Answer:
The answer is Option A
Step-by-step explanation:
Start by dividing 54 by 6 which will give you 9
then divide b² by b^5 which will give you b³ at the denominator
then a^8÷a^-4
using indices...
=a^8-(-4)
=a^12
at the numerator
put everything together and you'll have...
9a^12/b³
A. [tex] \frac{9 \: {a}^{12} }{ {b}^{3} }[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]54 {a}^{8} {b}^{2} \div 6 {a}^{ - 4} {b}^{5} [/tex]
To solve the expression in a simpler way, single out the like terms.
Now, we have
[tex] \frac{54}{6} . \frac{ {a}^{8} }{ {a}^{ - 4} } . \frac{ {b}^{2} }{ {b}^{5} } \\ \\ = 9 \: {a}^{8 - ( - 4)} {b}^{2 - 5} \\ \\ (∵ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ \\ = 9 \: {a}^{8 + 4} {b}^{ - 3} \\ \\ = 9 \: {a}^{12} {b}^{ - 3} \\ \\ ( \: or \: ) \\ \\ = \frac{9 \: {a}^{12} }{ {b}^{3} } \\ \\ (∵ {a}^{ - m} = \frac{1}{ {a}^{m} } )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?
A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00
Answer:
The correct option is D) $1,248.00
Step-by-step explanation:
First calculate $24 at 36 hours
24 * 36 = $864
then
calculate $48 at 8 hours because of double time
48 * 8 = $384
then
add them both up
864 + 384 = $1248
Which choice is equivalent to the expression below when x 0?
√328 – 116x + 428 – 12x
O A. 3x12x
O B. 4x/2x
O c. 18x
O D. 32x
the answer is d hopes this helps you
The Grade 5W students at the Eber Prep School wanted to create a mural on one
side of the walls in their classroom. the area of the wall is 36 square meters or 36
meters square.
Answer:
the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about
the sum of 43.9 and 4 groups of a number
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,7) and (9,-2)
Answer: 10.3
Step-by-step explanation:
Help needed to solve this
Given:
The expression is:
[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]
To find:
The simplified form of the given expression
Solution:
Formula used:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
We have,
[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]
It can be written as:
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4)^2-(a^4)^2}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4-a^4)(b^4+a^4)}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b^2-a^2)(b^2+a^2)}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
Taking LCM, we get
[tex]=\dfrac{1(b-a)(b^2+a^2)+2a(b-a)(b+a)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2a(b^2-a^2)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2ab^2-2a^3+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b+ab^2+a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
Using the grouping method factories the numerator.
[tex]=\dfrac{b(b^2+a^2)+a(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{(b+a)(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]
Cancel out the common factors.
[tex]=\dfrac{1}{b-a}[/tex]
Therefore, the value of the given expression is [tex]\dfrac{1}{b-a}[/tex].
Use the diagram to determine which expressions you
can use to find 60% of 90.
Check all that apply.
O 3 x 0.20
O 0.60 x 90
O 0.90 x 0.60
O 3 x 20%
O 3 x 18
(IN A TEST PLEASE HELP)
Answer:
You can use 0.60 × 90, 3 × 18 works as well.
Step-by-step explanation:
Hmmm....let's see.
You can use 0.60 × 90, 3 × 18 works as well. The answer is 54.
We know this because when finding a percentage of a number you multiply that decimal by the number. 2nd option as well as last option could work. Hope this helps, please mark brainliest!
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
y = mx + c (slope/intercept form)
c = 0 (this is the y intercept)
The format will be of y = mx
The gradient acts as the slope (m)
'y' acts as the line represented on the graph, or the 'times visited'
'x' is the independent variable, or the 'days for sale'
m = 10/5 = 2 (rise/run on the line shown)
m = 2
y = 2x
40 days > . y = (2 x 40), y = 80 (number of times the house has been visited)
70 times visited > . 70 = 2x
70 / 2 = 35
x = 35 (days for sale)
A baker uses 20
cups of flour to make 4 loves of bread. Use this information for the picture below!
Answer:
60 cups
Step-by-step explanation:
We can use ratios to solve
20 cups x cups
--------------- = -------------------
4 loaves 12 loaves
20 * 12 = 4 *x
240 = 4x
Divide by 4
240/4 = 4x/4
60 =x
60 cups
If f(x) = 4x + 5,, determine f(-2).
a. -7/4
b. 13
c. -3
d. 7
Answer:
C
Step-by-step explanation:
f(-2) = 4(-2) + 5
f(-2) = -8 + 5
f(-2) = -3
Answer:
-3
Step-by-step explanation:
f(x) = 4x + 5
Let x = -2
f(-2) = 4(-2) + 5
=-8+5
-3
Classify the following triangle check all that apply
Answer:
Option E, Acute
Option F, Scalene
Hope this helps!
Answer:
Acute & Scalene
Step-by-step explanation:
This triangle has no equal sides. Therefore, it is scalene.
Moreover, this triangle has no angles greater than or equal to 90°. Therefore, it is also acute.
Kendra can see the top of her apartment building reflected in a small fish pond in a park across the street. She is standing 2 m from the pond, and the distance from the pond to the apartment building is 40 m. If Kendra's eyes are 150 cm above the ground, how tall is the apartment building?
Answer:
Step-by-step explanation:
According to problem description, we have two triangles
The first one: the fish pond and feet and eyes of Kendra
The second one the fish pond and the side wall of the apartment
These two triangles have angle α as common angle and its tan
tan α = 1.5/ 2 = x/ 40 then note : 150 cm = 1.5 m
1.5/ 2 = x/ 40
x = 40 * 1.5 / 2
x = 30 m
It's urgent I need help quick pls help me
Answer:
11
Step-by-step explanation:
16 - 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] - 5
= 16 - 5
= 11
Choose the appropriate value for LR for the following similar triangles given below.
A. 18
B. 20
C. 12
D. 14
Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9
Answer:
Step-by-step explanation:
From the given question, the following statements and reasons can be matched;
Statement Reason
1. <1 and <2 are linear pair Given
2. <1 and <2 are supplementary Linear pair postulate
3. <1 ≅ <2
4. <1 ≈ <2 Given
5. m<1 = m<2 Substitution POE
6. m<1 + m<2 = [tex]180^{o}[/tex] Def of supplementary angles
7. 2(m<1) = [tex]180^{o}[/tex] Simplify/ Combine like terms
8. m<1 = [tex]90^{o}[/tex] Definition of right angle
9. 2(m<2) = [tex]180^{o}[/tex]
10. g ⊥ h Def of perpendicular lines
the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.
Answer:
Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.
In mathematical terms,
X
∼
P
o
i
s
s
o
n
(
2
)
.
The PMF of the random variable X is given as,
P
(
X
=
x
)
=
e
−
2
×
2
x
x
!
f
o
r
x
=
0
,
1
,
2
,
.
.
.
.
.
=
0
E
l
s
e
w
h
e
r
e
The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,
P
(
X
≤
3
)
=
P
(
X
=
0
)
+
P
(
X
=
1
)
+
P
(
X
=
2
)
+
P
(
X
=
3
)
=
e
−
2
×
2
0
0
!
+
e
−
2
×
2
1
1
!
+
e
−
2
×
2
2
2
!
+
e
−
2
×
2
3
3
!
=
0
.13534
+
0
.27067
+
0
.27067
+
0
.18045
=
0
.85712
Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:
What is 12 decreased by p?
Answer:
12 - p
Step-by-step explanation:
12 - p
7th grade Girl!
*urgent, pls pls pls help!* :(
(in the screenshot above. pleaseeeee! i’m desperate ahhhh :( )
Which are the solutions of x2 = -13x – 4?
Answer:
x=3.75
Step-by-step explanation:
My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??
Answer:
Something that's in your budget.
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.
Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
---------------------------
Answer:
60 bacteria
Step-by-step explanation:
c on edge 2022
Can someone help me please???
Answer:
35,691
Step-by-step explanation:
First step, look at the diagram and you see that you have a sphere and a cone.
The total surface area of a sphere is
[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]
Since you only have half of a sphere, the surface area is 9,556.5
The surface area of the cone is
[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]
You don't need the bottom of the cone however as it is connected to the half sphere.
So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800
The area of the circle is 4,778
which recursive formula can be used to represent the sequence 2,4,6,8,10.... ?
a
b
c
or d
Step-by-step explanation:
the (A) formula is preferable to use and is the correct one
Find the volume of the pyramid shown.
Answer:
48
Step-by-step explanation:
I did the work, the answer is 48
The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters
Step-by-step explanation:
Bab isn’t good with quick mafs
Answer:
153.86
Step-by-step explanation:
Formula area circle = πr²
Solve:
Area = 3.14* 7²
Area = 3.14 * 49
Area = 153.86
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
zeroes of polynomial p(x)=2x^2-9-3x are :
Answer:
x = - [tex]\frac{3}{2}[/tex], x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 3 = 0 ⇒ x = 3
3x=1/81 what is the value of x?
Answer:
hello
3x = 1/81
x = 1/ 81*3
x = 1/243
Step-by-step explanation:
Answer:
x=(1/81)/3
x=1/243
Step-by-step explanation:
Find the average rate of change (-4,-7)(-2,3)
hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation
Answer:
I hope the above attachment helps you mate
Have a great day
[tex]#Liliflim[/tex]
Answer:
Solution given;
a⁴-23a²b²+b⁴
making in the form of a²+2ab+b²
a⁴+2a²b²+b⁴-2a²b²-23a²b²
(a²+b²)²-(5ab)²
factoring by using formula
x²-y²=(x+y)(x-y)
(a²+5ab+b²)(a²-5ab+b²)
In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a student chosen randomly from the class has a cat?
Answer:
from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30
14/30
7/15
7/15 as a percent is 46.6667%