Answer: a) 24 b) infini
Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione
Given that p=3i+j+2kand q=i-2j-4k are the position vectors
of points P and Q respectively, use the information to answer
Questions 2 and 3.
2.
Find an equation for the plane passing through Qand
perpendicular to liné PQ.
The equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
Let position vector of point P be:
p = 3 i + j + 2 k
Let position vector of point Q be:
q = i - 2 j - 4 k
So, PQ = Q - P
PQ = n = i - 2 j - 4 k - (3 i + j + 2 k)
n = i - 2 j - 4 k - 3 i - j - 2 k
n = - 2 i - 3 j - 6 k
The Equation of plane passing through point Q and perpendicular to PQ will be:
(r - q).n = 0
r n = q n
q n = (i - 2 j - 4 k) . (- 2 i - 3 j - 6 k)
q n = - 2 + 6 + 24
q n = 28
r n = 28
r (- 2 i - 3 j - 6 k) = 28
r (2 i + 3 j + 6 k) + 28 = 0
Therefore the equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
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Tim always eats strawberries in multiples of three. Todd eats them in multiples of four and Rick in multiples of six. Gavin is not fussy
about it but likes cream to go with them. Uncle Sam wants each of the four kids to eat the same number of strawberries. What is the
minimum number of strawberries that he has to give to each kid?
Answer:
12
Step-by-step explanation:
3*4 = 12
12/6 = whole number
6/4 is not a whole number
12 is the lowest it could be.
Also those kids have issues.
What is the graetest comon factor on 18 12
Answer: 6
Step-by-step explanation:
Answer:
GCF = 2
Step-by-step explanation:
11. STEM Connection The world's biggest submarine
can sail at a speed of about 25.5 miles per hour on
the surface. How can you describe the relationship
between 5 and 0.5?
5 is at the one-place value, and 0.5 is at the tenth-place value. 5 is ten times the value of 0.5.
What is described as the once and tenth place?There are one or more digit numbers in a number. 43 has the digits 4 and 3. The value of a numeral is determined by its position in the number.The number one in the number twelve is located in the tens place. The 2 in 12 is now in the one position. 95 has a 9 with in tens position and a 5 with in ones position.The number 0 is significant. The zero in twenty indicates there are no ones. That tells us that the 2 in 20 are in the tens. 20 is made up of two tens and zero ones.For the given question;
The speed of the world's biggest submarine is 25.5 miles per hour on the surface.
Thus, in the value of 25.5, the digit 5 lies on the once place.
The value 0.5 lies on the tenth place.
Now, it is clear that the 5 is the 10 times the value of 0.5, which is the required relation.
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for each table, find the constant of proportionality. use decimal notation if neccescry
Step-by-step explanation:
the constant k of proportionality is defined by
y = kx
or in our case
b = ka
so, let's see
14 = k×2
k = 14/2 = 7
this also works for the other data pairs :
7×5 = 35
7×9 = 63
7 × 1/3 = 7/3
perfect.
so, the constant of proportionality is 7.
Evaluate 3x^2-2x+8 when x=3
Step-by-step explanation:
f(x) = 3x² - 2x + 8 , x = 3
f(3) = 3.3² - 2.3 + 8
= 27 - 6 + 8
= 29
Use the distributive property to multiply (3w + 5)(–2w – 7).
-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30
Answer:
[tex]=-6w^2-31w-35[/tex]
Step-by-step explanation:
Apply Foil.
[tex]\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)[/tex]
[tex]=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)[/tex]
[tex]=-6w^2-31w-35[/tex]
WILL GIVE BRAINLIEST!!!
I have 200 hours to make as much Lemonade as possible, and I can make 1 pitcher every 10 minutes.
Write an inequality to represent my time constraint.
Answer:
33.33
Step-by-step explanation:
Well, we already know the amount of time it takes to make the lemonade, and we know the rate as well.
We need to find out how many pitchers you can make in an hour. If you can make one pitcher in 10 minutes, then you can make 6 pitchers in 60 minutes, AKA an hour.
So we make 6 pitchers per hour.
If we make 6 an hour, then we multiply 6 by 200 to get the number of pitchers we can make in 200 hours.
We can make 33.33 pitchers in 200 hours
Plss help me with this! 20 pointss
Answer:
4.57 meters
Step-by-step explanation:
Answer: 4.57 meters
Step-by-step explanation:
6 - 1.43 = 4.57 meters
If 3 times a number is decreased by 2 the principal square root of this difference is 4 less than the number. Find the number(s).
The numbers are -3 and 6
How to determine the numberFrom the information given, let the number be x;
the expression is given as;
(√3x + 2) = x - 4
To determine the number, find the square of both sides, we have;
(√3x + 2) ^2 = (x - 4)^2
Find the square of both sides
3x + 2 = ( x - 4)(x + 4); difference of two squares
expand the bracket
3x + 2 = x^2 + 4x - 4x - 16
collect like terms
x^2 - 3x - 16 - 2
x^2 - 3x - 18
x^2 - 6x + 3x - 18
Factorize the expression
x( x - 6) + 3( x - 6)
(x + 3) or (x - 6)
x = -3 or x = 6
Thus, the numbers are -3 and 6
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Use the formula S=n(n+1)/2 to find the sum of 1+2+3+...+600
1+2+3+...600=
Answer:
eueueue
Step-by-step explanation:
Please refer to the picture, thank you!!!
An equation that relates T to N can be written as T = 750 + 630N.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
What is a function?A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).
How to write an equation relating T to N.Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:
T = A + B
Substituting the given parameters into the formula, we have;
T = (750 + 135N) + 495N
T = 750 + 135N + 495N
T = 750 + 630N.
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Complete Question:
Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.
Simplify your answer as much as possible.
i need help with this assignment can anyone help
Answer: 18.25
Step-by-step explanation:
5.5*4=22
401.5/22=18.25
Answer:
$18.25
Step-by-step explanation:
Since area is given as A=LW, and we are given the values of the dimensions of the floor, we get:
5.5×4=22
So, the area is 22 yards, and it costs $401.5 to carpet it. Now, We simply need to divide the cost by the area to get the "cost per-square yard" as needed in the question. We get:
401÷22=18.25
So, the cost of the carpet per square yard is $18.25
At what coordinate would you place point e so that is partitions df in a ratio of 5:3
emiah The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch. Which measurement is closest to the length of the ruler in millimeters? A 3,048 mm B 30.48 mm C304.8 mm D 3.048 mm
Answer:
C 304.8
Step-by-step explanation:
Answer:
C 304.8 mm
Step-by-step explanation:
12*25.4 = 304.8
Apply it
What is the value of the expression 4(x - y)
when x = 7 and y = 1?
A 26
7
B 29
C 32
D 48
Apply your thinking
Students, write your response!
Pear Deck Interactive Slide
Curriculum Associal Do not remove this bar
Answer:
USE AIR MATH!!
Step-by-step explanation:
PLEASE HELP ASAP 100POINTS AND BRAINLIEST
Identify two segments that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)
R
is congruent to
Answer:
I believe R is congruent to U
Step-by-step explanation:
I don't exactly remember much about these types of problems but I hope it helps! =D
Answer:
∠VS is congruent to ∠UR
Step-by-step explanation:
congruent means same size or shape and the markings are the little lines
the little curves over the angles are congruent as well
Translate this phrase into an algebraic expression.
Three less than the product of 15 and Chrissy's score
Use the variable c to represent Chrissy's score.
Answer:
15c - 3
Step-by-step explanation:
Product means 'The answer when you Multiply' So we are working in multiplication ( x )
15 x c can also be written as 15c
'3 less than' means subtracting 3 off the answer.
So therefore the answer is:
15c - 3
Does 10x = 2.5x have one solution, no solutions, or infinite solutions?
Answer: One Solution
Step-by-step explanation:
Only the number 0 can solve this equation so it may be correct.
First approaching this problem, I would try to get x on one side of the equation by subtracting 2.5x from both sides.
This leaves us with 7.5x = 0
Therefore, this equation has only one solution, 0.
Manu makes some money on the side by producing and selling customized drink glasses for family reunions. To make the glasses, it costs him a flat fee of $10 per order, plus $8 per glass. He sells the glasses for $13 per glass. How big must the order be in order to earn a profit of $100? Let x = the number of glasses and y = profit from selling x glasses. Set up the equation for this situation and solve it. You must show all calculation in order to earn any credit.
To earn $100 profit Manu should get the order of 22 glasses.
Given that, the cost price of a drinking glass=$8 and the selling price = $13.
What is profit?When, in a transaction, the selling price is greater than the cost price, it means we earn a profit. The basic formula used for calculating the profit is Profit = Selling Price - Cost Price.
Let x = the number of glasses and y = profit from selling x glasses.
Now, y=(13-8)x-10
Assumed that the order is x glasses to earn a profit of $100.
(13-8)x-10=100
⇒5x-10=100
⇒5x=110
⇒x=22
Therefore, to earn $100 profit Manu should get the order of 22 glasses.
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Kira has a deck of 10 cards numbered 1 through 10. She is playing a game of chance.
This game is this: Kira chooses one card from the deck at random. She wins an amount of money equal to the value of the card if an even numbered card is drawn. She loses $5.50 if an odd numbered card is drawn.
a) find the expected value of playing the game.
___ dollars
b) what can Kira expect in the long run, after playing the game many times? (She replaces the card in the deck each time)
a) kira can expect to gain money. She can expect to win ___ dollars per draw
b) kira can expect to lose money. She can expect to lose ___ dollars per draw.
c) kira can expect to break even (neither gain nor lose money)
Answer:
A. The expected value of playing the game is 0.25
B. She can expect in the long run to gain 0.25 dollars per draw.
Step-by-step explanation:
On 10 draws with each card drawn once....
Winnings: 2+4+6+8+10=30
Losses: 5(5.50)=27.50
She gains an average of $2.50 in each group of 10 games, or $0.25 per game.
A baby American bison weighs 20kg. A baby blue whale weighs 100 times as great as a baby American bison. how much does a baby blue whale weigh
a baby blue whale weigh= 2000 kg
Simple equation :
A linear equation that involves only one variable is known as a simple equation or a linear equation in one variable. For example, \(3x + 2 = 23,x = 7,2x + 6 = 3x – 4,\)etc., are simple equations.Let us assume a situation, in which you go to the market to buy mangoes in a supermarket. Your mother gave you Rs.100 and said that you can keep Rs.40 for buying chocolates and for the remaining amount, you need to buy mangoes. When you went to the market, you found out that the price of one kg of mangoes was Rs.12. So, the final question is how many mangoes you should buy, so that everyone is satisfied. Recall the concept of simple equations from previous classes and proceed. Let us assume that you have to purchase kg of mangoes, so the total amount of money that you will be spent on buying mangoes will be Rs.12x. Now, you have Rs.40 for yourself, so you have an equation:
12 x + 40 = 100
12x = 100 – 40
12x = 60
x = 60/12 = 5, This is the same equation as above. Now when you will solve this, you will get to know the value of 5kg of mangoes. It means that you can buy 5 kg mangoes and spend Rs.40 on buying chocolates
weigh: to measure how heavy something is, especially by using a machine (scales)
given :
A baby American bison weighs=20kg
The solution according to Question =
Let the weight of baby blue whale = b
the baby blue whale weighs =100(a baby American bison)
b=100(20)
b=2000 weigh
a baby blue whale weigh= 2000 kg
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Question
Gabriel and Raj were running a lemonade stand at the local park. They decided to pay their sister to operate the stand. The
following values represent the profit y after a hours of the stand being open.
Using a calculator or statistical software, find the linear regression line for the data.
Enter your answer in the form y = mx +b, with m and b both rounded to two decimal places.
Provide your answer below:
y=x+
[
X
1
2
3
4
5
6
7
y
3.58
5.18
6.24
7.97
7.09
8.31
11.33
The linear regression equation for the data is given by:
y = 1.08x + 2.76.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (x,y) are given as follows:
(1, 3.58), (2, 5.18), (3, 6.24), (4, 7.97), (5, 7.09), (6, 8.31), (7, 11.33).
Inserting these points into a calculator, the linear regression equation for the data is given by:
y = 1.08x + 2.76.
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5h+2(11−h)=−5 what is h
Answer:
-9
Step-by-step explanation:
5h+2(11−h)=−5
5h + 22-2h = -5
3h = -27
h = -9
I need help on question 82 a,b,c,d,e
Answer:642
Step-by-step explanation:
Look at the book and solve it
Write the linear function y that has the given function values.
f(−6) = −7, f(1) = 2
The equation of this linear equation is f(x) = 9/7(x - 1) + 2
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the linear equation?The given parameters are
f(−6) = −7, f(1) = 2
Start by calculating the slope (m) using
m = [f(-6) -f(1)]/[-6 - 1]
This gives
m = [-7 - 2]/[-6 - 1]
Evaluate
m = 9/7
The linear equation is then calculated as
f(x) = m(x - x1) + f(1)
So, we have
f(x) = 9/7(x - 1) + 2
Hence, the equation of this linear equation is f(x) = 9/7(x - 1) + 2
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Which expression is equivalent to (a2/3 1/31/22
OA 7/665/6
OB. 44/32/3
Oca1/261/2
C.
OD. a4/361/6
OE.al/361/6
Answer:
E. a^(1/3)b^(1/6)
Step-by-step explanation:
You want an expression equivalent to (a^(2/3)b^(1/3))^(1/2).
Rules of exponentsThe applicable rules of exponents are ...
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
ApplicationThe given expression simplifies to ...
[tex](a^{2/3}b^{1/3})^{1/2}=a^{(2/3)(1/2)}b^{(1/3)(1/2)}=\boxed{a^{1/3}b^{1/6}}[/tex]
What are the solutions to the inequality (x-3)(x+5) ≤0?
O {x| 3≤x≤5}
O {xl-5≤x≤-3}
O x1-5≤x≤ 3}
O {xl-3≤x≤5}
Answer: -5<=x≤3 ==> 3rd option
Step-by-step explanation:
(x-3)(x+5)≤0
x-3>=0 and x+5≤0
x>=3 and x≤-5 ==> Not possible since a number subtracted by 3 can't be greater than the same number added by 5.
x-3≤0 and x+5>=0
x≤3 and x>=-5 ==> -5<=x≤3 ==> 3rd option
The solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is (x-3)(x+5) ≤0
To solve this inequality, we first find the critical points by setting the expression inside the inequality to zero:
(x-3)(x+5) = 0
This gives us two critical points: x=3 and x=-5.
We want to find where the expression is less than or equal to zero, so we include the endpoints of the intervals where the expression is zero or negative.
Hence, the solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.
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A surveyor is estimating the distance across a river. The actual distance is 279.8 m. The surveyor's estimate is 300 m.
Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.
Absolute Error = ___ m
Percent Error = ___%
Answer:
Absolute error = 20.2m
% error = 6.73%
Step-by-step explanation:
Absolute error = 300-279.8= 20.2m
% error = 20.2 ÷ 300 = 6.73%
PLEASE HELP I DONT UNDERSTAND
According to the image, the figure moved four times to return to its initial position.
What is the initial position of the figure?The starting position of the figure is in the lower left corner of the frame.
How does it move from position 1 to position 2?The movement made by the figure from position 1 to position 2 is that it moves from the lower left corner to the lower right corner.
How do you move from position 2 to position 3?The movement made by the figure from position 2 to position 3 is that it moves from the lower right corner to the upper right corner. Additionally, the figure rotates to the left 180°.
How does it move from position 3 to position 4?The movement that the figure performs from position 3 to position 4 is that it moves from the upper right corner to the upper left corner.
How does it move from position 4 to position 5?The movement made by the figure from position 4 to position 5 is that it moves from the upper left corner to the lower left corner. Additionally, the figure is rotated 180° to the left again.
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