1answer.
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
s2008m [1.1K]
3 years ago
6

Simplify each of the following:

Mathematics
2 answers:
Zepler [3.9K]3 years ago
7 0

Answer:

a)

  • √25 + √50 - √24 + √49 =
  • 5 + 5√2 - 2√6 + 7 =
  • 12 + 5√2 - 2√6

b)

  • √2(2√8 – 3√32 + 4√50) =
  • 2√16 - 3√64 + 4√100 =
  • 2*4 - 3*8 + 4*10 =
  • 8 - 24 + 40 =
  • 24
Novay_Z [31]3 years ago
6 0

Answer:

a.) 12 + 5√2 - 2√6

b.) 24

Step-by-step explanation:

a) √25 + √50 - √24 + √49

  • √25 + √50 - √24 + √49

Calculate the square root .

  • 5 + √50 - √24 + 7

Simplify the radical expression.

  • 5 + 5√2 - 2√6 + 7

Combine like terms.

  • 5 + 7 + 5√2 - 2√6
  • 12 + 5√2 - 2√6

b.) √2 ( 2√8 - 3√32 + 4√50 )

  • √2 ( 2√8 - 3√32 + 4√50 )

Simplify the radical expression.

  • √2 ( 4√2 - 3 × 2²√2 + 20√2)

Evaluate the power.

  • √2 ( 4√2 - 3 × 4√2 + 20√2)

Calculate the products.

  • √2 ( 4√2 -12√2 + 20√2)

Combine like terms.

  • √2 × (4 - 12 + 20 )√2
  • √2 × 12 √ 2

Multiply.

  • 2 × 12
  • 24
You might be interested in
1/7 ÷ 4/9 = _ × _=_​
pogonyaev
1/7 x 9/4 = 9/28

This process to solving division involving fractions is called “keep, change, flip”
8 0
3 years ago
Carly has 15 stuffed animals. How many ways are there to organize her top 3 favorites?
Ivanshal [37]
Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
\frac{n!}{(n-r)!}
Where n is the number of items you have, and r is the number of times you choose from the items.
\frac{15!}{(15-3)!}
Which simplifies to
\frac{15!}{(12)!}
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.

Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
\frac{n!}{r!(n-r)!}
The  variables are still the same, but you are now multiplying by r!.
\frac{15!}{3!(15-3)!}
Simplifies to
\frac{15!}{3!(12)!}
Which simplifies to (using the same cancellation method above)
\frac{2730}{3!}
Dividing 2730 by 3! will get us an answer of 455.

Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.

:)
4 0
3 years ago
A) Is {a, e,i,o,u} a subset of {a,b,c,d,e,f,g,h,i) <br> Why?<br>​
kozerog [31]

Answer:

No

Step-by-step explanation:

u and o arent elements of {a, b, c, d, e, f, g, h, i}

8 0
3 years ago
Read 2 more answers
I need the smaller and larger angle
SSSSS [86.1K]

Answer:

x=11

Step-by-step explanation:

(4x)+(3x+13)=90                

if you look at the beam, it includes a 90 degree angle.

7x+13=90

distributive property

7x=77

subtracted both sides by 13

x=11

divided both sides by 7 to isolate x

4(11)         3(11)+13

44             33+13

                36

4(x) is the larger angle

6 0
3 years ago
Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an
Helen [10]
$34*.15= 5.1 off
34-5.1= $28.99
It doesn't leave % to tip so no tip included. It also didn't leave % to tax.
5 0
3 years ago
Other questions:
  • Help me on this question
    8·1 answer
  • What is the quotient of -1/8 and - 1/3
    11·1 answer
  • Plz help me answer this question I’m being timed
    5·2 answers
  • In an auditorium, the first row of seats has 30 seats. each row behind the first row has 4 more seats then the row in front of i
    15·1 answer
  • This graph shows how the length of time a kayak is rented is related to the rental cost. What Is the rate of change shown in the
    8·2 answers
  • 1. What is the solution to this system of equations?
    11·1 answer
  • A garage door is 16 feet wide; the scale is 2 inches = 1 foot. How wide is the door on the scale drawing? Door = ________ inches
    13·2 answers
  • There are 20 squares and 4 triangles. What is the simplest ratio of triangles to<br> squares?
    12·1 answer
  • What is the unit rate per bottle if a pack of 25 bottles of juice sells for $5? (1 point)
    7·1 answer
  • A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters. A triangular prism is s
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!