Answer:
The slope of this parallel line is 3.
Step-by-step explanation:
Parallel lines have the same slope. The given line y = 3x - 2 has the slope 3. Therefore the desired parallel line also has the slope 3. This is all that is necessary to answer this question.
The slope of this parallel line is 3.
Which is the equation in the slope-intercept form of the line that contains points E & F ?
•4x-y=12
•y-4=4(x-4)
•x-4=4(y-4)
•y=4x-12
Answer:
y = 4x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m = \(\frac{-4-4}{2-4}\) = \(\frac{-8}{-2}\) = 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line
Answer:
y = -4x + 17
Step-by-step explanation:
Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.
What is the long Division rhyme to help you solve?
Answer:
The steps are more or less the same, except for one new addition:
1. Divide the tens column dividend by the divisor.
2. Multiply the divisor by the quotient in the tens place column.
3. Subtract the product from the divisor.
4. Bring down the dividend in the one's column and repeat it.
Step-by-step explanation:
How do you fine the answer ? Help me pls
Answer:
130
Step-by-step explanation:
A random variable follows a binomial distribution with a probability
of success equal to 0.66. For a sample size of n = 6, find the
values below.
a. the probability of exactly 4 successes
b. the probability of 5 or more successes
c. the probability of exactly 6 successes
d. the expected value of the random variable
a. The probability of exactly 4 successes is approximately 0.2967.
b. The probability of 5 or more successes is approximately 0.5332.
c. The probability of exactly 6 successes is approximately 0.1399.
d. The expected value of the random variable is 3.96
To solve these problems, we'll use the binomial probability formula:
P(X = k) = C(n, k)× \(p^{k}\)× \((1-p)^{(n-k)}\)
where:
P(X = k) is the probability of getting exactly k successes,
n is the sample size,
p is the probability of success,
C(n, k) is the number of combinations of n items taken k at a time.
Now let's solve each part of the problem:
a. The probability of exactly 4 successes:
P(X = 4) = C(6, 4) × (0.66)⁴ × (1 - 0.66)⁽⁶⁻⁴⁾
C(6, 4) = 6! / (4! × (6 - 4)!) = 6! / (4! × 2!) = (6 × 5) / (2 × 1) = 15
P(X = 4) = 15 × (0.66)⁴ × (0.34)² ≈ 0.2967 (rounded to four decimal places)
b. The probability of 5 or more successes:
P(X ≥ 5) = P(X = 5) + P(X = 6)
P(X = 5) = C(6, 5) × (0.66)⁵ × (1 - 0.66)⁽⁶⁻⁵⁾ = 6 × (0.66)⁵ × (0.34)¹ ≈ 0.3933
P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶× (0.34)⁰ = 0.1399
P(X ≥ 5) = P(X = 5) + P(X = 6) = 0.3933 + 0.1399 ≈ 0.5332 (rounded to four decimal places)
c. The probability of exactly 6 successes:
P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶ × (0.34)⁰= 0.1399
d. The expected value of the random variable:
The expected value (mean) of a binomial distribution is given by:
E(X) = n × p
E(X) = 6 × 0.66 = 3.96
Therefore:
a. The probability of exactly 4 successes is approximately 0.2967.
b. The probability of 5 or more successes is approximately 0.5332.
c. The probability of exactly 6 successes is approximately 0.1399.
d. The expected value of the random variable is 3.96
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Anya earns $150 less than three times Rick's monthly salary. If Rick's salary is represented by x which expression represents Anya's salary
A x-3- $150
B 3(x+$150)
C 3(x-$150)
D 3x-$150
E 3x+$150
Answer:
d
Step-by-step explanation:
3 multiplied by ricks salary minus 150
What is the two ratios equivalent to 14:32
Answer:
7:16
3.5:8
Step-by-step explanation:
8 X-6
Multiplying & dividing integers find each product
Answer:
the answer is 48
but because there is -6 the answer will be -48
310-(30x7)=5xk solve for k
Answer K= 20/x
Step-by-step explanation:
The value of k in the given linear equation is 20.
What is a linear equation?A linear equation is an equation where the variable (or variables) has the highest power of one.
Given,
310 - (30 × 7)=5 × k
⇒ 310 - 210 = 5k
⇒ 5k = 100
⇒ k = 100/5 = 20
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Can someone pls help me!
Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?
Answer:
Mrs. Storz must give 45 minutes
Step-by-step explanation:
Create a proportion:
t = total time given for all questions
\(\frac{3}{7.5} = \frac{18}{t}\)
Cross multiply:
3t = 135
Divide both sides:
3t/3 = 135/3
t = 45
What is the mean absolute percent error of the following forecasts? Period Actual Demand Forecas 1 800 720
2 700 720
3 1800 720 4 300 720
5 750 720 A. 0 B. 0.4528 C.-0.1377 D. 150 E. 0.4337 F. 260.23 F. 1.1137 H. 326
The Mean Absolute Percent Error (MAPE) is a metric used to assess the accuracy of forecasts MAPE = 0.535 or 53.5%
1. Calculate the absolute errors (|Actual Demand - Forecast|)
2. Find the percentage errors (|Absolute Error / Actual Demand|)
3. Calculate the average of the percentage errors
For the given data, we have the following:
Period 1:\( |800 - 720| = 80\); Percentage Error = \(80 / 800 = 0.1\)
Period 3:\( |1800 - 720| = 1080\); Percentage Error =\( 1080 / 1800 = 0.6\)
Period 4:\( |300 - 720| = 420\); Percentage Error = \(420 / 300 = 1.4\)
Period 5: \(|750 - 720| = 30\); Percentage Error = \(30 / 750 = 0.04\)
Now, find the average percentage error:
\((0.1 + 0.6 + 1.4 + 0.04) / 4 = 2.14 / 4 = 0.535\)
\(MAPE = 0.535 or 53.5%\)
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find the future value of $750 deposited each month at 3.25% for 15 years
Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
Confused with this problem :(
the amount of water on either pool, now this is assuming the pool is filled up to the top, will simply be the volume of the rectangular prism, in this case the pools are in meters, so the volume will be in meter³.
the volume of a rectangular prism is simply the product of length*width*height, and we know all those for each.
so the volume of the larger pool is just 50*25*3 = 3750 m³.
the volume of the smaller pool is just 21*25*2 = 1050 m³
if we take the volume of the larger pool as the 100%, so we can say that if 3750 is 100%, what is 1050 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 3750&100\\ 1050&x \end{array}\implies \cfrac{3750}{1050}=\cfrac{100}{x}\implies \cfrac{25}{7}=\cfrac{100}{x} \\\\\\ 25x=700\implies x=\cfrac{700}{25}\implies x=\stackrel{\%}{28}\)
Q2) 1,-3, 9, -27, 81, -243, ...
Bobby was absent from school and called you to find out what he missed. You say to find the next
numbers in pattern 2 you would
Solving the Question
We're given:
1,-3, 9, -27, 81, -243, ...The first term is 1. It appears that, to get each consecutive term, we have to multiply the previous term by -3.
i.e. 1 x -3 = -3-3 x -3 = 99 x -3 = -27Therefore, to get each the next two terms, we have to multiply the previous term by -3.
AnswerTherefore, to get each the next two terms, we have to multiply the previous term by -3.
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over 8 EndFraction blank line StartFraction 2 Over 4 EndFraction StartFraction 7 Over 8 EndFraction StartFraction 2 Over 4 EndFraction A circle divided into 8 equal parts. 7 parts are shaded. A circle divided into 4 equal parts. 2 parts are shaded. is greater than cannot be compared to is less than is equal to
Answer:
7/8 is greater than 2/4
Step-by-step explanation:
In this question basically, what we are trying to do is to compare fractions and state which is greater or less.
The first fractions in the question is;
7/8 _ 2/4
Now, one of the best ways to go around comparing fractions is looking at the denominators.
In this question, the denominators in the fractions are 8 and 4.
The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.
Thus, what we have would be;
7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32
Now for the fraction;
2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32
We can see they both have a common denominator and we can directly compare their numerators.
Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4
So what we have in the blank is ; is greater than
Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4
Answer:
is less than
Step-by-step explanation:
look at da graph and watch mario.
The bends on a track for car racing are semicircular and the track is banked at an angle of 28
0
to the horizontal. Suppose the radius of the curvature of the bends is 120 m. a) At what speed can a racing car and a driver of mass 800 kg take these bends even when there is no friction between the car and the track? b) If the car speed is twice of that in (a). (i) draw the free-body diagram of the car (ii) Find the value of the frictional force f.
The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.
a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).
(i) The free-body diagram of the car is as shown below;
(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.
Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.
Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.
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What is the answer??
c — 10 ≥ 15
Answer:
Step-by-step explanation:
c - 10 ≥ 15 =
c ≥ = 15 + 10
c ≥ = 25
c = 26 ( or numbers above 26)
Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD
Answer:
meta beta
Step-by-step explanation:
diem ryugudnhkng.
The cost y (in dollars) of renting a segway for x hours is y=24x+6. Find the initial fee and the cost per hour.
Answer:
(x - 6) ÷ 24
Step-by-step explanation:
Simplify and get the answer
Fill in the blank with an appropriate word, phrase, or symbol(s). The number of regions created when constructing a Venn diagram with three overlapping sets is The number of regions created when constructing a Venn diagram with three overlapping sets is 8 3 6
The number of regions created when constructing a Venn diagram with three overlapping sets is 8.
In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.
When three sets overlap, there are different combinations of elements that can be present in each region.
For three sets, the number of regions can be calculated using the formula:
Number of Regions = 2^(Number of Sets)
In this case, since we have three sets, the formula becomes:
Number of Regions = 2^3 = 8
So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.
Each region represents a unique combination of elements belonging to different sets.
These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.
Therefore, the correct answer is 8.
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lynn had $7,500.She spent 16% of the money on food and 30% of the money on drink. How much money did she have left
Answer:
$4050
Step-by-step explanation:
16% of 7500 is 1200
30% of 7500 is 2250
A very simple way of figuring that out is moving the decimal place two to the left (7500 is now 75.00) and multiplying it by the percent (75*16=1200)
Just subtract the percentage numbers and you're done
7500-1200=6300
6300-2250=4050
Please give brainliest if I helped! :)
Jovana makes $11.25 per hour at her part-time job. During one week, she also earned $30 in tip money, and her final pay for the week was $159.50. Which answer gives the best estimate for the number of hours she worked that week?
The answer that gives the best estimate for the number of hours she worked that week would be = 11.25x+30=159.5
How to calculate the number of hours she worked per week?The normal amount she earns per hour in a week = $11.25 per hour.
The extra cash she earned during the week = $30
The total amount she received during the week = $159.50
Let the number of hours she worked = X
Therefore, 11.25x+30=159.5 show the number of hour she worked per week.
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Complete question:
Jovana makes $11.25 per hour at her part-time job. During one week, she also earned $30 in tip money, and her final pay for the week was $159.50. Which answer gives the best estimate for the number of hours she worked that week?
11.25+30=159.5x
11.25x + 30x=159.5
11.25x+30=159.5
11.25x+30=159.5x
Is the relation a function?? Plzz helppp!!!
(1,19) , (2,23) , (3,23) , (4,29) , (5,31)
Can you please help me with this question
When you have negative exponents, you flip it around. Let me give you two examples below.
\(x^{-5} = \frac{1}{x^{5} }\)
\(10^{-2} = \frac{1}{10^{2} }\)
Therefore you will be doing: \(\frac{4}{1} * \frac{1}{10^{2} } = \frac{4}{1} * \frac{1}{100} } = \frac{4}{100} = \frac{1}{25}\)
Your final answer is 1/25.
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Given △PQR ~ △STU, find the missing measures in △STU.
Triangles P Q R and S T U. Side P Q has length 14, side Q R has length 28, and side R P has length 21. Angle P has measure 70 degrees and angle R has measure 46 degrees. In triangle S T U, side U S has length 6. No other measures are given.
SU ST TU m∠S m∠T m∠U
Answer:
Step-by-step explanation:
Since △PQR ~ △STU, their corresponding angles are congruent, and their corresponding sides are proportional.
First, we can find the measure of angle Q as follows:
m∠Q = 180 - m∠P - m∠R = 180 - 70 - 46 = 64 degrees
Next, we can use the fact that the sides of the similar triangles are proportional to set up the following proportions:
frac{ST}{21} = frac{SU}{14} and frac{ST}{28} = frac{TU}{21}
Solving for ST gives us:
ST = frac{21}{14} SU = frac{3}{2} SU
and
ST = frac{28}{21} TU = frac{4}{3} TU
Substituting these values into the second proportion, we get:
frac{3}{2} SU = frac{4}{3} TU
Multiplying both sides by 2/3, we get:
SU = frac{8}{9} TU
Now we can use the fact that the angles in a triangle add up to 180 degrees to find the measure of angle T.
m∠T = 180 - m∠S - m∠U = 180 - m∠S - (180 - m∠P - m∠R)
m∠T = m∠P + m∠R - m∠S = 70 + 46 - m∠S = 116 - m∠S
Finally, we can use the fact that the angles in △STU add up to 180 degrees to find the measure of angle S.
m∠S + m∠T + m∠U = 180
Substituting the previously found values for m∠T and SU into the equation, and solving for m∠S gives us:
m∠S = 52 degrees
Therefore, the missing measures are:
SU = 6 x 8/9 = 16/3
ST = 3/2 x 6 = 9
TU = 4/3 x 9 = 12
m∠S = 52 degrees
m∠T = 116 - 52 = 64 degrees
m∠U = 180 - 52 - 64 = 64 degrees
The Platinum Rule test is a good way of judging if distributive justice is taking place Select one True O False
The Platinum Rule test is a good way of judging if distributive justice is taking place is true.
Distributive justice is the idea that people should be treated equally and that goods, opportunities, and resources should be distributed fairly among all members of society. The Platinum Rule test is one way to evaluate whether or not distributive justice is being practiced. In order to understand the Platinum Rule, it is important to first understand the Golden Rule, which states, "Do unto others as you would have them do unto you." The Platinum Rule takes the Golden Rule a step further by recognizing that people may have different needs, preferences, and desires.
The Platinum Rule states, "Do unto others as they would have you do unto them." This means that instead of treating others the way you would want to be treated, you should treat them the way they want to be treated. The Platinum Rule test can be used to evaluate whether or not distributive justice is being practiced by asking the question, "Are people being treated in the way they want to be treated?" If the answer is yes, then distributive justice is likely being practiced. However, if the answer is no, then there may be a problem with the way goods, opportunities, and resources are being distributed.
Overall, the Platinum Rule test is a useful tool for evaluating whether or not distributive justice is taking place.
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Find the circumference
Answer:
C = 9(pi)
Step-by-step explanation:
The formula for the circumference of a circle of diameter d is C = (pi)d.
Here the diameter is 9, so the circumference of this particular circle is
C = (pi)(9) = 9(pi)
There is two-bus system in Pulau XYZ where bus 1 is a slack bus with V₁ =1.05/0° pu. A load of 80 MW and 60 MVar is located at bus 2. The bus admittance matrix of this system is given by: 2-27] = I bus Performing ONLY ONE (1) iteration, calculate the voltage magnitude and angle of bus 2 using Newton-Raphson method. Given the initial value of V₂ =1.0 pu and ₂) = 0°.
To calculate the voltage magnitude and angle of bus 2 using the Newton-Raphson method, we need to perform one iteration using the given information.
Let's denote the voltage magnitude of bus 2 as V2 and the angle as δ2.
Given initial values of V2 = 1.0 pu and δ2 = 0°, we can start the Newton-Raphson iteration as follows:
Calculate the power injections at bus 2:
P2 = 80 MW
Q2 = 60 MVar
Calculate the mismatch between calculated and specified power injections:
ΔP = Pcalc - P2
ΔQ = Qcalc - Q2
Calculate the Jacobian matrix J:
J = ∂F/∂Θ ∂F/∂V
∂P/∂Θ ∂P/∂V
∂Q/∂Θ ∂Q/∂V
Solve the linear system of equations to find the voltage corrections:
ΔΘ, ΔV = inv(J) * [ΔP, ΔQ]
Update the voltage magnitudes and angles:
δ2_new = δ2 + ΔΘ
V2_new = V2 + ΔV
Performing this single iteration will provide updated values for δ2 and V2. However, without the given values for ∂P/∂Θ, ∂P/∂V, ∂Q/∂Θ, and ∂Q/∂V, as well as the specific equations for power flow calculations, it is not possible to provide the exact results of the iteration or calculate the voltage magnitude and angle of bus 2
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Darius finds a leaf that is 6 cm long. Which measurement is equivalent to 6 cm?
OA. 0.6 mm
OB. 60 mm
OC. 0.06 mm
OD. 600 mm
Answer:
B: 60mm
Step-by-step explanation:
Answer:
B. 60 mm
Step-by-step explanation:
1 cm = 10 mm
6 cm = 6 * 1 cm = 6 * 10 mm = 60 mm
Answer: B. 60 mm
MATH HELP ASAP! MARKING BRAINLIST!!!!!! maTH haLLP
It is a 75% increase
Answer:
75%?? im unsure
Step-by-step explanation:
express x² - 8x + 5 in the form {x-a]²-b where a and b are the integers
x² - 8x + 5 can be expressed as (x - 4)² - 11 in the form (x - a)² - b, where a = 4 and b = 11.
Let y = x² - 8x + 5 ..................( 1 )
Expanding (x - a)² - b we get,
x² - 2ax + a² - b ......................( 2 )
Equating ( 1 ) and (2), we get
x² - 8x + 5 = x² - 2ax + a² - b
Comparing the coefficient of x,
- 8 = - 2a
a = 4
Comparing constants,
a² - b = 5
since we know a = 4
4² - b = 5
16 - b = 5
b = 11
Hence x² - 8x + 5 = (x - 4)² - 11
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