How many area codes (ABC) would be possible if all three digits could be any value 0-9?

The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Answer:

(5, -93) local minima, (-1, 15) local maxima

Step-by-step explanation:

differentiate this equation,  we get

y' = 3x^2 - 12 x -15

the x-axis of the vertices are:

3x^2 - 12x - 15 = 0

(x-5)(3x+3) = 0

x1 = 5 and x2=-1

so the positions of the vertices are (5, -93) and (-1 , 15)

(5, -93) is the local minima, and (-1, 15) is the local maxima

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Answer:

x=1

Step-by-step explanation:

(3x-4(2)+9)=x-3

3x+1=x-3

2x+1=3

2x=2

x=1

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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The area of the region bounded by the x-axis and the function y = f(x+4) is G 8 units.

Let's denote the area of the region bounded by the x-axis and the function y = f(x) as A. Then we have:

A = ∫₀^₄ f(x) dx (integral of f(x) from x=0 to x=4)

We want to find the area of the region bounded by the x-axis and the function y = f(x+4), which is the same as the region bounded by the x-axis and the function y = f(u) where u = x+4.

We can express the area of this region as:

∫₋₄⁰ f(u-4) du (integral of f(u-4) from u=-4 to u=0)

Using the substitution u = x+4, we can rewrite the above integral as:

∫₀^₄ f(u-4) du (integral of f(u-4) from u=0 to u=4). We can see that this integral is exactly the same as the integral we used to calculate the area A.

Therefore, the area of the region bounded is also 8 units².

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Answer:

one and thirty thousand seven hundred sixty-nine hundred-thousandths

Step-by-step explanation:

Answer:

one and thirty hundredths

Step-by-step explanation:

One would be 1, the and would stand for the decimal points, and thirty hundredths means the .30.

Answer:

72 pieces

Step-by-step explanation:

since 1/8 pieces would mean 8 per pie then

8*9 = 72

So 72 pieces

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

Given:

The system of equations:

\(x-3y=9\)

\(\dfrac{1}{5}x-2y=-1\)

To find:

The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.

Solution:

We have,

\(x-3y=9\)                        ...(i)

\(\dfrac{1}{5}x-2y=-1\)       ...(ii)

The coefficient of x in (i) and (ii) are 1 and \(\dfrac{1}{5}\) respectively.

To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.

It means, we have to convert \(\dfrac{1}{5}\) into -1. It is possible if we multiply the equation (ii) by -5.

On multiplying equation (ii) by -5, we get

\(-x+10y=5\)       ...(iii)

On adding (i) and (iii), we get

\(7y=14\)

Here, x is eliminated.

Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.

Note that the probabilities are given below.

a) the probability of a randomly selected catch being a mouse caught by Cyd

p(Catching a mount) x p(Cyd made the catch)

= 0.5x .2

= 0.1

b) the   probability of a bird not caught by Cyd is 0.5 x 0.8 = 0.4.

Thus

P(that a catch is a bird) x p(the Cyd didn't make the catch)

= 0.3 x 0.8

=0.24

c) The probability of a randomly selected catch being caught by Greg is 0.45

To calculate, we say

(0.5   x0.45) + (0.3 x 0.45) + (0.2 x .45)

= 0.45.

d)

P (mouse caught by Greg) = (0.45 x 0.5) / 1

= 0.225.

e) P(catch is a mouse caught by Ken and catch is a mouse)

= P(catch is a mouse | catch is made by Ken) x P(catch is made by Ken)

= 0.05 x 0.1

= 0.005

f)

P (catch made by Cyd | catch is a mouse)

= 0.1    x 0.2 / 0.5

= 0.04

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a)

Gain on disposal=$12,900

b)

Loss on disposal=$5,900

Prepare a tabular summary to show the cost of equipment disposed of, the accumulated depreciation, and gain or loss recorded on disposal?

Note that initially when the equipment was purchased, it would be debited to an asset account, whereas, it would be credited upon disposal since the company no longer owns it.

The accumulated depreciation was originally a credit entry in the balance sheet and needs to be debited now that the equipment has been sold.

Note that the excess of the sum of the accumulated depreciation and the cash received over the initial cost of the equipment is a gain and the reverse means a loss was recorded on disposal.

Account                                DR                  CR

Asset                     $49,600

Gain on disposal      $12,900

Accumulated depreciation                               $24,600  

Cash received                                              $37,900  

gain on disposal=$24,600+$37,900-$49,600

gain on disposal=$12,900

Account                                 DR                    CR

Asset                                                           $49,600

Accumulated depreciation   $24,600  

Cash received                         $19,100  

Loss on disposal                     $5,900  

Loss on disposal=$49,600-$24600-$19,100

Loss on disposal=$5,900

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Answer:

less then 70%

Step-by-step explanation:

not alot of people can recover under 10 days

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

x = 180 - 50 - 86 = 44°

Answer:

2.6

Step-by-step explanation:

627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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Answer:

¼ cup of flour

Step-by-step explanation:

½ of ½ cup = ½×½ cup = ¼ cup

Answer:

1/4 cup of flour

Step-by-step explanation:

If you are doing half the recipe, and the recipe calls for 1/4 cup of flour, you divide the recipe (And portions), in two. So, half of 1/2 is 1/4,

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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The conclusion is option A, we cannot reject the null hypothesis.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

The null hypothesis cannot  be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.

Therefore, we can not reject the hypothesis.

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Answer:

<1 = 40

Step-by-step explanation:

Angle Formed by Two Chords  =1/2(sum of intercepted arcs)

<1 = <2  because  they are vertical angles

<1 = 1/2( 50+30)

<1 = 1/2 (80)

<1 = 40

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

Change in temperature = -9 degrees

Step-by-step explanation:

Given

\(Start Temperature = 10 deg\)

\(Change = 3 deg/hr\)

\(Time= 3hr\)

Required

Change in temperature;

First, the total change in 3 hours has to be solved for. This is done as follows:

\(Total Change = Change* Time\)

\(Total Change = 3 deg/hr * 3 hr\)

\(Total Change = 9 deg\)

From the question, we understand that the temperature dropped.

So,  we can conclude that the temperature changed by -9 degrees;

This means that at the end of the third hour is temperature is 1 degrees

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Given: cost of CAYMAN sleep couch with VAT is R2 699

cost without VAT is R1 999

2.1  To calculate the original price of the couch excluding VAT, we can use the following formula:

Price including VAT / 1 + (VAT rate / 100) = Price excluding VAT

In this case, the VAT rate is 15% (since it is included in the original price), so the formula is:

R2,699 / 1 + (15 / 100) = R2,346.96

2.2  To calculate the expected price of the couch including VAT at the sale price, we can use the following formula:

Price excluding VAT * (1 + (VAT rate / 100)) = Price including VAT

In this case, the VAT rate is still 15% and the sale price is R1,999 (excluding VAT), so the formula is:

R1,999 * (1 + (15 / 100)) = R2,299

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

12

Step-by-step explanation:

14/7 = 2

So, 6 x 2 = 12.

Answer:

p =12

Step-by-step explanation:

6:7

The second number is 14  so 14/7 =2

Multiply each part by 2

2*6 : 2*7

12 : 14

p =12