Answers
The the required value of function of the expression when x equal to 5 i.e f(5) is 167.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given expression is
f(x) =\(7x^{2} -8\)
We have to find the value of f(5).
According to given question we have
f(x) =\(7x^{2} -8\)
Put the value of x= 5 in the given function we get,
f(x) =\(7x^{2} -8\)
f(5) =\(7(5)^{2} -8\)
After simplifying we get
f(5)=167
Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.
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Related Questions
What is the mean of the following numbers? 24, 53, 63, 27, 87, 40
Answers
Answer:
49
Step-by-step explanation:
Add up all the numbers and divide by how many numbers there are.
Answer:
49
Step-by-step explanation:
the sum of all the numbers is 294
294÷6=49
What is the value of z?
Answers
explanation: in order to find z you need to add all of the angles given together, and all triangles equal to 180 . so 8z+12^+19z+15z=180
42z+12=180
subtract 12 from 180 then your left with
42z=168
divide 42 on both sides
and you get 168/42 = 4
z=4
geometry
please solve asap!
Answers
The value of y in the diagram of the similar triangles is estimated as 105.75 units.
Define the similarity of the triangle?Two triangles are classified as comparable if their two sides are in the same ratio as the two sides of this other triangle and their two sides' angles inscribed in both triangles are equal.When the sides are proportionate and the two corresponding angles are congruent, two triangles are referred to as comparable.For the given triangle.
In smaller triangle, using the Pythagorean theorem.
x² = c² + a²
x² = 2.8² + 5.3²
x = 35.93
Using the similarity of triangle.
a/b = x/y
5.3/15.6 = 35.93/y
y = 35.93*15.6 / 5.3
y = 105.75
Thus, the value of y in the diagram of the similar triangles is estimated as 105.75 units.
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a jet airliner travels 1680 miles in 3 hours with a tail wind. the return trip, into the wind, takes 3.5 hours. write a system of equations whose solution is the ground speed of the airplane and the wind speed.
Answers
A system of equation is 1680mi3hr = p−w×600×2hr -p + w for a jet airliner travels 1680 miles in 3hours with a tail wind.
Let p be the speed of the jet airliner
and w be the speed of the tail wind
It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get
1680mi3hr = p−w×600×2hr = p + w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation, we use
200mph = p - w
Add w to both sides:
p = 200mph + w
Using the value of x, we can found the value of w using system of equations.
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
On dividing by 2:
50mph = w
So the speed of the tail wind is 50mph.
Therefore, 200mph = p - 50mph
Add 50mph on both sides:
250mph = p
Hence, speed of jet airliner is 250mph.
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Recall that PHYS 3210 is also a class in mathematical methods. Well, the calculus of variations is surely a mathematical method. So, as a refreshing mathematical diversion, here are a couple of exercises in practicing the calculus of variations. Find the curves in the x−y plane that make the following integrals stationary. In each case, you should find a general formula for y(x), involving constants that depend on the boundary conditions. (2 points each) (a) S=∫
x1
x
2
dx
x
1+y
′2
(b) S=∫
x1
x
2
dx(y
′2
+y
2
)
Answers
The general solution for the differential equation \(\(y'' - \frac{y'}{x} = 0\) is \(y(x) = C_1x^{m_1} + C_2x^{m_2}\)\), where \(\(C_1\)\) and \(\(C_2\)\\\) are constants, and \(\(m_1\)\) and \(\(m_2\)\) are arbitrary exponents.
(a) To find the curve in the x-y plane that makes the integral \(\(S = \int_{x_1}^{x_2} \frac{1 + y'^2}{x} \, dx\)\) stationary, we apply the Euler-Lagrange equation:
\(\(\frac{d}{dx}\left(\frac{\partial f}{\partial y'}\right) - \frac{\partial f}{\partial y} = 0\)\)
where \(\(f = \frac{1 + y'^2}{x}\).\)
Taking the derivatives, we have:
\(\(\frac{d}{dx}\left(\frac{\partial f}{\partial y'}\right) = \frac{d}{dx}\left(\frac{2y'}{x}\right) = \frac{2y''}{x} - \frac{2y'}{x^2}\)\\\\\(\frac{\partial f}{\partial y} = 0\)\)
Setting these equal to each other, we get:
\(\(\frac{2y''}{x} - \frac{2y'}{x^2} = 0\)\)
Simplifying, we have the second-order differential equation:
\(\(y'' - \frac{y'}{x} = 0\)\)
To find the general formula for y(x), we solve this differential equation with appropriate boundary conditions.
(b) To find the curve in the x-y plane that makes the integral \(\(S = \int_{x_1}^{x_2} (y'^2 + y^2) \, dx\)\) stationary, we apply the Euler-Lagrange equation:
\(\(\frac{d}{dx}\left(\frac{\partial f}{\partial y'}\right) - \frac{\partial f}{\partial y} = 0\)\)
where \(\(f = y'^2 + y^2\).\)
Taking the derivatives, we have:
\(\(\frac{d}{dx}\left(\frac{\partial f}{\partial y'}\right) = \frac{d}{dx}(2y') = 2y''\)\\\\\(\frac{\partial f}{\partial y} = 2y\)\)
Setting these equal to each other, we get:
\(\(2y'' - 2y = 0\)\)
To solve the differential equation \(\(y'' - \frac{y'}{x} = 0\)\) with appropriate boundary conditions, we can proceed as follows:
First, let's rewrite the equation in a standard form by multiplying through by x:
\(\[xy'' - y' = 0\]\)
Now, let's solve this second-order linear homogeneous differential equation by assuming a solution of the form \(\(y(x) = x^m\)\). Substituting this into the equation, we have:
\(\[x(mx^{m-1}) - (mx^m) = 0]\\\\\[mx^{m} - mx^{m} = 0]\\\\\[0 = 0\]\)
This equation is satisfied for any value of m. Therefore, we have a family of solutions in the form \(\(y(x) = C_1x^{m_1} + C_2x^{m_2}\)\), where \((C_1)\) and \((C_2)\) are constants, and \(\(m_1\)\) and\(\(m_2\)\) are arbitrary exponents.
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Please Help me it’s question 8
Answers
Answer:
the answer is c
toatally unrealated:
if you find yourself stumbbled like this again in multiple chice questions, there is a 60% chance the answer is c
What is the slope of the line y=1/2x+4
Answers
0.02 divided by 924.3
Answers
Answer:
46215
Step-by-step explanation:
I NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!
NEED HELP WITH THE ONES THAT ARE HIGHLIGHTED PLEASE!!!!!1
Answers
11. -4
21. -3
14. -20
Hope these answers are correct
--
-2
-
a) What is the slope and the y-intercept of the equation?
y-intercept
slope -
b) Write the equation for the line in the form y=mx+b
y
Answers
Out of 340 racers who started the marathon, 302 completed the race, 26 gave up, and 12 were disqualified. What percentage did not complete the marathon?
Answers
Answer:
11.18%
Step-by-step explanation:
Total = 340
Completed = 302
Not completed = 340 - 302 = 38
Not completed% = 38/340*100% = 11.18%
1. a) Give the state diagram of an NFA recognizing the following language over Σ={0,1,2} L = {w | the second symbols from the beginning and the last of w are different } b) Give the state diagram of an & -NFA recognizing the following language over Σ ={0^n12^m} L = {012m | n>0, m≥0, n+m is even }
Answers
The state diagrams illustrate the transition behavior of the NFAs for the given languages. The state diagrams show the states of the automaton and the transitions based on the consumed symbols or epsilon transitions.
a) The state diagram for an NFA recognizing the language L = {w | the second symbol from the beginning and the last symbol of w are different} over Σ = {0, 1, 2} can be represented as follows:
```
┌───┐ 0,1,2
│ q0│───────────────┐
└─┬─┘ │
│ ┌─▼─┐
0,1,2│ 0,1,2 │ q1 │
│ 0,1,2 ┌─▲─┐ └─┬─┘
│───────┐ │ q2 │ │
│ 0,1,2│ └─┬─┘ │
└───────┘ │ 0,1,2
0,1,2
```
In the above state diagram, q0 is the initial state, and q1 is the accepting state. The transition labeled with 0, 1, or 2 represents that the corresponding symbol is consumed and the NFA transitions to the next state.
b) The state diagram for an ε-NFA recognizing the language L = {012m | n>0, m≥0, n+m is even} over Σ = {0, 1, 2} can be represented as follows:
```
┌───┐ ε ε ε
│ q0│─────────►q1◄───────►q2◄───────►q3
└─┬─┘ 0,1,2 ε ε
│
│ ε ε ε
└─────────►q4◄───────►q5◄───────►q6
0,1,2 ε ε
```
In the above state diagram, q0 is the initial state, q3 and q6 are the accepting states. The transitions labeled with 0, 1, or 2 represent consuming the corresponding symbol, while ε transitions represent epsilon transitions (no symbol consumption). The ε transitions allow for flexibility in the number of zeros at the beginning of the string (represented by q1, q2, q4, q5) and the presence or absence of the digit '1' (represented by q2 and q5).
In conclusion, The NFAs are designed to recognize specific patterns or conditions in the input strings to determine if they belong to the specified languages.
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x+2=4(2x + 3)-3
X = ?
Answers
Answer:
x= 3x/7 - 10/7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -1Step-by-step explanation:
x+2=4(2x + 3)-3
x+2=8x+9
2=8x+9−x
2=7x+9
2-9=7x
-7=7x
-7/-7=7x/-7
-1 = x
x=-1
In the future, Free Corporation, will receive $520,000. If the future receipt is discounted at an interest rate of 12% and its present value is $210,018 in how many years is the $520,000 received? a. 9 years: b. 6 years c. 7 years d. 8 years
Answers
The future receipt is discounted at an interest rate of 12% and its present value is $210,018 in 7 years is the $520,000 received.
The formula for calculating present value is:
PV = FV / (1 + r)^n
Where:
PV = Present Value
FV = Future Value
r = Interest Rate
n = Number of years
Rearranging the formula to solve for 'n' (number of years):
n = log(FV / PV) / log(1 + r)
Plugging in the given values:
PV = $210,018
FV = $520,000
r = 12% or 0.12
n = log(520,000 / 210,018) / log(1 + 0.12)
Using a calculator, we can find the approximate value of 'n':
n ≈ 7.2 years
Therefore, in approximately 7.2 years, the $520,000 will be received. Rounding to the nearest whole number, the answer is (c) 7 years.
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Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1
graph of a line passing through the points negative 2 comma 0 and 0 comma 1
graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
Answers
The correct graph which represents the equation y = 1/2x - 1 is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 1/2x - 1
Now, After draw the equation we get;
Graph of a line passing through the points (-2, - 2) and (0, - 1).
Thus, The correct statement is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
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1. A Maths test is to consist of 10 questions. What is the probability that the shortest and longest questions are next to one another?
1st method:
Group the shortest and longest questions together, so this group can be arranged in 2! ways. Then, there are 9 groups (the 8 other questions are their own individual group), and these 9 groups can be arranged in 9! ways. Since there are 10! total ways of arranging these 10 questions, the answer is (2! x 9!)/10! = 1/5. This is the correct answer.
Alternate 2nd method:
Group the shortest and longest questions together, and also group the other 8 questions together. These groups can be arranged in 2! and 8! ways, respectively. These groups can also be swapped around, so in 2! ways. Total number of ways is still 10!, so the answer for this method is (2! x 8! x 2!)/10! = 2/45.
Why doesn't the second alternate method give the same result as the first method?
Answers
The first method calculates the probability of arranging 10 questions in a specific order using factorials and division. The second alternate method attempts to group the questions and arrange them separately. However, it yields a different result from the first method.
The discrepancy between the two methods arises due to the way the questions are grouped and arranged. In the first method, the questions are divided into two distinct groups: the shortest and longest questions, and the other 8 questions. The arrangement of these groups is taken into account. However, in the second alternate method, the questions are grouped differently, combining the shortest and longest questions. This grouping and arrangement differ from the first method, leading to a different probability calculation. Therefore, the second alternate method yields a different result from the first method.
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7. A worker earning $13. 66 per hour works 47 hours in the first week and 42 hours in the second week. What are his total biweekly earnings if his regular workweek is 40 hours and all overtime is paid at 1. 5 times his regular hourly rate?
Answers
the worker's total biweekly earnings would be $1277.55.
To calculate the worker's total biweekly earnings, we need to consider the regular pay for the hours worked up to 40 hours per week, as well as any overtime pay for the additional hours worked.
Let's break down the calculation:
Regular pay for the first week:
Regular workweek: 40 hours
Hours worked in the first week: 47 hours
Overtime hours: 47 - 40 = 7 hours
Regular pay for the first week: 40 hours * $13.66/hour = $546.40
Overtime pay for the first week: 7 hours * $13.66/hour * 1.5 = $143.71
Total earnings for the first week: $546.40 + $143.71 = $690.11
Regular pay for the second week:
Regular workweek: 40 hours
Hours worked in the second week: 42 hours
Overtime hours: 42 - 40 = 2 hours
Regular pay for the second week: 40 hours * $13.66/hour = $546.40
Overtime pay for the second week: 2 hours * $13.66/hour * 1.5 = $41.04
Total earnings for the second week: $546.40 + $41.04 = $587.44
Total biweekly earnings: $690.11 + $587.44 = $1277.55
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Evaluate 6x - (3y + 7) - xy when x = 5 and y = 3.
Answers
Answer:
-1
Step-by-step explanation:
6(x) - (3y + 7) - xy
6(5) - (3(3) + 7) - (5)(3)
30 - (9+7) - 15
30 - 16 - 15
-1
Hope this helps! Pls give brainliest!
Answer:
-1
Step-by-step explanation:
1. replace all the variables with the values it gives you-
6(5) - [ 3(3) + 7] - (5)x(3)
2. then if you combine everything using pemdas-
30 - (9 + 7) - 15
3. repeat step #2-
30 - 16 - 15
4. then solve-
30 - 16 = 14 then subtract 15 to give you -1
Which of the following is NOT considered a parallelogram?
A. Rhombus
B. Rectangle
C. Square
D. Trapezoid
Answers
Answer:
Trapezoid
Explanation:
A trapezoid does not have two pairs of parallel sides.
Answer: D. Trapezoid
Step-by-step explanation:
Lin wrote a proof to show that diagonal EG is a
line of symmetry for rhombus EFGH. Fill in the
blanks to complete her proof.
Answers
Because EFGH is a rhombus, the distance from E to F is the same distance from E to H. Since E is the same distance from F as it is from H, it must lie on the perpendicular bisector of FH. By the same reasoning, G must lie on the perpendicular bisector of FH. Therefore, line EG is the perpendicular bisector of segment FH. So, reflecting rhombus EFGH across line FH will take E to G and G to E (because E and G are on the line of reflection) and F to H and H to F (since FH is perpendicular to the line of reflection, and R and H are the same distance from the line of reflection, on opposite sides). Since the image of rhombus EFGH reflected across EG is rhombus EHGF (the same rhombus), line EG must be a line of symmetry from rhombus EFGH.
PLS HELPP I NEED AN ANSWER ASAP ILL GIVE BEAINLIEST
Answers
The top right graph could show the arrow's height above the ground over time.
Which graph models the situation?The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.
This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.
The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.
Hence the top right graph could show the arrow's height above the ground over time.
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PLEASE HELP!!!!!
Let event A= The student plays Basketball
Let event B= The student plays soccer
What is P(A or B)
Answers
Answer: it’s 7/1”
Step-by-step explanation: just took it
Write the curve described by the parametric equations x=5-cost and y=2+2sint in rectangular form.
a. -(x-5)^2+(7-2/2)^2=1
b. (x-5)^2-(y-2/2)^2=1
c. -(x-5)^2-(y-2/2)^2=1
d. (x-5)^2+(y-2/2)^2=1
Answers
The answer is (b) (x-5)²-(y-2/2)²=1. To eliminate the parameter, we can use the trigonometric identity:
cos²(t) + sin²(t) = 1
Solving for cos(t), we get:
cos(t) =√(1 - sin²(t))
Substituting this into the equation for x, we have:
x = 5 - cos(t) = 5 - √(1 - sin²(t))
Simplifying further, we get:
x - 5 = -√(1 - sin²(t))
Squaring both sides, we have:
(x - 5)² = 1 - sin²(t)
Substituting the equation for y, we get:
(x - 5)² + \((y - 2)^{2/4}\)= 1
Therefore, the answer is (b) (x-5)²-(y-2/2)²=1.
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Giving brainlest too the right answer
Answers
Answer:
3, 700, 1.05.
Step-by-step explanation:
Answer:
3, 700, 1.05
Step-by-step explanation:
rayne has 6 maters of clothe she will use it for making scarves how many scarves can she make if each scarf needs 2/3 matter?
Answers
Answer:
9 is answer
Step-by-step explanation:
Hehe..hope it helps
For a distribution that is symmetric the left whisker is.
Answers
For a symmetric distribution, the left whisker extends from the median to the minimum value in the dataset.
The left whisker represents the lower values or the lower tail of the distribution. It is also referred to as the "lower whisker" or the "whisker on the left side". The length of the left whisker may vary depending on the spread or range of the data.
In a box plot or box-and-whisker plot, the left whisker represents the lower values or the lower tail of the distribution. It indicates the range of values that lie below the median. The length of the left whisker is determined by the spread or range of the data.
If the data has a smaller range and is more tightly clustered around the median, the left whisker will be shorter. This indicates that the lower values in the dataset are relatively close to the median. On the other hand, if the data has a larger range and is more spread out, the left whisker will be longer. This suggests that the lower values in the dataset are more dispersed or spread out from the median.
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a hamburger regularly cost $6.00 each additional topping cost $0.59. on Monday the cost of hamburger only is half off
Answers
The equation that represents the cost of the hamburger with additional topping will be c = 0.295t + 3.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A burger consistently cost $6.00 each extra fixing cost $0.59.
Let 'c' be the cost and 't' be the cost of topping. Then the equation is given as,
c = 0.59t + 6
On Monday the expense of the burger just is half off. Then the equation is given as,
c = 0.50(0.59t + 6)
c = 0.295t + 3
The equation that represents the cost of the hamburger with additional topping will be c = 0.295t + 3.
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Picture of question below:
Answers
Answer:
you lifted weights for three hours
Step-by-step explanation:
A projectile’s motion can be modeled by the quadratic equation: h left parenthesis t right parenthesis space equals space minus g t squared space plus space v subscript 0 t space plus thin space h subscript 0 g is 16 if in feet and 9 if in meters;; t = time in second elapsed from release of projectile; v0= initial velocity; h0 = initial height. Write the equation for a projectile that is dropped (v0 = 0) from a height of 100 ft. When will it hit the ground? Change the equation to reflect that the object is thrown upward from an initial height of 6 ft at 30 ft/sec. When will the object be back at the starting height? Hit the ground?
Answers
The projectile motion equation \(h(t) = - g \cdot {t}^{2} + v_{0}\cdot {t} + h_{0}\), gives;
First part;
The object will hit the ground in 2.5 secondsSecond part;
The object will be back at the starting point in 1.875 secondsThird part;
The object will hit the ground in approximately 2.06 secondsHow can the projectile motion information be found?The quadratic equation that represents the projectile motion can be presented as follows;
\(h(t) = - g \cdot {t}^{2} + v_{0}\cdot {t} + h_{0}\)
g = 16 ft./s² or 9 m/ s²
First part;
When
\( v_{0} = 0 \: and \: h_{0} = 100 \: ft.\)
We have;
h(t) = -16•t² + 100
When the object hits the ground, we have;
h(t) = 0, which gives;
0 = -16•t² + 100
Therefore;
16•t² = 100
t² = 100 ÷ 16 = 25/4
t = √(25/4) = 5/2 = 2.5
The time it takes the object to reach the ground is 2.5 seconds.Second part;
The direction in which the object is thrown = Upwards
Initial height of the object, \( h_{0} = 6 \: ft\)
Initial speed of the object, \( h_{0} = 30 \: ft/sec\)
The equation of the projectile motion is therefore;
h(t) = -16•t² + 30•t + 6
Which gives;
When the object is at its starting height of 6 feet, h(t) = 6, which gives;
6 = -16•t² + 30•t + 6
-16•t² + 30•t = 0
A solution to the above equation is t = 0
The other solution is found as follows;
-16•t² + 30•t = 0
-16•t + 30 = 0
30 = 16•t
t = 30/16 = 1.875
The object will be back at the starting height at 1.875 secondsThird part;
When the object hits the ground, we have;
h(t) = 0, which gives;
0 = -16•t² + 30•t + 6
Which gives;
t ≈ 2.06
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I need help pls for this
Answers
According to the question,
Time taken by Jesse to run 1 mile = 7 minutes
Also,
Time taken by Jesse to run 1 mile = 2½ minutes + Michael's time \(\;\)
Now, we can say that :
⇒ 7 minutes = 2½ minutes + Michael's time
⇒ (7 - 2½) minutes = Michael's time
⇒ (7 - 5/2) minutes = Michael's time
⇒ (14 - 5)/2 minutes = Michael's time
⇒ 9/2 minutes = Michael's time
⇒ 4½ minutes = Michael's time [Answer]
Step-by-step explanation:
Question:-In track practice, Jesse ran a mile in 7 minutes. His mile time was2.5 minutes faster than Michael's time. Write and solve an equation to calculate Michael's mile time.
Solution
Jessie time 7 minute
Michael’s time is 2.5 times slower
Divide 7 minutes by 2.5 to get answer
Jesse = 7
Michael = 2.5 X
7 = 2.5 X
7/2.5 X = 17.5 to check answer divide 17.5 by the 2.5, your answer is 7.
Or if it was 2.5 more
we subtract 2.5 from 7
=> 7 - 2.5
=> 4.5
=> 4 ½
----