the weight of 65 books is 13 kg what is the weight of 80 Such books
Simply the expression
Answer:
12+27a
Step-by-step explanation:
3(4+9a)=3(4)+3(9a)=12+27a
Jason bought pecans in bulk at the grocery store. He paid $19.20 for
2 pounds
pounds of pecans.
How much did Jason pay per ounce? (1 pound = 16 ounces)
A
$0.48 per ounce
B
$0.59 per ounce
С
$1.20 per ounce
D
$3.00 per ounce
Answer:
0.59 cents
Step-by-step explanation:
To find how much he paid for 1 pound, you divide $19.20 by 2 = $9.60
Then you divide $9.60 by 16(ounces) = $0.59 cents (or $.0.60, rounded, but is closest to that answer)
The price Jason pay for 1 ounce is $9.60.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
price for 2 pounds of pecans = $19.20
So, the price for 1 pounds of pecans = 19.20 / 2
= 9.60
Hence, Jason have to pay $9.60 for 1 pounds.
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54% of Ms. Hinojosa's students are girls,
If she has a total of 62 female students
approximately how many total students
does she have?
A. 115 students B. 124 students
C. 33 students D. 116 students
Answer:
A.115 students I think
Step-by-step explanation:
To get from 54 percent to 100 percent, we have to first divide by 54 to get 1 percent and then times 100 to get 100 percent. Since this is an equivalent ratios problem, we do the same thing to the other side, divide 62 by 54 and then times by 100. We should get 114.814815 which we can round up to 115. Hopefully that helps you.
Find the surface area of a square pyramid with side length 3 m and slant height 5 m.
Information provided with us:
Side length ( a ) = 3mSlant height ( l ) = 5mⳘ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ :
Surface area of square pyramid is given by the sum of areas of all its 4 triangular sides and the square base area. If a is the base side length and l is the slant height , then the surface area of square pyramid is:
ㅤㅤㅤㅤㅤ➙ a² + 2al
Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:
ㅤㅤㅤ➙ A = a² + 2al
ㅤㅤㅤ➙ A = ( 3 ) ² + 2 × 3 × 5
ㅤㅤㅤ➙ A = 9 + 30
ㅤㅤㅤ➙ A = 39m²
~Hence, the surface area of given square pyramid is 39 m².
Answer:
39 m²
Step-by-step explanation:
surface area of square based pyramid = \(a^2+2al\)
(where \(a\) is the side length of the base and \(l\) is the slant height)
Given:
\(a=3\)\(l=5\)⇒ SA = 3² + (2 x 3 x 5) = 39 m²
5=9-2x
plz show your work thanks.
Answer:
x = 2
Step-by-step explanation:
5 = 9 - 2x
=> 9 - 2x = 5
=> - 2x = 5 - 9
=> - 2x = -4
=> x = -4/-2
=> x = 2
Answer:
x=2
Step-by-step explanation:
5=9-2x swap sides so that all variable terms are on the left hand side
9-2x=5 subtract 9 from both sides
2x=-4 divide both sides by -2
x=-4/-2 divide -4 by -2 to get 2
x=2
PLEASE HELPansnnshejsebiednejdndhdndjbdrurndirnfjg
Answer:
C. Point S
Step-by-step explanation:
A Bernoulli differential equation is one of the form dx
dy
+P(x)y=Q(x)y n
Observe that, if n=0 or 1 , the Bernoulli equation is linear. For other values of n, the substitution u=y 1−n
transforms the Bernoulli equation into the linear equation dx
du
+(1−n)P(x)u=(1−n)Q(x). Use an appropriate substitution to solve the equation y ′
− x
2
y= x 3
y 3
and find the solution that satisfies y(1)=1.
The solution to the equation y' - x^2 * y = x^3 * y^3, which satisfies y(1) = 1, can be found by substituting back u = y^(1-n).
Once we solve for u(x), we can find y(x) by taking y = u^(1/(1-n)).
To solve the Bernoulli differential equation: y' - x^2 * y = x^3 * y^3, we can use the substitution u = y^(1-n).
Given equation: y' - x^2 * y = x^3 * y^3
Let's find the value of n:
In our case, n = 3, which is not 0 or 1. Therefore, we can proceed with the substitution.
Substitute y^(1-n) = u into the equation:
(1 - n) * y^(-n) * y' - x^2 * y = x^3 * y^3
Differentiate both sides with respect to x:
(1 - n) * (-n) * y^(-n-1) * y' + y^(-n) * y'' - 2x * y - x^2 * y' = 3x^2 * y^2 * y' + 3x^3 * y^3 * y'
Simplify and rearrange the terms:
(-n) * (1 - n) * y^(-n-1) * y' + y^(-n) * y'' - 2x * y - x^2 * y' = 3x^2 * y^2 * y' + 3x^3 * y^3 * y'
Multiply through by -1:
n * (n - 1) * y^(-n-1) * y' - y^(-n) * y'' + 2x * y + x^2 * y' = -3x^2 * y^2 * y' - 3x^3 * y^3 * y'
Rearrange the terms to isolate the y' and y'' terms:
n * (n - 1) * y^(-n-1) * y' + 3x^2 * y^2 * y' = - y^(-n) * y'' - 2x * y - x^2 * y' - 3x^3 * y^3 * y'
Now substitute u = y^(1-n):
n * (n - 1) * u' + 3x^2 * u = - u'' - 2x * u^(1/(n-1)) - x^2 * (1 - n) * u'
Simplify the equation:
n * (n - 1) * u' + 3x^2 * u = - u'' - 2x * u^(1/(n-1)) + x^2 * (n - 1) * u'
Rearrange the terms:
u'' + (n - 1) * u' + 2x * u^(1/(n-1)) - (n - 1) * x^2 * u = - n * (n - 1) * u' - 3x^2 * u
Now we have a linear differential equation in terms of u. We can solve this equation using standard methods.
The solution to the equation y' - x^2 * y = x^3 * y^3, which satisfies y(1) = 1, can be found by substituting back u = y^(1-n).
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What is 3 1/2 - 7 1/10
Answer: -3 6/10 = 3 3/5
Step-by-step explanation: Rewriting our equation with parts separated
=3+12−7−110
=
3
+
1
2
−
7
−
1
10
Solving the whole number parts
3−7=−4
3
−
7
=
−
4
Solving the fraction parts
12−110=?
1
2
−
1
10
=
?
Find the LCD of 1/2 and 1/10 and rewrite to solve with the equivalent fractions.
LCD = 10
510−110=410
5
10
−
1
10
=
4
10
Reducing the fraction part, 4/10,
410=25
4
10
=
2
5
Combining the whole and fraction parts
−4+25=−335
Given f(x)=14(x+5)2−3, identify the name of the parent function and describe how the graph is transformed from the parent function.
A.
Quadratic Function with a vertical stretch, translated right 5 units and down 3 units
B.
Linear Function with a vertical compression, translated right 5 units and down 3 units
C.
Quadratic Function with a vertical compression, translated left 5 units and down 3 units
D.
Linear Function with a vertical compression, translated left 3 units and up 5 unitsWhat are the solutions to the quadratic equation 5x2−8=−12x ?
Answer:
its c
Step-by-step explanation:
Answer:
i dont get it
Step-by-step explanation:
❗️URGERNT❗️
I will give brainliest if your response comes with an explanation.
During a heavy rainstorm, a city in Florida received
12 1/4 inches of rain in 25 1/2 hours. What is the approximate rainfall rate in inches per hour?
Answer: 0.48 in
Step-by-step explanation:
The problem asks for unit rate. To solve, let's convert the fractions to decimals.
\(12\frac{1}{4} =\frac{49}{4} =12.25\)
\(25\frac{1}{2}=\frac{51}{2}=25.5\)
Now that they are in decimals, we can set up a proportion.
\(\frac{12.25 in}{25.5 hrs} =\frac{x}{1 hr}\) [cross multiply]
\(12.25=25.5x\) [divide both sides by 25.5]
\(x=0.48\)
Now, we know that there was approximately 0.48 in of rainfall per hour.
8+1/2(12)=x
Solve please
Answer:
8+ 1/2 (12) = x
8+ 6 = x
Therefore x = 14
Answer:
The answer is X = 14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Flip the equation.
what part of the coordinate plane is equidistant from the points a(-3 2) and b(3 2)
The part of the coordinate plane that is equidistant from the points A(-3, 2) and B(3, 2) is the horizontal line with a y-coordinate of 2.
The points A(-3, 2) and B(3, 2) have the same y-coordinate, which means they lie on a horizontal line. The midpoint of the line segment AB will also lie on this line.
To find the midpoint, we can average the x-coordinates and the y-coordinates of the two points.
The x-coordinate of the midpoint is (-3 + 3) / 2 = 0 / 2 = 0.
The y-coordinate of the midpoint is (2 + 2) / 2 = 4 / 2 = 2.
Therefore, the midpoint of AB is (0, 2).
Since the midpoint lies on the same horizontal line as the points A and B, any point on this line will be equidistant from A and B. This line is parallel to the x-axis and has a y-coordinate of 2.
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What is the quotient of three and two thirds divided by 3 fifths?
quotient = the answer to a division problem
ex. 6/3 = 2The quotient of 6 and 3 is 2.To divide by a fraction, multiply by the reciprocal of the fraction
reciprocal of a fraction = the numerator and denominator are reversed
Solving the QuestionFirst, convert "three and two thirds" into an improper fraction:
\(3\dfrac{2}{3}\)
⇒ Multiply the whole number by the denominator and add the numerator:
\(\dfrac{11}{3}\)
Now, we want to divide this number by three fifths:
\(\dfrac{11}{3}\div\dfrac{3}{5}\)
⇒ Dividing by a fraction is the same as multiplying by its reciprocal:
\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)
Answer\(\dfrac{55}{9}\)
theannswer wold be 100 .33 .87
what is the probability of flipping a coin three times and having them all land "heads" up?
Answer:
1/8 or 0.125 or 12.5%---------------------------
The probability of flipping a coin and having it land "heads" up is 1/2.
Since each coin flip is independent, the probability of getting three heads in a row is the product of the individual probabilities.
Therefore, the probability of flipping a coin three times and having them all land "heads" up is:
(1/2) x (1/2) x (1/2) = 1/8 or 0.125 or 12.5% I really need help please
Fill in this outcome (sample space) for this table showing the roll of a 6 sided dice and then the toss of a coin Coin Toss heads Tails Dice Roll What is P(4, T) What is P(odd, H)
Answer:
Benidorm quiz
1. Where is Benidorm holiday resort located?
JORDAN
2. What is the average temperature of Benidorm in summer?
26 C
3. Before 1950s Benidorm was a small ___FISHING______ village.
4. Why did the town council encourage tourism in Benidorm?
TO VISIT BENIDORM
5. How many hotels were found in Benidorm in 1959?
6. Explain package holidays as they were used in Benidorm
7. Give three reasons why Benidorm is an excellent tourist resort
(a)
(b)
©
8. State four tourist attractions at Benidorm
Step-by-step explanation:
Benidorm quiz
1. Where is Benidorm holiday resort located?
JORDAN
2. What is the average temperature of Benidorm in summer?
26 C
3. Before 1950s Benidorm was a small ___FISHING______ village.
4. Why did the town council encourage tourism in Benidorm?
TO VISIT BENIDORM
5. How many hotels were found in Benidorm in 1959?
6. Explain package holidays as they were used in Benidorm
7. Give three reasons why Benidorm is an excellent tourist resort
(a)
(b)
©
8. State four tourist attractions at Benidorm
what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
The slope is -8. The point
(3, 12) lies on the line. What is the equation for each linear
What do the center and the scale factor need to be in order to transform ACE to triangle ABD?
A shape must cross a line in order to be reflected.
Because a reflection across BA will map ABC to ABD, the true statement is (c).
What is transformation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. An illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape.
here, we have,
Sides AC and AD of both triangles are congruent
Sides BD and BC of both triangles are congruent
The triangles share a common side AB
This means that a reflection over line AB will map both triangles.
Hence, the true statement is (c)
The complete question is given below.
Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?
yes, because a translation to the right will map ΔABC to ΔABD
yes, because a rotation about point B will map ΔABC to ΔABD
yes, because a reflection across BA will map ΔABC to ΔABD
no, because no rigid transformation will map ΔABC to ΔABD
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which shape has 4 square
Answer:
it is indeed the square
Step-by-step explanation:
Answer:
ummmm a triangle?
Step-by-step explanation:
LIke i dont know, kinda reminds me of my x never knew how to- never mind. Like just put traingle or whatever
If the distribution of observations were perfectly symmetrical and unimodal,
A the mean would be greater than the mode
B the mean, median mode would be the same
C the mode would be lesser than the median
D the median would be greater than the mean
If the distribution of observations were perfectly symmetrical and unimodal, option B) The mean, median, and mode would be the same.
In a perfectly symmetrical and unimodal distribution, the mean, median, and mode would be equal. This is because in such a distribution, the data would be evenly spread around a central value. The mean is calculated by summing all the observations and dividing by the total number of observations. Since the distribution is symmetrical, the sum of the observations on one side of the central value would be equal to the sum on the other side, resulting in a balanced mean.
The median is the middle value when the observations are arranged in ascending or descending order. In a symmetrical distribution, the middle value would be the same as the central value, leading to the median being equal to the mean.
The mode represents the value that appears most frequently in the distribution. In a perfectly symmetrical and unimodal distribution, all values would occur with the same frequency, resulting in multiple modes. However, since the distribution is unimodal, meaning it has only one peak, all the modes would coincide, and the mode would also be equal to the mean and median. Therefore, in a perfectly symmetrical and unimodal distribution, the mean, median, and mode would all be the same value, leading to answer B) The mean, median, and mode would be the same.
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Assuming that someone is asked to write a code (i.e., program) for nonlinear problem using least square adjustment technique, what would be your advice for this person to terminate the program?
This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.
When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.
One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.
Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.
Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.
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f=
4m + 3
m – 1
make m the subject
Answer:
m = \(\frac{f+1}{7}\)
Step-by-step explanation:
f = 4m + 3m -1
f = 7m - 1
Adding 1 to both sides
f+1 = 7m
Dividing both sides by 7
m = \(\frac{f+1}{7}\)
Answer:
m= (f+3)/(f-4)
Step-by-step explanation:
It is not clear from the question, but I assume it is:
f= (4m+3)/(m-1)so the solution is:
f= (4m+3)/(m-1)f(m-1)=4m+3fm-f= 4m+3fm- 4m= f+3m(f-4)= f+3m= (f+3)/(f-4)1. Write each of the following as a sum or a difference of logarithms
a. log(19/20)
b. log9(3 x 8)
2. Each of the following has an error. Identify the error and explain why its wrong
a. log56 + log37 = log542
b. 3 log216 = log2163
= 43
= 64
3. Use the laws of logarithms to simplify the expression S = 10 logl1 - 10logI0
The sum or a difference of logarithms are: a)= log-1 (b) log₉11 2) a) log2072 (b) log10077696 (3) s= 1
What is the sum and difference of logarithm?The logarithm of a product is the sum of the logarithms of the factors being multiplied, while the logarithm of the ratio or quotient of two numbers is the difference of the logarithms. To write the sum or difference of logarithms as a single logarithm, one can use the addition rule, the multiplication rule of logarithm, or the third rule of logarithms that deals with exponents.
the given logarithms are
a. log(19/20)
Applying the law of logarithm to get
log(19-20)
= log-1
b. log9(3 x 8)
log₉3 + log₉8
log ₉(3+8)
= log₉11
2 The logarithm that has error include
a. log56 + log37 = log542
The logarithm is wrong
Applying the law of multiplication we have
log(56*37)
= log2072
b. 3 log216 = log2163
This logarithm is wrong because applying the power law of logarithm
log216³ = log10077696
3) S = 10 logl1 - 10logI0
Using the low of logarithm we have
s= log11¹⁰/log10¹⁰
log(11/10)¹⁰⁺¹⁰
log(1.1)⁰
Any number raised to power zero is 1
therefore s= 1
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A music store receives shipments of recorders and harmonics. A shipment of 5
recorder and 4 harmonics costs $62. A shipment of 10 recorders and 3 harmonicas
costs $84. Find the cost of a recorder and a harmonica.
Answer:
Recorders= $6
Harmonics= $8
Step-by-step explanation:
The number of candies in a large bag of M&M decreased by 25% between
last year and this year. Last year there were 60 pieces of candy inside each
of these bags. What is the candies inside the bag this year?
Answer:
the answer is 45 candies in the bag this year.
Step-by-step explanation:
60×.25=15
60-15=45
Farmer Garrett has 2400 ft. of fencing to build a rectangular fence for his cattle. He must separate the bulls from the cows by a divider. What is the maximum area he could enclose in the corral
According to the question The maximum area that Farmer Garrett can enclose in the corral is:
\(\[A = L \cdot W = 600 \cdot 300 = 180,000 \text{ square feet}.\]\)
Let's assume the length of each half of the corral is \(\(L\)\) feet. Since the divider runs parallel to the shorter sides, it does not contribute to the perimeter.
The perimeter of each half of the corral is equal to the sum of the length and two times the width. So, the perimeter of each half is:
\(\[P = L + 2W\]\)
Since Farmer Garrett has a total of 2400 ft. of fencing, the total perimeter of the corral is \(\(2P: 2P = 2400\)\). Dividing both sides by 2, we get:
\(\[P = 1200\]\)
Now, we can express the width \(\(W\)\) in terms of the length \(\(L\)\):
\(\[W = \frac{{P - L}}{2}\]\)
Substituting the value of \(\(P\)\), we have:
\(\[W = \frac{{1200 - L}}{2}\]\)
The area \(\(A\)\) of each half of the corral is given by:
\(\[A = L \cdot W\]\)
Substituting the value of \(\(W\)\), we get:
\(\[A = L \cdot \left(\frac{{1200 - L}}{2}\right)\]\)
To find the maximum area, we need to find the value of \(\(L\)\) that maximizes the area \(\(A\)\). We can do this by taking the derivative of \(\(A\)\) with respect to \(\(L\)\), setting it equal to zero, and solving for \(\(L\).\)
\(\(\frac{{dA}}{{dL}} = \frac{{1200 - 2L}}{2}\)\)
Setting \(\(\frac{{dA}}{{dL}} = 0\)\), we have:
\(\[1200 - 2L = 0\]\)
\(\[2L = 1200\]\)
\(\[L = 600\]\)
Now we can calculate the corresponding width \(\(W\):\)\(\[W = \frac{{1200 - L}}{2} = \frac{{1200 - 600}}{2} = \frac{{600}}{2} = 300\]\)
Therefore, the maximum area that Farmer Garrett can enclose in the corral is \(\[A = L \cdot W = 600 \cdot 300 = 180,000 \text{ square feet}.\]\)
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8x-12=-8x-12
What is the answer to this equation
Answer:
Any value for x will always be true
Step-by-step explanation:
Step 1: Add 8x to both sides
Step 2: Add 12 to both sides.
Step 3: Divide both sides by 16.
x=0 (Any value)
solve each equation. check your solution.
-27 + 15x = 33 - 9x
Answer:
x = 5/2
Step-by-step explanation:
Answer:
x=2.5
Step-by-step explanation:
15x + 9x = 33 + 27
24x = 60
x = 60 ÷ 24
x = 5/2 = 2.5
A bag of 11 marbles contains 5 marbles with red on them, 4 with blue on them 5with green on themand 3 with red and green on them What is the probability that a randomly chosen marble has either green or red on it? Note that these events are not mutually exclusive Express your answer as a fraction in lowest terms or a decimal rounded to the nearest
Explanation:
Step-by-step explanation:
Let's denote the events as follows:
R = a red marble is chosen
G = a green marble is chosen
The information provided is:
\(\begin{gathered} n(R)=5 \\ n(G)=5 \\ n(R\cap G)=3 \end{gathered}\)Total number of marbles in the bag is,
\(n(S)=11\)The probability of an event E is:
\(\begin{gathered} Pr(E)=\frac{n(E)}{n(S)} \\ Pr(R\cup G)=Pr(R)+Pr(G)-Pr(R\cap G) \\ Pr(R\cup G)=\frac{5}{11}+\frac{5}{11}-\frac{3}{11} \\ Pr(R\cup G)=\frac{7}{11} \end{gathered}\)Hence,
The final answer is
\(\frac{7}{11}\)