Answer:
b = (9 - 12c)/5 OR b = 9/5 - 12c/5
Step-by-step explanation:
5b + 12c = 9
Subtract 12c from both sides.
5b = 9 - 12c
Divide both sides by 5.
b = (9 - 12c)/5.
192, 144, 108,….
Find the recursive and explicit formula
Answer:
Explicit: \(a_n = 192 * (3/4)^{n-1}\)
Recursive: \(a_n = a_{n-1} * (3/4)\)
Step-by-step explanation:
Common Ratio ( r ): 144/192 = 3/4 (0.75)
Geometric Explicit:
\(a_n = a_1 * r^{n-1}\)
\(a_n = 192 * (3/4)^{n-1}\)
Geometric Recursive:
\(a_n = a_{n-1} * r\)
\(a_n = a_{n-1} * (3/4)\)
Hopefully this helped!
ed needed to extend the string on his kite. the current string was feet. he cut a piece of string that measured 8.5 feet and added it to the existing string. what is the new length of the string?
By cutting and adding a piece of string measuring 8.5 feet, Ed extended the length of his kite string. The new length of the string is the sum of the original length and the additional piece.
Initially, Ed had a kite string with a certain length. Let's assume the original length of the string was x feet. Ed then cut a piece of string measuring 8.5 feet and added it to the existing string. To find the new length of the string, we need to add the original length and the length of the additional piece.
Therefore, the new length of the string can be calculated by adding x feet (the original length) and 8.5 feet (the length of the additional piece). Mathematically, it can be represented as:
New Length = Original Length + Additional Length
New Length = x + 8.5 feet
Thus, the new length of the string is x + 8.5 feet.
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the test statistic calculated in the process of a kruskall-wallis test is h.
T/F
The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.
True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.
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use the diagram below to find the measurements of angle abc
Answer :
55°
Detailed explanation:
The triangles are isosceles (having two sides of equal length and angle).
Hence solve for angle DCE
Angle DCE= 180°-(55°+55°)
=70°
As vertically opposite angles are equal. Thus,
angle ACB=70°.
Hence 180°-70°=110°
As the angles in an isosceles triangle are equal hence;
110°÷2=55°
Hence angle ABC is 55°
Hope this is has been clearly explained!
The measure of angle ABC from the given figure is 55 degree. Therefore, the correct answer is option A.
From the given figure, we have two isosceles triangles DCE and ABC.
In ΔDCE,
Base angle is ∠CED=55°.
Here, base angles are equal
That is, ∠CED=∠CED=55°
By using angle sum property of a triangle, we get
∠DCE=180°-(55°+55°)
∠DCE=70°
Now, ∠DCE and ∠ACB are vertically opposite angles are equal.
So, ∠DCE =∠ACB=70°
In ΔABC, base angles BAC and ABC are equal
So, ∠BAC+∠ABC+∠ACB=180°
∠ABC+∠ABC+70°=180°
2∠ABC=110°
∠ABC=55°
Therefore, the correct answer is option A.
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QUICK IM BEING TIMED IF U GET IT RIGHT ILL GIVE U 55 POINTS!!!!!!!!!!!!
Which digital team did the best job practicing netiquette? Team 1 included ideas from all team members and gave a good presentation by giving everyone a job to do. Team 2 included contributions from an ambitious student who did most of the work and gave a good presentation. Team 3 included input from most team members and gave a fair presentation even though some members quit. Team 4 included advice from a few team members and gave a fair presentation despite missing deadlines.
Answer:
its team 1
i got it right
plz give me 55 points
Step-by-step explanation:
Hhhhhhhhhhjhhjhhjhjjjjjjhhhhhhhhhh
Answer:
i know right? It's so difficult till I'm brainless when I try to solving it
Answer:
same tbh
Step-by-step explanation:
Solve for X:
Need help ASAP
Answer:
x = 20°
Step-by-step explanation:
So basically, since the 2 values are on the opposite side of an "x," you just set the 2 values each to each other and solve for x.
6x - 20 = 100
+20 +20
6x = 120
÷6 ÷6
x = 20
I NEED HELP WITH THIS OMG
Answer:
its actually hard
Step-by-step explanation:
it is hard OMG
Answer:
∠ EDF =104°
Step-by-step explanation:
The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is
∠ EDF = \(\frac{1}{2}\) (arc EF + arc GU )
= \(\frac{1}{2}\) (147 + 61)°
= \(\frac{1}{2}\) × 208°
= 104°
what is the solution of the follow inequality-3x+3> or equal to 9
Answer:
x ≤ - 2
Step-by-step explanation:
Given
- 3x + 3 ≥ 9 ( subtract 3 from both sides )
- 3x ≥ 6
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x ≤ - 2
Answer:
x<or equal to -2
Step-by-step explanation:
-3x>or equal to 9-3
-3x>or equal to 6(dividing both of them by -3)
x<or equal to -2
A runner is training for a marathon by adding on 4 minutes to the total training time each day. If the runner trains for 24 minutes the first day, which formula represents the total number of minutes the runner will train after n days?
Answer:
a
Step-by-step explanation:
Add 4 minutes to the 24 minutes each day. Multiply the number of minutes by the time.
A number is four-fifths of the other. If their sum is 180, find the numbers.
Answer:
720 I'm sure that's answerAnswer:
100 and 80
Step-by-step explanation:
let the numbers be n and \(\frac{4}{5}\) n , then their sum is
n + \(\frac{4}{5}\) n = 180 ( multiply through by 5 to clear the fraction )
5n + 4n = 900 , that is
9n = 900 ( divide both sides by 9 )
n = 100
and \(\frac{4}{5}\) × 100 = 4 × 20 = 80
the numbers are 100 and 80
1. Luzcel real estate owns 8000 square meters of lot area and decides to construct two different styles of houses, B and C. The lot area of house B is 250 sq. m. and house C lot area is 200 sq. m. The construction engineer has a maximum of 6400 man-hours of labor for the construction. Let your variables be the number of units of house B and the number of units of house C to be constructed. a) Write an inequality which states that there are 8000 sq. m. of land available. b) A unit of house B requires 160 man-hour and a unit of house C requires 256 man-hour. Write an inequality that the engineer has at most 6400 man-hour available for construction. c) If material cost 600 thousand pesos for a unit of house B and 800 thousand for a unit of house C, write an inequality stating that the engineer has at least 12 million pesos to spend for materials. d) Labor cost 1.1 million pesos for constructing a unit of house B and 1.3 million pesos for constructing a unit of house C. If a unit of house B sells for 3.5 million and a unit of house C selis for 4 million, how many units of house B and house C should be constructed to obtain the maximum profit? Show the graph.
Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.
Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:
160B + 256C ≤ 6400c
Inequality stating that the engineer has at least 12 million pesos to spend for materials:
600B + 800C ≤ 12000d
. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C
Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.
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A farmer has an equal number of cows in 3 different fields on his farm. Which choice could be the total number of cows
Options :
112
178
207
206
Answer:
207
Step-by-step explanation:
Given that:
Number of cows in each field = x
Number of fields = 3
Hence, total number of cows would be :
Number of cows per field * number of fields
Total number of cows = 3x
Therefore,
The total number of cows must be a multiple of 3 : as the total would be a while number.
From the options given, the only possible value for the total Number of cows is 207 as it is the only number which is a multiple of 3 in the options given.
207 = 3x
x = 207 / 3
x = 69
Which postulate can be used to prove congruence? Please help
Answer: Choice E) Insufficient information to prove congruence.
============================================================
Explanation:
We're given that AB = DC and BE = CE. This means we have two pairs of congruent sides and we could use SAS if we know that angle ABE = angle DCE. However, we don't know this information.
While we do know that angle AEB = angle DEC (vertical angle theorem), this is not enough information. Recall that SSA is not a valid congruence theorem. The angles in question are not between the sides mentioned in the previous paragraph.
Therefore, we don't have enough information to prove the triangles congruent.
-----------------
Side notes:
We can't use SSS because we don't have info about three pairs of sides. We only have info about two pairs of sides.We can't use ASA because we only have info about one pair of angles.We can't use HL because this only applies to right triangles.241.78 divided by (-3.85)
Answer:
-62.8 is the Answer fot the equation, Hope this helped
How can you rewrite equations like 2,000 = 20x + 10y to express x as a function of y? To
express y as a function of x?
Answer:
see below
Step-by-step explanation:
to express x as a function of y we need to form this
\(y=mx+b\)
and to express y as a function of x
\(x=ay+c\)
so we work
1)
\(2000=20x+10y\\\\2000-20x=10y\\\\y=-2x+200\)
2)
\(2000=20x+10y\\\\2000-10y=20x\\\\x=-\frac{1}{2}x+100\)
Helpppppppppppppppppppppp-ASAP I’ll give you 20 points
Answer:
x≥5
Step-by-step explanation:
Let's solve your inequality step-by-step.
5≤−5+2x
Step 1: Simplify both sides of the inequality.
5≤2x−5
Step 2: Flip the equation.
2x−5≥5
Step 3: Add 5 to both sides.
2x−5+5≥5+5
2x≥10
Step 4: Divide both sides by 2.
2x/2 ≥ 10/2
x≥5
Answer:
x≥5
Please help , it’s not school, every time I check my message it shows that I don’t have any but the notifications keep popping up. Does anyone know how to see the messages?
Answer:
its something common to most i think just dont worry about it the messages you do see are the real stuff if you really want to get rid of that problem tho contact support or who ever is incontrol of brainly
Step-by-step explanation:
this figure is made up of a rectangle and parallelogram. what is the area of this figure? enter your answer in the box. do not round any side lengths. units²
40 square units is the area of this rectangle figure .
What is a rectangle ?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).
The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.
The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.
L = sqrt((2 - -6)^2 + (1 - -1)^2)
L = sqrt(8^2 + 2^2)
L = sqrt(64 + 4)
L = sqrt(68) = 2*sqrt(17)
W = sqrt((2-3)^2 + (1- -3)^2)
W = sqrt((-1)^2 + 4^2)
W = sqrt(1 + 16)
W = sqrt(17)
And the area is length * width, so:
2*sqrt(17)*sqrt(17) = 2 * 17 = 34
And the total area is the sum of the areas, so
34 + 6 = 40
So the area of the figure is 40 square units.
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a random sample of medical files is used to estimate the proportion p of all people who have blood type b. if you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.04 from p?
To determine the number of medical files needed for a random sample, we can use the formula:n = (z^2 * p * (1-p)) / (d^2)where:- n = sample size,- z = z-score for the desired level of confidence (in this case, 2.58 for 99% confidence),
- p = preliminary estimate for the proportion (since we have no preliminary estimate, we will use 0.5 as a conservative estimate),- 1-p = the complement of p,- d = the desired distance from the point estimate to p (in this case, 0.04)
To determine the required sample size for estimating the proportion p of all people with blood type B, we will use the formula for sample size estimation in a proportion study:
n = (Z^2 * p * (1-p)) / E^2
Where:
n = required sample size
Z = Z-score for the desired confidence level (in this case, 99%)
p = proportion (preliminary estimate of blood type B)
E = margin of error (the distance from the point estimate, 0.04 in this case)
Since there's no preliminary estimate for p, we'll assume the highest variability, which occurs when p = 0.5. For a 99% confidence level, the Z-score is 2.576.
Now we can plug in the values and calculate the sample size:
n = (2.576^2 * 0.5 * (1-0.5)) / 0.04^2
n ≈ 1067.1
Since the sample size must be a whole number, we round up to the nearest whole number. Therefore, you should include 1068 medical files in your random sample to be 99% sure that the point estimate will be within a distance of 0.04 from the true proportion p of people with blood type B.
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Which of the following is a set in correct set notation?(1,2,3){4,5,6} the letters of the alphabet 7,8,9
Answer: {4,5,6}
Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.
In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.
Justin’s doctor said that the expression StartFraction x + y + 5 over 2 EndFraction, where x and y are his parents’ current heights in inches, gives an estimate of how tall Justin will be as an adult. Justin’s work evaluating the formula is shown below.
Mom’s height = 54 inches
Dad’s height = 71 inches
StartFraction 71 + 54 + 5 over 2 EndFraction = 71 + 27 + 5 = 103 inches
What error did Justin make?
He should have made x equal 54 and y equal 71.
He should have added the values in the numerator before dividing by 2.
He should have divided the 71 by 2 instead of the 27.
He should have made the numerator 76 + 59.
Mark this and return
Step-by-step explanation:
He should have added the values in the numerator before dividing by 2.
In the figure above, AP and CQ are tangents to the circle.
If ∠ABC = 60° and ∠BAP = 40°, find ∠BCQ.
Answer:
30
Step-by-step explanation:
You take a protractor and put at c then you measure
After waiting 45 minutes in line, you get on the GOTG ride. Instead of sitting, you prefer to stand on your bathroom scale. When you last checked, you weighed 150lbs. The ride accelerates upwards at 3.0m/s^2. What does the scale show at that moment? The ride accelerates downwards at 3.0m/s^2. What does the scale show at that moment? The ride moves at a constant velocity. What does the scale show at that moment?
When the ride accelerates upwards at 3.0 m/s², the scale will show a weight greater than 150 lbs. When the ride accelerates downwards at 3.0 m/s², the scale will show a weight less than 150 lbs. When the ride moves at a constant velocity, the scale will show a weight of 150 lbs.
When the ride accelerates upwards at 3.0 m/s², the scale will show a weight greater than 150 lbs. This is due to the additional force exerted on your body as the ride pushes you upwards. The scale measures the normal force acting on you, which is equal to your weight plus the additional force from the acceleration. As a result, the scale will display a weight higher than your actual weight of 150 lbs.
On the other hand, when the ride accelerates downwards at 3.0 m/s², the scale will show a weight less than 150 lbs. In this case, the acceleration is in the opposite direction to the gravitational force, causing a decrease in the normal force. The scale measures the normal force, which is equal to your weight minus the force due to acceleration. Therefore, the scale will display a weight lower than 150 lbs.
When the ride moves at a constant velocity, the scale will show a weight of 150 lbs. At constant velocity, there is no acceleration acting on your body. The scale measures the normal force, which is equal to your weight. Since there are no additional forces from acceleration, the scale will display your actual weight of 150 lbs.
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write the expression into standard form a + bi calculator
To convert an expression into standard form a + bi, you separate the real and imaginary parts and combine them using the appropriate operators.
To write an expression into standard form, a + bi form, you need to separate the real and imaginary components of the expression and combine them using the appropriate notation.
In a + bi form, 'a' represents the real part of the expression, and 'b' represents the imaginary part.
Let's say we have an expression in the form x + yi, where 'x' is the real part and 'y' is the imaginary part.
To convert this expression into standard form, you need to perform the following steps:
Separate the real and imaginary parts of the expression.
Write the real part first, followed by the imaginary part with 'i'.
Combine the real and imaginary parts using the appropriate operators (+ or -).
Let's take an example to illustrate this process:
Suppose we have the expression 3 + 2i.
Here, '3' is the real part, and '2' is the imaginary part.
To convert it into standard form, we write it as 3 + 2i.
Similarly, if we have the expression -5 - 4i, where '-5' is the real part and '-4' is the imaginary part, we write it as -5 - 4i.
In both cases, the expressions are in standard form, a + bi.
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If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please
Answer:
I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah
Step-by-step explanation:
hope this helps and also hope my brother can help byyyyyeeeee
what is wrong with the equation?
Answer:
I think X=3
Step-by-step explanation:
When adding fractions you have to find a common denominator, the easiest way is to use the other number for it. So with \(\frac{x}{2}\) you would multiply the top and bottom by 6, and with \(\frac{x}{6}\) you would multiply both the top and bottom by 2. You should then have \(\frac{6x}{12}\)+\(\frac{2x}{12}\). You add the tops together which will leave you with 8x and the bottom stays the same. Then you multiply the the 2 by the 12, and when doing this the 12 will cancel out. leaving you with 8x= 24. Finally you divide 24 by 8 and X is 3.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
Complete the table of inputs and outputs for the given function.
g(x) = -4. – 19(1) = -41 - 1
WILL GIVE 50 POINTS PLEASE HELP ASAP
The complete inputs and outputs for the given function are
x g(x)
-2 7
0 -1
-2 13
-1 3
Determining the value of a functionFrom the question, we are to determine the value of the given boxes
The given function is,
g(x) = -4x -1
For the first box, we are to determine the value of x for which g(x) = 7
From the given function,
g(x) = -4x -1
Put g(x) = 7
Then,
7 = -4x - 1
7 + 1 = -4x
8 = -4x
∴ x = 8/ -4
x = -2
The value of x in the first box is -2
For the second box, we are to determine the value of g(x), for x = 0
g(0) = -4(0) -1
g(0) = 0 - 1
g(0) = -1
The value of g(x) in the second box is -1
For the third box, we are to determine the value of x for which g(x) = -13
-13 = -4(x) -1
-13 = -4x - 1
-13 + 1 = -4x
-12 = -4x
∴ x = -12/ -4
x = 3
The value of x in the third box is -2
For the fourth box, we are to determine the value of g(x), for x = -1
g(-1) = -4(-1) -1
g(-1) = 4 - 1
g(-1) = 3
The value of g(x) in the fourth box is 3
Hence, the complete inputs and outputs for the given function are
x g(x)
-2 7
0 -1
-2 13
-1 3
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what is the length and width of a basketball court
The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).
A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:
The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.
The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.
These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.
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you need to paint office 143. if one gallon of paint covers 50 sf, how many gallons of pant will you need?
To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.
Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.
Let's assume the square footage of office 143 is 800 square feet.
Number of gallons needed = Square footage / Coverage rate per gallon
Number of gallons needed = 800 square feet / 50 square feet per gallon
Number of gallons needed = 16 gallons
Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.
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