Answer:circumference of circle =πd
88ft=22/7 ×d
D=88×7/22=4×7=28ft
Diameter=28 ft
Step-by-step explanation:
The graph shows the increase in temperature over time in an oven. What is the change in the y-values and x-values on the graph? The change in the y-values is 40 and the change in the x-values is 1. The change in the y-values is 1 and the change in the x-values is 40. The change in the y-values is 150 and the change in the x-values is 2. The change in the y-values is 190 and the change in the x-values is 3.
Answer:
I
Step-by-step explanation:
graph is not provided
Write three expressions that are equivalent to 2x + 4x - 15
Answer:
6x-15
3x+3x-15
5x+1x-15
Step-by-step explanation:
6x-15
3x+3x-15
5x+1x-15
they all add up to 6x-15
so they are equal
Suppose f(x, y) = x² + y2 - 6x and D is the closed triangular region with vertices (6,0), (0,6), and (0,-6). Answer the following 1. Find the absolute maximum of f(x,y) on the region D
The absolute maximum of f(x, y) on the region D is 36, which occurs at the points (0, 6) and (0, -6).
What is the quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
To find the absolute maximum of f(x, y) on the region D, we need to consider the values of f(x, y) at the critical points and on the boundary of D.
First, we find the critical points by setting the partial derivatives of f(x, y) equal to zero:
fx = 2x - 6 = 0
fy = 2y = 0
Solving these equations, we get the critical point (3, 0).
Next, we need to evaluate f(x, y) at the vertices of the triangular region D:
f(6, 0) = 0 + 0 - 6(6) = -36
f(0, 6) = 0 + 36 - 6(0) = 36
f(0, -6) = 0 + 36 - 6(0) = 36
Now, we need to evaluate f(x, y) along the boundary of D. The boundary consists of three line segments:
The line segment from (6, 0) to (0, 6):
y = 6 - x
f(x, 6 - x) = x² + (6 - x)² - 6x = 2x² - 12x + 36
The line segment from (0, 6) to (0, -6):
f(0, y) = y²
The line segment from (0, -6) to (6, 0):
y = -x - 6
f(x, -x - 6) = x² + (-x - 6)² - 6x = 2x² + 12x + 72
To find the absolute maximum of f(x, y) on the region D, we need to compare the values of f(x, y) at the critical point, the vertices, and along the boundary. We have:
f(3, 0) = 9 + 0 - 6(3) = -9
f(6, 0) = 0 + 0 - 6(6) = -36
f(0, 6) = 0 + 36 - 6(0) = 36
f(0, -6) = 0 + 36 - 6(0) = 36
f(x, 6 - x) = 2x² - 12x + 36
f(x, -x - 6) = 2x² + 12x + 72
f(0, y) = y²
To find the maximum along the line segment from (6, 0) to (0, 6), we need to find the critical point of f(x, 6 - x):
f(x, 6 - x) = 2x² - 12x + 36
fx = 4x - 12 = 0
x = 3/2
f(3/2, 9/2) = 2(3/2)² - 12(3/2) + 36 = -9/2
Therefore, the absolute maximum of f(x, y) on the region D is 36, which occurs at the points (0, 6) and (0, -6).
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Describe the powers the constitution gives to the executive, legislative, and judicial branches.
The Constitution of a country typically delineates the powers of the executive, legislative, and judicial branches. The executive branch is responsible for enforcing laws and managing the day-to-day operations of the government. The legislative branch has the power to create laws and policies, while the judicial branch interprets and applies the laws, ensuring their constitutionality and resolving disputes.
The executive branch, headed by the President or a similar executive authority, is granted powers such as implementing and enforcing laws, commanding the armed forces, conducting foreign relations, and overseeing administrative agencies. This branch is responsible for executing and carrying out the laws of the land.
The legislative branch, consisting of the Congress or a similar governing body, holds the power to create laws. It is responsible for drafting, debating, and passing legislation, including budgetary matters. This branch also has the authority to declare war, regulate commerce, and exercise oversight over the executive branch through mechanisms like impeachment and confirmation hearings.
The judicial branch, led by the courts and judges, interprets and applies the laws. Its powers include resolving legal disputes, conducting trials, and adjudicating cases. The judiciary ensures that laws and actions are consistent with the Constitution, and it can declare laws unconstitutional or interpret their meaning. This branch plays a crucial role in upholding the rule of law and protecting individual rights.
It is important to note that the specific powers granted to each branch can vary depending on the country and its constitutional framework. The separation of powers is designed to provide a system of checks and balances, ensuring that no single branch becomes too powerful and that governmental actions are accountable and in line with constitutional principles.
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Match each expression with an equivalent radical form. One of the radical form
options will not have a match.
3 7/2
7 1/2
3 2/7
7 2/3
1. √7
2. √37
3. √3²
4. 3/72
Answer:
3^(7/2) = 2.; 7^(1/2) = 1,; 3^(2/7) = 3.; 7^(2/3) = 4.
Step-by-step explanation:
To convert the expressions to their radical form, we remember this formula:
\(b^\frac{exponent}{index}=\sqrt[index]{b^e^x^p^o^n^e^n^t}\)
Thus, for 3^(7/2), 7 is the exponent and 2 is the index, which gives us
\(\sqrt[]{3^7}\).
For 7^(1/2), 1 is the exponent and 2 is the index, which gives us
\(\sqrt{7}\).
For 3^(2/7), 2 is the exponent and 7 is the index, which gives us
\(\sqrt[7]{3^2}\).
For 7^(2/3), 2 is the exponent and 3 is the index, which gives us
\(\sqrt[3]{7^2}\)
2 apples cost 2 dabloons.
How much does 1 apple cost
what is the formula of 1,-3/4 and 4,-3
The formula for slope is,
\(m=\frac{-3-(\frac{-3}{4})}{4-1}\)lease help. I will send you 5 on cash app
Answer:
11, yes 12, 7.5 glasses of water?
Step-by-step explanation:
11- Yes.
If 5 tickets are 25 dollars, that means a ticket is 5 dollars. 8 x 5 = 40. 10 + 40 = 50.
12- 2 1/2 x 3 = 7.5
Answer:
1) Yes he can buy a snack pack
2) 7.5
Step-by-step explanation:
which value is the y-intercept in the equation of y=2x-2
Answer:
i think -2
Step-by-step explanation:
because 2 is x so i think -2 is y
Answer:
y=2x-2 im a genius ik
Step-by-step explanation:
y = 2x -2 subtract add and divide.
what are the next 3 numbers in this pattern?
21, 17, 10, 3, -4
**please show how you found them!!**
Step-by-step explanation:
the pattern is -3 -7 -7 -7 so I think the next would be three or seven
What is the area of the triangle?
please helpppp
where did the you hide the triangle?
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
1. In order for Pattern B to be linear, the common difference of the number of dots between each step should be constant. As it is not constant, the pattern is not linear.
2. In order for Pattern B to be exponential, the common ratio of the number of dots between each step should be constant. As it is not constant, the pattern is not exponential.
3. In order for Pattern B to be quadratic, its sequence of second differences must be constant.
First differences:
\(1 \underset{+1}{\longrightarrow} 2 \underset{+3}{\longrightarrow} 5 \underset{+5}{\longrightarrow} 10\)
Second differences:
\(1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5\)
Therefore, as the sequence of second difference is constant, the patten is quadratic.
The function for pattern B is: \(f(x)=x^2+1\)
(where x is the step number)
PLEASEE HELP I ONLY HAVE ONE CHANCE !! BRAINLIEST
The point (-7, -24) is on the terminal ray of angle theta which is in standard position. A student found the six trigonometric values for angle theta. The student's answers are shown.
Which value(s) are incorrect?
Answer:
cos and sec
Step-by-step explanation:
The ray is in the third quadrant.
Sine is neg, csc is neg, tan is pos and cot is pos. All those are incorrect
Cos and sec are neg which is correct.
F) triangle ABC is similar to triangle CBD
G) CD/BD=AD/CD
H)
J) CD/BD=AC/AD
Answer:
F) triangle ABC is similar to triangle CBD
Step-by-step explanation:
Hope this helped
Which of the following undergoes controlled chain reaction in a nuclear reactor?
A. Th-232
B. Pb-208
C. Ba-141
D. U-235
Answer:
the answer is option D. Uranium - 235
5. Prolific uses the bike in his trunk to find a nearby gas station with a mechanic to fix his rental
car. He rides 1.5 mi to the first gas station, where they say the next gas station may have a
mechanic. He then rides 1.6 mi to the next gas station, which also has no mechanic. The
following gas stations at 1.8 mi, 2.1 mi, and 2.5 mi away all have no mechanics available, but
confirm that there is a mechanic at the following gas station.
A. Assuming the rate remains constant, what equation will determine the distance of
the N gas station?
B.
If the pattern continues, how many miles will Prolific bike to get to the mechanic at
the 6th gas station?
Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.
Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.
Let's analyze the given information:
The first gas station is 1.5 miles away.
From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.
Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:
d = 1.5 + 0.1(N - 1)
B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:
d = 1.5 + 0.1(6 - 1)
= 1.5 + 0.1(5)
= 1.5 + 0.5
= 2 miles
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Two types of alien live on the planet Starlight: Zoomas have 3 eyes and 2 legs and Popsies have 4 eyes and 5 legs. How many of each type of alien might there be if there are 38 eyes and 37 legs
Answer:
Below
Step-by-step explanation:
(3y + 2l )z + (4y + 5l) p = 38y+37 l <=======given ( y = eyes , l = legs)
z 2l + p5l = 37 l <===separating out the' l ' part
2z + 5p = 37
3y z + 4y p = 38y <====== taking out the 'y' part
3z + 4 p = 38 Solve the two underlined simultaneous equations
multiply first one by - 1.5 then add to second one to get:
-3z -7.5p = - 55.5 <===== solve for p
-3.5 p = - 17.5
p = 5 then z = 6
Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
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which of the following must be true?
Answer:
C
Step-by-step explanation:
Answer C is correct. The absolute value of 10 is 10 and that of -10 is 10. Same result.
Suppose y varies directly with x when x is 12 y is 14 write the equation that relates x and y
Given that 'y' is directly proportional to 'x',
\(y\propto x\)Let 'k' be the constant of proportionality.
Then the equation becomes,
\(y=kx\)Given that 'y' is 14 when 'x' is 12,
\(\begin{gathered} x=12 \\ y=14 \end{gathered}\)Substitute the values in the equation,
\(\begin{gathered} 14=k\cdot12 \\ k=\frac{14}{12} \\ k=\frac{7}{6} \end{gathered}\)Substitute the value of 'k' in the equation,
\(y=\frac{7}{6}x\)Thus, the required equation that relates 'x' and 'y' is,
\(y=\frac{7}{6}x\)after 6 netball games isla has scored an average of 25 goals. in the first five games she scored 19, 25, 27, 28 and 21 goals. how many goals did isla score in the sixth game? question response area select one option
The calculated number of goals scored by Isla is 30. From the set of options, the correct answer is Option d.
To find the number of goals scored by Isla in the sixth round, we need to rely on the concept involving the basic application of finding the average.
therefore,
we need to proceed by using the formula for finding the average to find the sum of goals scored in total.
Average = sum of goals / total number of rounds played
we need to restructure the given formula to find the sum of the goals
The sum of goals = average x total number of rounds played
then, staging the values in the given formula
Sum of goals = 25 x 6
Sum of goals = 150
now we need to find the number of goals scored in round 6 by Isla
Total number of goals - Total number of goals in 5 rounds
= 150 - 120
= 30
The calculated number of goals scored by Isla is 30. From the set of options, the correct answer is Option d.
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The complete question is
After 6 netball games Isla has scored an average of 25 goals. In the first five games she scored 19, 25, 27, 28 and 21 goals. How many goals did Isla score in the sixth game?
(a)20
(b)24
(c)25
(d)30
What is the perimeter of this
polygon?
A 3 cm
9 cm
C
B 3 cm
[?] cm
Enter
Answer:
30cm
Step-by-step explanation:
12 +12+6
maybe to do with tangents are the same length where they touch the circle
PLZ HELP ASAP!!!!!!!!
Answer:
Step-by-step explanation:
formula for cylinder:V=πr2h
shape of the base: circle
formula for circle: A=πr2
radius: 6.5cm
height: 16cm
V=3.14x6.5^2x16
2122.64cm^3
Answer:
Step-by-step explanation:
The formula for volume a a cylinder is V=pi*r²h
The shape of the base is circular
the formula for area of a circle is A=pi*r²
The radius is 6.5 cm
The height is 16 cm
V=pi x 6.5² x 16
The volume of the cylinder is 2123.72
Hope this helps:)
What is the radius of a circle whose equation is x2 y2 8x−6y 21=0?.
The radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
\((x-h)^2+(y-k)^2=r^2\)
Here (h,k) is the center of the circle and (r) is the radius of the circle.
The given equation of the circle is,
\(x^2+ y^2 +8x-6y +21=0\)
Add number 16 and 9 both sides of the equation to complete the square.
\(x^2+ y^2 +8x-6y +21+16+9=16+9\\x^2+8x+16+ y^2 -6y +9=16+9-21\\(x+4)^2+(y-3)^2=4\\(x+4)^2+(y-3)^2=2^2\)
Compare it with the standard equation of the circle, we get,
\(h=-4\\k=3\\r=2\)
Hence, the radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.
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The base of the portion formula represents the whole or 100 percent
True or false?
True. The base of the portion formula represents the whole or 100 percent. It is the total amount or quantity from which a portion is being taken. The portion formula is used to calculate a part or fraction of the whole.
In mathematics, when calculating a portion or fraction of a whole, we use the portion formula. The base of the portion formula represents the total amount or quantity, which is considered as the whole or 100 percent. The portion being calculated is then expressed as a fraction or percentage of this base.
For example, if we want to find 30% of a number, the number itself would be the base, representing the whole or 100%. We then calculate 30% of that number to determine the portion.
In summary, the base of the portion formula does indeed represent the whole or 100 percent, making the statement true.
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PLEASE HELP SOLVE THESE!! DUE IN AN HOUR!! THANK YOU:))
Answer:
1, (2,5)
2, (6,2)
3, (-5,9)
Step-by-step explanation:
OMG I was doing the same thing solving by elimination. can I get the brainlest? Pls
the polymorphism of derived classes is accomplished by the implementation of virtual member functions. (true or false)
The statement is true. Polymorphism of derived classes in object-oriented programming is achieved through the implementation of virtual member functions.
In object-oriented programming, polymorphism allows objects of different classes to be treated as objects of a common base class. This enables the use of a single interface to interact with different objects, providing flexibility and code reusability.
Virtual member functions play a crucial role in achieving polymorphism. When a base class declares a member function as virtual, it allows derived classes to override that function with their own implementation. This means that a derived class can provide a specialized implementation of the virtual function that is specific to its own requirements.
When a function is called on an object through a pointer or reference to the base class, the actual function executed is determined at runtime based on the type of the object. This is known as dynamic or late binding, and it enables polymorphic behavior. The virtual keyword ensures that the correct derived class implementation of the function is called, based on the type of the object being referred to.
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hey! please help i’ll give brainliest
Answer: A goverment by people
Step-by-step explanation:
What is m
А
105°
86°
C
E
137°
D
Answer:
122 degrees
Step-by-step explanation:
*A pentagon has a total of 540degrees
1st step: take all of the degrees and add them up:
105 + 90 + 86 + 137 = 418
2nd step: subtract the sum from 540:
540 - 418 = 122
The missing angle is 122 degrees
Answer:
∠ C = 122°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
Sum the given angles and equate to 540°
∠ C + 137° + 86° + 105° + 90° = 540 , that is
∠ C + 418° = 540° ( subtract 418° from both sides )
∠ C = 122°
Question 5 (20 points ) (a) in a sample of 12 men the quantity of hemoglobin in the blood stream had a mean of 15 / and a standard deviation of 3 g/ dlfind the 99% confidence interval for the population mean blood hemoglobin . (round your final answers to the nearest hundredth ) the 99% confidence interval is. dot x pm t( s sqrt n )15 pm1
The 99% confidence interval for the population mean blood hemoglobin is 12.31 < μ < 17. 69.
Given that,
Hemoglobin concentration in a sample of 12 men had a mean of 15 g/dl and a standard deviation of 3 g/dl.
We have to find the 99% confidence interval for the population mean blood hemoglobin.
We know that,
Let n = 12
Mean X = 15 g/dl
Standard deviation s = 3 g/dl
The critical value α = 0.01
Degree of freedom (df) = n - 1 = 12 - 1 = 11
\(t_c\) = \(z_{1-\frac{\alpha }{2}, n-1}\) = 3.106
Then the formula of confidential interval is
= (X - \(t_c\times \frac{s}{\sqrt{n} }\) , X + \(t_c\times \frac{s}{\sqrt{n} }\) )
= (15- 3.106 × \(\frac{3}{\sqrt{12} }\), 15 + 3.106 × \(\frac{3}{\sqrt{12} }\) )
= (12.31, 17.69)
Therefore, The 99% confidence interval for the population mean blood hemoglobin is 12.31 < μ < 17. 69.
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