Answer:
-7
Step-by-step explanation:
^
Answer:
-7
Step-by-step explanation:
Please help me solve this question
Answer:D
Step-by-step explanation: Multiply the expression
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
To find the missing angle's measure
⇒ important to understand the sum of the angles of a triangle
⇒ the sum of every angle of any triangle in all cases equal to 180
degrees
What is the information given:
⇒ one angle is of 94 degrees and the other of 46 degrees
Using the information in the first section and the information given in the diagram, let's set up an equation:
[tex]94+46+x = 180\\140+x = 180\\x = 40[/tex]
The measure of the missing angle is 40 degrees
Hope that helps!
X' + 2y' + x = 0 , x' - y' + y = 0 x(0) = 0 and y(0) = 1
This looks like a system of differential equations.
[tex]\begin{cases}x' + 2y' + x = 0 \\ x' - y' + y = 0 \\x(0)=0, y(0)=1\end{cases}[/tex]
Eliminating x' gives
[tex](x'+2y'+x)-(x'-y'+y) = 0 - 0 \implies 3y' - y + x = 0[/tex]
and eliminating y' gives
[tex](x'+2y'+x) + 2(x'-y'+y)=0+2\times0 \implies 3x' + x + 2y = 0[/tex]
so that we can rewrite the system as
[tex]\begin{cases}3x' = -x - 2y \\ 3y' = -x + y\end{cases}[/tex]
or equivalently in matrix form as
[tex]\begin{bmatrix}x\\y\end{bmatrix}' = \dfrac13 \begin{bmatrix}-1&-2\\-1&1\end{bmatrix} \begin{bmatrix}x\\y\end{bmatrix}[/tex]
Compute the eigenvalues for the coefficient matrix:
[tex]\det\begin{bmatrix}-1-\lambda&-2\\-1&1-\lambda\end{bmatrix} = (-1-\lambda)(1-\lambda) - 2 = \lambda^2 -3 = 0 \implies \lambda=\pm\sqrt3[/tex]
Compute the corresponding eigenvectors:
[tex]\lambda=\sqrt3 \implies \begin{bmatrix}-1-\sqrt3&-2\\-1&1-\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1=(1-\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1-\sqrt3\\1\end{bmatrix}[/tex]
[tex]\lambda=-\sqrt3 \implies \begin{bmatrix}-1+\sqrt3&-2\\-1&1+\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1 = (1+\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]
We end up multiplying the matrix by 1/3, so the eigenvalues also get scaled by 1/3 and λ = ±1/√3. The eigenvectors stay the same.
Then the characteristic solution to the system is
[tex]\begin{bmatrix}x\\y\end{bmatrix} = C_1 e^{t/\sqrt3} \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 e^{-t/\sqrt3} \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]
Use the initial conditions to solve for the constants.
[tex]\begin{bmatrix}0\\1\end{bmatrix} = C_1 \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]
[tex]\implies \begin{cases}(1-\sqrt3) C_1 + (1+\sqrt3) C_2 = 0 \\ C_1 + C_2 = 3\end{cases}[/tex]
[tex]\implies C_1=\dfrac{3+\sqrt3}2, C_2=\dfrac{3-\sqrt3}2[/tex]
Then the particular solution is
[tex]\begin{bmatrix}x\\y\end{bmatrix} = \dfrac{3+\sqrt3}6 e^{t/\sqrt3} \begin{bmatrix}1-\sqrt3\\1\end{bmatrix} + \dfrac{3-\sqrt3}6 e^{-t/\sqrt3} \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]
or
[tex]\begin{cases}x(t) = -\dfrac1{\sqrt3} e^{\sqrt3 \, t} + \dfrac1{\sqrt3} e^{-\sqrt3\,t} \\\\ y(t) = \dfrac{3+\sqrt3}6 e^{\sqrt3\,t} + \dfrac{3-\sqrt3}6 e^{-\sqrt3\,t}\end{cases}[/tex]
Question 8 of 10
If a student answered 69 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers. Need help ASAP
A.
30/100
B. 0.69%
C. 31%
D. 69%
E. 31/100
F. 69/100
Answer: I believe B and F
Step-by-step explanation:
Question is in picture
Answer: Heat pollution.
If you are to search up
heat pollution occurs because?
the answer that will pop up is:
The main reasons of thermal pollution are industries and power plants, withdrawing water (a powerful sink for heat waste) from streams for cooling their generators and machines, and then releasing back into the water bodies, which elevates the temperature of freshwater habitats (Miara et al., 2018).
Variability ? I'm confused
Please help meeee!!!!!
Answer:
Now plot those points in graph and find intersection hope it helps you.......
Fifty is a composite number. Use
a factor tree to find the prime
factorization of 50.
Answer:
2*5*5
Step-by-step explanation:
50 ---> 25 * 2
25 = 5*5
50 = 2*5*5
Hope this helps :)
Have a nice day!
Find the turning point of y=x^2+10x+12
Answer:
vertex = (- 5, - 13 )
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the turning point ( vertex) is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 10x + 12 ← is in standard form
with a = 1, b = 10 , then
x = - [tex]\frac{10}{2}[/tex] = - 5
substitute x = - 5 into the equation and evaluate for y
y = (- 5)² + 10(- 5) + 12 = 25 - 50 + 12 = - 13
turning point = (- 5, - 13 )
A raffle ticket is sold for $3.50 each and the prize for winning the raffle is $250. If 100
people entered the raffle, what is:
the expected value? =
are you expected to win or lose the raffle? =
a fair price for the raffle ticket? =
What does the notation P(B|A) mean?
Answer:
the answer for this one it should be the probability or chances that the event b occurs when the event a has occured.
Step-by-step explanation: I hope this help you pal or folk and have a great day.
5x+2y=-3
-3x-y=2
Use determinant method and Gauss Jordan Elimination method to solve the systems of linear equation.
please with working out
Find the area of the regular 18-gon with Radius is 7 mm
In centimeters, what is the unknown length in this right triangle?
A right triangle with side length 60 centimeters, x, and hypotenuse of 61 centimeters.
Answer:
Given:-Side length ( perpendicular = 60 cm)
Hypotenuse = 61 cm
To find :-Base length
Solution:By Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
61² = 60² + base²
3721-3600 = Base²
√121 = base
11cm = base
Answer:
Base = x = 11 cmStep-by-step explanation:
In the question we are given ,
Side length ( Perpendicular ) = 60 cm Hypotenuse = 61 cmAnd we have asked to find the length of base that is denoted by x .
Solution : -
According to Pythagoras Theorem ,
[tex] \longrightarrow \purple{\boxed{H {}^{2} = P {}^{2} + B {}^{2} }} \longleftarrow[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseNow , substituting value of hypotenuse, perpendicular and base :
[tex] \hookrightarrow \: 61 {}^{2} = 60 {}^{2} + x {}^{2} [/tex]
Now by squaring 61 and 60 , we get :
[tex] \hookrightarrow \:3721 = 3600 + x {}^{2} [/tex]
Now transposing 3600 to left hand side :
[tex] \hookrightarrow \:3721 - 3600 = x {}^{2} [/tex]
Now subtracting 3600 from 3721 :
[tex] \hookrightarrow \:121 = x {}^{2} [/tex]
[tex] \hookrightarrow \: \sqrt{121} = x[/tex]
We know that 11 × 11 is equal to 121 that means square root of 121 is 11 . So :
[tex] \hookrightarrow \: \red{ \boxed{11 \: cm = x}}[/tex]
x = baseHenceforth, length of base of right triangle is 11 cm .#Keep LearningConvert the decimal to a percent. 0.725
Answer:
72.5% out of 100%
Step-by-step explanation:
0.725 is 72.5% of 1. 100% technically counts as 1. so 72.5%
Find the measures of the angles in each triangle.
Answer:
55°
Step-by-step explanation:
so,area of a triangle is equal to 180°which means:(x-2)° + x° + 72° =180°take 72° to the other side and it will be negative(x-2)°+x°=180°-72°=108x-2+x=108x+x=1102x=110x=55I hope that helps
Kenji and Isabel are standing exactly opposite one another on the banks at the edge of either side of a 40 m wide river. Isabel turns and walks 13 m along the bank of the river. About how far apart is Isabel from Kenji after Isabel walks along the bank of the river? Enter your answer, rounded to the nearest meter, in the box.
Answer:
42
Step-by-step explanation:
40^2+13^2=x^2
1600+169=x^2
1769=x^2
1769−−−−√=x2−−√
±42≈x
solve 3/8[-8+16-(-2 1/2)]
3.375
hope it helps...!!
Mrs. Welch and her 5 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available (there are no two the same). In how many ways can the selections be made?
Nancy Regan purchased a new diamond bracelet for $12,600. The state sales tax is 6% and the federal excise tax on the jewelry is 11%. What is the total purchase price of the bracelet? Round your answer to the nearest cent.
Using proportions, it is found that the total purchase price of the bracelet is of $10,769.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we consider the two taxes, of 6% and 11%, hence the price suffers an increase of 17%, that is, the price is multiplied by 117% = 1.17 to reach $12,600, hence:
1.17p = 12600
p = 12600/1.17
p = 10769.
The total purchase price of the bracelet is of $10,769.
More can be learned about proportions at https://brainly.com/question/24372153
Which of the following sets of numbers is a Pythagorean triple?
14, 40, 50
7, 24, 31
7, 20, 27
14, 48, 50
Answer:
the answer your looking for would be 14, 48, 50.
Step-by-step explanation:
Hope this helps!
Answer:
14, 48, 50 have a good day
Step-by-step explanation:
PLEASE ANSWER! WILL GIVE BRAINLIEST!
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
1. m∠5 = 75° (corresponding angles theorem)
2. Sum of angles in a triangle = 180°
3. m∠3 = 55°
4. Straight line angle = 180°
5. m∠2 = 50°
What is the Corresponding Angles Theorem?If two corresponding angles are formed when a transversal intersect parallel lines, they are both congruent based on the corresponding angles theorem.
1. m∠5 = m∠1 (corresponding angles theorem)
m∠5 = 75°
2. Sum of angles in a triangle = 180°
3. m∠3 + m∠4 + m∠5 = 180° (sum of triangle)
Substitute
m∠3 = 180 - 50 - 75 = 55°
4. Straight line angle = 180°
5. m∠2 = 180 - m∠3 + m∠1 (straight line angle)
m∠2 = 180 - 55 - 75
m∠2 = 50°
Learn more about corresponding angles theorem on:
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Please help!!!!!!!! Determine the function which corresponds to the given graph.
The rational function shown in the graph is:
[tex]y = \frac{x - 6}{x - 5}[/tex]
How to determine the function?
First, we can see that we have an asymptote at x = 5, so the denominator becomes equal to zero when x = 5.
Then the rational function is something like:
[tex]y = \frac{g(x)}{x - 5}[/tex]
We also can see that when x = 6, the function intercepts the x-axis, then we must have that:
g(6) = 0
So we can define:
g(x) = x - 6
So the rational function is:
[tex]y = \frac{x - 6}{x - 5}[/tex]
If you want to learn more about rational functions, you can read:
https://brainly.com/question/1851758
Write the multiplication equation that represents the model
Answer:
2/3 × 2/5 = 4/15
Step-by-step explanation:
see image. If you just look at the horizontal lines the rectangle is divided into thirds. Two of the sections are highlighted indicating 2 out of 3, or 2/3.
If you then consider the vertical lines. There are 5 sections and 2 out of the 5 are highlighted indicating 2/5.
When you overlap both images (which is what the original image you posted was) you get a small section that is doubly highlighted. In your original image it is kind of purple (I marked them in yellow) In the double-layered image, there are 15 small sections. 4 are highlighted (double-highlighted) This is 4/15.
2/3 × 2/5 = 4/15
I supposed it could also be
2/5 × 2/3 = 4/15
Numerically, these are the same. They have the same result. I hope this helps!
Please please help!!! will give brainliest
Answer: i think the answer is 116. if it is not i am terribly sorry.
Step-by-step explanation:
Edna, Fatimah and Toby had a sum of money. The amount of money Edna had was 4 times the amount of money Fatimah had. The ratio of the amount of money Fatimah had to the total amount of money Toby and Fatimah had was 5:8. After Fatimah gave $30 to Toby, Toby had as much money as Fatimah. How much more money did Edna have than Toby in the end?
HELP ME PLEASE ! HOMEWORK DUE IN LESS THAN 2 HOURS! NO CLUE ON HOW TO DO THIS ! OFFERING 15 POINTS
Answer:
Edna had $510 more amount of money than Toby in the end.
Step-by-step explanation:
LET :-
Edna's amount of money - x
Fatimah's amount of money - y
Toby's amount of money - z
Now,
By the question,
x = 4y
y : (y + z) = 5 : 8
y - 30 = z + 30
Now,
y : (y + z) = 5 :8
or, y/(y + z) = 5/8
or, 8y = 5y + 5z
or, 3y = 5z
so, y = 5z/3
Now,
y - 30 = z + 30
or, 5z/3 - 30 = z + 30
or, (5z - 90)/3 = z + 30
or, 5z - 90 = 3z + 90
or, 5z - 3z = 90 + 90
or, 2z = 180
so, z = 90
Toby's amount of money - $90
Now,
y = 5z/3
or, y = 5 * 90/3
or, y = 5 * 30
so, y = 150
Fatimah's amount of money - $150
Again,
x = 4y
or, x = 4*150
or, x = 600
Edna's amount of money - $600
Now,
$600 - $90
= $510
Therefore,Edna had $510 more amount of money than Toby in the end.
Simplifly the expression: x-3x-(-5x)
Answer:
The answer is 3x.
Step-by-step explanation:
I used a calculator
sin(α)=725 sin ( α ) = 7 25 and α is in quadrant II and cos(β)=8/7
Answer:
sin (α )= 72 5sin (α) = 725
Step-by-step explanation:
68 is 17% of what number?
68 = 0.17 • X
x = [?]
Answer:
400
Step-by-step explanation:
Division cancels multiplication. Divide by 0.17 to isolate "x" on the right side of the equation.
68 = 0.17 * x
divide both sides by 0.17
400 = x
68 is 17 percentage of the number 400.
To find the number that 68 is 17% of, we can set up the equation:
17% of x = 68
To solve for x, we need to divide both sides of the equation by 17% (or 0.17 as a decimal):
x = 68 / 0.17
Evaluating the division:
x=400
Therefore, 68 is 17% of 400.
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the final price of a book is $27 dollars. An 8% sales tax was added to the original price, then you used a coupon for 50% off. What was the original price of the book?
Answer:
14.58
Step-by-step explanation:
x\27 = 54/100 cross multiply then divide by 100% x=Original price
so then you'll get 14.58