Answer:
In these functions translation is used.
The transformation means that vertex of function m(s) is translated 18 units downwards.
Step-by-step explanation:
We have been given that average gas mileage m in miles per gallon for a compact car is modeled by m(s) = - 0.015(s - 47)2 +33 and mileage for an SUV is modeled by my(s) = -0.015(s - 47)2 + 15.
We can see that both functions are parabolic and opens downwards. The vertex of function m(s) is (47,33), while vertex of function my(s) is (47,15). We can describe this change by translation.
This transformation means that function m(s) is translated 18 units downwards and average mileage of SUV is 18 miles/hour lesser than compact car at equal speeds.
The change is a vertical shift, meaning that the SUV's gas mileage drops lower than the compact car's at the same speed, but the rate at which the mileage decreases with speed is identical.
Explanation:The transformation that describes the change from the compact car's gas mileage model to the SUV's model is a vertical shift. This is because the two equations are identical, except for the constant at the end (33 in the compact car's equation and 15 in the SUV's equation). This constant indicates the vertical position of the parabola described by the equation, so by changing the constant, you're vertically shifting the parabola without changing its shape or orientation.
A vertical shift of the parabola in this context means that the SUV's gas mileage drops lower than the compact car's gas mileage at the same speed. The number being subtracted from the parabola to achieve the shift (-0.015(s - 47)2) remains the same for the SUV and the compact car, meaning the rate at which the mileage changes with speed is the same, but the overall mileage of the SUV is lower due to the difference in constants (33 for the compact car and 15 for the SUV).
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What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
△ ______≅△NKW
For this one, look at the symbols inside each angle. In math, the rounded edges inside of angles mean they are congruent. So find which ones have the same amount of rounded edges and that would be your answer.
NKW ≅ UZE
put the corresponding angles in the middle. Since the object you were comparing to had the one line as the middle point, then that is your middle as well.
Hope this helps! Comment with any questions you may have.
Answer:
[tex]\Delta UZE\cong \Delta NKW[/tex]
Step-by-step explanation:
We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.
We can see in triangle NKW and triangle UZE.
[tex]EZ\cong WK[/tex],
[tex]\angle ZEU\cong \angle KWN[/tex],
[tex]\angle UZE\cong \angle NKW[/tex].
Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, [tex]\Delta UZE\cong \Delta NKW[/tex] by Angle-Side-Angle congruence theorem.
Solve by factoring 2x squared -6 = x squared+48
x = ± 3√6
2x² - 6 = x² + 48 ( subtract x² from both sides )
x² - 6 = 48 ( add 6 to both sides )
x² = 54 ( take the square root of both sides )
x = ± √54 = ± 3√6
Please help me!!! will give you brainlest.
4. The translation is considered an isometry or rigid motion. The figure's size, shape, area, etc has not changed. The only thing that changed is its position.
5. The rule stated means you shift the point 3 units to the right and 4 units up.
6. The rule would be (x,y) ---> (x-1, y-3) so we effectively subtract 1 from the x coordinate; subtract 3 from the y coordinate
7. Add 2 to the x coordinate to get x+2 = 2+2 = 4. Subtract 1 from they coordinate and we have 5-1 = 4. The point ends up at (4,4). Check out the attached image below.
What number represents the same amount as 33 3 3 hundreds ++ + plus 44 4 4 tens ++ + plus 1616 16 16 ones?
Answer: 3756
Step-by-step explanation:
33 x 100 = 3300
44 x 10 = 440
16 x 1 = 16
Total: 3756
The number represented by 33 hundreds plus 44 tens plus 16 ones is 3756, which is found by adding 3300 (33 times 100), 440 (44 times 10), and 16 (16 times 1) together.
The question involves adding numbers that compose a whole number through place values. In this case, we are looking at hundreds, tens, and ones. To solve this, we add up each group's contribution to the total. We have:
33 hundreds which is 33 * 100 or 330044 tens which is 44 * 10 or 44016 ones which is 16 * 1 or 16Adding these together:
3300 + 440 + 16 = 3756
So, 33 hundreds plus 44 tens plus 16 ones represents the number 3756.
A _______ should follow a dependent clause when the dependent clause comes first in a sentence.
1. colon2. Comma
3. Period
4. Semicolon
it’s not A. colon it didn’t give me an answer
For carolina birthday her mom took her and 4 friendse to a waterpark.Carolina mom paíd 40 for 5 students tickets.What was the price for one student ticket
40 dollars per 5 students=9 dollars per 1 student
divide both sides by 5.
What expression is equivalent to 9(4 + r)?
Order the expressions from least value to greatest value.
Answer:
5/-1.6<-3 3/10 - (- 7/20)< 5 6/15 + (-2 4/5) < -4.5 X -2.3
Step-by-step explanation:
Answer:
[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]
Step-by-step explanation:
In this case we have to calculate the value of each one of the terms and the organize it from the lowest to the highest, this is:
[tex]-3\frac{3}{10}-(-\frac{7}{20})=-2.59[/tex]
[tex]\frac{5}{-1.6} =-3.125[/tex]
[tex]5\frac{6}{15} +(-2\frac{4}{5} )=2.6[/tex]
[tex]-4.5*-2.3=10.35[/tex]
Now we can order the expressions, this is:
[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]
In las vegas nevada stores charge 4.6% sales tax and a 2.65% county sales tax. Yukon is purchasing a handbag at $220 before tax. How much sale tax does tiki pay for her hand bag
a cedar chest has a length that is 3 feet longer than its width and a height that is 1 foot longer than its width. The volume of the chest is 30 cubic feet. What is the width? 1 foot 2 feet 3 feet 6 feet
The answer is 2 feet.
Answer:
3
Step-by-step explanation:
The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the bloeprint is a rectangle 18inches by 22 inches, what are the dimensions of the yard
Answer:
36x44 feet are the dimensions of the yard.
Step-by-step explanation:
Given that the blueprint for landscaping a yard has a scale of 1/2" to 1 foot.
i.e. scaling factor is 1/2 for one foot.
If real dimension is 1 foot, it is shown as 1/2 inch in blue print.
Using this we can find the real dimensions if given blue print dimensions.
The blueprint is a rectangle 18inches by 22 inches,
Hence real length of rectangle = 18(2) feet = 36 feet
Width of rectangle = 22(2) = 44 feet
i.e. the yard has dimensions as 36x44 feet.
In one study, it was found that the correlation coefficient between two variables is -0.93.
Which statement is true?
A. There is a weak positive association between the variables.
B. There is a weak negative association between the variables.
C. There is a strong positive association between the variables.
D. There is a strong negative association between the variables.
the answer is d (i think) because anything aboveboard .90, whether it is positive or negative
Answer: D. There is a strong negative association between the variables.
Step-by-step explanation:
We know that when the value of the correlation coefficient lies between -1 to -.05 , then we say there is strong negative correlation between the variables.
OR
When the value of the correlation coefficient lies between 0.5 to 1, then we say there is strong positive correlation between the variables.
Given : In one study, it was found that the correlation coefficient between two variables is -0.93.
∵ -1< -0.93 <-0.5
Then , it indicates that there is a strong negative association between the variables.
-4 < -2(2 + 7x) + 6(x + 8)
Please help and show work!!
[tex]-4 < -2(2+7x)+6(x+8)\ \ \ \ |\text{use distributive property}\\\\-4 < (-2)(2)+(-2)(7x)+(6)(x)+(6)(8)\\\\-4 < -4-14x+6x+48\\\\-4 < (-14x+6x)+(-4+48)\\\\-4 < -8x+44\ \ \ \ |+4\\\\0 < -8x+48\ \ \ \ |+8x\\\\8x < 48\ \ \ \ |:8\\\\\boxed{x < 6}[/tex]
Nyree divided 495 are 24 using partial quotients find the quotient and remainder explain your answer using numbers and words
Answer: Quotient=20 and remainder=15.
Step-by-step explanation:
Here dividend=495 and divisor=24
Step 1) Write easy multiples of 24 such as
24×2=48
24×5=120
24×10=240 and so on...
Step 2) Find the easier multiple of 24 to subtract from 495 .
Let 240 is the easiest one then 495-240=255 and note 10 as first partial quotient.
Step 3) Again subtracting 240 (as easier one) from 255 and note 10 as second partial quotient,we get 255-240=15 which is our remainder (as it is less than the divisor).
Step 4) add both the partial quotients=10+10=20→ Quotient
The quotient of 495 divided by 24 using partial quotients is 20, and the remainder is 15. This method simplifies the division by subtracting easily computable multiples of 24 from 495.
Nyree wants to divide 495 by 24 using partial quotients, a method where we break down a division problem into simpler pieces that we can solve in our head. For instance, knowing that 24 is close to 25, which is a quarter of 100, can help us simplify the problem. Let's start by subtracting multiples of 24 from 495 until we can subtract no more without going into negatives.
First, we know that 24 times 20 is 480, so we subtract 480 from 495, which gives us a partial quotient of 20 and a remainder of 15.Since 24 cannot go into 15, we stop here. Our total quotient, therefore, is 20 with a remainder of 15.The quotient of 495 divided by 24 is 20, and the remainder is 15. Partial quotients make it easier to handle large numbers by breaking them into smaller, more manageable pieces.
Find the width (w)of a rectangular room with a length (l) of 60 meters and an area (a) of 2,400 square meters
To find the area of a rectangular shape, we need to have the length and width of the shape.
Here the room is rectangular in shape.
The length of the room is 60 meters and lets say the width of the room is 'w' meters.
The area of room is given which is 2,400 square meters.
The area of rectangle is given by:
[tex]length \times width[/tex]
Now, plugging the values of the length and width, we get:
[tex]Area = 60 \times width[/tex]
[tex]2400= 60 \times width[/tex]
Solving for width, we get:
[tex]Width= \frac{2400}{60} =40[/tex] meters.
So, the width of the rectangular room is 40 meters.
Answer:The answer is
Step-by-step explanation: W= 40 I just did the quiz on I ready
-(2)/(5)x-9<(9)/(10)
step by step please <3
[tex]-\dfrac{2}{5}x-9<\dfrac{9}{10}\qquad|\text{multiply both sides by 10}\\\\10\cdot\left(-\dfrac{2}{5}x\right)-10\cdot9<10\cdot\dfrac{9}{10}\\\\2(-2x)-90<9\qquad|\text{add 90 to both sides}\\\\-4x<99\qquad|\text{change the signs}\\\\4x>-99\qquad|\text{divide both sides by 4}\\\\x>-24.75[/tex]
A news report says that 28% of high school students pack their lunch. Your high school has 60 students. How many students in your high school would you expect to pack their lunch?
Numerical expression for the difference between 72 and 16
Answer:
72-16
Step-by-step explanation:
Difference is represented by the subtraction of 2 numbers. If we want to represent the difference of 2 numbers, we need to subtract one number from the other number.
Which statement represents the biconditional statement of the conditional statements?
If the measures of two angles have a sum of 90º, then the angles are complements.
If two angles are complements, then their measures have a sum of 90º.
The measures of two angles do not have a sum of 90º if and only if the angles are complements.
The measures of two angles have a sum of 90º if and only if the angles are complements.
The measures of two angles do not have a sum of 90º if and only if the angles are not complements.
The measures of two angles have a sum of 90º if and only if the angles are not complements.
The measures of two angles have a sum of 90º if and only if the angles are complements.
if the angles are complementary they have to equal 90 otherwise they are not complementary
The measures of two angles have a sum of 90º if and only if the angles are complements.
if the angles are complementary they have to equal 90 otherwise they are not complementary
Simplify. (h + 12) + (p +24) a) hp + 288 b) hp + 36 c) 12h + 24p d) h + p + 36
(h+12) + (p+24)
h+p+12+24 = h+p+36
Answer:
12h + 24p
Step-by-step explanation:
How many cubes are needed to build the base of this structure?
10 cubes for the base
Answer:
Option (D) 10 cubes
Step-by-step explanation:
The given structure is formed by assembling the cubes.
Number of cubes required for upper layer of the structure = 7 cubes
Now we have to find how many cubes will be required to form the lower layer of the structure.
From the structure ⇒
Cubes in lower layer = cubes in upper layer + 3 more cubes
= 7 + 3 = 10 cubes
Therefore, 10 cubes will be required to form the base of the structure.
Option (D) 10 cubes is the answer.
If a insect is 0.095 long how long is it if looking through a microscope 100 times how long would the insect be
9.5.....................
Use the substation to solve the system of equations. Y=x+1.75 4x-2y=4
Ben has 3 times as many guppies as goldfish.If he had a total of 20 fish,how many guppies does he have
Answer: 60 Guppies.
Step-by-step explanation: If Ben has 3 times as much guppies as goldfish then it is 3 x 20 which = 60.
On six books shelves there are 72 books per shelf.How many books are there altogether? If 1/3 of these are non-fiction how many fictional books are there?
Given:
Total shelves: 6
Books per shelve: 72
Total books = ?
Solution:
Total books: 6 * 72 = 432
Total books = 432
Part 2:Given:
Fiction books = 1/3 of total books
Solution:
Nonfiction books = Total books - 1/3 of total books
= 432 - 1/3 * 432
= 432 - 166 = 266
Non- fiction books = 266
Kai is making a chessboard using pieces of wood that measure 1 square inch.
when he finishes, the chessboard will have an area of 64 square inches.
how many pieces of wood should he put along each side?
a.
64 pieces of wood
b.
642 pieces of wood
c.
8 pieces of wood
d.
82 pieces of wood
Answer:
The correct option will be: c. 8 pieces of wood.
Step-by-step explanation:
Suppose, the number of pieces of wood along each side of the chess board is [tex]x[/tex]
The area of each piece of wood is given as 1 square inch. So, the length of each piece of wood will be: [tex]\sqrt{1}= 1[/tex] inch.
And the total length of [tex]x[/tex] number of pieces of wood will be: [tex]1x[/tex] inches.
Given that, the area of the chess board is 64 square inches. So, the length of each side will be: [tex]\sqrt{64}=8[/tex] inches.
Thus, the equation will be.........
[tex]1x=8\\ \\ x=\frac{8}{1}=8[/tex]
So, he should put 8 pieces of wood along each side.
Answer: it will be 8
Step-by-step explanation: because 8×8=64
Which graph represents the solution set of the system of inequalities?
{y≥1/3x−3
{y<−3x−3
The answer would be the choice at the bottom right corner!
I'm positive the answer is correct! :)
2.8 x 100 miles high. What is the approximate area of wyoming?
Assuming a regularly shaped rectangle, the formula for the area is given as:
A = L * W
where L and W are the length and width respectively
A = 3.6 x 10^2 miles * 2.8 x 10^2 miles
A = 100,800 square miles
or
A = 10.08 x 10^2 miles
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At a college, 7 out of every 10 students worked either a full-time or part-time job in addition to their studies. If 4,900 students were enrolled at the college, how many students did not have a full-time or part-time job?
Remark
If 7/10 do have full or part time jobs then 3/10 do not.
That comes from 1 which represents all the students subtract 7/10 to get 3/10
Solution
Those without jobs = 4900 * 3/10 = 4900 *0.3 = 1470 that do not have any kind of job.
What is the lateral area of the cylinder?
A. 515.01 ft.2
B. 615.85 ft.2
C. 622.04 ft.2
D. 625.25 ft.2
Lateral area = circumference of circular end * length
= pi * diameter * length
= 22 * pi * 9
= 198 pi
= 622.04 ft^2 answer Its C