Answers
Related Questions
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
Answers
Let's solve the system of equations:
1. 3x + y = 12
2. x + 4y = 4
We can solve this system of equations using various methods such as substitution or elimination. Let's use the elimination method here:
Multiply equation 1 by 4 and equation 2 by 1 to eliminate the y term:
1. 12x + 4y = 48
2. x + 4y = 4
Now, subtract equation 2 from equation 1:
12x + 4y - (x + 4y) = 48 - 4
Simplifying:
11x = 44
Divide both sides by 11:
x = 4
Substitute the value of x into equation 2 to solve for y:
4 + 4y = 4
4y = 4 - 4
4y = 0
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
The correct graph of this system of equations would be two lines intersecting at the point (4, 0) on the coordinate plane.
Prove that the union of two subspaces of V is a subspace of V if and only if one of the subspaces of v is contained in the other. [duplicate]
Answers
The union of two subspaces of V is a subspace of V if and only if one of the subspaces of v is contained in the other
Let \($V_1, V_2$\) be the two subspaces of V. Suppose \($V_1 \cup V_2$\) is a subspace of V.
Then if \($x_1 \in V_1$\) and \($x_2 \in V_2$\) then we must have \($x_1 \in V_1 \cup V_2$\) and\($x_2 \in V_1 \cup V_2$\) so that we must have \($x_1+x_2 \in V_1 \cup V_2$\).
If and only if one of the subspaces is contained in the other, the union of the two subspaces is a subspace.
But this by definition means \($x_1+x_2 \in V_1$\) or \($x_1+x_2 \in V_2$\). Either way, by the existence of additive inverses and the closure properties for the subspaces we have:
\(\left(x_1+x_2\right)+\left(-x_1\right) \in V_1\)
Or
\(\left(x_1+x_2\right)+\left(-x_2\right) \in V_2\)
By the associative/commutative properties, we have:
\(x_2 \in V_1 \text {, or, } x_2 \in V_1\)
Thus we have shown if \($x_1 \in V_1$\) and \($x_2 \in V_2$\) then \($x_1 \in V_2$\) or \($x_2 \in V_1$\). If \($x_1 \in V_2$\) for all \($x_1 \in V_1$\) then we have \($V_1 \subseteq V_2$\). If \($x_2 \in V_1$\) for all \($x_2 \in V_2$\) then \($V_2 \subseteq V_1$\). In either case, we see one subspace is a subset of the other.
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find x.
Find x.
Find x. find x.
find x.
find x
Answers
Answer:
x = 5
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
Therefore m<A + m<B = m<C
13x - 11 + 4x + 1 = 18x - 15 add like terms
17x - 10 = 18x - 15
15 - 10 = 18x - 17x
5 = x
Answer:
x = 5
Step-by-step explanation:
Alice is saving money she makes a deposit of $5 the first month then every month she deposits $10 An refers to months what is the sequence
Answers
Answer:
5 15 25 35 45 55 65 75 ect...
Step-by-step explanation:
Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue. What is the probability that
the coin flips heads, and
the spinner lands on either red or blue?
Enter your answer as a percentage, to the nearest percent.
Answers
Answer:
1/3 ! i think?
Step-by-step explanation:
there's a 1/2 chance it lands on heads and a 2/3 chance it lands on red or blue and 1/2 x 2/3 is 1/3
The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.
Calculation of the probability:Since Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue.
Since there is half chance for heads and 2 by 3 for landing on red or blue
So, the probability should be
\(= 1/2 \times 2/3 \\\\= 1/3\)
Hence, The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.
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The Simple interest on $160
for 6 month's at 5% per
annum
Answers
Answer:4$
Step-by-step explanation:
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answers
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
Given sinz = -4/5 for pi < z < (3pi)/2, find the value of cosz.
Answers
The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.
According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.
The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:
Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25
Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.
So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.
Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
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If point C is reflected through the line x=y, what are the coordinates of C?
Answers
Answer:
Is there suppose to be a graph?
If not, if the original coordinates were (x,y) the new ones will be (y,x)
Step-by-step explanation:
The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
What is reflection?A reflection is "geometric transformation results in mirror image".
According to the question,
The point C(x, y) is reflected through the line X - Y = 0.
Formula to find new coordinates (x-x₁)/a =(y-y₁)/b= -2(ax₁+by₁+c)/(a² + b²)
The point (x, y) = (x₁, y₁) and from the line a = 1, b = - 1,c = 0.
(x-x₁)/1 = -2(x₁ - y₁)/2
x - x₁ +x₁ -y₁ =0
x = y₁.
similarly we get y = y₁
Hence, The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
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I’m am really confused on this question
Answers
Answer:
2x^7
Step-by-step explanation:
add the exponents because they both are x
2x^4*x^3=2x^7
7cm 24cm 25cm
Is the triangle right angle right or not
Answers
Answer:
yes
Step-by-step explanation:
if you square the lengths of the sides of the, you will get 49, 576, and 625.
49 + 576 = 625
(7)^2 + (24)^2 = (25)^2
Which would make it a right triangle
Hope this helps:).......if not sorry for wasting your time and may God bless you:)
Prove (a) B(x+1,y)= x+y
x
B(x,y). (b) Γ(2x)= π
2 2x−1
Γ(x)Γ(x+ 2
1
).
Answers
The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX
a. To prove B(x+1, y) = x * B(x, y), proceed as follows.
Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).
Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .
Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).
Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.
Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).
Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .
Substitute this formula in the previous step to get,
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)
= x * B(x, y)
You have now proved B(x+1, y) = x * B(x, y).
b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).
Integrate ∫[0, ∞] (x(2x-1) * Start with dx.
Evaluating this integral using the permutation u = du is obtained.
Simplify the integral to (1/2) * Γ(x + 1/2).
Express sin(πx) as π / (Γ(x) * Γ(1 - x)).
Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.
Substituting the equations,
The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *
We get * (π / (Γ(x) * Γ(1 - x)))) dx.
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Help me find the answer for this question
Answers
The graphs of the functions f(x) and g(x) are attached with the answer.
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.Given a function as \(${\displaystyle f\colon X\to Y}\) its graph is, formally, the set -\(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)
Given are the functions f(x) and g(x).
The given functions are -
f(x) = \($100(\frac{3}{5})^{x}\)
g(x) = \($100(\frac{2}{5})^{x}\)
Refer to the graphs of the function f(x) and g(x).
Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.
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Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points. R = 6 sin theta and r = 6 cos theta the intersection point(s) is/are_______
(Type an ordered pair. Type exact answer for each coordinate, using phi as needed. Type the coordinate for theta in radians between 0 and phi. Use a comma to separate answers as needed)
Answers
The intersection points are (6, 6) and (-6, -6).
What is Intersection points?
The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.
The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.
6 sin(Ф) = 6 cos(Ф)
Dividing both sides by 6 and rearranging terms, we get:
tan(Ф) = 1
This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].
Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.
Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).
Therefore, the intersection points are (6, 6) and (-6, -6).
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Alan is growing carrots, parsnips and turnips. He has grown h carrots, 2h parsnips and 5 turnips. In total he has grown 11 vegetables. What is the value of H?
Answers
Hello !
Answer:
\( \boxed{h = 6}\)
Step-by-step explanation:
He has grown :
h carrots2h parsnips5 turnipsWe also know that in total, he has grown 11 vegetables.
We will have to solve an equation !
\(h + 2h + 5 = 11\)
\( \iff3h + 5 = 11\)
We want to isolate h.
\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)
The value of h is 2.
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Write a two column proof (Given: x is the midpoint of WY and VZ) (Prove: VW=ZY)
Answers
Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.
To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.
By simplifying the equation, we can see that the equation becomes:
6x - 5x = 17 - 2
Simplifying further, we have:
x = 15
Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.
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A coral reef grows 0.14 m every week. How much does it grow in 13 weeks?
Answers
Answer: 1.82 m
Step-by-step explanation:
Ratios
0.14 n 0.14 x 13 = 1.82
1. 13 1.82/1 = 1.82
A company is painting the exterior walls of a warehouse. find the lateral surface are of the walls in square feet if the walls are 100 ft., 200 ft, and 30 ft
Answers
The lateral surface area of the walls of the warehouse is 18,000 sq ft.
Area is a measure of the size of a surface or the amount of space that a two-dimensional shape occupies. It is typically measured in square units, such as square feet or square meters. The area of a shape is calculated by multiplying the length and width of the shape together.
To find the lateral surface area of the walls of the warehouse, you need to find the combined area of all the exterior walls. To do this, you can use the formula for lateral surface area, which is:
Lateral Surface Area = 2 * (l * h + w * h)
where l is the length of the wall, w is the width of the wall, and h is the height of the wall.
Using this formula, we can find the lateral surface area of each wall and add them together to get the total lateral surface area:
Wall 1: Lateral Surface Area = 2 * (100 ft * 30 ft) = 6,000 sq ft
Wall 2: Lateral Surface Area = 2 * (200 ft * 30 ft) = 12,000 sq ft
Total Lateral Surface Area = 6,000 sq ft + 12,000 sq ft = 18,000 sq ft
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For numbers 3, 4, and 5, find the value of the indicated length(s) in ⨀C. A and B are points of tangency. Simplify all radicals.
I just need help with these three problems!
Answers
As a result, AB = 52 and AC = BC = 5 as AC and BC are both the circle's radii since A and B are points of tangency .
what is circle ?A circle is a closed object made up of all points in a plane that are separated from the center by a predetermined distance, known as the radius. The diameter is the distance across the circle that passes through its center, while the circumference is the distance around the circle. The ratio of a circle's circumference to its diameter is always pi (), or roughly 3.14. Pi is also known as the proportionality constant. Circles are significant geometric forms that are used frequently in mathematics, science, and daily life.
given
AC and BC are both the circle's radii since A and B are points of tangency. Hence, AC = BC = 5.
We can apply the Pythagorean theorem to segment AB as follows:
\(AB^2 = 52 + 52 \\AB^2 = AC^2 + BC^2\)
AB² = 50
AB = √50 = 5√2
As a result, AB = 52 and AC = BC = 5 as AC and BC are both the circle's radii since A and B are points of tangency .
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Find a.
Round to the nearest tenth:
10 cm
150°
120
a = [? ]cm
![Find a.Round to the nearest tenth:10 cm150120a = [? ]cm](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/OQtVN6JvwbI0nkSo24LUhpVyAfyFzMBS.png)
Answers
Answer:
Step-by-step explanation:
sin(12°)/10 = sin(150°)/a
a = sin(150°) × 10/sin(12°) = 24 cm
Answer:
24
Step-by-step explanation:
x + 4y = 4 2x + 4y = 8x=4y=-2
Answers
x + 4y = 4
2x + 4y = 8
x=4
y=-2
we know that
If a ordered pair is a solution of a equation, then the ordered pair must satisfy the equation
we have the ordered pair (4,-2)
Verify if the ordered pair is a solution of the given equations
Equation 1
x+4y=4
substitute the value of x and the value of y in the given equation
(4)+4(-2)=4
4-8=4
-4=4 ------> is not true
the ordered pair is not a solution of the equation
Equation 2
2x + 4y = 8
substitute the value of x and the value of y in the given equation
2(4)+4(-2)=8
8-8=8
0=8 -----> is not true
the ordered pair is not a solution of the equation
What is the
The probability that a woman will make a bulls-eye on a shooting target is given by
2/721
probability that she will not hit the bulls-eye?
Answers
Answer:
719/721
Step-by-step explanation:
Subtract 2 from 721
Find the slope of the line described by the table.
M =
Answers
The slope of the line describes by the table is 0.1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The table represents Bike ride, where x represents the number of minutes in 'x' and y represents the number of kilometers.
We know, slope(m) = (y₂ - y₁)/(x₂ - x₁).
Slope(m) = (1.0 - 0.5)/(10 - 5).
Slope(m) = 0.5/5.
Slope(m) = 0.1
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3. 64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row, how many chairs could have been in each row? Explain your thinking
Answers
If the number of the seats are vacant is 8. Then the number of chairs in a row will be 8.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row. Then the number of the chair in a row will be
Let the number of the row be x. Then we have
\(\rm \dfrac{64}{x} = 8\\\\\\x \ \ = 8\)
Then the number of the row is 8.
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A total of 525 records of a hospital were reviewed and 175 of the patients had a heart problem, 150 a respiratory problem, 125 some type of trauma and 75 had other issues. Find the following.
a. P(some type of trauma)
b. P(a heart or respiratory problem)
c. P(did not have a heart problem)
Answers
Answer:
a
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!
Answers
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
We want to fill a basin 3m wide, 5m long and 1m deep using atap with a flow rate of 2m^3 / h.1 °) How long does it take to fill the basin?2 °) Express the flow rate of the tap in L / min. We will round to the hundredth.
Answers
Part 1
First we have to find the volume of the basin. We must multiply the dimensions to do so.
V= (3)(5)(1) m^3
V= 15 m^3
If the tap has a flow of 2 m^3 per hour it means that it would take 7.5 hours to fill the basin. ( Dividing 15 m^3 by 2 m^3/h)
The answer of the first part is 7.5 hours.
Part 2
To express the flow rate in L/min we would have to multiply 2m^3 by 1000 ( Since 1000 L= 1 m^3) and then divide the result by 60 minutes ( Since 1 hour has 60 minutes). Doing so, we have:
\(2\frac{m^3}{h}\cdot\frac{1000\text{ L}}{1m^3}\cdot\frac{1h}{60\text{ min}}=33.33\text{ L/min}\)The answer of part 2 is 33.33 L/min (Rounding to the hundredth).
labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
Answers
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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the ratio of john collection of baseball cards to billy's collection is 8:5. if John has 100 cards, how many does billy have?
Answers
Let x be the number of cards Billy have
8 : 5 = 100 : x
\(\frac{8}{5}=\frac{100}{x}\)cross-multiply
8x = 500
Divide both-side of the equation by 8
x= 62.5
x ≈ 63