Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x

Answer:

about 8 hours

Step-by-step explanation:

8 hours. It is Five hours plus Three hours.

Answer:

18

Step-by-step explanation:

90 - 72= 18

Answer:

4x-2y

Step-by-step explanation:

Answer:

0.42

Step-by-step explanation:

divide 100÷42 then the answer is 0.42

Answer:

(a) 6cm

Step-by-step explanation:

Hope you have good grades and study well...btw make me as brainliest ty sweetie!

Answer:

The pitch circle diameter is the diameter of the circle that intersects the center of the gear teeth and represents the theoretical size of the gear. It can be calculated using the formula:

Pitch circle diameter = (Number of teeth / Module) x pi

For the pinion, the number of teeth is 30, and the module is 12mm, so:

Pitch circle diameter of the pinion = (30 / 12) x pi = 7.853 cm (rounded to 3 decimal places)

For the gear, the number of teeth is 80, and the module is 12mm, so:

Pitch circle diameter of the gear = (80 / 12) x pi = 20.944 cm (rounded to 3 decimal places)

ii) Base circle diameter:

The base circle diameter is the diameter of the circle that defines the root of the gear teeth. It can be calculated using the formula:

Base circle diameter = Pitch circle diameter x cos(pressure angle)

For the given involute profile with 20° pressure angle, the base circle diameter can be calculated as:

Base circle diameter = Pitch circle diameter x cos(20°)

For the pinion, the base circle diameter is:

Base circle diameter of the pinion = 7.853 x cos(20°) = 7.415 cm (rounded to 3 decimal places)

For the gear, the base circle diameter is:

Base circle diameter of the gear = 20.944 x cos(20°) = 19.835 cm (rounded to 3 decimal places)

iii) Circular pitch:

The circular pitch is the distance between two adjacent teeth along the pitch circle. It can be calculated using the formula:

Circular pitch = pi x Module

For the given module of 12mm, the circular pitch can be calculated as:

Circular pitch = pi x 12 = 37.699 mm (rounded to 3 decimal places)

iv) Tooth thickness:

The thickness of the tooth is the distance between the pitch circle and the addendum circle. It can be calculated using the formula:

Tooth thickness = 0.5 x Circular pitch

For the given circular pitch of 37.699 mm, the tooth thickness can be calculated as:

Tooth thickness = 0.5 x 37.699 = 18.8495 mm (rounded to 4 decimal places)

v) Addendum circle diameter and clearance:

The addendum circle diameter is the diameter of the circle that defines the top of the gear teeth. It can be calculated using the formula:

Addendum circle diameter = Pitch circle diameter + (2 x Module)

For the given module of 12mm, the addendum circle diameter can be calculated as:

Addendum circle diameter of the pinion = 7.853 + (2 x 12) = 31.853 cm (rounded to 3 decimal places)

Addendum circle diameter of the gear = 20.944 + (2 x 12) = 44.944 cm (rounded to 3 decimal places)

The clearance is the distance between the addendum circle diameter and the dedendum circle diameter. It can be calculated as:

Clearance = 1.25 x Module

For the given module of 12mm, the clearance can be calculated as:

Clearance = 1.25 x 12 = 15 mm

Therefore, the clearance for both the pinion and gear is 15mm

Step-by-step explanation:

The required parameters fοr the given invοlute gears with 20° pressure angle and 12 mm mοdule are:

i) Pitch circle diameter: D1 = 360 mm, D2 = 960 mm

ii) Base circle diameter: Db1 = 338.32 mm, Db2 = 905.80 mm

iii) Circular pitch: p = 37.70 mm

iv) Thickness οf tοοth: t = 12 mm

v) Addendum circle diameter and clearance: Da1 = 384 mm, Da2 = 984 mm, c = 3 mm

In Euclidean geοmetry, an angle is the figure fοrmed by twο rays, called the sides οf the angle, sharing a cοmmοn endpοint, called the vertex οf the angle.

Given data:

Number οf teeth οn piniοn, N1 = 30

Number οf teeth οn gear, N2 = 80

Pressure angle, α = 20°

Mοdule, m = 12 mm

We can use the fοllοwing fοrmulas tο calculate the required parameters:

i) Pitch circle diameter:

D = m*N

where D is the pitch circle diameter and N is the number οf teeth.

Fοr the piniοn:

D1 = mN1 = 1230 = 360 mm

Fοr the gear:

D2 = mN2 = 1280 = 960 mm

ii) Base circle diameter:

Db = D*cοs(α)

where Db is the base circle diameter and D is the pitch circle diameter.

Fοr the piniοn:

Db1 = D1cοs(α) = 360cοs(20°) = 338.32 mm

Fοr the gear:

Db2 = D2cοs(α) = 960cοs(20°) = 905.80 mm

iii) Circular pitch:

p = π*m

where p is the circular pitch.

Fοr bοth piniοn and gear:

p = πm = π12 = 37.70 mm

iv) Thickness οf tοοth:

t = m

where t is the thickness οf tοοth.

Fοr bοth piniοn and gear:

t = m = 12 mm

v) Addendum circle diameter and clearance:

Addendum circle diameter:

Da = D1 + 2m

where Da is the addendum circle diameter.

Fοr the piniοn:

Da1 = D1 + 2m = 360 + 2*12 = 384 mm

Fοr the gear:

Da2 = D2 + 2m = 960 + 2*12 = 984 mm

Clearance:

c = 0.25m

where c is the clearance.

Fοr bοth piniοn and gear:

c = 0.25m = 0.25*12 = 3 mm

Hence, the required parameters fοr the given invοlute gears with 20° pressure angle and 12 mm mοdule are:

i) Pitch circle diameter: D1 = 360 mm, D2 = 960 mm

ii) Base circle diameter: Db1 = 338.32 mm, Db2 = 905.80 mm

iii) Circular pitch: p = 37.70 mm

iv) Thickness οf tοοth: t = 12 mm

v) Addendum circle diameter and clearance: Da1 = 384 mm, Da2 = 984 mm, c = 3 mm

To learn more about angles, Visit

https://brainly.com/question/25716982

#SPJ1

Answer:

Option 2

Step-by-step explanation:

You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:

1

.\(3x \geq -9\\x \geq -3\)

doesn't match

2.

\(-7x\geq 21\\x\leq -3\)

Does match, so this is the answer.

Answer:

im stuck between 20° and 19°. it sort of looks like its 20°. i would take a best educated guess of either 20 and 19. good luck!

Step-by-step explanation:

Answer:

it's the graph c

Step-by-step explanation:

(0, -2)

(1, 0)

(2, 2)

Answer:

8*7/4=7x

56/4=7x

14=7x

x=2

Step-by-step explanation:

you have to take 51 plus 11 and add it up. then your answer should be 62 degrees different.

Answer:

Step-by-step explanation:

To calculate the probability of a person driving while intoxicated or having a car accident, we need to use the formula for the union of events:

P(A or B) = P(A) + P(B) - P(A and B)

where A and B are the events of driving while intoxicated and having a car accident, respectively.

Using the probabilities given in the problem, we can calculate:

P(intoxicated) = 0.32

P(accident) = 0.09

P(accident | intoxicated) = 0.15

To find P(intoxicated or accident), we first need to find P(intoxicated and accident). We can use the formula for the conditional probability as follows:

P(intoxicated and accident) = P(accident | intoxicated) x P(intoxicated)

P(intoxicated and accident) = 0.15 x 0.32 = 0.048

Now we can use the formula for the union of events:

P(intoxicated or accident) = P(intoxicated) + P(accident) - P(intoxicated and accident)

P(intoxicated or accident) = 0.32 + 0.09 - 0.048

P(intoxicated or accident) = 0.362

Therefore, the probability of a person driving while intoxicated or having a car accident is 0.362, or approximately 36.2%.

S-G is the expression in terms of G and S

Given: log_b 4 = G, log_b9 = S and log_b 9/4

To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:

When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.

logₓ (a/c) = logₓa - logₓc

Thus,  log_b (9/4) = log_b 9 - log_b 4  = S - G  

(Note: log_b 4 = G and log_b9= S)

Therefore, the expression log_b (9/4) in terms of G and S is S-G

Learn more about logarithm rules on:

https://brainly.com/question/28596566

#SPJ1

Answer:

x  >  − 2

Step-by-step explanation:

When a man selects 3 items, the probability that they're all defective will be 1/64.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information, bag contains 8items of which two are deffective. The probability of a defective item is:

= 2/8

= 1/4

When a man selects 3 items, the probability that they're all defective will be:

= (1/4)³

= 1 / 64

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Complete question

A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

To learn more about compound interest check the given link

https://brainly.com/question/20406888

#SPJ1

Answer:

Area: \(5x\), Perimeter: \(2x+10\)

Step-by-step explanation:

a)

We know that for any rectangle the area is \(l*w\), where \(l\) is the length and \(w\) is the width.

Because the width is \(x\) and the length is \(5\), the area is \(x*5\) or \(5x\).

b)

We know that for any rectangle the perimeter is \(2(l+w)=l+w+l+w\), where \(l\) is the length and \(w\) is the width.

Because the width is \(x\) and the length is \(5\), the perimeter is \(2(x+5)=2x+10\).

So, the answers are \(Area:5x,~Perimeter:2x+10\)

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to the attachment for the steps.

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.

Given,

Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.

ΔYWZ ~ ΔYXW

Angle XWZ is a right angle is true about Angle XWZ.

To learn more about the angle, visit:

https://brainly.com/question/9448891

#SPJ1

Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

Step-by-step explanation:

Got it right on edge

Answer:

A wouldn now be at -4, -1

B would be at -1, -1

C would be placed at -1, -5

D would be located at -2, -2

Step-by-step explanation:

Hope it helps!

Answer:

5

Step-by-step explanation:

Factor- 5

\(Domain: x - R\)

\(Range : y - R\)

\(Zeros - 0\)

\(Y - intercept \: \: y = 5\)

\(Horizontal \: asmptotes \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 5, x > + \infty \)

\(Parity : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: The \: function \: is \: even\)

\(Monotonicity : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ( - \infty , \: \infty \: \: ) constant\)

.

.

Let x be the number

The statement can be written mathematically as;

2x² = 24x + 8x

2x² - 8x - 24 = 0

x² - 4x - 12 = 0

We can solve this using factorisation method

x² - 6x + 2x - 12 = 0

x ( x- 6) + 2(x - 6) = 0

(x - 6) (x + 2) = 0

Either x - 6 = 0 or x + 2 = 0

x = 6 or x = -2

\( {77.05 \: m}^{2} \)

hope this is correct

Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

Answer:

First derivative the equation

39x²-318x-412=0

then use the quadratic formula

then x = 9.29 or x = -1.14

Answer:

The width of the rectangle is 32cm and the length is 37cm.

Step-by-step explanation:

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

According to the given data the value is 22.

Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.

The value of the addition for 2+4+8+8=22

To know more about addition visit:

https://brainly.com/question/29560851

#SPJ1