Answer:
x=a-d/c+b
Step-by-step explanation:
a-bx =cx+d
collect like terms
a-d=cx+bx
a-d=x(c+b)
x=a-d/c+b
Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
To solve more questions on coordinates plotting and graphs, visit the link below -
https://brainly.com/question/24952385
#SPJ1
If x = 4, what is the value of 10x + 147
Answer:
187
Step-by-step explanation:
10*4=40
40+147=187
Answer:
251
Step-by-step explanation:
x=4
104 +147=251
\(12000 \div 8\)how do we solve this step by step?
Answer:
1500
Explanation:
In order to divide 12,000 by 8, we will make use of the long division method as shown
Hence 12,000 divided by 8 is 1500
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
More maths pl,s answer
Answer:
the answer is
\(2 \div 3xy\)
I been on this for days and no one can give me a right answer
Answer:
2x²=6x-5= x=3+i/2
-x²-10x=34= x = -(5+3i)
Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers
During spring, young moose, unfamiliar with roads and traffic, are wandering around at night in a province, causing risk and road accidents. Suppose that the average number of road accidents involving moose was per day. The government increased the number of hunting licenses and cleared brush to improve drivers' visibility. On one day after these measures were implemented, there were road accidents involving moose.
Required:
a. What would be the chance of such accidents or fewer, assuming the government's measures were ineffective?
b. Do you think the government's measures were effective? State your reasons clearly.
maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4
The maximum value of the objective function is 31.787
How to maximize the function?The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
Read more about maximum functions at:
https://brainly.com/question/14381991
#SPJ1
3. Using exponents, what is the simplified form of (–2x2 y3)3???
Answer:
\(-8x^{6}y^{9}\)
Step-by-step explanation:
\( (-2x^2y^3)^3 = \)
\( = (-2)^3(x^2)^3(y^3)^3 \)
\( = -8x^{2 \times 3}y^{3 \times 3} \)
\( = -8x^{6}y^{9} \)
Yo = 10 mg; The half-life is 100 days.
Answer:
After 100 days, the amount of the substance will decrease to half its original value, so Yo/2 = 5 mg. The half-life of a substance is the time it takes for half of it to decay or disappear. So, every 100 days, the amount of the substance will be halved until there is none left.
Question is not clear.
Solve the inequality.
2>6-3r
The solution is
Answer:
r=9
Step-by-step explanation:
On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
For such more such question on glasses
https://brainly.com/question/11980886
#SPJ8
Dan wants to determine the number of liters of a 20% acid cleaning solution that he should combine with an 80% acid cleaning solution to create 50 liters of a 60% acid cleaning solution. Part A Let z represent the number of liters of the 20% acid cleaning solution. Which equation represents this situation? O 0.6(50) = 0.2x + 0.8x O.0.20 +0.8(50 – x) = 0.6(50) O 0.6(50) = 0.20 +0.8(x – 50) O 0.22 +0.8(x + 50) = 0.6(50) Part B
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Which graph represents the solution set of the compound inequality below?
x+3<= (4x-12) < 20
OH
4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12
6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14
A graph that represents the solution set of the compound inequality is: graph D.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).Next, we would solve the given compound inequality by making x the subject of formula as follows;
x + 3 < 1/2(4x - 12) < 20
Multiplying all through by 2, we have the following:
2x + 6 < 4x - 12 < 40
Next, we would solve the compound inequality in parts:
2x + 6 < 4x - 12
4x - 2x < 12 + 6
2x < 18
x < 18/2
x < 9.
4x - 12 < 40
4x < 40 + 12
4x < 52
x < 52/4
x < 13.
In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).
Read more on inequality here: brainly.com/question/27976143
#SPJ1
The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.
Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200
(a) How much money does Christine earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.
I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!
Answer : Answer:
a) $10 per hour
b) Sandra
Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she works and y is the amount of money she earns
The table shows the amount of money Susan cams for different numbers of hours worked
Susan's Earnings
Time (h) Money Earned
5 40
8 64
10 80
(a) How much money does Sandra eam per hour? Show your work
(b) Who earns more per hour? Justify your answer
Answer:
a)
y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).
y = 10x
y = 10(1)
y = 10
$10 is Sandra's hourly rate.
b)
To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.
5 hours = $40 so per hour is 40/5 = 8
8 hours is 64, so per hour 64/8 = 8
10 hours is 80, so 80/10 = 8
The table is justified at $8 per hour.
We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.
What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
all real numbers greater than or equal to -3
HELP PLEASE
Answer:
All real numbers greater than or equal to -3
Step-by-step explanation:
First look at graph where the line points to which direction of the graph
And look for any closed or open circles in the graph
Since in the graph has a close circle at (-3,-2) meaning it includes that x-value for its domain.
With the graph going to positive infinity it states that the domain is all real numbers.
So in conclusion it has a domain of all real numbers greater than or equal to -3
Anyone know advanced linear algebra and modern algebra?
Answer:
albinia modern alpinia is not a magnet is called the albanian language
Answer:
I know mrden algebra because I am in algebra
Step-by-step explanation:
What is the probability that a randomly chosen student admitted in the hospital is between 11 and 14 years
Answer:
convert 13.025 to base 10
What is the slope of the line that goes through points (2.9) and (5.3)?
Answer:
0 ZER0
Step-by-step explanation:
There is no slope it would be a straight line across the x axis
Answer:
-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-9)/(5-2)
m=-6/3
simplify
m=-2
An ice cream shop wants to be sure their cups and cones hold the same amount ofice cream. If the cups are 3 inches wide and 2 inches tall, what does the height ofthe cone need to be if it has the same width?
As per given by the question,
There are given that cups are 3 inches wide and 2 inches tall.
Now,
For finding the height of cone,
Here use formula of the height of cone.
So,
There are given diameter is 3 inches, and 2 inches tall .
Now,
First find the volume of right circular,
Then,
From the formula of right circula volume,
\(v=\frac{\pi}{4}\times d^2\times h\)Then, substitute the value in above formula,
\(\begin{gathered} v=\frac{\pi}{4}\times d^2\times h \\ =\frac{\pi}{4}\times3^2^{}\times2 \\ =\frac{9\pi}{4} \\ =\frac{9\times3.14}{4} \\ =7.065 \end{gathered}\)Now,
Let us consider the height of cone is h.
it is given that width of the cone is equal to cup.
So,
Diameter is given that is 3.
So,
From the formula of the volume of the cone,
\(v=\frac{1}{3}\times\pi\times r^2\times h\)Put the value of v, and radius r in the above formula to find the,
So, here radius is,
\(\begin{gathered} r=\frac{diameter}{2} \\ r=\frac{3}{2} \end{gathered}\)Then,
\(\begin{gathered} v=\frac{1}{3}\times\pi\times r^2\times h \\ 7.065=\frac{1}{3}\times3.14\times(\frac{3}{2})^2\times h \\ 7.065=2.355h \end{gathered}\)Now, solve for h;
\(\begin{gathered} 7.065=2.355h \\ h=\frac{7.065}{2.355} \\ h=3 \end{gathered}\)Hence, the height of the cone is 3 inc.
Please help thank you!
Answer:
golf: $10batting: $2.50Step-by-step explanation:
We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.
5g +4b = 60 . . . . . Sylvester's expense
3g +6b = 45 . . . . . Lin's expense
Dividing the second equation by 3 gives ...
g +2b = 15 ⇒ 2b = 15 -g
Substituting into the first equation, we have ...
5g +2(2b) = 60
5g +2(15 -g) = 60 . . . . . substitute for 2b
3g = 30 . . . . . . . . . subtract 30, collect terms
g = 10 . . . . . . . divide by 3
__
2b = 15 -10 = 5 . . . . use the value of g to find b
b = 2.5 . . . . . . . . divide by 2
Mini golf costs $10 per round; batting cages cost $2.50 per turn.
Find the quotient of 4x3+12x2-24x(divided by) 4x
Answer:
\(=x^2+3x-6\)
Explanation:
\(=\frac{4x\left(x^2+3x-6\right)}{4x}\)
\(\mathrm{Cancel\:the\:common\:factor:}\:4\)
\(=\frac{x\left(x^2+3x-6\right)}{x}\)
\(\mathrm{Cancel\:the\:common\:factor:}\:x\)
\(=x^2+3x-6\)
\(Hope This Helps!\)
Please solve this question
The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.
We are given that;
The logs log, 26, log, 33 and log3 26
Now,
We can simplify these expressions using the following identities:
eln x = x
log a a = 1
log a (b × c) = log a b + log a c
log a (b / c) = log a b - log a c
Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:
A. eln 4 = 4; log 26 < log 33; so we have:
4 < log 26 < log 33
B. eln 4 = 4; so we have:
log 33 < 4 < log 26 < log 26
C. eln 4 = 4; so we have
log₂ 26 < log 26 < log 33 < 4
D. eln 4 = 4; so we have:
log₂ 26 < log₂ 33 < log 26 < 4
Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.
Learn more about logarithm here:
https://brainly.com/question/20835449
#SPJ1
A force of 200n is inclined at an angle of 120° to another force P. The angle between the 200n force and the resultant force is 50°. Find the magnitude of the force P and the resultant of the two force.?
Answers:
Magnitude of force P = 163.041494
Magnitude of resultant force = 184.320997
Values are approximate. Units are in newtons.
====================================================
Explanation:
Let for P be pulled directly to the east. The vector for this force is <x, 0> where x is positive.
The 200 newton force has the vector <200*cos(120), 200*sin(120)>
The resultant vector is <x+200*cos(120),200*sin(120)>. Each component is the sum of the corresponding components of <x,0> and <200*cos(120), 200*sin(120)>
The resultant vector is also <r*cos(70),r*sin(70)>. Note how 70+50 = 120. The 50 degree angle is known, so we effectively do 120-50 = 70 to find the angle of the resultant vector with the positive x axis.
------------------------------
The resultant vector expressions we found were
<r*cos(70),r*sin(70)><x+200*cos(120),200*sin(120)>Equate the y components of each resultant vector expression. Solve for r
r*sin(70) = 200*sin(120)
r = 200*sin(120)/sin(70)
r = 184.320997021376
Make sure your calculator is in degree mode.
Let's round this r value to 6 decimal places to simplify things a bit
r = 184.320997
------------------------------
Now equate the x components of each resultant vector expression, plug in the r value we found, and solve for x
x+200*cos(120) = r*cos(70)
x+200*cos(120) = 184.320997*cos(70)
x = 184.320997*cos(70) - 200*cos(120)
x = 163.041494
this value is approximate just like r is as well
------------------------------
The magnitude of force P is
magnitude = sqrt(x^2+y^2)
magnitude = sqrt(x^2+0^2)
magnitude = sqrt((163.041494)^2+0^2)
magnitude = 163.041494
Which is equal to the x value. This applies because y = 0.
-----------------------------
The magnitude of the resultant is r = 184.320997 which we found earlier
Plz help me with this problem I also don’t understand. Worth 12 points! Only number 8. I need help with.
Answer:
Where is question
Step-by-step explanation:
During second period, jayla completed a grammar worksheet.of the 30 questions, jayla got 30% right. how many qestions did jayla get right?
We are given that 30% of 30 questions were answered right. To know the number of questions that were right we need to multiply the number of the question by 30%, that is 30/100, like this:
\(30\times\frac{30}{100}\)Solving the operations we get:
\(30\times\frac{30}{100}=9\)Therefore, 9 questions were answered right.
(WILL GIVE BRAINLIEST ASAP) A service that repairs televisions sells maintenance agreements for $10 a year. The average cost for repairing a
television is $34 and 5 in every 100 people who purchase maintenance agreements have televisions that require repair.
Find the service's expected profit per maintenance agreement.
$8.30
$8.64
$9.95
$9.66
Kevin was asked to find 4% of 32. His work is shown below. Do you agreе or disagree? Explain. .4(32)= 12.8
Given the expression 4% of 32. This can be evaluated as shown;
\(\begin{gathered} =\frac{4}{100}\times32 \\ =\text{ 0.04}\times32 \\ =\text{ 1.28} \end{gathered}\)Comparing this to Kevin's calculation, I will have to disagree with Kevin because he wrongly expressed 4% as 0.4 instead of 0.04 thereby falsifying his calculation.
A box contains toffee, coffee, orange, mint and hazelnut
flavour chocolates.
The ratio of toffee: coffee: orange: mint chocolates is 5:4:2:3
The probability of picking a hazelnut chocolate is
How many hazelnut chocolates are in the box?