If a parallelogram has an area of 7 square units, and the height corresponding to a base is [tex](\frac{1}{4})[/tex] units, then the base is 28 units.
As per the question statement, a parallelogram has an area of 7 square units, and the height corresponding to a base is [tex](\frac{1}{4})[/tex] units.
We are required to find out the base of the parallelogram.
To solve this question, we need to know the formula to calculate the area of a parallelogram, which goes as
Area of Parallelogram = (Base * Height)
Putting our data obtain from the question statement, in the above-mentioned formula, we can calculate the value of the base of our concerned parallelogram, i.e.,
[tex]7=(base*\frac{1}{4})\\or, base=(7*4)\\or, base = 28[/tex]
Therefore, base of our concerned parallelogram is 28 units.
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pls answer if wrong i ban you
The coordinates of L are: (8,-4)
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) → (y, -x)
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
(x, y) → (y, -x)
L(4,8) → L'(8.-4)
M(4,3) → M'(3,-4)
N(8,8) → N'(8,-8)
Vertices of the rotated figure are:
L'(8.-4) M'(3,-4) N'(8,-8)
Hence we get the desired result.
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At what coordinate would you place point e so that is partitions df in a ratio of 5:3
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
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
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]
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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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%
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.
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
5. This diagram is a straightedge and
compass construction. Which triangle is
equilateral? Explain how you know.
The ΔVZW is Equilateral Triangle .
Equilateral Triangle is defined as the triangle in which all the three sides of the triangle are equal.
For Example ; if a triangle ABC has lengths AB=2cm , BC=2cm and CA=2cm then the triangle ABC can be called as an equilateral triangle as all sides have same length i.e. 2cm .
In the question ,
From the diagram, we have the radius of all the circles are of equal length ,
Since the radius of all the circles are equal in length , their diameter will also be equal in length .
We can see from the diagram that VZ , ZW and WV are the diameters of the circles , So they will be equal in length ,
which means VZ = ZW = WV.
In triangle VZW the sides VZ , ZW and WV are of equal length , hence the triangle will be an Equilateral Triangle.
Therefore , the Triangle VZW is Equilateral Triangle .
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what does 8+100-(7)/1^2 equal
Answer:
101
Step-by-step explanation:
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
What is 6.4% written as a decimal number? 64.0 6.4 0.64 0.064
Answer:
0.064
Step-by-step explanation:
To convert just muiltiply the percent by 100.
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
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
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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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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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.
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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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:
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.
find the distance between the two points in simplest radical form. (2,6) and (7,-6)
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
A quadratic function is decreasing on (-∞, 3) and increasing on (3, ∞).
Will the vertex be the highest or lowest point on the graph of the parabola?
Explain.
Greetings from Brasil...
If X grows and Y grows, the function is increasing
If X increases and Y decreases, the function is decreasing
Besides that, according to the statement, we can conclude that the parabola has an upward concavity, that is, a > 0. In this case the vertex will be a minimum point
check the attachments
P.S. - vertex coordinate = (3; 0)
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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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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Centre of rotation square
Answer:
Point of intersection of its diagonals
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:
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.
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
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:
