The slope is __ and the y-intercept is __

The answers to all parts shown below.

1. There are 3 ways to choose a shirt and 2 ways to choose a pair of pants.

By the multiplication principle, there are 3 × 2 = 6 ways to choose an outfit consisting of one shirt and one pair of pants.

Therefore, the answer is 6.

2. There are two choices of cones and three choices of ice cream and two choices of toppings.

So, the number of possible choices is:

= 2 (choices of cones) x 3 (choices of ice cream) x 2 (choices of toppings)

= 12 possible choices.

3. To see why, consider that there are 2 options for the crust and 5 options for the topping. You can combine any of the 2 crust options with any of the 5 topping options, giving you a total of 2 x 5 = 10 different pizzas.

4. When rolling a standard number cube, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6). When flipping a coin, there are 2 possible outcomes (heads or tails).

To find the total number of different outcomes when rolling a number cube and flipping a coin, you can multiply the number of outcomes for each event:

Total outcomes

= (number of outcomes for rolling a number cube) x (number of outcomes for flipping a coin)

= 6 x 2

= 12

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The point on the sphere x² + y² +z²=729 that is farthest from the point (5,23,11) is approximately (5.02, 23.09, 11.04).

To find the point on the sphere x² + y² + z² = 729 that is farthest from the point (5, 23, 11), we can use the fact that the farthest point will lie on the line passing through the center of the sphere and the given point.

The center of the sphere is (0, 0, 0) and the distance from the center to the given point is

d = sqrt((5-0)² + (23-0)² + (11-0)²) = sqrt(725)

So the line passing through the center and the given point is given by

x = 5t

y = 23t

z = 11t
To find the point on this line that lies on the sphere, we substitute these equations into the equation for the sphere: (5t)² + (23t)² + (11t)² = 729

Simplifying, we get:

725t² = 729

t² = 729/725

t ≈ ±1.004

Taking the positive value of t, we get:

x = 5(1.004) ≈ 5.02

y = 23(1.004) ≈ 23.09

z = 11(1.004) ≈ 11.04

So the point on the sphere that is farthest from the given point is approximately (5.02, 23.09, 11.04).

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The annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:

Depreciation Expense=  $400, Accumulated Depreciation = $400

The journal entry for the first year, given the production of 300 units, would be:

Depreciation Expense         $600 (300 units * $2)

  Accumulated Depreciation    $600

The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:

Depreciation Expense         $960 ($4,800 * 20%)

  Accumulated Depreciation    $960

1. Straight-Line Depreciation:

The straight-line depreciation method allocates an equal amount of depreciation expense each year over the useful life of the equipment. In this case, the annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:

Depreciation Expense         $400

  Accumulated Depreciation    $400

2. Units-of-Production Depreciation:

The units-of-production method bases depreciation on the actual units produced. The depreciation per unit is calculated as ($4,800 - $800) / 2,000 = $2 per unit. The journal entry for the first year, given the production of 300 units, would be:

Depreciation Expense         $600 (300 units * $2)

  Accumulated Depreciation    $600

3. Double-Declining-Balance Depreciation:

The double-declining-balance method accelerates depreciation in the early years of the asset's life. The depreciation rate is twice the straight-line rate. The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:

Depreciation Expense         $960 ($4,800 * 20%)

  Accumulated Depreciation    $960

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Answer:

0.032

Step-by-step explanation:

10-2 means that we move the point 2 places to the left.

Answer:

The answer is "16 feet"

Step-by-step explanation:

Please find the complete question in the attached file.

Answer:

9y+54

Step-by-step explanation:

Multiply the number on the outside of the parenthesis with both of the numbers on the inside of the parenthesis.

9*y=9y

9*6=54

Hope this helps!

Answer:

9y+54

Step-by-step explanation:

Alright we are going to be using the distributive law/Properties

The distributive property states that a(b+c)=ab+ac

So a=9,b=y,c=6

9y+9*6  

So you multiply the numbers

9y+54

So therefore, your answer would be 9y+54

The probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.875.

To solve this problem, we can calculate the complementary probability that it takes more than 3 attempts to make a satisfactory item and then subtract that from 1.

Let's first calculate the probability that it takes more than 3 attempts:

1. First attempt: unsatisfactory (0.5)
2. Second attempt: unsatisfactory (0.5)
3. Third attempt: unsatisfactory (0.5)

The probability that all three attempts are unsatisfactory is (0.5) * (0.5) * (0.5) = 0.125.

Now, we'll find the complementary probability by subtracting the probability of more than 3 attempts from 1:

1 - 0.125 = 0.875

So, the probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.875.

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Answer:

Piper traveled 115 miles for 6 hours.

Step-by-step explanation:

We just add the amount of distance that Piper traveled together, so "55+60 = 115 miles" and then we add the amount of time it took to travel that distance. So "3.5 + 2.5 = 6 hours".

Answer:

m<√-3 OR m<√3i

Step-by-step explanation:

f(x)=x²+2m(x+1)-3

with x<0

b²-4ac<0

(2m)²-4(1×-3)<0

4m²+12<0

4m²<-12

m²<-12/4

m²<-3

m<√-3 OR m<√3i

Step-by-step explanation:

\(f(x) = ln( \frac{1}{x} ) \)

To find the derivative, notice we have a function 1/x inside of another function, ln(x)

We use what we call the chain rule,

It states that

derivative of a '

\( \frac{d}{dx} f(g(x)) = f '(g(x)) \times \: g '(x)\)

Here f is ln(x)

f is 1/x

So first, we know that

\( \frac{d}{dx} ( ln(x) = \frac{1}{x} \)

so

\(f'(g(x)) = \frac{1}{ \frac{1}{x} } \)

We know that

\(g'(x) = - \frac{1}{ {x}^{2} } \)

So we have

\(x \times - \frac{1}{ {x}^{2} } = \frac{ - 1}{x} \)

Answer:

5/6= 10/12

12/100<10/12

Answer:2

Step-by-step explanation:

IM FAST RIGHT???

Answer:

A

Step-by-step explanation:

Hopefully this helps you

pls give me brainlest :)

Answer:

Step-by-step explanation:

the answer for 1 is %of student in sports club divided by SAT average and graduation rate divided by SAT average. For 2 is No the definition have opposite results

Answer:

its %of student in sports club divided by SAT average and Number of sports medals won divided by SAT average ,second answer No. The definitions have opposite results.

Step-by-step explanation:

Khan academy

Answer:

99

Step-by-step explanation:

Answer:

112 seconds

Step-by-step explanation:

According to my calculations girl here to tell you how.

40*14=560

560/5=112

if 14 is hours and 40 is minutes, multiplying and dividing by five gives you

*DRAMATIC MUSIC*

112 seconds

Answer:

176 minutes

Step-by-step explanation:

14 hours equals 840minutes + 40 minutes = 880 minutes

880/5=176

The main answer to the question is: None of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative. The explanation to support the answer is given below:

Normal distribution is a statistical distribution that depicts how values are dispersed in a dataset. It is also known as Gaussian distribution or bell curve because of its bell-shaped pattern. It is described by two parameters, i.e., mean and standard deviation.The mean of a normal distribution specifies the location of the center of the distribution. The variance of a normal distribution indicates the amount of variation from the mean. Variance is always positive, no matter whether the mean is positive or negative.

Therefore, if the mean of a normal distribution is negative, the variance must not be negative.Hence, none of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative.

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Answer:

3/4x+16

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is  L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

The value of segment ST is determined as 14.5 in.

The value of length ST is calculated as follows;

ST² = TR x ( TR + QT)

From the diagram given, the length of the sides are as follows;

TR = 7 in

QT = 7 in + 23 in = 30 in

The value of segment ST is calculated as follows;

ST² = 7 x 30

ST² = 210

ST = √ ( 210 )

ST = 14.5 in

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The length ST on the tangent is 12.69 inches.

The Intersecting Secant-Tangent theorem states that  If a tangent and a secant are drawn to a circle from an outside point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Therefore,

ST² = RT × RQ

Therefore,

RT = 7 inches

RQ = 23 inches

Hence,

ST² = 23 × 7

ST² = 161

ST = √161

ST = 12.6885775404

ST = 12.69 inches

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Step-by-step explanation:

p/x + z = y

p/x = y-z/1

p = x (y-z)

Let's denote the probability of event A as P(A) and the probability of event B as P(B). We are given that P(A) is exactly twice as large as P(B), so we can write this as:

P(A) = 2P(B)

We also know that the probability of the union of A and B, P(A ∪ B), is equal to 5/8.

The probability of the union of two events can be calculated using the formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Since A and B are independent events, the probability of their intersection, P(A ∩ B), is equal to the product of their individual probabilities:

P(A ∩ B) = P(A) * P(B)

Substituting the given information and the formulas into the equation, we have:

5/8 = 2P(B) + P(B) - 2P(B) * P(B)

Simplifying the equation, we get:

5/8 = 2P(B) + P(B) - 2P(B)^2

Rearranging the terms, we have:

2P(B)^2 - P(B) + 5/8 = 0

This is a quadratic equation in terms of P(B). We can solve it using the quadratic formula:

P(B) = (-b ± √(b^2 - 4ac)) / (2a)

For this equation, a = 2, b = -1, and c = 5/8. Plugging in these values into the quadratic formula, we get:

P(B) = (-(-1) ± √((-1)^2 - 4 * 2 * (5/8))) / (2 * 2)

Simplifying further:

P(B) = (1 ± √(1 - 10/8)) / 4

= (1 ± √(1/8)) / 4

= (1 ± 1/2√2) / 4

Since probabilities must be between 0 and 1, we discard the negative solution. Therefore:

P(B) = (1 + 1/2√2) / 4

This is the value of P(B) that satisfies the given conditions.

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Answer:

180° in a triangle

10x = 180

180/10 = x

X= 18

2 x 18 = 36°

<C = 36°

An isosceles triangle have equal base angles.

The measure of angle C is 36 degrees.

The given parameters are:

\(\mathbf{\angle A = \angle C = 2x}\)

\(\mathbf{\angle B = 6x}\)

The sum of angles in a triangle is 180 degrees.

So, we have:

\(\mathbf{\angle A + \angle B + \angle C = 180}\)

Substitute the expressions for A, B and C

\(\mathbf{2x + 6x + 2x = 180}\)

\(\mathbf{10x = 180}\)

Divide both sides by 5

\(\mathbf{2x = 36}\)

Recall that:

\(\mathbf{\angle C = 2x}\)

So, we have:

\(\mathbf{\angle C = 36}\)

Hence, the measure of angle C is 36 degrees.

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The marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity), as calculated using the conservation of momentum principle.

The conservation of momentum principle can be used to resolve this issue. The initial momentum of the system (marksman plus gun) is zero, and the final momentum is also zero because the bullet and the marksman have equal and opposite momenta. Therefore, we can write:

initial momentum = final momentum

\(0 = (M + m) * V + m * v\)

where M is the mass of the gun, m is the mass of the bullet, V is the velocity of the gun after firing, and v is the velocity of the bullet after firing (which is 181 m/s in this case).

Solving for V, we get:

\(V = - m * v / (M + m)\)

= \(\frac{- 0.014 kg * 181 m/s}{(4.00 kg + 0.014 kg)}\) ≈ -0.63 m/s

Therefore, the marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity).

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Answer: 3 mph

Step-by-step explanation:

I did it in mah brain

The converted units is 120 pounds = 54.5 kilogram

As a general rule, we have:

1 kilogram=2.2 pounds

Multiply both sides by 120

120 * 1 kilogram=2.2 pounds * 120

Divide both sides by 2.2

120/2.2 * 1 kilogram=2.2 pounds * 120/2.2

Evaluate the products

54.5 kilogram= 120 pounds

Rewrite as:

120 pounds = 54.5 kilogram

Hence, the converted units is 120 pounds = 54.5 kilogram

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Answer:

175<=12.5x+40

Step-by-step explanation:

She starts with 40 points already so you add in those 40 then since she gets 12.5 points per visit that is your x, so you set that as greater than or equal to 175

40+12.5x≥175 is the required inequality and 11 visits Ella can make to earn her first free movie ticket.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Based on the given conditions

40+12.5x≥175

Rearrange the unknown terms to the left side of the equation.

12.5x≥175-40

12.5x≥135

x≥135/12.5

x≥10.8.

Therefore 10.8 approximately 11 visits Ella can make to earn her first free movie ticket.

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The given table presents expressions in column a and column b, and we need to determine whether they are equivalent.

If they are not equivalent, we need to show how to change one expression to make them equivalent. Additionally, we need to demonstrate how to change expression a2 to make it equivalent to expression b2.

The expressions in row 1 are equivalent as both result in 1.5x.

The expressions in row 2 are not equivalent. To make them equivalent, we need to distribute the coefficients inside the parentheses: 3(x + 4) - 2(x + 4) simplifies to 3x + 12 - 2x - 8, which equals x + 4, matching expression b2.

The expressions in row 3 are not equivalent. To make them equivalent, we need to distribute the coefficients inside the parentheses: 6(x + 4) - 2(x + 5) simplifies to 6x + 24 - 2x - 10, which equals 4x + 14, matching expression b3.

The expressions in row 4 are equivalent as both result in 1.5x + 6.

The expressions in row 5 are not equivalent. To make them equivalent, we need to evaluate the expression 20(), which is undefined. Hence, we cannot make it equivalent to expression b5.

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