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
monitta
4 years ago
15

Simplify each expression. Write answers with only positive exponents. Assume that all variables represent positive real numbers.

Mathematics
1 answer:
zubka84 [21]4 years ago
6 0

Answer:

Step-by-step explanation:

Remember that r = r^1.

r^-1/2(r + r^3/2)

Distribute the r^-1/2 to both terms:

r^-1/2 * r^1 + r^-1/2 * r^3/2

When we multiply the same bases together, we add the exponents!

r^1/2 + r^1

Simplify:

r^1/2 + r

You might be interested in
For any two nonzero integers, the product and quotient have the same sign. True or False
victus00 [196]
That's true. If the integers both have the same sign, then their product and quotient are both positive. If signs are different, then product and quotient are both negative.
5 0
3 years ago
Read 2 more answers
A rectangular pyramid was sliced parallel to its base. What is the shape of the cross section
nignag [31]

<u>Answer:</u>

Trapezoid is the shape of the cross section of a rectangular pyramid.

<u>Step-by-step explanation:</u>

We are given a rectangular pyramid was sliced such that it becomes parallel to its base. We are to determine the shape of the cross section.

Slicing the pyramid with rectangular pyramid will form a trapezoid as a cross section which will be parallel to the base of the pyramid.

Refer to the figure below for better understanding.

4 0
3 years ago
A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest
Usimov [2.4K]

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

3 0
4 years ago
Apply the distributive property to create an equivalent expression.<br> −9⋅(5j+k)
disa [49]

Step-by-step explanation:

step one: *multiply the negative 9 with the 5j.

which which will come out to be -45j

step 2: now now multiply the -9 with the k. which it comes out to be negative 9k.

step 3: -45j + -9k

4 0
3 years ago
Read 2 more answers
Solve this problem using the proper formula. A carpenter is building a bookcase the perimeter of the top is 108 in. What length
lapo4ka [179]
Assuming the length is y and the width is x
Perimeter = y + y + x + x
                = 2y +2x
                = 2 (y + x)
if the is 8 and the perimeter is 108
   108 = 2 (y +8)
    108/2 = y+8
    54    = y +8
    54 - 8 = y
    46 = y

Length = 46 inches
3 0
3 years ago
Read 2 more answers
Other questions:
  • Hey guys what this answer step-by-step step<br> 2(7x+5)=122
    5·2 answers
  • Expanded form of 99.438
    11·1 answer
  • You suspect that the spiciness of food served in a restaurant is positively correlated with number of soft drinks ordered. What
    9·1 answer
  • What is the probability of drawing a red marble out of the bag without looking?
    14·1 answer
  • How do I get X for this question?​
    12·1 answer
  • 0.25 multiplied by 15 = ?<br> What is ?
    7·2 answers
  • The mean life of a particular brand of light bulb is 1200 hours and the standard deviation is 50 hours. We can conclude that at
    7·1 answer
  • What percent of 210 is 168?
    10·1 answer
  • Fill in the blanks to continue the pattern.<br><br> 1,__, 9, 13, __
    13·1 answer
  • Can someone help me with this it is due at 6​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!