Answer:
w=7a+4bw-4b = 7a
Step-by-step explanation:
Help me please
Can someone answer number 4 please?
Will give brainlest
The measures of angles 4 and 5 are:
∠5 = 104°
∠4 =76°
How to find the measures of the angles?On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.
Then we can write the sum:
∠1 + ∠2 = 180°
(3x + 5) + (2x + 10) = 180
5x + 15 = 180
5x = 180 - 15
x = 165/5 = 33
the measure of angle 5 is the same one of angle 1 then:
∠5 = (3*33 + 5)° = 104°
And angle 4 is supplementary of angle 1, then:
∠4 + 104° = 180°
∠4 = 180 - 104= 76°
These are the measures
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the burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. find the number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles. use excel, and round your answer to two decimal places.
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.
When the distribution is normal, we use the z-score formula.
In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:
Z = (X – µ) / σ
What is Z-score?The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
So, in this case, given that:
µ = 249, σ = 20
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:
100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.
Now, put all the values into the formula:
Z = (X – µ) / σ
–0.253 = (X – 249) / 20
X – 249 = –0.253 * 20
X = 244
Hence, the candle burns for 244 minutes.
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Chloe is developing her risk management plan and wants to make sure that she can get early warning that a risk might occur. What is the key item she should document in her risk information forms
In Chloe's risk information forms, the key item she should document is the probability and impact of each identified risk.
To effectively monitor risks and obtain early warnings, Chloe should document the probability and impact of each identified risk in her risk information forms. Let's break down why this information is critical in risk management.
The impact of a risk represents the potential consequences or severity of its occurrence. By documenting the impact, Chloe can understand the potential damage or disruption a risk could cause. This allows her to prioritize risks based on their potential impact on the project or objective. By assigning an impact rating or value to each risk, Chloe can identify high-impact risks that require careful consideration and robust mitigation strategies.
Once Chloe has established the probability and impact for each risk, she can set thresholds or triggers for early warning signs. These thresholds act as indicators that a risk is approaching or crossing a critical level.
Chloe can track these thresholds regularly and set up a monitoring system that alerts her when a risk reaches or surpasses the specified levels. This allows her to take timely action and implement mitigation strategies before the risk escalates and negatively impacts the project.
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11. A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is 37, how many tiles cover the floor
361 congruent square tiles would be needed to cover the square shaped floor.
EquationAn equation is an expression that shows the relationship between two or more variables and numbers.
Since the number of tiles lying on both diagonals is 37. Let x represent the number of tiles on each side.
Counting one tile twice, there are:
37=2x-1 x=19 tiles on each side.19² = 361
361 congruent square tiles would be needed to cover the square shaped floor.
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Please help me with this homework
Answer:
it's >
Step-by-step explanation:
3 is greater
Toni's income can be calculated as $15 times the number of hours worked (h) added to her
commission of $150. If she adds $114 from her side job, her income totals $864. Which
expression represents Toni's income?
Answer:
the answer is 6
Look at the colours below. Write a sentence saying whether or not it is
possible to find
a) their mean.
b) their median.
c) their mode.
purple
red
blue
purple
green
purple
blue
red
The mean is 1.25. The median is 3 and the mode is purple.
a) It is possible to find the mean of the given colors.
b) It is possible to find the median of the given colors.
c) It is possible to find the mode of the given colors.
To calculate the mean, you would assign numerical values to each color and find the average. For example, purple = 1, red = 2, blue = 3, green = 4. Then, you would add up the numerical values and divide by the total number of colors.
To find the median, you would arrange the colors in order and find the middle value. If there is an even number of colors, you would take the average of the two middle values.
To find the mode, you would determine which color appears most frequently in the list. In this case, "purple" appears three times, which makes it the mode.
So, the mean is 1.25. The median is 3 and the mode is purple.
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Rewrite each function in vertex form.
y=x²-6 x+1
The function y = x² - 6x + 1 can be rewritten in vertex form as y = (x - 3)² - 8.
To rewrite the given quadratic function in vertex form, we'll complete the square. The vertex form of a quadratic function is given by:
y = a(x - h)^2 + k
where (h, k) represents the coordinates of the vertex.
Let's go ahead and rewrite the function y = x² - 6x + 1 in vertex form:
Step 1: Group the quadratic terms together.
y = (x² - 6x) + 1
Step 2: Complete the square for the x terms inside the parentheses.
y = (x² - 6x + 9 - 9) + 1
Step 3: Rearrange the equation to isolate the completed square term.
y = (x² - 6x + 9) - 9 + 1
Step 4: Factor the trinomial and simplify the expression.
y = (x - 3)² - 8
Therefore, the function y = x² - 6x + 1 can be rewritten in vertex form as y = (x - 3)² - 8.
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I HATE when people answer the question and think its right but its not and give themselves 5 star but its wrong and take my points dont answer if you dont know
Answer:
Factsssssssssssssssssssssssssssssssssss
Step-by-step explanation:
1) don't do it
What is an inverse variation graph called?
The graph of the inverse variation equation is called a rectangular hyperbola.
A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.
An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.
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Write a linear equation that crosses the
points (0,0) and (15, 15).
Answer:
y = x
Step-by-step explanation:
(0,0) and (15, 15)
Slope:
m=(y2-y1)/(x2-x1)
m=(15-0)/(15-0)
m=15/15
m = 1
Pt-Slope intercept:
y - y1 = m(x - x1)
y - 0 = 1(x - 0)
y - 0 = x
y = x
if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know
Answer:
love
Step-by-step explanation:
you
a family on a trip budgets $800 for sit-down restaurant meals and fast food. if the price of a fast food meal for the family is $20, how many such meals can the family buy if they do not eat at restaurants? group of answer choices 8 15 20 40 160
Answer:
If the family has $800 for sit-down restaurant meals and fast food and they budgeted all of it for fast food, then they can buy $800/$20 = 40 fast food meals.
Step-by-step explanation:
yw;)
Answer:
40
Step-by-step explanation:
No. Of Meal=Budget/price of Meal
=800/ 20
=40
It’s this one and I’m done
Answer:
168 in
Step-by-step explanation:
Pythagoras says:
b² + 56² = 70²
so
b² = 70² - 56²
b = √1764 = 42
so the perimeter is 70+56+42 = 168
CORRECT ANSWER GETS BRAINLIEST!!!
The least-squares regression equation
y = 120 + 40x can be used to predict the cost of renting a backhoe for x hours. Suppose it costs $325 to rent a backhoe for 5 hours.
Calculate the residual for renting the backhoe for 5 hours, to the nearest hour.
The residual is _____
Answer:
5
Step-by-step explanation:
just did on edge
The residuals is $5
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given, The least-squares regression equation
y = 120 + 40x
This equation can be used to predict the cost of renting a backhoe for x hours
If it costs $325 to rent a backhoe for 5 hours.
We need to Calculate the residual for renting the backhoe for 5 hours,
Plug 5 in place of x in equation
y=120+40(5)
y=120+200
y=320
Since the The observed value is $325.
To find residual for renting the backhoe for 5 hours
We have to separate 320 from 325
325-320=5
Hence the residual is 5.
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Rita bought cupcakes for her sister's birthday party. 20% of the 5 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Answer: 1
Step-by-step explanation:
20% of 5 = 1
What is the cube root of 12 167?
From the given information provided, the cube root of 12,167 by prime factorization method is approximately 23.
You can find the cube root of 12,167 using a calculator or by using the prime factorization method.
Using the prime factorization method, we can express 12,167 as the product of its prime factors:
12,167 = 19 × 641
Since the cube root of a product is equal to the product of the cube roots of the factors, we can find the cube root of 12,167 as follows:
∛12,167 = ∛(19 × 641)
∛12,167 = ∛19 × ∛641
∛12,167 = 2.7144 × 8.0186
∛12,167 = 23.1649 (rounded to four decimal places)
Therefore, the cube root of 12,167 is approximately 23.
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pythagorean theorem calc: find a, b=12, c=37
Answer:
a = 35
Step-by-step explanation:
\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)
8. Set up the artificial variable LP (Phase I LP) and specify the EBV and the LBV. DO not perform a complete pivot (complete with the exchange of basic variables). ( 16pts ) MaxZ=4x
1
+7x
2
+x
3
s.t.
2x
1
+3x
2
+x
3
=20
3x
1
+4x
2
+x
3
≤40
8x
1
+5x
2
+2x
3
≥70
x
1
,x
2
≥0
To set up the artificial variable LP (Phase I LP) for the given problem, we introduce an artificial variable, LP, to the objective function with a coefficient of 1. The artificial variable is used to identify infeasible solutions.
To set up the artificial variable LP (Phase I LP), we modify the objective function as follows:
Maximize Z = 4x1 + 7x2 + x3 + LP
The artificial variable LP is introduced to the objective function with a coefficient of 1. This allows us to track its value during the iterations.
The initial constraints remain the same:
2x1 + 3x2 + x3 = 20
3x1 + 4x2 + x3 + x4 = 40
8x1 + 5x2 + 2x3 - x5 = 70
The initial basic variables (BV) are the slack variables corresponding to the equality and inequality constraints, namely, x3 and x4. The artificial variable LP is initially a non-basic variable.
The initial artificial variables' basic variable (BVB) values are set to the right-hand side values of the constraints:
x3 = 20
x4 = 40
The initial artificial variable LP's value is set to 0.
Next, the artificial variable LP is selected as the entering variable, as it has a positive coefficient in the objective function. To determine the leaving variable, we perform the ratio test using the ratios of the right-hand side values and the entering column values (coefficients of LP) for the respective constraints.
The leaving variable is determined based on the minimum ratio, ensuring that the corresponding row represents a valid pivot element. If no valid pivot element is found, the problem is infeasible.
This completes the setup of the artificial variable LP (Phase I LP) without performing a complete pivot. Further steps would involve applying the simplex method and iteratively pivoting to find the optimal solution or identify infeasibility.
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Questions are from: Gerald and Wheatly, Applied Numerical Analysis 1) 10. A sky diver jumps from a plane, and during the time before the parachute opens, the air resistance is propor- tional to the power of the diver's velocity. If it is known that the maximum rate of fall under these condi- tions is 80 mph, determine the diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2. Neglect horizontal drift and assume an initial velocity of zero.
The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
Given data: Initial velocity, u = 0 ft/sec
Acceleration, a = g = 32.2 ft/sec²
The maximum rate of fall, vmax = 80 mph
Time, t = 2 seconds
Air resistance constant, Ar = 0.2
We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.
The governing equation for the velocity of the skydiver is given by the following:
ma = -m * g + k * v²
where, m = mass of the skydive
r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.
The equation can be written as,
v' = -g + (k / m) * v²
Here, v' = dv/dt = acceleration
Hence, the modified Euler's formula for the velocity can be written as
v1 = v0 + h * v'0.5 * (v'0 + v'1)
where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²
As the initial velocity of the skydiver is zero, we can write
v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))
v1 = 62.732 mph
Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
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PLS HELP WITH THIS MATH
If I want to convert 4.42 kg into lbs, what is the starting place in terms of the conversion process?
To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.
The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.
In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:
4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs
By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.
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20 in roman numerals
Answer:
xx
Step-by-step explanation:
A hockey player strikes a hockey puck. The height of the puck increases until it reaches and maximum height of 3 feet, 55 feet away from the player. The height y (in feet) of a second hockey puck is modeled by y=x(0.15-0.001x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Answer:
Distance traveled by hockey puck of second player is 40 feet more than that of first player.
Step-by-step explanation:
Maximum height of 3 feet is attained by the hockey puck of first player is when the puck is 55 feet away from the player.
It is at the mid point of the total horizontal distance to be traveled by the hockey puck.
So, the horizontal distance traveled by hockey puck of first player = 55 + 55 = 110 feet
Second player:
\(y=x(0.15-0.001x)\)
where \(y\) is the height of a second hockey puck
\(x\) is the horizontal distance.
When the puck hits the ground, \(y=0\)
Now, let us find the value of \(x\).
\(\Rightarrow 0=x(0.15-0.001x)\)
At \(x=0\) feet or \(x=150\) feet, \(y=0\)
Therefore, the distance traveled by second hockey puck is 150 feet.
So, the answer is:
Distance traveled by hockey puck of second player is 40 feet more than that of first player.
The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If Ayanna spends $26 for 8 books, how many hardcover books did she buy?
Answer:
5 hardcover books
Step-by-step explanation:
x + y = 8 ↔ Assume x for hardcover books and y for paperback cover
4x + 2y = 26 ↔ Total cost of 8 books is $26
-2x - 2y = -16 ↔ Multiply Equation 1 by -2 so that the coefficients of y is opposite
2x = 10 ↔ Add the two equations to eliminate y
x = 5 ↔ Divide each side by 2
Hope this helps!! :)
Brainlest Pleasee
i need to know expand x(4 - 3.20y)
Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice
Answer:
2/6 chance the dice be rolled to the total of 12
Factor x2 − 7x 8. (x 8)(x − 1) Prime (x − 8)(x − 1) (x 8)(x 1).
Answer: the correct factorization of x^2 - 7x + 8 is (x - 1)(x - 8).
Step-by-step explanation:
To factor the expression x^2 - 7x + 8, we can look for two binomial factors whose product equals the given expression.
The correct factored form of x^2 - 7x + 8 is (x - 1)(x - 8). This can be found by using the FOIL method or by factoring the expression using other methods such as the quadratic formula or completing the square.
HELPPPPPPPPPPP!!!!!!
Answer:
2x
Step-by-step explanation:
The width of the outer frame - inner frame
= 8 \(\frac{3}{4}\) - 4 = 2x
Part B: If you were to randomly sample 25,000 people to see if they are
left-handed or right-handed, approximately how many would you expect
to be right handed? (number answer only) *
Answer:
22500 people
Step-by-step explanation:
because about 90 percent of people are right handed whole only 10 percent are left handed