In the parallelogram, SD = 4x - 3 and QS = 6x. Find QS.

Answer:

8

-

20

The answer is 8 over 20

Step-by-step explanation:

Answer:

8/25

Step-by-step explanation:

Divide 32 and 100 by 4

Answer:

Step-by-step explanation:

Answer:

The one you selected is correct.

There are a total of 10 * 7 * 6 = 420 different pin numbers that meet the given criteria.

In this case, you are looking for the number of different pins that have exactly three of the same digits and no repeating digits among the remaining ones.

There are 10 choices for each digit of the pin, since there are 10 digits to choose from (0 through 9). Since three of the digits must be the same, there are 10 choices for which digit to use for these three digits. There are then 7 choices for the first remaining digit, since it cannot be the same as the chosen digit that is repeated three times. There are then 6 choices for the second remaining digit, since it cannot be the same as either the chosen digit that is repeated three times or the first remaining digit.

Therefore, there are a total of 10 * 7 * 6 = 420 different pin numbers that meet the given criteria.

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The total distance travelled by the boat is 12 miles

Distance 1 = 8 mph × 3/4 h

= (8 × 3) / 4

= 24/3

= 8 miles

Distance 2 = 12 mph × 1/3 h

= (12 × 1) / 3

= 12/3

= 4 miles

Total distance = Distance 1 + Distance 2

= 8 miles + 4 miles

= 12 miles

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Answer:

True

Step-by-step explanation:

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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The number of full revolutions that Liz's front wheel completed is  16,037 full revolutions.

First, we need to find the circumference of the wheel. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius of the wheel is 54 cm, so we can plug that into the formula:

C = 2π(54 cm) = 108π cm

Next, we need to convert the total distance traveled from kilometers to centimeters, so that we can divide by the circumference of the wheel in centimeters.

There are 100,000 centimeters in a kilometer, so we can multiply the distance traveled in kilometers by 100,000 to get the distance in centimeters:

54.82 km * 100,000 cm/km = 5,482,000 cm

Now we can divide the total distance traveled by the circumference of the wheel to find the number of full revolutions:

5,482,000c m / 108π cm = 16,037.35

So, Liz's front wheel completed approximately 16,037 full revolutions.

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Answer:

1.2

I checked in the RSM system thing

Answer:

x = 2

Step-by-step explanation:

The measure of minor arc FD is 51x + 1

The measure of major arc FD is 360 - (51x + 1)

m<E = ½[m(major arc FD) - m(minor arc FD)]

36x + 5 = ½[360 - (51x + 1) - (51x + 1)]

72x + 10 = 360 - 51x - 1 - 51x - 1

174x = 348

x = 2

Answer:

Step-by-step explanation:

We can use the Heron's Formula to calculate the area of the triangle, yet first we need to calculate half the perimeter of the triangle

The sides are a= 11, b=9.7, c=4.6

Half of the perimeter is

s = (a+b+c)/ 2 = (11 +9.7 +4.6)/2 = 25.3/ 2 = 12.65 inches

Heron's Formula for calculating the area of the triangle:

A = √(s (s -a)(s -b)(s -c))

A = √(12.65* (12.65 -11)(12.65 -9.7)(12.65-4.6))

A = √(12.65* 1.65 * 2.95 *8.05)

A ≈ 22.26 inc.²

The mean for the random variable X, the number who have immunity in samples of size 26 is 15.6.

The mean for the random variable X, the number who have immunity in samples of size 26 can be found using the formula:

Mean (μ) = n x p

where n is the sample size and p is the probability of having immunity to the disease.

So, in this case, the mean would be:

Mean (μ) = 26 x 0.6

Mean (μ) = 15.6

Therefore, the mean for the random variable X, the number who have immunity in samples of size 26, is 15.6. This means that, on average, we can expect 15.6 people out of a sample of 26 to have immunity to the disease.

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The distance from sphere S of radius 1 centered at (3, 5, 7) to the plane x + y + z = 0 is 1 unit.

We are given that the sphere has a radius of 1 and a center at (3,5,7).

Then, the equation of the sphere is:

(x-3)^2+(y-5)^2+(z-7)^2=1.

So, we have that:

F(x,y,z)=x+y+z+d((x-3)^2+(y-5)^2+(z-7)^2-1)

Now, partially differentiating F(x,y,z) with respect to x:

\(\mathrm{F}_{\mathrm{x}}\)=1+2d(x-3)

Now, partially differentiating F(x,y,z) with respect to y:

\(\mathrm{F}_{\mathrm{y}}\)=1+2d(y-5)

Now, partially differentiating F(x,y,z) with respect to z:

\(\mathrm{F}_{\mathrm{y}}\)=1+2d(z-7)

Putting \(\mathrm{F}_{\mathrm{x}}\)=0:

1+2d(x-3)=0

x=3-(1/2d)

Putting \(\mathrm{F}_{\mathrm{y}}\)=0:

1+2d(y-5)=0

y=5-(1/2d)

Putting \(\mathrm{F}_{\mathrm{z}}\)=0:

1+2d(z-7)=0

y=7-(1/2d)

Substituting these values in the equation of the sphere:

(x-3)^2+(y-5)^2+(z-7)^2=1

3/(4d^2)=1

d=\(\pm \frac{\sqrt{3}}{2}\).

Therefore,

x=3-1/\(\sqrt{3}\),

y=5-1/\(\sqrt{3}\),

z=7-1/\(\sqrt{3}\).

Using the distance formula, we get:

Distance = \(\sqrt{\left(3-\frac{1}{\sqrt{3}}-3\right)^2+\left(5-\frac{1}{\sqrt{3}}-5\right)^2+\left(7-\frac{1}{\sqrt{3}}-7\right)^2}\)

Distance =\(\sqrt{\frac{3}{3} }\)

Distance = 1 unit.

Therefore, the distance of the sphere S to the plane is 1 unit.

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The value of the expression is 18.

The value of the expression is calculated by applying the principle of order of operation as shown below.

The given expression y ÷ 4 • 3 – 6 ÷ x + 8

re-write the expression as follows;

= y/4 × 3 - 6/x + 8

where;

The value of the expression is calculated as;

= ( 16 / 4 ) x 3  -   6 / 3  + 8

= ( 4 x 3 ) - ( 2) + 8

= ( 12 ) - 2 + 8

= 12 - 2 + 8

= 18

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The complete question is below:

Given the values x = 3 and y = 16, find the value of this expression,  y ÷ 4 • 3 – 6 ÷ x + 8

Answer:

Hope this helps out ! :D

The possible positive and negative measures are 155° and -205° respectively.

It is given that an angle has a reference angle of 25° and its terminal side lies in Quadrant II.

It is required to find the possible positive measure and negative measure for the angle.

the angle between the terminal side of the angle and the x-axis.

The terminal side lies in Quadrant II.

The positive measure is:

=180-25

=155°.

And the negative measure is:

= 155-360

= -205°.

Thus, the possible positive measure and negative measures are 155° and -205° respectively.

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1) General solution for second order differential equation, y" – 2y' + y = 0, is y = (c₁x + c₂)eˣ .

2) General solution for differential equation, 9y" + 6y' + y = 0, is y =(c₁x + c₂)e⁻³ˣ.

3) General solution for differential equation, 4y"- 4y'- 3y = 0, is y = c₁ e⁶ˣ+ c₂e⁻⁴ˣ.

4) General solution for differential equation, 4y" + 12y' +9y = 0, is y = (c₁x + c₂)e⁻⁶ˣ.

5) General solution for differential equation, y" – 2y' + 10y = 0, is y = eˣ (c₁cos(6x) + c₂sin(6x)).

6) General solution for differential equation, y" – 6y' +9y = 0 is y = (c₁x + c₂)e³ˣ.

7) General solution for differential equation, 4y" + 17y' + 4y = 0, is y = c₁e⁻ˣ + c₂e⁻¹⁶ˣ.

8) General solution for differential equation, 16y" + 24y' +9y = 0, is y = (c₁x + c₂)e⁻¹²ˣ.

9) General solution for differential equation, 25y" – 20y' + 4y = 0, is y = (c₁x + c₂)e¹⁰ˣ.

10) General solution for differential equation, 2y" + 2y' + y = 0, is y = e⁻ˣ (c₁cos(2x) + c₂sin(2x)).

General solution is also called complete solution and complete solution = complemantory function + particular Solution

Here right hand side is zero so particular solution is equals to zero. Therefore, evaluating the complementary function will be sufficient to determine the general solution to the differential equation.

1) y"-2y' + y = 0, --(1)

put D = d/dx, so (D² - 2D + 1)y =0

Auxiliary equation for (1) can be written as, m² - 2m + 1 = 0 , a quadratic equation solving it by using quadratic formula,

\(m =\frac{-(- 2) ± \sqrt { 4 - 4}}{2}\)

=> m = 1 , 1

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)eˣ .

2) 9y" + 6y' + y = 0 or (9D² + 6D + 1)y =0 Auxiliary equation can be written as, 9m² + 6m + 1 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (6) ± \sqrt {36 - 4×4}}{2}\)

=> m = - 6/2

=> m = -3 , -3

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e⁻³ˣ.

3) 4y"- 4y'- 3y = 0

put D = d/dx, so (4D² - 4D - 3)y = 0

Auxiliary equation can be written as, 4m² - 4m - 3 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{-(-4) ± \sqrt {16 - 4×4×(-3)}}{2}\)

=> m = (4 ± 8)/2

=> m = -4 , 6

The roots of equation are real and equal. So, general solution is y = c₁ e⁶ˣ + c₂e⁻⁴ˣ.

4) 4y" + 12y' +9y = 0 or (4D² + 12D + 9)y= 0

Auxiliary equation can be written as, 4m² + 12m + 9= 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{-(12) ± \sqrt{144 - 4×4×9}}{2}\)

=> m = -12/2

=> m = -6 , -6

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e⁻⁶ˣ.

5) y" – 2y' + 10y = 0 or (D² - 2D + 10)y = 0 Auxiliary equation can be written as, m² - 2m + 10 = 0 , a quadratic equation

solving it by using quadratic formula,

\(m =\frac{ - (-2) ± \sqrt {4 - 4×1×10}}{2}\)

=> m = (2 ± 6i)/2 ( since, √-1 = i)

=> m = 1 + 6i , 1-6i

The roots of equation are imaginary and unequal. So, general solution is y =eˣ (c₁cos(6x) + c₂sin(6x)).

6) y" – 6y' +9y = 0 or (D²- 6D + 9)y =0

Auxiliary equation can be written as, m² - 6m + 9 = 0 , a quadratic equation

solving it by using quadratic formula,

\(m =\frac{ - (-6) ± \sqrt {36 - 4×1×9}}{2}\)

=> m = 6/2 = 3,3

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e³ˣ.

7) 4y" + 17y' + 4y = 0 or (4D²+ 17D + 4)y=0

Auxiliary equation can be written as, 4m² + 17m + 4 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{- (-17) ± \sqrt {16 - 4×4×17}}{2}\)

=> m = ( -17 ± 15)/2

=> m = (-17 + 15)/2, (- 17 - 15)/2= -1, -16

The roots of equation are real and unequal. So, general solution is y = c₁e⁻ˣ + c₂e⁻¹⁶ˣ.

8) 16y"+24y'+9y =0 or (16D²+ 24D + 9)y= 0

Auxiliary equation can be written as, 16m² + 24m + 9 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (24) ± \sqrt {576 - 4×9×16}}{2}\)

=> m = (-24 ± 0)/2

=> m = -12,-12

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e⁻¹²ˣ.

9) 25y"- 20y' +4y =0 or (25D²-20D + 4)y = 0

Auxiliary equation can be written as, 25m²- 20m + 4 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (-20) ± \sqrt {400 - 4×4×25}}{2}\)

=> m = 20/2

=> m = 10 , 10

The roots of equation are real and equal. So, general solution is y = (c₁x + c₂)e¹⁰ˣ.

10) 2y" + 2y' + y = 0 or (2D²+ 2D + 1)y =0

Auxiliary equation can be written as, 2m² + 2m + 1 = 0 , a quadratic equation solving it by using quadratic formula, \(m =\frac{ - (2) ± \sqrt {4 - 4×1×2}}{2}\)

=> m = (- 2 ± 4i)/2 ( since, √-1 = i)

=> m = -1 + 2i , -1 - 2i

The roots of equation are imaginary and unequal. So, general solution is y = e⁻ˣ (c₁cos(2x) + c₂sin(2x)). Hence, required solution of differential equation is y = e⁻ˣ (c₁cos(2x) + c₂sin(2x)).

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Answer:

the answer is the third option

Step-by-step explanation:

Answer:

the three sides have the same length

Step-by-step explanation:

I just took the test

Answer:

D

Step-by-step explanation:

This is a 90 degree angle

90-35=55

X=11

35+5x=90

-35. -35

5x=55

Divide both sides by 5

X=11

Answer:

x=2

Step-by-step explanation:

\(4x+2x+6=18 < - Start-by-grouping-the-like-terms!\)
\(6x+6=18 < - Then-add-the-similar-elements!\)
\(6x+6-6=18-6 < - Subtract-6-from-both-sides-and-simplify.\)
\(6x=12\)
\(\frac{6x}{6}=\frac{12}{6} < - Divide-both-sides-by-6-to-further-simplify!\)
\(x=2\)
________________________________________________________
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Although a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.

A nationwide opinion poll's results are often less variable as the random sample size is increased since the bigger sample size more accurately represents the people being sampled.

It does not necessarily lessen bias, which is the term for systemic mistakes in the sampling process or polling methodology that may endure even with a larger sample size.

The accuracy of the poll's results can be improved by reducing random mistakes like sampling and measurement errors with a bigger sample size.

The standard error of the mean, a measurement of the variability of the sample mean from sample to sample, is often less the bigger the sample size.

A national opinion poll's measure of interest, the population mean, can be more accurately estimated with a smaller standard error.

If the sample is not completely random or representative of the population being investigated, bias may still exist in a bigger sample.

For instance, the findings may be biassed if the pollsters oversample a certain demographic group or geographic area.

Non-response bias can also happen if a certain group of people is less likely than others to reply to the survey.

As a result, while a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.

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Question 17

The slope is 1 and the y-intercept is 1.

Question 18

The slope is -3/5 and the y-intercept is 1.

Answer:

17: A

18: B

Step-by-step explanation:

17: this is because there are only 2 positive graphs and only A has the y intercept of 1

18: there are only 2 negative graphs and only B has an intercept of 1

Answer:

0.87 inches (or if it meant after 3.5 more hours, 4.37 inches)

Step-by-step explanation:

15/3.5 is 4.29(rounded to the nearest hundredth)

3.75/4.29= 0.87 inches

(or if it meant after 3.5 more hours)

3.5+0.87= 4.37

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Here's the solution :

Answer:

8\(x^{4}\)-3\(x^{3}\)-2\(x^{2}\)+7

Step-by-step explanation:

The first thing to do in this problem is distribute the negative in front of (\(-3x^4+2x^2-5\)). This makes it \(3x^4-2x^2+5\).

From here you can remove the parenthesis and combine like terms. 5\(x^{4}\) combines with 3\(x^{4}\) to get 8\(x^{4}\) and 2 and 5 combine to get 7. The -3\(x^{3}\) and -2\(x^{2}\) cannot combine with anything since they don't share any like terms.

Using the combinations, bring all of the terms back together and you get 8\(x^{4}\)-3\(x^{3}\)-2\(x^{2}\)+7

Answer:

$1920

Step-by-step explanation:

to find a percent of a number, divide the percent by 100 then multiply by the value:

The money factor will be used to calculate Bob’s payment is 0.0033.

Given

Bob is thinking about leasing a car.

The lease comes with an interest rate of 8%.

The money factors can be converted to interest rates by multiplying by 2,400.

In the same vein, if the car dealer uses an interest rate, this can be converted to a money factor by dividing by 2,400.

\(\rm APR = 2400 \times money\ factor\\\\Money \ factor = \dfrac{ARP}{2400}\)

Therefore,

The money factor will be used to calculate Bob’s payment is;

\(\rm APR = 2400 \times money\ factor\\\\Money \ factor = \dfrac{ARP}{2400}\\\\Money \ factor = \dfrac{0.08}{2400}\\\\Money \ factor =0.0033\)

Hence, the money factor will be used to calculate Bob’s payment is 0.0033.

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Answer:

✅ C. 0.00333

CORRECT ⬇️

Answer: 66 degrees for 1st angle

52 degrees for 2nd angle

62 degrees for 3rd angle

Step-by-step explanation:

3x+(x + 30)+(x + 40)=180

3x+x+30+x+40=180

3x+x+x+30+40=180

5x+70=180

5x=110

x=22

3x=

3(22)=66 degrees for 1st angle

x+30=

22+30=52 degrees for 2nd angle

x+40=

22+40=62 degrees for 3rd angle

Answer:

3x=66

x+30=52

x+40=62

66,42,62

Step-by-step explanation:

(3x)+(x+30)+(x+40)=180

5x+70=180

5x=110

x=22

3x=66

x+30=52

x+40=62

Answer:

Brand A

Step-by-step explanation:

Answer:

brand A holds more volume so A would be the correct answer to the question

Step-by-step explanation: