PLEASE HELP!!!!!!!!!





A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. Another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first car travel travels is: d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d= 1.74(t-3)^2


a. In the context, what is a suitable domain for the graph of this system?


b. At what time will both cars have driven the same distance?


c. How far will they have driven at this time?

Answer:

{x| x = -7, -6, 2, 11, 3}

Step-by-step explanation:

domain of a relation is the set of values of that act as input

so answer:-

{x| x = -7, -6, 2, 11, 3}

domain is taken as x

Answer:

a. 360°

b. 540°

Step-by-step explanation:

a The sum of the exterior angles of any n-sided polygon is always 360°. Therefore:

a + b + c + d + e = 360°

b. Sum of interior angles of an n-sided polygon is given as (n - 2) × 180

The polygon, QRTXW is a 5 sided polygon, therefore n = 5.

Plug in the value of 5 into the equation:

Sum of interior angles of QRTXW = (5 - 2) × 180

= 3 × 180

= 540°

Answer:

Reflection symmetry

Step-by-step explanation:

For an image to have reflection symmetry, it must appear the same after reflected over any line. In this case, there is a vertical line of symmetry we can reflect the image and not appear to have made any changes.

For an image to rotational symmetry, it needs to appear the same after being rotated some degree in either direction less than one full turn. In this case, there exists no rotation less than one full turn where we can rotate the image so it appears the exact same as it was before.

Therefore, this image only has reflection symmetry.

Answer:

The picture of file

Step-by-step explanation:

Your'e welcome

Answer:

6:9 ÷3

2:3

Step-by-step explanation:

1st write the ratio then simplify it with dividing with the Highest common factor on both sides

Answer:

[tex]4-6i[/tex]

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Answer:

answer of given question is 200 miles

for this answer give me brilliant tag

Answer:

200 miles

Step-by-step explanation:

this is really not difficult.

just solve the equation as it is already written there.

130 = 0.5m + 30

100 = 0.5m = m/2

m = 200 miles

that is all that is to it.

putting this in here as question costs way more time than just doing this.

Answer:

There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.

Step-by-step explanation:

There are two alternative ways of describing the location of points on a plane:

(i) Polar coordinate system (a.k.a. Circular coordinate system).

(ii) Elliptic coordinate system.

Now we proceed to explain briefly the characteristic of each option:

Polar coordinate system: [tex](r, \theta)[/tex]

Where:

[tex]r[/tex] - Distance of the point with respect to origin.

[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)

Elliptic coordinate system: [tex](\mu, \nu)[/tex]

Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)

[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)

Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.

Answer:

39×99=3861.

85×43+43×15=4300

39 multiple 99= 3861

Step-by-step explanation:

85 multiple 43 add 15=4300

Answer:

5/64

Step-by-step explanation:

5/8 : 8 = 5/8 * 1/8 = 5/64

Answer:

12 4/5

Step-by-step explanation:

simplified

Full question attached

Answer:

1. Subjects were not aware of the purpose of the experiment.

2. Subjects were not aware of all potential risks.

Subjects were not aware of the purpose of the experiment.

3. Subjects were coerced into participating

Explanation:

Ethics are the moral principles and codes that guide our daily decisions and actions. Ethical issues in conducting experiments or research aim at protecting the dignity of subjects or participants in the research. Major ethical issues in conducting research include: Respect for anonymity and confidentiality, beneficence(should not harm participants), and informed consent(independently volunteers after clear comprehensive information on research).

1. Experiment violates informed consent as participants were not aware of the purpose of research.

2. Experiment violates informed consent and beneficence as participants weren't fully informed and faced the risk of being harmed.

3. Experiment violates beneficence and informed consent as participants faced the risk of being harmed and did not independently volunteer for the research.

Answer:

-1

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (8 - 5) / (-10 - -7)

Slope = 3 / (-3)

Slope = -1

Answer:

Fifth degree polynomial

Step-by-step explanation:

Given data:

e^0.3

error = 0.0001

let the function ; f(x) = e^x

note : x = 0.3

The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2!  + x^3/3!  ---  + ∑ x^n/n!

= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- +  ∑ (0.3)^n/n!

Attached below is the remaining part of the solution

Answer:

a=3

b=1

Step-by-step explanation:

3=2a-3 => a=3

b=2*2-3 = 1

Answer:

Step by step  explanation

a

Answer:

IJKUKOKLIOLIOOOIOLI

Step-by-step explanation:

IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO

[tex]\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x - 4 = 13[/tex]

[tex]➺ \: 3x = 13 + 4[/tex]

[tex]➺ \: 3x = 17[/tex]

[tex]➺ \: x = \frac{ 17}{3} [/tex]

[tex]➺ \: x = 5 \frac{2}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]➺ \: 3x - 4 = 13[/tex]

[tex]➺ \: 3 \times 5 \frac{2}{3} - 4 = 13[/tex]

[tex]➺ \: 3 \times \frac{17}{3} - 4 = 13[/tex]

[tex]➺ \: 17 - 4 = 13[/tex]

[tex]➺ \: 13 = 13[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

9514 1404 393

Answer:

  (a)  y = 2/x

Step-by-step explanation:

The vertical and horizontal asymptotes are the axes, so there is neither a vertical nor a horizontal offset to the parent function y = 1/x. There is a vertical stretch by a factor of 2, so the describing function is ...

  y = 2/x

Answer:

x < 0.5

Step-by-step explanation:

Given

2(1 - x) > 2x ( divide both sides by 2 )

1 - x > x ( add x to both sides )

1 > 2x ( divide both sides by 2 )

[tex]\frac{1}{2}[/tex] > x , that is

x < [tex]\frac{1}{2}[/tex] OR x < 0.5

Answer:

D = 51, other = 30

Step-by-step explanation:

d = | 5  1 |

     |-1  10|

D = (5 x 10) - ( 1 x -1) = 50 + 1 = 51

| 2   4|

|-3   9|

(2 x 9) - (4 x -3) = 18 + 12 = 30

The function f(x)=3/4 (x) -3 is a straight line,

so the range of the function is (-∞,∞)

Answered by GAUTHMATH

Answer:

9 minutes

Step-by-step explanation:

Firstly they were in the same pace, Amy was walking while Frank was jogging.

then it will be 15 - 6 = 9

Answer:

Step 1 & Step 4 are true statements

Step-by-step explanation:

Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)

Answer:

hi, it's 16 because:

[tex]ab = bc \\ ab = 8 \\ ac = 2 \times 8 = 16 \\ ac = 16[/tex]

Answer:

16

Step-by-step explanation:

Theorem: In a circle, if a radius is perpendicular to a chord, then the radius is the perpendicular bisector of the chord.

In this case, the radius containing points O and B is perpendicular to chord AC, so the radius bisects chord AC making AB = BC.

Also,

AB + BC = AC

By substitution, we have

AB + AB = AC

AC = 2AB

AC = 2(8)

AC = 16

Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

The answer should be: B

I think it's B because there are 2 cups of water (2c) and 7 bottles of water (7w) which costs $16 so that would be 2c +7w=16. Also for the other one, it's 3 cups (3c) and 8 bottles of water (8W) and the cost is $19 so that would be

3c + 8w =19

Step-by-step explanation: Hope this helps and gl :))

Answer:

UJ

Step-by-step explanation:

The side that is opposite angle E is  UJ

Since this is a triangle, we use the corners that do not touch the angle, U and J and the segment is the one that connects them