Answer:
Step-by-step explanation:
By the Pythagorean Theorem
\(h^2=x^2+y^2\\ \\ 18^2=6^2+y^2\\ \\ y^2=18^2-6^2\\ \\ y^2=324-36\\ \\ y^2=288\\ \\ y=\sqrt{288}\\ \\ y\approx 17.0ft\)
ANSWER ASAP!!! Identify the transformation.
Translation 5 units
right, 1 unit down
Reflection across y-
axis
Translation 5 units
left, 1 unit up
90 Rotation counter
clockwise
Answer:
I'm gonna say the third one, 5 units left and 1 unit up
Step-by-step explanation:
problem 7. let a be an n xn matrix. (a) prove that if a is singular, then adj a must also be singular. (b) show that if n ≥2, then det(adj a) = [ det(a) ]n−1 .
The both statements are proved that,
(a) If A be an n*n matrix and is singular matrix then adj A is also singular.
(b) If n ≥ 2, then |adj (A)| = |A|ⁿ⁻¹.
Given that the A is a matrix of order n*n.
(a) So, |adj (A)| = |A|ⁿ⁻¹
When A is a singular so, |A| = 0
So, |adj (A)| = |A|ⁿ⁻¹ = 0ⁿ⁻¹ = 0
Hence, adj(A) is also singular matrix.
(b) Now, we know that,
A*adj(A) = |A|*Iₙ, where Iₙ is the identity matrix of order n*n.
Now taking determinant of both sides we get,
|A*adj(A)| = ||A|*Iₙ|
|A|*|adj (A)| = |A|ⁿ*|Iₙ|, since A is a matrix of n*n
|A|*|adj (A)| = |A|ⁿ, since |Iₙ| = 1, identity matrix.
|adj (A)| = |A|ⁿ/|A|
|adj (A)| = |A|ⁿ⁻¹
Hence the second statement is also proved.
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What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?
Answer:
1/-2
Step-by-step explanation:
Slope formula
\(\frac{y2-y1}{x2-x1}\)
Plug in your numbers
\(\frac{4-1}{-8-(-2)}\)
(-8-(-2) would turn into -8+2 because they are both negative.
\(\frac{4-1}{-8+2} = \frac{3}{-6}\)
Simplify.
How to get the equation of a line
Answering the Question
There are a couple ways we can get the equation of a line, depending on what we're given.
The Equation FormMost linear equations are organized in slope-intercept form:
\(y=mx+b\)
m = slopeb = y-interceptSlopeThe slope of a line can be calculated algebraically when we know two points that fall on the line:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\((x_1,y_1)\) and \((x_2,y_2)\) are the two pointsY-interceptThe y-intercept is the value of y when the line crosses the y-axis, or when x = 0. When given a graph, you can sometimes read the y-intercept directly from the graph.
For instance, if the line passes through the point (0,5), then the y-intercept is 5.
You can also find the y-intercept algebraically if you know the slope and one point that falls on the line. You plug in that point as (x,y) and isolate b.
Summary
For most cases, you can use the following method to find the equation of a line:
Find the slope of the line (using the slope equation) and plug it into y=mx+bFind the y-intercept of the line algebraically and plug it into y=mx+bHelppppppppmeeeeeeee ee
lm sorry but l must answer question to open the locations
help me please guys I need help
Answer:
?
Step-by-step explanation:
what is 4/5 +3/2+5/3
Help I need the awnser asap
AABC = ADEF
B
C
E
F
Match BC to the corresponding part.
EF FD
ZE
Answer:
Is it not just EF?
Step-by-step explanation:
I mean BC is the bottom of the triangle so the corresponding part is just the other triangles bottom which is EF if it was just angle B it'd be just angle E but it's not it's both B and C so it's E and F
between 1998 and 2018, the proportion of adults who meet the weekly goal of 150 minutes of moderate exercise or 75 minutes of intense exercise has by percent.
The weekly goal of 150 minutes of moderate exercise or 75 minutes of intense exercise has increased by 22.9 percent.
The intensity of exercises depends on mostly the amount of energy you have to spend. But the time spent also differs. Intense exercises are basically exercises that require you to expend more energy than how much you spend on normal exercise. Any exercise becomes intense when you spend 70 to 85 percent of your maximum heart rate working out. It is vigorous but you get the same amount of calories burned.
Moderate exercises are the normal ones. These require normal intake of heart rate and energy but take more time. The walk from your house to your college/school or the normal crunches and all you do are perfect examples of moderate exercises.
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Solve the problem. Round dollar amounts to the nearest cent. Use ordinary interest (360 days in a year) unless otherwise indicated. Chris Owens bought a new computer system. To pay for the system, he borrowed $3,290 from the credit union at 10(1/3)% interest for 110 days. Find the interest.
To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:
Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)
Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.
A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.
It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.
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3ft by 4ft and 6in tallgind the volume
To find the volume of the box, start by converting the 6 inches into feet, using that 1 feet has 12 inches.
\(6in\cdot\frac{1ft}{12in}=0.5ft\)use the formula of the volume of a box
\(V=w\cdot h\cdot l\)w = 3ft
l = 4ft
h = 0.5ft
\(\begin{gathered} V=(3ft)\cdot(4ft)\cdot(0.5ft) \\ V=6ft^3 \end{gathered}\)The box holds 6 cubic feet of sand.
The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43,560 ft2. Find the volume in SI units of a reservoir containing 46.0 acre-ft of water.
Answer:
56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Step-by-step explanation:
1 meter = 3.28084ft
1 acre = 43,560 ft²
Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :
46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²
= 2003760/35.314670112
= 56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
you have 92,084 in sales (revenue). your expenses are made up of the following line items: payroll 36%, supplies &materials 41%, contracted services 1.5%, and miscellaneous expenses 3.5%. the remaining is gross profit which we call fund balance. based on the above information, what is the amount in dollars that you can project to allocate to total expenses
Determine the total percent expenses made on the items.
\(\begin{gathered} E=36+41+1.5+3.5 \\ =82 \end{gathered}\)Determine the 82% of 92,084 to obtain the amount allocated to total expenses.
\(\begin{gathered} \frac{82}{100}\times92084=0.82\times92084 \\ =75508.88 \end{gathered}\)Thus, ount allocated to total expenses is (in dollars) $75508.88.
It takes 4.5 hours for a ship traveling downriver to get from port A to port B. The return journey takes 6.3 hours. The river flows at 40 meters per minute. What is the distance between the two ports
The speed of the river is ...
.. (40 m/min)*(60 min/h)*((1 km)/(1000 m)) = 2.4 km/h
Here, we have,
speed = distance/time
Let d represent the distance between the ports. Let s represent the speed of the ship.
Downstream, we have
.. s +2.4 = d/4.5
.. s = d/4.5 -2.4
Upstream, we have
.. s -2.4 = d/6/3
.. s = d/6.3 +2.4
Now, we have the speed of the ship represented two ways. We assume the speed of the ship doesn't vary. so these are equal.
.. (d/6.3) +2.4 = (d/4.5) -2.4
.. 4.8 = d(1/4.5 -1/6.3) = d(4/63) . . . . . rearrange and simplify
.. 75.6 = d . . . . . . . . . . . . . . . . . . . . . . .multiply by 63/4
The distance between the two ports is 75.6 km.
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A compound event may consist of two dependent events.
A. True
B. False
A. True. A compound event may consist of two dependent events. Dependent events are those in which the outcome of the first event affects the outcome of the second event. For example, drawing a card from a deck and not replacing it before drawing a second card would be an example of dependent events.
Hexagon B is an enlargement of hexagon A by a scale factor of 5.2
If the area of A is 8 cm^2, calculate area of B
Answer:
216.32 cm²
Step-by-step explanation:
Given that the scale factor is 5.2 then the area scale is
(5.2)² , thus
area of B = area of A × (5.2)² = 8 × (5.2)² = 216.32 cm²
On her last reading quiz, Jianna got 87.5% of the questions correct. If she knows that she got 17.5 questions correct, how many questions were on the quiz?
There were 20 questions on the quiz.
Let's start by using algebra to solve the problem.
Let x be the total number of questions on the quiz.
If Jianna got 87.5% of the questions correct, then she got 0.875x questions
correct.
We also know that Jianna got 17.5 questions correct.
So we can set up the equation:
0.875x = 17.5
To solve for x, we can divide both sides by 0.875:
x = 20
Therefore, there were 20 questions on the quiz.
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A box made of two cubes with a side of 1 m contains goods worth 4,500.50 lei. The statement "an imaginary box made of 2,000 cubes with a side of 1 m holds the same type of goods, worth 9001000 lei is: a) true b) false
Answer:
The statement is false.
The volume of the box made of two cubes with a side of 1 m is:
Volume = (1 m * 1 m * 1 m) * 2 = 2 m^3
The value of the goods in the box is 4,500.50 lei.
The volume of an imaginary box made of 2,000 cubes with a side of 1 m would be:
Volume = (1 m * 1 m * 1 m) * 2,000 = 2,000 m^3
However, the statement claims that the imaginary box holds the same type of goods, worth 9001000 lei. This would mean that the value of the goods in the imaginary box is more than 200 times the value of the goods in the real box, which seems highly unlikely. Therefore, the statement is false.
Step-by-step explanation:
Elisa withdrew $26 at a time from her bank account and withdrew a total of $208. Frances
withdrew $49 at a time from his bank account and withdrew a total of $245. Who made the
greater number of withdrawals?
And how many withdrawals did each person make?
(Please help me!)
Answer:Elisa made the greater number of withdrawals
Step-by-step explanation:
208 divided by 26 is 8
245 divided by 49 is 5
Answer:
5
Step-by-step explanation:
divid lol
A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags.
What is the estimated revenue, in dollars, when the bags are priced at $13 each?
(revenue = price × number sold)
1) 1,300
2) 1,100
3) 1,040
4) 880
The estimated revenue, in dollars, that the club will generate when the bags are priced at $13 each is 3) 1,040.
What is the revenue formula?The revenue formula is the multiplication of the number of units sold and the price per unit.
To determine the total revenue, we must first ascertain the unit price and the quantity sold.
We know that market forces and the competitive environment determine the quantity sold or supplied.
The demand for tote bags at $11 = 100 units
Decrease in demand for every $1 price increase = 10 units
When the price is $13 each, the units to be sold = 80 (100 -10 x 2)
The total revenue at $13 each = $1,040 (80 x $13)
Total revenue at $12 each = $1,080 (90 x $12)
Total revenue at $11 each = $1,100 (100 x $11)
Thus, we can conclude that the club generates less revenue when it increases its price per tote bag from $11 to $13, justifying the interactions between supply, demand, and cost.
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14 is 10% of ____?
Or what is 14 10% of
Answer:
THE ANSWER TO THE TOP LINE IS: 140
Step-by-step explanation:
why? becuase 10 times 10 is 100 all whole fractions need to be ?/100 (something over 100) so then becuase you did 10 times ten to find what 14 is you do 14 times 10. it should look like this :D.
10*10=100
14*10=140 . 140/100 is your answer or 140 :)
Find the greatest common divisor of the following polynomials over q, the field of rational numbers. (a)x3- 6x 7andx 4. (b)x2-1and2x7- 4x5 2.
(a) The greatest common divisor of \(x^3\) - 6x - 7 and \(x^4\) is 1.
(b) The greatest common divisor of \(x^2\)- 1 and 2\(x^7\) - 4x\(^5\) + 2 is 1.
(a) To find the greatest common divisor (GCD) of the polynomials, we can use polynomial long division.
Dividing \(x^3\) - 6x - 7 by \(x^4\), we get a remainder of \(x^3\) - 6x - 7.
Since the remainder is non-zero, the GCD of \(x^3\) - 6x - 7 and \(x^4\) is 1.
(b) To find the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2, we can again use polynomial long division.
Dividing 2\(x^7\) - 4\(x^5\) + 2 by \(x^2\) - 1, we get a remainder of 2\(x^5\) + 2.
Since the remainder is non-zero, the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2 is 1.
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What is the value of 5/z when z=2
The mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is .35. If the price increases by 25 cents a box, what is the new variance?
The new variance is 0.0625 / n
We can use the following formula to calculate the variance of a data set
variance = (sum of (x - mean)^2) / (number of data points)
where x is a data point and mean is the mean of the data set.
If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows
standard deviation = square root of variance = sqrt(0.35) = 0.59
Now, if the price increases by 25 cents a box, the new mean cost will be
new mean = $4.00 + $0.25 = $4.25
To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.
sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n
where n is the number of data points.
Therefore, the new variance can be calculated as
new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n
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The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer in simplest form. ( wouldn't allow me to insert full picture. will message it to you.)
To find the scale factor, we just have to divide
\(\frac{8}{20}=\frac{2}{5}\)Hence, the scale factor is 2/5.WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!
Answer:
b
Step-by-step explanation:
the answer is b
in the problem you can put the expression into a calculator and you will get the answer 3
in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3
I HOPE I HELPED A BIT<3
Consider the relation given by the graph below.
a) Is the relation a function? Why or why not?
b) Determine the domain and range of the graph.
The given relation is function, because the curve of y = p(x) has its exist for every x in its domain(-6, 3) and the range of the function is lies between (-1, 9).
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent while Y is dependent variable.
As Clearly the shows in the graph the structure is decreasing, increasing and then decreasing. And implies, curve is continuous in its limits and for every x (-6,3) there is exist in range of y(-1, 9).
Thus, The given relation is function, and domain is (-6, 3) and the range of the function is lies between (-1, 9).
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1. Both fixed and variable factory costs are included as a part of cost of goods sold when accounting for absorption costing. 2. Both fixed and variable factory costs are included as a part of cost of goods sold when accounting for variable costing. that of absorption costing. 3. When units manufactured are less than the number of units sold, the variable costing income from operations will be a. less than b. greater than c. equal to d. None of these choices are correct.
The statements 1 and 2 are false. When units manufactured are less than the number of units sold, the variable costing income from operations will be greater than the absorption costing income from operations.
The statement 1 is false. In absorption costing, both fixed and variable factory costs are included in the cost of goods sold.
This is because absorption costing assigns a portion of fixed factory costs to each unit of production, treating them as a product cost.
Variable factory costs, which vary with the level of production, are also included in the cost of goods sold. This method aims to allocate both fixed and variable costs to the units produced.
The statement 2 is also false. In variable costing, only variable factory costs are included in the cost of goods sold.
Fixed factory costs are treated as period costs and are not assigned to individual units of production.
Instead, they are expensed in the period incurred. This method provides a clearer picture of the cost behavior and allows for better analysis of the contribution margin.
When units manufactured are less than the number of units sold, the variable costing income from operations will be greater than the absorption costing income from operations.
This is because variable costing treats fixed factory costs as period costs and does not allocate them to the units produced.
As a result, the fixed costs incurred in the period are not absorbed into the cost of goods sold.
In contrast, absorption costing assigns a portion of fixed factory costs to each unit, so when fewer units are produced and sold, the fixed costs are spread over a smaller number of units, leading to higher per-unit costs and lower income from operations compared to variable costing.
Therefore, the variable costing income from operations will be greater than the absorption costing income from operations when units manufactured are less than the number of units sold.
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The federal tax code allows some items used for business purposes to be depreciated. That is, their taxable value decreases over time. A new van used in your delivery business has a taxable value of $28,000. The tax code allows you to depreciate this van by $1900 per year. Find a formula that gives the taxable value T, in dollars, of the van after n years of depreciation.
Answer:
The formula is ;
T = 28000 - 1900(n)
Where n is the number of years of depreciation after the first year
Step-by-step explanation:
In this question, we are tasked with finding a formula which gives the taxable value T in dollars of the van after n years of depreciation.
From the question, we are told that initially, the taxable value is $28,000 but each year, there is a depreciation value of $1,900
Now since the depreciation value is constant, by multiplying the number of years by the depreciation value, we can get the amount which has been depreciated off the taxable value.
Thus, we are told that the number of years is n after the first year
The taxable value T = 28,000 - 1900(n)
Where n is the number of years after the initial year
The base of a rectangular crayon box is 8 centimeters long and 4 centimeters wide. Its height is 10 centimeters. What is the volume of the crayon box?
Answer:
320
Step-by-step explanation:
first we find the base of the box which is 8 x 4 = 32. then take base x height whcih is 32 x 10 = 320