Answer:
6.872* 10^17
Step-by-step explanation:
(2^(8) * 5^(5) * 19^(0)) * ((5^(2))/(2^(3)) ) * 2^(38)
you add the exponent of the same number because it is multiplication
for number two 2 : 8+38=46
for division you subtract the exponents : 46-3=43
and for number 5 : 5+2=7
for 19^0=1
2^43*5^7=6.872*10^17
10+12+14+...+(2n)=90 n=?
Answer:
n=10
Step-by-step explanation:
The given equation is
[tex]10+12+14+...+2n=90[/tex] ...(1)
Let nth term is 2n.
We need to find the values of n.
It is clear that [tex]S_n=10+12+14+...+2n[/tex] is sum of A.P., whose first term is 10 and common difference is 2.
Sum of A.P. is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
where, a is first term and d is common difference.
Substitute a=10 and d=2 in the above formula.
[tex]S_n=\dfrac{n}{2}[2(10)+(n-1)2][/tex]
[tex]10+12+14+...+2n=n[10+n-1][/tex]
[tex]10+12+14+...+2n=n[9+n][/tex] ...(2)
From (1) and (2), we get
[tex]n(9+n)=90[/tex]
[tex]n^2+9n-90=0[/tex]
Splitting middle term, we get
[tex]n^2+15n-6n-90=0[/tex]
[tex]n(n+15)-6(n+15)=0[/tex]
[tex](n+15)(n-6)=0[/tex]
[tex]n=-15,6[/tex]
Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.
Note: nth term and variable n both are different.
[tex]a_n=a+(n-1)d[/tex]
[tex]a_6=10+(6-1)2=10+10=20[/tex]
Sixth term is 20. So,
[tex]2n=20[/tex]
[tex]n=10[/tex]
Therefore, the value of n is 10.
Need it for grade: What is X???
Answer:
x=6
Step-by-step explanation:
FG + GH = FH
4+x-3 = 2x-5
Combine terms
x+1 = 2x-5
Subtract x from each side
x+1-x = 2x-5-x
1 = x-5
Add 5 to each side
1+5 = x-5+5
6 =x
Answer:
x=6
Step-by-step explanation:
F G + G H = F H
4+x-3 = 2x-5
plz help!!! marking brainiest!!
A manufacturer spends $12000 in parts to build a car, they then go and sell that car for $25000. What percentage of profit did they make?
Answer:
108.3%
Step-by-step explanation:
The manufacturer spends $12,000 in buying the car parts and sells the car for $25,000
Selling price= $25,000
Cost price=$12,000
Gain= selling price-cost price
= 25000-12000
= $13000
The percentage profit can be calculated by applying the formular below
Profit= Gain/cost price×100/1
=13000/12000×100/1
=1.083×100
= 108.3%
Hence the percentage profit is 108.3%
Answer:
52%
Step-by-step explanation:
Step one
In this problem we we have to calculate the profit made after spending a certain amount on the car
Step two
Given that he spent $12000 for parts
And he sold the car for $25000
The profit made is
=Cost of car - cost of repair
= 25,000-12,000
=$13,000
The profit made is $13,000
Step three
Using the cost of the car and the profit realized we can calculate the percentage of the profit made
= (13,000/25,000)*100
= 0.52*100
=52%
the compounding of this question
Simplify the expression by combining like terms.
22+5−4+7−8
Answer: 22
Step-by-step explanation:
22+5= 27
27-4=23
23+7=30
30-8=22
Answer:
22+m+ 7n - 8
Step-by-step explanation:
22+5m-4m+7n-8
22+m+ 7n - 8
you subract 4m from 5m because there are like terms
none of the others are like terms so you cant add or subract them
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
What expression represents 6 less than the quotient of a number and 4 is 15
76 deliveries in 4 hours
= [ deliveries per hour
Answer: 17.75 deliveries made per hour
Step-by-step explanation:
71/4 = how many deliveries made per hour.
12. The overtime rate of pay which is one-and-a-half times the basic rate of $240
per hour is
Answer:
300 inches tall or a flat surface is the best way you could use it to be
PLEASE HELP WILL MARK BRAINLIEST
Draw the reflection of the figure over the line shown.
Answer:
Step-by-step explanation:
What is the area of the yard?
Answer:
256
Step-by-step explanation:
Assuming that the length of his garage is the longer dimension (16), the area of the square yard must be 16*16=256 square units. Hope this helps!
What is the value of x?
Answer:
x = 98
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 53+45
x = 98
Answer:
x°=98°
Step-by-step explanation:
Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.
x°=98°
What is the value of f(x) = 2.2 for f(-2)?
here is your ansewewrew
A store uses a 60% markup rate to sell items to its customers. If one item costs 12$ how much money the store will make on that item. And what is the selling of that item.
Answer:
12
Step-by-step explanation:
60% of $12
(60 × 20) ÷ 100 = 12
The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is the range of the lengths of the fence?
Answer: 4 feet < Length < 21 feet
Step-by-step explanation:
From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:
Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:
4 feet < Length < 21 feet
Answer:
12.5
its right
Step-by-step explanation:
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answer:
complementary
Step-by-step explanation:
to complete 90 gradus
_________________________________
Hey!!
<a and <b are complementary angles.
Complementary angles are those angles which are exactly 90 degree.Hope it helps
Good luck on your assignment
__________________________________
A rectangle with a length of x + 5 has a perimeter of 4x + 14.
1. Write the expression for the width of the rectangle in terms of x.
Help plsss
Answer:
hope this helps you
Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour? I need the answer as a fraction.
Answer:
He can ride his bike 5/34 of a mile per hour.
Step-by-step explanation:
If Ryan can ride the bike 5 miles per 34 hours, then all you have to do is divide the hours and the miles by 34. This way, you would be left with only one hour and 5/34 of a mile.
A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
[tex]\mathbf{7x^3+3.5x^2}[/tex];
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e
[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]
Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
PLEASE HELP ME PLEASE AND THANK U
Answer:
3/4
Step-by-step explanation:
There is 2 Os and 8 in total.
So the probability of selecting O is 1/4
As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4
the area that lies between Z=-2.61 and Z=0 is
Answer:
2.61
Step-by-step explanation:
To find the amount of space between the two points, subtract -2.61 from 0.
0 - (-2.61) Distribute the negative
0 + 2.61 Add
2.61
What is the length of AC?
Please help!!!!
Answer:
Step-by-step explanation:
answer b
Answer:
Option B
Step-by-step explanation:
Let us consider that these right triangles form a sort of proportion among one another. If that is so, we can list out which sides of one triangle correspond to which side of the other triangle;
[tex]BA and DE,\\AC and EC,\\BC and DC[/tex]
With this being said, it is given that BA = 84, and DE = 7. To prove that the could be proportional, let us form a like fraction;
[tex]DE / BA =\\84 / 7 = \\12\\\\Conclusion, BA = 12 * DE\\Conclusion, Sides Of Triangle DEC = 12 * Sides Of Triangle BAC[/tex]
With that, the length of AC in respect to EC can be represented as such;
[tex]AC = 12 * EC,\\156 - x = 12 * x,\\156 - x = 12x,\\156 = 13x,\\\\x = 12[/tex]
[tex]AC = 156 - x = 156 - 12 = 144[/tex]
Solution - Option B
Volume of a triangular prism 4 cm 9 cm and 5 cm
Answer:
180 cm³
Step-by-step explanation:
Volume = base area x height
4x9x5
Answer:
180 cm^3
Step-by-step explanation:
Vol = base time height times length
4 times 9 times 5 = 180
from this equation, y=12x+1, which of these are true?
the slope is 12
the x intercept is 1
the slope is 1
the y intercept is 12
Answer:
the slope is 12
Step-by-step explanation:
y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.
Since 12 has replaced m, it is the slope.
Since 1 has replaced b, it is the y-intercept.
"the slope is 12" is the correct answer choice.
the radius of the compass in 14 millimeter. what is the approximate area of the compass? (use 3.14
Answer:
the approximate area of the compass is 615.75mm2
Archimedes drained the water in his tub. 62.562.562, point, 5 liters of water were drained each minute, and the tub was completely drained after 888 minutes.
Answer:
500 liters
Step-by-step explanation:
We want to find the total amount of water that was drained.
He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:
62.5 * 8 = 500 liters of water
w
b
Х
What is the value of c?
4
4 units
a
с
0 5 units
Y
6 units
3
Z
O 7 units
The length c is the hypotenuse of the triangle WYZ, and the value of c is 5 units
How to determine the value of c?Considering the triangle WYZ, we make use of the following Pythagoras theorem
c² = 4² + 3²
Evaluate the exponents
c² = 16 + 9
Evaluate the sum
c² = 25
Take the positive square root of both sides
c = 5
This means that the value of c is 5 units
Read more about right triangles at:
https://brainly.com/question/2217700
#SPJ5
Un fabricante de ventanas cuadradas cobra a razón de 3 euros por cada metro de marco y 12 euros por el cristal, sean cuales sean las dimensiones.
a)cuanto costara una ventana de 2 metros de lado.
b) por una ventana hemos pagado 60 euros¿cuanto mide su lado?
c)encuentra la expresión que nos de el precio de la ventana en función de las dimensiones y realiza una representación gráfica de esta función.
Answer:
Givens
The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.If a window has 2 meters side, how much would it cost? (A)Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)
If we paid 60 euros, the dimensions are (B)
[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
Find the surface area of the prism.
Answer:
78 square ft.
The answer is 75 ft
explanation
12ft x 2.5ft = 30ft
12ft x 2ft = 24ft
12ft x 1.5ft = 18ft
1.5ft x 2ft = 3ft
30 + 24 + 18 + 3 = 75
