Answer:
(a.) 27^4/3 = 81, (b.) 36^3/2 = 216, (c.) (1/8)^2/3 = 1/4, (d.) 128^5/7 = 32
Step-by-step explanation:
All these expressions can be converted in square roots.
In order to do this, we can picture the fractional exponents as exponent / index
(a.) So for this first problem, we would have the cube root of [tex]27^{\frac{4}{3} }[/tex] or
[tex]\sqrt[3]{(27)^{4} }[/tex].
We must do the equation inside the radical first (i.e., [tex](27)^{4}[/tex]) to get [tex]\sqrt[3]{531,441}[/tex] = 81
We can follow these same steps for the remaining equations:
(b.) [tex]36^{\frac{3}{2} }[/tex] = [tex]\sqrt{(36)^3}[/tex] = [tex]\sqrt{46,656}[/tex] = 216
(c.) [tex](\frac{1}{8})^\frac{2}{3}[/tex] = [tex]\sqrt[3]{(\frac{1}{8})^{2} }[/tex] = [tex]\sqrt[3]{(\frac{1^2}{8^2}) }[/tex] = [tex]\sqrt[3]{(\frac{1}{64}) }[/tex] = [tex]\frac{1}{4}[/tex]
(d.) [tex]128^{\frac{5}{7} }[/tex] = [tex]\sqrt[7]{(128)^{5} }[/tex] = 32
Can someone please help me with all of these. And thank you.
Answer/Step-by-step explanation:
1. x = -3.6
Add 1 on both sides.
18x = 23x + 18
Subtract 23x on both sides.
Combine like terms.
Divide the answer.
-5x = 18
x = -3.6
2. x = 11/3 (2.66666...)
Add 5 on both sides.
6x = 3x + 11
Subtract 3x on both sides.
Combine like terms.
Divide the answer.
3x = 11
x = 11/3
3. x = 23
Subtract 12 on both sides.
5x = 6x - 23
Subtract 6x on both sides.
Combine like terms.
Divide the answer.
-x = -23
x=23
(that's all.)
can you simplify 4(-5+100)
71.5*(-9.2)
A. –657.8
B. –65.78
C. 65.78
D. 657.8
Answer:
(A)
Step-by-step explanation:
you can multiply normally like 71.5 × -9.2 =-657.8
Find the volume of this cylinder if it has a diameter of 4mm and a height of
14mm.
Answer:
V≈1.76×10-7m³
Step-by-step explanation:
NEED HELP!! Urgently!
Please Help! ASAP. Will give Brainliest
Answer:
3 Not too sure though
Step-by-step explanation:
don't input my answer, i'm not too sure!
(3x-1)•(5x-3)
find area and perimeter in feet
Answer:
21 is the answers to your question
amelia mom baked 48 cookies after amelia and her friends walk in the kitchen there are 18 cookies left
A lookout tower above a canyon is 4 meters above ground level. The depth of the canyon is 16 meters below ground level. If 0 represents ground level, which number sentence correctly compares their distances above and below ground level?
A) 4<-16
B)4>-16
C)-4<16
D)-4>16
Answer:
B
Step-by-step explanation:
4 meters above. So 4 will not be negative, this eliminates C and D.
16 is definitely negative. So that eliminates C and D again.
< the number on the left of this is smaller than the right
> the number of the right of this is bigger than the left
4 is larger than -16
4>-16
B
Solve the equation: 30 = 5 + 0.5d
Answer:
d = 50
Step-by-step explanation:
30 = 5 + 0.5d ( subtract 5 from both sides )
25 = 0.5d ( divide both sides by 0. 5 )
50 = d
What fraction of an hour is four minutes
Answer
1hr/15 mins=60 mins/15 mins=4 minutes.
Step-by-step explanation:
PLEASE HELP HURRY WILL MARK THE BRAINLIEST ONLY ANSWER IF U KNOW 25 POINTS!!!what is the value expression 2⁴ plus 3²
Answer:
25
Step-by-step explanation:
2x2x2x2=16
3x3=9
16 + 9= 25
What is the ratio in decimal form of 75 people in a 10ft X 10ft square?
Answer:
(100 ft^2) / (75 people) is a ratio: 1.3333... ft^2/person
Step-by-step explanation:
There are 75 people in a 100 square foot area. The amount of space (floor space) is (100 ft^2) / (75 people) = 1 1/3 square feet.
(100 ft^2) / (75 people) is a ratio: 1.3333... ft^2/person
Find the missing lengths:
LN=
MN=
Answer:
LN=4.33
MN=5
Step-by-step explanation:
sine 60
What is the lcm of 12 and 18
Answer:
36
Step-by-step explanation:
Hi there!
We want to find the least common multiple (LCM) of 12 and 18
One easy way to do that is to split up the numbers into one of their factor pairs, find the factor pairs between the numbers we just split apart, and then keep on going, until we only get prime numbers (numbers that only have 1 and itself as multiples)
Let's start with 12.
There are multiple ways to multiply to get to 12, but we can use 3 and 4 for example
12= 3*4
4 is 2 * 2
Substituting 2*2 for 4, 12 is equal to 2*2*3
Now for 18.
18 can also be split up multiple ways; one way would be 9 and 2
18 = 2*9
9 is 3*3
Substitute 3*3 for 9.
18=2*3*3
Now look at 2*2*3; 2 shows up twice in that string of numbers
In 2*3*3, 3 shows up twice in that string of numbers
We multiply the numbers based off of the highest number of times that they occur
In other words, we will multiply 2 * 2 and 3 * 3 together
2 * 2 * 3 * 3 = 4 * 9 = 36
The LCM of 12 and 18 is 36
Hope this helps!
See more on finding the LCM here:
https://brainly.com/question/20380514
Find a polynomial that represents the surface area of a sphere with a radius of (3x – 5) cm.
The surface area of a sphere is 4π^2. Leave your answer in terms of it.
Answer:
π(36x^2 - 120x + 100)
Step-by-step explanation:
4π(3x - 5)^2 = 4π[(3x)^2 - 2*3x*5 + 5^2] = 4π(9x^2 - 30x + 25)
= π(36x^2 - 120x + 100)
Is (6,3) a solution to the equation "a"? Yes or No.
Yes
No
Answer:
Yes
Step-by-step explanation:
can you tell me the answer please
Answer:
11
Step-by-step explanation:
140-129=11
Answer:
140 - 129
Step-by-step explanation:
If Alyanna has more cookies than Alyssa, and we want to find how much more, we need to subtract Alyssa's amount from Alyanna's amount
Therefore, Alyanna has 11 more cookies than Alyssa.
( SHOW UR WORK) Find the value of 8.41 + 42.320
Answer:
See below.
Step-by-step explanation:
42.32
+8.41
50.73
-hope it helps
Answer:
50.73
Step-by-step explanation:
8.41
42.32
+_________
50.73
Hope this helps! Have a great day!!
Jimmy's height is 156 cm, Kessie's height is 168 cm, while Lya's height is 132 cm. Define:
Answer:
132<156<168 or 12×1, 12×2 ...
Step-by-step explanation:
Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy
Pls solve this I can do it after school I can do it after school , I’m going to cry again
Answer:
s = 71
j = 23
71 = 3j+2
71 - 2 = 3j
39 = 3j
j = 23
Answer:
j=23
s=71
Step-by-step explanation:
Here we have two parallel lines lines( UB and DK).
And we have another line, called a transversal that intersects( crosses) both parallel line. Doing so creates the following angles,
Vertical Angles, Angles are equal in measure Alternate Exterior Angles, Angles are equalAlternate Interior Angles. Angles are equalConsective Angles. Angles are equalLinear Pair Angles. Angles add up to 180So now we look at the graph
First, we know that 3j+2 and s are vertical angles since they are across of each other. So they are equal to each other so let look at another angle first.
3j+s and 71 are Alternate Interior Angles since they lie inside the transversal and are across from each other.
Since they are Alternate Interior Angles, they are equal.
So we set them equal to each other.
[tex]3j + 2 = 71[/tex]
Subtract 2 from both sides
[tex]3j = 69[/tex]
Divide both sides by 3
[tex]j = 23[/tex]
The value of j is 23.
Know to find S, we know s is equal to 3j+2, which when we plug in 23 for j, we get 71.
So s=71
2) It takes me 25 minutes to drive to school in the morning and 20 minutes to drive home after
school if those times stay the same every day, how much time do I spend driving to and from school
in a week?
Answer:
225 minutes if school is 5 days a week.
Step-by-step explanation:
20+25=45. 45x5=225
Help pleaseeee helpp!!
Answer:
D
Step-by-step explanation:
i did the math
Can someone help me with this please!
Answer:
Step-by-step explanation:
Write an equation for the line parallel to the given line that contains C.
c(3,8); y= 5/8x + 8
Answer:
x= - 64/5
Step-by-step explanation:
1- Substitute y = 0
2- Multiply both sides
3- Move the variable to the left
4- Divide both sides
A box is 20 inches long and 21 inches high. What is the diagonal length of the box?
Answer:
29 inches
Step-by-step explanation:
Answer:
Use Pythagoras' Theorem:
c²=a²+b²
c²=20²+21²
c²=841
c=√841
c=29 inches
Step-by-step explanation:
PLEASE HELP!!! If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse?
Answer:
tan(47)=53/z
Step-by-step explanation:
Using trig ratio tan(x)=O/A
there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)
Therefore, tan(47)=53/z
[tex]\\ \tt\hookrightarrow tan47=\dfrac{H}{B}[/tex]
[tex]\\ \tt\hookrightarrow tan47=\dfrac{53}{B}[/tex]
[tex]\\ \tt\hookrightarrow B=\dfrac{53}{tan47}[/tex]
Simplify (3x2 − 2) (2x2 − 6x 3). 5x2 − 6x 1 5x2 − 6x − 1 x2 − 6x 1 5x2 − 8x 3.
Answer:
-566
Alternative form:
-5.66 x [tex]10^{2}[/tex]
Which polynomials are prime? Check all of the boxes that apply.
x2 + 9
x2 – 9
x2 + 3x + 9
–2x2 + 8
Answer:
Answer:
The prime polynomials are
x² + 9
x² + 3x + 9
Step-by-step explanation:
17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please
Answer:
18.8 years
Step-by-step explanation:
8% of $2000 = $160
To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.