We must understand that certain standards has been layed down for the conversions of measuring units. A summary of such standards are discussed below:
1. Option A. 1 L = 1 dm³
2. Option A. 1 mL = 1 cm³
3. Option B. 0 K = −273 °C
4. Option B. 1000 g = 1 kg
5. Option A. 400 cm = 4.0 m
6. Option B. 1 dm = 0.10 m
7. Option A. 100°C = 373 K
1. Option A. 1 L = 1 dm³
Option B. 1 L = 1 cm³
From standard measurement,
1 L = 1 dm³
1 L = 1000 cm³
From the measuring standard, we can see that 1 L ≠ 1 cm³.
Hence, option A gives the correct answer.
2. Option A. 1 mL = 1 cm³
Option B. 1 cm³ = 1 L
Hence, option A gives the correct answer.
From standard measurement,
1 mL = 1 cm³
1000 cm³ = 1 L
Thus, option A gives the correct answer.
3. Option A. 0°C = –273 K
Option B. 0 K = −273 °C
Recall:
T (K) = T(°C) + 273
T (K) = Temperature in Kelvin
T(°C) = Temperature in decree celcius
Next, we shall convert 0°C to K
T(°C) = 0°C
T (K) = T(°C) + 273
T (K) = 0 + 273
T (K) = 273 K
Thus, 0°C is equivalent to 273 K
Next, we shall convert 0 K to °C
T(K) = 0
T (K) = T(°C) + 273
0 = T(°C) + 273
Collect like terms
0 – 273 = T(°C)
T(°C) = –273°C
Thus, 0 K is equivalent to –273°C
Therefore, option B gives the correct answer.
4. Option A. 1 kg = 100 g
Option B. 1000 g = 1 kg
From standard measurement,
1 Kg = 1000 g
1000 g = 1 Kg
Hence, Option B gives the right answer
5. Option A. 400 cm = 4.0 m
Option B. 400 cm = 0.40 m
From standard measurement,
100 cm = 1 m
Converting 400 cm to m, we have:
[tex]400 cm = 1 m\\400 cm = \frac{400 cm * 1 m }{100 cm}\\400 cm = 4 m[/tex]
Thus, option A gives the correct answer.
6. Option A. 1 dm = 10 m
Option B. 1 dm = 0.10 m
From standard measurement,
10 dm = 1 m
Thus,
[tex]1 dm = \frac{1 dm * 1 m}{10 dm}\\1 dm = 0.1 m[/tex]
Therefore, option B gives the correct answer.
7. Option A. 100°C = 373 K
Option B. 373 K = 10°C
Recall:
T (K) = T(°C) + 273
T (K) = Temperature in Kelvin
T(°C) = Temperature in decree celcius
Next, we shall convert 100°C to K
T(°C) = 100°C
T (K) = T(°C) + 273
T (K) = 100 + 273
T (K) = 373 K
Thus, 100°C is equivalent to 373 K
Next, we shall convert 373 K to °C
T(K) = 373
T (K) = T(°C) + 273
373 = T(°C) + 273
Collect like terms
373 – 273 = T(°C)
T(°C) = 100°C
Thus, 373 K is equivalent to 100°C
Therefore, option A gives the correct answer.
SUMMARY:
1. Option A. 1 L = 1 dm³
2. Option A. 1 mL = 1 cm³
3. Option B. 0 K = −273 °C
4. Option B. 1000 g = 1 kg
5. Option A. 400 cm = 4.0 m
6. Option B. 1 dm = 0.10 m
7. Option A. 100°C = 373 K
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What quantity of parsley would you need to make 5 times as much as the original recipe?
Find the largest prime factor of 18! + 19! + 20!
Answer: Prime Factors for 18: 2, 3, and 3
Prime Factors for 19: 19
Prime Factors for 20: 2, 2, and 5
Can you mark brainlest
Step-by-step explanation:
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). What is the valid UPC? *)
A) 3-25866-53590-5
B) 3-25866-53590-0
C) 1-25866-53590-0
D) 5-35900-32586-6
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.
It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.
the last digit is used to check the integrity of the UPC and is known as a check digit.A specific algorithm based on the odd and even number of the previous 11 digits determines the last number, which is used to confirm the validity or integrity of the UPC.A UPC can be validated with a manual calculation:
Given :
UPC = 3-25866-53590-5/0
=> Step 1: Add the digits at odd positions.
3 + 5 + 6 +5 + 5 + 0 = 24
=> Step 2: Multiply the number obtained in steps 1 by 3.
24*3 = 72
=> Step 3: The digits at even positions have to be added except check digit
2 + 8 + 6 +3 +9 = 28
=> Step 4: Add the numbers obtained in Step 2 and step 3.
72+ 28 = 100
=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.
Here 100 will be subtracted from 110.
110 - 100 = 10
the last digit will be 0,
Thus, the correct option is B. 3-25866-53590-0.
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The expression 13.25×5+6.5 gives the total cost in dollars of renting a bicycle and helmet for 5 days. The fee for the helmet does not depend upon the number of days.
Answer:
13.25×5+13, cost per day with a helmet.
Step-by-step explanation:
Numerical Expressions • Practice
Answer:
13.25×5+13, Per day without a helmet
Step-by-step explanation:
You can
Figure A to map it onto Figure Din a single transformation."
1.answers
2.rotate
3.reflect
4.translate
5.dilate
Answer: a
Step-by-step explanation:
5(^ 1/5 +-4) 2(-4)(-0.8)^ 2
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} \frac{5(\frac{1}{5}+(-4) )}{2\cdot(-4) \cdot (0-0,8)^2} =\frac{^1 \ 5^{ }\!\!\!\!\diagup\cdot \frac{1}{5\!\!\!\!\diagup}-20 }{-8 \cdot 0,64 } = \\\\\\ \frac{-20+1}{-5,12} =\frac{-19}{-5,12} \cdot \frac{25}{25} =\frac{475}{128} =\boxed{\pmb{3\frac{91}{128} }}[/tex]
Given angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
Answer:
y = 3
Step-by-step explanation:
*As seen in the photo, the fact that EF = GF and the bisector being there makes EH = HG.
5y + 10 = 28 - y
*Add y to both sides.
6y + 10 = 28
*Subtract 10 from both sides.
6y = 18
*Divide both sides by 6.
y = 3
In triangle EFG, with angle bisector FH and equal lengths for EF and GF, the value of y is 3.
Use the concept of a triangle defined as:
A triangle is a 3-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Given that,
Angle EFG has an angle bisector FH.
EF = GF (the lengths of the corresponding sides of triangle EFG are equal).
EH = 5y + 10 (length of segment EH).
HG = 28 - y (length of segment HG).
To find the value of y,
Start by applying the angle bisector theorem in triangle EFG.
According to the theorem,
The ratio of the lengths of the segments formed by the angle bisector to the corresponding sides should be equal.
Since EF = GF,
Set up the following equation:
EH / HG = EF / FG
Substituting the given values, we have:
[tex]\dfrac{(5y + 10)}{ (28 - y)} = \dfrac{1} { 1}[/tex]
Cross-multiplying, we get:
5y + 10 = 28 - y
Combining like terms, we have:
6y = 18
Dividing both sides by 6, we find:
y = 3
Therefore, the value of y is 3.
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Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 6.2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 32 = x/ 10
10 tan 32 = x
x=6.24869
Rounding to the nearest tenth
x = 6.2
Answer:
x=6.2 (Rounded to the nearest tenth)
Step-by-step explanation:
This problem gives you an angle(32°), and ask for the dimension of the opposite side to that angle(x), along with another dimension the adjacent side(10).
Since you have the opposite and adjacent sides, you can use tangent. opposite (x) over adjacent (10). Tan(32) =[tex]\frac{x}{10}[/tex]. You want (x) so multiply tan(32) by 10. Then round to the nearest tenth.
Remember to put calculator in degree mode!
tan (32) = 0.6248693519 multiply by ten 6.248693519. Round to nearest 10th 6.2.
Hope this helps!
10.
Define an operation ★ on the set of real numbers as follows:
a ★ b = 0.5ab
If 0.1 ★ b = 10, then evaluate bb.
a. 500
b. 200
c. 20
d. 50
Please explain how you got your answer.
If a ★ b = 0.5ab, then
0.1 ★ b = 0.5 (0.1) b = 0.05b = 10
==> b = 10/0.05 = 200
What is the equation of the graph?
Answer:
[tex]y=2x^2+1[/tex]
Step-by-step explanation:
The general equation for a parabola in vertex form is the following:
[tex]y=a(x-h)^2+k[/tex]
Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,
[tex]y=a(x-h)^2+k[/tex]
Vertex: (0, 1)
[tex]y=a(x-0)^2+1[/tex]
A point on the parabola: (1, 3)
[tex]3=a(1-0)^2+1[/tex]
[tex]3=a1+1\\3 = a + 1\\[/tex]
Inverse operations,
[tex]3=a+1[/tex]
[tex]2 = a[/tex]
Substitute back into the original expression:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=2(x-0)^2+1[/tex]
Simplify to put in standard form:
[tex]y=2(x-0)^2+1[/tex]
[tex]y=2(x)^2+1[/tex]
[tex]y=2x^2+1[/tex]
Find the mean.
20, 5, 45, 90, 60, 45, 30, 10, 20, 45, 15,25
Answer:
34.166
Step-by-step explanation:
Mean=(Sum of all the numbers)/12=410/12=34.166
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}[/tex]
[tex]\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}[/tex]
[tex]\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}[/tex]
[tex]\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 305 + 20 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 325 + 45 + 15 + 25}[/tex]
[tex]\mathsf{= 370 + 15 + 25}[/tex]
[tex]\mathsf{= 385 + 25}[/tex]
[tex]\mathsf{= \bf 410}[/tex]
[tex]\mathsf{= \dfrac{410}{12}}[/tex]
[tex]\mathsf{\dfrac{410}{12} \approx \bf 34.1667}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please helpp!!!!!!!!
Step-by-step explanation:
the answer is in picture
if a car covers 82.5 km in 5.5L of gas, how much distance will it cover in 13.2L of gas?
Answer:
198 KM
Step-by-step explanation:
82.5KM/5.5L= 15KM per liter
13.2 x 15 = 198 KM
How is the product of a complex number and a real number represented on the coordinate plane?
Answer:
A complex number bein scaled by a real number would NOT produce any "rotation" ... "C" should be the answer.
Step-by-step explanation:
The temperature in Miami, Florida Is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor.
3x + 82 = 22
3x + 22 = 82
3x - 22 = 82
3x - 82 = 22
Answer:
the answer is c I believe
Bring the following fraction:
а/a-10
to a denominator of 10-a
Answer:
-a
-------
10-a
Step-by-step explanation:
a
----
a-10
Multiply the top and bottom by -1
-1*a
-------
-1(a-10)
-a
------
-a+10
Rewriting
-a
-------
10-a
Answer:
-a/(10-a)
Step-by-step explanation:
To get from a - 10 to 10 - a, you just have to multiply by -1.
So fi you multiply both the top and bottom by -1, you'd get -a/(10-a).
Any help is very much appreciated!! (:
Answer:
the third option
Step-by-step explanation:
the 5 pounds weight at birth is the starting value.
so, the function needs to have a constant part of at least +5.
and every month 0.5 pounds are added.
that is exactly the situating to use multiplication : weight gain per month times the number of months (plus the starting value of 5 pounds) delivers the weight after a certain number of months.
w = weight after t months
t = number of months measured
Which two of the objects shown below could we slice diagonal to their bases/faces to create ellipse cross-sections (that aren't circles)?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Cone
(Choice B)
B
Cube
(Choice C)
C
Cylinder
(Choice D)
D
Sphere
Answer:
C
Step-by-step explanation:
The cylinder would show an ellipse when cut diagonally. Please Brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
Answer:
7.2
Step-by-step explanation:
Apply Law of Cosines, given that b is 13.5, c is 8.9, and Angle a is 29.
[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos(a) [/tex]
[tex] {a}^{2} = {13.5}^{2} + {8.9}^{2} - 2(13.5)(8.9) \times \cos(29) [/tex]
[tex] {a}^{2} = 182.25 + 79.21 - 240.3 \times 0.8746[/tex]
[tex] {a}^{2} = 182.25 + 79.21 - 210.1711[/tex]
[tex]a = 7.2[/tex]
Answer:
[tex]a\approx7.2[/tex]
Step-by-step explanation:
The given problem presents one with the following information:
Triangle ABCSide (b) has a measure of (13.5)Side (c) has a measure of (8.9)Angle (A) has a measure of (29)To solve this problem, one can use the law of cosines. The law of cosines is a property that can apply to any triangle. This property comes in the form of a formula, which is as follows:
[tex]a^2=\sqrt{b^2+c^2-2bc(cos(A))}[/tex]
Where (a), (b), and (c) are sides of the triangle, and (<A) is the angle opposite the side (a).
Substitute the given information into the formula and solve for the unknown side (a):
[tex]a=\sqrt{b^2+c^2-2bc(cos(A))}[/tex]
[tex]a=\sqrt{(13.5)^2+(8.9)^2-2(13.5)(8.9)(cos(29))}[/tex]
Simplify,
[tex]a=\sqrt{(13.5)^2+(8.9)^2-2(13.5)(8.9)(cos(29))}[/tex]
[tex]a=\sqrt{182.25+79.21-240.3(cos(29))}[/tex]
[tex]a=\sqrt{261.46-240.3(cos(29))}[/tex]
[tex]a=\sqrt{261.46-210.1711}[/tex]
[tex]a=\sqrt{51.2889}[/tex]
[tex]a\approx7.2[/tex]
A retailer bought 1000 glass tumblers at rs 80 each.50 glass tumblers were broken and he sold the rest at Rs 96 each .find his profit or loss percent
Step-by-step explanation:
Soln
Given
Cp of 1 glass tumbler=80.1000
=Rs 80000
Number of broken glass tumbler=50
Number of remaining glass tumbler=1000-50
=950
Sp of one glass tumbler=96
Sp of 950 glass tumbler=96.950
=91200
Now
Sp > Cp so it is profit
Profit%=sp-cp/cp.100
=91200-80000/80000.100
=11200/80000.100
=14%
Answer:
14%profit
Step-by-step explanation:
Cost of 1000 tumblers=1000×80=80,000
50 of them were broken: 1000-50=950
: He sells 950 tumblers of rs.96 each= ( 950×96)
S.P=91200
We can clearly see he gains for rs.11200.
P%=gain/C.P×100
11200×80000×100
=14%
Craig has five weeks to read an 850-page book.
How many pages must Craig read each week to
complete the book before the deadline?
Answer:
170 pages.
Step-by-step explanation:
Craig has to read 850 pages in 5 weeks. If we set up a proportion, we have...
[tex]\frac{850 pages}{5 weeks} =\frac{x pages}{1 week}[/tex]
5x = 850
x = 850 / 5
x = 170 pages.
Hope this helps!
The number of pages Craig must read each week to
complete the book before the deadline is 170 pages.
We have,
Craig has five weeks to read an 850-page book.
We need to find the number of pages Craig must read each week to finish the book before the deadline.
We have,
Craig has five weeks to read an 850-page book.
We can write it as:
5 weeks = 850 pages
We have to find the number of pages in a week.
5 weeks = 850 pages
Dividing both sides by 5.
We get,
5 / 5 weeks = 850 / 5 pages.
1 week = 170 pages.
Thus the number of pages Craig must read each week to
complete the book before the deadline is 170 pages.
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Slope -1/4, passes through (12,-4)
Answer:
y = - [tex]\frac{1}{4}[/tex] x - 1
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (12, - 4) into the partial equation
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - [tex]\frac{1}{4}[/tex] x - 1 ← equation of line
PLEASE HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
A natural number is a positive whole number.
A whole number is a positive number with no fractions or decimals.
A interger is a whole number negative or positive.
A rational number is a number that terminates or continue with repeating digits.
A irrational number is a number that doesn't terminate or continue with repeating digits.
1. Rational Number
2. Natural,Whole,Interger,Rational
3. Whole,Rational,Interger
4. Rational
5.Irrational
6.Rational
7.Natural,Whole,Interger,Rational
8.Interger,Rational
9.Irrational
What did I do wrong??
find the volume of each figure. Round it to the nearest tenth if its necessary.
Answer:
Hello,
Volume= 144 (ft³)
Step-by-step explanation:
As 6²+8²=36+64=100=10², we calculate the area of the right triangle:
6*8/2=24 (ft²)
The high of the prisme is 6 (ft)
Volume= 24*6=144(ft^3)
Answer:
your answer is 144feet
Step-by-step explanation:
144feet
our of 1000 new born
babies, there are 514
boys, what will be the
empirical probability
the newly born baby is
(i) a boy (ii) a girl
Look a view at this picture
38) Paula is making a pair of drapes for her dining room. Each of the four drapery panels, when completed, measures 8 feetlang by 4 feet wide. What is the total area of the four drapery panels?
pls help if I see a off topic answer or a silly joke I will report and make sure u get in trouble so do not joke around.
Answer:
128 ft^2
Step-by-step explanation:
each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128
Simplify 7t · s · 3rt.
Answer:
21 s t^2
Step-by-step explanation:
7t · s · 3rt
Multiply the coefficients
7*3 =21
t*t = t^2
s
Multiply back together
21 s t^2
Can someone please help me?
Answer:
The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5
Step-by-step explanation:
The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)
The slope of line PQ is;
Slope = change in y ÷ change in x = [tex]\frac{6 - 0}{0 -- 3}[/tex] = 2
The product of slopes of two perpendicular lines = -1
Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2
Taking another point (x,y) and point P(-3,0) the equation of line PR is;
Slope = [tex]\frac{y - 0}{x - -3} = -\frac{1}{2}[/tex]
Cross-multiplying gives;
2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5
Problem Solve for t.
2(t+1) = 10
t=4
explanation
2(t+1)=10
2t+2=10
2t=8
t=4
The angle \theta_1θ
1
theta, start subscript, 1, end subscript is located in Quadrant \text{IV}IVstart text, I, V, end text, and \cos(\theta_1)=\dfrac{9}{19}cos(θ
1
)=
19
9
cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 19, end fraction .
What is the value of \sin(\theta_1)sin(θ
1
)sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Express your answer exactly.
\sin(\theta_1)=sin(θ
1
)=sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals
I guess that we know that the angle θ is in the fourth quadrant, and we know that:
cos(θ) = 9/19
now we want to find the value of sin(θ).
To do it, we can remember that for a point (x, y), such that we can define an angle β between the positive x-axis and a ray that connects the origin with the point (x, y), we can write the relations:
tan(β) = x/y
sin(β) = y/√(x^2 + y^2)
cos(β) = x/√(x^2 + y^2)
Because the angle is in the fourth quadrant, we know that:
x > 0
y < 0.
And we also know that:
cos(θ) = 9/19
then we have:
x = 9
√(x^2 + y^2) = √(9^2 + y^2) = √(81 + y^2) = 19
Solving the above equation we can find the value of y, that we need to remember, is negative:
√(81 + y^2) = 19
81 + y^2 = 19^2
y^2 = 19^2 - 81 = 280
y = √280 = -16.7
Now that we know the value of y, we can replace that in the sine equation to get:
sin(θ) = -16.7/19 = -0.879
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