A baby weighed 7.5 pounds at birth. At the end of 11 months, the baby weighed 2 times its birth weight. How many pounds did the baby weigh at the end of 11 months?​

Answer:

common ratio is 2/5

First term is  125/2

The sum of the first n terms is: [tex]S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{3/5}[/tex]

The infinite sum is: [tex]S_\infty =\frac{625}{6}[/tex]

Step-by-step explanation:

The 4th term is 4, and the seventh term is 32/125 so we use the definition of nth term of a geometric sequence to create the following two equations:

[tex]a_4=a_1\,*\,r^{4-1} = a_1\,*\,r^3\\4=a_1\,*\,r^3\\and\\a_7=a_1\,*\,r^{7-1} = a_1\,*\,r^6\\\frac{32}{125} = a_1\,*\,r^6[/tex]

Now we divide a7 by a4 to get rid of a1 and work on determining the common ratio of the sequence:

[tex]\frac{a_7}{a_4} =\frac{8}{125} =\frac{a_1\,r^6}{a_1\,r^3} =r^3\\then\\r=\sqrt[3]{\frac{8}{125} } =\frac{2}{5}[/tex]

So, the common ratio is 2/5

we can now determine the first term:

[tex]a_4=4=a_1\,*\,(2/5)^3\\a_1=\frac{125*4}{8} =\frac{125}{2}[/tex]

The sum of the first n terms is given by the formula:

[tex]S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{1-(2/5)} \\S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{3/5}[/tex]

and therefore, the infinite sum is:

[tex]S_\infty = a_1\,\frac{1}{1-r} = \frac{125}{2} \,\frac{5}{3} =\frac{625}{6}[/tex]

Answer:

x ≥ 60

Step-by-step explanation:

greater than or equal to 60

Answer:

40       7.5 Km in 10 minutes

Step-by-step explanation:

Step-by-step explanation:

Part A

-2 -2+7=y y= +5 y=5

-1 -1+7=y y= 6

0 0+7=y y= 7

1 1+7=y y=8

2 2+7=y y=9

Answer:

58 miles per hour

Step-by-step explanation:

Given that :

Miles traveled after 2 hours = 128 miles

Miles traveled After 3.5 hours = 203 miles

Average rate of change in miles per hour :

Total miles driven / total time taken

The average rate of change in miles per hour :

203 miles / 3.5 hours

58 miles per hour

Answer:

9x^4-36x^3-27x^2

Step-by-step explanation:

assuming those are exponents

Answer:

9x^4 - 36x^3 - 27x^2

Step-by-step explanation:

9x(x^3 - 4x^2 - 3x)

Multiply 9x to each of the terms in the parentheses:

9x^4 - 36x^3 - 27x^2

Answer:

26183

Step-by-step explanation:

Given that,

The population of the city of Gary is 75,282. 34.78% of Gary residents have a higher education degree.

We need to find the no of people in Gary have a higher education degree. It can be simply calcualted by taking 34.78% of 75,282 as follows :

[tex]P=75282\times 34.78\%\\\\ =75282\times \dfrac{34.78}{100}\\\\=26183.07[/tex]

or

P = 26183

So, there are 26183 people in Gary have a higher education degree.

Answer:

Not sure what you are looking for but... I believe the answer is $2.92

Step-by-step explanation:

240 fingers I think

48 ears

24 tougues

Brainliest?

Answer:

m < 2 = 36

m < 3 = 148

Step-by-step explanation:

180 - 148 = 32

The measure of <2=32 and <3=148

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Given:

m<5 = 148

As, by alternate interior angle

m<5 = m<3

So, m<3 = 148

Also, <2 and <3 forms a linear pair.

So,

m<2 + M<3 = 180

148 + m<2 = 180

m<2 = 32

Hence, the measure of <2 = 32 and <3 = 148.

Learn more about parallel lines here:

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Answer:

Lower

Step-by-step explanation:

Use the number 100 to see how the value changes:

First, calculate the 60% drop:

100(0.4)

= 40

Then, calculate the 75% increase:

40(1.75)

= 70

So, since 70 is smaller than 100, the value is lower than where it started.

Answer:

0

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/(x2-x1)  where ( x1,y1) and ( x2,y2) are points on the line

m = ( -2 - -2)/(8 - 2)

    = ( -2 +2) / ( 8-2)

    = 0/6

   =0

The slope is 0

Answer:

ab +c=d

Step-by-step explanation:

just took the test

Answer:

If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion

Answer:

B) 450

Step-by-step explanation:

You use the greater amount minus the lesser amount, times 30 minutes.

55-40=15

15 x 30=150

Hope I helped!

Answer:  1.  [tex]\frac{19}{18}=n[/tex]

               2.  x=4

Step-by-step explanation:

[tex]\frac{11}{6}-\frac{7}{9}=n[/tex] First, you have to subtract [tex]\frac{7}{9}[/tex] from both sides to have n by its self.

[tex]\frac{33}{18}-\frac{14}{18}=n[/tex] Then find the common denominator. And subtract it

[tex]\frac{19}{18}=n[/tex]

6.2-2.2=x Subtract 2.2 from both sides to have x by its self.

4=x

Answer:

[tex]54-9v[/tex]

Step-by-step explanation:

To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.

[tex]9(6-v) = 9(6) +9(-v)[/tex]

[tex]=54-9v[/tex]

Hope this helps :)

Answer:

Simple interest is calculated on the principal, or original, amount of a loan. Compound interest is calculated on the principal amount and also on the accumulated interest of previous periods, and can thus be regarded as "interest on interest."

Answer:

MaReeco performed an inacceptable move.

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

5x - 3 = 5

Step 2: Solve for x

We need to add 3 to both sides of the equation to isolate the x term and to equalize the equation.

Answer:

7 times 5x

Step-by-step explanation:

4 plus x and x has value

Answer:

one could be (7*x) (7*4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2-9x=-2  move the -2 over and set to 0

x^2-9x+2=0  

This can not be factored, so use the quadratic formula.

x=9±√73 /2

Answer:

x = 9 + sqrt(73) / 2

x = 9 - sqrt(73) / 2

Step-by-step explanation:

Assuming you want to factor and find its roots:

[Put all the terms in the left hand size]

x^2-9x+2=0

[Use the quadratic formula; Not factorable and too tedious for completing the square]

x = -b +- sqrt(b^2-4ac) / 2a

x = 9 + sqrt(9^2 - 4(1)(2)) / 2(1)

x = 9 - sqrt(9^2 - 4(1)(2)) / 2(1)

x = 9 + sqrt(73) / 2

x = 9 - sqrt(73) / 2

Answer: z=mn/m–n.

Step-by-step explanation: solve the rational equations by combining the expressions and isolating the variable of Z.

Answer:

Option 3: 14 is the correct answer.

Step-by-step explanation:

Slope is denoted by m and is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

(x1,y1) are the coordinates of first point and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (3, -20) and

(x2,y2) = (5,8)

Putting the values in the formula, we get

[tex]m = \frac{8-(-20)}{5-3}\\m = \frac{8+20}{2}\\m = \frac{28}{2}\\m = 14[/tex]

The slope of line passing through points (3, -20) and (5,8) is 14.

Hence,

Option 3: 14 is the correct answer.

Answer:

f(x + 3) = x² + 3x - 2

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

f(x) = x² - 3x - 2

f(x + 3) is x = x + 3

Step 2: Find

The expenses with the given profit and revenue is $47,000. Therefore, option C is the correct answer.

Given that, the profit is $3,000 and the revenue is $50,000.

The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.

Here, Profit = Revenue - Expenses

3000 = 50000 - Expenses

⇒ Expenses = 50000-3000

= 47000

The expenses with the given profit and revenue is $47,000. Therefore, option C is the correct answer.

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Answer: b and d are it

Answer: 2 and 4

2-Opposite sides are parallel.

4-Alternate interior angles are congruent.

Answer:

20/9 or 2.2

Step-by-step explanation:

1. 1 1/3 ÷ 3/5

2. 4/3 x 5/3

Answer = 20/9