The derivative of y with respect to x, we can find the differential of y by multiplying both sides of the equation by dx: dy = (1/√x - 1/2x^(-3/2)) dx
The differential of a function y = f(x) is denoted as dy and represents the change in y for a small change in x, which is denoted as dx. In other words, we can say that:
dy = f'(x) dx
where f'(x) is the derivative of the function f(x) with respect to x.
In this case, we are given the function y = 2√x + 1/√x and asked to find the differential dy. To do so, we'll start by taking the derivative of y with respect to x using the chain rule.
The chain rule states that if y = f(g(x)), then the derivative of y with respect to x is given by:
dy/dx = f'(g(x)) * g'(x)
In our case, we can think of y as the sum of two functions: y = f(x) + g(x), where f(x) = 2√x and g(x) = 1/√x. Using the chain rule, we can find the derivative of each function and add them together to get the derivative of y with respect to x.
Starting with f(x) = 2√x, we can find its derivative as:
d/dx (2√x) = 2 * d/dx (√x) = 2 * (1/2√x) = 1/√x
Next, we'll find the derivative of g(x) = 1/√x as:
d/dx (1/√x) = -1/2x^(-3/2)
(Note the negative sign here, which comes from the chain rule.)
Now we can use the chain rule formula to find the derivative of y with respect to x:
dy/dx = f'(g(x)) * g'(x) = (1/√g(x)) * (-1/2x^(-3/2))
To simplify this expression, we need to substitute g(x) = 1/√x into it
dy/dx = (1/√(1/√x)) * (-1/2x^(-3/2))
= (1/√x) * (-1/2x^(-3/2))
= 1/√x - 1/2x^(-3/2)
(Note that we can write 1/2x^(-3/2) as (1/2)x^3/2, which is equivalent but easier to work with.)
Now that we have the derivative of y with respect to x, we can find the differential of y by multiplying both sides of the equation by dx:
dy = (1/√x - 1/2x^(-3/2)) dx
This expression represents the change in y for a small change in x. We can think of it as an approximation of the actual change in y, since it only takes into account the linear changes in y that occur for small changes in x. However, for sufficiently small changes in x, this approximation becomes more and more accurate, and we can use it to estimate the value of y for different values of x.
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A cell phone company charges by the minute (and partial minute) for making phone calls. Arionna’s plan includes 300 minutes in the $20 monthly base cost. If she uses more than 300 minutes in a month, there is a $5 overage fee and an additional charge of $0.25 per minute. Which graph represents the monthly cost, y, in dollars for making x minutes of calls?
Answer:
The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y = 0.25x- 50; x > 300
How to draw the graph?
When the number of minutes is not more than 300 minutes, the charge is:
y = 20; x <=300
When it is above 300, the function is:
y = 20 + 5 + (x - 300) * 0.25
Open the bracket
y = 20 + 5 + 0.25x - 75
Evaluate the sum
y = 0.25x- 50
So, the piecewise function is:
y = 20; x <=300
y = 0.25x- 50; x > 300
Step-by-step explanation:
The graph that represents the monthly cost, y, in dollars for making x minutes of calls is:
In the graph,
The line starts at y = 20 for x = 0 and then becomes a straight line with a slope of 0.25 for x > 300.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
To graph the monthly cost, we need to consider two cases:
Case 1: If x ≤ 300, then the monthly cost is a constant $20.
Case 2: If x > 300, then the monthly cost is a linear function of x:
Now,
y = 20 + 5 + 0.25(x - 300) = 25 + 0.25x - 75
y = 0.25x - 50
Therefore,
We can graph the monthly cost as follows:
For x ≤ 300, the graph is a horizontal line at y = 20.
For x > 300, the graph is a line with a slope of 0.25 and y-intercept -50.
Thus,
In the graph,
The line starts at y = 20 for x = 0 and then becomes a straight line with a slope of 0.25 for x > 300.
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what is the sum between 6/9 and 3/6
Answer:
21/18 or 1 and 3/18
Step-by-step explanation:
6/9 = 12/18
3/6 = 9/18
12/18 + 9/18 = 21/18 or 1 3/18
Answer:
\( \frac{6}{9} + \frac{3}{6} \\ \\ = \frac{2 \times 6 + 3 \times 3}{18} = \frac{12 + 9}{18} = \frac{21}{18} = \frac{7}{6} = 1 \frac{1}{6} \)Consider the function f(x)={ 4
x
if x<4
if x≥4
Evaluate the definite integral ∫ −3
6
f(x)dx
Therefore, the definite integral of f(x) over the given limits is ∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx= 50 + 8= 58
Hence, the required answer is 58.
We are given a piecewise function and are asked to evaluate its definite integral. The function is defined as:f(x) = {4x if x < 4, if x ≥ 4We need to find the integral of this function over the given limits. Let's evaluate the integral:
∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx
Now, we will evaluate the two integrals one by one:
∫-3 4 f(x) dx = ∫-3 4 4x dx [∵ f(x) = 4x for x < 4]
∫-3 4 f(x) dx = [2x²] from -3 to 4= [2(4)²] - [2(-3)²]∫-3 4 f(x) dx = 32 + 18= 50
Now, let's evaluate the second integral:
∫4 6 f(x) dx = ∫4 6 4 dx [∵ f(x) = 4 for x ≥ 4]∫4 6 f(x) dx = [4x] from 4 to 6= (6 x 4) - (4 x 4)∫4 6 f(x) dx = 8Therefore, the definite integral of f(x) over the given limits is:
∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx= 50 + 8= 58
Hence, the required answer is 58.
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Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
How should the decimal point in 6.8 be moved to determine the product of 6.8 and 100? ()) two places to the left 1)) three places to the right <)) three places to the left ()) two places to the right
The decimal point in 6.8 is moved two places to the right. Option D is correct.
What is decimal value?Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,
Here,
Given expression,
= 6.8 × 100
= 6800.00
Thus, the decimal point in 6.8 is moved two places to the right. Option D is correct.
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At the marget 8 apples cost 4 dollars how much does 9 apples cost
Answer:
8 /4 = 2
answer: each apple cost 2$
Answer:
$4.50.
Step-by-step explanation: Since the market is selling 8 apples for $4, we can determine that one apple is 50 cents. Knowing that information, we can apply that same rule to 9 apples, resulting in a total of $4.50. Hope this answered your question.
If x = 3 (y + 2) minus 1 what is the value of w in terms of x and y?
A.) w = StartFraction x minus 3 y Over 3 EndFraction
B.) w = StartFraction x minus 3 y + 1 Over 3 EndFraction
C.) w = x minus 3 y + 1
D.) w = StartFraction x + 1 Over 9 y EndFraction
Answer:
B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is:
If x = 3 (y + w) -1 what is the value of w in terms of x and y?
A.) w = StartFraction x minus 3 y Over 3 EndFractionB.) w = StartFraction x minus 3 y + 1 Over 3 EndFractionC.) w = x minus 3 y + 1D.) w = StartFraction x + 1 Over 9 y EndFractionWe have an expression:
x = 3 (y + w) -1
To find the value of w in terms of x and y.
By using the distributive property:
x = 3y + 3w - 1
By arranging the equation:
3w = x - 3y + 1
Divide by 3 on both the side:
w = (x - 3y + 1)/3
Thus, the equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.
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The scatter plot below shows the relationship between latitude of cities and their average January temperature. Which is the best estimate of the rate of change for the line of best fit?
Answer:
-2.5
Step-by-step explanation:
it is what it is
The rate of change for the line of best fit = -2.5 degrees
What is rate of change?"The rate at which one quantity is changing with respect to another quantity."
What is the equation of the line passing through two points?"The equation of the line passing through points \((x_1,y_1),(x_2,y_2)\) is \(\frac{y-y_1}{y_2-y_1}= \frac{x-x_1}{x_2-x_1}\)"
For given question,
We have been given a scatter plot and the line of best fit.
We can observe that the line of best fit passes through points (40, 25) and (30, 50)
Let \((x_1,y_1)=(30,50),(x_2,y_2)=(40,25)\)
So, the equation of the line of best fit would be,
\(\Rightarrow \frac{y-50}{25-50}= \frac{x-30}{40-30} \\\\\Rightarrow \frac{y-50}{-25}= \frac{x-30}{40-3010} \\\\\Rightarrow y-50=\frac{-25}{10} (x-30)\\\\\Rightarrow y-50=-2.5x+75\\\\\Rightarrow y=-2.5x+125\)
Here slope of the line is \(m=-2.5\)
We know that the slope is the rate of change for the line of best fit.
Therefore, the rate of change for the line of best fit = -2.5 degrees
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an astronaut outside a spaceship hammers a loose rivet back in place, what happens to the astronaut as he swings the hammer
The astronaut swings the hammer in one direction, an equal and opposite force acts on the astronaut in the opposite direction.
The astronaut swings the hammer to hammer the loose rivet back in place outside the spaceship, they will experience an equal and opposite force known as "reaction force" as described by Newton's Third Law of Motion.
This means that for every action (force) in one direction, there is an equal and opposite reaction (force) in the opposite direction.
The astronaut swings the hammer, they will experience a small amount of recoil or pushback in the opposite direction.
The magnitude of the reaction force will be equal to the force exerted by the hammer on the rivet, but in the opposite direction.
The effect of this recoil on the astronaut will depend on the mass of the astronaut and the force exerted by the hammer.
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The relationship between the cost, y, in dollars, and the feet of steel beam, x, bought can be modeled by the proportional equation y=___x
Answer:
The relationship is
y = 12x
PLZ HELPPPPP!!!!!!!
Answer:
B
Step-by-step explanation:
3x2x3 is 18, then if you take 144/18 that'll get you 8
A regular hexagon has side lengths of 2x and has a perimeter that is equal to an isosceles triangle with legs of x + 4 and a base that is 3 less than one of the legs. Write and solve equation to find the length of one side of the hexagon.
According to the formula, the length of one side of the hexagon is 21/4 or 5.25 units.
What is the perimeter of the regular hexagon?
Let's call the length of one side of the regular hexagon "s". Since a hexagon has six sides, the perimeter of the hexagon is 6s.
According to the problem, this is equal to the perimeter of an isosceles triangle with legs of x+4 and a base that is 3 less than one of the legs.
The perimeter of the isosceles triangle is given by:
perimeter = 2(x+4) + (x+1)
where (x+1) is the length of the base (which is 3 less than one of the legs).
Setting the perimeters equal, we get:
6s = 2(x+4) + (x+1)
6s = 3x + 9
s = (3/2)x + (3/4)
We also know that the side lengths of the hexagon are 2x. Substituting this into the equation for "s", we get:
2x = (3/2)x + (3/4)
x = 3
Therefore, the length of one side of the hexagon is:
s = (3/2)x + (3/4) = (3/2)(3) + (3/4) = 9/2 + 3/4 = 21/4
So the length of one side of the hexagon is 21/4 or 5.25 units.
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Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team?
WRONG ANSWER = REPORTED
Answer:
47/60
Step-by-step explanation:
You want to know the probability of a randomly selected student is on the honor roll or varsity team when 176 of 240 students are on the honor roll, 48 are on the varsity team, and 36 are on both.
One or the otherThe probability of A or B is ...
P(A+B) = P(A) +P(B) - P(A·B)
The probability of interest is ...
P(honor roll + varsity) = P(honor roll) + P(varsity) - P(honor roll & varsity)
P(honor roll + varsity) = 176/240 +48/240 -36/240 = (176 +48 -36)/240
= 188/240 = 47/60
The probability of interest is 47/60.
\(\blue{\huge {\mathrm{PROBABILITY}}}\)
\(\\\)
\({===========================================}\)
\({\underline{\huge \mathbb{Q} {\large \mathrm {UESTION : }}}}\)
Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team?\({===========================================}\)
\( {\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} \)
The probability that a randomly selected student is on the honor roll or is a member of the varsity team is \(\boxed{\bold{\:\dfrac{47}{60}\:}}\)\({===========================================}\)
\({\underline{\huge \mathbb{S} {\large \mathrm {OLUTION : }}}}\)
We can use the inclusion-exclusion principle to find the number of students who are on the honor roll or are members of the varsity team.
This principle states that:
\(\sf |A\cup B| = |A| + |B| − |A\cap B|\)where:
A and B are sets,|A| is the cardinality (number of elements) of set A, andA∩B is the intersection of sets A and B.Using this principle, we can find that:
\(\begin{aligned}\sf |Honors\cup Varsity|& =\sf |Honors| + |Varsity| − |Honors\cap Varsity|\\& =\sf 176 + 48 - 36\\& =\sf\red{188}\end{aligned}\)
Therefore, there are 188 students who are on the honor roll or are members of the varsity team.
The probability that a randomly selected student is on the honor roll or is a member of the varsity team is then:
\(\begin{aligned}\sf P(Honors\cup Varsity)& =\sf \dfrac{|Honors\cup Varsity|}{|Total|} \\ &=\sf \dfrac{188}{240} \\&=\boxed{\bold{\: \dfrac{47}{60}\:}}\end{aligned}\)
Therefore, the probability that a randomly selected student is on the honor roll or is a member of the varsity team is \(\boxed{\bold{\:\dfrac{47}{60}\:}}\)
\({===========================================}\)
\(- \large\sf\copyright \: \large\tt{AriesLaveau}\large\qquad\qquad\qquad\qquad\qquad\qquad\tt 04/02/2023\)
Suppose f(x) = 3x*2 - 2x
Find f(-4)
Answer:
f(- 4) = 56
Step-by-step explanation:
Substitute x = - 4 into f(x) , that is
f(- 4) = 3(- 4)² - 2(- 4) = 3(16) + 8 = 48 + 8 = 56
49 Jessica skated 4 laps in 82 seconds. Which of the following is an equivalent rate of skating??A6 laps in 120 secondsB10 laps in 205 secondsC 6 laps in 130 secondsD10 laps in 215 seconds
ANSWER
B. 10 laps in 205 seconds
EXPLANATION
If we write the rate of laps to seconds as a fraction we have:
\(\frac{4}{82}=\frac{2}{41}\)I simplified the fraction and got 2/41. An equivalent rate must give the same simplified fraction. For option B:
\(\frac{10}{205}=\frac{2}{41}\)We can reduce both rates to the same rate: 2 laps every 41 seconds. Therefore, these two rates are equivalent.
In 2019, the distribution of golfer Lexi Thompson's driving distance had a mean of 276 yards. Assuming that her distribution of
driving distance is approximately normal with an 80th percentile of 290 yards, calculate its standard deviation.
The standard deviation is approximately 16.67 yards.
The standard deviation is a measurement of how much a group of values are spread over an area. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the average value) of the collection.
Standard deviation is calculated from the z-score by using the formula
\(z=\frac{x-\mu}{\rho} \\\) where ,
z is the z-score , x is the data value at that z-score , μ denotes the mean of the data set and σ is the standard deviation.
Given the mean is 276 yards , the data value at the 80th percentile is 290 . By using the z-score tables we find the z-score value to be 0.84 .
Therefore using the above formula we can find the standard deviation.
\(0.84=\frac{290-276}{\rho} \\\\or, \rho=\frac{290-276}{0.84}\\\\or,\rho=16.66...\\\\or,\rho\approx16.67\)
Hence the standard deviation is approximately 16.67 yards.
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Consider the market for cars in a small country. Suppose the demand and supply curves for cars have been estimated and are given by D(p) = 1100 - 50p and S(p) = 200 + 100p where D(p) is the quantity demanded when the price for cars is p, and similarly, S(p) is the quantity supplied at price p. NOTE: In your analysis, consider only the areas with non-negative prices. c) Suppose the government imposes a specific tariff T= $1, that effectively raises the prevailing price in the market to p^ = 5.5. At this price, what is the quantity demanded and the quantity supplied of cars? What are the imports/exports of cars?
When the government imposes a specific tariff of $1, the prevailing price in the market increases to p^ = 5.5. We can use the demand and supply equations to find the quantity demanded and the quantity supplied at this price.
Quantity demanded: D(p) = 1100 - 50p = 1100 - 50(5.5) = 1100 - 275 = 825
Quantity supplied: S(p) = 200 + 100p = 200 + 100(5.5) = 200 + 550 = 750
At the price of p^ = 5.5, the quantity demanded is 825 cars and the quantity supplied is 750 cars. Since the quantity demanded is greater than the quantity supplied, there will be imports of cars. The quantity of imports will be the difference between the quantity demanded and the quantity supplied:
Imports = Quantity demanded - Quantity supplied = 825 - 750 = 75
Therefore, at the price of p^ = 5.5, there will be imports of 75 cars. There will be no exports of cars because the quantity demanded is greater than the quantity supplied.
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write 875 000 000 in standard form
Step-by-step explanation:
8.75×10^8 this is the standard form
642.5 x 20
long divisor
Answer:
i belive its 12850
Step-by-step explanation:
Mr Adi types up a short story.
It takes him 9 minutes to finish typing up the story at an average of 40
words per minute.
Mr Blade also types up the same story.
He takes 12 minutes to type it.
Work out Mr Blade's average number of words per minute.
...... words per minute
The average rate at which Mr. Blade types is 30 words per minute.
Average or mean is a measure of central tendency where it defines the central number of a data set.
Average is calculated by dividing the total sum of the values of the dat set divided by the frequency or the number of data in the set.
Mr. Adi takes 9 minutes.
The average rate of Mr. Adi is 40 words per minute.
So in 9 minutes he writes 40 × 9 = 360 words in total.
Mr. Blade typed the same number of words.
he took 12 minutes to type it.
So average rate = total words typed ÷ time taken (in minutes)
Average rate= 360 ÷ 12 =30 words per minute.
Hence Mr. Blade writes at the average rate of 30 words per minute.
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Solve the quadratic equation numerically (using tables of x- and y-values).
x^2 +
+ 2x + 1 = 0
x = -1 or x = -1
x= -3 or x = -3
b.I x= -4 or x= -3
d. x = 2 or x = -1
a
C.
Please select the best answer from the choices provided
A
B
ОО
The best answer from the choices provide is x = -1 or x = -1
Given the expression
\(x^2 + 2x + 1 = 0\)
Factorizing the given expression
\((x^2 +x)+(x + 1) = 0\\\)
Factor out the common variable from both brackets
\(x(x+1)+1(x+1)=0\\(x+1)(x+1)=0\\x+1 \ and \ x+1=0\\x =0-1 \ and \ x=0-1\\x=-1 \ and \ x =-1\)
Hence the best option is x = -1 or x = -1
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The solutions for \(f(x) = x^{2}+2\cdot x + 1 = 0\) are \(x_{1} = x_{2} = -1\).
We can estimate the roots by a numerical approach, which consists in evaluating the quadratic function (\(f(x) = x^{2}+2\cdot x + 1 = 0\)) for a set of values of \(x\). We consider the set of values between \(-4\le x \le 4\):
\(\,\,\,\,\,\,x \,\,\,\,\,\,\,\,f(x)\\-4\,\,\,\,\,\,\,\,\,\,\,\,9\\-3\,\,\,\,\,\,\,\,\,\,\,\,4\\-2\,\,\,\,\,\,\,\,\,\,\,\,1\\-1\,\,\,\,\,\,\,\,\,\,\,\,0\\.\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\,1\\.\,\,\,1\,\,\,\,\,\,\,\,\,\,\,\,\,4\\.\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,9\\.\,\,\,3\,\,\,\,\,\,\,\,\,\,\,\,\,16\\.\,\,\,4\,\,\,\,\,\,\,\,\,\,\,\,\,25\\\)
According to the previous input, we conclude that roots of the quadratic formula are \(x_{1} = x_{2} = -1\).
The solutions for \(f(x) = x^{2}+2\cdot x + 1 = 0\) are \(x_{1} = x_{2} = -1\).
A grocery store offers 4 different size boxes of peanuts as shown below...
Large: Medium: Small:
{6 3/4 } ( 2 1/4 ) ( 1 1/8)
Write large, medium, or small in each box to make a true statement :
The ________ box is 3 times larger than the ______ box.
The ________ box is 6 times larger than the ______ box.
The ________ box is 2 times larger than the ______ box.
Step-by-step explanation:
large is 3 times larger than medium.
2 1/4 × 3 = 6 3/4
large is 6 times larger than small.
1 1/8 × 6 = 6 6/8 = 6 3/4
medium is 2 times larger than small.
1 1/8 × 2 = 2 2/8 = 2 1/4
What is Van t Hoff law explain?
Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.
Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.
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HELP PLEASE I USED ALL MY POINTS
Solve for x.
3. 5(7-x)+32=106-1. 5(4x+18)
To solve this equation you need to follow the BODMAS rule and also the rules of algebraic expressions as there is an x.
So the equation to be solved is 5(7-x)+32=106-1. 5(4x+18). Here the sign '.' is taken to be multiplication and not decimal, as there is space between '1' and '5'.
Forwarding with the sum: First solve L.H.S. 5(7-x)+32, = 35 - 5x + 32, = 67 - 5x. Now doing R.H.S. 106-1. 5(4x+18), = (105) (20x + 90), = 2100x + 9450.
Now, find the value of x. L.H.S. = R.H.S.
67 - 5x = 2100x + 9450.
-5x - 2100x = 9450 - 67
- 2105x = 9383. So we have the value of x. Where x= 9383+2105. Therefore x= 11488.
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height up to 46 decimeter convert it's height in meters
Answer:
6.5m
Step-by-step explanation:
65/10 = 6.5m
hope u can understand...
Answer:
4.6 meter
Step-by-step explanation:
you can convert decimeter to meter by dividing 10
Farfalla kites owns 3 factories around the globe. In one year, the original factory can make 600 kites, and each of the other factories can make 900 kites. How many kites does Farfalla produce every year
Farfalla produces 2,400 kites every year.
The number of factories Farfalla owns around the globe = 3;
The number of kites produced by original factory every year = 600;
The number of kites produced by each of other 2 factories every year = 900;
Then the total kites produced by both other factories will be = 2 × 900 = 1800;
Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;
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What are the first five multiples 8?
Answer:
Step-by-step explanation:
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80… and so on.
write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3
Answer:
y-1=-3(x+2)
Step-by-step explanation:
Help is much needed. You will get lots of point too!
bert goes to the gym and works out strenuously for about 45 minutes. after his exercise session he weighs himself and notices that he has lost a pound. how much fluid should he drink to rehydrate his body? bert goes to the gym and works out strenuously for about 45 minutes. after his exercise session he weighs himself and notices that he has lost a pound. how much fluid should he drink to rehydrate his body? 3 cups 1 cup 4 cups 2 cups
The answer is either 2 cups or slightly more than 2 cups of fluid to rehydrate himself.
Rehydration:Rehydration means replenishing the fluids and electrolytes lost from the body due to various reasons, such as sweating during exercise, diarrhea, vomiting, fever, etc.
It is important to maintain proper hydration levels to keep the body functioning properly.
Here we have
Bert goes to the gym and works out strenuously for about 45 minutes. after his exercise session, he weighs himself and notices that he has lost a pound.
It is recommended to drink about 16-20 ounces (2-2.5 cups) of fluid for every pound lost during exercise.
Since Bert lost one pound during his workout, he should drink about 16-20 ounces (2-2.5 cups) of fluid to rehydrate his body.
Therefore,
The answer is either 2 cups or slightly more than 2 cups of fluid to rehydrate himself.
Learn more about Rehydration at
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