Look at the first Model It on the previous page. Why do you double 8 to find theamount of money Julie will have on Day 4?.

Answers

Answer 1
Answer:

Answer:

Doubling a number means multiplying it by 2. If there is a pattern or rule that suggests doubling is necessary, it could be based on a specific mathematical relationship or calculation.

Step-by-step explanation:

For example, if there is a consistent pattern of doubling in a mathematical sequence, it could indicate exponential growth or a specific mathematical operation being applied. In some scenarios, doubling may be necessary to account for the accumulation or growth of a value over time.

It is important to note that without the specific context or information provided on the previous page, it is difficult to give a definitive explanation for why 8 is being doubled to find Julie's money on Day 4.


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PLEASE HELP. What is the equation of the circle in standard form where the center is (-16,-14) and another point on the circle is (-8,-8)

How do you write 6/9 two different ways

Answers

Answer:

(2)/(3) and (12)/(18)

Step-by-step explanation:

we need to write the fraction (6)/(9) in two different ways.

we write two equivalent fraction for the given fraction

Divide the given fraction by 3 on both sides top and bottom

(6)/(9)=(2)/(3)

To get another equivalent fraction , multiply the given fraction by any number at the top and bottom. Multiply the fraction by 2

(6 \cdot 2)/(9 \cdot 2)=(12)/(18)

To fractions are (2)/(3) and (12)/(18)

you could write it 6÷9 or 2/3

The school you want to go to has an acceptance rate of 12%. That means that 12% of the students who apply to the school get in. The school took in 2,400 students last year. How many students applied?

Answers

Answer:

The total number of students who have applied for the admissions in the school last year = 20000  

Step-by-step explanation:

The school you want to go to has an acceptance rate of 12%.

⇒ 12% of the students who apply to the school get in

Now, Total number of students that are being selected = 2400

We need to find the total number of students those who have applied for the admission

Let the number of students who have applied for the admission be x

Now, using the condition given in the problem, we have :

12% of x = 2400

⇒ 0.12 × x = 240

⇒ x = 20000

Thus, The total number of students who have applied for the admissions in the school last year = 20000

The answer is 20,000.

2,400 Divided by .12 equals 20,000.

2,400 / .12 = 20,000.

A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?

Answers

Answer:

A_f=11~inches

Step-by-step explanation:

Area of a Rectangle

A rectangle of width W and height H has an area of:

A = W.H

We have one rectangle inside another. The first rectangle corresponds to the frame and its contents. The second rectangle corresponds to the photograph.

The area of the frame without its contents is the difference between both areas:

A_f = A_e-A_i

Where Ae is the external area of the frame, and Ai is the internal frame of the photograph.

The frame has W=4 inches and L=6.5 inches, thus:

A_e=4~inches*6.5~inches

A_e=26~inches

The photograph has W=3 inches and L=5 inches, thus:

A_i=3~inches*5~inches

A_i=15~inches

The area of the frame is:

A_f = 26 - 15 = 11~inches

\mathbf{A_f=11~inches}

Area =  l × w

=  6.5 × 4

=  26 feet2

If f(x) varies directly with x and f(x) = 2 when x = 10, then what is the value of f(x) when x = 40?a.8
b.45
c.200
d.320

Answers

Answer: a.8

Step-by-step explanation:

Given : If f(x) varies directly with x and f(x) = 2 when x = 10

We know  if two quantities (x and f(x)) are directly proportional then

(x_1)/(f(x_1))=(x_2)/(f(x_2))

Now, for the given problem we have ,

(10)/(2)=(40)/(f(40))\n\n\Rightarrow\ f(40)=(40*2)/(10)\n\n\Rightarrow\ f(40)=8

Hence, if  x = 40, then f(x)=8.

this is simple multiplication
do 2*4 and 10*4
so you get f(x)=8 and x=40

if you wanna do it by doing division do
2=10
f(x)=40
cross multiply then divide
so do 2*40 to get 80
then do 80/10 to get 8

Determine the most efficient way to use the Binomial Theorem to show the following. (11)^4= 14641A)Write 11=5+6 and expand.
B) Write 11= 10+1 and expand.
C) Write 11= 3+3+2 and expand.
D)Write 11= 4+4+3 and expand.

Answers

The formula for binomial theorem is

(a+b)^n=( \left \ {{n} \atop {0}} \right.)a^(n)+( \left \ {{n} \atop {1}} \right.)a^(n-1)b+( \left \ {{n} \atop {0}} \right.)a^(n-2)b^2+...+( \left \ {{n} \atop {n}} \right.)b^n

Now this shall be very easy if the value of a = 1

The formula shall become

(1+b)^n=( \left \ {{n} \atop {0}} \right.)1^(n)+( \left \ {{n} \atop {1}} \right.)1^(n-1)b+( \left \ {{n} \atop {0}} \right.)1^(n-2)b^2+...+( \left \ {{n} \atop {n}} \right.)b^n

Which shall be

(1+b)^n=( \left \ {{n} \atop {0}} \right.)+( \left \ {{n} \atop {1}} \right.)b+( \left \ {{n} \atop {0}} \right.)b^2+...+( \left \ {{n} \atop {n}} \right.)b^n

So to find 11^4

We must break it as 1 + 10.

Option B) is the right answer.

Write (1+10) and expand. As you will have nCr *(10)^(n-r)
Where r index n count ( less terms)

Simplify the expression. Write the answer using scientific notation.Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 15.8 light-years from Earth. In scientific notation, how many miles away is it?

Answers

we are given with two distances: 5,880,000,000,000 miles and 15.8 light-years. we convert first the light-years distance through the speed of light : 3 x 108 m/s. v = d/t; d = 3x10 8 m/s * 15.8 light years * 31536000 s = 1.4948 x1017 m = 9.28829 x 1013 miles. The difference thus is 8.70029 x 1013 miles