The graph shows the movement of a car from point A to point D, there are two slant line AB and CD.
(1) Calculate the speed of the car during the first 10 seconds.
(2) For how long did the car stop.
(3) What is the average speed of the car for the whole journey.
(4) Why the line BC is flat not slant.

Answer:

7 and 1/8 i think

Step-by-step explanation:

Answer:

Radius of the circle is 5 units.

Step-by-step explanation:

JKLMN is a regular polygon inscribed in a circle.

Since, its a regular polygon,

JN = NM = 5.88 units

"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"

Therefore, PQ will be the perpendicular bisector of chord NM.

QM = [tex]\frac{1}{2}(NM)[/tex]

QM = [tex]\frac{1}{2}(5.88)[/tex]

QM = 2.94 units

By applying Pythagoras theorem in ΔPQM,

PM² = PQ² + QM²

PM² = (4.05)² + (2.94)²

PM = [tex]\sqrt{16.4025+8.6436}[/tex]

PM = [tex]\sqrt{25.0461}[/tex]

PM = 5 units

Therefore, radius of the circle is 5 units.

[tex]\boxed{c.\:n\:=\:18}[/tex] ✅

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

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18[/tex]

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢  \frac{6}{18} = \frac{14}{42} \\ ⇢  \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

The highlighted part is called Ray.

Given:

The matrix is [tex][-8][/tex].

To find:

The determinant of given matrix, i.e, [tex]|-8|[/tex].

Solution:

If a matrix is A of order [tex]1\times 1[/tex], then the value of the determinant of that matrix is equal to the element of that matrix.

For example: Let A be the matrix of order [tex]1\times 1[/tex].

[tex]A=[a][/tex]

Then,

[tex]|A|=a[/tex]

The given matrix is [tex][-8][/tex]. So, the  determinant of given matrix, i.e, [tex]|-8|[/tex], is

[tex]|-8|=-8[/tex]

Therefore, the value of determinant of given matrix is -8.

Answer:

-0.708073 this is the exact answer im not sure if they want you to round or not

Step-by-step explanation:

Answer:

wait I don't understand is this suppose to be a definition, City, or anything?

Answer:

ARN

Step-by-step explanation:

Answer:

[tex](a)\ -16t^2 + 7t + 63=0[/tex]

[tex](b)\ t = 2.215[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 7t + 63[/tex]

Solving (a): Equation when it hits the ground.

This means that [tex]h(t) = 0[/tex]

So, we have:

[tex]h(t) = -16t^2 + 7t + 63[/tex]

[tex]-16t^2 + 7t + 63=0[/tex]

Solving (b): The value of t in (a)

[tex]-16t^2 + 7t + 63=0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

This gives:

[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]

[tex]t = \frac{-7 \± 63.88}{-32}[/tex]

Split

[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]

[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]

[tex]t = -1.7775; or\ t = 2.215[/tex]

Time can't be negative; So:

[tex]t = 2.215[/tex]

Answer:

a)2.5 b)-1200

Step-by-step explanation:

a)2(-5)/4=-10/-4=5/2=2.5

b)2(-5)×(-6)×5(-4)=-10×-6×-20=-1200

Answer:

2.5, - 1200

Step-by-step explanation:

(a)

Substitute the given values into the expression

[tex]\frac{2a}{c}[/tex] = [tex]\frac{2(-5)}{-4}[/tex] = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

(b)

2a × b × 5c

= 10abc

= 10 × - 5 × - 6 × - 4

= - 50 × 24

= - 1200

Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

A

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

check that the formula in A works . . .

the 7th term should be 320

a(320) = 5(2)^7-1

= 5(2)^6

= 5(64)

= 320

Answer:

Cathy's number is not divide by 7 and 9

Step-by-step explanation:

Anh’s number is divisible by all numbers from 1 to 10 except 7.  

Hence, Anh’s number is 8*9*10 = 720

Bill’s number  does not divide by 9, hence his number would be = 3*8*5*7 = 840

The sum of numbers of all three is divisible by all numbers between 1 to10  

So the sum number is = 10*9*8*7 = 5040

Number of Cathy = 2520  – 720 -840 = 960

960 is not divisible by 7 and 9

Answer:

I think the question is from Sequence.

on the basis that I have studied I think this is the way. if I am wrong sorry

Given :

If, A = { x : x is a letter in the word 'MATHEMATICS' } .

To Find :

The members of A and find  n (A).

Solution :

We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .

Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.

So,

A = { M, A, T, H, E, I, C, S }

Now, number of element in set A is 8.

Therefore, n(A) = 8 .

Answer:

Symbol also in symbolizing something

Step-by-step explanation:

Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{If n = 4 and k = 12 the substitute it into the given equation.}[/tex]

[tex]\mathsf{\dfrac{2(4) - 6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{2\times4=\boxed{\bf 8}}[/tex]

[tex]\mathsf{\dfrac{8-6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{8-6=\boxed{\bf 2}}[/tex]

[tex]\mathsf{\dfrac{2+(5)(12)}{3(4-9)}}[/tex]

[tex]\mathsf{5\times12=\boxed{\bf 60}}[/tex]

[tex]\mathsf{\dfrac{2+60}{3(4-9)}}[/tex]

[tex]\mathsf{2+60=\boxed{\bf 62}}[/tex]

[tex]\mathsf{\dfrac{\bold{62}}{3(4-9)}}[/tex]

[tex]\mathsf{4 - 9=\boxed{\bf -5}}[/tex]

[tex]\mathsf{\dfrac{62}{3(-5)}}[/tex]

[tex]\mathsf{3\times-5=\boxed{\bf -15}}[/tex]

[tex]\mathsf{\dfrac{62}{\bf -15}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{62}{15}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Given that the radius of the circle is 5 cm and central angle is 80°.

We are required to find the area of the shaded region.

The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.

Area of circle=π[tex]r^{2}[/tex]

=3.14*25

=78.5 [tex]cm^{2}[/tex]

Area of the arc =([tex]r^{2}[/tex]Θ)/2

=(25*80π)/2*180

=(25*80*3.14)/360

=6280/360

=17.44

Area of the shaded region=78.5-17.444

=61.056

After rounding off to the nearest tenth it will be as under:

=61.06

Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Learn more about area at https://brainly.com/question/25965491

#SPJ1

Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

Answer:

1-0.2=0.8

0.8*3300= 2640

Original price = 3300

sale = 20% = 3300×20/100 = 660

Selling price= 3300-660= 2640 rs

the sale price of the bicycle is 2640 Rs

Answer:

y = 8x+6

Step-by-step explanation:

First find the slope since it is a linear function

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

    = (18-2)/(1 1/2 -  -1/2)

    =16 /  (1 1/2 +1/2)

    = 16/2

  = 8

The linear function is in the form

y = mx+b where m is the slope

y = 8x+b

Substitute the other point into the equation to determine b

10 = 8(1/2) +b

10 = 4+b

10-4 = b

6 = b

y = 8x+6

Answer:

the second one

Step-by-step explanation:

Answer:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

55 divided by 10 = 5.5 around 5

Add all your numbers

Divide by the many numbers there are, go by the exact value or estimate if needed.

Answer:

Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)

Answer:

x = y/2+1/2

Step-by-step explanation:

Simplify the equation, leaving X on one side, giving you x=y/2+1/2.

Using the Factor Theorem, the quadratic equation is given by:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:

[tex]f(x) = a(x + 4)(x + 6)[/tex]

[tex]f(x) = a(x^2 + 10x + 24)[/tex]

Considering that it passes through (-3, -18), we can find a, hence:

[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]

[tex]3a = 18[/tex]

[tex]a = 6[/tex]

Hence the equation is:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

More can be learned about the Factor Theorem at https://brainly.com/question/24380382

Answer:

40 : 200

Step-by-step explanation:

1/6 x 240 = 40

5/6 x 240 = 200

Answer:

[tex]m = \frac{5}{2} [/tex]

Step-by-step explanation:

Here are the laws which would be used in this question:

Indices:

• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]

• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]

Logarithm

• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]

[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]

[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]

[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]

[tex] = \frac{5}{2} log_{m}(2) [/tex]

Answer:

[tex]x=6+3\sqrt{2}[/tex] is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = [tex]12 -2x[/tex], height of the box = x

Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]

Differentiating the above equation and equating it to zero, we get –  

d/dx [tex]((12-2x)^2 * x)[/tex]

d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]

d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]

[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]

On solving above equation, we get –  

[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]