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It will take Thomas 40 months to empty the account if he continues to take out $400 each month of $16,000.

To find out how many months it will take for Thomas to empty the account, we need to set M to 0 and solve for t. This will give us the number of months it will take for Thomas to spend all of the $16,000 he won on the game show. The equation we need to solve is:
0 = 16000 - 400t

First, we'll isolate the variable t on one side of the equation by adding 400t to both sides:
400t = 1600

Next, we'll divide both sides of the equation by 400 to get the value of t:
t = 16000/400

Simplifying the right side of the equation gives us:
t = 40

So, it will take Thomas 40 months to empty the account if he continues to take out $400 each month for spending money.

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Answer:

Below

Step-by-step explanation:

     Since :   .35 x = 28       Given    ( where x = total sweets)

x = 80 sweets total

28 are red ( given )   then  02.  * 80 = green = 16

80 - 28 - 16 = 36 remaining

                                     and are divided between  pink : white in ratio of 2:1

                                   pink are 2 out of (2+1) = 2/3

                                             2/3 * 36 remaining = 24 pink

                                                    then 12 are white

The conversion of 5 mcg (micrograms) to mg (milligrams) is 0.005 mg.

This is because there are 1,000 micrograms in 1 milligram which is the conversion factor. Therefore, to convert micrograms to milligrams, you would divide the number of micrograms by 1,000.

Here is the step-by-step explanation for this conversion:

1. Start with the number of micrograms: 5 mcg
2. Divide the number of micrograms by 1,000 to convert to milligrams: 5 mcg / 1,000 = 0.005 mg
3. The result is the number of milligrams: 0.005 mg

So, 5 mcg is equal to 0.005 mg.

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The coordinates of the point is Q ( 22 , -24 )

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Measure the distance between the two end points, and divide by 2.

Let A ( x₁ , y₁ ) be the first point

Let B ( x₂ , y₂ ) be the second point

The midpoint between A and B is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

Given data ,

Let the first point be represented as P ( -2 , 8 )

Let the second point be represented as Q ( x , y )

Now , the midpoint of P and Q is M ( 10 , -8 )

where , midpoint between P and Q is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

Substituting the values in the equation , we get

10 = ( -2 + x ) / 2

Multiply by 2 on both sides of the equation , we get

-2 + x = 20

Adding 2 on both sides of the equation , we get

x = 22

And ,

-8 = ( 8 + y ) / 2

Multiply by 2 on both sides of the equation , we get

y + 8 = -16

Subtracting 8 on both sides of the equation , we get

y = -24

Hence , the coordinates of the point Q is Q ( 22 , -24 )

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The boolean expression that is true if the value of x is equal to zero is:

x == 0

Let's us first learn about Boolean expression.

A boolean expression is an expression that evaluates to either true or false. It can be created using comparison operators, such as == (equal to), != (not equal to), < (less than), > (greater than), <= (less than or equal to), and >= (greater than or equal to). These operators compare two values and return a boolean result.

In this question, the double equal sign (==) is the comparison operator for equality in many programming languages, and it returns true if the values on both sides are equal, and false otherwise.

So in this case, the expression "x == 0" would return true if x is equal to zero, and false otherwise.

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The prime factorization of P is given as follows:

C. 2³ x 3² x 7.

The number P in this problem is defined as follows:

P = 14 x 36.

Hence we must obtain the prime factorization of each number in this problem, as follows:

Then the prime factorization of the multiplication is given as follows:

14 x 36 = 2 x 7 x 2² x 3² = 2³ x 3² x 7.

Meaning that the correct option is given by option C.

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Step-by-step explanation:

I want to say Marisella. Here's my argument.

5 seats in the front row, so 5/20. Before the first person enters, 5 seats are open making it 5/20.

Once the first person sits.. now there are 4 spots in the front and only 19 total seats left, making it 4/19

Python formats all floating point numbers to two decimal places when outputting using the print statement. (FALSE)

The if statement causes one or more statements to execute only when a Boolean expression is true. ( TRUE)

Floating point  is a number format that can be used to represent a large or small value.

In writing this number is done by writing it in exponential form, so that the number has a base number, the exponential number and the base number.

The following is writing scientific notation in floating point. example in decimal numbers

261,000,000,000 written 2.61 x 10¹¹

0.000000000261 is written 2.61 x 10^-10

The Floating point representation itself has two parts, namely the mantissa part and the exponent part. The mantissa determines the digits, while the exponent determines the value of how many powers the mantissa is, as follows:

±S * B±E

S = Significant also called mantissa

E = Exponent

B  = Base

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An equation that models the birth rate as a function of the number years since 1960 is y = -0.3x + 35. Thus, option 3 is correct.

It represents a relationship between variables and constants and is used to describe the behavior of a function or system. Equations can be linear or nonlinear and can have one or multiple variables. They can be used to solve real-world problems, such as finding the slope of a line, calculating distances, or determining the minimum or maximum value of a function. Equations are also used in advanced mathematical disciplines, such as calculus, algebra, and geometry.

When x = 0, y-intercept = 35.4 ≈ 35

And when x increases, the value of y decreases, so slope is negative

From the given options

There is only two negative slope equation but only one with y-intercept = 35. i.e.

y = -0.3x + 35

Thus, An equation that models the birth rate as a function of the number years since 1960 is y = -0.3x + 35.

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1. Adjacent angles and  1 degree is missing angle.

3. Complementary angles are  missing angle is 177 degrees.

4. Adjacent angles and missing angle is 10 degrees.

5. Adjacent angles and missing angle is 104 degrees.

6. Adjacent angles and missing angle is 10 degrees.

6. Vertical angles and missing angle is 57 degrees.

an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

1. The angles are Adjacent

54+10x+16=180

10x=180-70

x=1

So the unknown angle is 10+16=26 degrees.

3. The angles are complementary

22+4x=90

4x=68

Divide both sides by 4

x=17

So, the angle is 4(17)=68 degrees

4. The angles are Adjacent

110+7x=180

7x=70

x=10,  the other angle is 7(10)=70 degrees

5. The angles are Adjacent

72+x+4=180

x=104

The other angle is 104+4=108 degrees.

6.  92+x+78=180

x=10

The unknown angle is 10 degrees.

7. The angles are vertical.

72=x+15

x=57 degrees.

Hence,  

1. The angles are Adjacent and missing angle is 1 degrees.

3. The angles are complementary and missing angle is 177 degrees.

4. The angles are Adjacent and missing angle is 10 degrees.

5. The angles are Adjacent and missing angle is 104 degrees.

6. The angles are Adjacent and missing angle is 10 degrees.

6. The angles are Vertical and missing angle is 57 degrees.

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Answer:

Rounding to the nearest cent implies approximating a money amount to two decimals (which represent the number of cents), applying the following rules: If the third decimal digit is lower than 5, we leave the second decimal digit as it is. E.g., $4.563 ≈ $4.56.

Answer: D, 9.4

Step-by-step explanation:

(pi*2*12) *45/360 = 9.4

Answer:

9.4 is correct

Step-by-step explanation:

C=2πr = 2x3.14x12=75.36

arc AB=(45/360)x75.36=9.42

The sector area is equal to: B. 54π yd².

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θr²/2

Where:

Substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = θr²/2

Area of sector = 240(π/180) × (9)²/2

Area of sector = 120(π/180) × 81

Area of sector = 54π yd².

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The number of workers in the company is given as follows:

3900 workers.

The number of workers in the company is obtained applying the proportions in the context of the problem.

From the problem, we have that:

Hence 30% of the workers is equivalent to 1170, hence the number of workers in the company is obtained as follows:

0.3x = 1170

x = 1170/0.3

x = 3900 workers.

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The amount of money you'll have at the end of 5 years is $4,060.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 3,500 × 3.2/100 × 5

S.I = 3,500 × 0.03.2 × 5

S.I = $560.

Next, we would calculate the future value as follows;

Future value, A = S.I + P

Future value, A = $560 + $3,500

Future value, A = $4,060.

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The weight of the bear after hibernation is 673.2 pounds

percentage, a relative value indicating hundredth parts of any quantity.

Given that Before hibernation, a bear weighs 990 pounds.

Its weight decreases by 32% during hibernation.

We need to find how much the bear weigh when it comes out of hibernation.

Lets find what is 32% of 990

32/100×990

0.32×990

316.8

Now let us subtract 316.8 from 990 pounds, to find the weight after hibernation.

990-316.8

673.2

Hence, 673.2 pounds is the weight of the bear after hibernation.

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The perimeter first figure that is made of a square and equilateral triangle is 52 cm.

What exactly are squares?

A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.

A square's most significant qualities are

The diagonal of a square is divided into two isosceles triangles.

Square area=(side)²

Square perimeter=4*side

Now,

For first figure given that

sides of square are 14 cm in length

and length of side of equilateral triangle are=5 cm

but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.

So, perimeter=3*14+2*5

=42+10

=52 cm

hence,

         The perimeter first figure 52 cm.

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The intervals on which the function is increasing is (0, 1). Option D

A polynomial is a type of mathematical expression that has variables that are raised to whole number powers.

Since the factors of 5 are 1 and 5, we'll try to factor the polynomial by assuming that (x-1) and (x-5) are factors.

The product of (x-1) and (x-5) is (x² - 6x + 5), which is the polynomial we're given.

⇒ (x² - 6x + 5) is the factored form of the polynomial.

A polynomial is increasing on the intervals where it's greater than zero. So we just need to look at the sign of (x² - 6x + 5) for values between 1 and 5.

For values between 1 and 5, the function is always positive, so it's increasing on the interval (1, 5). Therefore, the increasing interval is (1, 5).

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The VAT percentage of a mobile price is tagged Rs 5,000 with a 12% discount and adding a certain percentage of VAT reaches Rs 4,972 is a 13% VAT Percentage.

The solution to the problem is as follows:
Step 1: Find the price of the mobile after the discount. The discount is 12% of the original price, which is Rs 5,000. So, the discount amount is:
12% of Rs 5,000 = (12/100) * 5000 = Rs 600

Step 2: Subtract the discount amount from the original price to get the price after the discount:
Rs 5,000 - Rs 600 = Rs 4,400

Step 3: Now, we need to find the VAT percentage that was added to the price after the discount to get the final price of Rs 4,972. Let the VAT percentage be x%. Then the equation is:
Rs 4,400 + x% of Rs 4,400 = Rs 4,972

Step 4: Simplify the equation and solve for x:
4400 + (x/100) * 4400 = 4972
4400 + 44x = 4972
44x = 4972 - 4400
44x = 572
x = 572/44
x = 13

Therefore, the VAT percentage is 13%.

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The percentage of 322 out of 450 using the percentage formula was found out to be approximately 71.56%.

To find the percentage of 322 out of 450, we can use the following formula:

percentage = (part/whole) x 100

where, "part" is the value we want to express as a percentage (in this case, 322), "whole" is the total value (in this case, 450), and "x" means "multiply".

Using the formula mentioned above, we get:

percentage = (322/450) x 100

percentage = 0.7156 x 100

percentage = 71.56%

Therefore, percentage of 322 out of 450 is approximately 71.56%.

A percentage is a way to express a number as a fraction of 100. It is often denoted using the "%" symbol.

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Answer:

(4,4)

By using a graphing we can see that the lines intersect at (4,4).

therefore, 4 is the solution

don't forget to say thanks

The item reached its highest point at 78.4 meters by quadratic form of equation.

Suppose a quadratic form of equation has the following form

y=a[tex](x-h)^2[/tex] + k

Once in vertex form, it is said to be. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)

Using the data shown above, we can determine that

-4.9[tex]t^2[/tex] + 19.6 t + 58.8 = 0

The equation will naturally be converted to vertex form after the square is finished:

where h is the amount of time needed to reach a height of k.

Next, square the half of the linear term and add it to both sides.

-4.9([tex]t^2[/tex]-4t)=-58.8

-4.9([tex]t^2[/tex]-4t+4)=-58.8-19.6

-4.9([tex](t-2)^2[/tex])=-78.4

s(t)=-4.9([tex](t-2)^2[/tex])+78.4

As can be seen, the vertex is (2,78.4).

The maximum height is 78.4m.

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Question: An object is launched at 19.6 meters per second from a 58.8 meter tall platform. The equation for the object's height s at time t seconds after launch is s(t)=−4.9[tex]t^2[/tex]+19.6t+58.8. What is the maximum height of the object?

She have 1 hour 17 minutes remaining for the second section.

what is total time ?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

Given:

Total time : two hours

Time taken to complete the first section =  forty-three minutes

Now , minutes she have remaining on the second section

= Total time - Time taken to complete the first section

= 2 hours - 43 minutes

= 1 hour 17 minutes

Hence , she have 1 hour 17 minutes remaining for the second section.

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The largest angle for which it would be appropriate to use the small angle approximation for cosine is 15 degrees

We know that basic trigonometric identities are the primary trigonometric ratios of sine, cosine, and tangent that are defined in a right triangle but at the same time these ratios have numerous applications, but their most important application is finding unknown sides and angles in a right triangle.

Small Angle approximation can be said to be the approximation that can be used to find a more simplified formula for each of the three primary ratios. This process is called a small-angle approximation or applying the small-angle approximation theorem.

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Minda must view 76 movies to make Movie Prime the better deal

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of movies be 'x' and from the given information the two equations can be formed as,

5.95x and 150 + 3.95x.

And  to make Movie Prime the better deal,

150 + 3.95x < 5.95x.

2x > 150.

x > 75.

So, Minda must watch greater than 75 movies.

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Answer: step 1:

wickets 2 and 9, (16,18) and (15,43) = 25.02ft

wickets 9 and 8, (15, 43) and (37,65) = 31.11 ft

wickets 8 and 5, (37, 65) and (63,39) = 36.7 ft

wickets 5 and 3, (63, 39) and (41, 17) = 31.11 ft

wickets 3 and 2, (41, 17) and (16, 18) = 25.02 ft

Answer:

A

I believe because p→q

q→p

The number of penguins at the zoo is 48.

Percentage is a measure of frequency that determines the value of a number as an amount out of hundred. The sign that is used to represent percentage is %. In order to convert a number to percentage, multiply by 100.

Number of penguins = percentage of penguins x number of birds

50% x 96

(50/100) x 96 =

0.5 x 96 = 48

Here is the complete question:

There are 96 birds at the Parkdale Zoo. 50% of the birds are penguins. How many penguins are at Parkdale Zoo?​

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Answer:z=4663/586

Step-by-step explanation:

Answer:

40m deep = 500 kPa.

+10m deep = +100 kPa

50m deep = 600 kPa

60m deep = 700 kPa

( It never stops ! )

Explantion:

The depth affects the entire water pressure, not the other way around, and thus the depth is a independant variable and the water pressure is most likely a dependant variable.

Fact:

100 kPa every 10 meters, or 10 kPa per meter.

0m deep = 100 kPa. Add 10 kPa for every meter. ( and so on )

kPa = 100 + (10x the depth in meters)

Using the variables given, p = 10d + 100.