A penny is dropped onto a rectangular surface. If it is equally likely for the penny to land anywhere inside the large rectangle, what is the probability that all or part of the penny will come to rest inside the shaded area? Round your answer to the nearest whole percent. A. 23% B. 26% C. 30% D. 32%

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-11,7) be [tex]x_1[/tex] and [tex]y_1[/tex], and (-5,1) be [tex]x_2[/tex] and [tex]y_2[/tex]

Plug in the numbers:

[tex]d=\sqrt{(-5-(-11))^2+(1-7)^2[/tex]

[tex]d=\sqrt{6^2+(-6)^2}[/tex]

[tex]d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8[/tex]

Answer:

The answer is 3.

Step-by-step explanation:

In order to get 5 as the denominator, you would divide 25 by 5. Hence, you would do the same to the numerator. 15 divided by 5 equals three.

Hope this helps! Stay safe! So cool that you live in the UK!

xx gloriouspurpose xx

p.s. from america lol

Answer:

x=4

Step-by-step explanation:

We can use the leg rule

hyp          leg

------- =  -----------------

leg            part

2+6          x

------- =  -----------------

x            2

Using cross products

8*2 = x^2

16 =x^2

Take the square root of each side

4 =x

Answer:

(x-1)/x

Step-by-step explanation:

its not having any term .

Answer:

(x - 1)/x

Step-by-step explanation:

A polynomial can have variables, variables raised to exponents, and variables can be multiplied by numbers. A polynomial cannot have division by a variable, a variable in a root, a logarithm of trig function of a variable.

All are polynomials except for (x - 1)/x where there is division by a variable.

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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Answer:

(11, 3)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

15 g.

Step-by-step explanation:

The following data were obtained from the question:

Heat required (Q) = 350 J

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Specific heat capacity (C) = 1.2 J/g°C

Mass (M) =..?

Next, we shall determine the change in temperature.

This is illustrated below:

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Change in temperature (ΔT) =..?

Change in temperature (ΔT) = T2 – T1

Change in temperature (ΔT) = 30 – 10

Change in temperature (ΔT) = 20 °C

Finally, we shall determine the mass of the substance as follow:

Heat required (Q) = 350 J

Specific heat capacity (C) = 1.2 J/g°C

Change in temperature (ΔT) = 20 °C

Mass (M) =.?

Q = MCΔT

350 = M x 1.2 x 20

Divide both side by 1.2 x 20

M = 350 / (1.2 x 20)

M = 14.5 ≈ 15 g

Therefore, the mass of the substance is

15 g.

Answer:

15 g

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

I am rounding it to 1 significant figure.

9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)

5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)

So it now is 10 x 5 = 50

Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

Given product is 9.8 * 5.2

Now we are rounding it to 1 significant figure.

Round up when the last digit is 5, 6, 7, 8 or 9

9.8 = 10

Round down when the last digit end with 0, 2, 3 or 4

5.2 = 5

So, 10 x 5 = 50

Thus, option B is correct.

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Answer:

It cost $164 to produce 765 gallons of chocolate chunk ice

Step-by-step explanation:

The function C(g) represents the cost (C) to produce g gallons of chocolate chunk ice.

Given the statement:

C(765)=164

Comparing with C(g), we have that:

Cost, C = $164

Number of gallons of chocolate chunk ice. g=765

Therefore, the meaning of the given statement is:

It cost $164 to produce 765 gallons of chocolate chunk ice

Answer:

c

Step-by-step explanation:

Using the sine ratio in the right triangle

sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus

∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c

Answer:  

Step-by-step explanation:

≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)

So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC

{ΔABC≅ΔDEF  and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO

And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC

{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR

Answer: 32

Step-by-step explanation:

Let x + y = 5

x = 5 - y....................(1)

10x + y -9 = 10y + x..... . (2)

Substituting (1) in (2)

10(5-y) + y - 9 = 10y + (5-y)

50-10y + y - 9 = 10y + 5 - y

41 - 9y = 9y + 5

-9y - 9y = 5-41

-18y = - 36

y = 36/2 = 2

So, x = 5-2 = 3

Answer:

a and b are examples of a vertical pair.

Step-by-step explanation:

Vertical pairs are equal to each other with the same degrees.

Answer:

No solutions.

Step-by-step explanation:

x minus 3y = 4

x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3

-2x + 6y = 3

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

Hope this helps!

The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given system of equation;

x minus 3y = 4 means x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3 means -2x + 6y = 3

Solving;

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

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Answer:

D (6,1)

Step-by-step explanation:

[tex]x + 3y = 9[/tex]

[tex]y = x-5[/tex]

When [tex]y = x-5[/tex], it means we don't need to move the variables to the left side and right side. We can use [tex]y = x-5[/tex] to substitute into the first equation [tex]x + 3y = 9[/tex] directly.

[tex]x + 3y = 9[/tex]

[tex]x+3(x-5)=9[/tex]

[tex]x+3x-15=9[/tex]

[tex]4x=9+15[/tex]

[tex]4x=24[/tex]

[tex]x=6[/tex]

When x=6, we can substitute the value of x into any equation whatever you want. You can choose [tex]x + 3y = 9[/tex] or [tex]y = x-5[/tex]. I choose [tex]y = x-5[/tex] is easier to get the value of y.

When x=6, substitute into [tex]y = x-5[/tex]

[tex]y=6-5[/tex]

[tex]y=1[/tex]

Hooray, now you have the value of x and y which are x=6 and y=1.

I hope you will understand the answer.

You can ask any question here if you still cannot get the point. Don't be shy.

Answer:

d (6,1)

Step-by-step explanation:

a pex

Answer:

Choice C.

Step-by-step explanation:

There are students listening to music for 6.5 hours. So, the students will be in a range where the numbers on the x-axis go to 9.

According to the table, there are 11 students who listen to music for 0 to 3 hours. There are 3 students who listen to music for 3 to 6 hours. There is 1 student listening to music from 6 to 9 hours. This data matches up with the histogram from Choice C.

Hope this helps!

Answer:

a) deceleration = 0.4 m/s^2

b) distance = 320m

Step-by-step explanation:

a)

using formula a = (v-u)/t,

acceleration a = unknown (deceleration is the negative of acceleration)

final velocity v = 0 m/s (rest)

initial velocity u = 16 m/s

time t= 40s.

a = (0-16)/40

a = -0.4

Hence deceleration = 0.4 m/s^2

b)

Use formula v²-u² = 2as

distance s = unknown

0²+16² = 2(-0.4)(s)

s = 320m

Answer:

[tex] 4y^3 [/tex]

Step-by-step explanation:

[tex] \dfrac{4}{y^{-3}} = [/tex]

[tex] = 4 \times y^3 [/tex]

[tex] = 4y^3 [/tex]

Answer:

4y^3

Step-by-step explanation:

Answer:

Output work = 1Nm

Input work = 1Nm

Load arm = 0.02m

Step-by-step explanation:

Given the following :

Effort applied = 10N

Load = 50N

Effort distance = 10cm = 10/100 = 0.1m

Calculate : the load arm, input work and output work

Input work = Effort × distance moved by effort

Input work = 10N × (0.1)m = 1J

B) Load arm or load distance :

Mechanical advantage (MA) = load / effort

MA = 50 / 10

MA = 5

MA = input distance / output distance

5 = 0.1 / load arm

load arm = 0.1 / 5

load arm = 0.02m

C.) Output work :

Load × load distance

50N × 0.02

Output work = 1J

Answer:

2 months

Step-by-step explanation:

$80 x 0.5 = $40

$80 + $40 = $120

$120 * 0.25 = $30

1st month - $120-$30 = $90

2nd month - $90-$22.5 = $67.5

Answer:

AFTER 2 MONTHS

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Here we will use BODMAS

42 - 3⋅4 + 7

42 - 12 + 7

42 - 19 = 23

Answer:

Answer is 11

Step-by-step explanation:

I took the quiz

Answer:  z = 81

Step-by-step explanation:

TW is the midsegment of ΔSUV   ⇒   UV = 2TW

Given: UV = z - 51, TW = z - 61

z - 51 = 2(z - 61)

z - 51 = 2z - 132

   -51 =  z  - 132

    81 = z

Answer:

5 pages per hour

Step-by-step explanation:

Here, we need the constant of proportionality in pages per hour.

This is just like having 2 sets of point of a graph and asked to find the slope

Where the pages is the y-axis or vertical axis and the number of hours is the horizontal axis.

So let’s proceed to say we have points ;

(4,20) and (5,25)

So the constant of proportionality would be;

(25-20)/(5-4) = 5/1 = 5 pages per hour

Answer:

The angles of this would be x=30

Step-by-step explanation:

If they are proportional to 1:2:3, then we can do 2 things.

They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.

Second, the angles of an triangle equal 180.

Adding 1 + 2 =

1x + 2x + 3x = 180

6x = 180

x = 30

Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.

Answer:

the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.

Step-by-step explanation:

The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.

so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.

Answer:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Step-by-step explanation:

For this case if we want to find a model for the population number after some time t we can use the following general model:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Answer:

Step-by-step explanation:

The pasta plate will cost $​ 5.5

y=4x+2.5 ( x is the number of ingredients)

$​ 2.5+(4*0.75)= 5.5 dollars