Canceling units is also called:
A: changing the value
B. unit analysis
C. multiplication
D. making connections
Please select the best answer from the choices provided
Answer: B) unit analysis
This is also called dimensional analysis.
Refer to the diagram below for an example. The diagram shows why 3 feet is equal to 36 inches. The "ft" units cancel.
Answer:
unit analysis
Step-by-step explanation:
I need answer asap pls help
Answer: A= (3,-3) . B(4,1). C= (1,0)
Step-by-step explanation:
I am stuck on how to solve this problem. Any help is appreciated.
Answer:
y = 2/7x - 1
Step-by-step explanation:
You are trying to put it in the form y = mx + b where m is the slope and b is the y-intercept.
To start, find the slope by doing change in y (between the two points) divided by change in x (between the two points). This would be:
3 - (-3) (change in y) / 14 - (-7) (change in x)
= 6/21
= 2/7
So the slope is 2/7.
Then, you have the equation y = 2/7x + b.
Since you know the point (14, 3) works, you know x = 14 and y = 3 is a solution to the equation. You can plug in those values which would be:
3 = 2/7 * 14 + b
3 = 4 + b
-1 = b
So that means the equation is y = 2/7x - 1
are the triangles similar? explain. please help
Answer:
The triangles are similar.
Step-by-step explanation:
The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.
Answer:
Yes
Step-by-step explanation:
(i) By AA similarity
Both have two equal angles, 40° and 60°, therefore they can be defined as similar by AA similarity(ii) By SSS similarity
AB/DC = 32/40 = 4/5BC/EF = 24/30 = 4/5AC/DF = 36/45 = 4/5As the ratio of the sides of both triangles are equal, they are defined as similar by SSS similarityin ABC, A = 61°, a = 25, and b = 27. What are the two possible values for angle B to the nearest tenth of a degree?
Solution:
In ΔABC
- a, b, c are the lengths of its 3 sides, where
# a is opposite to angle A
# b is opposite to angle B
# c is opposite to angle C
- m∠A = 61°
a = 25
and
b = 27
To find m∠B we can use the sin Rule:
\(\frac{b}{\sin(B)}=\frac{a}{\sin (A)}\)replacing the data of the problem in the previous equation, we get:
\(\frac{27}{\sin (B)}=\frac{25}{\sin (61)}\)by cross-multiplication, we get:
\(\sin (B)(25)=\text{ sin(61)(27)}\)solving for sin(B), we get:
\(\sin (B)=\frac{\sin (61)(27)}{25}=0.94\)applying the inverse function of sine, we get:
\(B=sin^{-1}(0.94)=70.8\)note that the value of sin(B) is positive
∴ Angle B may be in the first quadrant (acute angle) or in the second quadrant (obtuse angle). Thus, the other measure of ∠B would be:
\(B\text{ = }180-70.8=\text{ 109}.2\)Then, the two possible values of B are:
\(B\text{ = 109}.2\)
and
\(B\text{ = 70.8}\)which is bigger 2.4 or 8.4
Answer:
obviously 8.4 is bigger than 2.4
Brainnless mathhhh help me and thanks
Answer:
I think it is B
Step-by-step explanation:
srry if it turns out to be wrong tho
Answer:
A
Step-by-step explanation:
Wording it differently however it is most likely A since there are 4 boxes of 6 and wording them like the equations to get 6 times as many as 4 since there are 6 in 4 boxes.
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=77°, and GE = 2.6 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG=11.6 feet
Step-by-step explanation:
cos 77 degrees=2.6/FG (because this is a right triangle)
.22495=2.6/FG
FG=11.558 feet
Answer:
11.3
Step-by-step explanation:
Boxes of bouncy balls with 500 balls are sold to stores for $75.00. One store sells them to customers for 35 cents each. What is the difference between the unit buying price and the
selling price?
Answer:
.20
Step-by-step explanation:
75/500 = .15
35-15=20
Washington, DC is on Eastern standard time, Minneapolis is on Central standard time (1 hr earlier than Eastern standard time), and Las Vegas is on Pacific standard time (3 hrs earlier than Eastern standard time).
A flight leaves Washington, DC at 9:45 A.M. Eastern standard time, stops for 2 hours and 20 minutes in Minneapolis, then arrives in Las Vegas at 4:30 P.M. Pacific standard time.
How long is the plane actually flying?
Answer:
Step-by-step explanation:
When the plane landed in Las Vegas it was 4:30PM Pacific time - this converts to 730 PM Eastern time.
The entire trip lasted from 9:45 am to 7:30 pm. This is a total of 9 hours and 45 minutes.
Subtract 2 hours and 20 minutes for the layover and the plane was flying
for 7 hours and 25 minutes.
9 - 2 = 7 hours and 45 minutes - 20 = 25 minutes
61 less than twice vidy's score
We are given the following word problem
"61 less than twice Vidy's score"
Let us translate the word problem into an algebraic expression
Let v represents Vidy's score
twice Vidy's score means 2 times v
61 less than means to subtract 61 from 2 times v
So, the algebraic expression becomes
\(2v-61\)√-25/√9 please solve
Step-by-step explanation:
The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.
Let's break down the expression step by step:
√(-25) / √9
The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.
√(-1) is equal to "i," and the square root of 25 is 5.
So, the expression becomes:
i * 5 / √9
The square root of 9 is 3.
Now, we can simplify further:
i * 5 / 3
Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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In a running competition, a bronze, silver and gold medal must be given to the top
three girls and top three boys. If 15 boys and 11 girls are competing, how many
different ways could the six medals possibly be given out?
Answer:
2702700
Step-by-step explanation:
Hi there ,
Given:
In a running competition, a bronze, silver and gold medal must be given to the top three girls and three boys. If 15 boys and 11 girls are competing.
To find:
How many different ways could the six medals possible be given out?
Explanation:
As given,
The number of boys competing in a competition = 15
The number of girls competing in a competition = 11
Three medals are given to top three girls and three medals are given to top three boys.
(I have given the rest of the answer in the images below :-)
If this helped you out do mark me as brainliest and stay positive :)
A fellow mate
Cheers !
Simplify each expression, and classify the result as rational or irrational.
2√5-3√6
√42/√168
5(4√5-3√5)
√64/32
5√3-√3/2√3
√7-√14pi
√(42)/√(168), √(64)/32, (5√(3)-√(3))/(2√(3)) are rational where as 2√(5)-3√(6), √(5)(4√(5-3√5))), √(7)π-√(14)π are irrational.
What is rational?A sort of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator.
What is irrational?Any number that cannot be stated as a fraction for any integers is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they finish.
rational: √(42)/√(168), √(64)/32, (5√(3)-√(3))/(2√(3))
irrational: 2√(5)-3√(6), √(5)(4√(5-3√5))), √(7)π-√(14)π
Use calculator, if it is not in fraction form then it is rational.
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√(42)/√(168), √(64)/32, (5√(3)-√(3))/(2√(3)) are rational where as 2√(5)-3√(6), √(5)(4√(5-3√5))), √(7)π-√(14)π are irrational.
What is rational?
A sort of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator.
What is irrational?
Any number that cannot be stated as a fraction for any integers is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they finish.
rational: √(42)/√(168), √(64)/32, (5√(3)-√(3))/(2√(3))
irrational: 2√(5)-3√(6), √(5)(4√(5-3√5))), √(7)π-√(14)π
Use calculator, if it is not in fraction form then it is rational.
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Using 17 flavors of ice cream, how many cones with 3 different flavors can you create if it is important to you
which flavor goes on the top, middle, and bottom?
There are
possible ways to create the ice cream cone.
Answer:
4913
Step-by-step explanation:
For combinations, if there are 17 flavors, and you have 3 spots, you have to multiply 17*17*17.
That is 4913. Is that what you are looking for? Hope it helps.
One bag of bird seed weighs 20.25 pounds. What is the weight of 7 bags of the bird seed?
Answer:
141.75 pounds
Step-by-step explanation:
20.25* 7 = 141.75 pounds
You could also add 20.25 + 7 seven times.
Which expression is equivalent to X
(13),
Ο Ο Ο Ο
4
x9
13
x 6
Answer:
x
Step-by-step explanation:
\(\huge \bigg( {x}^{ \frac{2}{3} } \bigg) ^{ \frac{3}{2} } \\\\
\huge= {x}^{ \frac{2}{3} \times \frac{3}{2} } \\\\
\huge= {x}^{ \frac{6}{6} } \\\\\huge= x \\ \)
Please Help Marked for all my points and will Brainliest
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.
The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
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The radius of a cylindrical water tank is 4.5 ft, and its height is 10 ft. What is the volume of the tank?
Answer:
636.3 cubic meters
Step-by-step explanation:
Volume of cylinder= pi × radius² × height
3.142 × 20.25 × 10 = 636.255 rounded to the nearest one decimal place is 636.3
Have a nice day.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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if the risk-free rate is 5 percent and the risk premium is 7 percent. what is the required return?
Unit 10: Circles Homework 4: Inscribed Angles
Find each angle measure
Answer:
6. ∠GHJ ≅ ∠GIJ = 73°
10. ∠Q = 89°, ∠R = 123°, ∠S = 91°
Step-by-step explanation:
The relations applicable to these problems are ...
the measure of an inscribed angle is half the measure of the intercepted arcthe sum of the arc measures in a circle is 360°Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.
__
6.The missing arc measure GJ is ...
68° +31° +115° +GJ = 360°
GJ = 360° -214° = 146°
Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...
∠GHJ ≅ ∠GIJ = 146°/2 = 73°
__
8.∠Q intercepts arc PSR, which is shown as ...
arc PSR = arc PS +arc SR
arc PSR = 137° +41° = 178°
The measure of angle Q is half this:
∠Q = (1/2)×arc PSR = 178°/2 = 89°
__
∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:
∠R = 180° -57° = 123°
__
∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:
∠S = 180° -89° = 91°
kerry is going to use these instructions to make a fizzy drink
mix 7 parts apple juice with 3 parts lemonade
kerry thinks that she has 280ml of applejuice and 180 ml lemonade.
if kerry is correct what is the greatest amount of fizzy drink she can make?
second part:
kerry has 280 ml of applejuice but only has 160 ml of lemonade.
Does this affect the greatest amount of fizzy drink she can make?
Give a reason for your answer.
a) She can make 400 milliliters of the fizzy drink.
b) The change does not affect the greatest amount of drink.
If kerry is correct what is the greatest amount of fizzy drink she can make?We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.
If we divide the total amount of apple juice in 7 parts, then each part has:
280ml/7 = 40ml
Then we need 3 parts of 40ml of the lemonade, this is:
3*40ml = 120ml
Then the total amounf of drink fizz that she can make is:
280ml + 120ml = 400ml.
b) Now she has 160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.
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Use the graph of g to find g(x) = 3.
pls help solve quick!
By using the graph of g, the solution to g(3) is equal to 8.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
What is a domain?In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.
When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;
g(3) = 8.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
what is least amount of green ooze any one contestant carried? 0 1/8 1/4 3/8 1/2 5/8 3/4 7/8 1
Given the information on the number line, the least amount of green ooze would be 1/4
Suppose that the relation H is defined as follows. H = {(9, 3), (8, p), (3, q), (8, 0)) Give the domain and range of H. Write your answers using set notation.
Answer:
See below
Step-by-step explanation:
Domain would be all the x-values, so this is {3, 8, 8, 9}
Range would be all the y-values, so this is {0, 3, p, q}
Sorting Quadratic Function Discriminants
Warm-Up
Determine the number and type of zeros of the quadratic function based on the value of the discriminant.
discriminant = 0
2 Real Number Solutions 1 Real Number Solution
discriminant = -36
discriminant = 3
discriminant = 2
discriminant = 100
discriminant =-4
Intro
0 Real Number Solutions
✓ Done
The number of zeros of the quadratic functions, considering their discriminant, is given as follows:
discriminant = 0: 1 Real number solution.discriminant = -36: 0 Real number solutions.discriminant = 3: 2 Real number solutions.discriminant = 2: 2 Real number solutions.discriminant = 100: 2 Real number solutions.discriminant = -4: 0 Real number solutions.What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
\(y = ax^2 + bx + c\)
The discriminant is:
\(\Delta = b^2 - 4ac\)
The solutions are as follows:
If \(\mathbf{\Delta > 0}\), it has 2 real solutions.If \(\mathbf{\Delta = 0}\), it has 1 real solutions.If \(\mathbf{\Delta < 0}\), it has 0 real solutions.Hence, for the given values of the discriminant, we have that:
discriminant = 0: 1 Real number solution.discriminant = -36: 0 Real number solutions.discriminant = 3: 2 Real number solutions.discriminant = 2: 2 Real number solutions.discriminant = 100: 2 Real number solutions.discriminant = -4: 0 Real number solutions.More can be learned about quadratic functions at https://brainly.com/question/24737967
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Jackson works at a company that makes widgets. If the machine he runs can make 36 widgets in 3
hours, how many hours does it take his machine to produce 66 widgets?
Answer:
Jackson needs 30 more widgets 2 hours
Step-by-step explanation:
Write an expression equivalent to 5(3m+n)
Answer:
15m+5n
Step-by-step explanation:
5(3m+n) In this case you need to multiply. 5x3m is 15m; 5xn is 5n. 15m+5n