Answer:
y=3x-10
Step-by-step explanation:
y=mx+b
2=3(4)+b
2=12+b
b=-10
y=3x-10
A salesperson at a jewelry store earns 8% commission each week. Last week, Heidi sold $710 worth of jewelry . How much did she make in commission ? How much jewelry did the jewelry store make from her sales?
56.8 is the commision
Marco has 2 peices of rope that are each 8 yards long.how many feet of rope does m arco have
Answer:
48 feet
Step-by-step explanation:
Marco has 2 pieces of rope that are each 8 yards long.
2 x 8 = 16 yards.
Marco has a total of 16 yards of rope.
Note that for converting yard to feet, that: 1 yard = 3 feet.
Marco, in this case, has 16 yards. Multiply 16 yards with 3 feet to obtain your answer:
16 yards x (3 feet/1 yard) = 48 feet/16 yards.
Marco has 48 feet worth of rope.
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whats the percent? ............
Answer: 32%
Step-by-step explanation: add up the total and divide 16 by the total number of all people surveyed
Magic number puzzle. Help asap
Answer:
Step-by-step explanation:
1. 0
2. 3
3. 18
4. 33
5. 48
6. 198
The heights, in feet, of the trees for sale at two nurseries are shown below.
Yard Works: 7, 9, 7, 12, 5
The Grow Station: 9, 11, 6, 12, 7
Which statements are true regarding the measures of center and variability of these data sets? Select three choices.
The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
THIS IS URGENT NEED NOW
The correct option regarding the heights of the trees include:
The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow StationHow to calculate the value?The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station. This was illustrated as:
(12 - 5) > (12 - 7)
7 > 5
The mean of tree heights at Yard Works is 8 feet.
The mean of tree height at The Grow Station is 9 feet.
The mean absolute deviation of the tree heights at both yards is 2.
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recursively define the set of binary strings with more 0s than 1s.
0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.
What do binary strings mean?A series of bytes make up a binary string. A binary string is used to store non-traditional data, including images, as opposed to a character string, which typically holds text data. The quantity of bytes in a binary string determines its length. The CCSID for a binary string is 65535.Binary refers to this system of 1s and 0s. Because of the way they are made, computers only speak in binary. A computer is nothing more than a sizable number of switches. On those curiously engraved boards inside the computer, there are millions of microscopic electronic switches.If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y. A procedure P is defined recursively if its action, P(x), is defined in terms of another action, P(y), where x>y.Explanation:
0>1.
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what is 10 to the 10th power rounded to the nearest 10th?
Answer:
10,000,000,000
Step-by-step explanation:
[tex]10^{10}[/tex]= 10,000,000,000
rounded to the nearest 10th = 10,000,000,000
help meeeee please i do not understand this
Answer:
10.4 g/cm³
Step-by-step explanation:
Find the volume with formula, l x b x h
Then the formula gram / volume to find density.
what is the slope of line g
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -3 }{ 1 } \implies \text{\LARGE - 3}[/tex]
Based on statistics from a worldwide health organization, in 2005 there were 29.9 million people worldwide living with a certain disease, and 1.5 million deaths from the disease. By 2015, the number of people living with the disease had fallen to 28.8 million, and 2.6 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw. Part: 0/3 Part 1 of 3 The percent change in people living with the disease was [%, rounded to the nearest tenth of a percent 6 Thrice a number is 60 less than 5 times the number. Find the number.
The percent change for people living with the disease is 36.78% and with the number of deaths is 60%
In 2005 there were 29.9 million people worldwide living with a certain disease
By 2015, the number of people living with the disease had fallen to 28.8 million
Decrease in number of people living with a disease = 29.9 - 28.8 = 1.1
decrease in percentage of people living with a disease = (1.1/29.9)/100 = 36.78%
In 2005, 1.5 million deaths from the disease
In 2015, 2.6 million deaths were reported
change in number of deaths from the disease = 2.6 - 1.5 = 0.9
Change in percentage = (0.9/1.5) 100 = 60%
Therefore, the percent change for people living with the disease is 36.78% and with the number of deaths is 60%
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if A shop owner offered a 20% discount off the regular price of a mirror. The amount of the
discount is $3.
What is the regular price of the mirror?
Pls Help
the rectangular coordinates of a point are s2, 2, 21d. find the cylindrical and spherical coordinates of the point
The cylindrical and spherical coordinates of the point are ([tex]\sqrt{8}[/tex],0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Rectangular coordinates of a point is written like (x, y, z)
Cylindrical coordinates of a point is written like (r, θ, z)
Spherical coordinates of a point is written like (p, θ, φ)
First talk about Rectangular vs Cylindrical.
x = rcosθ
y = rsinθ.
z = z
x^2 + y^2 = r^2
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
r^2 = 4+4 = 8.
r = [tex]\sqrt{8}[/tex]
r = 2[tex]\sqrt{2}[/tex]
θ = [tex]tan \inv-1[/tex](y/x) = [tex]tan \inv-1[/tex](2/2) = [tex]tan -1[/tex](1) = 45° = 0.78rad .
z = -1.
So Cylindrical coordinates is (r,θ,z) = ([tex]\sqrt{8}[/tex],0.78,-1).
Now let's us talk about Rectangular vs Spherical Coordinates.
x = pcosθsinφ.
y= psinθsinφ.
z = pcosφ.
p^2 = x^2+y^2+z^2.
tanθ = y/x
cosφ = z/p = z/[tex]\sqrt{x^2+y^2+z^2}[/tex].
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
p = [tex]\sqrt{x^2+y^2+z^2}[/tex] = [tex]\sqrt{2^2+2^2+(-1)^2}[/tex] = [tex]\sqrt{9}[/tex] = 3
θ = [tex]tan -1[/tex](y/x) = 0.78rad .
φ = [tex]cos -1[/tex](z/p) = [tex]cos -1[/tex](-1/3) = 1.91rad
So Spherical coordinates is (3, 0.78rad, 1.91rad).
The cylindrical and spherical coordinates of the point are ([tex]\sqrt{8}[/tex],0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Given Question is incomplete, Complete Question here
The Rectangular Coordinates Of A Point Are (2,2,-1) Find The Cylindrical And Spherical Coordinates Of the Point,
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If the rate of inflation is 2.8% per year, the future price p (t) (in dollars) of a certain item can be modeled by the following exponential function, where it is the
number of years from today.
p(t) = 800 (1.028)
Find the current price of the item and the price 10 years from today.
Round your answers to the nearest dollar as necessary.
Current price:
Price 10 years from today: $
Para calcular la tasa de inflación, debemos seguir una serie de pasos.
Para ello, hemos propuesto un ejemplo en el que, paso a paso, calcularemos para un caso real la tasa de inflación.
Imaginemos que hacemos un listado de las compras realizadas en un año determinado, el cual tomamos como base. Esta compra incluye, a la hora de elaborar un listado, una serie de productos, todos ellos con sus respectivos precios. Productos que, en este caso, son barras de pan, cafés, servicios de taxi y un pantalón de vestir.
En primer lugar, lo que debemos hacer es calcular el gasto de cada producto, para ello, multiplicando las cantidades de cada producto o servicio adquiridas, por el precio que se pagó por cada una de ellas, así como por los servicios.
En este caso, sería lo siguiente:
Barras de pan: 1,50€ x 150 = 225€.
Cafés: 2,40€ x 100 = 240 €.
Taxi: 5€ x 40 = 200€.
Pantalón: 120€.
espero haberte ayudado
1. Tyler was driving to the grocery store. As he was turning into the parking lot he was rear-ended by Harold. Tyler's head hit the steering wheel and he was taken to the hospital by ambulance. Harold failed to pay his insurance premium for several months and his policy was canceled. What type of automobile insurance coverage(s) is needed in this situation?
The type of automobile insurance coverage that is needed in this problem is of:
Liability coverage.
What are the types of car insurance coverage?The types of car insurance coverage are listed as follows:
Liability coverage.Uninsured and underinsured motorist coverage.Comprehensive coverage.Collision coverage.Personal Injury coverage.In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.
This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.
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4. Here is a diagram of the track King'sis thinking of adding around the new field. It
consists of two parallel lines and a semicircle at each end. The track is 10 meters wide. -
100-
СР
64m
a) If someone runs one lap on the inside of the track, how far will they have run?
b) If someone runs one lap on the outside of the track, how far will they have run?
c) Find the difference between the distances of running on the inside or outside of the
track.
Answer:
Step-by-step explanation:
[tex]3({\frac{7}{5} x+4)-2(\frac{3}{2} -\frac{5}{4}x)[/tex]
Answer: -1.34328358
Step-by-step-explanation;
3(7/5x + 4) - 2(3/2-5/4x) = 0
3·(7/5·x + 4) - 2·(3/2-5/4·x) = 0
134x = -180
x = -180/134 = -1.34328358
2% of x =1 what is x?
Answer:
x =50
Explanation:
[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{x}[/tex]
Cross multiply 100 and 1, which makes 100. Then cross divide 100 by two, which makes 50.
Then check if 2% of 50 is 1, which is true.
x = 50
Suppose K⊆Rn is compact, f:K→R is continuous, and ϵ>0. Show that there is a number A>0 such that
|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.
By using the concept of compact set, it can be proved that
|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.
What is compact set?
A set K is said to be compact if every open cover of K has a finite subcover.
Let K⊆Rn is compact f:K→R is continuous, and ϵ>0
Let there exist [tex]x_n, y_n[/tex] ∈ K such that |f([tex]x_n[/tex])−f([tex]y_n[/tex])| > n∥[tex]x_n[/tex]−[tex]y_n[/tex]∥+ϵ,
Since K is compact there is a subsequence [tex]x_{nk}[/tex] and [tex]y_{nk}[/tex] of [tex]x_n, y_n[/tex] respectively such that [tex]x_{nk}[/tex] converges to x and [tex]y_{nk}[/tex] converges to y.
So, |f([tex]x_{nk}[/tex])−f([tex]y_{nk}[/tex])| > [tex]n_k[/tex]∥[tex]x_{nk}[/tex]−[tex]y_{nk}[/tex]∥+ϵ,
Since f is continuous,
We can write
|f(x)−f(y)| > [tex]n_k[/tex]∥x - y∥+ϵ,
This is true for infinite many [tex]n_k[/tex]
So ||x - y|| = 0
|f(x) - f(y)| > ϵ, a contradiction since f is continuous
So, there is a number A>0 such that
|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.
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simplify (8^(5))/(8^(-9))
1.8^-45
2.8^-4
3.8^14
4.8^45
The expression (8^(5))/(8^(-9)) is simplified to 8^14. Option 3
What are index forms?Index form of a number can simply be described as that number written in the form of an exponential expression.
The number can also be written as a single number which is raised to another number.
Some rules of indices to note;
Multiplying index form results in addition of their powersDivision results in subtraction of their powersGiven that;
(8^(5))/(8^(-9))
Then, we have;
8^5-(-9)
8^5+9
Add the powers
8^14
Hence, the value is 8^14
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three less than the product of nine and number is eight as a word equation
Answer:9x-3=8
Step-by-step explanation:
3 less means minus 3 from a number
product of 9 and a number is 9 times x
9x-3=8
is eight means = sign
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
b.) 8/7≈ 1.1
Final.) and then using the exponential decay formula, 18.1 will be left after
A company that makes haircare products had 2,000 people try a new shampoo. Of the 2,000 people, 12 had a mild allergic reaction. What percent of the people had a mild
allergic reaction?
The percent of the people had a mild that has an allergic reaction is 0.6%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Given that the company that makes haircare products had 2,000 people try a new shampoo. Of the 2,000 people, 12 had a mild allergic reaction.
It should be noted the percentage will be:
= Allergic people / Total people × 100
= 12/2000 × 100
= 0.6%
The percentage is 0.6%.
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Help please thank you!
The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The two sets are given below.
F = {v | v < 4}
H = {v | v ≥ 7}
The sets that represent the union of set F and set H will be given as,
F∪H = (-∞, 4) ∪ [7, ∞)
The sets that represent the intersection of set F and set H will be given as,
F∩H = {null}
The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.
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1/10 divided by 5 2/5
Answer: 1/54
Step-by-step explanation:
5 2/5 = 27/5
1/10 divide by 27/5 =
1/10 times 5/27 =
5/ 270 = 1/54
I need help with this question, I don't understand how we get the x value in the equation.
I'm not trying to cheat, I just need steps to see how we get to the end of it.
y=x-1
y=-x+3
Step-by-step explanation:
the x value comes from the slope when graphing. for example, the slope on this problem is just x which means its only one. so you move up one and to the right one. for the second equation, its negative so you move back one or down one. the x value coms from when they are both intercepted when graphed.
A credit card has an APR of 32.47%, and its billing cycle is 30 days long. What is the credit card's periodic interest rate?
If a credit card has an APR of 32.47%, and its billing cycle is 30 days long. The credit card's periodic interest rate is 2.67%.
What is credit card periodic interest rate?A credit card periodic rate can be defined as the interest amount that a person pays on the balance of their credit card.
Given data:
Billing cycle = 30 days long
APR = 32.47%
Using this formula to find the credit card periodic interest rate
Credit card periodic interest rate = APR / (Number of days in a year /Billing cycle)
Where:
Credit card periodic interest rate =?
Annual percentage rate (APR) = 32.47%
Number of days in a year =365 days
Billing cycle = 30 days
Now let find the credit card periodic interest rate
There is 365 days in a year.
Credit card periodic interest rate = 32.47% ÷ (365 days / 30 days)
Credit card periodic interest rate =32.47% / 12.17
Credit card periodic interest rate = 2.67%
Therefore the periodic interest rate is 2.67%
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find the distance between the two points rounding to the nearest tenth (if necessary). (5,5) (-1,-3)
The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.
Given that,
The points area (5,5) and (-1,-3)
We have to find the distance between the two points.
We know that,
What is distance formula?The distance between two points is the length of the line segment spanning those two points on the plane.
d=√((x₂ - x₁)² + (y₂ - y₁)²) is a common formula to calculate the distance between two points.
Any two points on an x-y plane or coordinate plane can have their separation between them determined using this equation.
We get,
(5,5) and (-1,-3)
Distance= [tex]\sqrt{(-1-5)^{2}+(-3-5)^{2} }[/tex]
Distance= √(-6)²+((-8)²
Distance= √36+64
Distance= √100
Distance =10
Therefore, The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.
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. If g = -4 and h = -5 find the value of
a) 4gh
b) g²h
c) 5h - g²
Answer:
a) 80
b) -80
c) -41
Step-by-step explanation:
For g = -4 and h = -5, you want the values of ...
4ghg²h5h -g²To evaluate these expressions, put the value of the variable where the variable is, and do the arithmetic. A calculator can help.
a) 4gh= 4(-4)(-5) = 80
b) g²h= (-4)²(-5) = -80
c) 5h -g²= 5(-5) -(-4)² = -25 -16 = -41
Simplify -1(15+4-27) over 16
Answer:
1/2
Step-by-step explanation:
-1(15+4-27)/16
Add 15 and 4 to get 19.
Now you have -1(19-27)/16
Subtract 27 from 19 to get −8.
-1(-8)/16
Reduce the fraction 16/−8 to lowest terms by extracting and canceling out 8.
-(-1/2)
Simplify
1/2
Answer:
1/2
Step-by-step explanation:
⁻¹⁽¹⁵⁺⁴⁻²⁷⁾⁄₁₆
Calculate:
-(15 + 4 - 27) / 16
-(19-27)/16
-(-8) / 16
= 8/16
Simplify:
= 1/2
what is the equation in slope intercept form of the line that passes through the point (-0.5,7) and is parallel to the graph of y=-8x-2 please help
Answer:
y = -8x + 3
Step-by-step explanation:
Pre-SolvingWe are given that a line passes through the point (-0.5,7), and is parallel to y = -8x - 2
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.
Parallel lines have the same slopes.
Therefore, we can start by finding the slope of y = -8x - 2.
It is also written in slope-intercept form. -8 is where m (slope) should be; therefore, the slope of the line is -8.
SolvingWe can plug in -8 for m in y=mx+b.
y = -8x + b
Now we need to find b.
As the equation passes through the point (-0.5,7), we can use its values to help solve for b.
Substitute -0.5 as x and 7 as y.
7 = -8(-0.5) + b
Multiply
7 = 4 + b
Subtract 4 from both sides
3 = b
Substitute 3 as b in the equation.
y = -8x + 3
Topic: parallel and perpendicular lines
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