Answer:
y=3x+11
Step-by-step explanation:
y=mx+b is slope intercept form
m is slope and b is y intercept
parallel lines have the same slope so we know the slope will be 3 so to find the y intercept we plug in what we know
y=3x+b
5=3(-2)+b
5=-6+b
+6 +6
11=b
y=3x+11
hopes this helps please mark brainliest
What is the force should be applied to a piston with radius of of 1 to create a pressure of 8? (you'll have to rearrange the equation)
Force applied on the piston is 8π.
Given , Radius = 1 , Pressure = 8
Since , the units of pressure and radius are not given, let us assume radius is in cm and pressure is in [tex]\frac{Newton}{cm^{2} }[/tex].
Now , it becomes
Radius(r) = 1 cm
Pressure(p) = 8 [tex]\frac{Newton}{cm^{2} }[/tex]
Now , We know that
Force = Pressure × Area
∴ F = p × a
or F = 8 × π×[tex]1^{2}[/tex] [∵ Area of Piston = π[tex]r^{2}[/tex]]
∴ F = 8π
Hence ,Force applied on the piston is 8π.
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Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?.
The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.
(-3 1/4d + 3/5) - (2 7/8d + 7/10)
⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10
⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10
⇒ (-13/4 - 23/8)d + 6/10 - 7/10
⇒ (-26/8 - 23/8)d - 1/10
⇒ -49/8 d - 1/10
Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
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Two augmented matrices for two linear systems in the variables x, y, and I are given below.
The augmented matrices are in reduced row-echelon form.
For each system, choose the best description of its solution.
If applicable, give the solution.
(a)
10-1
01 1
100 0
5
100 2
0011 4
000-2
OThe system has no solution.
O The system has a unique solution.
(x,x.) - D
O The system has infinitely many solutions.
O (1.7.²) = (1.D
(1.7.2) -..D
(x,y,z) ==)
O The system has no solution.
O The system has a unique solution.
(x,y) - D
O The system has infinitely many solutions.
(x, y, z)=(xD
(2.3.²) -..D
(..)-:)
8
X
a) The system has infinitely many solutions in the following format:
(2 + z, 5 - z, z).
b) The system has no solution.
How to obtain the number of solutions of each system?To obtain the number of solutions of each system, the equations are built from the augmented matrix presented.
For item a, both sides of the matrix have one zero row, hence the system has infinitely many solutions, and the equations are given as follows:
x - z = 2.y + z = 5.Hence the solutions in terms of z are given as follows:
x = 2 + z.y = 5 - z.Thus the format of the solutions is of:
(2 + z, 5 - z, z).
For item b, the right side has three non-zero rows, while the left-side has two, meaning that it has no solutions.
This can be verified from the last line, as the equation would be of:
0z = -2.
Which has no solution.
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What is the y-intercept of the line that is parallel to y 2 and goes through the point (-3,4)?
The y-intercept of the line that parallel is y = 4.
What is the y-intercept of the line?
The point on a line where it crosses the y-axis is known as the y-intercept. To put it another way, it is the value of y when x is equal to 0. This can sometimes have real significance for the model that the line offers, but it can also have no significance. In this section, we will see examples of both categories.
Use the slope-intercept form to find the slope.
The slope-intercept form is
y = mx + b,
where,
m is the slope and b is the y-intercept.
y = mx + b
Using the slope-intercept form, the slope is 0.
m = 0
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope 0 and a given point (-3, 4) to substitute for x1 and y1 in the point-slope form in the point-slope form y − y1 = m(x − x1), which is derived from the slope equation
[tex]m = \frac{y_2 - y_1}{x_2 - _1}[/tex]
y - 4 = 0⋅(x - 3)
Simplify the equation,
y = 4.
hence, the y-intercept of the line that parallel is y = 4.
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The first two terms of an arithmetic sequence are shown below.
1
2
x+3' x +4
.
4
Find the third term of this sequence.
Give your answer fully factorised.
The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....
Given that,
The first two terms of an arithmetic sequence are given that is
1/x+3, 2/x+4,....
We have to find the third term of this sequence.
We know that,
What is an arithmetic sequence?The arithmetic sequence is the set of terms where the common difference between any two succeeding terms is always the same. Recall the definition of a sequence. A group of integers that follow a pattern is referred to as a sequence.
There are two ways of defining an arithmetic sequence. A "sequence where the differences between each pair of succeeding terms are the same" is what it is. Alternatively, "each term in an arithmetic sequence is obtained by adding a fixed number (positive, negative, or zero) to its preceding term."
The sequence has
n/x+(n+2)
Take n=1 is 1/x+3
Take n=2 is 2/x+4
Take n=3 is 3/x+5
Therefore, The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....
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It cost $255 for 30 students to see the musical. How much will it cost 85 students to see the
play? Write and solve a proportion to answer the question.
Answer:
$722.5
Step-by-step explanation:
Since $225 is 30 students we can do 85/30 and multiply 225 by that.
For the proportion, it would be: 255/30=x/85
85/30=2.8 1/3
2.8 1/3*255=722.5
So it would be $722.5 for 85 students
Answer:
$722.5
Step-by-step explanation:
$255/ 30= 8.5
8.5* 85= $722.5
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
7.9
Step-by-step explanation:
Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.
Please solve this question with proper explanation to this,
thank you
The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.
How do we calculate average?An average is now a single number that is selected to represent a collection of numbers; it is frequently the sum of the numbers divided by the total number of numbers in the collection.Average When calculating the arithmetic mean, a set of numbers is added, their count is divided, and the result is then taken.The median or mode of a statistic, for example, could also be considered an average depending on the circumstance. Since the mean would be artificially inflated if it included the personal incomes of a few billionaires, the median is frequently used to represent the average personal income.The median is the value at or above which half of all personal incomes fall and half of all personal incomes rise.To learn more about average refer :
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Write the equation of the line that passes through the points (4, -8) and (7,-8) fully reduced PLEASE HELP
The equation of the line that passes through the points (4, -8) and (7,-8) is 5.33x + y = 13.22.
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given two points,
(x1 = 4 ,y1 = -8) and (x2 = 7, y2 = -8)
The equation's general form will be written first:
y = mx + c
We may compute the slope of the equation (m) as follows:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{-8-8}{7-4}[/tex]
m = -16/3
m = -5.33
equation is y = -5.33x + c.
By entering the values of the x and y coordinates, we can now determine the value of the y-intercept (c):
For the point (4,-8),
-8 = -5.33(4) + c
-8 = -21.32 + c
c = 13.32
So the equation become ;
y = -5.33x + 13.32
or, 5.33x + y = 13.22
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The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?
Answer:
hi do you mind making the question a bit clear? where is the table?
Step-by-step explanation:
2x + 1 ≥ 5+x
Pls help quickly
Answer:
x≥4
Step-by-step explanation:
2x + 1 ≥ 5 + x Subtract x from both sides
x + 1 ≥ 5 Subtract 1 from both sides
x ≥ 4
Cary i checking her tax bill for the lat year. The tax rate were a follow:. No tax on the firt £11 000 of earning
Earning in exce of £11 000 and up to £43 000 taxed at a rate of 20%
Earning in exce of £43 000 and up to £150 000 taxed at a rate of 40%
Earning over £150 000 taxed at a rate of 45%
Lat year, Cary earned £45 600 before tax. How much tax did he pay in total?
If Cary earned $45600 before tax, then she paid $18240 as tax
The amount that Cary earned last year = $45600 before tax
The rate of tax if earning exceed of 43000 and up to 150000 = 40%
Then the amount of tax = The amount that Car earned last year × (The rate of tax if earning exceed of 43000 and up to 150000 / 100)
Substitute the values in the equation to find the tax amount
The amount of tax = 45600 × (40/100)
Divide the numbers first
= 45600 × 0.40
Multiply the numbers
= $18240
Hence, the amount of tax that he paid is $18240
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Find the time derivative dp(t)/dt of the x component of the system's total momentum.
The time derivative dp(t)/dt of the x component of the system's total momentum is m₁a₁(t)+m₂a₂(t).
A moving body's motion is measured by its momentum, which is the product of its mass and velocity. The formula for momentum is p=mv. Here, p is momentum, m is mass (in kg), and v is the velocity (m/s).
This equation with respect to time is written as dp(t)/dt. Then, momentum for block 1 is written as,
[tex]\begin{aligned}\frac{dp_1(t)}{dt}&=\frac{d(m_1v_1(t))}{dt}\\&=m_1\frac{dv_1(t)}{dt}\\&=m_1a_1(t)\end{aligned}[/tex]
The momentum for block 2 is written as,
[tex]\begin{aligned}\frac{dp_2(t)}{dt}&=\frac{d(m_2v_2(t))}{dt}\\&=m_2\frac{dv_2(t)}{dt}\\&=m_2a_2(t)\end{aligned}[/tex]
In both equations, the value dv/dt=a with respect to time.
Then, the total momentum is,
[tex]\begin{aligned}\frac{dp(t)}{dt}&=\frac{dp_1(t)}{dt}+\frac{dp_2(t)}{dt}\\&=m_1a_1(t)+m_2a_2(t)\end{aligned}[/tex]
Therefore, the value is m₁a₁(t)+m₂a₂(t).
The complete question is -
In this problem, you will analyze a system composed of two blocks, 1 and 2, of respective masses m1 and m2. To simplify the analysis, we will make several assumptions:
The blocks can move in only one dimension, namely, along the x-axis.The masses of the blocks remain constant.The system is closed.At time t, the x components of the velocity and the acceleration of block 1 are denoted by v1(t) and a1(t). Similarly, the x components of the velocity and acceleration of block 2 are denoted by v2(t)and a2(t). In this problem, you will show that the total momentum of the system is not changed by the presence of internal forces.
Part B
Find the time derivative dp(t)/dt of the x component of the system's total momentum.
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drag the description from the torres-porras experiment on to the position it represents in the scientific method.
These are the general steps that every experiment takes, however no two research programs are the same. The aforementioned steps can be changed.
What is hypothesis in math?
A hypothesis is a proposition that makes sense in light of the available information but has neither been confirmed nor refuted.
A statement on which hypothesis testing will be based is referred to as a hypothesis in statistics (also known as a statistical hypothesis).
Of the 10 targets, you mislabeled two. Both the forecast and the hypothesis were messed up by you. Remember that a hypothesis usually offers less detail than a prediction.
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Randall need 24 erving of ice cream for
a cla party. If each erving i 1
/8 quart,
how many quart of ice cream will he need? (PLEASE HELP FAST!)
A: 3 quart
B: 5 quart
C: 6 quart
D: 8 quart
Randall needs 3 quarts of ice cream.
What is the quarts?
An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One litre is roughly equivalent to each. It is divided into either four cups or two pints.
If Randall needs 24 servings, that means that there would be 24 kids in his class.
If each kid in his class would have 1/8 quart,
you would do 24 x 1/8 which is 3 quarts.
3 quarters
Hence, Randall needs 3 quarts of ice cream.
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Need help with geometry please !
Answer:
90°
Step-by-step explanation:
Note that the sum of the exterior angles of an octagon is 360°. Therefore we can say:
x+2x+3x+4x+5x+7x+8x+10x=360
40x=360
x=9
10x° is the largest exterior angle and x=9, so 10x°=90°
Hope this helps :)
8
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales. She worked 40 hours last week and sold 36,000 in cars. What
was Rachel's total income last week?
Type your answer...
I need the answers
Rachel's total income is $13320.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.
Commission = 9 x 0.04 = $0.36
Commission on 36000 cars = $12960
By working 40 hours he earn = 9 x 40 = $360
Hence, the total income = 360+ 12960 = $13320
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Which properties are present in a table that represents a logarithmic function in the form y = logo when b>
1. The y-values are always increasing or always decreasing.
II. The point (0, 1) exists in the table.
III. The y-values will decrease rapidly as the x-values approach zero.
IV. There will only be one x-value in the table with a y-value of zero.
O
O
O
O
I only
I and II only
1, 111, and IV
II and III only
Mark this and return
Save and Ex
Submit
Answer:
Step-by-step explanation:
i think its 1
this is kind of tricky for me to answer,please help! I will make you Brainliest!
Answer:
Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss
Step-by-step explanation:
if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!
Answer:
60 cm
Step-by-step explanation:
18+18+12+12
30+30
60
the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense
Hopes this helps
If the lowest price in the past year occurred 35 days ago, find the approximate average change per day since then. a. $2.08 b. $2.64 c. $0.90 d. $2.99
The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.
How to find the approximate average change?The approximate average change can be found by the formula :
= ( Current price of stock - Lowest price ) / Number of days since lowest price
Current price of Dagofi Radar stock = $ 130. 58 closing price
Lowest price = $ 57. 71
The approximate average change is:
= ( 130. 58 - 57. 71) / 35
= 72. 87 / 35
= $ 2.08
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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.
52 wk High
52 wk Low
Symbol
Div.
Close
Net Change
162.22
57.71
DFR
9.75
130.58
-2.64
Solve for x:
7x(x+1. 8)=0
Need help ASAP.
Answer is not x=-1. 8 or x=0
Answer:
Step-by-step explanation:
x = -9/5 = -1.800 or
x = 0
Help I don't know how to do this
Answer:
Step-by-step explanation:
a(n) = a(1) + (n-1)d
a(n) = -9 + (n-1) x (-6-(-9)
a(n) = -9 + (n-1) x (-6 +9)
a(n)= -9 + (n-1) x 3
a(n) = -9 + 3n - 3
a(n) = 3n - 12
a(30) = 3 x 30 - 12
a(30) = 90 - 12
a(30) = 78
The first step in simplifying the expression: (1.8 x 10^5) - (2.6 x 10^3)
a
Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (2600 x 10^5).
b
Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (0.026 x 10^5).
c
Addition and subtraction do not require any changes, so you would just subtract (2.6 - 1.8) and (10^(5-3))
d
Addition and subtraction do not require any changes, so you would just subtract (1.8 - 2.6) and (10^(5-3))
The first step in simplifying the expression: (1.8 x 10^5) - (2.6 x 10^3) is
b Addition and subtraction requires the terms to be "like terms" with the same power of the base 10, so you would need to change the second number to (0.026 x 10^5)
How to simplify the expressionIn simplifying the given expression: (1.8 x 10^5) - (2.6 x 10^3) while subtracting the power is made similar hence
= (1.8 x 10^5) - (2.6 x 10^3)
= (1.8 x 10^5 - 0.026 x 10^5
applying distributive property of multiplication
= (1.8 - 0.026) x 10^5
= 1.774 x 10^5
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What is the reciprocal of the only even prime number?
Answer:
Since the only even prime number is 2, we can say that its reciprocal is 1 2 \dfrac{ 1 }{ 2 } 21. By checking, we get 2 × 1 2 = 1 2 \times \dfrac{ 1 }{ 2 } = 1 2×21=1.
Step-by-step explanation:
12. A rectangle is drawn so that the base lies on thex-axis, and the top corners are on the curvey=48−x 2. Draw a diagram. Find the maximum area of such a rectangle.
the maximum area of such a rectangle will be 144 unit²
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
The area of rectangle is A = a*b
A = 2x*(48-x²) = 96x - 2x³
We are asked to maximize the Area as changes so hopefully, we can identify a critical point of
It an associated with a maximum, So we need to find [tex]\frac{dA}{dx}[/tex] = 0
96 - 6x² = 0
x² =96/6 = 16
x = ±6
So the width = 12
Height = 48 - 36 = 12
So the area = 144 unit²
Hence the maximum area of such a rectangle will be 144 unit²
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can anyone help ? No links please worth a lot of points! I also need a explaination and the answer for Z
Answer:
11.66
Step-by-step explanation:
10^2 + 6^2 = Z^2
100 + 36 = Z^2
136 = Z^2
sqrt(136) = Z
sqrt 136 = 11.66
Need help ASAP
2^7x2^-2 +2^9/2^4 +2^3/2^-2
Show that C = a×2^b where a and b are two integers to be determined
The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14
What are laws of exponents?
Laws which are used to solve the problems including the exponents are called laws of exponents
Solution:
As we can clearly see in whole expression 2 is present in every term
By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b
When we solve this expression we get
this expression equal to 2^15
which we can write 2×2^14
hence on comparing we get a = 2 and b = 14
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mason never has a pencil when test day rolls around. because the classmates are tired of having to supply pencils for mason, only 15% of students will give mason a pencil when asked. today is test day and mason begins asking randomly selected students for a pencil. let y
The expected number of people that Mason will have to ask to get a pencil, using the binomial distribution, is of:
6.67.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters of the distribution are given are given and expected as follows:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The expected number of trials until q successes is given as follows:
E(X) = q/p.
15% of students will give mason a pencil when asked, hence the parameter p is given as follows:
p = 0.15.
Then the expected number of students that Mason will have to ask is of:
E(X) = 1/0.15 = 6.67.
q = 1 as one pencil = one success.
Missing InformationThe problem asks for the expected number of students that Mason will have to ask for the pencil.
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There are 9 five-minute segments in_____________________.
The number of minutes which contains 9 five- minute segments as required in the task content is; 45 minutes.
What is the total number of minutes which contains 9 five- minute segments?It follows from the task content that there are 9 five minutes segments in how many minutes.
The question posed in the task content can be interpreted as determining the total number of minutes in 9 five minutes segments.
On this note, it can be evaluated as follows;
9 × 5 minutes
= 45 minutes.
On this note, it can be concluded that the number of minutes which contains 9 five minutes segments is; 45 minutes.
The blank in the task content can therefore be filled with; 45 minutes.
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Martina is driving to Atlanta. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.85. Martina has 74 miles remaining after 39 minutes of driving. How many miles will be remaining after 57 minutes of driving?
Miles will be remaining after 57 minutes of driving 58.7 miles.
What is Linear Function?
The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Write the linear function as:
remaining distance = -0.85(drive time) + (intercept)
After 39 minutes of driving, Martina has 74 miles left to go.
That gives you the following:
74 = -0.85(39) + intercept
intercept = 107.15
Equation is rd = -0.85t + 107.15
remaining after 15 minutes of driving:
rd(57) = -0.85*57+107.15
rd(57) = 58.7 miles
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