Answer:
54=12+r
Step-by-step explanation:
'Sum' means to add.
54 = 12 + rhonda's height
54 = 12 + r
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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Help!!
Find the after-tax return to a corporation that buys a share of preferred stock at $49, sells it at year-end at $49, and receives a $4 year-end dividend. The firm is in the 21% tax bracket.
This is what I got so far:
Before-tax:
(49-49)+4 = 4,
4/49 = 0.0816,
After-tax:
0.0816 (1-021) = 0.06448 or 6.45%
After the tax return percent is 7.43%.
What is a tax return?
A tax return is a form or form filed with a duty authority that reports income, charges, and other material duty information. Tax returns allow taxpayers to calculate their duty liability, schedule duty payments, or request refunds for the remittance of levies. A tax return is the completion of attestation that calculates a reality’s or existent's income earned and the quantum of levies to be paid to the government or government associations or, potentially, back to the taxpayer. Taxation is one of the biggest sources of income for the government.The tax-return of the corporation will be calculated by providing a 70% of deduction to the preference dividend.
The total amount of preference dividend which will be taxable= (dividend amount*(1-.7)
= (4*.3)= 1.20.
The total amount of tax= (total preference dividend taxable*x tax rate)
= (1.2*.3)=.36
The total after tax amount of Return= (preference dividend-tax)= (4-.36)= 3.64.
There will be no capital gain because there is no change in the price of preference shares.
After tax return=(after tax dividend/purchase price)
= (3.64/49)
= 7.43%.
After the tax return percent is 7.43%.
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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
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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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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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.
Can someone explain this to me?
What are the values of c for which f has a removable discontinuity?
1 only
5 only
1 and 7 only
1,5, and 7
Answer:
1 only
Step-by-step explanation:
1 only, as the other points have defined values.
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
is X a positive, negative or zero? x + 5 = -8
Answer:
Negative
Step-by-step explanation:
x + 5 = -8
Subtract 5 from both sides to get x by itself
x = -13
Answer:
X is negative
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
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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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
9. Use the following data. 15, 24, 32, 46, 46, 58. Match the measures on the left with the values on the right.
1. median
2. mode
3. mean
4. range
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
make a research about fibonacci sequence and its process kindly give at least five examples.
What is the Fibonacci sequence?
The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.
The Fibonacci sequence begins with the following 14 integers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ...
Each number, starting with the third, adheres to the prescribed formula. For example, the seventh number, 8, is preceded by 3 and 5, which add up to 8.
The sequence can theoretically continue to infinity, using the same formula for each new number. Some resources show the Fibonacci sequence starting with a one instead of a zero, but this is fairly uncommon.
Example 1: Starting with 0 and 1, write the first 5 Fibonacci numbers.
Solution: The formula for the Fibonacci sequence is Fn= Fn-1+Fn-2
The first and second terms are 0 and 1, respectively.
F0 = 0 and F1 = 1.
F2 = F0 + F1 = 0+1 = 1 is the third term.
F3 = F2+F1 = 1 + 1 = 2 is the fourth term.
F4 = F3+F2 = 1+2 = 3 is the fifth term.
The Fibonacci sequence’s first five terms are 0,1,1,2,3.
Example 2: Find the Fibonacci series’ next term: 0, 1, 1, 2, 3, 5…
Solution: The preceding two Fibonacci terms are the next term in the series.
As a result, the word that must be used is – 3 + 5 = 8
Example 3: What is the significance of Fibonacci numbers?
Solution: In financial statement analysis, Fibonacci numbers are pretty helpful. In addition, the Fibonacci number series may be utilized to provide valuable proportions or ratios for business people.
Example 4: Find the 12th term of the Fibonacci sequence if the 10th and 11th terms are 34 and 55, respectively.
Solution: Using the Fibonacci Sequence recursive formula, we can say that the 12th term is the sum of the 10th term and the 11th term
12th term = 10th term + 11th term
= 34 + 55
= 89
The 12th term of the Fibonacci sequence is 89.
Example 5: The 14th term in the sequence is 377. Find the next term.
Solution: We know that the 15th term = the 14th term × the golden ratio.
F15 = 377 × 1.618034
≈ 609.99 = 610
The 15th term in the Fibonacci sequence is 610.
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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:
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
There are 20 flowers in a bouquet, and 2 of them are roses. What percent of the flowers are roses?
Answer:
10%
Step-by-step explanation:
firstly express as a fraction then multiply the fraction by 100% , that is
[tex]\frac{2}{20}[/tex] × 100% = 2 × 5 = 10% of the flowers are roses
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.
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.
what does 8+100-(7)/1^2 equal
Answer:
101
Step-by-step explanation:
What is the graetest comon factor on 18 12
Answer: 6
Step-by-step explanation:
Answer:
GCF = 2
Step-by-step explanation:
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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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%
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]
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:
Centre of rotation square
Answer:
Point of intersection of its diagonals
Step-by-step explanation:
At what coordinate would you place point e so that is partitions df in a ratio of 5:3
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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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
