Answer:
hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)
Step-by-step explanation:
Therefore , the solution of the given problem of linear equation comes out to be (2,2).
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
=> y+ x = 3
=> y= 3-x
=> x= y = 1
=>3-x =1
=> x = 2
=> y = 2
(2,2)
Therefore , the solution of the given problem of linear equation comes out to be (2,2).
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By which number 4704 must be divided so as to obtain a perfect square
Answer:
6 the last one
Step-by-step explanation:
4704/6=784
784 squared is 28
making it a perfect square unlike the rest which have excess numbers after the decimal
Answer:
6
Step-by-step explanation:
WHEN YOU DIVIDE 4704 BY 6 YOU GET 784
IN ORDER TO GE THE PERFECT SQUARE YOU HAVE TO FIND THE LCM O 4704
What is the slope of (2,-12), (18,15)
Answer:
Step-by-step explanation:
The slope of a line given two points [tex](x_0,y_0)[/tex] and [tex](x_1,y_1)[/tex] is
[tex]m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}[/tex]
Given that c:d is 4:3 and d:u is 2:9, find c:d:u.
Answer:
c : d : u = 8 : 6 : 27
Step-by-step explanation:
Given c:d = 4:3 and d:u = 2:9, you want c:d:u.
Ratio unitsTo write the desired ratio, we need to convert the others so they have the same number of ratio units representing 'd'. That number can be the least common multiple of 3 and 2, which is 6. Knowing this, we can write ...
c:d = 4:3 = 8:6
d:u = 2:9 = 6:27
Then the desired ratio is ...
c:d:u = 8:6:27
A hill rises from 100 m to 175 m over
a horizontal distance of 300 m. What
is the percent slope of the hill?
20 pts
Answer:
25%
Step-by-step explanation:
slope = (175-100)/300 = 75/300 = ¼
the percent slope = ¼×100%= 25%
Find the length of AB.
The length of AB in the line segment is 21 units.
How to find the length of a line segment?A line segment is bounded by two distinct points on a line. In other words, a line segment is a part of a line that connects two points which are considered to be its endpoints.
Therefore, let's find the length AB, in the line segment AC.
Hence,
AC = AB + BC
AC = 23
AB = 2x + 7
BC = 3x - 19
Therefore,
23 = 2x + 7 + 3x - 19
23 = 5x - 12
23 + 12 = 5x
35 = 5x
divide both sides by 5
x = 35 / 5
x = 7
Therefore,
AB = 2x + 7 = 2(7) + 7 = 14 + 7 = 21
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3004=3
4004=7
5008=4
6006=??
Answer:
5
Step-by-step explanation:
HELP ME !!
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
what is the trigonometric ratio for cos n
Answer: 12/13, i think
Step-by-step explanation:
Select all equations that have n = 6 as a solution
Answer:
B. n + 6 = 12
C. 4 • 6 = 24
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
The answer is b. n+6 and c. 4×n=24.
hope this helps,have a great day!!
~Pinky~
I need this Please help me
9514 1404 393
Answer:
(c) Not parallel: corresponding angles are not congruent
Step-by-step explanation:
The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.
Negative 9x plus 1 = negative 80
Answer:
x = 9
Step-by-step explanation:
first, you would subtract 1 from 80 and get -9x = -81 then you can just divide -81 by -9 or 9 from 81, either way, you'll have x = 9
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x=9}[/tex]
»»————- ★ ————-««
Here’s why:
We would have to use inverse operations to solve the equation.⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Equation for 'x':}}\\\\-9x+1=-80\\---------\\\rightarrow -9x+1-1=-80-1\\\\\rightarrow -9x=-81\\\\\rightarrow\frac{-9x=-81}{-9}\\\\\rightarrow \boxed{x=9}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Steps to solve equation
An equation may have more than one solution.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.
Steps to solve a linear equation:
1. If necessary, remove the parentheses and use the distributive property.
2. By merging like terms, make both sides of the equation simpler.
3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.
4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.
5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.
6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.
7. Get the answer by isolating the variable.
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Find the measures of the unknown angles in the triangle shown. Round answers to the nearest degree.
Answer:
y is 40.54 degrees
x is 49.46 degrees
Step-by-step explanation:
Recall that Pythagoras theorem states that
a^2 + b ^2 = c^2
where a and b are the opposite and adjacent sides of a right angled triangle and c is the hypotenuse side
Using the notation SOH CAH TOA
Sin y = 13/20 where 13 is the length of the opposite side and 20 is that of the hypotenuse side.
y = sin^-1 0.65
y = 40.54 degrees
Considering angle x,
Cos x = 13/20 where 13 is the adjacent side and 20 is the hypotenuse side
x = Cos^-1 0.65
= 49.46 degrees
Answer:
x=49
y=41
Step-by-step explanation:
Ignore the blue dots they are wrong
Answer:
1. true
2. false
3. false
4. true
Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.9 hours, and that the oral dose taken is 9 mg.
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
c) Use the half-life to find the constant of proportionality k.
d) How much of the 9 mg dose is still in the body after 12 hours?
Answer:
a. dQ/dt = -kQ
b. [tex]Q = 9e^{-kt}[/tex]
c. k = 0.178
d. Q = 1.063 mg
Step-by-step explanation:
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
Let Q be the quantity of drug left in the body.
Since the rate of decrease of the quantity of drug -dQ/dt is directly proportional to the quantity of drug left, Q then
-dQ/dt ∝ Q
-dQ/dt = kQ
dQ/dt = -kQ
This is the required differential equation.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
with t = 0, Q(0) = 9 mg
dQ/dt = -kQ
separating the variables, we have
dQ/Q = -kdt
Integrating we have
∫dQ/Q = ∫-kdt
㏑Q = -kt + c
[tex]Q = e^{-kt + c}\\Q = e^{-kt}e^{c}\\Q = Ae^{-kt} (A = e^{c})[/tex]
when t = 0, Q = 9
[tex]Q = Ae^{-kt} \\9 = Ae^{-k0}\\9 = Ae^{0}\\9 = A\\A = 9[/tex]
So, [tex]Q = 9e^{-kt}[/tex]
c) Use the half-life to find the constant of proportionality k.
At half-life, Q = 9/2 = 4.5 mg and t = 3.9 hours
So,
[tex]Q = 9e^{-kt}\\4.5 = 9e^{-kX3.9}\\\frac{4.5}{9} = e^{-kX3.9}\\\frac{1}{2} = e^{-3.9k}\\[/tex]
taking natural logarithm of both sides, we have
[tex]ln\frac{1}{2} = ln(e^{-3.9k})\\\\-ln2 = -3.9k\\k = -ln2/-3,9 \\k = -0.693/-3.9\\k = 0.178[/tex]
d) How much of the 9 mg dose is still in the body after 12 hours?
Since k = 0.178,
[tex]Q = 9e^{-0.178t}[/tex]
when t = 12 hours,
[tex]Q = 9e^{-0.178t}\\Q = 9e^{-0.178X12}\\Q = 9e^{-2.136}\\Q = 9 X 0.1181\\Q = 1.063 mg[/tex]
y to the -3 power
pls help!!!!!!!!!
Answer:
any number goes down 3 places
Step-by-step explanation:
EX:10 to the power of -3 = 0.001
Evaluate f(x)=e4x+5+2 when x=−2. Give an approximate answer rounded to two decimal places.
Answer:
f(-2) ≈ 2.00
Step-by-step explanation:
f(x) = e^(4x + 2) + 2
At x = -2
f(-2) = e^(4(-2) + 2) + 2
f(-2) = e^(-8 + 2) + 2
f(-2) = e^(-6) + 2
use calculator
f(-2) = 0.002478752176666 + 2
f(-2) = 2.002478752176666
Rounded to 2DP
f(-2) ≈ 2.00
I need to know the first and last one
The lines FE and GH are parallel to each orther.
What is congruent of the triangle?
The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.
Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."
Given that
ΔPEI = ΔGHI
here ∠pie = ∠gih
PI =HI
GI=EI
So both triangles are congruent
So the FE║GH.
Hence the lines FE and GH are parallel to each orther.
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Now find the sum.What is 3/7 +1/3
Answer: It is 16/21
Step-by-step explanation: Once you find a common denominator just add the top and leave the bottom alone
Answer:
16/21
Step-by-step explanation:
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft Determine the flag's width and length if the length is 460 ft greater than the width.
Answer:
the flag is 50 feet long and 160 feet wide
Answer: The width is 330 feet and the length is 790 feet.
Step-by-step explanation:
We will write a system of equations to help us solve. Let w be the width and l be the length.
2w + 2l = 2,240 ft
l = 460 ft + w
Now, we will solve for w, the width, by substituting one equation into the other.
2w + 2l = 2,240 ft, l = 460 ft + w
2w + 2(460 ft + w) = 2,240 ft
2w + 920 ft + 2w = 2,240 ft
4w + 920 ft = 2,240 ft
4w = 1,320 ft
w = 330 ft
The width is 330 feet.
Now, we will solve for l, the length.
l = 460 ft + w, w = 330 ft
l = 460 ft + 330 ft
l = 790 ft
The length is 790 feet.
what is the solution 5=x+3
Answer:
x = 2
Step-by-step explanation:
2 + 3 = 5
ccording to the Australian Bureau of Agricultural and Resource Economics, Queensland egg farmers produce millions of eggs every year. Suppose egg production per year in Queensland is normally distributed, with a standard deviation of 83 million eggs. If during only 3% of the years Queensland egg farmers produce more than 2,655 million eggs, what is the mean egg production by Queensland farmers (in million)?
Round your answer to 1 decimal place.
The standard deviation of 83 million eggs and 2,655 millions eggs represent that of 3% of the farmers, of the production that is normally distributed, indicates that the mean egg production by Queensland farmers is about 2498.1 million eggs.
What is a normal distribution?A normal distribution is a probability distribution such that the values of the distribution are symmetrical around the mean value of the distribution.
The standard deviation, σ = 83 million eggs
The percentage of farmers that produce more than 2,655 million eggs, x = 3%
The formula for the z-score is; [tex]Z = \dfrac{x - \mu}{\sigma}[/tex]
Therefore, we get;
[tex]Z = \dfrac{2655 - \mu}{83}[/tex]
From the z-score table for P(Z > Z₁), where Z₁ is the z-score corresponding to Φ(1 - 0.03) = Φ(0.97)
The z-value corresponding to Φ(0.97) is about 1.89
Therefore;
[tex]Z = \dfrac{2655 - \mu}{83} \approx 1.89[/tex]
83 × 1.89 ≈ 2655 - μ
μ ≈ 2655 - 83 × 1.89 = 2498.1
The mean egg production by Queensland farmers is about 2498.1 million eggs per year
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Does anyone know how to solve this?
Answer:
The right answer is C ( π/2)
If m = 2, n = 3 and p = 0; then what is the value of 4mp + 3n
Answer: The answer is 9.
Answer:
9
Step-by-step explanation:
4mp + 3n
Given:
m = 2
n = 3
p = 0
Work:
4mp + 3n
4(2)(0) + 3(3)
0 + 9
9
Can someone please help me?? T^T
What is the slope of each line?
Answer:
Graph 1: The slope is -1/1 or -1
Graph 2: The slope is -1/1 or -1
Step-by-step explanation:
I hope this helps!
HELPPPP
When y=4x-6 find y if x=1/2
Answer: y = -4
Step-by-step explanation:
y = 4x-6
y = 4(1/2)-6
y = 2-6
y = -4
Answer:
Step-by-step explanation:
Y = 4x - 6
Putting value of x = 1/2 in the equation
Y = 4(1/2) - 6
= 2 - 6
= - 4
The greatest value of 7x would be?
Answer: 70
Step-by-step explanation:
the correct answer is 70
Pls help me, if you get it right I will give you Brainlist!
Its 336 sorry if I'm wrong
Restrictions must be indicated for rational functions involving a denominator because__________
is not defined
Answer:
rational expressions
hope I helped! :)
help?
no links and no files please
Answer:
5
Step-by-step explanation:
8235