The dimensions of the larger outer rectangle and smaller holding pens are respectively; 96ft x 96ft and 31ft x 96ft
How to maximize Functions?Let the side lengths of the big rectangle be x and y. Thus the area of the big triangle is; A = xy
If the fencing available is 384 ft, then perimeter is 384 ft. Thus;
2x + 2y = 384
y = (384 - 2x)/2
y = 192 - x
Putting 192 - x for y in A gives us;
A = x(192 - x) = 192x - x²
Completing the square to rearrange the equation of A gives us;
A = 9216 - (x - 96)²
If A is to be a maximum, then;
x - 96 = 0
x = 96 ft
y = 192 - 96 = 96 ft
Since we maximised the area of the bigger rectangle , we have maximised the area of the smaller pens. The dimensions of the smaller holding pens will be;
x' = 96 ft /3 = 31 ft
y' = 96 ft
Read more about Maximizing Functions at; brainly.com/question/14853334
#SPJ1
The charge on a nucleus which has 8 protons and 8 neutrons is ___.
Answer:
0
Explanation:
The charge is neutral since the number of protons and neutrons is the same.
Choose the best spanish word to complete the sentence. marisol y daniela __________________en la escuela. estoy estudiando está estudiando están estudiando es estudiando
The correct Spanish word to complete the sentence here is 'Marisol y Daniela están estudiando en la escuela'.
What does the Spanish ver 'estudiar' mean?The Spanish verb 'estudiar' in English means 'to study' and in this case, the conjugation ends in 'án' ('Ellos' personal pronoun).
In English, this Spanish sentence means 'Marisol and Daniela are studying at the school'.
In conclusion, the Spanish word to complete this sentence is 'Marisol y Daniela están estudiando en la escuela'.
Learn more about Spanish verbs here:
https://brainly.com/question/2074766
#SPJ1
Answer:
c) están estudiando
Explanation:
Proctor and gamble were not an official sponsor of wimbledon. yet almost 25,000 cans of their pringles were distributed to spectators outside the wimbledon all england club. this is an example of?
Procter and Gamble is a multinational consumer services corporation. The distribution of the pringles outside Wimbledon is ambush marketing.
What is ambush marketing?Ambush marketing is an advertising strategy that employs an ambushing strategy in an event. This marketing strategy uses public events to promote its services and products.
This strategy does not use money unlike, what sponsors do in advertising their products at events. P&G used this strategy in the Wimbledon match as they were not the official partners but associated themselves with the customers.
Therefore, P&G employed ambush marketing.
Learn more about ambush marketing here:
https://brainly.com/question/7520697
#SPJ1
How much will molly’s monthly payment be if she makes 36 monthly payments?
At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters
The regression line that can be formed from the information about the plant that manufactures bars of steel will be 2.2043 + 1.0068x.
What is a regression line?It should be noted that a regression line simply means the line that displays the connection between the scattered points in a data set.
In this case, the regression line that can be formed from the complete binformation will be:
b0 = y - b1x
= 8.3 - 1.0068(80.25)
= 8.3 - 80.7957
= 2.2043
Therefore, the regression line is 2.2043 + 1.0068x.
Learn more about regression on:
https://brainly.com/question/25987747
#SPJ1
There are 18 mathematics majors and 325 computer science majors at a college.
Answer:
5850
Explanation:
The objective is to find the number of ways that two representatives can be picked such that one is mathematics major and the other is computer science major.
Recall the following product rule:
If one task can be done in ways and another task can be done in ways, then the number of ways that the two tasks can be done in sequence is, .
Use the above product rule to find the required number of ways in this case since the first task is to pick a mathematics major and then the second task is to pick a computer science major.
Thus, the number of ways that two representatives can be picked such that one is mathematics major and the other is computer science major is,
5850
A ____ is a degree offered at a
university after you have obtained a bachelor's
degree.
A type of degree that is offered at a university after you have obtained a bachelor's degree is called master's degree.
What is a bachelor's degree?A bachelor's degree can be defined as an academic degree that is formally awarded by a tertiary institution (university or college) to a student after the successful completion of his or her educational programme.
Generally, the second degree a graduate student obtains after the acquisition of a bachelor's degree (first degree) is referred to as a master's degree.
Read more on master's degree here: https://brainly.com/question/22877858
Which equation describes the relation indicated by the table
Answer:
Answer: - (1/2)x + 2
Explanation: 1) Table
x y
-2 3
0 2
4 0
6 -1
The first thing that you must probe is whether the relation is linear.
When the relation is linear the rate of change is constant.
The rate of change is Δy / Δx
2) Let's calculate that rate for all the points given:
x y
-2 3
0 2 ---> Δx = 0 -(-2) = 2, Δy = 2 - 3 = - 1 => Δy / Δx = - 1/2
4 0 ---> Δx = 4 - 0 =4, Δy = 0 - 2 = -2 => Δy / Δx = -2/4 = - 1/2
6 -1 ---> Δx = 6 - 4 = 2, Δy = - 1 - 0 = -1 => Δy / Δx = - 1/2
So, we have shown that the relation is linear.
3) Now, you can use the equation of the line: y = mx + b, where m is the slope (rate of change Δy / Δx) and b is the y-intercept.
We already found m = -1/2
The y-intercept is the value of y when x = 0, which you can get from the table; b = 2.
Therefore the equation is: y = (-1/2)x + 2.
The population of a particular country consists of three
A sector of a circle is a region within a circle bounded by two _____ and their intercepted arc.
Answer:
radii
Explanation:
Two surfaces are called perpendicular at a point of intersection if their normal lines are perpendicular at that point.
Two surfaces are called orthogonal if it is perpendicular at a point of intersection if their normal lines are perpendicular at that point.
What is an orthogonal surface?Surface families that are mutually orthogonal. In three dimensions, up to three families of surfaces can be orthogonal.
Orthogonal planes are the most basic example of three orthogonal surfaces in three dimensions, but three confocal conic surfaces are also mutually orthogonal.
Thus, the correct option is orthogonal
Learn more about orthogonal surfaces
https://brainly.com/question/2292926
#SPJ1
Both "the tiger" and "the lamb" convey similar messages, also called iambs. Parallelisms. Refrains. Themes
The similar messages conveyed by the poems titled "The Tiger" and "The Lamb" are called; Themes
What is the Theme?A theme is defined as a main idea, an underlying message or meaning of a literary work that can be made direct or indirectly.
Now, the theme in both poems by William Blake titled "The Lamb” and “The Tiger” is creation and origin.
For example, in the poem “The Tiger”, the author is seen questioning how the same God could create such a gentle creature as the lamb and also a terrifying creature as the tiger.
Thus, we can say that both poems convey themes.
Read more about Themes at; https://brainly.com/question/9367274
#SPJ1
Answer:
d - themes.
Explanation:
edge 2022
Two opposite forces acting perpendicular to an axis cause
Two opposite forces which are acting perpendicular to an axis cause the moment of couple or torque.
What is couple?
Couple is the pair of force of equal magnitude which acts in opposite direction to each other. The moment of couple is known as the troque, which can be calculate as,
[tex]\tau=Fs[/tex]
Here, (F) is the magnitude of one of the force and (s) is the perpendicular distance of force acting on axis.
Here, the two opposite forces are given which acts perpendicular to an axis. Now suppose there is the magnitude of both the force (F) is equal and the perpendicular distance from the axis is also same.
Thus, from the above definition of moment of couple, they produce, torque or moment of couple.
Hence, the two opposite forces which are acting perpendicular to an axis cause the moment of couple or torque.
Learn more about the couple here;
https://brainly.com/question/25939131
#SPJ1
Select all the techniques stravinsky uses to create tension in ritual of abduction.
All the techniques stravinsky uses to create tension in ritual of abduction are; Powerful Accents and An abrupt saxophone trill
What are the techniques used in the excerpt?From the ritual of abduction we see it start from young girls arriving from the river, in single file doing the “Dance of the Abduction”. Then the orchestra creates a frantic atmosphere as they were dancing.
The orchestras' play included frantic scalic passages, with the percussion accentuating and this was widely regarded as one of the most terrifying musical hunts. Thereafter, the high flute trills lead into the next movement.
Read more about ritual of abduction at; https://brainly.com/question/25826123
The attraction between water molecules and a na+ ion or a cl- ion occurs because water molecules are —
Water molecules are polar (positive charge zones and negative charge zones) this makes the attraction of a na+ ion or a cl- ion to occur.
How are the water molecules composed?This class of molecules that have a distribution of charges are called polar and, consequently, form bonds called hydrogen bonds with other molecules.
These molecules have a permanent dipole moment, that is, they have a structure called dipolar (two poles), this arrangement gives water great power to dissolve substances within it.
Therefore, we can conclude that water molecules are polar (positive charge zones and negative charge zones) this makes the attraction of a na+ ion or a cl- ion to occur.
Learn more about water molecules here: https://brainly.com/question/12730171
Determine the ph of an hf solution of each of the following concentrations.
The pH shows the degree of acidity of alkalinity of a solution. The pH of the HF can be obtained from the ICE table.
What is pH?The term pH refers to the hydrogen ion concentration of a solution. Recall that acids produce hydrogen or oxonium ion in solution.
The first step to determine the pH of the HF solution is to set up the ICE table as shown;
HF + H2O ⇄ H3O^+ + F^-
I
C
E
The values of the initial concentration of HF as well as the Ka of HF are not given. If these two values are give, the pH can be obtained from;
Ka = [H3O^+] [ F^-]/[HF] Knowing that [H3O^+] = [ F^-] = x
Learn more about pH: https://brainly.com/question/22074421
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim
Answer:
if the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001
17.2 defining and evaluating the basic trigonometric functions answer key
An example of basic trigonometric functions question is find tan [tex]\frac{11\pi }{4}[/tex].
What are trigonometric functions?The term trigonometric function is known to be made up of functions such as sine (sin), cosine (cos), tangent (tan), etc., that stands for the ratios of sides of all right triangles.
To solve for tan [tex]\frac{11\pi }{4}[/tex]
It will be [tex]\frac{11\pi }{4}[/tex] = 2[tex]\pi[/tex] + [tex]\frac{3\pi }{4}[/tex]
θ = [tex]\pi -\frac{3}{4} \pi[/tex]
θ = [tex]\frac{\pi }{4}[/tex]
To know the right angle,
θ = [tex]\frac{\pi }{4}[/tex] x 180/4 = 45⁰
tan θ = 1
Therefore, tan [tex]\frac{11\pi }{4}[/tex] = -1
Learn more about trigonometric functions from
https://brainly.com/question/24349828
__________ are certain beviors that violate socially acceptable behaviors but may not cause harm to others.
Answer:
B
Explanation:
The behaviors that violate socially acceptable behaviors but may not cause harm to others are called conventional transgressions.
What are the conventional transgressions?
Conventional transgressions are defined by their consequences for the social order. Children and adults generally have moral transgressions that are more serious than conventional transgressions. For example, talking in class, dressing in opposite clothes.
From the above assertion, it is clear that option B, conventional transgressions, is the correct answer.
Based on the study presented in the video, what strategy would you recommend to maximize someone's feelings of happiness?
The video is not found here, but feelings of happiness can be maximized by viewing positive outcomes globally and compartmentalizing negative outcomes.
What are the negative outcomes?The negative outcomes are results that may negatively influence our emotions and feelings such as happiness.
The best manner to maximize the feelings of happiness is by having a positive global vision of life.
For this purpose, it is required to compartmentalize negative outcomes in order to decrease their effects.
Learn more about emotions here:
https://brainly.com/question/13992309
Lesson 6 homework practice use the pythagorean theorem answer key
Pythagorean theorem should be used to determine the length of any of the three sides of a right-angled triangle.
What is Pythagorean Theorem?Pythagorean theorem can be defined as a fundamental mathematical equation in Euclidean geometry and it can be used to determine the length of any of the three (3) sides of a right-angled triangle.
Mathematically, Pythagorean's Theorem is given by this formula:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.For example:
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5 units.
Read more on Pythagorean Theorem here: https://brainly.com/question/16176867
A lie detector test is not really accurate claim or counterclaim
Answer:
COUNTERCLAIM.
Explanation:
IM CORRECT PLS MARK BRAINLIEST
Lie detectors only detect your heartbeat speeding up; they do not actually detect falsehoods.
What is a Lie detector?
While a subject is responding to a sequence of questions, a polygraph test measures and records the subject's physiological responses. The physiological reactions can be carefully examined to reveal deception.
According to research, the most recent computerised polygraph testing methods are 98% accurate. To reach this degree of accuracy, a number of crucial characteristics are crucial.
The polygraph is still used to investigate criminal activity and is occasionally used to screen potential workers for government agencies.
How did the selective service act of 1917 contribute to the war effort? brainly
Choose the best spanish word to complete the sentence. Yo ____________la lección. Comprendí comprendió comprendiste comprendimos
Answer:
comprender
Explanation:
I ____________the selection. I understood I understood I understood we understood
Answer: A. comprendí
Explanation: On Edge!!
What is the subject of this poem? the fruits of hard work the gift of forgiveness the steady progression of time the danger of suppressed anger
Answer:
D. the danger of suppressed anger
Explanation:
EDGE 2022
Deductively, the subject of this poem is most likely to be: D. the danger of suppressed anger.
What is a poem?A poem refers to a literary work that's made up of either written or spoken words which are carefully chosen and arranged in separate lines, especially based on their sound (diction), rhythm, and meaning.
Based on the poem titled "The Poison Tree" written by William Blake, we can infer and logically conclude that the subject of this poem is most likely to be the danger of suppressed anger because he expressed anger and wrath towards his friend and foe.
Read more on poem here: https://brainly.com/question/12402845
#SPJ2
Mitochondria lysosomes and ribosomes are examples of
Answer:
Organelles
Explanation:
Mitochondria, Lysosomes, and Ribosomes are all organelles in a cell
What is the compound interest on a three-year, $100. 00 loan at a 10 percent annual interest rate? $10. 00 $21. 00 $33. 10 $46. 41
Answer:
58.81 i think but i could be wrong
Using the performance planner on a monthly basis allows you to optimize which two aspects of an account? (choose two.)
Using the performance planner on a monthly basis allows one to optimize two aspects of an account, which are bid and budget.
What is a performance planner?The performance planner is a tool which helps to obtain the best bids and mean monthly budget around all the campaigns.
The objective of a performance planner are:
Enhance the conversation number to achieve any upcoming spend premise. Helps to obtain the best bids and mean monthly budget.Provide the chance to get the benefit of seasonality opportunities.Provides new possibilities to enhance the sales through ad and campaigns.Hence, using the performance planner on a monthly basis allows one to optimize two aspects of an account, which are bid and budget.
Learn more about the performance planner here;
https://brainly.com/question/14521985
#SPJ1
What modern technology was originally inspired by leonardo da vinci? diving suits eyeglasses microscopes telescopes
Answer: sorry this is a late response but the answer is (A) diving suits
I hope it helps :)
Explanation: I took the test
Answer:
a
Explanation:
A
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5/9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5/9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
The true statement based on the equation is a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degrees Celsius.
What is temperature?Temperature is the hotness or coldness of the body.
As you can see, the graph's slope is 5/9, which means that an increase of 1 degree Fahrenheit corresponds to a 5/9 increase in Celsius.
As a result, the statement I is correct.
This is the same as saying that a 1 degree Celsius increase is equivalent to a 9/5 degree Fahrenheit increase.
Thus, the correct option is A, I only.
Learn more about temperature
https://brainly.com/question/15267055
#SPJ1