Answer:
x = 17°
Step-by-step explanation:
the full angle is 90°
90-73 = 17
Solve for x in the equation X^2+2x+ 1 = 17
x=-1+ V15
x=-17 17
X=-2+25
x=-12 13
Answer:
it would be the last answer
Step-by-step explanation:
How do u solve this 1−6x−6≥−11−7x
Answer:
x≥−6
Step-by-step explanation:
−6x−5≥−7x−11
−6x−5+7x≥−7x−11+7x
x−5≥−11
x−5+5≥−11+5
x≥−6
⚠️⚠️ PLEASE SHOW YOUR WORK AND ANSWER !, ⚠️⚠️
** I need to find the slope :’)
Does anyone know what lesson this is i took these notes are they good
Answer:
ngl i learned this type of math pretty sure, and that looks better than my teachers own notes-
Step-by-step explanation:
ima go poof again cuz if i don't ima lose my game ;-;
Answer: I’m to dumb for that
Step-by-step explanation:
My brain is broken just looking at that math
a spinner has eight equally sized regions labeled from 1 to 8. we spin the spinner twice. what is the probability that the first spin is no more than 6 and the second spin is no less than 7? write your answer as a simplified fraction.
Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
probability that first spin is grey = 6/8probability that second spin is blue = 2/8probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16learn more about probability click here:
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What is the rule for multiplying by 6?.
Answer:
If you multiply 6 by an even number, it will end in the same digit. For example, 6 x 4 = 24, so 4 and the 4 in 24 are the same. The number in the tens place will be half the number in the ones place, so the 2 in 24 is half of 4
Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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Find all of the eigenvalues of the matrix A over the complex numbers C. Give bases for each of the corresponding eigenspaces. A = [2 -1]
[ 1 2]
λ1 = ___ has eigenspace span (__) (λ-value with smaller imaginary part) λ2 ___ has eigenspace span (__) (A-value with larger imaginary part)
An eigenvector corresponding to λ₂ = 2 - i is v₂ = [-1, 1].
To find the eigenvalues of matrix A, we need to solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.
Let's compute the determinant:
det(A - λI) = |[2 - λ -1]|
|[ 1 2 - λ]|
Expanding along the first row, we have:
(2 - λ)(2 - λ) - (-1)(1) = (2 - λ)² + 1 = λ² - 4λ + 5 = 0
To solve this quadratic equation, we can use the quadratic formula:
λ = (-(-4) ± √((-4)² - 4(1)(5))) / (2(1))
= (4 ± √(16 - 20)) / 2
= (4 ± √(-4)) / 2
Since we are working over the complex numbers, the square root of -4 is √(-4) = 2i.
λ₁ = (4 + 2i) / 2 = 2 + i
λ₂ = (4 - 2i) / 2 = 2 - i
Now, let's find the eigenvectors corresponding to each eigenvalue.
For λ₁ = 2 + i, we solve the equation (A - (2 + i)I)v = 0:
[2 - (2 + i) -1] [x] [0]
[ 1 2 - (2 + i)] [y] = [0]
Simplifying, we have:
[0 -1 -1] [x] [0]
[ 1 0 - i] [y] = [0]
From the first equation, we have -x - y = 0, which implies x = -y.
Choosing y = 1, we have x = -1.
Therefore, an eigenvector corresponding to λ₁ = 2 + i is v₁ = [-1, 1].
For λ₂ = 2 - i, we solve the equation (A - (2 - i)I)v = 0:
[2 - (2 - i) -1] [x] [0]
[ 1 2 - (2 - i)] [y] = [0]
Simplifying, we have:
[0 -1 -1] [x] [0]
[ 1 0 i] [y] = [0]
From the first equation, we have -x - y = 0, which implies x = -y.
Choosing y = 1, we have x = -1.
In summary:
λ₁ = 2 + i has eigenspace span {[-1, 1]}
λ₂ = 2 - i has eigenspace span {[-1, 1]}
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What is 62% written as a decimal?
Answer:
62% = 0.62 in decimal form. Percent means 'per 100'. So, 62% means 62 per 100 or simply 62/100. If you divide 62 by 100, you'll get 0.62 (a decimal number).
The decimal of 62% is 0.62
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
We have to change 62% in decimal.
As, 62%
= 62/100
And, the number of zeroes in denominator decimals where to put the decimal.
so, 62/100
= 0.62
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if the ratio of the sides of a triangle are 13:14:15 and its perimeter is 84 cm, find the area of the triangle.
Answer:
The ratio of sides of triangle = 13:14:15
perimeter = 84 CM
perimeter of a triangle = Sum of all sides
let the sides of a triangle be 13x, 14x and 15x
84 = 13x + 14x + 15x
84 = 42x
x = 2
13x = 13* 2 = 26 CM
14x = 14*2 = 28 CM
15x = 15*2 = 30 CM
48-15÷{3×(-2-4+11)}+12
Answer:
35
Step-by-step explanation:
48-15÷(3×5)+12
48-15÷15+12
48-1+12
59
answer this plz means alot
Answer:
3x-2 = 7
After that, -2 go in right side like given below:
3x = 7+2
3x = 9
x = 9/3
x = 3.
combining like terms with negative coefficients
2x-4xy+5x-2xy-4x-4y?
Answer: 3x-6xy-4y
Step-by-step explanation: So, it’s been a few years since I’ve been in high school, but if I remember correctly...it should break down as such...
A good method to breaking this down is to use parentheses to break up the equation.
Example: (2x)(-4xy)(+5x)(-2xy)(-4x)(-4y)
Keep in mind we are only using the parentheses as a breaker and not as multiplication as it can be seen.
So, start with the singular ‘x’ variants. (2x) (+5x) (-4x). 2x+5x is 7x. 7x-4x is 3x. Now, move onto ‘xy’ variant. (-4xy) and (-2xy). As these are both negative, they add together to make an even lower number...being -6xy. Onto the final step taking the singular ‘y’ variant. There’s only 1 ‘y’ variant so it just stays -4y.
In the end, you end up with 3x-6xy-4y. :) Hope this helps. If you have any more questions, let me know!
True or false: The figure on the right is the result of decomposing an rearranging the parts of the circle to approximate its area?
Answer:
True if its wrong im Sorry
Step-by-step explanation:
The body of a cent in caterpillar is made up of five spherical parts, 3 of which are yellow and 2 are green. What is the greatest possible number of different types of this caterpillar that could exist?
The greatest possible number of different types of this caterpillar that could exist is 120.
What is the greatest possible number of the caterpillar?
If we assume that the order of the parts does not matter and that all caterpillars with the same color arrangement are considered identical, we can use combinations to find the number of different types of caterpillars that could exist.
First, we need to choose 2 out of the 5 parts to be green, which can be done in 5 choose 2 ways:
5 choose 2 = (5!)/(2!(5-2)!) = 10
For each green-yellow arrangement there are;
3! ways to permute the yellow parts and
2! ways to permute the green parts.
Therefore, the total number of different types of caterpillars is:
10 × 3! × 2! = 10 × 6 × 2 = 120
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what is -144 ÷ 30? please help
Find the value of c such that:
SUM(e^nc)=10
The value of c that satisfies the equation \(\sum_{n=1}^{\infty} e^{nc}=10\) is approximately -0.0451.
What is a equation?
An equation is a mathematical statement that asserts the equality of two expressions.
To find the value of c such that the infinite series \(\sum_{n=1}^{\infty} e^{nc}\) is equal to 10, we can use the formula for the sum of an infinite geometric series with \(a = e^c\).
The formula for the sum of an infinite geometric series is given by:
S = a / (1 - r),
where S is the sum of the series, a is the first term, and r is the common ratio.
In this case, \(a = e^c\) and the common ratio \(r = e^c\).
We can rewrite the equation as:
\(10 = e^c / (1 - e^c)\)
Next, let's solve for c:
\(10(1 - e^c) = e^c\)
\(10 - 10e^c = e^c\)
\(10 = 11e^c\)
\(e^c = 10 / 11\)
Taking the natural logarithm (ln) of both sides:
\(c = ln(10 / 11)\)
Using a calculator, we can find the approximate value of c:
c ≈ -0.0451.
Therefore, the value of c that satisfies the equation \(\sum_{n=1}^{\infty} e^{nc}=10\) is approximately -0.0451.
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A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your value is correct
Answer:
Step-by-step explanation:
The key here is knowing that the equation of the line that passes through these points is same
Thus having (6,14) and (0,0), the slope is as follows;
m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3
Now we can use this slope here to get the value of y in the question
All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)
That would be;
7/3 = y-14/1-6
7/3 = y-14/-5
cross multiply;
-35 = 3(y-14)
-35 = -3y + 42
-3y = -35-42
-3y= -77
y = -77/3
y = 77/3
Find the equation of the line. Write the answer in standard form.
Answer:
1.Given points are:-
(1,2)=(x1/,y1)
(3,4)=(x2,y2)
Now,from two point formula,
y-y1=(y2-y1)/(X2-X1)×(X-X1)
or,y-2=(4-2)/(3-1)×(X-1)
or,y-2=2/2×(X-1)
or,y-2=1(X-1)
or,y-2=X-1
or, X -1-y+2=0
or,X-y+1=0 is the req. eqn in standard form
2.Given points are:-
(2,5)=(x1, y1)
(3,7)=(x2,y2)
Now, from two point formula,
y-5=(7-5)/(3-2)×(X-2)
or,y-5=2/1×(X-2)
or,y-5=2(X-2)
or,y-5=2X-4
or,2X-y-4+5=0
or,2x-y+1=0 is the req. eqn in standard form.
c.do similarly
and*mark me brainliest
Answer:
see explanation
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
First obtain the equations in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
(1)
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (3, 4 )
m = \(\frac{4-2}{3-1}\) = \(\frac{2}{2}\) = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (3, 4 ) , then
4 = 3 + c ⇒ c = 4 - 3 = 1
y = x + 1 ( subtract y from both sides )
0 = x - y + 1 ( subtract 1 from both sides
- 1 = x - y , that is
x - y = - 1 ← in standard form
Use the same procedure for the next 2 questions
(2)
(x₁, y₁ ) = (2, 5 ) and (x₂, y₂ ) = (3, 7 )
m = \(\frac{7-5}{3-2}\) = \(\frac{2}{1}\) = 2 , then
y = 2x + c ← is the partial equation
using the point (2, 5 ) to find c
5 = 2(2) + c = 4 + c ( subtract 4 from both sides )
1 = c
y = 2x + 1 ( subtract y from both sides )
0 = 2x - y + 1 ( subtract 1 from both sides )
- 1 = 2x - y , that is
2x - y = - 1 ← in standard form
(3)
(x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (3, 12 )
m = \(\frac{12-2}{3-5}\) = \(\frac{10}{-2}\) = - 5 , then
y = - 5x + c
using the point (5, 2 ) to find c
2 = - 5(5) + c = - 25 + c ( add 25 to both sides )
27 = c
y = - 5x + 27 ( add 5x to both sides )
5x + y = 27 ← in standard form
2.
Suzy wants to buy a bike. She currently has $30 in her wallet and plans on
saving $10 per week
b. How long will it take Suzy to buy a bike that costs $150? Show your work.
find the gradient vector field of f. f(x, y, z) = 3√x²+y²+z². ∇f(x, y, z) =
The gradient vector field (∇f) of the function f(x, y, z) = 3√(x² + y² + z²) is (∇f) = (3x/√(x² + y² + z²), 3y/√(x² + y² + z²), 3z/√(x² + y² + z²)).
The gradient vector (∇f) of a scalar function f(x, y, z) is a vector that points in the direction of the steepest increase of the function at a given point and has a magnitude equal to the rate of change of the function at that point.To find the gradient vector field of f(x, y, z) = 3√(x² + y² + z²), we need to calculate the partial derivatives of f with respect to each variable and combine them into a vector. The partial derivatives are as follows:
∂f/∂x = 3x/√(x² + y² + z²)
∂f/∂y = 3y/√(x² + y² + z²)
∂f/∂z = 3z/√(x² + y² + z²)
Combining these partial derivatives, we get the gradient vector (∇f) = (3x/√(x² + y² + z²), 3y/√(x² + y² + z²), 3z/√(x² + y² + z²)). This vector represents the direction and magnitude of the steepest increase of the function f at any point (x, y, z) in space.
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Find an equation for the line below.
Answer:
(-4,-5) (6,-3)
Step-by-step explanation:
right..?
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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For Bill's birthday his mom is bringing donuts to school.
She has a coupon to get 2 dozen donuts for $8.00.
How much would just one dozen donuts cost at this price?
Let c represent the cost of the donuts.
Equivalent ratios:
One dozen donuts would cost
Answer:
$4.00
Step-by-step explanation:
A dangle occurs when _____. Group of answer choices a line fails to connect to the end or edge of another line a polygon has no adjacent neighbor a line crosses over itself a point fails to fall on a corresponding line
A dangle occurs when a line fails to connect to the end or edge of another line.
This can be a common issue in spatial data analysis and often needs to be resolved for accurate mapping and analysis.
A dangle is a common error that occurs in computer-aided design (CAD) systems and other drawing applications.
It is an unintended and undesirable condition where a line or curve fails to connect to the end or edge of another line or curve.
Dangles can cause serious problems in the design process, such as incomplete shapes and incorrect measurements, and can lead to errors and inaccuracies in the final product.
Dangles can occur for several reasons.
One of the most common causes is the lack of precision in drawing tools, particularly when working with complex shapes or curves.
Another cause is the use of multiple layers or drawing elements that are not properly aligned or connected.
Additionally, dangles can result from editing or modifying existing lines or curves, which can inadvertently cause them to become disconnected.
One way to avoid dangles is to use tools and features that help ensure precision and accuracy in drawing.
For example, some CAD systems have automatic snap-to-grid features that align lines and curves precisely to the grid lines.
Other tools, such as line extensions and trimming, can be used to connect and trim lines and curves accurately.
In summary, a dangle is an error that occurs when a line or curve fails to connect to the end or edge of another line or curve.
Dangles can cause significant problems in the design process and lead to inaccuracies and errors in the final product.
To avoid dangles, it is essential to use precise drawing tools and techniques, and to be mindful of the alignment and connectivity of drawing elements.
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5. Jackie has 20 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if
she has $1.45? Write, two equations to represent this situation, then solve demonstrating the substitution
method
Answer:
11 nickels and 9 dimes.
Step-by-step explanation:
11x5=55+(9x10)=55+90=145
145-(11x5)=145-55=90÷10=9
nickels: 11
dimes: 9
11+9=20
Answer:
9 Dimes and 11 Nickels
Step-by-step explanation:
1.45= 145
N=5
D=10
D>N
d*9=90
n*11=55
90+55=145
what is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question.
a. 0.14
b. 0.16
c. 0.86
d. 0.98
This region as the same area as the one in your previous question.
Pr[1 < Z < 2] = Pr[-2 < Z < -1] ≈ 0.14
Answer:
.86
Step-by-step explanation: i just took the test so sorry if its wrong for this one but the other graph where the black is on the left side like this one is .14
What is the remainder when (4x3 + 3x2 - 17x -12) is divided by (x+2)?
Answer:
111
Step-by-step explanation:
(4×3+3×2-17×-12)÷(×+2)
(12+6+204)÷(2)
(222)÷(2)
222÷2
111
Please don’t judge me please if I don’t know
Answer:
X intercepts are found when y is equal to zero.
0=2x+4
2x= -4
2x/2= -4/2
x= -2
Hopefully this helps!
Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus
for $856.50 and budgeted $24.75 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.