Answer:
D. 330.6
Step-by-step explanation:
To evaluate the function for a specific value of x, put that value where x is in the function definition, and do the arithmetic.
__
T(x) = x +0.14x . . . . . given function definition
T(290) = 290 +0.14×290 = 290 +40.6 . . . . substitute 290 for x
T(290) = 330.6
The value of T(290) will be 330.6.The relation between them is shown as T(x) is dependent and x is the independent variable. Option D s correct.
What is a function?A connection between independent variables and the dependent variable is defined by the function.
Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.
Given relation;
T(x) = x +0.14x
Substitute the value of x we get;
T(290) = 290 +0.14×290
T(290) = 330.6
Hence, option D s correct.
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Line m passes through the points (-4,3) and (-4,7). What is the slope of the line that is parallel to line m?
Answer:
undefined
Step-by-step explanation:
Since line m passes through two points that have the same x-value but different y values, line m is horizontal to the y-axis which has an undefined slope.
i tried can you help me
Answer:
question 1
the ticket price which results in the greatest revenue is 14+8=22$
question 2
the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$
Step-by-step explanation:
the cost of a ticket to music concert is 14$
capacity of people for concert = 7500
for every increase in price attendance decreases by 250
so the required equation for getting revenue is
y = (14+x)(7500-250x)
= 105000+7500x-3500x-250x^2
by differentiating the above equation with respect to x we can find the local maxima which gives us the price for getting more revenue
dy/dx = 7500 -3500 - 500x =0
4000=500x
x= 8
from the above equation we got that if the increase in price was 8$ we will be getting the most revenue out of the concert
question 1
the ticket price which results in the greatest revenue is 14+8=22$
question 2
the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$
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a car corporation produced 1560 more cars this month than last. Write a signed number to represent this month's change in the production
Answer:
+1560
Step-by-step explanation:
Since the corporation produced 1560 more cars then the answer is simply +1560.
Which shows the correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the
quadratic formula?
Quadratic formula: x=
-b±√√b²-4ac
2a
x = −(−2) ± √(−2)² − 4(− 3)(6)
2(-3)
x= -2±√2²-4(-3)(6)
2(-3)
x==(-
x = −(−2) ± √(-2)² − 4(3)(6)
2(3)
-2±√√2²-4(3)(6)
(=
2(3)
Answer: [tex]x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(-3)(6)}}{2(-3)}[/tex]
Step-by-step explanation:
a = -3 , b = -2, and c = 6.
The correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the quadratic formula is
x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).
The correct option is A.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
To use the quadratic formula with the equation 0=-3x² - 2x + 6, we need to substitute the values of a, b, and c into the formula.
In this case, we have:
a = -3
b = -2
c = 6
Substituting these values into the quadratic formula, we get:
x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3))
Simplifying this expression, we get:
x = (2 ± √(4 + 72)) / (-6)
x = (2 ± √76) / (-6)
We can simplify further by factoring out the square root of 4 from the radical:
x = (2 ± 2√19) / (-6)
Therefore, the required value of x is x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).
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Hi people! Can you help me figure this out? I'll mark brainliest!
D. 12.5
The equation to find the average rate of change is
[tex] \frac{y2 - y1 }{x2 - x1} [/tex]
To find the average rate of change between points (0,20) and (8,120) you need to plug it into the equation so it'll be
[tex] \frac{120 - 20}{8 - 0} [/tex]
this simplifies to
[tex] \frac{100}{8} [/tex]
which is 12.5
Transform each graph as specified below.
Answer:
Transcribed image text: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Graph y=2f(x). (b) the graph of y=g(x) is shown. Graph y=g(2x).
I have a geometry question thank you!
Answer:
The answer is 1.5.
Step-by-step explanation:
I don't have one
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning
to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan
now have? Round to the nearest cent.
1 European euro =
1.3687 US dollars
Answer:
44.70 US dollars
Step-by-step explanation:
euro left=(250/1.3687)-150=32.66(rounded to nearest cents
US dollars=32.66x1.3687
=44.70US dollars
The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using α = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses H0:μ = 10,000 steps versus Ha:μ ≠ 10,000 steps where μ = the true mean number of steps taken per day.
Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?
A. u = 9,000
B. u = 9,500
C. u = 10,000
D. u = 10,500
Answer:
ok so it could be Careful because think about it 10000x 0.01...
Answer:10,000
Step-by-step explanation:
Given the coordinate T(8, -4), find the location of T after a dilation using a scale factor of 0.4.
The new coordinate will be T'(3.2 , -1.6) .
What is the meaning of Dilation ?Dilation is the transformation that changes the size of the object without changing its shape .
If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)
The coordinate given in the question is T(8, -4)
The scale factor is 0.4
The new coordinate is
T'( 0.4 * 8 , 0.4 * (-4))
T'(3.2 , -1.6)
Therefore the new coordinate will be T'(3.2 , -1.6)
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Find the 10th term of the geometric sequence whose common ratio is 3/2 and whose first term is 8
Answer: 19683/64
Step-by-step explanation:
[tex]a_{n}=8\left(\frac{3}{2} \right)^{n-1}\\\\\implies a_{10}=8 \left(\frac{3}{2} \right)^{10-1}=\boxed{\frac{19683}{64}}[/tex]
[PLEASE HELP!!!!!!!!!]
Identify which equations have one solution, Infinitely many solutions, or no solution.
y+3.2y=20 +2z-1=42+2-2z|
4.5r=3.2+4.5r 21+4=3x+2
No Solution
One Solution
Infinitely Many Solutions
3z +2.5=3.2+3z
1.1+0+2=3.1+
The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given a linear equation in one variable.
[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]
After solving:
y = 5.40 (one solution)
[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]
After solving:
[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]
[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)
3z + 2.5 = 3.2 + 3z
2.5 = 3.2 (no solution)
Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.
Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
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Weights of four-year-olds are Normally distributed, with a mean of 40 pounds and a standard deviation of 1.3 pounds. At his four-year checkup, Marlon’s weight is measured to be greater than 30% of boys his age. How much does Marlon weigh?
Find the z-table here.
37.6 pounds
38.4 pounds
38.7 pounds
39.3 pounds
Picture posted below
Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds.
We know that the formula for calculating a z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Given that mean weight = 40 pounds.
and standard deviation = 1.3 pounds.
Also given that Marlon is heavier than 30% of boys his age on average, according to measurements.
The z value of 30% is -0.524.
We can put this value in the formula.
-0.524 = (x - 40)/1.3
i.e. (-0.524) * 1.3 = x - 40
i.e. - 0.6812 = x - 40
i.e. x = 40 - 0.6812 = 39.3188
Therefore, we can conclude that Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds. So, the last option is correct.
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Please help!!! I will give 20 points to the correct answer!! Thanks so much
Answer:
either it's 7 and 3 but not sure
Step-by-step explanation:
7x3 =21
now for the negative -10 it would basically be -7+-3=-10
Rasberry Crazy Ants, a species found in wall sockets, cellphones, and television sets are
slowly spreading across Texas and are poised to spread across the entire South. Named for
Texas exterminator Tom Rasberry, who spotted ants moving in an erratic swarm in 2002,
the destructive ants are now in 23 counties in Texas, the Austin American-Statesman
recently reported. Although their march in impossible to stop, it is also quite slow. They travel at an average speed of 1.8 feet per day.
a. At that rate, how long will the swarm that is presently centered in Austin, Texas, take to reach your home? Express your answer in the timeframe that is most appropriate.
b. Do you need to be worried about these ants infesting your cellphone or television? Do you need to worry for your children? For your grandchildren? Explain why or why
not.
The average time taken to travel to Toronto by the swarm of Rasberry Crazy Ants is 12,947 Years
What is the calculation for the above Solution?To arrive at the solution above, we need to look at the information given and the information assumed.
Step 1 - Information given:
Step 2 - Information assumed:
The swarm are travelling to the location of the student which is assumed to be Toronto.
Hence,
Time taken for the swam to get to Toronto (TTS) =
Distance between Austin, Texas and Toronto (DBTT) / Average distance covered per day by the Rasberry Ants. (ADC)
Estimated distance between Austin Texas and Toronto = 2592.6 Kilometers
Time travelled per day by the ants (In Km) = 0.00054864
Thus,
TTS = DBTT/ADC
= 2592.6 /0.00054864
≈ 4,725,503.06 days or
≈ 12,947 Years
Do I need to be worried about these ants infesting your cellphone or television? Do you need to worry for your children? For your grandchildren?The answer to both questions is NO.
The average life expectancy in Toronto (as at 2022) is 80 years. Assuming I was born today, it is expected that the time between now and when my last grand child will die is about:
80 x 3 = 240 years.
Given that the ants have to travel 12,947 to get to Toronto, the possibility of my grand children seeing them is zero.
Besides, even if they by chance got to Toronto and infested my grandchildren's residence, they would have nothing to worry about because Rasberry Crazy Ants are 100% harmless.
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What are the intercepts of graphed function.
Answer:
x-intercept is (-1,0)
y-intercept is (0,-3)
Step-by-step explanation:
An intercept is where the graph crosses the axis.
Here the graph crosses the x-axis (numbered horizontal line that goes left and right) at the point (-1,0)
The graph crosses the y-axis (numbered vertical line that goes up and down) at the point (0,-3). These are what are called intercepts.
What are the measures of Angles a, b, and c? Show your work and explain your
answers. (10 points)
Answer:
a= 30
b=60
c=105
Step-by-step explanation:
A forms a vertical angle with another angle that measures 30 degrees, therefore,
a= 30 degrees.
Since a is 30 degrees and a and b are in the same triangle with a 90-degree angle and all interior angles in a triangle equal 180 degrees.
Then, 30+90+b=180
120+b=180
b=60
Angle c and an angle that equals 75 degrees are supplementary. meaning that they add up to 180 degrees.
180-75=c
105=c
If 1000 pencils cost $20, how much
would ten pencils cost? Can somone explain
Answer:
1000 pencils = $ 20.
10 pencils = ?
10 * 20 / 1000
200/1000
2/10
1/5
0.5.$
Answer:
$0.20
Step-by-step explanation:
If 1000 pencils cost $20, then we must first find the unit rate.
20/1000 = 0.02, so it costs $0.02 for each pencil. To find out what ten pencils cost, we multlipy 0.02 by 10.
0.02 * 10 = 0.2, or $0.20.
Brainliest, please :)
The reciprocal of 15 is
1.
Answer:
1/15 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Write an expression that can be used to produce vector b from vector a, and explain how you determined that expression.
Answer:
Expression that can be used to produce vector b from vector a
= T× magnitude of vector a × vector 'a'
Step-by-step explanation:
Given question is based on the concept of vectors
Vectors:- Vectors is a geometric entity that has both magnitude and direction. Vectors have an initial point at the point where they start and a terminal point that tells the final position of the point. Various operations can be applied to vectors such as addition, subtraction, and multiplication
To produce an another vector form a given vector we increase its magnitude only not its direction as we have to produce another vector 'b' with increased magnitude from a given vector 'a'.
its clear from the question that only the magnitude of vector a is increased to produce another vector b
hence we multiply any constant ('T') with the magnitude of vector a to increase its magnitude.
and finally multiply the increased magnitude with the vector 'a' itself to get the answer.
so, the final expression that can be used to produce vector b from vector a is = T× magnitude of vector a × vector 'a'.
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Q5
The following are data from an independent measures experiment comparing
two treatment conditions:
Treatment 1
n=8
M = 8
SS=104
Treatment
n=8
M = 14
SS = 120
a. Do these data indicate a significant difference between the two
treatments?
b. Compute r2 and interpret the size of the treatment effect.
Answer:
A 2kg block is moved a long a level floor by a horizontal force of 20N if the coefficient of sliding friction is 0.4
what is the acceleration of the blove
Every row and every column of this 3 x 3 square must contain
each of the numbers 1, 2 and 3.
What is the value of N + M?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
=========================================================
Reason:
We have "1" in the upper left corner and "2" in the direct middle. This means "3" goes to the left of the "2" since each row and column cannot use repeats. Just below that "3" will go "2".
In summary so far, the first column has 1, 3, 2 in that order when moving from top to bottom. Refer to the values in green in the diagram below.
For identical reasoning, the first row has 1, 3, 2 in that order when moving from left to right. These are the values in light blue.
Once the first row is filled out, we can determine the middle entry of the bottom row, which is "1" marked in pink. This item helps us determine that M = 3 which in turn leads to N = 1.
Therefore, N+M = 1+3 = 4 is the final answer.
Side note: This square has symmetry along the northwest diagonal
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.
The subpopulations of mechanical and civil engineers are not earning different salaries.
Difference in average salaryIf a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant.
This assertion simply means that average salaries of the mechanical and civil engineers are not different.
Thus, the subpopulations of mechanical and civil engineers are not earning different salaries.
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can I get a help please
Answer:
middle graph
Step-by-step explanation:
Soluton
The second (middle ) graph is the only one that works.
First of all when you simplicity the right, you get y = x^2 - 1). That means that x does not go through 0,0. If you put x = 0 into x^ - 1 = 0, you get - 1. So on that basis alone both the first and third graphs are incorrect.Second, both xs in the factors are plus, so x^2 is plus, which means the graph opens upward.
Two numbers are in the ratio 3:8.
The larger number is 96, find the
sum of the numbers
Answer:
The sum of the numbers is 132
Step-by-step explanation:
First find the smallest number
3/8=x/96 2(96)=8x 288=8x x=36Thus, you found the smallest number
then there sum given as 96+36=132
What are the solutions to the following system?
Simplify each expression and state whether each is a volume, an area, or neither.
a) n(4)2 x
b) lw+lw+wh+wh+lh+lh
c) 8y2(10y2)
a. 2n^4b, neither a volume nor an area
b. 2Iw + 2wh + 2Ih, It is an area
c. 80 y^4, neither a volume nor an area
How to simply the algebraic expressionsa. n(4) 2 x b
n * n * n* n* 2 * b
2n^4b
It is neither an area nor a volume
b. lw+lw+wh+wh+lh+lh
Collect like terms
2Iw + 2wh + 2Ih
It is an area
c. 8y2(10y2)
8y^2 * 10 * y^2
80 y^4
It is neither a volume nor an area
Thus, the expressions are simplified as a. 2n^4b, b. 2Iw + 2wh + 2Ih, c. 80 y^4
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ก
3
The graphs below show measurements from cubes with
different side lengths.
Perimeter of 1 Face
24
2
10
2
40
36-
32-
8 28-
2
Side Length
Which pairs of variables have a linear relationship?
Select two options.
side length and perimeter of 1 face
perimeter of 1 face and area of 1 face
O surface area and volume
area of 1 face and surface area
Oside length and volume
The pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.
What is the Graph of a Linear Equation?The graph of a linear equation that shows a linear relationship between two variables are straight line graphs.
The graph shown is a straight line graph, therefore, it shows a linear relationship. Therefore, the pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.
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I need help, I need to find the volume of this
Answer:
396 Km³to the nearest hundred400 Km³Step-by-step explanation:
volume of a cuboid = Length × Width × Height Cubic units
6 × 11 × 6 =
66 * 6 =
396 Km³
to the nearest hundred
400 Km³
What is the solution to this system of equations 5x+2y=29
X+4y=13
Answer:
(5, 2 )
Step-by-step explanation:
5x + 2y = 29 → (1)
x + 4y = 13 → (2)
multiplying (1) by - 2 and adding to (2) will eliminate y
- 10x - 4y = - 58 → (3)
add (2) and (3) term by term to eliminate y
- 9x + 0 = - 45
- 9x = - 45 ( divide both sides by - 9 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (2)
5 + 4y = 13 ( subtract 5 from both sides )
4y = 8 ( divide both sides by 4 )
y = 2
solution is (5, 2 )
