Answer:
3x-4=107* why vertical angles
Step-by-step explanation:
3x-4=107
add 4 on both sides
3x=111*
x=37
Answer:
x = 37°
The other two angles equals 73°. both of them are 73°
Step-by-step explanation:
107°+ 4° = 111
3x = 111°
x = 37°
360 - 214 = 146°
146 / 2 - 73°
A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half
Answer:
1/3!
Step-by-step explanation:
Good Luck On Whatever You Needed This For!
The probability of drawing a green marble out of the bag without looking is 1/3.
Given that, a bag contains 1 blue, 2 green, and 3 red marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes =1+2+3 =6
Number of favorable outcomes = 2
Now, probability of drawing green marble
= 2/6
= 1/3
Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.
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Given g(x)=−23(x−4)2+3, g ( x ) = − 2 3 ( x − 4 ) 2 + 3 , what is the value of g(–5)? *Type in your answer. g(–5) =
The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.
What is the output value of g(-5) in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
g( x ) = −23( x - 4 )2 + 3g( -5 ) = ?To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.
g( x ) = −23( x - 4 )2 + 3
g( -5 ) = −23( -5 - 4 )2 + 3
g( -5 ) = −23( -9 )2 + 3
g( -5 ) = −23( -9 × 2) + 3
g( -5 ) = −23( -18) + 3
g( -5 ) = ( -23 × -18) + 3
g( -5 ) = ( 414 ) + 3
g( -5 ) = 414 + 3
g( -5 ) = 417
Therefore, the output value of g( -5 ) is 417.
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help plz and thx for your help
9514 1404 393
Answer:
Dawn has $1670 in account 1 and $1570 in account 2.
Step-by-step explanation:
Dawn can multiply the second equation by 8 and add 7 times the first equation.
8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)
10A = 16,700
A = 1670
B = 1570 . . . . 100 less than A
Dawn has $1670 in account 1 and $1570 in account 2.
__
Check
3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000
Calculate the volume of the figure. Use 3.14 for π
Is the point (3, 4) a solution to the linear equation 5x - 9y = 32?
Answer:
it equals -21 so no
Step-by-step explanation:
happy valentines!
Answer:
No, It does not.
Step-by-step explanation:
(3,4) means (x,y). When you insert 3 to x and 4 to y, You get this:
5(3)-9(4)=32
If you multiply 5 and 3, You get 15.
15-9(4)=32
If you multiply 9 and 4, you get 36.
15-36=32
If you subtract 15-36, you get -21.
This is why the answer is no because -21 does not equal 32
-21 ≠ 32
Hope this helps! :)
How many combinations of 3 playing cards (from a 52-card deck) exist?
Answer:
22,100
Step-by-step explanation:
pls trust me i just took the test
The number of combination of 3 playing cards from 52 card deck is 22100.
What is Combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
Here, total cards = 52
cards to be selected = 3
So, total possible combination = ⁵²C₃
= (52 X 51 X 50) / (3 X 2 X 1)
= 22100
Thus, the number of combination of 3 playing cards from 52 card deck is 22100.
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1. A company produces 3 products P, Q and R. It uses 3 resources R1, R2 and R3. The profit per unit for P,Q, R is Rs.30, Rs.40 and Rs.20 respectively. Capacity of resources R1, R2
and R3 is 10,000, 8,000 and 1,000 unit respectively. Following simplex solution is obtained. Based on this solution, answer the questions given below with justification.
Cj
C X b
30 X1 250 40 X2 625 0 S3 125 Zj
30 40 20 0 0 0 X1 X2 X3 S1 S2 S3 1 0 -13/8 5/8 -3/4 0 0 1 31/16 -7/16 5/8 0 0 0 11/16 -3/16 1/8 1 30 40 115/4 5/4 5/2 0 0 0 -35/4 -5/4 -5/2 0
represent slack variables of resources
∆=Cj -Zj
X1, X2, X3 represent products P, Q, R, S1, S2, S3
R1, R2, R3.
2.
Is this optimal solution? Is there alternate optimal solution? Is the solution feasible? Is the solution degenerate? What is the optimal product mix and optimal profit?
Yes, this is an optimal solution for the given problem. There is no alternate optimal solution, as there is only one variable having non-zero value in the last row of the table and this is for the objective function (Z) and all other variables have zero values in the last row of the table.
The solution is feasible as all variables have non-negative values. Also, the solution is not degenerate since all the variables have non-zero values. The optimal product mix and optimal profit are:X1 = 250,
X2 = 625,
X3 = 0
Optimal profit = Rs. (30 × 250 + 40 × 625 + 20 × 0)
= Rs. 40,000
Variable X3 has zero values in the final row of the simplex table, which indicates that it is non-basic and does not contribute to the optimal profit. Therefore, the optimal product mix is:X1 = 250,
X2 = 625,
X3 = 0
The optimal profit is calculated as follows: Optimal profit = (30 × 250) + (40 × 625) + (20 × 0) = Rs. 40,000
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Question 4
20 pts
You invest $3000 into an account that has a 3.7% annual
interest rate and is compounded monthly. How long will it
take until you have doubled your money?
a.38.56 years
b.1.6 years
c.18.76 yigars
d.231.29 years
read the picture plsssssssssss
Let's work with the system
x+y=0
y = 2x + 6
graph y = 2x + 6?
The solution of the system of equation is (-2 ,2).
What is a System of Equation ?A system of equation is defined as the equation that have a common solution.
The system of equation is
x+y = 0
y = 2x+6
2x-y = -6
3x = -6
x = -2
y = 2
The graph of both the equations are plotted and the common point is the solution of the equations.
The solution of the system of equation is (-2 ,2).
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DETAILS PREVIOUS ANSWERS SESSCALC2 7.2.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8x, y = 8VX; about y = 8 V =
The volume of the solid obtained by rotating the region bounded by the curves y = 8x and y = 8√x about the line y = 8 is 16π/3 cubic units.
The volume of the solid obtained by rotating the region bounded by the curves y = 8x and y = 8√x about the line y = 8 is calculated using the method of cylindrical shells.
To find the volume V of the solid, we can use the method of cylindrical shells. This involves integrating the circumference of each cylindrical shell multiplied by its height over the region bounded by the curves.
First, let's find the intersection points of the curves y = 8x and y = 8√x. Setting the equations equal to each other, we get 8x = 8√x. Solving for x, we find x = 1.
Squaring both sides, we obtain y^2 = 8, so y = ±√8 = ±2√2.
Next, we set up the integral. Since we are rotating about the line y = 8, the radius of each cylindrical shell is given by r = 8 - y.
The height of each shell is dx, as we are integrating with respect to x. The limits of integration are from x = 0 to x = 1.
Thus, the integral for the volume V becomes ∫[0 to 1] 2π(8 - 8√x) dx. Evaluating this integral, we find V = 16π/3.
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Convert 5.06 km to meters.
There are 1000 m in one km, so
5.06 km • 1000m/km = 5060 m
Answer these please!!!
The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.
What is linear inequality?
A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.
We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.
The dotted graphs are drawn for the inequalities having < or >
Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.
Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not
1. 3x-2y≤6
⇒ 0≤6
So, the equation is true for the point.
Hence, the third graph represents this equation.
2. 3x-2y<6
⇒ 0<6
So, the equation is true for the point.
Hence, the first graph represents this equation.
3. 3x-2y>6
⇒ 0>6
So, the equation is false for the point.
Hence, the fourth graph represents this equation.
4. 3x-2y≥6
⇒ 0≥6
So, the equation is false for the point.
Hence, the second graph represents this equation.
Hence, the graphs are matched with the inequalities.
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Since, there are multiple questions so, the question answered above is attached below.
how many solutions? -3(v + 4) = 2v - 37
-3(v+4) = 2v-37
-3v-12 = 2v-37
-3v-2v = -37+12
-5v = -25
v = -25/-5
v = +5
Answer:
One solution.
v = 5
Step-by-step explanation:
- 3(v + 4) = 2v - 37
- 3v - 12 = 2v - 37
- 3v - 12 + 12 = 2v - 37 + 12
- 3v = 2v - 25
- 3v - 2v = 2v - 2v - 25
- 5v = - 25
- 5v ÷ - 5 = - 25 ÷ - 5
v = 5
the minimum of two independent exponential random variables is also exponential. true or false? why?
False. The minimum of two independent exponential random variables is not necessarily exponential.
For two independent exponential random variables X and Y, with rate parameters λ1 and λ2 respectively, the minimum of X and Y is a random variable Z with the cumulative distribution function (CDF) given by
\(F_Z(z) = 1 - e^(-(λ1+λ2)z)\).
The survival function of Z is given by
\(S_Z(z) = e^(-(λ1+λ2)z)\).
Therefore, the probability density function of Z is
\(f_Z(z) = (λ1 + λ2)e^(-(λ1+λ2)z)\).
This is not an exponential distribution because the form of the probability density function is not of the form \(f(z) = λe^(-λz)\).
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1 PROBLEM *BRAINLIEST* FOR CORRECT ANSWER
this is graphing quadratic equations. use an x/y chart to graph with 5+ points on it.
problem: y = x^2 + 4x + 6
there's an image with the problem as well as the graph if that helps you. i know how to graph, i really just need those five points (if yk what you're doing, this should make sense)
THANK YOU!!!!
To graph y = x² + 4x + 6 with 5+ points using an x/y chart, follow these steps:
Step 1: Create an x/y chart with five rows and two columns. Label the first column x and the second column y.
Step 2: Choose five values for x. You can choose any values you want as long as you plug them into the equation in the next step. In this example, we will use -3, -2, -1, 0, and 1. Write these values in the first column of your chart.
Step 3: Plug each value of x into the equation y = x² + 4x + 6 to find the corresponding value of y. Write these values in the second column of your chart. To make it simpler, here are the calculations for each point:When x = -3: y = (-3)² + 4(-3) + 6 = 3When x = -2: y = (-2)² + 4(-2) + 6 = 2When x = -1: y = (-1)² + 4(-1) + 6 = 1When x = 0: y = (0)² + 4(0) + 6 = 6When x = 1: y = (1)² + 4(1) + 6 = 11
Step 4: Plot each point on the x/y chart. The x value goes on the horizontal axis (x-axis) and the y value goes on the vertical axis (y-axis). Once you have plotted all five points, connect them with a smooth curve to create the graph of y = x² + 4x + 6. The graph is shown in the figure below.
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There is 6/8 of a cake leftover after a birthday party. How many 1/4 pieces can be made from the leftover cake?
Answer:
You can have 2, 1/4 pieces. The answer is 2.
Step-by-step explanation:
a pizza parlor offers a choice of 14 different toppings. how many 5-topping pizzas are possible? (no double-orders of toppings are allowed)
There are 2,300 possible 5-topping pizzas that can be made with 14 different toppings and no double-orders of toppings allowed.
If the pizza parlor offers 14 different toppings and no double-orders of toppings are allowed, the number of 5-topping pizzas possible can be calculated using the combination formula:
nCr = n! / (r! × (n-r)!)
where n is the total number of items to choose from (14 toppings in this case) and r is the number of items to be selected (5 toppings for a pizza).
Therefore, the number of 5-topping pizzas possible can be calculated as:
14C5 = 14! / (5! × (14-5)!)
= (14 × 13 × 12 × 11 × 10) / (5 × 4 × 3 × 2 × 1)
= 2002
Therefore, there are 2002 possible 5-topping pizzas that can be ordered from the pizza parlor.
To calculate the number of 5-topping pizzas possible when there are 14 different toppings available and no double-orders of toppings are allowed, we can use the formula for combinations, which is:
n C r = n! / (r! × (n-r)!)
where n is the total number of items, r is the number of items being selected, and ! denotes the factorial operation.
In this case, we have:
n = 14 (the total number of toppings)
r = 5 (the number of toppings being selected)
Plugging these values into the formula, we get:
14 C 5 = 14! / (5! × (14-5)!)
= (14 × 13 × 12 × 11 × 10) / (5 × 4 × 3 × 2 × 1)
= 2,300
To calculate the number of possible 5-topping pizzas, we need to use the combination formula since the order of the toppings doesn't matter. The formula is:
n C r = n! / (r! × (n-r)!)
where n is the total number of items to choose from, r is the number of items to choose, and "!" denotes the factorial function (i.e., the product of all positive integers up to that number).
In this case, n = 14 (the total number of toppings) and r = 5 (the number of toppings to choose).
So, the number of possible 5-topping pizzas is:
14 C 5 = 14! / (5! × (14-5)!)
= (14 × 13 × 12 × 11 × 10) / (5 × 4 × 3 × 2 × 1)
= 2,002,200
Therefore, there are 2,300 possible 5-topping pizzas that can be made with 14 different toppings and no double-orders of toppings allowed.
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PLEASE HELP MEEEEE!!!!!
Answer:
The mass of 10mL of this liquid would be 25g.
Step-by-step explanation:
The formula for mass in relation to density and volume is:
mass=Density*volume
Knowing this, we could plug in the given volumes and solve:
m=Dv
m=(2.5g/mL)*(10mL)
m=25g
I hope this helps!
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.a force of 6 pounds is required to hold a spring stretched 0.5 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?
In order to lengthen the spring from its natural length to 0.9 feet beyond it, 4.608 feet-pounds of labor must be done.
Given data;
A force of 6 pounds is required to hold a spring stretched 0.5 feet beyond its natural length.
The force required = force in spring
6 = 0.5 * k
Where k is spring constant.
∴ k = 6/0.5 = 12 pound/feet
Energy stored in the spring = (k * 2) / 2, if the spring is stretched by a distance 'x'
Conserving energy, we get energy stored in the spring = work done in stretching the spring
∴Work done = 0.6 * (12) * (0.9)²
= 4.608 feet-pound
Hence, 4.608 feet-pound work is done in stretching the spring from its natural length to 0.9 feet beyond its natural length.
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4 (3x + 2)-6
I neeeed help
Answer:
12x - 2
Step-by-step explanation:
Step 1: Write expression
4(3x + 2) - 6
Step 2: Distribute 4
12x + 8 - 6
Step 3: Combine like terms
12x - 2
Use the unit circle to find the inverse function value in degrees.
sin–1Question 3
A. 60°
B. 240°
C. 30°
D. 300°
SOMEONE PLEASE HELP!!!
The inverse function value in degrees will be 45°. Option C is correct.
What is a function's inverse?Assuming function 'f' is a one-to-one and onto function which is a need for inverses to exist. The inverse of the considered function is. f⁻¹(x).
The given function is;
f(x)=sin⁻¹(1/2)
The given function is arranged is;
x=sin⁻¹(1/2)
The given function in terms of sin;
sinx=1/2
Putting the values in terms of sin we get;
sinx=sin30°
x=30°
The inverse function value in degrees will be 45°.
Hence,option C is correct.
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Can someone write me a paragraph proof for this problem
Answer:
Step-by-step explanation:
ur mother
A bus took a 12-hour trip and traveled 700 miles. The speed was 75 mph for the first part of the trip, and then decreased to 50 mph for the second part of the trip. How many hours were traveled at each speed?
_____ hours at 75 mph
_____ hours at 50 mph
13. Joe's job pays him $550 per week. Express his annual salary using the 'K' notation.
Answer:
52k
Step-by-step explanation:
If a week =k
Year=52 weeks
52 times k equals 52 k
Im having a d ^ mb moment whats 2 and a half hours minus 30 minutes?
Answer:
2 hours.
Step-by-step explanation:
2 and a half hours is 2.5 hours.
30 minutes is 0.5 hours.
2.5 - 0.5 = 2 hours.
Answer:
2 hours (I know I'm late but I like to answer things TvT)
Step-by-step explanation:
2 hours can be converted into 120 minutes (60 mins in an hour, 60 x 2 = 120)
120 minutes plus the half hour (30 mins) equals 150 minutes.
150 minutes minus 30 minutes equals 120 minutes, so 2 hours is your answer.
what is the distribution of the random variable the sample mean of a simple random sample of size 15 drawn from the population described above?
The population and may need to be approximated using other methods such as t-distribution or bootstrapping.
What is frequency distribution?Population is a group of individuals of the same species living in the same area at the same time. It is a term used in biology, sociology and other fields of study.
Without knowing the specific characteristics of the population, it is difficult to determine the exact distribution of the sample mean of a simple random sample of size 15 drawn from that population.
However, if the population is approximately normally distributed or if the sample size is large enough (usually considered to be n > 30), the sample mean will follow a normal distribution. This is known as the Central Limit Theorem.
Hence, If the population is not normally distributed and the sample size is small, the distribution of the sample mean will depend on the specific characteristics of the population and may need to be approximated using other methods such as the t-distribution or bootstrapping.
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reflection across the y-axis
N(-3, 1), G(0, 4), B(-1, 1)
The required reflection of the points N(-3, 1), G(0, 4), B(-1, 1) across the y-axis are N(3, 1), G(0, 4), B(1, 1) .
Explain reflection across y-axis.Point (x, y) is reflected across the x-axis as (x, -y). The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.
According to question:We have,
N(-3, 1), G(0, 4), B(-1, 1)
While, find reflected points we are considering y-axis as mirror,
Then,
Reflection of point N(-3, 1) across the y-axis
⇒ N(3, 1)
Reflection of point G(0, 4) across the y-axis
⇒ G(0, 4)
Reflection of point B(-1, 1) across the y-axis
⇒ B(1, 1)
Thus, required reflected points are N(3, 1), G(0, 4), B(1, 1) .
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Use the given graph to determine the limit, if it exists
Find lim x ---> 2^- f(x) and lim x ---> 2^+ f(x) 2
Answer:
2
Step-by-step explanation:
lim x ---> 2^- f(x) = 2
lim x ---> 2^+ f(x) = 2