Translating 5 units right and 8 units down means you add 5 to the x coordinate and subtract 8 from the y coordinate.
\(W(-10,8) \longrightarrow W'(-5, 0) \\ \\ X(-2, -1) \longrightarrow X'(3, -9) \\ \\ Y(0,0) \longrightarrow Y'(5,-8) \\ \\ Z(3,7) \longrightarrow Z'(8, -1)\)
Can someone explain how to do this? Will mark as brainliest
Answer: x is the angle of the tricundicular angle of the imperfect triangle. It’s like area but it’s an imperfect triangle, there’s is also 2 different numbers that u should get from this
Step-by-step explanation: pls mark brainliest
What is 2x + 5 + x − 6 + 3x =?
In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find
the probability that she did not hit a boundary.
Answer: She has not hit the boundary 4/5 of the time.
Step-by-step explanation: 6/30 is 1/5. Subtract 1 - 1/5.
Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72.
Work out the value of Dylan's initial investment.
two years at 3% = .03*2 = .06
so
.06 times original deposit = 72
so 72/.06
which is
1200
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (2xy2 − 5) dx + (2x2y + 7) dy = 0
A differential equation (2xy² − 5) dx + (2x²y + 7) dy = 0 is an exact differential equation
We know that a differential equation M dx + N dy = 0 is an exact differential equation when \(\partial N/\partial x=\partial M/\partial y\)
Consider a differential equation (2xy² − 5) dx + (2x²y + 7) dy = 0
Comparing this equation with M dx + N dy = 0 we get,
M = (2xy² − 5)
and N = (2x²y + 7)
The partial derivative of M with respect to y is:
\(\frac{\partial M}{\partial y} \\\\=\frac{\partial}{\partial y}(2xy^2 -5)\)
= 4xy ...........(1)
The partial derivative of N with respect to x is:
\(\frac{\partial N}{\partial x} \\\\=\frac{\partial}{\partial x}(2x^2y+7)\)
= 4xy ...........(2)
From (1) and (2),
\(\partial N/\partial x=\partial M/\partial y\)
Therefore, the differential equation is an exact differential equation
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utiliza la formula De la distancia para calcular la medida De Los segmentos M(2,2) yN(5,-1)MN
Answer:
\( \huge{ \boxed{ \sf{ \sqrt{18} \: units}}}\)
Step-by-step explanation:
\( \star{ \sf{ \:Sea \: M (2, 2) \: (x1, y 1) \: y \: N (5, -1) \: sea \: (x2, y2).}}\)
\( \star{ \sf{ \: Usando \: la \: fórmula \: de \: la \: distancia}} : \)
\( \boxed{ \sf{distancia = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)
\( \mapsto{ \sf{distancia \: = \: \sqrt{ {(5 - 2)}^{2} + {( - 1 - 2)}^{2} } }}\)
\( \mapsto{ \sf{distancia = \sqrt{ {(3)}^{2} + {( - 3)}^{2} } }}\)
\( \mapsto{ \sf{distancia \: = \sqrt{9 + 9}}} \)
\( \mapsto{ \sf{distancia = \sqrt{18} \: units}}\)
\( \sf{¡Espero \: haber \: ayudado!}
\)
\( \sf{¡Atentamente!}\)
~\( \text{TheAnimeGirl}\)
What is the constant of 4y+2+x
2 is the constant in the expression 4y+2+x
The given expression is 4y+2+x
four times of y plus two plus x
x and y are the variables in the expression
We have to find the constant in the expression
The constant in the expression is the term which doesnot have any variable.
2 is the constant.
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For a certain organism, the interphase
stage of the cell cycle takes 42 hours. If
the length of the cell cycle is 44 hours,
what percentage of the cycle is taken
up by interphase?
Answer:
hhahhahajjahajajajajajjanaja
please help with my math
Answer:
B.) \(6^{\frac{1}{2}}\)
Step-by-step explanation:
Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\). For this problem, let
a=6
m=2
So,
\(\sqrt6=6^{\frac{1}{2}}\)
18.
If a - b = 12 and b/2 = 10, what is the value
of a +b ?
A) 2
B) 12
C) 32
D) 52
state how many significant figures 0.03810 has?
Answer:
4
Step-by-step explanation:
the figures are
0,0,3,8,1,0
we repeat 0
so we have 4 figures,
0,3,8,1
I need help please asap
Answer:
(2, 7)
Step-by-step explanation:
you just look at the point where the two lines intersect.
Hannah borrows $999 from her parents to buy a phone. She will repay $225 to start, and then another $43 per week.
A. Write an equation that can be used to determine w, the number of weeks it will take for Hannah to repay the entire amount.
B. What number of weeks will it take Hannah to repay the entire amount?
A. The equation that can be used to determine the number of weeks is $999=225+42w
B. The number of weeks it will take Hannah to repay is 18weeks
What is linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3 = 0 has only one solution as x = -2.
the total amount of money Hannah repaid is $225+$43×w, where w is the number of weeks to repay $43.
therefore $999= $225+$43w
$43w=$ (999+225)
$43w= $1224
divide both side by $43
w= $1224/$43
w= 18 weeks
therefore it will take Hannah 18weeks to repay the money.
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An experiment consists of starting a stopwatch at the beginning of a run and stopping it at the end. The random variable in this experiment is the time lapsed during the run. This random variable is a
discrete random variable
None of these answers is correct.
continuous random variable
complex random variable
The correct answer is: None of these answers is correct.The random variable representing the time lapsed during the run in this experiment is a continuous random variable.
I apologize for the previous incorrect answer. The random variable representing the time lapsed during the run in the given experiment is a continuous random variable. A continuous random variable can take on any value within a specified range or interval. In this case, the time elapsed during the run can theoretically be any non-negative real number, allowing for an infinite number of possible outcomes. It is not restricted to specific discrete values or intervals. Examples of continuous random variables include time, length, weight, and temperature.
Continuous random variables are characterized by their probability density function (PDF), which describes the likelihood of observing different values. In contrast, a discrete random variable would have a finite or countable set of possible values, such as the number of heads obtained in a series of coin flips.
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solve
\( {49}^{x} = {7}^{3} \)
please help
Answer:
hey answer is above
god bless you
Answer:
\(\displaystyle 1\frac{1}{2} = x\)
Step-by-step explanation:
\(\displaystyle 7^3 = 49^x → 7^3 = 7^{2x} ⇉ 3 = 2x \\ \\ 1\frac{1}{2} = x\)
I am joyous to assist you at any time.
Leah is solving the equation below using the properties of exponents.
2^2x-3 = (1/16)^3x+9
Here is Leah's work: (see attached picture)
Which line has Leah's mistake? What is Leah's mistake?
Answer:
Lea messed up on line one when you flip a fraction the exponents become negative hers haven't changed
Step-by-step explanation:
Alfred begins collecting model cars. He buys 3 new model cars every week. Is the number of cars he owns proportional to the number of weeks that have passed since he started his collection?
Answer:yes
Step-by-step explanation:
for every week he gets 3 cars so it can only incre ment by 3. (1,3) (2,6) (3,9) and so on.
How many and what type of solutions does the function represented by the graph have?
Answer:
Only one solution (x = 0)
Step-by-step explanation:
From the graph attached,
Parabola in the graph touches the origin.
It doesn't intersect the x-axis.
Therefore, There will be only one root or solution of the given function,
x = 0
Need an answer in less than 5 minutes pls!
Find the length of the hypotenuse. Round your answer to the nearest tenth.
A.) 89 units
B.) 13 units
C.) 3.6 units
D.) 9.4 units
Answer:
9.4
Step-by-step explanation:
a2+b2=c2
8^2 + 5^2 = c2
64 + 25 = 89
square root of 89 = 9.4
QUESTION 1 1 POINT Solve the following system of equations. Give your answer as an ordered triple (x, y, z). 3x+3y-6z -4x + y + 3z -2x+y+2z = 9 = 8 = 2
The solution to the system of equations is (x, y, z) = (11/8, 39/8, 1).
How to ffind the solution to the system of equationsTo solve the system of equations:
3x + 3y - 6z = 9 ...(1)
-4x + y + 3z = 8 ...(2)
-2x + y + 2z = 2 ...(3)
Using method of elimination method to solve the equations
Multiplying equation (1) by 2, equation (2) by 3, and equation (3) by -3, we have:
6x + 6y - 12z = 18 ...(4)
-12x + 3y + 9z = 24 ...(5)
6x - 3y - 6z = -6 ...(6)
Adding equation (4) and equation (6), the x and y terms cancel out:
12z = 12
z = 1
Substituting z = 1 into equation (4), we get:
6x + 6y - 12(1) = 18
6x + 6y - 12 = 18
6x + 6y = 30
x + y = 5 ...(7)
Substituting z = 1 into equation (5), we get:
-12x + 3y + 9(1) = 24
-12x + 3y + 9 = 24
-12x + 3y = 15
-4x + y = 5 ...(8)
Multiplying equation (7) by 4, we have:
4x + 4y = 20 ...(9)
Subtracting equation (8) from equation (9), we get:
4x + 4y - (-4x + y) = 20 - 5
8x + 3y = 15
Multiplying equation (8) by 8, we have:
-32x + 8y = 40 ...(10)
Adding equation (10) and equation (9), the y term cancels out:
8x + 3y - (-32x + 8y) = 15 + 40
40x = 55
x = 55/40
x = 11/8
Substituting x = 11/8 into equation (7), we get:
11/8 + y = 5
y = 5 - 11/8
y = 39/8
Therefore, the solution to the system of equations is (x, y, z) = (11/8, 39/8, 1).
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A flock of ducks is growing by 6% per year and starts with a population of 68. Write an exponential
equation to model this situation.
How many ducks will be in the flock after 10 years
If a flock of ducks is growing by 6% per year and starts with a population of 68, after ten years, the flock of ducks will have 121 ducks.
To determine the number of the flock of ducks after ten years, we must compute the compound growth over ten years. Here's how it works:
number of years = initial population * (1 + growth rate)number of years
putting in the values, we get
initial population = 68
initial population = 68
10 years = number of years
final population = 68 * (1 + 0.06)¹⁰
The calculation 68 * (1 + 0.06)¹⁰ computes the value of 68 multiplied by a 6% interest rate over ten years.
To solve this formula, first compute (1 + 0.06)¹⁰, which equals 1.7958067. We then multiply this result by 68 to get the final value:
68 * (1 + 0.06)¹⁰ = 68 * 1.7958067 = 121.4175656
The final solution is 121, rounded up to the nearest whole number.
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help pls!
awzesxdrctfgvbhjnk
What are you talking about? Please specific!
Solve the inequality
-2x+5>3 or x-5 ≥ -1
Answer:
x>1 or x≥4
Step-by-step explanation:
-2x+5>3 or x-5≥-1
-2x>3-5 or x≥-1+5
-2x>-2 or x≥4
-2x/-2>-2/-2 or x≥4
x>1 or x≥4
What is x in this equation? -2x - 4 + 5x =8
How do you know if triangles are congruent in SAS?
With the help of the figure we can say that triangles are congruent by SAS Rule
What is Congruence of Triangle?
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
Solution:
By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.
In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.
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Work out the circumference of the circle with radius 2.5 cm
Circumference = 2πr
~plug 2.5 centimeters in for r
C = (2)(π)(2.5 cm).
C = 5π cm
55. Urn A contains two red balls and three white balls. Urn B con tains five red balls and one blue ball. ball is chosen at random A from Urn A and placed into Urn B. Then a ball is chosen at random from Urn B. a. What is the probability that both balls are red? b. What is the probability that the second ball is red? c. Given that the second ball is red, what is the probability that the first ball was red?
a. The probability of selecting a red ball from Urn A and then the probability of selecting a red ball from Urn B after one red ball has been transferred. b. The probability of selecting a red ball from Urn B, taking into account the transfer of one ball from Urn A. c. The probability that the first ball was red can be calculated using conditional probability.
a. To calculate the probability that both balls chosen are red, we multiply the probability of selecting a red ball from Urn A (2 out of 5) by the probability of selecting a red ball from Urn B (6 out of 7, since one red ball was added). So the probability is (2/5) * (6/7) = 12/35.
b. To calculate the probability that the second ball chosen is red, we consider that there are now a total of 6 red balls and 7 balls in Urn B. Therefore, the probability is 6/7.
c. To find the probability that the first ball was red given that the second ball is red, we use conditional probability. The probability that both balls are red (12/35) divided by the probability that the second ball is red (6/7) gives us (12/35) / (6/7) = 4/5. Therefore, the probability that the first ball was red given that the second ball is red is 4/5.
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What percent of $15 is $9?
PLEASE HELPPP :((
60 percent of $15 is $9.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let x be the unknown percent.
Here, x% of 15 =9
⇒ x/100 ×15=9
⇒ 15x=900
⇒ x=900/15
⇒ x=60%
Therefore, 60 percent of $15 is $9.
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Find the general solution of the given differential equation.
(x + 1) dy/dx + (x + 2)y = 2xe^-x
y=
The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
How to solve the given differential equation (DE)?To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:
1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).
So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)
2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:
d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)
3. Integrate both sides of the previous equation with respect to x to obtain:
e^(x^2/2 + 2x) y = - e^(-xy) + C
where C is the constant of integration.
4. Solve for y by dividing both sides by the integrating factor:
y = [- e^(-xy) + C] e^(-x^2/2 - 2x)
This is the general solution of the given DE.
Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
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Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit? Hint: Let x denote the number of high-grade shoes. Let y denote the number of low-grade shoes.
but can you make it clear more please
The total number of pairs of shoes produced should be 500 (the maximum possible production). The profit per day should be maximized, so we need to solve the following system of equations:
2x + 1y ≥ 100 (the number of high-grade shoes should be at least 100)
x + y = 500 (the total number of pairs of shoes produced should be 500)
Solving for x and y, we get:
x = 400 (high-grade shoes)
y = 100 (low-grade shoes)
Therefore, the factory should produce 400 pairs of high-grade shoes and 100 pairs of low-grade shoes for maximum profit.
How to optimize a factory’s production process to maximize profit?To optimize a factory's production process to maximize profit, the factory should focus on increasing efficiency and reducing costs. This can be done by streamlining processes, automating tasks, and utilizing data-driven decision making. Additionally, the factory should focus on reducing waste, lowering overhead costs, and developing cost-saving strategies. Finally, the factory should focus on finding new markets and expanding its customer base to increase revenue.
How to calculate the break-even point for a factory?The break-even point for a factory is the point where total revenue equals total costs. This can be calculated by subtracting the total variable costs (costs that change with production, such as raw materials and labor) from the total fixed costs (costs that are not affected by production, such as rent, insurance, and equipment). The difference is the break-even point, which is the total revenue needed to cover all costs and generate a profit.
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