Answer:
a) [tex]x = 10^{18}\,\mu m^{2}[/tex], b) [tex]x = 10^{18}[/tex], c) [tex]x = 10^{21}\,\mu m^{2}[/tex], d) [tex]x = 10^{21}[/tex], e) [tex]x = \frac{1}{10^{21}}[/tex], f) [tex]x = 10^{3}\,nm^{2}[/tex], g) [tex]x = 10^{3}\,nm^{2}[/tex]
Step-by-step explanation:
a) The product of one terameter and one micrometer is:
[tex]x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{6}\,\frac{\mu m}{m} ) \cdot (1\,\mu m)[/tex]
[tex]x = (10^{18}\,\mu m)\cdot (1\,\mu m)[/tex]
[tex]x = 10^{18}\,\mu m^{2}[/tex]
b) The quotient of one terameter and one micrometer is:
[tex]x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{6}\,\frac{\mu m}{m} )}{1\,\mu m}[/tex]
[tex]x = \frac{10^{18}\,\mu m}{1\,\mu m}[/tex]
[tex]x = 10^{18}[/tex]
c) The product of terameter and one nanometer is:
[tex]x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{9}\,\frac{nm}{m} ) \cdot (1\,nm)[/tex]
[tex]x = (10^{21}\,nm)\cdot (1\,nm)[/tex]
[tex]x = 10^{21}\,\mu m^{2}[/tex]
d) The quotient of one terameter and one nanometer is:
[tex]x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}{1\,nm}[/tex]
[tex]x = \frac{10^{21}\,nm}{1\,nm}[/tex]
[tex]x = 10^{21}[/tex]
e) The quotient of one nanometer and one terameter is:
[tex]x = \frac{1\,nm}{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}[/tex]
[tex]x = \frac{1\,nm}{10^{21}\,nm}[/tex]
[tex]x = \frac{1}{10^{21}}[/tex]
f) The quotient of one nanometer and one micrometer is:
[tex]x = \frac{1\,nm}{(1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )}[/tex]
[tex]x = \frac{1\,nm}{10^{3}\,nm}[/tex]
[tex]x = \frac{1}{10^{3}}[/tex]
g) The product of one nanometer and one micrometer is:
[tex]x = (1\,nm)\cdot (1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )[/tex]
[tex]x = 10^{3}\,nm^{2}[/tex]
3. Stan is deciding between patio tiles that are 39 cm by 39 cm and tiles that are 18 cm
by 27 cm. His patio is 3 m by 2.5 m. Considering area only, how many of each type
of tile would he need?
Answer:
Stan needs about 50 of the 39 cm x 39 cm tiles
or about 155 of the 18 cm x 27 cm tiles
Step-by-step explanation:
Since we are asked to consider only matters of area, we need to calculate first, the area of the patio:
Patio area = 3 m x 2.5 m = 7.5 m^2
Now we consider what surface (in square meters - m^2) each type of tiles cover:
a) for the 39 cm x 39 cm tiles: 0.39 m x 0.39 m = 0.1521 m^2
b) for the 18 cm x 27 cm tiles: 0.18 m x 0.27 m = 0.0486 m^2
Therefore, to cover the area of the patio, the number of tiles type "a" needed is given by the quotient:
7.5 m^2 / 0.1521 m^2 = 49.3096 (about 50 tiles)
while for type "b" tiles the quotient gives:
7.5 m^2 / 0.0486 m^2 = 154.32 (about 155 tiles)
PLZZZ DO THE PROBLEM THAT HAS THE ORANGE RECTANGLE PLZZZZZZZZZZZ!!!!!!
I WILL GIVE BRAINLIEST AND 10 MORE POINTS!!!!!
Answer:
8 units = L
Step-by-step explanation:
The area of a rectangle is the product of length and width.
A = L*W
If A = 56 units^2 and W = 7 units, then L = (56 units^2) / (7 units) = 8 units = L
please help for brainliest
Answer:
A=314.16cm2
Step-by-step explanation:
A=πr2 this is the formula
Answer:
3.142cm^2
Step-by-step explanation:
A=πr^2
A=3.142×10^2
A=3.142×100cm^2
A=314.2cm^2
pls answer this question for the 5-star rating
Answer:
B(3,3)
Step-by-step explanation:
Midpoint = (2,5)
A = (x₁,y₁) = (1,7)
M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2})[/tex]
M(2,5) = [tex](\frac{1+x2}{2} , \frac{7+y2}{2} )[/tex]
Writing the equations separately for convenience
1) [tex]\frac{1+x2}{2} = 2[/tex]
=> 1+x2 = 4
=> x₂ = 3
2) [tex]\frac{7+y2}{2} =5[/tex]
=> 7+y2 = 10
=> y₂ = 3
So, the coordinate is,
B = (x₂,y₂) = (3,3)
Answer:
(3,3)
please see the attached picture for full solution
hope it helps..
Good luck on your assignment
The bill for a meal was $33.75. The customer left $40.00. What percentage of the bill was the tip?
Answer:
It was a 18.5% Tip
If bill for a meal was $33.75. The customer left $40.00. then 15.625 % is the percentage of the bill was the tip
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The bill for a meal was $33.75.
The customer left $40.00.
We need to find the percentage of tip left on the bill.
40-33.75
6.25
Now we need to find 6.25 is what percentage of 40
40x=6.25
x=6.25/40
x=0.15625
Now multiply with 100
0.156×100=15.625
Hence, 15.625 is the percentage of the bill was the tip.
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Number 2 and 3 please help me please I really need help I need help
Answer:2) 20cm
3) 90m
Step-by-step explanation: 2) 10x2=20cm
3) 35x2=70, 20x2=20, 70+20= 90m
Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + b^2/4a=a(x^2+b/ax+b^2/4a^2 step4a: -c+b^2/4a=a(x+b/2a)^2 step4b: -4ac/4a+b^2/4a=a(x+b/2a)^2 Which best explains or justifies Step 4b? factoring a polynomial multiplication property of equality converting to a common denominator addition property of equality
Answer:
(C)Converting to a common denominator
Step-by-step explanation:
Given some of the steps in the derivation of the quadratic formula below:
[tex]\text{Step 3:} -c + \dfrac{b^2}{4a}=a(x^2+ \dfrac{b}{a}x+ \dfrac{b^2}{4a^2})\\\\\text{Step 4a:} -c + \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2\\\\\text{Step 4b:} \dfrac{-4ac}{4a}+ \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2[/tex]
Step 4b is derived from Step 4a by converting the left-hand side to a common denominator 4a.
Therefore, that which best explains or justifies Step 4b is:
(C)Converting to a common denominator
Answer:
C
Step-by-step explanation:
lol
What is the surface area?
22 yd
25 yd
17 yd
Answer:
2698 yd^2
Step-by-step explanation:
2·(22x25 + 22x17 + 25x17) = 2698 yd^2
SA = 2(LW) + 2(LH) + 2(HW)
Let L = Length
Let W = Width
Let H= Height
the points 4, 8 and 0, 0 fall on a particular line what is its equation in slope intercept form
Answer:
Y=2x
Step-by-step explanation:
Slope is represented by rise/run
Here if is 8/4 = 2
The intercept is 0 since (0,0) lies on the line
So the slope intercept form is
y = 2x
Answer:
y=2x
Step-by-step explanation:
intercept is 0 as one point is (0,0)
Slope is 2 as 8/4= 2
function is then:
y=2x
Simplify fully
6x2 +x–1 4x2 – 1
Answer:
3x−1
Step-by-step explanation:
1 Split the second term in 6{x}^{2}+x-16x
2
+x−1 into two terms.
\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}
4x
2
−1
6x
2
+3x−2x−1
2 Factor out common terms in the first two terms, then in the last two terms.
\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}
4x
2
−1
3x(2x+1)−(2x+1)
3 Factor out the common term 2x+12x+1.
\frac{(2x+1)(3x-1)}{4{x}^{2}-1}
4x
2
−1
(2x+1)(3x−1)
4 Rewrite 4{x}^{2}-14x
2
−1 in the form {a}^{2}-{b}^{2}a
2
−b
2
, where a=2xa=2x and b=1b=1.
\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}
(2x)
2
−1
2
(2x+1)(3x−1)
5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a
2
−b
2
=(a+b)(a−b).
\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}
(2x+1)(2x−1)
(2x+1)(3x−1)
6 Cancel 2x+12x+1.
\frac{3x-1}{2x-1}
2x−1
3x−1
There are 12 horses competing in a show. In how many ways can the blue, red, and yellow ribbons be awarded?
Answer
Answer:
There are 12 choices for the blue ribbon, 11 choices for the red and 10 choices for yellow so the answer is 12 * 11 * 10 = 1320.
It takes Virginia 9 minutes to ride her skateboard 3 blocks.
Using this unit rate, how many minutes will it take Virginia to ride her skateboard 1 block?
Answer:
3 minutes
Step-by-step explanation:
We can use ratios to solve
3 blocks 1 block
----------------- = --------------
9 minutes x minutes
Using cross products
3 * x = 9*1
3x = 9
Divide each side by 3
3x/3 = 9/3
x = 3
So the right answer is 3.
please see the attached picture for full solution
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Good luck on your assignment
which choice is equivalent to the expression below ? sqrt -12
The expression that is equivalent to √-12 is √12i
What are complex numbers?In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation[tex]i^{2}=-1}[/tex] every complex number can be expressed in the forma + bi, where a and b are real numbers.
Given here, √-12= √12×√-1
= √12i
Hence, The expression that is equivalent to √-12 is √12i
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Liner equation Melissa and Jane are planting trees Melissa plants 10 tree in 1 hour Jane plants 17 trees in 2 hours enter an equation that can be used to find the number of hours t t takes Melissa and Jane to plant 111 trees together
Answer:
6 hours
Step-by-step explanation:
What we must do is calculate the speed of each one,
Melissa in one hour plants 10 trees, that is 10/1 is her speed.
Jane in two hours plants 17 trees, that is 17/2 is her speed.
Now, we want to know the time it takes to plant 11 trees, so the sum of the previous speeds is equal to 111 / x
10/1 + 17/2 = 111 / x
18.5 = 111 / x
x = 111 / 18.5
x = 6
Which means that in 6 hours between the two they can plant 111 trees
What is the slope of the function
Answer:
The slope of any equation that is in the form of y = mx + c is the m
Step-by-step explanation:
If you want to know a certain slope. Please provide the equation
[tex]y=mx+b[/tex]
[tex]m[/tex] is the slope.
[tex]m=y_{2} -y_{2}/x_{2}-x_{1}[/tex]
The table says:
[tex]x : -4 , -2 , 0 , 2 , 4\\ y : -16 , -6 , 4 , 14 , 24[/tex]
[tex]m=-6 --16/-2--4[/tex]
[tex]m=10/2[/tex]
[tex]m=5[/tex]
help meh fvghdbskjwdjcbhfvdcbjskalm
Answer:
D
Step-by-step explanation:
Proportional relationships go through the origin on the graph so we can eliminate A and B. Also the x and y coordinates have the same ratio so the answer is D because 2:3 = 4:6 = 8:12 = 12:18.
a square has a diagonal of 16 yards. Find it’s perimeter
Answer:
45.25 yards
Step-by-step explanation:
2x2 + 7x + 3 = 0 i need help
Answer:
[tex]x=-\frac{1}{2},-3[/tex]
Step-by-step explanation:
Answer:x=-3,-1/2
Step-by-step explanation:
Multiply 2and 3=6
Multiples are 6an1
2x2+x+6x+3=0
X(2x+1)+3(2x+1)=0
(X+3)+(2x+1)=o
X+3=0 x=-3
2x+1=0 x=-1/2
Someone help me with #2 and #3
Answer:✈️✈️?
Step-by-step explanation:
Answer:
#2=-.05 #3=8
Step-by-step explanation:
use pemdas correctly and you will always get the right answer
What is the length of the hypotense,c?
26 m
29 m
34 m
36 m
Answer:
Choice C
Step-by-step explanation:
Using the Pythagorean theorem, you can find that the length of the hypotenuse is:
[tex]\sqrt{3^2+5^2}=\\\\\sqrt{9+25}=\\\\\boxed{\sqrt{34}}[/tex]
Hope this helps!
Answer:
[tex]c=\sqrt{34}[/tex]
Step-by-step explanation:
Using the Pythagorean theorem (a^2 + b^2 = c^2), you can find the hypotenuse
Begin by plugging in 3 into a and 5 into b.
3^2 + 5^2 = c^2
9 + 25 = c^2
34 = c^2
Then, take the square root of both sides.
[tex]\sqrt{34} =\sqrt{c^{2} }[/tex]
[tex]c=\sqrt{34}[/tex]
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6
Answer:
6
_____________________
Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown. A rectangle is shown. The length of the top and bottom sides are 8 feet, and the length of the left and right sides are 12 feet. A diagonal that is 14 feet long is drawn from the bottom one corner of the rectangle to the other corner of the rectangle. Points X and C are opposite to the diagonal. If the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox? a rectangle, because angle C is a right angle a rectangle, because angle C and angle X are congruent a quadrilateral, because angle C and angle X are acute a quadrilateral, because angle C and angle X are obtuse
Answer:
C) a quadrilateral, because angle C and angle X are acute
Step-by-step explanation:
It is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. It has two pairs of congruent sides and one pair of opposite congruent angles.
From the Pythagoras theorem:
[tex]14^2=12^2+8^2[/tex]
196 ≠ 208
The angles C and X are not right angles since angles C and X are congruent and acute angles.
Thus, it is a quadrilateral because angle C and angle X are acute angles and not right angles option third is correct.
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Terry makes $2400 per month in gross income. His net earnings are 80% of his gross. His utility bills total $150. What percentage of Terry's net earnings is he spending on utilities?
Answer:
7.81%
Step-by-step explanation:
First, you have to calculate the net earnings by calculating the 80% of the gross income:
gross income= $2,400
net earnings= $2,400*80%= $1,920
Then, you have to calculate the percentage that represents the utility bills spending from the net earnings by dividing $150 by the net earnings and multiplying for 100:
($150/$1,920)*100= 7.81%
According to this, the answer is that 7.81% of Terry's net earnings are spent on utilities.
Answer:
7.8
Step-by-step explanation:
A bag contain 6 red and 5 green identical balls.
Two ball are draw at random one after the
other without replacement. What is the
probability that both balls are of the same
colour
Answer:
3/11 for two red balls
2/11 for two green balls
Step-by-step explanation:
6 red and 5 green balls
first ball - red= 6/11, green= 5/11second red ball- 5/10=1/2, second green ball- 4/10= 2/5Two red balls = 6/11*1/2= 3/11Two green balls= 5/11*2/5= 2/11Answer:
3/11
2/11
Step-by-step explanation:
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
economy class = 260
business class = 100.
Step-by-step explanation:
for every 13 economy seats, there are 5 business class seats
EC = 13
BC = 5
ADD to get total = 18
divide 360 by 18 to get the number of groups created.
you get 20.
multiply 20 by each class seats
13 by 20 = 260
5 by 20 = 100
you can confirm by adding the seats to see if you will get 360.
for the Black Panther trip 420 students were scheduled to go. After selecting more parents surveys 15% more students are going on the trip each Administration ticket cost 22.75 dollars what was the total amount pay for all the tickets purchased
Answer: $10988.25
Step-by-step explanation:
From the question, we are told that for the Black Panther trip 420 students were scheduled to go and 15% more students were selected. This means that the total number of students that are going will be:
= 420 + (15% × 420)
= 420 + (0.15 × 420)
= 420 + 63
= 483 students
Since each administration ticket cost 22.75 dollars. The total amount paid for all tickets purchased will be:
= 483 × $22.75
= $10988.25
The present age of Joyal’s mother is three times the present age of joyal. After 5 years their ages will add up to 66. Find their present age
Answer:
The present age of Joyal is 14 years.
The present age of Joyal's mother is 42 years
Step-by-step explanation:
Let J denotes the age of Joyal
Let M denotes the age of Joyal's mother
The present age of Joyal’s mother is three times the present age of joyal.
Mathematically,
M = 3J
After 5 years their ages will add up to 66
Mathematically,
(M + 5) + (3J + 5) = 66
M + J + 10 = 66
M + J = 66 - 10
M + J = 56
But we know that M = 3J
3J + J = 56
4J = 56
J = 56/4
J = 14 years
So the present age of Joyal is 14 years.
M = 3J
M = 3(14)
M = 42 years
So the present age of Joyal's mother is 42 years.
Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).
Answer:
-3
Step-by-step explanation:
[tex]f(0)=0^2=0 \\\\g(0)=0-3=-3[/tex]
Hope this helps!
Brainliest question please help me please
9514 1404 393
Answer:
34.44
Step-by-step explanation:
The distance formula can help you find the lengths of the diagonal sides.
d = √((x2 -x1)^2 +(y2 -y1)^2)
DO = √((6 -0)^2 +(0 -7)^2) = √(36 +49) = √85
OG = √((3 -6)^2 +(-4 -0)^2) = √(9 +16) = 5
The length of NG is 3 -(-3) = 6.
The perimeter is the sum of the side lengths:
P = DI +IN +NG +GO +OD = √85 +5 +6 +5 +√85 = 16 +2√85
P ≈ 34.43909 ≈ 34.44 . . . units
If angle X has a measure of 40 degrees and angle Y is vertical to angle X, what is the measure of angle Y? Show your work and explain how to solve.
Answer:
Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.
Answer:
50
Step-by-step explanation:
its simple just the degrees is equal orr close to that
