Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees. What is the value of x?

Answer:

A) The initial position of the particle is 2 meters.

B) The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].

C) The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].

D) The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.

Step-by-step explanation:

A) From statement we know that [tex]s(t) = -t^{2}+t+2[/tex], where [tex]t[/tex] is the time, measured in seconds, and [tex]s(t)[/tex] is the distance, measured in meters. The initial position of the particle is calculated by evaluating the function presented above at [tex]t=0\,s[/tex]. That is:

[tex]s(0) = -(0)^{2}+(0)+2[/tex]

[tex]s(0) = 2\,m[/tex]

The initial position of the particle is 2 meters.

B) According to the Theory on Kinematics, we see that velocity is the rate of change of position in time. In other words, we need to derive the equation once:

[tex]v(t) =-2\cdot t +1[/tex] (1)

Where [tex]v[/tex] is the velocity, measured in meters per second.

The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].

C) And the acceleration is the rate of change of velocity in time. In other words, we need to derive the equation above:

[tex]a(t) = -2[/tex] (2)

The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].

D) At first we solve the function position for [tex]s = 0[/tex], that is:

[tex]-t^{2}+t+2=0[/tex] (3)

[tex](t-2)\cdot (t+1)=0[/tex]

The only reasonable root of the polynomial is [tex]t = 2\,s[/tex].

And now we evaluated the velocity function at given result:

[tex]v(2) = -2\cdot (2) +2[/tex]

[tex]v(2) = -2\,\frac{m}{s}[/tex]

The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.

Answer:

Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.

38,350 / 26 = her salary from last year per check.

46,462 / 26 = her new salary per check

(46,462 - 38,350) / 26 = the difference per week

a. last year Beth's biweekly salary was 1597.91 dollars.

b. This year Beth's biweekly salary is 1935.91 dollars.

c. On a biweekly basis she earns 338 dollars more now as a result of her promotion.

One months contains 2 bi-weeks therefore to convert months into bi-weeks we have to multiply the given months by 2.

According to the given question

Last year Beth's annual salary was 38350 dollars.

∴ Her monthly salary was (38350/12) dollars.

= 3195.83 dollars.

She is being paid biweekly meaning twice a month in every two weeks interval.

∴ Her biweekly amount is

=(3195.83/2) dollars

= 1597.91 dollars. (a).

So, her salary last year was 1597.91 dollars biweekly.

This year she received a promotion and now earns 46462 dollars per year.

∴ Her biweekly salary is

= (46462/2×12) dollars.               ( as there is 2 bi-weeks in every months)

= 1935.91 dollars. (b).

As a result of her promotion she earns (1935.91 - 1597.91) dollars more as a result of her promotion.

= 338 dollars.

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Answer:

100

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

That's the distance per minute

Answer:

56ft

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

2x6= - 2

Answer:

(-2)6

Step-by-step explanation:

Answer:

My code issssssss 163759

Step-by-step explanation:

Answer:

go charizard

Step-by-step explanation:

Step-by-step explanation:

20=4*1.95+1.99n

n=6

Audrie can buy 6 notebooks

Answer:

d:113 sq in

Step-by-step explanation:

Answer:

1 to 2

1:4

9 to 11

?

?

1 to 7

9 to 5

3 to 1

2:1

3 to 2

1 to 2

6 to 1

3:1

8 to 1

?

Answer:

6 stops.

Step-by-step explanation:

The answer is 6 stops, because 4 times 6 is 24 and 24 plus 7 is 31.

Answer:

-3/5

Step-by-step explanation:

-7-8/-15-10= -15/-25

divide by 5 to get -3/-5 or - 3/5

Answer:

Step-by-step explanation:

step one:

given data

blue fabric costs $9 a yard.

green fabric costs $13 a yard.

Let x represent the number of blue yards of fabric purchased and

let y represent the number of green yards of fabric purchased.

Step two:

The quilter needs at least 9.5 yards of fabric in total.

x+y>=9.5--------1

The quilter can spend up to $110 on fabric.

9x+13y<=110----2

from equation

x+y>=9.5

x=9.5-y

put x=9.5-y in equation 2 we have

9(9.5-y)+13y<=110----2

85.5-9y+13y=110

4y=110-85.5

4y=24.5

y=24.5/4

y=6.125

put y=6.125 in x=9.5-y to find x

x=9.5-6.125

x=3.375

Hence the quilt can purchase

3.375yards of  blue fabric

6.125yards of  green fabric

3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.

Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.

Hence:

x + y ≥ 9.5   (1)

The quilter can spend up to $110 on fabric. Hence:

9x + 13y ≤ 110    (2)

The solution to the inequality is:

x = 3.375, y = 6.125

3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.

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Answer:

typing this answer to get points hope u get ur answer soon :)

Step-by-step explanation:

Answer:

90 degree rotation counterclockwise, or a 270 degree rotation clockwise.

[tex]\huge\red{\boxed{Answer}}[/tex]

Given:

To find:

Solution:

⇛y - 2 = 6

⇛y = 6 +2

⇛y = 8

substitute 8 in place of y

⇛y + 4

⇛8 + 4

⇛12

12 is the answer

.

8. Center

As the location of the center of the circle is (3, 3).

9. Endpoints of a diameter

As we know that the diameter is the magnitude (often called the length) of the line through the center.

From the diagram, it is clear that:

Also, observe the length of a diameter is 6 units.

10. A point of Tangency

We know that at the point of Tangency, the tangent to a circle will always be perpendicular to the radius.

From the diagram, it is clear that:

11. Endpoints of a chord that is not a diameter

A chord is basically a line that touches two points.

From the diagram, it is clear that:

12. Endpoints of a radius

We know that a radius is basically a straight line from the center of a circle to the circumference of a circle.

The length of a radius r = diamter length/2

From the diagram, it is clear that:

Answer:

let y=the inner missing angle

y+x+31=180

y+(2x-8)=180

and combine the two

2x-8-x-31=0

x=39

Step-by-step explanation:

Answer:

Step-by-step explanation:

Complementary means that the two angles add to 90 degrees. Since we know the measure of one angle, we will subtract 25 from 90 to get 65 degrees for angle 2.

Answer:

[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt {(-3-1)^2+(1-5)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-4)^2+(-4)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {16+16}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {32}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt{32}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf ST=\sqrt {(-7-3)^2+(3-1)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-10)^2+(2)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {100+4}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf ST={\sqrt{104}}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {(-5-7)^2+(7-3)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-12)^2+(4)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {144+16}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {150}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {(-5-1)^2+(7-5)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-6)^2+(2)^2}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf \sqrt {36+4}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {40}[/tex]

Perimeter =RS+ST+TV+RV

[tex]{:}\leadsto[/tex][tex]\sf \sqrt{32}+\sqrt {104}+\sqrt {150}+\sqrt {40}[/tex]

[tex]{:}\leadsto[/tex][tex]\sf Perimeter =4\sqrt{20}[/tex]

Answer:

2

Step-by-step explanation:

Thanks for the points Kiddo

Answer:

The height of the candle decreases by 1.6 inches every hour, and its original height was 20 inches.

Step-by-step explanation:

Answer:

622

Step-by-step explanation:

The 7 rounds up the .9, adding 1 to the ones place, making it 622

Answer:

620

Step-by-step explanation:

As they said TENS ( and not TENTHS ) place, the 1 ( in ones position) determines the answer hence 620.

Answer:

y= 3x + 1

Step-by-step explanation:

Answer:

y=3x+1

Step-by-step explanation: