Answer:
y = -2/5 x + 1
Step-by-step explanation:
slope = -2/5
y-3 = -2/5 (x -(-5)
y-3 = -2/5 (x+5)
y - 3 = -2/5 x - 2
y = -2/5 x - 2 + 3
y = -2/5 x + 1
convert 62/80 to a decimal and to a percent
Arrange the following numbers in increasing order (smallest first, biggest last):
A = 2*1/2*4*1/6
B = 12*128
C = 1*8*1/5^2
D = 4*(-1)/2*(-1)*8*(-1)
E = 3*2^(1/2)*4*1/4
The numbers arranged in increasing order are D < C < A < E < B.
We are given a set of five numbers. The numbers are represented by the variables A, B, C, D, and E. The numbers need to be calculated. The numbers are solved below.
A = 2*1/2*4*1/6 = 2/3 = 0.667
B = 12*128 = 1,536
C = 1*8*1/5² = 8/25 = 0.32
D = 4*(-1)/2*(-1)*8*(-1) = -16
E = 3*√2*4*1/4 = 3√2 = 4.24
We need to arrange the numbers in increasing order. Ascending order refers to the arrangement of numbers in increasing order, from least to greatest. The numbers in ascending order are given below :
-16 < 0.32 < 0.667 < 4.24 < 1,536
The increasing order of the corresponding variables is : D < C < A < E < B.
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The demand for an item is given as Q=2500-6P where P is the pric supply is Q=1750 +4P. How many units Q must be made for supply to equ
The quantity of items tha must be made for supply to equal demand is 2050 items
What is demand?Demand simply means a consumer's desire to buy goods and services without any hesitation and pay the price for it.
To calculate the unit of quantity Q that must be made for demand to be equal to supply, we equate the demand and supply equation.
From the question,
For Demand
Q = 2500-6P............... Equation 1From Supply,
Q = 1750+4P........... Equation 2When supply is equal to demand
2500-6P = 1750+4PSolve for P
10P = 2500-175010P = 750P = 750/10P = 75Substitute the values of P into equation 1
Q = 2500-6(75)Q = 2500-450Q = 2050Hence, the quantity of items tha must be made 2050 items.
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Add vegetable stand a person can buy two bags of apples and two bags of potatoes for $11 at a farmers market the same person by two bags of apples and three bags of potatoes for $13 assuming the prices are the same what is the price of each bag of apples in each bag of potatoes use the matrix equation to solve the system of equations
The price of each bag of apples is $3.5 and price of each bag of potatoes is $2.
Given:
a person can buy two bags of apples and two bags of potatoes for $11 at a farmers market the same person by two bags of apples and three bags of potatoes for $13.
Let x be the apples and y be the potatoes.
2x + 2y = 11
2x + 3y = 13
on solving:
2x + 2y - 2x - 3y = 11 - 13
2y - 3y = -2
-y = -2
y = 2
2x + 2y = 11
2x + 2*2 = 11
2x + 4 = 11
2x = 7
x = 7/2
x = 3.5
Therefore The price of each bag of apples is $3.5 and price of each bag of potatoes is $2.
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Answer:
Apples cost $3.50, potatoes cost $2.
Step-by-step explanation:
If you only add one bag of potatoes and the price jumps two dollars, then the potatoes cost two dollars each. We can substitute this into the equation, which can be solved to find apple price.
Express the angle in radian measure.
-22½°
a. -π/8
b. -π/4
c. -π/16
the answer is a, -π/8
need help???????????????????
Step-by-step explanation:
it is totally simple : you need to put the x-value into every place of the x-variable, and then we calculate.
and then the same for the next x-value. and the next. ...
-2
-2×-2 + 9 = 4 + 9 = 13
0
-2×0 + 9 = 0 + 9 = 9
2
-2×2 + 9 = -4 + 9 = 5
4
-2×4 + 9 = -8 + 9 = 1
Using the table, what is the average daily balance of the credit card for the August 1 through August 31 billing period? Round your answer to the nearest dollar.
Day Activity Adjustment Closing Balance
1 -- -- 950
8 Payment −600 350
16 Purchase +300 650
24 Purchase +250 900
Using the table, the average daily balance of the credit card for the August 1 through August 31 billing period is $705.
What is the average daily balance?The average daily balance refers to the computed total balance divided by the number of days in the billing cycle.
The computed total balance is the sum of closing balance multiplied by the number of days covered in the billing cycle before the next credit card transaction or activity.
Day Activity Adjustment Closing Balance No. of days Total
1 -- -- 950 7 $6,650
8 Payment −600 350 8 2,800
16 Purchase +300 650 8 5,200
24 Purchase +250 900 8 7,200
Total 31 $21,850
Average daily balance = $705 ($21,850/31)
Thus, the average daily balance on the credit card is $705.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The side x of the right triangle is 235.72 units.
How to find the sides of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be found using trigonometric ratios or Pythagoras theorem depending on the sides and angles given.
Hence, let find the value of x in the combine right triangles.
Therefore,
tan 28 = opposite / adjacent
tan 28 = 105 / l
cross multiply
l = 105 / tan 28
l = 105 / 0.53170943166
l = 197.479781832
l = 197.50
tan 70 = 105 / a
a = 105 / tan 70
a = 38.2168804325
a = 38.22
Therefore,
x = 197.50 + 38.22
x = 235.72 units
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Which rule applies to this equation? (6)(3 π) = 18 π
Rational x Irrational = Rational
Rational x Irrational = Irrational
Rational x Rational = Rational
Irrational x Irrational = Irrational
Answer:
Rational x Irrational = Irrational
Step-by-step explanation:
6 is a rational number. It can be written as an integer over and integer [tex]\frac{6}{1}[/tex]
[tex]\pi[/tex] is irrational. This is a number that never repeats or terminates, so it can not be written as an integer over and integer.
Answer: Choice B
Rational x Irrational = Irrational
==============================================
Reason:
6 = a rational number
3pi = an irrational number
18pi = an irrational number
Anything involving pi is irrational. The value 6 is rational because 6 = 6/1.
pi is irrational since we cannot write it as a ratio of two integers. We can get approximations like 22/7, but we can't nail down the exact value of pi with a fraction.
Sunland Company reports the following information (in millions) during a
recent year: net sales, $11,257.9; net earnings, $327.9; total assets, ending,
$5,560.0; and total assets, beginning, $5,370.0.
(a) Calculate the (1) return on assets, (2) asset turnover, and (3) profit
margin. (Round answers to 1 decimal place, e.g. 6.2% and 6.2.)
The calculation of the required financial ratios for Sunland Company is as follows:
The return on assets is 6%.
The Asset Turnover is 2.06 times.
The profit margin is 2.9%.
What are financial ratios?Financial ratios express the numerical relationships of two or more financial statement elements.
Financial ratios are used to make comparisons of the financial performance or position of companies from one year to another (trend analysis) and between companies or the industry average.
Net sales $11,257.9
Net earnings $327.9
Total assets, ending = $5,560.0
Total assets, beginning = $5,370.0
Average assets = (Beginning total assets + Ending total assets) ÷ 2
= $5,465 ($5,560 + $5,370)/2
Return on assets = Net earnings/Average total assets x 100
= 6% ($327.9/$5,465 x 100)
Asset Turnover = Net Sales/Average total assets
= 2.06x ($11,257.9/$5,465)
Profit margin = Net earnings/Net Sales x 100
= 2.9% ($327.9/$11,257.9 x 100)
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Your classmate is starting a new fitness program. He is planning to ride his bicycle 60 minutes every day. He burns 8 calories per minute bicycling at 11 mph and 12.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 575 calories?
The distance it should take my classmate to ride the bicycle at each speed to burn 575 calories would be = 13.2m for first speed and 11.3m for the second speed.
What is a fitness program?A fitness program is defined as the program that is adequately organised for the purpose of maintaining proper healthy calories.
The period he plans to ride the bicycle for a day = 60minutes.
For the first speed,
8 cal/ min = 11mph
To convert to hour,
8 × 60 =480
He burns 480cal per hour in 11mph speed
If 480cal = 11 mph
575 cal = X
make X the subject of formula;
X = 575×11/480
X = 6325/480
X = 13.2 m
For the second speed;
12.75 cal/ min = 15mph
To convert to hour,
12.75 × 60 =765cal
He burns 765cal per hour in 11mph speed.
If 765cal = 15mph
575 cal = y
make y the subject of formula;
y = 575 × 15/765
y = 8625/765
y = 11.3 m
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At a particular restaurant, each pizza roll has 65 calories and each chicken wing has 50 calories. A combination meal with pizza rolls and chicken wings is shown to have 1015 total calories and 5 more pizza rolls than chicken wings. Determine the number of pizza rolls in the combination meal and the number of chicken wings in the combination meal
I need assistance with this math assignment
a) The maximum height of the ball is 100 feet.
b) The velocity of the ball on its way up is +16 feet per second.
c) The velocity of the ball on its way down is - 16 feet per second.
How to analyze quadratic equations to find the main features of a free fall
A free fall is an uniformly accelerated motion experimented by a particle due to the effects of gravity. The position of the ball (s) in time (t), in seconds, is described by a quadratic equation.
a) First, we find the maximum height reached by the ball:
s(t) = 80 · t - 16 · t²
16 · t² - 80 · t + s(t) = 0
Then, by using the discriminant:
(- 80)² - 4 · 16 · s(t) = 0
64 · s(t) = (- 80)²
s(t) = 100 ft
b) Second, find the function velocity by derivatives:
v(t) = 80 - 32 · t
Third, find the time related to the position s(t) = 96 ft:
s(t) = 80 · t - 16 · t²
100 = 80 · t - 16 · t²
16 · t² - 80 · t + 96 = 0
Then, by quadratic equation:
t = 3 s or t = 2 s.
Fourth, evaluate the function velocity:
v(2) = 80 - 32 · 2
v(2) = 16
v(3) = 80 - 32 · 3
v(3) = - 16
The velocity of the ball when s(t) = 96 ft on its way up is 16 feet per second.
c) The velocity of the ball when s(t) = 96 ft on its way down is - 16 feet per second.
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Solve the following equation below. Show each step and check your work.
72y - 126 = 522 + 144
Answer: y = 11
Step-by-step explanation:
Our problem: 72y - 126 = 522 + 144
1. Simplify 552 + 144 to 666
72y - 126 = 666
2. Add 126 to both sides
72y = 666 + 126
3. Simplify 666 + 126 to 792
72y = 792
4. Divide both sides by 72
y = [tex]\frac{792}{72}[/tex]
5. Simplify [tex]\frac{792}{72}[/tex] to 11
y = 11
solve x^2-4x+3=0 using the quadratic formula
Answer:
1 and 3
Step-by-step explanation:
discriminant = 16 - 4 * 1 * 3 = 16 - 12 = 4
x1 = (4 + √4)/2 = (4+2)/2 = 6/2 = 3
x2 = (4 - √4)/2 = (4-2)/2 = 2/2 = 1
Using a calculator, work out the value of
(7.6 x 10^-4) × (8.2 × 10^11)
Give your answer in standard form.
A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a repair cost of $300. The company offers an extended two-year warranty.
If a consumer does not purchase the extended warranty, then the consumer will need to pay for any necessary repairs. What is the expected value of their repair costs?
The expected value of their repair costs is $41.50.
How to calculate the repair cost?Given the probability of failure as 0.5%, this can be illustrated as 0.005.
The cost of repair is given as $300.
The expected value of the company will be:
= Earnings - [(Cost × P(failure)]
= 43 - (300 × 0.005)
= 43 - 1.50
= 41.5
The value is $41.50.
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Complete question
company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a repair cost of $300. The company offers an extended two-year warranty.
If a consumer does not purchase the extended warranty, then the consumer will need to pay $43 for any necessary repairs. What is the expected value of their repair costs?
H
3/21
(5,4)
Type here to search
U2FsdGVkX19Gmq6NxFwchHwtmTuzdHdnF2526%252BPKnZnmk4prUc006/EXe%252BwFFIHOATvP2Lrdy RyLSEw3w%253D%253D%
(5,2)
[12]
Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1).
Graph the figure and its rotated image after a
counterclockwise rotation of 180° about the origin.
What are the coordinates of T'?
6
(-3,-1)
6048 4787 3
(-3,-2)
721 PM
11/10/2012
The coordinates of T' are, T'(-3, -1).
What is rotation?
A rotation is a transformation in which each point of a preimage is turned through a predetermined angle and direction around a fixed point. The center of rotation is the fixed point. The term for the amount of rotation is the angle of rotation, and it is expressed in degrees. Measure the specified angle in the anticlockwise direction using a protractor.
Given: Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1).
We have to find the coordinates of T' after counterclockwise rotation of 180°.
Since, The rule for a rotation by 180° about the origin is (x, y) → (−x, −y).
So, the coordinates R(1, 1), S(1, 4) and T(3, 1) changes to R'(-1, -1), S'(-1, -4) and T'(-3, -1).
Therefore, the coordinates of T' are T'(-3, -1).
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In 6 years, a father wants to accumulate $110000 to pay for his daughter's college expenses. If he can get 8% interest, compounded quarterly, how much must he invest now to achieve his goal?
The amount that hw must invest to achieve the goal when it will be compounded annualy is $68750
Given Information:
Principal Amount (P) = to be calculated
Rate of Interest (r) = 8 %
Time Period (t) = 6
Amount Received (A) = $110000
Number of times the interest is compounded quarterly (n) = 4
The Formula for the amount received when the principal (P) is compounded is given by,
[tex]A = P( 1 + \frac{r}{100n} )^{nt}[/tex]
Now, putting the values, we get:
[tex]110000 =P( 1 + \frac{8}{100*4} )^{4*6}[/tex]
P = $68750
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!!PLEASE HELP!!
The path of a baseball is modeled by the equation [tex]y=-0.25x^{2} +4x+3[/tex] where x represents the time (in seconds) and y represents the height of the baseball.
- Find and interpret the y-intercept. Find the maximum height of the baseball. Then sketch a graph of the path.
(please provide steps on how to solve if you can)
Answer:
The y-intercept is when $x=0$ so $y=32\frac{ft}{s}*0-\frac{1}{2}*9.8*0^2=0$, so the ball starts on the ground. The maximum height is when $v=0$, so $0=32\frac{ft}{s}-9.8t$ and solving for $t$ we get $t=\frac{32}{9.8}=3.265s$, and plugging this back in for $y$ we get $y=32\frac{ft}{s}*3.265s-\frac{1}{2}*9.8*3.265^2=156.205 ft$. So the ball will be at its maximum height of 156.205 ft at 3.265 seconds.
Step-by-step explanation:
The $y$-intercept is $-1$. The maximum height of the baseball is when $y=0$; that is when $x=\ln(4)$. Here is a sketch of the path.
From the $y$-intercept, we see that the baseball starts at height $y=-1$. It reaches a maximum height at $x=\ln(4)$; that is, $y=0$. From there, it falls and reaches the ground at $x=2\ln(4)$; that is, $y=-1$ again.
92. Which key word would help you decide which operation to use to solve the following: If Kay has 5 pencils, but gives 1 to Mary, how many would she have left? (a) has (c) pencils (b) give (d) left
Answer:
Step-by-step explanation:
the correct answer is A.
because if Kay has 5 pencils and it is given to Merry 1, it means that Kay still has 4 pencils.
What is h in the parallelogram?
The value of h in the parallelogram is 4 feet
The area of the parallelogram = b × h
Where b is the base of the parallelogram
h is the height of the parallelogram
One side of the parallelogram = 6 feet
The second side of the parallelogram = 8 feet
If the base of the parallelogram is 6 feet
The area = 6 × h
If the base of the parallelogram is 8 feet
Then the area of the parallelogram = 8 × 3
= 24 square feet
In both cases the area will be equal, then the equation will be
6h = 24
h = 24 / 6
h = 4 feet
Hence, the value of h in the parallelogram is 4 feet
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Darren and Clara live in a tall building. Clara lives 12 floors above Darren. One day Darren went up to visit Clara and he took the stairs up from his apartment to Clara’s. Half-way up he was on the 8th floor. On what floor does Clara live? Show your work.
If Clara lives 12 floors above Darren, Clara lives on the 16 floor while Darren lives on the 4 floors.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Given that Darren and Clara reside in a towering structure, this is expected. Twelve stories above Darren, Clara resides. One day, Darren climbed the stairs from his apartment to Clara's and went to see her. He was halfway up, on the eighth floor.
Suppose Darren and Clara live on x and y number of floor respectively.
If Clara lives 12 floors above Darren.
x-y=12
If in halfway he is on the 8th floor the total number of floors in the building will be 16.
As a result, we can say that Clara lives on the 16 floors while Darren lives on the 4 floor.
Thus, if Clara lives 12 floors above Darren, Clara lives on the 16 floors while Darren lives on the 4 floors.
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Jayden took a taxi from his house to the airport. The taxi company charged a pick-up
fee of $4.10 plus $4.25 per mile. The total fare was $101.85, not including the tip.
Which equation could be used to determine m, the number of miles in the taxi ride?
Answer:10
Step-by-step explanation:
1.20 + (4.75 × x) = 48.701.20 + 4.75x = 48.70Collect like terms 4.75x = 48.70 - 1.204.75x = 47.50Divide both side by 4.754.75x/4.75 = 47.50/4.75.x = 10
One year, the population of a city was 215,000. Several years later it was 206,400. Find the percent decrease.
The percent of decrease is 4%.
One year, the population of a city was 215,000. Several years later it was 206,400.
To find out the percent decrease:
A fraction with denominator equals 100 to a percentage: 4%
Based on the given conditions, formulate: [tex]\frac{215000-206400}{215000}[/tex]
Calculate the sum or difference: [tex]\frac{8600}{215000}[/tex]
Cross out the common factor: [tex]\frac{1}{25}[/tex]
Multiply a number to both the numerator and the denominator: [tex]\frac{1}{25}* \frac{4}{4}[/tex]
Write as a single fraction: [tex]\frac{4}{25*4}[/tex]
Calculate the product or quotient: [tex]\frac{4}{100}[/tex]
Rewrite a fraction with denominator equals 100 to a percentage: 4%
Hence the answer is the percent of decrease is 4%.
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Question 9 of 10
Mark all the statements that are true.
A. This graph is not a function because the value x = 3 is assigned to
more than one y-value.
B. The equation of this line is x = 3.
C. This graph is a function whose range is the set (3).
D. This graph is a function because the value of x is the same for
every value of y.
E. This graph is a function whose domain is the set (3).
True statement are:
A. This graph is not a function because the value x = 3 is assigned to
more than one y-value.
D. This graph is a function because the value of x is the same for
every value of y.
Given,
In the question:
To see the graph :
Mark all the statement that are true.
Now, According to the question:
From the graph,
Equations are expressions of two mathematical expressions t such as two numbers, functions. An equality between quantities and operations, usually with an equal sign "=".
Functions is a correspondences between two sets that are not empty each element in the set of input values can corresponds to a element in a set of output values that is unique.
Hence, True statement are:
A. This graph is not a function because the value x = 3 is assigned to
more than one y-value.
D. This graph is a function because the value of x is the same for
every value of y.
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b) Write 13 x 10 in standard form.
Answer:
130 in standard form
100+30 in expanded form
Step-by-step explanation:
standard from is writing the sentence in a number fro example
three hundred seventy two is writen as 372 in standard for
expanded form is 300+70+2
Answer:
130 in standard form
In expanded form is100+30=1300
Step-by-step explanation:
For further example 4236
In standard form is 4236
In expanded form is 4000+200+30+6=4236
When planning a cruise, you have a choice of 3 destinations: Cozumel (C), Jamaica (J), or Grand Caymans (G); a choice of 2 types of rooms: balcony (B) or inside view (I); and a choice of 4 types of excursions: water sports (W), horseback riding (H), parasailing (P), or zip-lining (Z). If you are choosing only one of each, list the sample space in regard to the vacations (combinations of destinations, rooms, and excursions) you could pick from.
The sample space in regard to the vacations is 24
Choice of 3 destinations: Cozumel (C), Jamaica (J), or Grand Caymans (G) =
3C1
A choice of 2 types of rooms: balcony (B) or inside view = 2C1
And a choice of 4 types of excursions: water sports (W), horseback riding (H), parasailing (P), or zip-lining (Z) = 4C1
Choosing only one of each, the sample space in regard to the vacations
Sample space = choice of destination x choice of room x choice of water sports
= 3C1 x 2C1 X 4C1
= 3 x 2 x 4 = 24
Therefore, the sample space in regard to the vacations is 24
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Need help with question
The composite functions and their domains are listed as follows:
a) (f ∘ g)(x) = sin(2x/(x + 5)), domain is all real values except x = -5.
b) (g ∘ f)(x) = sin(2x)/(sin(2x) + 5), domain is all real values except x = -5 and the values of x for which sin(2x) + 5 = 0.
c) (f ∘ f)(x) = sin(sin(2x)), domain is all real values.
d) (g ∘ g)(x) = x/(6x + 5), domain is all real values except x = -5 and x = -5/6.
How to obtain the composite functions and their domains?
The composite functions are found applying the inner function as the input to the outer function, according to the rule presented as follows:
(f ∘ g)(x) = f(g(x)).
The domain is the set of values that respect all the input constraints of the inner function, of the outer function, and of the composite function.
For this problem, the functions are given as follows:
f(x) = sin(2x).g(x) = x/(x + 5).For item a, the inner function g is applied as the input to the outer function f, hence:
f(g(x)) = sin(2x/(x + 5))
The sine has no constrains, the fraction cannot have a denominator zero, hence the domain is composed by all real values except x = -5.
The other composite functions are listed as follows:
g(f(x)) = sin(2x)/(sin(2x) + 5), domain is all real values except x = -5(constraint of g(x)) and the values of x for which sin(2x) + 5 = 0.f(f(x)) = sin(sin(2x)), the domain is all real values, as the sine has no restriction.[tex]g(g(x)) = \frac{\frac{x}{x + 5}}{\frac{x}{x + 5} + 5} = \frac{x}{6x + 5}[/tex]
Domain is all real values except:
x = -5 -> constraint of g(x).x = -5/6 -> constrain of the composite function.More can be learned about composite functions at https://brainly.com/question/10687170
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brainliest if you’re correct !!!
thanks :)))))))
Angle BCD is the same as angle FGH which is 122
Step-by-step explanation:
congruent means that they have the same angles.
so, the angle BCD = 122