Answer:
y = x - 3
Step-by-step explanation:
Consider the equation "y = mx + b" :
y = mx + b
Since the slope is 1, you could input that into the equation:
y = (1)x + b
The variable "b" represents the y-intercept, therefore, to find the y - intercept, you would have to subtract 7 from each side of the coordinate points to get 0 as the x - coordinate to find the y - intercept:
(7 4)
-7 || -7
(0, -3)
Therefore, the y - intercept would be -3 and the equation would be:
y = x - 3
At school, 40% of the sixth grade students said that hip hop was their favorite kind of music. If 100 sixth grade students prefer hip hop music how many sixth graders are at the school
If 100 sixth grade students prefer hip hop music, the number of sixth graders at the school is 250.
How many sixth graders are at the school?Percentage is a measure of frequency that is used to express a number as as a fraction of 100. In order to change a value to percentage, multiply the number by 100. The sign that represents percentage is %.
In order to determine the number of sixth graders, divide the number of sixth graders that prefer hip hop music by the percentage.
Number of sixth graders = number that prefer hip hop / percentage
100 / 40%
100 / 0.4 = 250
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Given the function:
y = 3x^2 − 10
What can replace y?
What is the range if the domain value is 3?
f(x) can be used to replace y and the range at the domain of 3 is 17
How to determine what can replace y?From the question, the equation is given as
y = 3x² - 10
The above means that y is a function of x
This means that we can replace y with f(x) which means "a function of x"
The range at the domain valueHere, we have
Domain value = 3
This means that
x = 3
So, we have
y = 3(3)² - 10
Evaluate
y = 17
Hence, the range is 17
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You have 84,000 grams of a radioactive kind of tellurium. How much will be left after 75
minutes if its half-life is 25 minutes?
grams
Answer:
10,500 g
Step-by-step explanation:
Half-life is the length of time it takes for half of the radioactive atoms of a radionuclide to decay. In this scenario, the amount of radioactive atoms is halved after 25 minutes. After 75 minutes, then, the amount of radioactive atoms is halved three times. Therefore:
1st half-life: [tex]84000\text{ g}\div{2}=42000\text{ g}[/tex]
2nd half-life: [tex]42000\text{ g}\div{2}=21000\text{ g}[/tex]
3rd half-life: [tex]21000\text{ g}\div{2}=10500\text{ g}[/tex]
What is the equation of the line that passes through the point (-4, 3) and slope of 3/4
The equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
According to the question,
We have the following information:
We have the point (-4,3) and a slope of 3/4.
We know that the following formula is used to find the equation passing through any point:
(y-y') = m(x-x') where m is the slope and in this case, y' = 3 and x' = -4
y-3 = 3/4{x-(-4)}
y-3 = 3/4 (x+4)
Multiplying 3/4 into the bracket:
y-3 = 3x/4 + 3
Moving -3 from the left hand side to the right hand side:
y = 3x/4+3+3
y = 3x/4+6
Hence, the equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
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Write the linear equation in the slope intercept form.
(-6,0); slope= 2/3
Answer:
Step-by-step explanation:
y=2/3x+4
48+3u=9u
Solve for u
Answer:
u=8
Step-by-step explanation:
48+3u=9u
-3u both sides
48=6u
divide by 6 on both sides
8=u
For every 8 candles that you sell, you raise $96. You raise $288.
How many candles did you sell?
Answer:
24
Step-by-step explanation:
Start by finding the unit price. Unit price is the term for finding the price of one unit of an item, often used in word problems. We find this by dividing the cost of an item after a certain amount is sold, by that amount.
[tex]96/8 = \$12[/tex]
Now, we know the unit price is 12. Divide the end value of everything you sold by the unit price, 12.
[tex]288/12 = 24[/tex]
Therefore, you sold 24 candles.
Hope this helps!
8x - 4 = 12x + 6 + x
Answer:
X = −2
Step-by-step explanation:
Combine 12x and x to get 13x. Subtract 13x from both sides. Combine 8x and −13x to get −5x. Add 4 to both sides. Add 6 and 4 to get 10. Divide both sides by −5. Divide 10 by −5 to get −2.
Answer: x= -2
Step-by-step explanation:
8x-4=12x+6+x
8x-12x-x=6+4
-4x-x=10
-5x=10
x= -2
Alexa conduct a scientific experiment. For certain time, The temperature of a compound rose 3 1/2° every 2/3 of an hour. How much does a temperature of the compound rise in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!!
Lola received $522.50 when she cashed her paycheck. Why is this important to us?
Because you can also cash a check at a bank if you have an account there.
If you have a checking account, you can write and mail a check to pay your bills. The bank will withdraw the money from your account.
As long as you have enough money in your account (as much or more than what you're trying to cash), you can cash a check and get money back immediately.
You can deposit money into a savings account. A savings account is a good way to save your money and earn money called interest.
Banks also offer electronic services. You can use these services even when the bank is closed.
Some banks have more than one branch or office. Use the branch closest to you if you are in a different town or state. All branches will have access to your account information.
Monica cashed her paycheck at Ready Cash. The fee at Ready Cash to cash a check is 10% of the amount of the check. Her paycheck was $538. how much was the fee for Monica to cash her paycheck
Answer:
$53.8.
Step-by-step explanation:
10% of $538 is like saying 538 times .10. After you multiply, you get $53.8 as the fee that Monica had to pay.
Use the diagram and the given angle measure to find the other three measures
The other three measures are:
∠1 = 159°∠2 = 21°∠4 = 21°What is Angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.This, I assume, refers to two lines that cross and create four angles.
The sum of the additional angles 2 and 3 is 180°.Angles 2 and 3 equal 180°.159⁰ + angle 2 = 180⁰angle 2 = 180⁰ - 159⁰angle 2 = 21⁰The same applies to angles 2 and 4 since angles 1 and 3 are vertical angles.
Since vertical angles are congruent in measure, it is simple to determine their measurements.
Hence, the three measures are:
∠1 = 159°∠2 = 21°∠4 = 21°To learn more about Angles click on the link
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Find the sum of the measures of the interior angles of each convex polygon.
Answer:
Step-by-step explanation:
interior angles of polygons:
180(n-2)
1. =180(11-2)
=180(9)
=1620
2. 180(17-2)
=180(15)
=2700
arturo can have pizza for dinner on any four of the next eight days. how many different ways can he select the days on which to have pizza?
Arturo can select the days on which to have pizza in 70 ways using combination rule if he chooses any four of the next eight days.
What is combination?
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
In combinations, one can select the items in any order.
Number of combination of a objects chosen from n objects
ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]
According to the given question:
To select 4 days out of the next 8 days, use combination rule
ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]
⁸C₄ = [tex]\frac{8!}{4! (8-4)!}[/tex]
⁸C₄ = (8x7x6x5x4x3x2x1)/(4x3x2x1)(4x3x2x1)
⁸C₄ = (8x7x6x5)/(4x3x2x1)
⁸C₄ = 70
Therefore there are 70 ways Arturo can select the 4 days out of 8 to have pizza for dinner.
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Dan and Sydney are getting high-speed Internet access at the same time. Dan's provider charges $60 for installation and $42.95 per month. Sydney's provider has free installation and charges $52.75 per month. After how many months will Dan and Sydney have paid the same amount for high-speed Internet service?
Pls someone answer this, it’s due in a couple mins
The number of months till Dan and Sydney would have paid the same amount for the high-speed Internet service is 6.12 months
How to find the number of months?Assuming the number of months is denoted as x, the total cost equation for Dan's provider would be:
= Installation cost + internet charge per month x number of months
= 60 + 42.95x
The total cost equation for Sydney's provider is:
= Installation cost + internet charge per month x number of months
= 0 + 52.75x
= 52.75x
To find the number of months till Dan and Sydney pay the same amount, equate the equations:
60 + 42.95x = 52.75x
52.75x - 42.95x = 60
9.8x = 60
x = 60 / 9.8
x = 6.12 months
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Sabrina needs more than 42 ft.³ of soil to top up her raised garden bed. each bag of soil contains 1.75 ft.³. Write and solve any inequality to find how many bags of soil Sabrina needs
The inequality that represents the quantity of bags of soil Sabrina needs is 1.75x > 42
The bags of soil needed is 24 bags
What is inequality?Inequality as used in math refers to relations that are not precisely equal
How to determine the bags of soil Sabrina needsSabrina needs more than 42 ft.³ of soil to top up her raised garden bed
> 42 ft³
each bag of soil contains 1.75 ft.³
let the number of bags of soil be x, such that
1.75x > 42
x > 42 / 1.75
x > 24
Sabrina needs at least 24 bags of soil
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What is the equation of the line that passes through the points (-2, 1) and (6, 3)?
Answer:
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m = [tex]\frac{3-1}{6-(-2)}[/tex] = [tex]\frac{2}{6+2}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 3 - [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ← equation of line
Find the inverse of A =
Answer:
(-4,-1) and (3,1), respectively.
Step-by-step explanation:
I am not quite sure if the question is necessarily asking for this, but the x and y values are switched to get the points of the inverse. (-1,-4) --> (-4,-1) and (1,3) --> (3,1). I hope that makes sense!
observation refers to the . a. mean of all variable values associated with one particular entity b. estimated continuous outcome variable c. set of recorded values of variables associated with a single entity d. goal of predicting a categorical outcome based on a set of variables
The correct option is c. that is observation is set of recorded values of variables associated with a single entity.
What is observation?
An observation is a case of the data being collected.
For example, if we were collecting data on students in the class, the observations would be each individual student in the class. It could be the student's height, weight, marks scored, etc.
A variable is an attribute or characteristic of the observation we record in our data.
Also an observation in statistics is a value of something of interest measured or counted during a study or experiment: a person’s height, a bank account value at a certain point in time, or number of animals.
Therefore from the given option c is correct.
Observation is set of recorded values of variables associated with a single entity.
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What is the value of the following numerical expression?
-23 +-15+|-17| + -35
A. -56
B.-26
C. 1-261
D. 56
The value of expression -23 +-15+|-17| + -35 is -56
In this question, we have been given a numerical expression.
-23 +-15+|-17| + -35
We need to find the value of given numerical expression.
Consider given numerical expression,
-23 +-15+|-17| + -35
= -23 + (-15) + |-17| + (-35)
= -23 - 15 + |-17| - 35
We know that for any real number a, |±a| = a
So, |-17| = 17
= -38 + 17 - 35
= -56
Therefore, the value of expression -23 +-15+|-17| + -35 is -56
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The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answer:
Step-by-step explanation:
Epsilon3 is an exoplanet with a mass of 9.43x10^27g. It has a radius of 7.6x10^8cm. What is the density of the planet? What is it made of?
The density of the planet is 4.81 g/cm^3, and with this in mind, we assume that the planet is made of titanium or yttrium.
How to get the density of the planet?Density is defined as the quotient between mass and volume.
Here we know that the mass is:
9.43*10²⁷g
And the radius is 7.6x10^8cm, remember that the volume of a sphere of radius R is:
V = 3.14*(3/4)*R³
Then in this case the volume is:
V = 3.14*(3/4)*(9.43*10⁸ cm)³ = 1.96*10²⁷ cm³
Then the density is:
D = (9.43*10²⁷g)/(1.96*10²⁷ cm³) = 4.81 g/cm^3
For this density, we can assume that the planet is made of Titanium or Yttrium (or a combination of a lot of elements like most planets)
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What is the equation of the line in slope-intercept form?
the line perpendicular to Y = 4/9x - 6 through (5, -6)
The required equation will be y = -1/3x + 21/4 in slope-intercept form.
What is the equation of a line?The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
First, we need to determine the slope of the given line.
y = 4/9x - 6
Here the slope of the given line is 4/9.
The required line is perpendicular to a given line
So the required line's slope will be m₂ = -1 / (4/9) = -9/4
The line passes through the point (5, -6) which is given in the question,
Now we can use the point-slope form of a line to create the equation of the new line:
(y + 6) = (-9/4) (x - 5)
y = (-9/4)x + 45/4 - 6
y = -1/3x + 21/4
Hence, the required equation will be y = -1/3x + 21/4 in slope-intercept form.
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Samuel orders four DVDs from an online music store. Each DVD costs $9.97. He has a 25% discount code, and sales tax is 7.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of his order of DVDs will be $32.23.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Samuel orders four DVDs from an internet-based music store. Every DVD costs $9.97. He has a 25% markdown code, and the deal charge is 7.75%.
The cost of DVDs after discount will be given as,
⇒ 4 x $9.97 x (1 - 0.25)
⇒ $29.91
The cost of DVDs after tax will be given as,
⇒ $29.91 x (1 + 0.0775)
⇒ $32.23
The total cost of his order of DVDs will be $32.23.
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if
x/y=y/z=z/x
show that x=y=z
Step-by-step explanation:
x/y = y/z = z/x
x = y²/z = zy/x and y = z²/x
x = y²/z
putting this into the 3rd part of the original equation :
z/x = z/ y²/z = z²/y²
now using the y identity of the second part there :
y = z²/x
z²/y² = z² / z⁴/x² = x²/z² (= z/x per previous equation)
so,
x²/z² = z/x
x³/z³ = 1
x/z = 1
x = z
then
y/z = y/x = z/x (= 1)
and therefore,
y/x = z/x meaning
y = z (and therefore = x)
so,
x = y = z
what 29,000 divided by 50,000
Answer:
.58
Step-by-step explanation:
In a company, 85% of the workers are women. If 675 people work for the company who aren't women, how many workers are there in all?
Answer:
so there are 3825 worker in total
Step-by-step explanation:
675=15%
women=85%
how much workers are 5%=675/3 =225
225=5%
how many workers is 85%= 85/5=17
85%=225x17=3825
"14 more than twice a number" translate expression
Answer: 14=2x
Step-by-step explanation:
the answer is 14=2x7=14
the price of a car was increased by 4% to £22 what was the price before
13.80
Step-by-step explanation:
22 - 4% is your answer
20 divided by cos70°
Answer:
31
Step-by-step explanation:
The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
We have to given that,
A number 20 divided by cos70°.
We can simplify the expression as,
20 divided by cos70°
⇒ 20 ÷ cos 70°
⇒ 20 / cos 70°
⇒ 20 / 0.34
⇒ 20 x 100 / 0.34x100
⇒ 2000/34
⇒ 58.82
Therefore, The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
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find the domain and range of the function !! NEED NOW
Answer:
Domain = { -2 , 0 , 2 , 4 }
Range = { 3 }
Step-by-step explanation:
Domain is the x-values that the Function have and Range is the y-values that the Function have corresponding to these x-values
Since the x-values for the Function attached are -2 , 0 , 2 , 4
and the y-values for the Function is 3
Then the Domain = { -2 , 0 , 2 , 4 }
and the Range = { 3 }
Glad to Help
