Skye's estimated cost per year with the financial aid, is x - 6400
The estimated costFrom the question, we have the following
Scholarship and grant = $4300
Work-study = $2100
So, the total is
Total = 4300 + 2100
Total = 6400
This is then subtracted from the total estimated expenses for the year
Representing this with x, we have
Estimated cost = x - 6400
How much will Skye contribute each yearIn (a), we have
Estimated cost = x - 6400
Then we have
Famiily = 7000
This means that
Skye's contribution = x - 6400 - 7000
Evaluate
Skye's contribution = x - 13400
Checking if Skye will save enoughWe have
Monthly savings = $300
So, the total savings per year is
Annual = $3600
In (b), we have
Skye's contribution = x - 13400
So, the remaining is
Remaining = x - 13400 - 3600
Evaluate
Remaining = x - 17000
The above may or may not cover the total expenses, depending on the value of x
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5 out of 6 students baseball is their favorite sport what is the decimal equivalent for the number of students who choose baseball .
Answer:
5/6 (if using calculator enter answer) =0.833
or 5÷6 = 0.833
Step-by-step explanation:
since 5 out of the 6 people chose baseball you put 5 (the chosen) over 6(the total number) and then you change the fractional into a decimal by dividing
Point F° is the image when point F is reflected over the line x = -2 and then over the line y = 3. The location of F° is (5, 7). Which of the following is the location of point F7
A(-5,-7)
B(-9,-1)
C(-1,-3)
D(-1,-13)
The location of the given point F7 is: B(-9, -1)
How to find the coordinates after transformation?There are different transformations such as:
Reflection
Translation
Rotation
Dilation
Since Point F' is the image when point F is reflected over the line x= -2 and then over the line y = 3. The location of F' is (5, 7).
So here we have to do graph the points, then connected the points i.e. 5 and 7. And, then reflect it over the line i.e. x = -2, and y = 3
So here the answer should be (-9,-1)
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HELP DOES ANYONE GET THIS? This is my “math help” class and I still don’t understand
Answer:
there are dots outside of the allotted area
Step-by-step explanation:
I've never taken a math help class but from your paper one can assume you have to point out the error in the graph. Its a bit fuzzy so I cant see the numbers or labels but you take what you learned for how to graph and apply it here.
For example:
The dots should stay inside the graph. Not on the outside
The numbers that are on the side, the axis, they should all progress in a specific sequence. Like 2,4,6,8,10. It needs to stay constant. Not 2,4,6,8,19
Same for both x and y axis^
I'm not sure if that helps much with what your doing seeing as the instructions apply what you've already learned, but I hope you do good!
solve the equation 2(x+2x)=36
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(x + 2x) = 36
Step 2: Solve for x
Combine like terms: 2(3x) = 36Divide both sides by 2: 3x = 18Divide both sides by 3: x = 6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(6 + 2(6)) = 36Multiply: 2(6 + 12) = 36Add: 2(18) = 36Multiply: 36 = 36Here we see that 36 does indeed equal 36.
∴ x = 6 is the solution to the equation.
Answer :
2(x+2x)=36
2x + 4x =36
6x =36 is the answer
Hope it helped
Please help! Correct answers only please!
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
The answer would be 2/3.
Step-by-step explanation:
There are 6 faces on a dice 3 of which are odd which would be 1/2. Then there is one face on a dice that has 3 dots on it which would 1/6. So 1/2+1/6= 4/6 which simplifies to 2/3.
The point (rote 3, -1)is on the terminal side of the an angle theta. Find sin theta
We have that the angle is 330°
Now
\(\sin (330)=-\frac{1}{2}=-0.5\)Find the largest number δ such that if |x − 1| < δ, then |2x − 2| < ε, where ε = 1.
δ ≤
Repeat and determine δ with ε = 0.1.
δ ≤
If ε = 1, the maximum value of δ that satisfies the condition |x - 1|. satisfied <; δ means |2x - 2| <; ε is δ ≤ 0.5. For ε = 0.1, the maximum value of δ that satisfies the condition is δ ≤ 0.05 for largest number.
We need to find the maximum value of δ such that |x - 1|. Applies <; δ, then |2x - 2| <; e.
If \(ε = 1\):
We begin by analyzing the inequality |2x - 2|. <; 1. Simplify this inequality to -1 <. 2x - 2 <; 1. Add 2 to all parts of the inequality and you get 1 <. 2x < 3. Dividing by 2 gives 0.5 < × < 1.5. Since the difference between the upper and lower bounds is 1, the maximum value of δ is 0.5.
If \(ε = 0.1\):
Apply the same procedure to the inequality |2x - 2|. Simplifying to < by 0.1 gives -0.1 <. 2x - 2 <; Add 2 to every part of 0.1 and you get 1.9 <. 2x < 2.1. Divide by 2 to get 0.95 <. × < 1.05. The difference between the upper and lower bounds is 0.1, so the maximum value of δ is 0.05.
Therefore, \(ε = 1 δ ≤ 0.5 and ε = 0.1 δ ≤ 0.05\).
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A new truck cost $32,000. The truck's value
depreciates at a rate of 9% each year. How
much will the truck be worth after 5 years?
Answer: $17,600
Step-by-step explanation:
find the value of 9% of 32,000 (Divide). Multiply that by 100. multiply by 5. Subtract the product by 32,000
What is an equation in the form of y= MX + b to describe the graph
Answer:
y=2x-2
Step-by-step explanation:
m= slope= rise/ run. 2/1=2
Y intercept is -2, so the linear equation equals y=2x-2
at least how many integers must you pick in order to be sure that at least four of them are equal modulo 5?
The least number of integers to pick to be sure that at least four of them are equal to modulo 5 are 16 integers .
In the question ;
We have to find the least number of integers to be sure that at least four of them are equal to modulo 5 .
this question means that , we have to find the integers we must pick in order to be sure that at least two of them have same remainder when divided by 15 .
We take ⇒ 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
So , we have 0 \(=\) 5 \(=\) 10 \(=\) 15 in mod 5
Thus , we need 16 integers so that at least Four of them are equal to mod 5.
Therefore , the least number of integers is 16 .
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Find the general indefinite integral: S(csc²t - 2e^t)dt
The general indefinite integral of S(csc²t - 2\(e^t\))dt is 1/sin(t) - 2\(e^t\) + C
First, let's recall some basic rules of integration. The integral of a sum of functions is the sum of their integrals, and the integral of a constant times a function is the constant times the integral of the function. We also have some basic integration formulas, such as the integral of sin(t)dt = -cos(t) + C and the integral of \(e^t\) dt = \(e^t\) + C, where C is the constant of integration.
Now, let's consider the first term of the integrand, csc²t. This function can be rewritten using trigonometric identities as 1/sin²t. To integrate this function, we can use the substitution u = sin(t), du/dt = cos(t) dt, and rewrite the integral as ∫-1/u² du. Using the power rule of integration, we get ∫-1/u² du = 1/u + C = 1/sin(t) + C.
Next, let's consider the second term of the integrand, -2\(e^t\). This function is already in the form of the integral of \(e^t\) dt, but with a constant factor of -2. Using the constant multiple rule of integration, we get -2 ∫\(e^t\) dt = -2\(e^t\) + C.
Putting these two results together using the sum rule of integration, we get the general indefinite integral of S(csc²t - 2e^t)dt:
∫S(csc²t - 2\(e^t\))dt = ∫S(csc²t)dt - ∫2(S \(e^t\))dt = 1/sin(t) - 2\(e^t\) + C
where C is the constant of integration.
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Find all values of δ>0 such that ∣x−2∣<δ->∣4x−8∣<3 Your answer should be in interval notation. Make sure there is no space between numbers and notations. For example, (2,3),[4,5),[3,3.5), etc.. Hint: find one such value first.
δ > 0 such that ∣x-2∣<δ -> ∣4x-8∣<3 is represented in interval notation as (1/4, 5/4).
Given ∣x-2∣<δ -> ∣4x-8∣<3, we need to find all values of δ > 0 such that the inequality holds. To find one such value, let us consider δ = 1/4. Then, ∣x-2∣<1/4 => -1/4 < x-2 < 1/4 => 7/4 < x < 9/4. Now, we can substitute x with its values in the inequality ∣4x-8∣<3 to check if it holds. For x = 7/4, ∣4x-8∣=0 and thus, the inequality is satisfied. For x = 9/4, ∣4x-8∣=4 and thus, the inequality is not satisfied. Thus, we have found one value of δ such that the inequality holds. To find all such values, we need to find the largest possible value of δ for which the inequality holds. Using the same approach as above, we get ∣x-2∣<5/4 => -5/4 < x-2 < 5/4 => -1/4 < x < 9/4. Substituting x with its values, we get ∣4x-8∣<3 for all x in (-1/4, 9/4). Thus, the set of all values of δ > 0 such that the inequality holds is (1/4, 5/4).
A method for describing continuous sets of real numbers by the numbers that bind them is called interval notation. When written, intervals look like ordered pairs. However, they are not intended to emphasize any particular point. Instead, they are meant to be a quick way to describe an inequality or inequality system.
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Data table Activity Optimistic START 0 ABCDEFGHIK А J L FINISH 605 2607NTO TO 2-253 N N N M - NO 15 3 1 1 1 Time Estimates (days) Most Likely 0 0 10 1 20 10 2 2 2 3 1 Print Pessimisitic 0 OANAN www�
Answer:
This is gebber gabber but yes
Step-by-step explanation:
Solve this system of equations by graphing. First graph the equations, and then type the solution.
y=3x+1
y=5x–1
Click to select points on the graph.
Answer:
(x, y) = (1, 4) is the solution to the graph.
Step-by-step explanation:
Given the system of the equations
\(y=3x+1\)
\(y=5x-1\)
The solution graph is attached below.
From the attached solution graph,
The red line is representing the equation y=3x+1 The blue line is representing the equation y=5x–1From the graph, it is clear that both lines intersect at x=1 and y=4. So, the point where two lines intersect or meet is called the solution to the graph.
Thus, the point of intersection is (x, y) = (1, 4)
Therefore, (x, y) = (1, 4) is the solution to the graph.
Find the value of x in the following figure
Answer:
A
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x - 6 + 89 + 57 = 180 , that is
5x + 140 = 180 ( subtract 140 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8 → A
y=x+4 x+y=6 classification
and intersection point?
Answer:
SOLVE FOR Y, X
x=0
y=6
Step-by-step explanation:
y=x+4x+y=6
Consider the first equation. Combine x and 4x to get 5x.
y=5x+y
Subtract 5x from both sides.
y−5x=y
Subtract y from both sides.
y−5x−y=0
Combine y and −y to get 0.
−5x=0
Divide both sides by −5. Zero divided by any non-zero number gives zero.
x=0
Consider the second equation. Insert the known values of variables into the equation.
0+4×0+y=6
Multiply 4 and 0 to get 0.
0+0+y=6
Add 0 and 0 to get 0.
y=6
The system is now solved.
y=6
x=0
Complete the table for an object that goes 3/4 miles in 6 minutes.
Write any fraction as follows: 1/2 for one half
The speed of Ana is in miles per hour 7.5mph
By dividing the distance Ana covered by the amount of time she spent running, one may calculate her speed in miles per hour. Since the question asks for the speed to be calculated in miles per hour, an hour rather than a minute would be utilized as the unit of time.
Speed = distance ÷ time
Distance = 3/4
Time = 1/10
Speed = 3/4 ÷ 1/10
Speed = 3/4 x 10 = 15/2 miles per hour
or, 7.5mph
Divide the distance Ana covered by the time she ran to get her speed.
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The question is incomplete
Ana runs 3/4 mile in 6 minutes or 1/10 hour. Assuming she runs at a constant rate, what is her speed, in miles per hour
The rule of the following sequence is k = 3n − 1. What is the tenth term of the sequence?
2, 5, 8, 11, ...
b. Analyze What pattern do you recognize in this sequence?
Answer:
a. 29
b. 3 is added each time
Step-by-step explanation:
In the given rule, n represents the term number. So, when k=2, n would be 1 because it is the first term. Therefore, to find the 10th term, plug 10 in for n, then solve. The equation would look like \(k=3(10)-1\) which equals 29.
The pattern for this type of sequence is known as the common difference because it is the amount that is added each term. You know this because when reading the sequence you can see that it is increasing by 3. Additionally, in the rule, 3 is being multiplied by n, this shows that 3 is the common difference/pattern.
Answer:
29
Step-by-step explanation:
Help please giving points to right answer JUST NEED THE NUMBER TO FILL IN BLANK !!
Answer:
We have the proportion: 8/10 = 100/y
We can solve for y by cross-multiplying.
That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000
Dividing both sides by 8 to solve for y, y = 125
Hence, the value of y is 125.
Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5
Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4
Therefore, y = 4√5The value of y is 4√5.
Step-by-step explanation:
Hope this helps!! Have a good day/night!!
The temperature outside is -4 degrees. If it drops 5 degrees during the night, what will the
temperature be?
Answer:
-9
Step-by-step explanation:
A boat is traveling at a constant rate through the water. if it takes 15 minutes to travel 2.7 miles, how many hours will it take for the boat to finish a 17.1 mile journey?
Answer:
6.3 hours
Step-by-step explanation:
Help me out pleaseeeeeee
Which of the following equations represents the problem "The sum of two consecutive integers is -17"?
2x + 2
2x + 1 = -17
2x = -17
Answer:
2x + 1 = -17
Step-by-step explanation:
consecutive integers would be
x and x+1
when you add them together its
2x+1
Plz help help help plz plz plz
Answer:
NO
1,2,3,6
Step-by-step explanation:
THOSE ARE CORRECT
√8=2.8
Answer:
c
Step-by-step explanation:
Find the coordinates of d if e (-6,4) Is the midpoint of df and f has coordinates (-5,-3)
Answer:
Step-by-step explanation:
Let the coordinates of d be (x,y)
The midpoint of (x,y) and (-5,-3) is equal to ((-5+x)/2, (-3+y)/2)
this should be equal to the coordinates of e, (-6,4)
we have (-5/2+x/2, -3/2+y/2)
-5/2+x/2 = -6
-5 + x = -12
x = -7
-3/2+y/2 = 4
-3+y = 8
y = 11
Therefore the coordinates of d are (-7,11)
Solve for x if 2(5x + 2)² = 48.
Ox= -2+2√24 and x = -2-2√24
5
5
O x = −2+2√24 and x = -2-2√24
2
2
Ox= -2+2√6 and x = -2-2√6
5
5
Ox= -2+2√5 and x = -2-2√6
2
2
The value after simplification for the variable 'x' is: x = (2√6 -2)/5
What is simplification?
In mathematics, the term simplification is used to solve complicated equation. Basically, it convert the complicated terms into easy expression to make the calculation simple. The method is applicable in almost the equation based problems.
According to the question, the given expression for the simplification is as follows:
Required expression: 2(5x + 2)² = 48
(5x + 2)² = 24 ⇒ (5x + 2) = √24 = 2√6
⇒ (5x) = 2√6 - 2
⇒ x = (2√6 -2)/5
Hence, the value for the variable 'x' is: x = (2√6 -2)/5
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Mr. and Mrs. Happychuck had a healthy baby boy named Chuck who weighed 7.5 pounds at birth. At the end of 4 months, the baby weighed 13.5 pounds. What is Chuck's weight age ratio at 4 months? (Call on a student to answer; the ratio is 13.5 pounds to 4 months or (13.5)/4. It is important to make sure that the students always mention the units involved, in this case pounds and months. Then ask the students to calculate the rate of change of Chuck's weight, that is, how much he gained per month. Ask a volunteer to go to the board and do the work.
PLEASE I NEED HELP! I DESPERATELY NEED ALL OF THE WORK OUT TO THIS PROBLEM< PLEASE
Answer:
(13.5)/4 = 3.375
step-by-step explanation
A conceptual model that helps strategists choose between seeking internal development, entering into an alliance, or acquiring new resources, capabilities, and competencies is called the " framework. a) build-borrow-or-buy b) organic growth c) internal-versus-external growth d) capability development
Build-borrow-or-buy.
The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.
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(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.
the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.
the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.
The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.
the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.
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2x + 5y - 3x + 11y =
Answer:
− x + 16y
Step-by-step explanation:
2x + 5y − 3x + 11y
= 2x + 5y + − 3x + 11y
Combine Like Terms:
= 2x + 5y + − 3x + 11y
= (2x + − 3x) + (5y + 11y)
= − x + 16y
which of the following is the midpoint riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width?
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.
The formula for the midpoint Riemann sum is given by:
Sum = (width of interval) * (height of midpoint)
For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:
Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)
Substituting the values for each midpoint, we get the following equation:
Sum = 4 * (1 + 4^3 + 8^3 + 12^3)
This simplifies to:
Sum = 4 * (1 + 64 + 512 + 1728)
Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:
Sum = 4 * (2495)
Sum = 9980
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