The engine displacement of an automobile is the volume through which the piston moves from high to low position. If an engine has n cylinders, the displacement is D = • stroke • n, where the bore is the diameter of the cylinder and stroke is the length of the piston's travel.
If bore = and stroke = h, simplify the expression, D, in terms of k and h for 8 cylinders.
If the bore is 4 inches, the stroke is 3.4 inches, and the engine has four cylinders, what is the displacement? Round your answer to the nearest tenth of a cubic inch.
The simplification of the expression, D, in terms of k and h for 8 cylinders is D = πk²h/2.
The displacement if the bore is 4 inches, the stroke is 3.4 inches, and the engine has four cylinders is 179.9 cubic inch
How to simplify the expression?An engine has n cylinders, the displacement is D = pi(bore/2)² • stroke • n, where the bore is the diameter of the cylinder and stroke is the length of the piston's travel.
If bore = k/2 and stroke = h, simplify the expression, D, in terms of k and h for 8 cylinders:
D = pi(bore/2)² • stroke • n
D = π(k/2/2)²• h • 8
D = π(k/4)²• h • 8
D = π(k²/16)• h • 8
D = πk²h/2
If the bore is 4 inches, the stroke is 3.4 inches, and the engine has four cylinders, the displacement will be:
D = pi(bore/2)² • stroke • n
D = π(4/2)² × 3.4 × 4
D = π(2)² × 3.4 × 4
D = 4π × 3.4 × 4
D = 179.9 cubic inch
Learn more about displacement on:
https://brainly.com/question/14422259
#SPJ1
Complete Question
The engine displacement of an automobile is the volume through which the piston moves from high to low position. If an engine has n cylinders, the displacement is D = pi(bore/2)^2 • stroke • n, where the bore is the diameter of the cylinder and stroke is the length of the piston's travel.
If bore = k/2 and stroke = h, simplify the expression, D, in terms of k and h for 8 cylinders.
If the bore is 4 inches, the stroke is 3.4 inches, and the engine has four cylinders, what is the displacement? Round your answer to the nearest tenth of a cubic inch.
determine the measure of psr in numerical value only
The numeric value of ∠PSR is 60°
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
Some measurements of angles of JKLM and PQRS are given. m∠MJK = (12x+15)°, m∠SPQ = (14x-5)°, m∠JKL = 115°,
m∠JML = (8y + 12)°, m∠PSR = = (13y-18)°.
And we know the quadrilaterals are similar.
Two quadrilaterals are similar, so their corresponding angles are equal.
JKLM and PQRS are shown, where JKLM is similar to PQRS.
So,
m∠JML = (8y + 12) = m∠PSR = = (13y-18)°.
8y + 12 = 13y -18
5y = 30
y = 6
So,
m∠PSR = (13 x 6-18)°.
m∠PSR = (60)°.
Therefore, 60° is the measure of ∠PSR.
To learn more about the angle measure;
brainly.com/question/14684647
#SPJ1
which two statements are both true?
Answer: Choice (A)
Step-by-step explanation:
#Tip: Use the process of elimination when dealing with a multiple choice question-
What is a perpendicular line? Two distinct lines intersecting each other at 90°, or a right angle.
What is a parallel line? Lines in a plane that are always the same distance apart, and will never intersect.
Step 1: Identify the Given-
Lines MN and PQ are parallel lines.Lines MN and TU are perpendicular.Lines PQ and TU are perpendicular.Step 2: Eliminate what does not apply to what you found-
Choice (A): True
Lines TU and MN are perpendicular. Lines MN and PQ are parallel
Choice (B): False
Lines PQ and TU are perpendicular. Lines PQ and RS are parallel
Choice (C): False
Lines MN and PQ are parallel. Lines UT and RS are perpendicular
Choice (D): False
Lines MN and RS perpendicular. Lines MN and PQ are perpendicular
Which expression can be simplified to find the slope of the trend line in the scatterplot?
On a graph, a trend line goes through points (2, 87) and (8, 78).
StartFraction 2 minus 8 Over 78 minus 87 EndFraction
StartFraction 78 minus 87 Over 8 minus 2 EndFraction
StartFraction 78 minus 8 Over 87 minus 2 EndFraction
StartFraction 8 minus 2 Over 78 minus 87 EndFraction
Mark this and return
The expression which can be simplified to find the slope of the trend line as required is; StartFraction 78 minus 87 Over 8 minus 2 EndFraction.
Which expression can be simplified to find the slope of the trend line?As evident in the task content; the two points which are to be considered to determine the slope of the trend line are; (2, 87) and (8, 78).
Recall from the slope formula that;
Slope, m = (y₂ - y₁) / (x₂ - x₁)
On this note, it can be inferred that upon substitution;
Slope, m = (78 - 87) / (8 - 2)
Ultimately, the required expression is; StartFraction 78 minus 87 Over 8 minus 2 EndFraction.
Read more on slope formula;
https://brainly.com/question/24092749
#SPJ1
Polly Petals runs a small business creating flower gardens for people in her community. As spring approaches, the following customers have provided the dimensions of different flower gardens each would like to have created. • Rose Bush has a rectangular space with lengths of 3x + 1 and 2x +7. • Iris Orchid has a rectangular space with lengths 4x +2 and × + 5. • Sonny Flower has a square space with lengths of 4x + 2. a. Sketch the shape of each design to represent the space available for the flower gardens of each customer (label the lengths). Determine the area of space available for each customer
Here are the shapes and dimensions of each garden space:
Rose Bush: rectangular, 3x + 1 and 2x + 7
Iris Orchid: rectangular, 4x + 2 and x + 5
Sonny Flower: square, 4x + 2
To find the area of each garden space, you will need to use the formula for the area of a rectangle (length x width) or the area of a square (side length x side length). Here is how you would find the area of each space:
Rose Bush: (3x + 1) * (2x + 7) = 6x^2 + 7x + 2x + 7 = 6x^2 + 9x + 7
Iris Orchid: (4x + 2) * (x + 5) = 4x^2 + 9x + 2x + 10 = 4x^2 + 11x + 10
Sonny Flower: (4x + 2) * (4x + 2) = 16x^2 + 32x + 16x + 4 = 16x^2 + 48x + 4
Therefore, the area of the garden space for Rose Bush is 6x^2 + 9x + 7, the area of the garden space for Iris Orchid is 4x^2 + 11x + 10, and the area of the garden space for Sonny Flower is 16x^2 + 48x + 4.
NO LINKS!!
Part 3
Graph the polygon with the given vertices and its image after the transformation. Label all vertices in both the image and preimage using the correct notation.
7. A(-4, 3), B(-5, -1), C(0, 2)
Translation:(x, y)--> (x + 2, y + 1)
8. A(-2, -4), B(-2, 4), C(2, 2)
Dilation: k = 1/2
Apply the indicated rule for each vertex of the polygon and then graph both the image and preimage.
Question 7A(-4, 3), B(-5, -1), C(0, 2)Translation:(x, y) → (x + 2, y + 1)A(-4, 3) → A'(- 4 + 2, 3 + 1 ) = A'(-2, 4)B(-5, -1) → B'(-5 + 2, - 1 + 1) = B'(-3, 0)C(0, 2) → C'(0 + 2, 2 + 1) = C'(2, 3)Question 8A(-2, -4), B(-2, 4), C(2, 2)Dilation: k = 1/2A(-2, - 4) → A'(-2/2, - 4/2) = A'(-1, - 2)B(-2, 4) → B'(-2/2, 4/2) = B'(-1, 2)C(2, 2) → C'(2/2, 2/2) = C'(1, 1)
See attached for both.
Answer:
Question 7:
A' (-2, 4)B' (-3, 0)C' (2, 3)Question 8:
A' (-1, -2)B' (-1, 2)C' (1, 2)Step-by-step explanation:
Question 7Given vertices of the pre-image:
A = (-4, 3)B = (-5, -1)C = (0, 2)Given transformation rule:
[tex](x, y) \rightarrow (x + 2, y + 1)[/tex]Therefore the vertices of the image are:
A' = (-4 + 2, 3 + 1) = (-2, 4)B' = (-5 + 2, -1 + 1) = (-3, 0)C' = (0 + 2, 2 + 1) = (2, 3)Question 8Given vertices of the pre-image:
A = (-2, -4)B = (-2, 4)C = (2, 2)If the pre-image is dilated by a scale factor of ¹/₂ then the transformation rule is:
[tex](x, y) \rightarrow \left(\frac{1}{2}x, \frac{1}{2}y\right)[/tex]Therefore the vertices of the image are:
[tex]\sf A' = \left(\frac{1}{2} \cdot -2, \frac{1}{2} \cdot -4\right)= \left(-1, -2\right)[/tex][tex]\sf B' = \left(\frac{1}{2} \cdot -2, \frac{1}{2} \cdot 4\right) = \left(-1, 2\right)[/tex][tex]\sf C' = \left(\frac{1}{2} \cdot 2, \frac{1}{2} \cdot 2\right) = \left(1, 1\right)[/tex]PLEASE HELP WITH THIS PROBELEM!!!
Translate the sentence into an equation.
Three less than the product of 9 and a number equals 2.
The equation similar to the sentence is 9x - 3 = 2.
What is Equations?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The statement here is "Three less than the product of 9 and a number equals 2."
We have a unknown number here where the number 9 is multiplied. Let the unknown number be x.
3 less than the product of 9 and x is mathematically represented as 9x - 3.
Since this is equal to 2, we get, 9x - 3 = 2, which is a linear equation where the highest degree of the variable is 1.
Hence the equation related to the statement is 9x - 3 = 2.
Learn more about Equations here :
https://brainly.com/question/29657988
#SPJ1
area of complex shape
The area of the complex shape is 35.1 square meters.
What is a parallelogram?A unique kind of quadrilateral called a parallelogram has two opposite sides that are parallel to one another. The opposite sides and angles of a parallelogram have equal lengths and measurements.
The given shape is a parallelogram.
Since the opposite sides of a parallelogram are equal, the base of the parallelogram is 27m.
The area of the parallelogram is given by the following formula:
[tex]A = b *h[/tex]
Where, b is the base and h is the height of the parallelogram.
Substitute the value of b = 27m and h = 1.3m:
A = (27)(1.3)
A= 35.1 square meters.
Hence the area of the complex shape is 35.1 square meters.
Learn more about complex shapes here:
https://brainly.com/question/16096218
#SPJ1
How should you show your work to isolate the variable and solve the equation
X-62=123
To isolate the variable and solve the equation, shift all terms associated with X to the other side of the equation (i.e to the other side of =). The solution of is: [tex]X-62= 123[/tex] is [tex]X=185[/tex]
How should you show your work to isolate the variable and solve the equation?To isolate the variable and solve the equation [tex]X-62=123[/tex] , shift all terms associated with X to the other side of the equation (i.e to the other side of =).
given: [tex]X-62=123[/tex]
in the given equation 62 is associated with X, now we shift -62 to the right side of the = sign . So it becomes +62 on another side.
∴ [tex]X = 123+62[/tex]
∴ [tex]X=185[/tex]
To know more about Islolation of variable to solve equations, check out:
brainly.com/question/30130366
#SPJ1
Last year, Ms. Melissa's garden had a width of 3 feet and an area of 27 square feet. This year, Ms. Melissa wants her garden to be 3 times as long and twice as wide.
a. solves for the length of Ms. Melissa's garden last year. then, draw and label the measurements for this year's garden.
The new measurements for Ms. Melissa's garden are 27 ft by 6 ft
What is a rectangle?A 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length.
Given that, Last year, Ms. Melissa's rectangular garden had a width of 3 feet and an area of 27 square feet. This year, Ms. Melissa wants her garden to be 3 times as long and twice as wide.
The area for a rectangular garden is = length × width
Solving for last year's length =
27 = 3 × length
length = 27 / 3 = 9 feet
Therefore, the length of the garden last year was 9 feet.
She wants her garden to be 3 times as long and twice as wide this year.
Therefore, new dimension should be =
Length = 3 × 9 = 27 feet
Width = 2 × 3 = 6 feet
Hence, the new dimension is 27 ft by 6 ft
For more references on rectangle, click;
https://brainly.com/question/29123947
#SPJ1
Rolling a number less than 3 on a number cube and then flipping tails on a coin flip dependent or independent
A number cube is a 6 sided die, so the probability of rolling a 3 is 1/6.
What are the odds against rolling a 3 on a number cube?Each coin flip is treated as a separate event because the outcome of one flip has no bearing on the outcome of any subsequent flips. List every outcome that each experiment could produce. A coin is flipped after rolling a regular number cube. Flipping four coins.
Okay, so the likelihood of rolling an even number is equal to half. Flipping tells is likewise half, as well. Thus, in its most basic form, this is the answer to the exercise and the likelihood of doing both will be 1/4. An event's probability is always between 0 and 1.
Given that both occurrences took place at the same time. As a result, when a coin is tossed and a cube is rolled, the likelihood of getting a tail and a six increases.
To Learn more about number cube refered to:
https://brainly.com/question/28175634
#SPJ1
What is the range of the function shown on the graph above?
So, on solving the provided question, we can say that the range of the function = [-9, 8]
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.
From the graph we have the following observations.
The endpoints of the graph have closed circles (this means that, the endpoints are inclusive of the range)
The endpoints on the y-axis =-9 and 8
So, the range of the function = [-9, 8]
This can be rewritten as = -9≤y≤8
To know more about range visit:
https://brainly.com/question/28135761
#SPJ1
what is 6.74 x 1.98 estimated
Answer:
The result is 13.3452
It depends on what your teacher wants you to round to.
To the whole number, it would be 13.
To the tenth, it would be 13.3
To the hundredth, it would be 13.35.
To the thousandth, it would be 13.345.
Hope this helps.
Answer:
13.3452, multiply both the numbers,
an estimation would be about 13 since 1.98 is close to 2 and 6.74 is close to 7, but since they aren’t quite there, a 13 would make sense to guess
Rewrite 9x + 81 using a common factor.
A: 9x(x + 81)
B: 9x(x + 9)
C: 9(x + 81)
D: 9(x + 9)
Answer:
D: 9(x + 9)
Step-by-step explanation:
If you divide the equation 9x+81 by 9
you get x+9, making 9 your common factor.
9(x+9)
Answer:
Option D; 9(x + 9)
Step-by-step explanation:
9x + 81 (I am finding the answer by testing each option to see if it corresponds to the question)A: 9x(x + 81) [tex]9x^{2}[/tex] + 729x(This is clearly not the correct answer since no parts of this solution corresponds as the right factoring to the question)B: 9x(x + 9) [tex]9x^{2}[/tex][tex]9x^{2}[/tex] + 81(This is not right answer either since the first term has to 9x not [tex]9x^{2}[/tex])C: 9(x + 81) 9x + 729(Although the first term is corresponding, the second term isn't, therefore, this is not the right answer)D: (This is the right answer automatically since by process of elimination, this is the last option and the rest were incorrect, therefore, this has to be the right answer) 9(x + 9) 9x + 81Answer: D; 9(x + 9)Hope this helped! :D
rewrite the expression without absolute value bars
We can simplify the given expression to get:
-11/|-11| = -1
How to rewrite the expression?Here we want to rewrite the expression below:
-11/|-11|
First, remember how the absolute value works.
|x| = x if x ≥0
|x| = -x if x < 0.
Then we can rewrite the denominator as:
|-11| = 11
Replacing that on the expression we will get:
-11/|-11| = -11/11 = -1
That is the expression simplfied.
Learn more about absolute values at:
https://brainly.com/question/1782403
#SPJ1
21. What is the equation of the line that passes through the point (1,3) and is perpendicular to the line 2x+3y=15?
Drag a number into each box to complete the equation correctly.
y= _____x + _____
-3/2
-2/3
2/3
3/2
7/3
9/2
11/3
The linear equation that is perpendicular to 2x+3y=15 that we wanted to find can be written as:
y = (3/2)*x + 3/2
What is the equation of the line?Remember that a general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two lines are perpendicular if the product between the slopes is equal to -1.
So if our line must be perpendicular to:
2x + 3y = 15
(we can rewrite that to get):
3y = 15 - 2x
y = (15 - 2x)/3
y = 5 - (2/3)*x
Then we must have that:
a*(-2/3) = -1
a = -1*(-3/2) = 3/2
So the perpendicular line is something like:
y = (3/2)*x + b
We know that our point passes through (1, 3), replacing the values on the equation we will get:
3 = (3/2)*1 + b
3 = 3/2 + b
3 - 3/2 = b
6/2 - 3/2 = b
3/2 = b
Then the linear equation is:
y = (3/2)*x + 3/2.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
pls help worth b and c “find the slope of each line”
Create an equation for the blue car (Keep in mind the equation of the red car AND the picture of the accident)
(PLEASE LOOK AT THE PICTURE)
The blue car has an equation of y = 1/6x + 1/2
How to determine the equation of the blue car?From the question, we have the following parameters that can be used in our computation:
Cars = Blue and Red cars
For the red car, we have
y = -6x + 1/2
The equation of a line can be represented as
y = mx + c
Where
slope = m
By comparing the equations, we have:
m = -6
The blue car and the red car are perpendicular to one another
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the blue car is 1/6
i.e. m = 1/6
Recall that:
The equation of a line can be represented as
y = m(x - x1) + y1
Where
slope = m = 1/6
(x, y) = (0, 1/2)
So, we have
y = 1/6 * (x - 0) + 1/2
This gives
y = 1/6 * (x) + 1/2
Evaluate
y = 1/6x + 1/2
Hence, the equation of the blue car is y = 1/6x + 1/2
Read more about linear equations at
brainly.com/question/4074386
#SPJ1
Write an equation of the line below.
The equation of the line is y=1/3x.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given graph let us take two points through which the line passes.
(-6, -2) and (6, 2)
m=2-(-2)/6-(-6)
m=4/12=1/3
The slope of the line is 1/3.
Now we have to find the y intercept
2=1/3(6)+b
2=2+b
b=0
The equation of line is y=1/3x
Hence, the equation of the line is y=1/3x.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey.
Is Avery interpreting the probability correctly?
answer choices
Yes, because 2 out of 5 is equal to 40%.
No, because there could be voluntary response bias.
No, because only 40% of all people will visit the site.
No, because 0.40 represents probability in the long run over many visits to the site.
No, Avery is not interpreting the probability correctly because 0.40 represents probability in the long run over many visits to the site. Therefore, option 'D' is the correct answer.
Probability refers to the possibility that an event will occur. It assesses the certainty of the event. Such as in the scenario given where the probability of a randomly selected visitor to a certain website participating in an online survey is 0.40. Avery claims that for the next five visitors to the site, two visitors will be asked to participate in the online survey. Avery interprets the probability incorrectly it is because 0.40 refers to the probability in the long run over several visits to the site.
You can learn more about probability at
https://brainly.com/question/24756209
#SPJ4
There are 60 households in a village. Some households own no car, some own one car, and some own two cars. No
household owns more than two cars. There are more households that own no car than households that own one car, and
more that own one car than two.
(a) (i) What is the smallest total number of cars that could be owned by households in the village? [1]
(ii) What is the largest total number of cars that could be owned by households in the village? [1]
A survey has shown that exactly twice as many households own one car as own two cars.
(b) What now is the largest total number of cars that could be owned by households in the village? [2]
On solving the provided question we can say that - probability of P(A B) = P(A) + P(B) - P(A B)= 70%
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
P(A)= 60%, P(B) = 30%
P(A B) = 20%
P(A B) = P(A) + P(B) - P(A B)= 70%
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
Find the equation of the line that passes through (-4, 2) and is perpendicular to the line that goes through (-4, 6) and (5, 2).
Answer:
9x -4y = -44
Step-by-step explanation:
You want the equation of the line through (-4, 2) and perpendicular to the line through (-4, 6) and (5, 2).
Equation of a LineThe equation of a line through (h, k) and perpendicular to the line through (x1, y1) and (x2, y2) can be written as ...
(x2 -x1)(x -h) +(y2 -y1)(y -k) = 0
Using the given points, this becomes ...
(5 -(-4))(x -(-4)) +(2 -6)(y -2) = 0
9(x +4) -4(y -2) = 0
Expanding this gives the general form equation:
9x -4y +44 = 0
Subtracting the constant gives the standard form equation:
9x -4y = -44
Is the sequence arithmetic, geometric or neither? Then, find the next three terms. 0, 3, 6, 9, 12, ___, ___, ____. has to be a sentece
Answer:
Arithmetic progression
Next 3 terms are 15, 18 and 21.
Step-by-step explanation:
The sequence is an arithmetic progression (AP)
Looking at the first few terms of the sequence,
there is an addition of 3 from the current term to the next term.
(Value of addition of 3 is a constant)
Hence,
First blank: 12 + 3 = 15
Second blank: 15 + 3 = 18
Third blank: 18 + 3 = 21
An experiment involves selecting a numbered chip, some black and some white, from a bag of chips. The probability of selecting a
black chip with an even number is The probability of selecting a black chip is
What is the probability of selecting a chip with an even number given that the chip is black?
Enter your answer, as a simplified fraction, in the boxes.
Answer:
sorry but i i don't know the answer
Study the diagram of circles K and J.
Circle K has its center at (−3,3) and a radius of 6.
Circle J has its center at (3,−3) and a radius of 3.
Eli wants to show that circle J is similar to circle K using transformations. What combination of transformations would map circle J onto circle K to show that the circles are similar?
Select two answers that, when combined, show that the circles are similar.
Dilate with a scale factor of 2.
Dilate with a scale factor of 3.
Dilate with a scale factor of 1/2.
Translate 6 units left and 6 units up.
Rotate 90∘ clockwise.
Translate 6 units right and 6 units down.
The transformation sequence that Eli will use to show that the two circles J and K are similar are
Dilate with a scale factor of 2.Translate 6 units left and 6 units up.How to find the matching sequence of transformationThe necessary transformation to map circle J onto K are
firstly dilation by a scale factor of two,: this makes the two circles equal in radius
circle J, has a radius of 3, dilation by a scale factor of 2 means 2 * 3 = 6.
hence the radius are equal and the circles similar
translation is used to position the circles same place, Circle J has its center at (3,−3)
translate 6 units left (x direction) = (3 - 6, -3) = (-3, -3)
translate 6 units up (y direction) = (-3, -3 + 6) = (-3, 3)
Learn more about transformation here:
https://brainly.com/question/29321312
#SPJ1
HELP I NEED BRAINLIEST
The option that describes the end behavior of the graphed function is the second one.
f(x) → ∞ as x →-∞
f(x) →∞ as x →∞
What is the end behavior of the graph?For any function y = f(x), we define the end behavior as the behavior of the function as x tends to negative infinity and positive infinity.
If we look at the left side of the graph, we can see that the function goes upwards.
Then we can assume that as x tends to negative infinity, the function tends to infinity (because it keeps going up) this is written as:
f(x) → ∞ as x →-∞
On the right side we can see the same thing, then when x goes to infinity we can write:
f(x) →∞ as x →∞.
So the end behavior of the function is:
f(x) → ∞ as x →-∞
f(x) →∞ as x →∞.
So the correct option is the second one.
Learn more about end behavior by reading:
https://brainly.com/question/1365136
#SPJ1
5.
{x|x is a whole number between 2 and 8}
Step-by-step explanation:
The set of whole numbers between 2 and 8 is: {3, 4, 5, 6, 7}.
This set can be written as: {x|x is a whole number between 2 and 8} = {3, 4, 5, 6, 7}.
Answer:
omg you're so right!
flat-bed trucks and tanker trucks are assembled in a plant in this country. OF these, 84% are for export only. Of those that are for domestic use, 25% are tanker trucks. The percent of all trucks produced that are flat bed trucks for domestic use is...
please help
The percent of all trucks produced that are flat bed trucks for domestic use is 4%.
How to calculate the percentageFrom the information, flat-bed trucks and tanker trucks are assembled in a plant in this country. OF these, 84% are for export only.
Those that are used for domestic purpose will be:
= 100 - 84
= 16%
Of those that are for domestic use, 25% are tanker trucks. The percent of all trucks produced that are flat bed trucks for domestic use is:
= 25% × 16%
= 4%
Learn more about percentages on;
brainly.com/question/24877689
#SPJ1
Rewrite 13/25 and 11/20 so that they have a common denominator
The fractions are rewritten as so that they have a common denominator as 107/100
What is a fraction?A fraction can be described as the part of a whole element, variable or number.
The several types of fractions are;
Complex fractionsSimple fractionsMixed fractionsProper fractionsImproper fractionsFrom the information given, we have that;
13/25 and 11/20
To rewrite the fractions, we have to determine the lowest common multiple
13/25 + 11/20
52 + 55 /100
Add the numerators , we have;
107/100
Hence, the fraction is 107/100
Learn more about fractions here:
https://brainly.com/question/11562149
#SPJ1
Bridgette saved $2500 to purchase a Game Console which cost $3000. Her father gave her 20% of the total cost of the Game Console. Does she have enough money to purchase the Game Console? Show how you obtained your answer.
well, we know that Bridgette has 2500 bucks, now her dad gave her 20% of 3000, well heck, what's 20% of 3000 anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 3000}}{\left( \cfrac{20}{100} \right)3000}\implies 600~\hfill \underset{\textit{yeap, she has enough}}{\stackrel{2500~~ + ~~600}{\text{\LARGE 3100}}}[/tex]
