Applying the rules of addition and scalar multiplication of vectors, –4w = (–8, 20) and –4u + w = (6, –7)
In the 2D coordinate system, vectors can be split into x-component and y-component.
we can write, for example, a vector r = (2,–6), which means:
x-component = 2
y-component = –6
Addition / subtraction of vectors: Just add or subtract the corresponding components.In the given problem:
u = (-1,3), v = ( 2,4) , and w = (2,-5)
Then,
–4w = –4(2, –5)
= (–4 . 2, –4. (–5)) = (–8, 20)
–4u + w = –4(-1,3) + (2, –5)
= (–4.(–1), –4 . 3) +(2, –5)
=(4, –12) + (2, –5)
= (4+2, –12–(–5)) = (6, –7)
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help pleasee
(science)
The mass number of the atom is 4.
How to find the mass number of an atom?The mass number, also called atomic mass number or nucleon number, is the total number of protons and neutrons (together known as nucleons) in an atomic nucleus.
Therefore, the sum of protons and neutron in the nucleus of an atom is mass number of that atom.
Therefore, the atoms in the diagram has 2 electrons, 2 protons and 2 neutrons.
Notice the electrons revolving around the nucleus of an atom.
Therefore,
mass number = mass of neutron + mass of proton
mass number = 2 + 2
mass number = 4
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2=2 how to get the answer for this
Answer:
16 if 8/2(2+2)
Step-by-step explanation:
First take 8 and divide it by 2, and then multiply by 4. This gets to the correct answer of 16.
Round to the nearest ten, then estimate the product. 46 x 63 =_ O 2,400 O2,800 O 3,000 0-3,500
The product of 46 and 63 to the nearest ten is 3000
What is the product?Product is the result of the multiplication process. Multiplication is the mathematical operation where a number a number is added to another number repeatedly. The sign that represents multiplication is x.
In order to round to the nearest ten, if the unit digit is greater than 5 or equal to 5, 1 is the added to the tens digit and the unit digit becomes zero. If the unit digit is less than 5, there is no change in the tens digit and the unit digit becomes zero.
46 to the nearest ten becomes 50
63 to the nearest ten becomes 60
50 x 60 = 3000
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The product of 46 x 63 when it is been rounded off into the nearest ten can be written as 3,000.
What is Rounding Off?Rounding off can be described as the mathematical term of making a particular number to become simpler even though the value of that number is still intact .
From the question, product of ( 46 x 63 ) will give us 3,818. however this number can be rounded off, to tens which will now give us 3,000 because it is tens the first two number from the right has been rounded off.
Therefore, option C is correct.
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Question 3 of 10
Will the answer to the subtraction problem below be odd or even?
9297-9178 = ?
OA. Odd
OB. Even
SUBMIT
Answer:
Odd
Step-by-step explanation:
9281-9178=119
119 is a Odd number
On a slow weekend, you spend at least two hours on homework. on a busy weekend, you spend as much as five hours on homework. write an absolute value inequality that represents the number of hours you spend doing homework on a typical weekday.
Absolute value inequality that represents the number of hours you spend doing homework on a typical weekday is 2 ≤ x ≤ 5.
Let us assume that one spends x hours doing homework on a typical weekday. Then we can write
The inequality expression for a slow weekend is given as;
X ≥ 2
In the same vein, the inequality expression for a busy weekend is given as;
X ≤ 5
Putting the two inequalities we have together in the same expression;
2 ≤ x ≤ 5
Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality. Writing an absolute value for this expression is represented as:
|x - h|≤ k
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Anybody know the answer to this question?
Which of the following is an equivalent representation of 5-4 ?
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 20? startfraction n over 2 endfraction minus 6 10; when n = 20, the value is 14. 6 minus startfraction n over 2 endfraction 10; when n = 20, the value is 6. startfraction n over 2 endfraction minus 6 10; when n = 20, the value is 17. 6 minus startfraction n over 2 endfraction 10; when n = 20, the value is 3.
The algebraic expression that represents the expression "six less than the quotient of a number and two, increased by ten" is [(n/2) - 6] + 10 and its value is 14 when n is 20.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
The expression "six less than the quotient of a number and two, increased by ten" can be written as:
[(n/2) - 6] + 10
where n is the number
Evaluate the expression by substituting the value of n.
[(n/2) - 6] + 10
= [(20/2) - 6] + 10
= (10 - 6) + 10
= 4 + 10
= 14
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Frankie bought 212 appetizers and he invited 12 people to his party. use compatible numbers to estimate the number of appetizers each guest can have? no links
The estimate of the number of appetizers per guest is 20
How to estimate the number of appetizers?The given parameters from the question are:
Number of appetizers = 212
Number of people invited = 12
From the question, we are to make use of compatible numbers
This means that we have the following approximation
Number of appetizers = 200
Number of people invited = 10
Next, we estimate the number of appetizers using
Number of appetizers = Total umber of appetizers/Number of people invited
Substitute the known values in the above equation, so, we have the following representation
Number of appetizers = 200/10
Evaluate
Number of appetizers = 20
Hence, the number of appetizers is 20
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Do y’all need any help
Answer:
Yes
Step-by-step explanation:
Math, due tomorrow and i can't find the rate of enlargement of my dilation in transformation....
Since the cookie sheets can hold exactly 1 dozen cookies, bbcc will produce and sell cookies by the dozen. How much time will it take to fill an order of 2, 3, or 4 dozen cookies?
Time taken to fill an order of 2, 3, 4 dozen cookies are 45 minutes, 64 minutes and 89 minutes respectively.
To calculate time taken to fill the orders, we will add time used in different processes separately.
time taken to spoon =2 min for each dozen
time taken to bake = 10 min for each dozen
time taken to cool = 5 min for each dozen
time taken to pack = 2 min for each dozen
time taken to receive payment = 1 min for each dozen
time for cookies = mins to mix + mins to spoon + total baking mins + mins to cool + mins to pack + min to receive payment
putting the values in the above formula, we get
Cycle time for 2 dozen cookies = 6 mins to mix + 4 mins to spoon + 20 total baking mins + 10 mins to cool + 4 mins to pack + 1 min to receive payment = 45 mins
Cycle time for 3 dozen cookies = 6 mins to mix + 6 mins to spoon + 30 total baking mins + 15 mins to cool + 6 mins to pack + 1 min to receive payment = 64 mins
Cycle time for 4 dozen cookies = 12 mins to mix + 8 mins to spoon + 40 total baking mins + 20 mins to cool + 8 mins to pack + 1 min to receive payment = 89 mins
Therefore, Time taken to fill an order of 2, 3, 4 dozen cookies are 45 minutes, 64 minutes and 89 minutes respectively.
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The 15 members of a team are getting new uniforms. Shirts cost $25
each, shorts cost $30 each, and shoes cost $75 a pair. What is the TOTAL
cost of the new uniforms for ALL of the members?
Answer:
$1,950.00
Step-by-step explanation:
Total cost of shirts = $25 x 15 = $375
Total cost of shorts = $30 x 15 = $450
Total cost of shoes = $75 x 15 = $1,125
Total cost = $375 + $450 + $1,125
= $1,950.00
The sales tax on a purchased item in a given state is a function of the selling price
The statement that the sales tax on a good that has been purchased is a function of the selling price in a given state, is TRUE.
How does sales tax relate to the selling price?The sales tax on an item that is purchased is calculated on the selling price of the item and then added to the item so that the person purchasing the item can pay for the sales tax as well.
Because the sales tax is based on the selling price, it is therefore a function of the selling price with the given state being the percentage of the sales tax.
For instance, a 4% sales tax on a good that is $10 is:
= 4% x 10
= $0.40
This sales tax is based on the selling price and so is a function of it.
Options for the question are:
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Solve each equation.
25x =1/5
The value of x for 25x =1/5 is 0.008
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given,
25x = 1/5
x = 1/125
x = 0.008
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How to do constant of proportional rate in a graph
Answer:
the constant of proportionality is the slope
Translate the following expression the product of a number and 3 decreased by 5
F (x ) = 3x-5
Solution :
Expression: An expression is a number, a variable, or a combination of numbers and variables and operation symbols
Education: An equation is made up of two expressions connected by an equal sign.
Product of a number by 3 and decreased by 5
let the number be x
product a number by 3 =3x
number is decreased by 5 = -5
Then,
F (x ) = 3x-5
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If a toy helicopter is moving at 12 m/s, how much energy does the 3kg toy have?
Given a∥b , and c is not parallel to a or b, which statements must be true? Select each correct answer. Responses m∠1=m∠5 the measure of angle 1 equals the measure of angle 5 m∠5=m∠12 the measure of angle 5 equals the measure of angle 12 m∠4=m∠5 the measure of angle 4 equals the measure of angle 5 m∠7=m∠11
The correct answers of the statement are as follows;
m∠1=m∠5 the measure of angle 1 equals the measure of angle 5m∠4=m∠5 the measure of angle 4 equals the measure of angle 5How to find angles in parallel lines?Line a and b area parallel lines.
c is not parallel to a or b.
When parallel lines are cut by a transversal, angle relationships are formed. The angle relationship includes corresponding angles, alternate angles, vertically opposite angles etc.
Therefore, let's select the correct answer in the options.
m∠1 = m∠5
Therefore, the measure of angle 1 is equals to the measure of angle 5 because they are corresponding angles.
m∠4 = m∠5
Therefore, the measure of angle 4 is equals to the measure of angle 5 because they are alternate angles.
Hence, the correct answers of the statement are as follows;
m∠1=m∠5 the measure of angle 1 equals the measure of angle 5m∠4=m∠5 the measure of angle 4 equals the measure of angle 5learn more on parallel lines and angles here: https://brainly.com/question/11546031
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Graph the function y equals 12 times the quantity 1 over 3 end quantity to the x power. Does the function represent growth or decay? What is the equation of the asymptote?
Exponential equation are inverse of of the logarithmic equation. Since b = 1/3 which is less than 1, hence it is a decay.
Exponential equationExponential equation are inverse of of the logarithmic equation. The standard exponential equation is y= ab^x
Exponential equation can either be growth or decay depending on the rate constant value.
If the value of b < 1, it is a decay while if the value of b > 1, then it is growth. Given the exponential equation below;
y = 12(1/3)^x
Since b = 1/3 which is less than 1, hence it is a decay. Find the graph attached.
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Answer:
D. Decay; y = 0Step-by-step explanation:
pls help with this question attached
The value of equation P (x) = [tex]2[/tex] + [tex]\frac{x}{2}[/tex] + [tex]x^{2}[/tex] - [tex]\frac{x^{2} }{3}[/tex] when x = (-1) is P(-1) = [tex]\frac{13}{6}[/tex]
P (x) = [tex]2[/tex] + [tex]\frac{x}{2}[/tex] + [tex]x^{2}[/tex] - [tex]\frac{x^{2} }{3}[/tex]
If the value of x = -1
P (-1) = 2 + [tex]\frac{-1}{2}[/tex] + [tex](-1)^{2}[/tex] - [tex]\frac{(-1)^{2} }{3}[/tex]
P (-1) = 2 - [tex]\frac{1}{2}[/tex] + 1 - [tex]\frac{1}{3}[/tex]
The above equation consist of fractional numbers as well as the whole numbers to therefore it is not possible to apply the operations in this particular conditions.
Equation is statement which equates two algebraic expressions.On taking LCM for the denominators of the fractional numbers (2 , 3), we get 6 as the Least Common Multiple.
To apply the sum and difference operation, we need to make the denominators of all the terms same.
[tex]2 * \frac{6}{6} = \frac{12}{6}[/tex][tex]\frac{1}{2} * \frac{3}{3} = \frac{3}{6}[/tex][tex]1 * \frac{6}{6} = \frac{6}{6}[/tex][tex]\frac{1}{3} * \frac{2}{2} = \frac{2}{6}[/tex]P (-1) = [tex]\frac{12}{6} - \frac{3}{6} + \frac{6}{6} - \frac{2}{6}[/tex]
P (-1) = [tex]\frac{12-3+6-2}{6}[/tex]
P (-1) = [tex]\frac{13}{6}[/tex]
Value of the equation P when 'x' is replaced by (-1) will be [tex]\frac{13}{6}[/tex]
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whats the gcf of 11 and 19?
Answer:
1
Step-by-step explanation:
some children went for fishing.they caught as many fishes as their number.if they caught 81 fishes altogether.how many children were there?
Answer: I think 81
Step-by-step explanation:
It might be a trick question. Because it says they caught as many fish as their number SOOO...
During one month Andre used 785 gallons of water at his home. There are approximately 3.8 liters in 1 gallon.Which measurement is closest to the number of liters Andre used during this month?
The closest measurement to the number of liters Andre used during the month is 2,983 liters of water.
How is the measurement determined?The measurement of the number of liters used is determined by multiplying the number of gallons of water by the approximate value of 1 gallon in liters.
Using one of the mathematical operations, multiplication, the conversion of the quantity of water from gallons to liters can be computed.
Data and Calculations:The total number of gallons of water used = 785
Conversion of 1 gallon to liters = 3.8 liters per gallon
The total number of liters of water used = 2,983 (785 x 3.8)
Thus, the closest measurement to the number of liters Andre used during the month is 2,983 liters of water.
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Answer:
The answer is 2,983
Step-by-step explanation:
Absolute value what is greater |-4.3| or |-7.2|
Answer:
The absolute value of -7.2 is greater.
Step-by-step explanation:
Absolute value means the distance from zero. Distance is always measured with a positive number. Which number is farther from 0, -7.2 or -4.3? -7.2
I WILL MARK YOU BRAINLIST IF YOU ANSWER THIS QUESTION FOR ME!!
you can do this two ways:
1. reflect ABC on the x and y axis, then translate the points up one and three to the right.
2. translate 3 to the left and 1 down and then reflect ABC on the x and y axis.
PLS HELP WHY NOBODY ANSWERING ME ?
Answer:
10×5.6=56 5.6×10=56
Step-by-step explanation:
apple trees 10× 5.6 acres of land = 56 apple trees
What is −11 + |−5| − |−15|?
HELP NOW PLS!!!
I WILL MARK YOU BRAINLIEST
Please answer this question.
Answer:
I have attached as an image. Kindly check.
Step-by-step explanation:
Rio has 3/4 liters of milk. He uses 1/3 of the milk to make tea. How much milk does Rio use for the tea?
Answer:
5/12
I'm assuming this means how much milk is left because it tells how much milk was used in the question
Step-by-step explanation:
Convert to common denominator and you get 9/12 of milk - 4/12 of milk and you get 5/12
Can someone help me with this? Acelllus