Two babies Carter and Alyssa were born on the same day. Carter was born nine days before his due date. If Alyssa was born two weeks after Carter how many days past her due date was she born?

Answer:

54 inches = 4.5 feet.

Step-by-step explanation:

The range of the given function is: (500, ∞).

The collection of potential output values for a function is known as its range.

Now,

Given:

Let 't' be the number of months. Then, the function C(t) can be calculated as:

C(t) = 500 + 60t

For range:

The minimum value will be when t = 0, i.e., when no charge has been charged by for each month.

Thus, C(0) = 500 + 60(0)

=> C(0) = 500

The maximum value will be when t = ∞, i.e., for infinite number of months.

=> C(∞) = 500 + 60(∞)

=> C(∞) = 500 + ∞

=> C(∞) = ∞

Thus, the range of the function will be: (500, ∞).

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[tex]a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360[/tex]

Answer:

The second one is a function.

Step-by-step explanation:

The other 3 have one-to-many mappings.

For example the first relation has  1 mapping to 2, 3, 4 and 5.

We get that the domain will be {-7, 2, 5}.

We are given a transformation function:

f ( x , y ) = ( x + 5 , y - 8 )

Also, we are given the points in this transformation function as:

(10, 8), (-2, 7) and (7, 9)

Now, we have to find the point that lies in the domain of the function.

We have:

x + 5

Also, the values of x + 5  are given as 10, -2 and 7.

For (10, 8)

x + 5 = 10

x = 10 - 5

x = 5

For (-2, 7)  

x + 5 = -2

x = - 2 - 5

x = - 7

For (7, 9)

x + 5 = 7

x = 7 - 5

x = 2

So, domain is {-7, 2, 5}.

Therefore, we get that the domain will be {-7, 2, 5}.

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The population of the country in 2001 to the nearest hundredth of a million is 24.31 million

If the population grows by 6.5% every year, the population grows at a compound rate. The equation that can be used to determine the population in 2001 would be an exponential equation. The equation that can be used to represent an exponential equation is: a = [tex]mx^{b}[/tex]

When a population grows at a compound rate, it means that both the existing population and the increase in the population increase by 6.5 every year.

The equation that can be used to determine the population of Tacoma in 2017 is:

P =  FV / (1 + r)^n

Where:

33.3 / ( 1 + 0.065)^5

33.3 / (1.065^5) = 24.30503 million

In order to round 24.30503 million to the nearest hundredth , look at the thousandth figure, if it is greater or equal to 5, add one to the hundredth digit and change the thousandth digit to 0. So,  24.30503 million becomes  24.31 million

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Answer:

(5,-1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Starting at -8 you subtract three, meaning you go three numbers lower which would be -11.

Answer:can you right It all together?

Step-by-step explanation:

1) 1,3,4,7 dataset has the highest variance.

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

to find the variance,

first step is to calculate the mean Next, take each data point and square the difference after subtracting the mean. All values' squared differences are added. Next, divide the total by the number of data points. this is the process to get the variance.

a) now given that a. 7, 8, 9, 10

[tex]mean = \frac{sum \: of \: al l\:data \: points \: }{ total \: number \: of \: data\: points \: } [/tex]

[tex]mean = \frac{(7 +8 + 9 + 10) }{4} [/tex]

mean = 8.5

now, take each data point and square the difference after subtracting the mean.

[tex](7 - 8.5) {}^{2} = 2.25 \\ (8 - 8.5) {}^{2} = 0.25 \\ (9 - 8.5) {}^{2} = 0.25 \\ (10 - 8.5) {}^{2} = 2.25[/tex]

All values' squared differences are added.

2.25+0.25+0.25+2.25=5

Next, divide the total by the number of data points.

5/4 = 1.25

Hence the variance of 7,8,9,10 is 1.25

b) given that 1,3,4,7

mean = 3.75

variance = 18.75/4 = 4.68.

Hence the variance of 1,3,4,7 is 4.68

c) given that 4,2,1,0

mean= 1.75

variance= 2.1875

Hence the variance of 4,2,1,0 is 2.1875

D) given that 1,0,2,4

mean= 1.75

variance= 2.1875

Hence the variance of 1,0,2,4 is 2.1875

Therefore 1,3,4,7 dataset has the highest variance.

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Answer:

f = j - 207

Step-by-step explanation:

j decreased by 207 means j - 207

so,

f = j - 207

Answer:j-207

Step-by-step explanation:

I'm assuming you meant if j decreased by 207

The relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.

In this case, the weight of a potato is given as 3.441g.

It should be noted that the first 4 is in the tenth place and is written as 0.4.

On the other hand, the second 4 is in the hundredth place. The value is 0.04.

Therefore, the relationship between the numbers will be:

= 1/10 × 1/10 = 1/100

Therefore, the relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.

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The weight of a potato is given as 3.441g. Ehat is the relationship between the values of the two 4s in the weight of the potatoes?

Answer:

The top one i believe

Step-by-step explanation:

A function rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g is given by: d = 20g

A proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a rule that relates the total distance (d) which a car can travel as a function of the number of gallons (g) of gas in its tank:

d = 20g

Where:

In conclusion, the total distance (d) traveled by most cars is directly proportional to the number of gallons (g) of gas in their tank at a constant rate of 20 miles per gallon of gas.

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Answer:

Rotterdam

Step-by-step explanation:

0 is sea level and anything above 0 is above sea leavel and anything below is below sea level

Hope this help

Answer:

4 chapters

Step-by-step explanation:

16x4=64

Answer:

Cohesion and Adhesion. The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.

Step-by-step explanation:

Cohesion: the water molecules attract each other and are responsible for the surface tension of water.

Adhesion: the water molecule is also able to attract other non-water molecules. This allows water to be able to ‘cling’ to the sides of a capillary tube.

The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.

please let me know if you need a deeper/ more complex explanation, i am always happy to help :)

Answer: you can minus it

Step-by-step explanation:

676 3/5

-68 3/5

=606 0/0

the 0/0 can be left aswell

The inequality representation can be expressed as: -4 < x < 5

An inequality is a mathematical connection that exists between two expressions and may be expressed by one of the following:

From the given expression, the conversion of °C to F is estimated by using the formula:

(°C × 9/5) + 32

For  -20°C , we have:

= (-20°C × 9/5) + 32

= -4 F

For -15°C, we have:

= (-15°C × 9/5) + 32

= 5 F

Therefore, this can be represented in inequality form as: -4 < x < 5.

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Your question was incomplete. Please refer the content below:

If 6 bales are needed to feed 40 head of cattle, how many bales are needed to feed 50 head of cattle?

By using unitary method, we get that 7.5 bales are need to feed the 50 heads of cattle.

We are given that:

6 bales are need to feed the 40 heads of cattle.

We need to find out that how many bales will be needed to feed the 50 heads of cattle.

Here, we will be using the unitary method.

So, 40 heads need = 6 bales

1 head needs = 6/40 bales

1 head needs = 3 / 20 bales.

So, 50 heads will need:

50 heads will need = 3 / 20 × 50 bales

50 heads will need = 3 / 2 × 5 bales

50 heads will need = 7.5 bales.

Therefore, by using unitary method, we get that 7.5 bales are need to feed the 50 heads of cattle.

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The average breaths taken per minute by the fish is 22.53. This is obtained using the previous knowledge of average.

What do you mean by average?

An average is a single number that is used to represent an entire group of things. Averages are calculated by dividing the sum of all values by the total number of values.

Calculation of average number of breaths taken by a fish per minute

Given:

Breaths in 1 minute are 65

Breaths in 2 minutes are 73

Breaths in 3 minutes are 67

Breaths in 4 minutes are 71

Breaths in 5 minutes are 62

Total breaths = 65 + 73 + 67 + 71 + 62

= 338

Total time taken = 1 + 2 + 3 + 4 +5

= 15 minutes

The average number of breaths = total breaths / total time taken

= 338 / 15

= 22.53 breaths per minute

Hence, the average breaths taken per minute by the fish is 22.53.

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The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.

It follows from the task content that the degree of the polynomial in discuss is to be determined as required in the task content.

First, it is noteworthy to know that the degree of a polynomial is the greatest power of a variable present in the polynomial.

On this note, it follows that the degree of the function in this scenario is; 8.

Ultimately, The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.

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A coin toss determines the first possession of each NFL game.  This process deterministic not random event because the initial coin flip only determines whether a team receives the ball now at start of the first or third quarter.

Possession in football refers to a team keeping possession of the ball for as longer as possible in order to create opportunities for goals and prevent this same opposition from posing a threat to the team's goal.

Some key features regarding the first possession in NFL game are-

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Answer:

Inequality:

8in > x - 5in

Solution:

x < 13in

Step-by-step explanation:

If the length 8in is is bigger than the width (x - 5in) then we just need to write it:

8in > x - 5in

To solve for x, we need to move everything but x to the other side

8in > x - 5in

13in > x

Answe46 points scored

Step-by-step explanation:

Answer:

r^3+4m

Step-by-step explanation:

Answer:

8 and 4

Step-by-step explanation:

Answer:

8+4

Step-by-step explanation:

8-4 is equal to 4 and 4+8 is equal to 12