The area of the new parallelogram is A = n²bh
How to determine the area of the parallelogram?From the question, we have the following parameters that can be used in our computation:
b = base of the original parallelogram.
h = height of the original parallelogram.
n = Factor of the products
The area of a parallelogram from the base and the height is calculated as
A = bh
In this case, we have
Each dimension of a parallelogram is multiplied by a positive number n.
This means that
Base = bn
Height = hn
So, we have
Area = bn * hn
Evaluate
A = n²bh
Hence, the area expression is A = n²bh
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∠c=?
a) 30° b) 50°
c) 70° d) 100°
∠c - ∠b =?
a) 30° b) 40°
c) 50° d) 70°
∠a=?
a) 80° b) 70°
c) 40° d) 30°
∠c = 100° (Since ∠c and ∠100° are opposite angles)
∠c - ∠b = 70° (∠b =30° since ∠b and ∠30° make 60°)
∠a = 30° (Since ∠a and ∠30° vertically opposite angles)
What are opposite angles?
Angles, where two lines cross that are directly opposite one another, are known as opposite angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles. Congruent angles are those that have opposite angles that are equal or have the same measurement. For instance, A and C are referred to be opposite angles in the parallelogram ABCD. B and D are the opposing angles in a similar way.
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 Write an equation in slope-intercept form of the line that is parallel to the one given and passes through the given point
(1,3); y=7x+5
An equation in slope-intercept form of the line that is parallel to the one given and passes through the given point is y=7x+5.
x - axis interception points of [tex]$7 x+5: \quad\left(-\frac{5}{7}, 0\right)$[/tex]
y - axis interception point of [tex]$7 x+5: \quad(0,5)$[/tex]
X-Intercepts: [tex]$\left(-\frac{5}{7}, 0\right)$[/tex], Y Intercepts: (0,5)
Slope of [tex]$7 x+5: \quad m=7$[/tex]
Steps
7x+5
What is line equation?
For a line equation for the form of y=m x+b, the slope is m. m=7
The first step to answering this question is to find the slope of the first line. To do that, we need to put it in slope-intercept form.
y=7x+5 => y=7x+5
So the slope of this line is 7. Perpendicular lines have a negative reciprocal slope, so the slope of the perpendicular line is 7. Using that and the point (1,3) we can make an equation for the line in point-slope form: We can then convert this into slope intercept form.
=> y=7x+5
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Find an explicit formula for the following equence, an which tart with a1=23. 23,34,45,56,…
The explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11. Here the first term is a1 = 23 and the common difference is d = 11.
What is the explicit formula for an arithmetic sequence?The explicit formula for an arithmetic sequence gives the nth term of the sequence. I.e.,
aₙ = a1 + (n - 1)d
Here a1 is the first term; d is a common difference, it is calculated by
d = aₙ₊₁ - aₙ = aₙ₋₁ - aₙ
Calculation:The given sequence is 23, 34, 45, 56,...
Here the first term a1 = 23
So, the common difference between the terms in the sequence is
d = 34 - 23 = 11
Then, the explicit formula for the given sequence is
aₙ = a1 + (n - 1)d
⇒ aₙ = 23 + (n - 1)11
Therefore, the nth term of the explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11.
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A department store buys 200 shirts at a cost of $2,400 and sells them at a selling price of $20 each. Find the percent markup.
If the store buys 200 shirts for $2400 and sells for $20 each then the percent markup is = 66.67% .
In the question ,
it is given that ,
the number of shirts that departmental store buys is = 200 shirts .
the cost price for 200 shirts is = 2400
So , the cost for 1 shirts is = 2400/200 = $12 ,
the selling price for 1 shirt is = $20 ,
the percent markup can be calculated using the formula ,
percent markup = (selling price - cost price)/(cost price) × 100 ,
= (20 - 12)/12 × 100
= 8/12 × 100
= 800/12
= 66.66666
≈ 66.67 % .
Therefore , percent markup is 66.67% .
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PLEASE HELP!!!! ASAP!!
Answer:
2
Step-by-step explanation:
This question is asking about the multiplication rule of exponents. When you multiply two exponents of the same base, the exponents add. With the parameters x=4, y=6, and z=8, the first one is true because 2+4=6. The third one is true because 6+6=12. The second one isn't true because 6+8=14, not 4.
Suppose you deposit $100 in Account A with
a simple interest rate of 3.4%, and $300 in
Account B with a simple interest rate of 1.8%.
One year later, you get
a bank statement
that
shows the interest for Account A is
$3.40 and the
interest for Account B is $540.00.
a. Which account statement is incorrect?
b. What may have been the bank's error?
The account statement for Account B is incorrect.
What is simple rate of interest?
Simple rate of interest is a type of interest calculation where interest is calculated only on the principal amount of a loan. Simple interest is calculated periodically, usually monthly or annually, as a fixed percentage of the principal. It is different from compound interest, which applies interest to both the principal and the accumulated interest. It is simpler to calculate than compound interest, and is generally used for short-term loans.
Given: Account A: $100, 3.4% and Account B: $300, 1.8%
We know, Simple Interest = Principal × Rate × Time
Interest for Account B = $300 × 1.8%
= $5.40
The bank statement after one year should be $5.40 instead of $540.00.
Hence, Account B's statement is incorrect.
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n is m% of what? Help please :)
Answer:
Step-by-step explanation:
m% = m/100
what = a variable ... "x". for example.
"is" means "="
"of" means multiply
n = (m/100)•x
What answer is the best one? Pls help me
we know ,
the probability=no of repeated value/total number
factorial of 3 and 2
and factorial of total number
=3ḷ×2ḷ/7ḷ
=3×2×1×2×1/7×6×5×4×3×2×1
=1/7×5×4×3
=1/420
=0.23809
or
=0.238
what is Probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.
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If ur good at geometry can u help Solve for m given that the perimeter of the triangle is 19 centimeters.
Answer:
m = 7cm
Step-by-step explanation:
Perimeter of a triangle is all the sides added up, so a+ b + c.
Given that a= 6 and b= 6, that's 12cm together. So just subtract the perimeter 19cm by 12cm to get your answer of 7cm.
Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each. A photo store charges $0. 55 to print each photo. How many photos must Rick print before his total cost is less than getting prints made at the photo store? More than 718 photos. Less than 718 photos. More than 900 photos. Not enough information to solve
The 718.85 < x inequality says that : He must print 719 photos or more.
Given,
In the question:
Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each.
and, A photo store charges $0. 55 to print each photo.
To find the how many photos must Rick print before his total cost is less than getting prints made at the photo store?
Now, According to the question:
Let the photos be x
Rick bought a photo printer be $186.90
A photo store charges $0. 55 to print each photo.
The question is based on inequality:
Photo Printer < photo store
1.86.90 + 0.29x < 0.55x
- 0.29x - 0.29x
______________________
1.86.90 < 0.26x
Divide by 0.26x on both sides
= 718.85 < x
Hence, The 718.85 < x inequality says that : He must print 719 photos or more.
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Timmy received $50 for his birthday. Following the birthday party, his parents promised him $5 each week for completing his chores. Assuming timmy completes all chores, use a linear equation to determine the number of dollars timmy will have 7 weeks after his birthday.
Assuming timmy completes all chores, the number of dollars timmy will have 7 weeks after his birthday is 85 dollars.
What are equations?In mathematics, an equation is a claim that two expressions are equivalent. It is a mathematical expression that employs the equals symbol, "=", to indicate that two quantities have values that are equal. Problems in algebra, geometry, calculus, and other branches of mathematics are frequently solved using equations. In algebra, equations are frequently used to depict the connection between variables and constants, as well as to discover the value of an unknown variable. For example, the equation x + 2 = 5 may be utilised to get the value of x, which is 3. Equations can be linear, quadratic, or higher-degree, and they can involve multiple variables.
How to solve?
Let x be the number of weeks after Timmy's birthday.
The total number of dollars Timmy will have after x weeks is 50 + 5x.
Therefore, Timmy will have 50 + 5(7) =85 dollars after 7 weeks
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kjlklnlkjklnnnnnnnnnnnnnlkhi
Answer:
yes seems like you understand
Answer:
yes
Step-by-step explanation:
yes
which of the following represents 3 square root x^2 in exponential form?
Answer:
D
Step-by-step explanation:
the numerator of the exponent is the exponent of x
the denominator is the the index of the root
A state seal, which is round, hangs in the capitol building. It has a radius of 2 yards. What is the seal's diameter?
Step-by-step explanation:
you do understand that the diameter of a circle is simply 2 times the radius, yes ?
imagine a circle and you draw a radius line (from the center of the circle to the circle arc).
and now imagine to draw another radius line, just in the opposite direction.
when you look at the result, you have 1 straight line going from the circle arc to the circle arc and passing through the center of the circle. that is what a diameter is.
how long is it ? well, we drew 2 radius lines to create this line. so, it is 2×radius long.
so, the diameter of the seal is
2×2 = 4 yards
imran s father is 50 years old and Imran is 2 years old now . how many years ago was Imran s father was three times as old as him
Answer:
25
solution
50=3x
or, 50/3=x
or, x=16.66
hence,imran father will 16 years
Lillian has a rectangular garden with an area of 10x2 +33x – 7 square feet. Find the expressions that would represent the length and width of the garden. Make sure you show all your work for full credit.
Attempt was made but incorrect
(1 pt)
Correct but no work shown OR less than half the work is correct
(2 pts)
About half of the work is correct
(3 pts)
Most of the work is correct (4 pts)
Fully Correct with all work shown
(5 pts)
If Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that, Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet.
We have to find the expression representing the length and width of the garden.
[tex]=10x^2+33x-7 \\\\ =\left(10x^2-2x\right)+\left(35x-7\right) \\\\ =2x\left(5x-1\right)+7\left(5x-1\right)\\\\ =\left(5x-1\right)\left(2x+7\right)[/tex]
The area of the rectangular garden is,
A = L × B
Comparing the expression with the obtained expression we get the expressions that would represent the length and width of the garden as,
A= (5x-1)(2x+7)
Thus, if Lillian has a rectangular garden with an area of 10x² +33x – 7 square feet. The expressions that would represent the length and width of the garden will be (5x-1)(2x+7)
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- 1/4 * (x - 26) = - 200 Solve the equation for x.
Answer:
x=826
Step-by-step explanation:
Which of the following equations is correct? Select all that apply.
Answer:
option a is correct i.e 6.25 = 25/4
Step-by-step explanation:
= 6.25
= 625 / 100
both being divisible by 5
we get
= 25/4
the initial population of a town is 100,231 and it grows with a doubling time of 98 years. what will the population be in 31 years?
If the initial population of a town is 100,231 and it grows with a doubling time of 98 years, the population after 31 years is 124803
The initial population of the town = 100231 people
The doubling time = 98 years
We have to find the population in 31 year
The exponential function will be
f(t) = fo(2)^(t/98)
f(t) is the population of the town in t years
fo is the population of the town in t = 0 years
t is the number of years
2 because it doubling time
The value of t = 31 years
Substitute the values in the function
f(31) = 100231×(2)^(31/98)
Do the arithmetic operations
f(31) = 100231 × 1.245
f(31) = 124803.23
f(31) ≈ 124803
Therefore, the population after 31 years is 124803
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If I was born in 2008, how many years do I need to be 18?
Answer:
4 more years
Step-by-step explanation:
you were born in 2008, you should be 14 now or soon, by the end of the year. So 4 in 4 years you would be 18.
Answer: Simple, you are 14 right? So 4 more years
Step-by-step explanation:
Add 14+4 and you'll get 18.
the sum of two consecutive if the first one is n
Step-by-step explanation:
The sum of two consecutive integers if n is the first integer.
consecutive means immediately after, so we have:
n
n + 1
The sum is written as:
n + n + 1
Grouping like terms, we have:
(n + n) + 1
2n + 1
Norberto received the following scores on his last five spelling tests: 88, 76, 93, 85, and 98. Which of the following statements is
true?
The median of the set of scores is 93.
The mean and median of the set of scores are the same.
The mode of the set of scores is 88.
The mean of the set is less than the median.
The yearly profits of a company is $25,000. The profits have been decreasing by 6% per year. Write an exponential function that represents this scenario.
Answer: taxes
Step-by-step explanation:
Is this a function? Explain, why or why not!
8
6
4
2
0
0
2
4
6
Edit View Insert Format Tools Table
Answer:
Yes
Step-by-step explanation:
Every input has only one output.
Graph y=-4x+8 please.
Answer:
attached is the graph and other data
Step-by-step explanation:
What is the value of x? Please give steps on how you did it. Please, Hurry it is due at 11:59 pm.
Answer:
51/3
Step-by-step explanation:
Angles opposite congruent sides of a triangle are congruent.
[tex]x+17=4x-34 \\ \\ 17=3x-34 \\ \\ 51=3x \\ \\ x=51/3[/tex]
The circumference of a circle is 11π cm. What is the area, in square centimeters? Express your answer in terms of π.
Answer:
The area of the circle is 30.25π cm^2.
Step-by-step explanation:
The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.
Substituting this value for r into the formula for the area of a circle, we get:
A = π * (5.5 cm)^2
= π * 30.25 cm^2
= 30.25π cm^2
Therefore, the area of the circle is 30.25π cm^2.
Cozy nights industries manufactures down-filled comforters and uses activity-based costing. The following information is provided for september. Activity estimated indirect activity costs allocation base estimated quantity of allocation base materials handling $ 12,600 number of parts 4,200 parts assembly 55,440 number of parts 4,200 parts packaging 10,920 number of comforters 1,050 comforters each comforter consists of 4 parts and the direct materials cost per comforter is $14. 0. Based on the information given for cozy nights industries, what is the total cost of packaging each comforter?.
The required total cost of packaging each comforter is $89.20.
How to calculate the total cost of packaging each comforter?Activity estimated indirect activity costs allocation base estimated quantity of allocation base,
materials handling $ 12,600 number of parts 4,200 parts
Cost per part = $ 12,600/4,200 = $3
assembly$ 55,440 number of parts 4,200 parts,
Cost per part = $ 55,440/4,200 = $13.20
packaging $10,920 number of comforters 1,050 comforters each comforter consists of 4 parts
Cost per part =$10,920 /1,050 = $10.40
Then, For all cost of 4 parts,
Materials handling = ($3 x 4) = $12
Assembly = ($13.20 x 4) = $52.80
Packaging = ($10.40 x 1) = $10.40
Total overhead cost = $75.20
And Direct materials cost = $14.00
So, total manufacturing cost = $75.20 + $14.00 = $89.20
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You have a $40 coupon and a 10% off
promotional dicount for a limouine rental. The cot
of the limouine i $100 per hour, plu a 20% gratuity. You rent the limouine for 4 hour. Ue compoition
of function to find the amount you pay in each
ituation. A. The coupon i applied before the promotional
dicount. B. The promotional dicount i applied before
the coupon
When we apply coupon before promotional discount, we have to pay $396.
When we apply promotional discount first and then coupon, we have to pay $392
Given,
The coupon amount = $40
Promotional discount = 10%
The rent per hour = $100 + 20% gratuity
The rent for 4 hours including gratuity = (100 × 4) + (100 × 4 + 10/100) = $480
We have to find the amount for the situations given below;
a) The coupon is applied before the promotional discount;
Here,
Coupon deduction;
480 - 40 = $440
Promotional discount deduction;
10% of 440 = 44
Then,
440 - 44 = $396
We have to pay $396.
b) The promotional discount is applied before coupon;
Here,
Promotional discount deduction;
10% of 480 = 48
Then,
480 - 48 = $432
Coupon deduction;
432 - 40 = $392
We have to pay $392.
Therefore,
When we apply coupon first and then promotional discount, we have to pay $396
When we apply promotional discount before coupon, we have to pay $392.
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Which statement about 56 – 34 is true?
A The least common denominator is 6.The least common denominator is 6.
B The difference is a whole number.The difference is a whole number.
C The least common denominator is 12.The least common denominator is 12.
D The difference is a mixed number.The difference is a mixed number.
Since, Both the numbers used for the difference calculation are whole numbers, The answer is B) The difference is a whole number.
What are real numbers?Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1) and fractions (1/2, 2.5).
What are whole numbers?Whole numbers are natural numbers including zero with it.
56 is a whole number
34 is a whole number
the difference, 56-34 = 22 is also a whole number.
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