Answer:
$3063.6
Step-by-step explanation:
72% of $4,255 = $3063.6
The formula for finding percents is number x percent ÷ 100.
4,255 x 72 ÷ 100 = 3063.6
Find the volume of the
rectangular prism.
2 cm
8 cm
5 cm
V = [?] cm3
The volume of a rectangular prism is 80 cm³.
The dimensions of a rectangular prism are length=8 cm, breadth=5 cm and height=2 cm.
What is the formula to find the volume of a rectangular prism?The formula to find the volume of a rectangular prism is l×b×h.
Now, the volume of a rectangular prism=8×5×2=80 cm³.
Therefore, the volume of a rectangular prism is 80 cm³.
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Simplify (4a^m+3)^3*(1/16a^1-m)^2
The simplified answer is 27m^2
The simplification of the given expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
To simplify the expression, let's start by expanding each term and then combining like terms:
Expand the first term (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = (4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)
Using the binomial expansion formula for (a + b)³
(a + b)³ = a³ + 3a²b + 3ab² + b³
So, for (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = 4³ × ([tex]a^m[/tex] )³ + 3 ×4² [tex]a^m[/tex] ([tex]a^m[/tex] )²× 3 + 3 × 4× ([tex]a^m[/tex] ) × 3² + 3³
= 64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex] + 108[tex]a^m[/tex] + 27
Expand the second term (1/16[tex]a^{(1-m)[/tex])²
(1/16[tex]a^{(1-m)[/tex])² = (1/16[tex]a^{(1-m)[/tex]) (1/16[tex]a^{(1-m)[/tex])
Simplify the square of a fraction by squaring the numerator and denominator separately:
(1/16[tex]a^{(1-m)[/tex])² = (1²)/(16²) × ([tex]a^{(1-m)[/tex])²
= 1/(256) × [tex]a^{(2(1-m))[/tex]
=[tex]a^{(2-2m)[/tex]/256
Now, let's multiply both simplified terms:
(4[tex]a^m[/tex] + 3)³ ×(1/16[tex]a^{(1-m)[/tex])²
= (64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex]+ 108[tex]a^m[/tex]+ 27) ([tex]a^{(2-2m)[/tex]/256)
Now, combine the terms with similar exponents:
= (64[tex]a^{(3m)[/tex] [tex]a^{(2-2m)[/tex] + 144[tex]a^{(2m)[/tex] [tex]a^{(2-2m)[/tex]+ 108[tex]a^m[/tex] [tex]a^{(2-2m)[/tex] + 27 × [tex]a^{(2-2m)[/tex])/256
Using the property [tex]a^m \times a^n = a^{(m+n):[/tex]
= (64[tex]a^{(3m + 2 - 2m)[/tex]+ 144[tex]a^{(2m + 2 - 2m)[/tex] + 108[tex]a^{(m + 2 - 2m)[/tex]+ 27[tex]a^{(2-2m)[/tex])/256
Simplify the exponents,
= (64a² + 144a² + 108a² + 27[tex]a^{(2-2m)[/tex])/256
Now, combine the like terms:
= (336a² + 27[tex]a^{(2-2m)[/tex])/256
Therefore, the simplified expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
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The length of a rectangle is 6 cm longer than its width.
The area of the rectangle is 135 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answer:
bro answer is 9
Step-by-step explanation:
i took test
Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M. Explain how you know that the tour was more than 30 minutes.
Answer: See explanation
Step-by-step explanation:
Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:
= 2.45 pm - 2.05pm
= 40 minutes.
Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.
i need help on a equation −4a5⋅6a5
Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle
Answer:
37
Step-by-step explanation:
if y=27 when x= 8 find y when x =11
Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
1/Secx-tanx -1/secs+tanx
Need help really bad
It’s the second one
Answer:
Explanation down
Step-by-step explanation:
find the solution please
Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?
1
5
11
13
Answer:
5
Step-by-step explanation:
17 dogs total all counted up.
17- 5 = 12
5 could have ran away
hope i could help! i tried my best, have a nice day!
Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v
Answer:
180
Step-by-step explanation:
This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.
There are two ways to solve
1. [tex]\frac{150*120}{100}[/tex]
2. [tex]120+\frac{120\\}{2}[/tex]
To do the first one:
1. Multiply the values in the numerator
18000/100
2. Divide
180
To do the second one:
1. Divide the fraction
120 + 60
2. Add
180
which of the following is (-5x + 4)-(3x^2-7x+4) simplified and written in standard form?
Answer:
jhgsdfgtyhujwert
Step-by-step explanation:
how is 0.6 is greater than the value of 0.39
rewrite the function f(x)=2(x-2)^2-5 and in the form ax^2+bx+c
Answer:
Step-by-step explanation:
f(x)=2(x-2)²-5
f(x)=2(x²-4x+4)-5
f(x)=2x²-8x+3
At a hockey game a vendor sold a combined total of 102 sodas and hot dogs the number of hot dogs sold are 50 less than the number of sodas sold find the number of sodas sold and the number of hot dogs sold
Answer:
26 hotdogs
76 sodas
Step-by-step explanation:
x - 50 for hot dogs
x for sodas
(x-50) + x = 102
2x -50 = 102
2x = 152
x = 76
76-50 = 26 hotdogs
76 sodas
There are _ total possible outcomes.
Answer:
20 possible outcomes
Step-by-step explanation:
Guys pls help me!!!!
Answer: D
Step-by-step explanation:
There is no points I plotted them on a graph and they don't intercept on the graph
Help with right Awnser
Answer:
Solution given:
base[b]=8m
perpendicular [p]=3m
we have
area of triangle=[tex] \frac{p \times b}{2} [/tex]
=[tex] \frac{3 \times 8}{2} [/tex]=12m²
is your answer
Answer:
12m2
Step-by-step explanation:
What is SRV? plssssssssssssssssssss help
The Measurement of SRV is 120°
Do these three sides make a triangle? Is it unique? 12 ft, 24 ft, and 30ft
A.Yes, it is a triangle and it is unique.
B.Yes, it is a triangle, but it is not unique.
C. No, it does not make a triangle.
Answer:
A. Yes, it is a triangle and it is unique
Step-by-step explanation:
Those side measurements make a scalene triangle.Triangles with no two equal sides or congruent angles are called scalene triangles. In scalene triangles, each angle and side is completely unique.
Please help links=report and if correct I’ll mark you brainiest
Answer:
A is the correct answer.
Hope this helps [tex]\mathtt{: )}[/tex]
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
Answer:
c=81
Step-by-step explanation:
Take half of b: 18/2=9
Square the result: 9²=81
This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:
x²+18x+81=25+81
x²+18x+81=106
(x+9)^2=106 <-- Final simplification
(x+9
Answer:
c=81
Step-by-step explanation:
pls give me banliest
How many words does Rachel type per minute
there is no problemStep-by-step explanation:
explain why conductivity is a good measure of the salinity of water?
Answer:
Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.
Step-by-step explanation:
find the missing side 3 and 4.
Answer:
3. [tex]5\sqrt{3} \\[/tex] m
4. 5 m
Step-by-step explanation:
Just use Pythagorean theorem
wright this without exponents
-2u^5*6u^3
Answer:
-12u^8
Step-by-step explanation:
Factoring tinomials
3) 3n^2-8n+4
5) 2y^2+11v+5
7) 7a^2+53a+28
Do all please
Factor.
11x2+35x+6
Enter your answer in the box.
Answer:
[tex]\displaystyle [x + 3][11x + 2][/tex]
Step-by-step explanation:
[tex]\displaystyle 11x^2 + 35x + 6 \\ [11x^2 + 2x] + [33x + 6] \\ x[11x + 2]\:\:\:\:\:3[11x + 2] \\ \\ \boxed{[x + 3][11x + 2]}[/tex]
I am joyous to assist you at any time.
Answer: i took the test
Step-by-step explanation:
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
Diego wants to sell his bicycle. It cost $150 when he bought it but has depreciated by 15%. How much should he sell it for?
Answer:
$127.50
Step-by-step explanation:
15/100 = 0.15
0.15 x 150 = 22.5
150 - 22.5 = 127.5