Answer:
2.03% of 0.045=0.0009135
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 0.045 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.045 is 100%, so we can write it down as 0.045=100%.
4. We know, that x is 2.03% of the output value, so we can write it down as x=2.03%.
5. Now we have two simple equations:
1) 0.045=100%
2) x=2.03%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.045/x=100%/2.03%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 2.03% of 0.045
0.045/x=100/2.03
(0.045/x)*x=(100/2.03)*x - we multiply both sides of the equation by x
0.045=49.261083743842*x - we divide both sides of the equation by (49.261083743842) to get x
0.045/49.261083743842=x
0.0009135=x
x=0.0009135
Answer:
0.09135
Step-by-step explanation:
when it says "of" a number, you simply multiply them
el valor númerico del término n=15 de la sucesión 5 20 80... es?
Answer:
É 5x3=15
Step-by-step explanation:
PLEASE HELP ME WITH GEOMETRY
What composition of rigid motions maps STR to MNP?
Answer:
first option
Translate seven left followed by mirror over y = 2
Step-by-step explanation:
The solution is Option A.
The translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along R = 2
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the triangle be represented as MNP
Now , the transformed triangle be STR
Now , the translation is given as
Step 1 :
The coordinates of triangle is MNP
M = M (-5 , 2 )
N = N ( - 8 , 5 )
P = P ( -2 , 4 )
Now , the translation of 7 units to the right will result in
M' = M' ( 2 , 2 )
N' = N' ( -1 , 5 )
P' = P' ( 5 , 4 )
Step 2 :
The coordinates of the translated triangle M'N'P' is
M' = M' ( 2 , 2 )
N' = N' ( -1 , 5 )
P' = P' ( 5 , 4 )
Now , on reflection of triangle M'N'P' by R = 2 , we get
S = S ( 2 , 2 )
T = T ( -1 , -1 )
R = R ( 5 , 0 )
Hence , the translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along the R = 2
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What is the greatest possible error for a measurement of 2 fluid Ounces?
Answer:
2.35
Step-by-step explanation:
2 x 2 eqaul 9 times 2
please help me im giving brainliest
Step-by-step explanation:
49² + 98 + 1 compared to a² + 2ab + b² means that
a = 49
b = 1
as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1
so, we have actuality
(49 + 1)² = 50² = 2500
Answer:
49² + 98 + 1 compared to a² + 2ab + b² means that
a = 49
b = 1
as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1
so, we have actuality
(49 + 1)² = 50² = 2500
Step-by-step explanation:
2/5 of 40 I need help
Answer:
32. A.
Step-by-step explanation: because i did 4/5 of 40 and got 32.
A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit.
How many \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?
now, we're assuming that the prism has a volume of 10³ and is filled with cubes of sides 1/2 long, Check the picture below.
now notice the bottom-right part of the picture, if we put two small cubes next to each other, they add up to 1, so to get 10 units from that, we'll need 20 of those halves, or 20/2 = 10, meaning we'll need 20 cubes side by side to make a length of 10 horizontally.
The same will be true for getting cubes to make up 10 vertically, we'll need 20, the same is true to fill up from back to front, we'll need 20 cubes.
so we can say that the rectangular prism will need 20 cubes from front to back, 20 horizontally and 20 vertically, that'll be 20*20*20 cubes, or 20³ or 8000 cubes.
mind you that we used a Cube for the prism, but the same will be true if we were to rearrange the cubes and make the prism taller or wider, same 8000 cubes will fill it in.
This 3 by 3 grid shows nine 1 cm x 1cm squares and uses 24 cm of wire.
What length of wire is required for a similar 20 by 20 grid?
A 400 cm B 420 cm C 441 cm D 800 cm E 840 cm
Answer:
E 840 cm
Step-by-step explanation:
For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...
(20 cm)(2 × 21) = 840 cm
_____
Additional comment
In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.
In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).
flying against the wind, an airplane travels 5220 kilometers in 9 hours. flying with the wind, the same plane travels 6560 kilometers in 8 hours. what is the rate of the plane in still air and what is the rate of the wind?
a.
The rate of the plane in still air is 700 km/h
Let V = rate of plane in still air and v = rate of wind.
When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time
(V - v) × 9 = 5220
V - v = 5220/9
V - v = 580 (1)
Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time
(V + v) × 8 = 6560
V + v = 6560/8
V + v = 820 (2)
Adding equations (1) and (2), we have
V - v = 580 (1)
+
V + v = 820 (2)
2V = 1400
V = 1400/2
V = 700 km/h
So, the rate of the plane in still air is 700 km/h.
b.
The rate of the wind is 120 km/h
Substituting V into (1), we have
V - v = 580 (1)
700 - v = 580
v = 700 - 580
v = 120 km/h
So, the rate of the wind is 120 km/h
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Please help with this question please and thank you
Answer:
I need help with this too!!!
Step-by-step explanation:
Answer:
what does it mean?
Step-by-step explanation:
I do not understand.
Wite a numerical expression for the below problems. Simplify the expressions.
Multiply six times three then divide by lwo
The quotient of twelve and two subiracled from thirty-six
Answer:
1) 9
2) 34
Step-by-step explanation:
For the first one, it would be
= (6×3)/2
= 18/2
= 9
The second one is,
= 36- (12/6)
= 36 - 2
= 34
Which of these is a ratio table?
A
1
2.
3
o ono
WON
B.
5
6
7
A
1
2
3
chAUD
B
4
5
7
WN
B
A
1
2
3
COA
4
9
А
1
2
3
B
2.
4
6
ANUD
INI
Answer:
The last one
Step-by-step explanation:
A ratio table means that each number in the first column is multiplied by the same number to get the answer in the 2nd column
Which list of angle measures could be the angle measures of a triangle?
Answer:
D. 35, 60, 85
Step-by-step explanation:
All angles of a triangle have to add up to 180 degrees.
35+60+85 = 180
Steve checked out a book and a video from the local library. They were three days overdue when he returned them. The fine was 15 cents for each day the book was overdue, and 25 cents for each day the video was overdue. How much did Steve owe?
Answer:
1.20 or 120 cents
Step-by-step explanation:
First, we need to calculate the total due for the book. 15 cents(3 days) = 0.45
Next, we need to calculate the total due for the video. 25 cents(3days) =0.75
0.75+0.45=1.2 dollars, or 120 cents
Help help help math math math
Answer:
yes this right cuz ye or nah?
Step-by-step explanation:
yes cuz 0 1 2 3 4 5 6 7 8 9 are the numbers
Answer: [?] is 6
Step-by-step explanation:
x=5
so, 2x=10
10-4 is 6
PLEASE HELP QUICK!
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
ASA
Step-by-step explanation:
Angle marked the same way are congruent, so the two triangles have a side in common and the two adjacent angles congruent, so it's ASA
Answer:
The answer is Option B.) ASA
Explanation:
With the ASA rule, all triangles are congruent.
integrate (1-x³)² with respect to x
Answer:
Start off by expanding the square:
x^6 -2x³ + 1.
Now, we can integrate it in dx:
∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.
That's the result!
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^3)^2dx[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^6+2x^3)dx[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^{6+1}}{6+1}+2\dfrac{x^{3+1}}{3+1}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+2\dfrac{x^4}{4}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+\dfrac{x^4}{2}[/tex]
-4(-2u+3)-u=3(u-7)-5
where you simplify your answer as much as possible
Answer:
-7/2
Step-by-step explanation:
-4(-2u+3)-u=3(u-7)-5
8u-12-u=3u-21-5
8u-u-12=3u-26
7u-12=3u-26
7u-3u-12=-26
4u-12=-26
4u=-26+12
4u=-14
u=-14/4
simplify
u=-7/2
Answer:
u = - 3.5
Step-by-step explanation:
Before solving this you have to know that,
(-) × (-) = (+)
(-) × (+) = (-)
(+) × (+) = (+)
Let us solve now.
[tex]-4(-2u+3)-u=3(u-7)-5[/tex]
[tex]8u-12-u=3u-21-5[/tex]
[tex]7u-12=3u-26[/tex]
[tex]7u-3u=12-26[/tex]
[tex]4u=-14[/tex]
[tex]\frac{4u}{4} = \frac{-14}{4}[/tex]
[tex]u=-3.5[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
f(-3)= 1
f(1)= -1
If f(x)= -2 then x = 3
If f(x) = 2 then x = -5
Step-by-step explanation:
f(x) can be replaced with any number. It just means y. For example, let's replace the (x,y) with the (-5,2). For this point, this is f(-5) = 2. When they ask for f(x), they are just asking what y is with a given coordinate x. So when they ask what f(-3) is, they are asking what y is with -3 being the x coordinate.
So, f(-3) = 1
f(1) = -1
For these questions:
If f(x) = -2 then x = ?
If f(x) = 2 then x = ?
They are asking what x is when y is -2 or 2. So here:
If f(x) = -2 then x = 3
If f(x) = 2 then x = -5
If [tex]a + ar + ar^{2} + ... = 15[/tex] and [tex]a + ar^{2} + ar^{4} + ar^{6} + ... = 9[/tex], then what is the sum of the geometric series [tex]a + ar^{3} + ar^{6} + ar^{9} + ...[/tex]?
Notice that
a + ar³ + ar⁶ + ar⁹ + ... = a + r³ (a + ar³ + ar⁶ + ...)
but the grouped sum on the right side is the same as the sum on the left side. This means that, if the sum we want to compute
a + ar³ + ar⁶ + ar⁹ + ...
converges to S, then
S = a + r³ S
Solve for S :
S - r³ S = a
(1 - r³) S = a
S = a/(1 - r³)
Similarly, knowing the value of the first sum, we have
a + ar + ar² + ar³ + ... = a + r (a + ar + ar² + ...)
but we know
a + ar + ar² + ... = 15
so
15 = a + 15r
and knowing the value of the second sum, we have
a + ar² + ar⁴ + ... = a + r² (a + ar² + ar⁴ + ...)
so
9 = a + 9r²
Solve these two equations for a and r :
15 = a + 15r ⇒ a = 15 - 15r
9 = a + 9r² ⇒ 9 = 15 - 15r + 9r² ⇒ 3r² - 5r + 2 = (3r - 2) (r - 1) = 0
⇒ r = 2/3 or r = 1
We cannot have r = 1, since that would mean
a + a + a + ... = 15
since the left side is adding infinitely many copies of some constant; such a sum can never converge to a finite number. So it must be that r = 2/3, and it follows that a = 15 - 15 (2/3) = 5.
Then the sum we want has a value of
S = 5/(1 - (2/3))³ = 135/19
Answer:
Step-by-step explanation:
a + ar¹ + ar² + ar³ + ... = 15 #1
r(a + ar¹ + ar² + ar³ + ...) = 15r
ar¹ + ar² + ar³ + ... = 15r #2
subtract #2 from #1
a = 15 - 15r
a + ar² + ar⁴ + ar⁶ + ... = 9 #3
r²(a + ar² + ar⁴ + ar⁶ + ... )= 9r²
ar² + ar⁴ + ar⁶ + ... = 9r² #4
subtract #4 from #3
a = 9 - 9r²
15 - 15r = 9 - 9r²
9r² - 15r + 6 = 0
3r² - 5r + 2 = 0
r = (5 ±√(5² - 4(3)(2))) / (2(3)
r = (5 ± 1) / 6
r = 1
or
r = 4/6 = 2/3
if r = 1 then a = 15 - 15(1) = 0 and a series of zeros added together can never equal 15 so r = 2/3 must be true.
a = 15 - 15(2/3) = 5
a + ar³ + ar⁶ + ar⁹ + ... = C #5
r³(a + ar³ + ar⁶ + ar⁹ + ...) = Cr³
ar³ + ar⁶ + ar⁹ + ... = Cr³ #6
subtract #6 from #5
a = C - Cr³
a = C(1 - r³)
C = a/(1 - r³)
C = 5/(1 - (2/3)³)
C = 5/(1 - 8/27)
C = 5/(19/27)
C = 5(27/19)
C = 135/19 = 7.1052631578947368....
What is it okzzzzzzzzzzzzZ
Answer:
2
Step-by-step explanation:
the coefficient is the number in front of the variable (the number being multiplied by the variable).
Need some help in this please
Answer:
∠GHD is 85°
Step-by-step explanation:
180°-95°
85°
Write a word phrase to represent the numerical expression below.
(7-3) ÷ 2
Answer:
the quantity seven minus three divided by two
Step-by-step explanation:
its math
How would you find the average rate of change between two points
on a curve?
Answer:
For a function, it is the change in the y-value divided by the change in the x-value for two distinct points on the graph
Step-by-step explanation:
Answer:
i think that you can find the average rate of change between 2 points on a curve by dividi the change in the output value (Y) by the change in the input value (X)
Step-by-step explanation:
Write the equation in standard form y=-x+1
Answer:
x+y=1
Step-by-step explanation:
The Linear Equation Standard Form is = ax+by=c.
Given y=-x+1, we will use Algebra to convert the equation from slope-intercept form to standard form:
x+y=-x+x+1
We added x to both sides to cancel out and move the -x.
x+y=1 is the answer.
add r to s, double the result, then multiply what you have by t
Answer:
(rs2) x t
Step-by-step explanation:
r+s=rs
rsx2=rs2
(rs2)xt
Answer:
2t(s+r)
Step-by-step explanation:
Add r to s
s+r
Double the result
2(s+r)
Multiply what you have by t
2t(s+r)
Do not round the answer
Answer:
75.36
Step-by-step explanation:
Using the formula C = 2πr, we can calculate circumference.
Since we are using 3.14 for π, we plug that and the radius in.
C = 2(3.14)(12).
When you multiply all that you get 75.36
Determine the value of the unknown
0 - e = 5
WILL GIVE BRAINLYEST
PLZ HELPPP MEEEE
The height of a ball when it is thrown off a cliff can be represented by the equation $h=45-7t-6t^2$, where $t$ is time in seconds. In how many seconds will the ball reach a height of 25 feet?
You want to find t such that
45 - 7t - 6t² = 25
or
6t² + 7t = 20
Solve for t. By completing the square, we have
6t² + 7t = 20
t² + 7/6 t = 10/3
t² + 7/6 t + (7/12)² = 10/3 + (7/12)²
(t + 7/12)² = 529/144
t + 7/12 = ± 23/12
t = -7/12 ± 23/12
t = -5/2 or t = 4/3
We ignore the negative solution, so the ball reaches a height of 25 feet at t = 4/3 seconds, or about 1.33 seconds after being thrown.
How do you turn a 5:1 ratio into a fraction
Answer:
[tex]\frac{5}{1}[/tex] is the same as 5:1
which value is NOT equivalent to the others 3^4 3+3+3+3 3^2x 3^2 3x3x3x3
Answer:
3+3+3+3
Step-by-step explanation:
Hopefully I didn't get confused
3^4 vs 3+3+3+3 vs (3^2)(3^2) vs 3x3x3x3
Well the best way to do it is to do each
3^4=81
3+3+3+3=12
3^(2+2)=81
3x3x3x3=81
Therefore 3+3+3+3 is not equilvilent