Hey there!
b(9 - c) / a^2
= 6(9 - 8) / 4^2
= 6(1) / 4^2
= 6/4 * 4
= 6/16
= 6 ÷ 2 / 16 ÷ 2
= 3/8
Therefore, your answer should be:
3/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Margot purchased 13.5 cups of almond flour to make gluten-free muffins. each batch of muffins requires 3 1/2 cups of flour plus another 1/5 cup to coat the pan. how many batches of muffins can margot make?
Answer:
I don't know
Step-by-step explanation:
I don't know
Solve using linear systems 2x-8y=10
X = 4y-5
The solution for the given linear equation as required in the task content is such that they have no solution.
What is the solution of the given linear systems?It follows from the task content that the solution of the given linear systems is to be determined.
The solution can be evaluated by first expressing each of the equations in slope intercept form so that we have;
y = (1/4)x - 5/4
y = (1/4)x + 5/4.
By observation, it follows that the slopes of the equations are equal and the y-intercepts are different.
Hence, the system represents parallel lines and the system has no solution.
Read more on linear systems;
https://brainly.com/question/11152237
#SPJ1
The system of equations has no solutions.
How to solve this system of equations?Here we have the system:
2x - 8y = 10
x = 4y - 5
x is already isolated in the second equation, so we can replace that in the first one, then we will get:
2*(4y - 5) - 8y = 10
8y - 10 - 8y = 10
-10 = 10
That is false, thus, the system of equations has no solutions.
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
if a circle is centered at the vertex of the angle, then the arc subtended by the angle's rays is times as long as 1/360th of the circumference of the circle. a circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.03 cm long. what is the length of the arc subtended by the angle's rays?
To find the length of the arc subtended by the angle's rays, we'll use the information given: the circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.03 cm long.
Step 1: Calculate the full circumference.
Since 1/360th of the circumference is 0.03 cm, we can find the full circumference by multiplying 0.03 cm by 360.
Circumference = 0.03 cm * 360 = 10.8 cm
Step 2: Determine the angle subtended by the arc.
In this case, we don't have the specific angle mentioned, so let's assume the angle is θ degrees.
Step 3: Calculate the length of the arc subtended by the angle's rays.
To find the length of the arc, we will use the formula:
Arc length = (θ/360) * Circumference
Since we don't have the exact value for θ, the answer will be in terms of θ:
Arc length = (θ/360) * 10.8 cm
To learn more about Circumference : brainly.com/question/2875734
#SPJ11
what is the squair root of 9/49
Answer:
3/7
Step-by-step explanation:
To find the square root of a fraction, find the square root of the numerator and denominator individually
So, √9 = 3
√49 = 7
Put them back as a fraction = 3/7
Hope this helps
Please mark brainiest
Answer:
3/7
Step-by-step explanation:
We want to find the square root of 9/49.
Remember that when we take the square root of a fraction, it's equal to taking the square root of each of the numerator and denominator.
Let's split this up into the numerator and denominator:
Numerator:
The numerator is 9, and we know that the square root of 9 is 3. This is because 3 * 3 = 9.
Denominator:
The denominator is 49, and we know the square root of 49 is 7 because 7 * 7 = 49.
Thus, we have:
\(\sqrt{\frac{9}{49} } =\frac{\sqrt{9} }{\sqrt{49} } =3/7\)
The answer is hence 3/7.
~ an aesthetics lover
At Mathville Middle School, there were 50 students and 50 lockers. Each year for Pi Day (March 14), the students lined up in alphabetical order and performed the following strange ritual. The first student opened every locker. The second student went to every second locker and closed it. The third student went to every third locker and changed it (i.e. if the locker was open, the student closed it; if the locker was closed, the student opened it). In a similar manner, the fourth, fifth, sixth, . . . student changed every fourth, fifth, sixth, . . . locker. After all 50 students had passed by the lockers, which lockers were left open?
PLZZZZ help me T^T
Step-by-step explanation:
This problem is a bit tedious to work out all at once. The first student opens every locker so lockers 1 to 50 are open.
The second student closes every two lockers so every even locker is closed while every odd locker is open. This will repeat over and over and will take too long.
An alternative for this would be checking the factors of each number. For example, 4 has three unique factors, which are 1, 2 and 4. The number of unique factors determine whether the locker is open or closed. In this case, locker 4 will be open after all 50 students finished. Student 1 opens locker 4, student 2 closes locker 4, student 3 doesn't change locker 4 and student 4 opens locker 4. However, students 5 to 50 will never change the locker.
I can't help put all of the answers at once but this should help.
What is the answer to the multiple choice
helppp pleaseee!!!!!
Answer:
d
Step-by-step explanation:
im pretty sure sorry if i get it wrong :(
Step-by-step explanation:
\(uzgunum \: \: sorunu \: anlmdım\)
randomly selected students were asked whether they preferred vanilla ice cream or chocolate ice cream. 58% of the students said they preferred vanilla ice cream with a 5% margin of error. how many students were surveyed?
163.79 students were surveyed.
The survey asked randomly selected students whether they preferred vanilla ice cream or chocolate ice cream. 58% of the students said they preferred vanilla ice cream, with a 5% margin of error. To calculate the total number of students surveyed, we can use the following formula:
Number of Students Surveyed = (100 - Margin of Error) ÷ (Percentage that Prefer Vanilla/100)
In this case, we get:
Number of Students Surveyed = (100 - 5) ÷ (58/100)
Number of Students Surveyed = 95 ÷ 0.58
Number of Students Surveyed = 163.79
Therefore, 163.79 students were surveyed.
Learn more about Students Surveyed
brainly.com/question/29079073
#SPJ11
Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jω-axis: [Section: 6.3] P(s) = s^5 + 6s^3 + 5s^2 + 8s + 20
To determine the number of roots of P(s) in the right half-plane, left half-plane, and on the jω-axis, we can use the Routh-Hurwitz stability criterion.
First, we construct the Routh array:
| 1 | 5 | 8 |
| 6 | 5 | 0 |
| -5.6 | 8 |
The first column of the Routh array has all positive elements, indicating that all the roots of the polynomial have positive real parts or are located on the jω-axis. However, the second column has one negative element, indicating that there is one root in the left half-plane.
To determine the number of roots on the jω-axis, we look for the number of sign changes in the first column of the Routh array. In this case, there is one sign change, indicating that there is one root on the jω-axis.
Therefore, the number of roots in the right half-plane is 0, the number of roots in the left half-plane is 1, and the number of roots on the jω-axis is 1.
The Routh array is a tabular method used in control engineering to determine the stability of a linear time-invariant system. It was introduced by Edward John Routh in the 19th century and is a valuable tool in analyzing the roots of a polynomial equation.
To construct a Routh array, the coefficients of the polynomial equation are arranged in a table, starting from the highest order term down to the constant term. The first two rows of the table are then calculated using the coefficients in the polynomial equation as follows:
The first row consists of the coefficients of the even powers of the polynomial.The second row consists of the coefficients of the odd powers of the polynomial.Visit here to learn more about Routh array brainly.com/question/31318894
#SPJ11
7w+8p for w= 4 and p=5
Answer:
68
Step-by-step explanation:
w = 4 ; p = 5
7w + 8p = 7*4 + 8*5
= 28 + 40
= 68
Which formula below belongs to this shape?
Height
Base
length + width
Length times Width
wrong answer
Width/ base
Base times Height
If a vertical line intersect the graph at more than one point , the graph is a ?
Answer:
criminal. Because it doesnt follow the vertical line test, where every x values has one y value.
Step-by-step explanation:
Which of the following statements about JK and JL is true?
T
8
7
6
-5
y
4
3
2
1
-1
J(2,4)
2 3 4 5
L(1,-1)
K(7.8)
6 7 8
The true statement about JK and JL is, JK is longer than JL
What are comparison in math?The process of comparison reveals the shared characteristics of several objects. This is the fundamental idea in mathematics that guides our descriptions of whether two numbers are equal, one is more than, one is less than, or both are equal. Comparing fractions, decimals, and rational numbers are all possible.
The coordinates of the point are:
J (2, 4)
K (7, 8)
L (1, -1)
The distance between two points is given by the formula:
D = √(x2 - x1)² + (y2 - y1)²
The distance between JK is:
JK = √(7 - 2)² + (8 - 4)
JK = √25 + 16 = √41 = 6.40
The distance between JL is:
JL = √(1 - 2)² + (-1 - 4)²
JL = √1 + 25 = √26 = 5.09
Hence, the statement about JK and JL is, JK is longer than JL.
Learn more about comparison operators here:
https://brainly.com/question/30054271
#SPJ1
The complete question is:
the scores on a standardized test are normally distributed with μ=1000 and σ = 250. what score would be necessary to score at the 85th percentile?
we first need to understand what the term percentile means in the context of a standardized test. A percentile is a statistical measure that indicates the percentage of scores that fall below a particular score.
For example, if a student scores in the 85th percentile on a standardized test, it means that their score is higher than 85% of the scores of all the students who took the test.
Given that the scores on a standardized test are normally distributed with a mean (μ) of 1000 and a standard deviation (σ) of 250, we can use the normal distribution formula to find the score necessary to score at the 85th percentile.
The first step is to convert the percentile to a z-score using the z-score formula:
z = (x - μ) / σ
where x is the score we want to find, μ is the mean, and σ is the standard deviation.
To find the z-score for the 85th percentile, we need to find the z-score that corresponds to the area of 0.85 under the standard normal distribution curve. We can look up this value in a standard normal distribution table or use a calculator to get z = 1.04.
Now we can use the z-score formula to solve for x:
1.04 = (x - 1000) / 250
Solving for x, we get:
x = 1.04 * 250 + 1000 = 1260
Therefore, a score of 1260 would be necessary to score at the 85th percentile on this standardized test.
Learn more about percentile here:
https://brainly.com/question/1561673
#SPJ11
Ariane borrows $200 on a 6−year loan. She is charged 5% simple interest per year. How much interest is she charged for 6 years? What is the total amount she has to pay back?
After 6 years, Ariane is charged $
in interest. She pays a total amount of $
.
64 divided by 68
Hold on, our servers are swamped. Wait for your answer to fully load.
1. Mr. and Mrs. Ryan Miller bought a
refrigerator for $1,416. They agreed to
make 12 equal monthly payments. How
much more than $50 will each payment
be?
2. The $1,416 paid by the Millers (problem 1
to buy the refrigerator included an interest
charge of $188. What was the cash cost of
the refrigerator?
The monthly payment more than $50 is $68 and the original price of the refrigerator is $1228
Mr. and Mrs. Ryan Miller bought a refrigerator for $1,416.
They agreed to make 12 equal monthly payments
Monthly payment = 1416 / 12
The monthly payment is $118
more than $50 will each payment be = 118 - 50 = 68
The $1,416 paid by the Miller to buy the refrigerator included an interest charge of $188
The original price is 1416 - 188 = 1228
Therefore, the monthly payment more than $50 is $68 and the original price of the refrigerator is $1228
To learn more about word problem refer here
https://brainly.com/question/13818690
#SPJ9
Han and Clare are stuffing enveloppes. He can stuff 20 enveloppes in one minutes and Clare can stuff 10 enveloppes in one minute. They start working together on a pile of 1000 enveloppes. How long does it take them to finish the pile.
According to the problem, Han and Clare are stuffing envelopes. He can stuff 20 envelopes in one minute and Clare can stuff 10 envelopes in one minute. This means that they can jointly stuff 30 envelopes in one minute.
Now, mathematically we know that the number of time it will take to finish stuffing would be:
\(\frac{number\text{ of envelopes}}{joint\text{ rate}}\text{ =}\frac{1000\text{ envelopes}}{30\text{ envelopes per minute}}\)If we simplify this expression, we get:
\(\frac{100\text{ envelopes}}{3\text{ envelopes per minute}}\)this can be written as:
\(33\text{ + }\frac{1}{3}\text{ minutes}\)this is true since:
\(33\text{ + }\frac{1}{3}=\frac{33(3)\text{ + 1}}{3}=\frac{99\text{ + 1}}{3}=\frac{100}{3}\text{ minutes}\)thus, we obtain that it will take them 33 minutes and 20 seconds
Then, we can conclude that the correct answer is:
Answer:33 minutes and 20 seconds
You go to the doctor and he gives you 14 milligrams of radioactive dye. After 16 minutes, 5.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived
Answer:
31.7 min
Step-by-step explanation:
Given that;
N(t) = Noe^kt
No = amount of radioactive isotope initially present
N(t) = amount of radioactive isotope present at time t
t = time taken
k = decay constant
5.25 = 14e^-k16
5.25/14 = e^-k16
0.375 = e^=k16
ln(0.375) = =-16k
k = ln(0.375)/-16
k = 0.0613 min^-1
So time taken for 2 mg to remain;
2 = 14e^-0.0613t
2/14 = e^-0.0613t
0.1429 = e^-0.0613t
ln(0.1429) = -0.0613t
t = ln(0.1429)/-0.0613
t = 31.7 min
A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $15 per acre. Seed for crop B costs $30 per acre. The farmer can spend at most $900 on seed. If crop B brings in a profit of $50 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit? acres of crop A acres of crop B
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of acre on which crop A is farmed and B represent the number of acre crop B is farmed.
Therefore:
Since there is a total of 40 acre farm, hence:
x + y = 40 (1)
The farmer can spend at most $900 on seed, crop A seed cost $15 and crop B seed cost $50, hence:
15x + 50y ≤ 900 (2)
Her profit is given as:
Profit = 50x + 110y
From the geogebra plot, the point that maximizes the profit is at (60, 0)
Therefore the maximum profit = 50(60) + 110(0) = $3000
Kaylon shaded the thermometer to represent a temperature of degrees below zero Celsius as shown in the diagram. Is she correct? Therm
Question 5 options:
A: She incorrect because she should have shaded in °
B: She is correct because she shaded a temperature of -°C.
C: She is incorrect because she shaded a temperature of −°.
Using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.
What is logical reasoning?In addition to formal deduction, two more categories of logical thinking are frequently distinguished: induction and abduction.
The following can be explained if one has a precondition or premise, a conclusion or logical consequence, and a rule or material conditional that indicates the conclusion given the precondition.
Mathematical logic and philosophical logic are frequently used to support the claim that "when it rains, objects outside become wet.
The grass is outside, therefore: when it rains, the grass gets wet."
A finding of the rule is supported by inductive reasoning.
So, according to the given, we can easily guess that Kaylon is wrong because the shaded temperature is -°.
Therefore, using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.
Know more about logical reasoning here:
https://brainly.com/question/28418750
#SPJ1
solve the following equation for x 0.5(x-8)=0.2x+11
Answer:
X=50
Step-by-step explanation:
Answer:
10.50 Decimal form
Step-by-step explanation:
Solve the system by elimination
-3x + y = -20
3x - 2y = 19
A: (7,1)
B: (-1,-7)
C: (-7,-1)
D: (1,7)
Given:-
-3x + y = -20 ----- eqⁿ( 1 )
3x - 2y = 19 ----- eqⁿ( 2 )
—————————————————————
Add the eqⁿ ( 1 ) to eqⁿ ( 2 ) ~
-3x + y = -20
3x - 2y = 19
____________
-1y = -1
y = -1/-1
y = 1
—————————————————————
now put the value of y = 1 in eqⁿ ( 2 )
3x - 2y = 19
3x - 2( 1 ) = 19
3x - 2 = 19
3x = 19 + 2
3x = 21
x = 21/3
x = 7
—————————————————————
x = 7 nd y = 1.
Ans :- Option A ) 7 , 1
hope it helps!:)
Which of the following is equivalent to the complex number i^7
Answer:-i
Step-by-step explanation: :)
a casino features a game in which a weighted coin is tossed several times. the table shows the probability of each payout amount (assume that the remaining probability has a payout of 0 so that the probabilities add to 1). to the nearest dollar, what is expected payout of the game?
The expected payout of the game is calculated as E(X) = 164.68
What is the probability?This is the term that is used to refer to the likelihood of an event occurring.
We have to solve for the probability first
The probability of 0
= 1 - the sum of all of the values
= 1 - 0.151 + 0.029 + 0.0007
= 1 - 0.1807
= 0.8193
Next we have to solve for the expected payout
The formula is given as
∑pi * xi
= 0.151 * $180 + 0.029 * $1000 + 0.0007 * 155000 + 0 * 0.8193
= 27.18 + 29 + 108.5 +0
= $164.68
E(X) = 164.68
Read more expected value here: https://brainly.com/question/14723169
#SPJ1
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.
Learn more about conversion here:
https://brainly.com/question/23718955
#SPJ11
Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
To know more about correlation coefficients, visit,
https://brainly.com/question/4219149
#SPJ4
are
b. Graph the line parallel to x = 3 that passes
through (5, -7).
-5--5)
*
Answer:
Step-by-step explanation:
The line should be parallel to \(x = 3\), therefore, it would be a vertical line of the form \(x = a\), where `a` is a parameter representing the constant x value the line would be passing through.
We know that the line passes through (5, -7), a point whos coordinates are \(x = 5\) and \(y = -7\), though the y value has no significance as the line is vertical.
Knowing these details, we know that the line's equation is \(x = 5\), and, therefore, it is a vertical line that passes through \(x = 5\) on the x axis.
what is the value of x? enter your answer in the box. units
The value of x or length of FD int the figure is 75.
image attached below,
EquationAn equation is a mathematical statement that is made up of two expressions connected by an equal sign.
side of triangleIn a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.
This is similarities in sides questions. To solve make equation.
JY = 42
JS = 42 + 63 = 105
JD = 50
JF = 50 + x
Using the sides,
52/105 = 50/50+x
(42)(50+x) = (50)(105)
2100 + 42x = 5250
42x = 5250 - 2100
42x = 3150
x = 3150/42
x = 75.
Learn more about sides and equation here :-
https://brainly.com/question/14709570
#SPJ4
find the value of the the missing angle in grades in each of the following figures.
Answer:
40
Step-by-step explanation:
This last question is confusing please help.
Answer:
Set C.
Step-by-step explanation:
Total number of choices = 3*2 = 6.