answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
2 years ago
5

Alexa uses the binomial theorem to correctly expand (x+2)^4. which is one of the terms in alexa's answer?

Mathematics
2 answers:
sammy [17]2 years ago
8 0
^0 ...............1
^1..............1  1
^2............1  2  1 
^3...........1 3  3  1
^4..........1 4 6  4  1

(x+2)^4 = 1(x)^4(2)^0 + 4(x)^3(2)^1 + 6(x)^2(2)^2 + 4(x)^1(2)^3 + 1(x)^0(2)4
             = x^{4} + 8 x^{3} + 24 x^{2} + 32x + 16
Aloiza [94]2 years ago
6 0
The first term is x^4.
The second term is  8x^3
You might be interested in
The function y = square root sign x is translated using the rule (x, y) → (x – 7, y + 2)to create f(x). What is the domain of f(
Mama L [17]

Answer:

Second option {x | x > 7}

Step-by-step explanation:

We have the function

y = \sqrt{x}

We know that the square root of a negative number has no solution in the real ones. Therefore the domain of this function is x > 0

When applying the transformation:

(x, y) \to (x - 7, y + 2) we have a translation of the original function in 7 units to the right and 2 units to the top:

f(x) = \sqrt{x-7} + 2

In the same way we must guarantee that (x-7)> 0

Then x > 7.

Therefore the domain of f(x) is {x | x > 7}

7 0
2 years ago
Read 2 more answers
1. Keeping in mind the rules for significant digits, if we multiply 11.55 by 2.5, how many significant digits are we allowed to
kherson [118]
1. For multiplication and division), we first compare the number of significant figure (let's call it SF later in the problem) that the factors have. The product will have the least numbers between them. So, for the case of 11.55 x 2.5, 11.55 has 4 SF while 2.5 has 2. So we choose the smallest which is 2 for this case. Hence, the answer is B. 2. Using the same rules as mentioned in Item 1, we first compare the number of SF in the numbers give. 975.0321 has 7 SF while 0.0003 has 1 (all zeroes not following a counting number are not significant). We now solve for the quotient and round it off to 1 SF. (975.0321/0.0003) = 3250107. Rounding it off, we have 3000000 or 3 x 10⁶. Thus, the answer is D. 3. The rules for multiplication still apply even for more than two factors. So, let's first take note of the SF present in each factor as shown below. 0.00147 = 3 SF 8.314 = 4 SF 7.100 = 4 SF (zeroes after a counting number in the decimal place are considered significant) From this, we can see that the product must round off to 3 SF. Multiplying the three numbers, we have 0.00147 x 8.314 x 7.100 = 0.086773218 So, the product rounded off to 3 SF is 0.0868 or 8.68 x 10⁻². So, the answer must be C<span>. </span>
4 0
2 years ago
An object is moving at a speed of 95 kilometers every 7.5 weeks. Express this speed in
Aleksandr-060686 [28]

Answer:

<h2>5,936.76 feet/day</h2>

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

Distance = 94km

Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

95km = (95*3280.84)feet

95km = 311,679.8 feet

For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

<em>Hence the speed in feet per day is  5,936.76 feet/day</em>

3 0
2 years ago
Nia wants the total weight of her luggage to be no more than 50 kilograms.she has three suitcases that weigh 15.8 kilograms,17.4
Stella [2.4K]

Answer:

The total is 49.5

Step-by-step explanation:

15.8+17.42+16.28

6 0
2 years ago
Your grade point average is 3.48. How can you write your grade point average as a fraction?
Bumek [7]
It would be 3 12/25   
5 0
2 years ago
Read 2 more answers
Other questions:
  • Yolanda hiked each day for a week the first day she hiked 1/5 mile, the second day she hiked 3/5 mile and the third day she hike
    9·2 answers
  • You plan on financing a home theater system for $1,752. The audio shop offers a 15% APR for a 25 month loan. Use this informatio
    7·2 answers
  • A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.The altimeter on
    11·2 answers
  • Rylee took out a loan for $3600 at 13% interest, compounded annually. If she makes yearly payments of $460, will she ever pay of
    8·2 answers
  • Which statement about proportional relationships is false?
    11·2 answers
  • A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
    15·1 answer
  • In 2012, Gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that
    7·1 answer
  • Mimi bought some fabric for a sewing project. The fabric cost $15.40 per meter. She bought 250 centimeters of fabric. How much d
    15·1 answer
  • Mr. Duc asked Perry to set up 450 chairs in a large hall. Perry puts 20 chairs in each row. He has already set up 15 rows of cha
    15·2 answers
  • In​ 2004, an art collector paid ​$ for a particular painting. The same painting sold for ​$ in 1950. Complete parts​ (a) through
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!