to 3+ 4/x ≥ X+2/x is 2x ≥ -2
Read more abot inequality at
https://brainly.com/question/25275758
#SPJ1
plsss explain nd i’ll give brainliest answer
Answer: 118
Step-by-step explanation:
Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.
https://brainly.in/question/28196155#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=1%20The%20corresponding%20angles%20are,alternate%20exterior%20angles%20are%20equal. See #5.
Please Help Marked for all my points and will Brainliest
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.
The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
Learn more about simplification here:
https://brainly.com/question/9912600
#SPJ1
Helppp fastttttt!!!!!!
Answer:
its 15.5 m
Step-by-step explanation:
I need help: Write an exact polynomial equation, including stretch factor, for the graph below.
An equation that could represent the graph of P(x) include the following: p(x) = -3/4(x - 2)²(x + 1).
What is a polynomial graph?In Mathematics and Geometry, the graph of a polynomial function touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.
Also, the graph has a zero of multiplicity 2 at x = 2 and zero of multiplicity 2 at x = -1;
x = 2 ⇒ x - 2 = 0.
(x - 2)²
x = -1 ⇒ x + 1 = 0.
(x + 1)²
In this context, an equation that represent the polynomial function is given by:
p(x) = a(x - 2)²(x + 1)²
By evaluating and solving for the leading coefficient "a" in this polynomial function based on the y-intercept (0, -3), we have;
-3 = a(0 - 2)²(0 + 1)²
-3 = a4
a = 3/4.
Therefore, the required polynomial function is given by:
p(x) = -3/4(x - 2)²(x + 1)
Read more on polynomial and multiplicity here: brainly.com/question/13652616
#SPJ1
The venn diagram shows the 12 students in Mr. Campbell's class. The diagram shows the memberships for the Volleyball Club and the Math Club. Note that "Ivanna" is outside the circles since she is not a member of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Volleyball Club." LEt B denote the event "the student is in the Math Club."
The Venn diagram shows 12 students, 3 are in the Math Club, 4 are in the Volleyball Club, and 2 are in both clubs. There are 7 students who are not members of either club. The probability that a randomly selected student is in either club is 5/12.
We are given that there are 3 students in the Math Club, 4 students in the Volleyball Club, and 2 students in both clubs. This means that there are 3 - 2 = 1 student in only the Math Club and 4 - 2 = 2 students in only the Volleyball Club. There are also 12 - (1 + 2 + 2) = 7 students who are not members of either club.
Let's use this information to find the probabilities of the given events
P(A) = probability that the student is in the Volleyball Club = 4/12 = 1/3
P(B) = probability that the student is in the Math Club = 3/12 = 1/4
We can also find the probability of the event "the student is in both the Volleyball and Math Clubs" as:
P(A ∩ B) = probability that the student is in both clubs = 2/12 = 1/6
Finally, we can use the formula for the probability of the union of two events to find the probability of the event "the student is in either the Volleyball or Math Club (or both)"
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = 1/3 + 1/4 - 1/6
P(A ∪ B) = 5/12
So, the probability that a randomly selected student is in either the Volleyball or Math Club (or both) is 5/12.
To know more about Probability:
https://brainly.com/question/11234923
#SPJ1
--The given question is incomplete, the complete question is given
" The venn diagram shows the 12 students in Mr. Campbell's class. The diagram shows the memberships for the Volleyball Club and the Math Club. Note that "Ivanna" is outside the circles since she is not a member of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Volleyball Club." LEt B denote the event "the student is in the Math Club." "--
Where should the point P be chosen on line segment AB so as to maximize the angle ? (Assume a = 3 units, b = 5 units, and c = 8 units. Round your answer to two decimal places.)
The point P should be chosen at 1.07 units to maximize the angle.
How to use pythagoras theorem?From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.
Using pythagoras theorem,
tan M = a/(b - x)
M = tan⁻¹(a/(b - x))
Also, we can say that:
tan N = c/x
N = tan⁻¹(c/x)
Angle θ is given by:
θ = 180 - M - N
θ = 180 - tan⁻¹(a/(b - x)) - tan⁻¹(c/x)
Given that a = 3 units, b = 5 units, and c = 8 units. Thus:
θ = 180 - tan⁻¹(3/(5 - x)) - tan⁻¹(8/x)
To maximize angle θ, the differentiation of θ with respect to x must be equal to zero.
i.e. dθ/dx = - 3/(x² - 10x + 34) + 8/(x² + 64) = 0
8/(x² + 64) = 3/(x² - 10x + 34)
8(x² - 10x + 34) = 3(x² + 64)
8x² - 80x + 272 = 3x² + 192
5x² - 80x + 80 = 0
Using quadratic equation calculator gives:
x = 1.0718
Read more about Pythagoras Theorem at: https://brainly.com/question/343682
#SPJ1
a. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
Read more about net income here:
brainly.com/question/28390284
#SPJ1
Janelle has $13,163 in a savings account that earns 14% annually. The interest
is not compounded. To the nearest cent.How much interest will she earn in 3 months?
To calculate the interest earned in 3 months, we need to first find the monthly interest rate.
The annual interest rate is 14%, so the monthly interest rate is:
14% / 12 months = 1.1667% per month
Next, we can calculate the interest earned in 3 months by multiplying the monthly interest rate by the principal (the amount in the savings account):
3 months * 1.1667% per month * $13,163 = $485.95
Therefore, Janelle will earn $485.95 in interest in 3 months.
7/12 - 5/12? answer
The fraction is simplified to -2/3
What is a fraction?A fraction can be defined as a mathematical expression representing a part of a whole number, element or variable.
There are different types of fractions. They are listed thus;
Simple fractionsComplex fractionsProper fractionsImproper fractionsSimple fractionsExamples of improper fractions are; 3/2, 4/3
Examples of proper fractions are; 1/2 3/4
From the information given, we have that;
7/12 - 5/12
Find the lowest common denominator
7 - 15/12
Subtract the values
-8/12
-2/3
Learn more about fractions at: https://brainly.com/question/11562149
#SPJ1
What is an equation for the circle? A circle graphed on a coordinate plane. The circle has center at (3, negative 1) and passes through the points (negative 2, negative 1) and (8, negative 1). A. (x + 1)2 + (y – 3)2 = 25 B. (x – 1)2 + (y + 3)2 = 25 C. (x + 3)2 + (y – 1)2 = 25 D. (x – 3)2 + (y + 1)2 = 25
The equation of the circle is (x – 3)² + (y + 1)² = 25.
D. is the answer.
How create the equation of the circle graph?The general equation of a circle is given by:
(x – h)² + (y – k)² = r²,
where (h, k) is the coordinate of the circle's center, and r is the radius.
Thus, (h, k) = (3, -1) and the circle passes through (-2, -1) i.e. (x, y) = (-2, -1). Substituting into the equation, we can get the radius. That is:
(x – h)² + (y – k)² = r²
(-2 – 3)² + (-1 – (-1))² = r²
(-5)² = r²
25 = r²
r² = 25
Substitute only h, k and r² back into the general equation to get the equation of the graph. That is:
(x – h)² + (y – k)² = r²
(x – 3)² + (y – (-1))² = 2
(x – 3)² + (y + 1)² = 25
Learn more equation of circle on:
brainly.com/question/1506955
#SPJ1
6. Based on the table, what is the best prediction of a
person's blood pressure if he or she worked 32 hours a
week?
F. 97
G. 140
H. 130
J. 125
The best prediction of a person's blood pressure if he or she worked 32 hours a week is given as follows:
J. 125.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points for the data-set in this problem are given as follows:
(75, 172), (41, 130), (85, 170), (56, 142), (25, 125), (60, 141), (48, 138).
Inserting these points into a calculator, the linear regression equation predicting the blood pressure of a person that works x hours a week is given as follows:
y = 0.86x + 97.47
Hence the prediction when x = 32 is given as follows:
y = 0.86(32) + 97.47
y = 125.
More can be learned about linear regression at https://brainly.com/question/29613968
#SPJ1
3x(x + 4) + 3(x + 4) = 0
The solution to the equation 3x(x + 4) + 3(x + 4) = 0 is x = -4 or x = -1.
What is the solution to the given equation?Given the equation in the question:
3x(x + 4) + 3(x + 4) = 0
To determine the solution to the equation.
First, factor out the common factor of (x + 4) from the left-hand side of the equation:
3x(x + 4) + 3(x + 4) = 0
3(x + 4)(x + 1) = 0
The equation is now in factored form, and we can use the zero product property to find the values of x that satisfy the equation:
3(x + 4)(x + 1) = 0
(x + 4)(x + 1) = 0 (Divide both sides by 3)
Using the zero product property, we know that:
(x + 4) = 0 and (x + 1) = 0
Solving for x, we get:
x + 4 = 0 and x + 1 = 0
x = -4 and x = -1
Therefore, the solution s are x = -4 and x = -1.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ1
Select the correct answer.
Rachael is giving a geometry test and wants to draw a regular polygon. Which geometric figure will help her to get such a geometric figure?
A.
a circle
B.
a square
C.
a triangle
D.
a rectangle
E.
a parallelogram
Answer:
A. Circle
To draw a regular polygon, one can use a circle as a geometric figure. A regular polygon is a polygon with all sides and angles equal. By inscribing a polygon inside a circle, the vertices of the polygon are evenly spaced on the circumference of the circle, and the radius of the circle is equal to the distance between the center of the circle and the vertices of the polygon. This ensures that all sides of the polygon are of equal length, and all angles between the sides are equal. Therefore, by using a circle as a geometric figure, Rachael can draw a regular polygon with ease.
