Answer:
19.1, rounded= 19
Step-by-step explanation:
115 divided by 6 = 19.1
Answer:
20 tanks
Step-by-step explanation:
Number of tanks = Total fish ÷ Number of fish that a tank can hold
= 115 ÷ 6
= 19 \(\frac{1}{6}\)
= 20 tanks
If a = 3 and b = 5, find a/(a+b)=.
Answer: 5/3 or 1.67
Step-by-step explanation:
Calculate.
\(\sqrt{(-4.5)^{4}}\)
Answer:
Step-by-step explanation:
\(\sqrt{(-4.5)^{4}}=\sqrt{(-4.5)*(-4.5)*(-4.5)*(-4.5)}\\\\= (-4.5) * (-4.5)\\\\= 20.25\)
5. A theater wants to take in at least $2000 for the matinee. Children's
tickets cost $5 each and adult tickets cost $10 each. The theater can seat
up to 350 people. Select all the combinations of children and adult tickets
that will make the $2000 goal.
There are several possible answers.
A- (80, 150)
B- (40, 200)
C- (60, 150)
D- (70, 160)
E- (90, 200)
F- (200, 100)
The required number of children and adults for sitting in the theater are 300 and 50 respectively.
Explain linear equation of two variable.A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.
According to question:Let be consider number of children be x and that of adults is y.
We have,
x + y = 350-------(1)
y = 350 - x
And 5x + 10y = 2000------------------(2)
Put value of y in equation (2)
5x + 10( 350 - x) = 2000
5x + 3500 - 10x = 2000
-5x = -1500
x = 300
Then
y = 350 - x = 350 - 300 = 50
Thus, There will be 300 children and 50 adults in the theater .
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Several properties are used to evaluate this expression. identify the property used in each step. 21 + (19 + 36): (21 + 19) + 36:
21 + (36 + 0 + 19) Equals 76.
What is the property of addition?A final result is obtained by adding two or more integers together. Commutative, associative, distributive, and additive identity are the four major characteristics of b. b means that even if the order changes, the addition result will remain the same.
Equation to be used: 21 + (36 + 0 + 19)
The identity property of addition states that a + 0 = a.21 + (36 + 0 + 19) = 21 + (36 + 19)Using the commutative property of addition, a + b equals a + b.21 + (36 + 19) Equals 21 + (19 + 36)By using the associative property of addition, the formula is: a + (b + c) = a + b + c.21 + (19 + 36) Equals (21 + 19) + 36Put two more numbers within the bracket now.(21 + 19) + 36 = 40 + 36A + B Equals C, any number, using the closure property of addition.40 + 36 = 76Hence 21 + (36 + 0 + 19) Equals 76.To know more about property of addition visit:
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I understand that the you are looking for is :
Several properties are used to evaluate this expression. Identify the property used in each step.
21 + (36 + 0 + 19)
21 + (36 + 19):
21 + (19 + 36):
(21 + 19) + 36:
40 + 36
76
how many solutions are there to the equation blow? 17x-8=3x+16
The given equation is equivalent to the system
\(\begin{cases}y = 17x-8\\y = 3x+16\end{cases}\)
The linear equations have different slopes (m = 17 and m = 3), so that means the two lines intersect at exactly one location. This one intersection point means there is exactly one solution to the system.
That means there is exactly one solution to the equation 17x-8 = 3x+16
----------------
That solution is....
17x-8 = 3x+16
17x-3x = 16+8
14x = 24
x = 24/14
x = 12/7
5.1 Write down the: 5.1.1 Coordinates of D E(1 ;3) B (2)
This figure begins with the sentence, “We substitute x equals 3 and y equals 2 into both equations.” The first equation reads 3 times x minus 7equals 7. Then, 3 times 3 minus 2 equals 7. Then 7 = 7 is true. The second equation reads x minus 2y equals 4. The n times 2 minus 2 times 2 = 4. Then negative 2 = 4 is false.
The ordered pair (3, 2) made one equation true, but it made the other equation false. Since it is not a solution to both equations, it is not a solution to this system.
Exercise 5.1.1
Determine whether the ordered pair is a solution to the system: {x−y=−12x−y=−5
(−2,−1)
(−4,−3)
Answer
Exercise 5.1.2
Determine whether the ordered pair is a solution to the system: {3x+y=0x+2y=−5
(1,−3)
(0,0)
Answer
Exercise 5.1.3
Determine whether the ordered pair is a solution to the system: {x−3y=−8−3x−y=4
(2,−2)
(−2,2)
Answer
Solve a System of Linear Equations by Graphing
In this chapter we will use three methods to solve a system of linear equations. The first method we’ll use is graphing. The graph of a linear equation is a line. Each point on the line is a solution to the equation. For a system of two equations, we will graph two lines. Then we can see all the points that are solutions to each equation. And, by finding what the lines have in common, we’ll find the solution to the system.
Most linear equations in one variable have one solution, but we saw that some equations, called contradictions, have no solutions and for other equations, called identities, all numbers are solutions. Similarly, when we solve a system of two linear equations represented by a graph of two lines in the same plane, there are three possible cases, as shown in Figure 5.1.1 :
This figure shows three x y-coordinate planes. The first plane shows two lines which intersect at one point. Under the graph it says, “The lines intersect. Intersecting lines have one point in common. There is one solution to this system.” The second x y-coordinate plane shows two parallel lines. Under the graph it says, “The lines are parallel. Parallel lines have no points in common. There is no solution to this system.” The third x y-coordinate plane shows one line. Under the graph it says, “Both equations give the same line. Because we have just one line, there are infinitely many solutions.”
Figure 5.1.1
For the first example of solving a system of linear equations in this section and in the next two sections, we will solve the same system of two linear equations. But we’ll use a different method in each section. After seeing the third method, you’ll decide which method was the most convenient way to solve this system.
Exercise 5.1.4 : How to Solve a System of Linear Equations by Graphing
Solve the system by graphing: {2x+y=7x−2y=6
Answer
Exercise 5.1.5
Solve each system by graphing: {x−3y=−3x+y=5
Answer
Exercise 5.1.6
Solve each system by graphing: {−x+y=13x+2y=12
Answer
The steps to use to solve a system of linear equations by graphing are shown below.
TO SOLVE A SYSTEM OF LINEAR EQUATIONS BY GRAPHING.
Graph the first equation.
Graph the second equation on the same rectangular coordinate system.
Determine whether the lines intersect, are parallel, or are the same line.
Identify the solution to the system.
If the lines intersect, identify the point of intersection. Check to make sure it is a solution to both equations. This is the solution to the system.
If the lines are parallel, the system has no solution.
If the lines are the same, the system has an infinite number of solutions.
Exercise 5.1.7
Solve the system by graphing: {y=2x+1y=4x−1
Answer
Exercise 5.1.8
Solve the system by graphing: {y=2x+2y=−x−4
Answer
Exercise 5.1.9
Solve the system by graphing: {y=3x+3y=−x+7
Answer
Both equations in Exercise 5.1.7 were given in slope–intercept form. This made it easy for us to quickly graph the lines. In the next example, we’ll first re-write the equations into slope–intercept form.
Exercise 5.1.10
Solve the system by graphing: {3x+y=−12x+y=0
Answer
Exercise 5.1.11
Solve each system by graphing: {−x+y=12x+y=10
Answer
Exercise 5.1.12
Solve each system by graphing: {2x+y=6x+y=1
Answer
Usually when equations are given in standard form, the most convenient way to graph them is by using the intercepts. We’ll do this in Exercise 5.1.13 .
Exercise 5.1.13
Sopt form.y=12x−3m=12,b=−3{y=12x−3x−2y=4 If we solve the second equation for y, we get x−2y=4x−2y=−x+4y=12x−2m=12,b=−2
The two lines have the same slope but different y-intercepts. They are parallel lines.
Figure 5.1.3 shows how to determine the number of solutions of a linear system by looking at the slopes and intercepts.
can some one help me please
Find the tangential and normal components of the acceleration vector.
The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.
To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.
In mathematical terms:
at = dV/dt
an = (V^2) / R
where:
V is the velocity vector
t is time
R is the radius of curvature of the path.
The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.
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Find the decimal that is equivalent to
1/15?
The government sees your egg apparatus and decides to use it as a model to create structures to protect food that is dropped over areas for disaster relief. if eggs are typically 2.5 ounces and there are 16 ounces in a pound and a bag of rice is 65 pounds, assuming the size of the rice apparatus is directly proportional to the egg apparatus, how much bigger does the rice apparatus need to be?
We are given that an egg weighs 2.5 ounces and that there are 16 ounces in a pound. We also know that the rice apparatus is directly proportional to the egg apparatus. The rice apparatus needs to be the same weight and size as the egg apparatus.
To find out how much bigger the rice apparatus needs to be, we need to determine the weight of the rice apparatus. First, we calculate the weight of the bag of rice by multiplying the weight of a pound (16 ounces) by the number of pounds (65 pounds). This gives us 1040 ounces (16 * 65).
Next, we need to determine the ratio between the egg apparatus and the rice apparatus. Since they are directly proportional, we can set up a proportion using their weights:
(egg weight) / (rice weight) = (egg size) / (rice size)
Substituting the values we have, we get:
2.5 / (rice weight) = 2.5 / (1040)
Now, we can solve for the weight of the rice apparatus:
(rice weight) = (2.5 * 1040) / 2.5
Simplifying, we find:
(rice weight) = 1040
Therefore, the weight of the rice apparatus needs to be the same as the weight of the bag of rice, which is 1040 ounces.
In terms of size, since the weight of the rice apparatus is directly proportional to the egg apparatus, we can conclude that the rice apparatus needs to be the same size as the egg apparatus.
In summary, the rice apparatus needs to be the same weight and size as the egg apparatus.
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ADVANCED ASSIGNMENT (HONORS CREDIT)
2.03 Colonial Unity—Jury Template
You get to pretend to be a juror in the Boston Massacre trial. You will review the evidence presented to the jury and write about your conclusion. Go to page 5 of 2.03 to read the exhibits. Then, write your letter to the people of Boston. It will be 5 paragraphs. Click HERE for a help video.
Submit the 5 paragraphs after completing the template.
Your Name:
First paragraph
Hook your reader into wanting to read your article. Explain the background leading up to the Boston Massacre. What was happening in Boston? How did the colonists react to the British soldiers? (A good lead includes the who, what, where and when of the story).
Second paragraph
Discuss the events of the Boston Massacre and the verdict of the jury. Are the soldiers guilty or not guilty of murder? (what happened and what was the verdict)
Third paragraph
Explain one reason why the jury has reached this verdict. Which piece of testimony led you to this decision? (explain why you came to this verdict, reference evidence from the exhibits on p. 5)
There’s more …
Fourth paragraph
Explain a second reason why the jury has reached this verdict. Which piece of testimony led you to this decision? (explain why you came to this verdict, reference evidence from the exhibits on p. 5)
Fifth paragraph
Summarize and review what you wrote. (do not start this with “in summary”, just write an overview of the facts and the outcome).
The first paragraph will be: In the days leading up to the Boston Massacre, people in Boston were very unhappy with British soldiers. As more people protested against unfair actions, more violent conflicts also happened.
What is the overview of the facts and the outcome?The second paragraph is: The night of the Boston Massacre was very cold and scary. British soldiers shot at colonists who did not have any weapons. As a member of the jury, I voted that they were not responsible for the murder. The people's actions were careless, and everyone was scared and confused.
The third paragraph is: John Adams talked about how the mob was being aggressive, which made the soldiers scared. The situation affected the soldiers and they responded to a mean crowd.
The fourth paragraph is: Captain Thomas Preston's story reinforced this, illustrating that the soldiers believed there was a threat that was about to happen. They had to defend themselves because of the chaos happening around them.
The fifth paragraph is: In this difficult trial, taking into account fear, confusion, and protecting oneself, the decision honors the different viewpoints from the past. The Boston Massacre is a sad and serious event that shows how the situation influences what people do and the results that come from it.
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Note: hypothetical scenario was used.
How many nonzero terms of the Maclaurin series for In (1+x) do you need to use to estimate In(1.4) to within 0.00001 ?
Need at least n = 4 nonzero terms in the Maclaurin series to estimate ln(1.4) within 0.00001.To estimate ln(1.4) to within 0.00001 using the Maclaurin series for ln(1+x), we need to determine the number of nonzero terms required.
The Maclaurin series for ln(1+x) is given by:
ln(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...
We want to find the number of terms, denoted as n, such that the remainder term R_n is less than 0.00001. The remainder term can be expressed as:
R_n = |(x^(n+1))/(n+1)|
We can solve for n by substituting x = 0.4 (since 1.4 - 1 = 0.4) and setting R_n < 0.00001:
|(0.4^(n+1))/(n+1)| < 0.00001
Since the term (0.4^(n+1))/(n+1) is always positive, we can remove the absolute value signs:
(0.4^(n+1))/(n+1) < 0.00001
To solve this inequality, we can start by trying different values of n until we find the smallest n that satisfies the inequality.
Using a trial-and-error approach:
For n = 4: (0.4^5)/5 ≈ 0.00008192 (satisfied)
For n = 3: (0.4^4)/4 ≈ 0.0004096 (satisfied)
For n = 2: (0.4^3)/3 ≈ 0.002133333 (not satisfied)
Therefore, we need at least n = 4 nonzero terms in the Maclaurin series to estimate ln(1.4) within 0.00001.
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please help me in questions 19, 21, 24 and i’ll mark u as brainliest i promise
Answer:
19. m = -3; f(x) = -3x +5
21. m = 0; f(x) = 9
24. m = -3/2; f(x) = -3/2x +18 1/2
Step-by-step explanation:
The slope of the function is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
The y-intercept (b) can be found from the table when it includes a point (x, y) = (0, b). If the table doesn't have the y-intercept, it can be found from ...
b = y -mx
When m and b are known, the slope-intercept equation is ...
f(x) = mx +b
__
19.m = (11 -14)/(-2 -(-3)) = -3/1 = -3
The slope is -3. The function is f(x) = -3x +5.
__
21.m = (9 -9)/(2 -3) = 0/-1 = 0
The slope is 0. The function is f(x) = 9.
__
24.m = (14 -17)/(3 -1) = -3/2
b = 17 -(-3/2)(1) = 18 1/2
The slope is -3/2. The function is f(x) = -3/2x + 18 1/2.
A bakery sold a total of 200 cupcakes in a day, and 42 of them were chocolate flavored. What percentage of cupcakes sold that day were chocolate flavored?.
Percentage of cupcakes which was chocolate flavored = 21%. The formula to calculate percentage is (x/100 * total number of items = given no of items).
Let x be the percentage of chocolate flavored cupcakes
Therefore,
x% of 200 = 42
Since the total no. of cupcakes is 20.
=> x/100 * 200 = 42
=> x * 2 = 42
=> x =21
Hence the required percentage is 21 %.
A % is a number without dimensions. It is a ratio or a number that is written as a fraction of one hundred. The percentage sign (%) is the symbol used to represent a percentage. Pct and pc are two examples of the acronyms used. Typically, the relative amount of the entire number is expressed using the percentage.
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How do you solve inequality questions?
An inequality like the statement, x + 3 > 5, can be solved by finding the value of the variable, "x", which is x > 2.
How to Solve an Inequality Question?Inequalities are used to express relationships between quantities or values that are not equal. They can be used to describe constraints or limitations on a solution to a problem, or to represent a range of possible values.
Inequality can also be used to describe relationships between variables in algebraic expressions or equations.
To solve an inequality, we need to isolate the variable in the given statement to determine the value of the variable.
For example, given the inequality, x + 3 > 5, in order to solve this inequality, we need to find the value of x by subtracting 3 from both sides:
x + 3 - 3 > 5 - 3
x > 2.
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how do you find the valume
Answer:
Volume = length x width x height.
You only need to know one side to figure out the volume of a cube.
The units of measure for volume are cubic units.
Volume is in three-dimensions.
You can multiply the sides in any order.
Which side you call length, width, or height doesn't matter.
Step-by-step explanation:
The length of the rectangle is (4x + 2) and width of the rectangle 6x. Find the
perimeter of the rectangle.
A.10x + 2
B.20x + 4
C.10x + 4
D.20x - 4
Answer:
B. 20x + 4
Step-by-step explanation:
Perimeter of a rectangle = 2 × (Length + Width)
= 2 × [(4x + 2) + 6x]
Expand the brackets and bring like terms together:
= 2 × [4x + 2 + 6x]
= 2 × [4x + 6x + 2]
= 2 × [10x + 2]
Expand the brackets by applying the Distributive Law:
= 20x + 4
Option B.
In which situation do the quantities combine to make 0?
A-Juan spent $20. The next day, he earned $10 per hour for 2 1/2 hours
of babysitting
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
C-The predicted high temperature for a winter day is 7°C and the predicted low temperature is -7°C.
D- A deep-sea diver descends 15 meters, pauses, and then descends another
15 meters.
Answer:
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
Step-by-step explanation:
In parallelogram QRST, diagonals QS and RT intersect at point E. Which statement is always
true?
QS I RT
QT = RS
AQSR = AQST
ZTQS = ZQST
The statement that is always true in parallelogram QRST with diagonals QS and RT intersecting at point E is ZTQS = ZQST.
The question is about a parallelogram QRST and its diagonals QS and RT intersecting at point E.
To determine which statement is always true, we need to use the properties of parallelograms and diagonals.
Statement 1: QS I RT - This statement is not always true. It is true for a parallelogram, but not necessarily for a general quadrilateral.
Statement 2: QT = RS - This statement is not always true. It is true only for a parallelogram where opposite sides are congruent.
Statement 3: AQSR = AQST - This statement is not always true. It is true only for a parallelogram where opposite angles are congruent.
Statement 4: ZTQS = ZQST - This statement is always true. When the diagonals of a parallelogram intersect, they bisect each other. This means that angle ZTQ is congruent to angle ZQS, and angle ZQT is congruent to angle ZST. Therefore, angle ZTQS is congruent to angle ZQST.
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what expression is this?
Answer:
the 3rd choice po
ang sagot po
a function object is a value you can assign to a variable or pass as an argument. for example, do twice is a function that takes a function object as an argument and calls it twice:
A function object is a value that can be assigned to a variable or passed as an argument. For example, the "do_twice" function is a function that takes a function object as an argument and calls it twice.
In Python, functions are first-class objects, which means they can be treated just like any other value. This allows us to assign functions to variables, pass them as arguments to other functions, and even return them from other functions.
Here's an example of the "do_twice" function in Python:
def do_twice(func):
func() # Call the function object the first time
func() # Call the function object the second time
def say_hello():
print("Hello!")
do_twice(say_hello) # Output: "Hello!" twice
In this example, the "do_twice" function takes a function object, func, as its argument. It then calls the func twice by invoking it as func(). The say_hello function is defined separately and passed as an argument to do_twice. When do_twice is called with say_hello, it executes say_hello two times, resulting in the output "Hello!" printed twice.
A function object in Python is a value that can be assigned to variables or passed as arguments to other functions. The ability to treat functions as first-class objects allows for flexible and powerful programming techniques, such as higher-order functions and function composition.
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What is the diameter of a hemisphere with a volume of 863\text{ in}^3,863 in 3 , to the nearest tenth of an inch?.
The diameter of a hemisphere with a volume of 863 in^3 is 40.596 in.
In the given question we have to find the diameter of a hemisphere with a volume of 863 in^3.
As we know that the volume of hemisphere is (2/3)πr^3 cubic unit.
The given volume of hemisphere is 863 in^3.
Now we firstly finding the radius of hemisphere then we find the diameter of hemisphere
The volume of hemisphere = 863 in^3
(2/3)πr^3 = 863
We know that; π = 22/7
(2/3) * (22/7) *r^3 = 863
44/21 * r^3 = 863
Multiply by 21/44 on both side, we get
r^3 = 863*21/44
r^3 = 411.89
r^3 = 412 (approx)
Taking cube root on both side, we get
r = 20.298
Now finding the diameter,
Diameter = 2*radius
Diameter = 2*20.298
Diameter = 40.596 in
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Hello everyone… Please answer … Let's solve a little logic : )
What could be the answer?
Have a nice day and thanks
Answer:
B
Step-by-step explanation:
1/6y + 3/6y = 10
Hurry plaz
Y=15
1. use standard form
2/3y _ 10 = 0
2. Factorization
2/3 (y _ 15) =0
3. solution
y = 60/4
y = 15
All numbers that are divisible by 3, are divisible by 9. What is a gals Statement?
Answer: False, it's the other way around
Step-by-step explanation:hope it helps, brainliest? i could really use it
what is the missing number ?
1 4/12 + 6/? =2
Answer:
8/12
Step-by-step explanation:
1 4/12 + 8/12 = 2
4/12 + 8/12 = 1
1 + 1 = 2
Given g(x)=4x-2/5 find the inverse
Answer:
g^-1(x)=1/4x+1/10
Step-by-step explanation:
y=4x-2/5
x=4y-2/5
4y-2/5=x
20y-2=5x
20y=5x+2
y=1/4x+1/10
g^-1(x)=1/4x+1/10
I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
Help me with this!
Find Quadratic Term, Linear Term, and Constant
ASAP
Answer:
A linear term is a term with a degree of 1, or simply x
Constant is just letter without number
And I dont know what a Quadratic Term is.
Im so sorry if this does not help
Step-by-step explanation:
A contractor purchases 9 doors at $145.98 each and 4 toilets at $129.45 each.
How much is the total bill before taxes?
Answer:
The contractor pays $1831.62 before taxes
Step-by-step explanation:
First, let's write the equation:
(145.98 x 9) + (129.45 x 4) = ?
145.98 multiplied by 9 is 1313.82
1313.82 + (129.45 x 4) = ?
129.45 multiplied by 4 is 517.8
1313.82 + 517.8 =
1831.62
I hope this helps :)