Answer:
y = 3
Step-by-step explanation:
are you sure that's the right problem?
8. When a force is applied to an object, the object's acceleration (varies inversly with the square
of it's mass. When the force is applied on a mass of 5kg, the acceleration is 4m/s2 If a
similar force is applied to another object, its acceleration is 0.1m/s2. What is the mass of the
object? Round your answer to the hundreths place.
When a force is applied to an object, the mass of the object rounded to the hundredths place is 0.79 kilograms.
Let the first object be A.Let the second object be B.Given the following data:
Mass A = 5 kgAcceleration A = 4 \(m/s^2\)Acceleration A = 0.1 \(m/s^2\)To find the mass of object B:
First of all, we would solve for the force acting on the two objects.
Translating the statement into an inverse expression, we have;
\(F = \frac{a}{m^2}\)
Substituting the values into the equation, we have:
\(F = \frac{4}{5^2}\\\\F = \frac{4}{25}\; Newton\)
Next, we would determine the mass of object B;
\(\frac{4}{25} = \frac{0.1}{B^2}\)
Cross-multiplying, we have:
\(4B^2 = 25\) × \(0.1\)
\(4B^2 = 2.5\\\\B^2 = \frac{2.5}{4} \\\\B^2 = 0.625\\\\B = \sqrt{0.625}\)
Mass B = 0.79 kg
Therefore, the mass of the object rounded to the hundredths place is 0.79 kg.
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f(x) = x2 + 6x + 4
What is the increasing and decreasing
9514 1404 393
Answer:
decreasing: (-∞, -3)increasing: (-3, ∞)Step-by-step explanation:
The leading coefficient is positive, so you know the parabola opens upward.
The ratio -b/(2a) is -6/(2·1) = -3, so you know the axis of symmetry is x = -3. The function will be decreasing from negative infinity to the vertex at x = -3, and will be increasing from there to positive infinity. At the vertex (x=-3), the function is neither increasing nor decreasing.
decreasing: (-∞, -3)increasing: (-3, ∞)_____
Additional comment
For ax^2 +bx +c, the axis of symmetry is x=-b/(2a). The vertex (turning point) is on the axis of symmetry.
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx = ______
dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.
To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.
Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
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9. Find the area of a Rhombus with diagonals of lengths 8 and 14 cm
Answer:
A=56
Step-by-step explanation:
A= 8*14/2 /56
Suppose f(x) =8^3x and g(x) =8^4x which of these function operations are correct select all that apply
Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:
A. (f + g)(x) = \(8^{3x} + 8^{4x}\)
B. (f × g)(x) = \(8^{7x}\)
C. (f - g)(x) = \(8^{3x} - 8^{4x}\)
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:
(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)
(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)
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the measure of E in degrees is?
How many degrees is 5pi/4 radians?
Answer: 225
Step-by-step explanation:
Create a ratio part/whole for radians = part/whole for degrees
\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\) Keep change flip because you are dividing fractions for left side
\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)
\(\frac{5}{8} (\frac{360}{1} ) =x\)
x = 225
If angle C is 48 and angle B is 11x-5 and angle A is 9x-3, Find angle A.
Answer:
60°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°.
To find the measure of m∠A, we can write the following equation based on the above mentioned information:48° + 11x - 5 + 9x - 3 = 180°
Add like terms.40° + 20x = 180°
Subtract 40 from both sides.20x = 140°
Divide both sides with 20.x = 7
To find m∠A, replace x with 7:
m∠A = 9x - 3
9×7-3 = 60°
A train travels 4/5 km in 1 minute. How much distance will the train travel in 5 hours.
Step-by-step explanation:
To find the distance the train will travel in 5 hours, we need to convert the time from hours to minutes and then use the given rate of 4/5 km per minute.
There are 60 minutes in an hour, so 5 hours is equal to 5 x 60 = 300 minutes.
Given that the train travels 4/5 km in 1 minute, we can calculate the distance it will travel in 300 minutes (5 hours) using the following equation:
Distance = Rate x Time
Distance = (4/5) km/minute x 300 minutes
Distance = (4/5) x 300 km
Distance = 240 km
Therefore, the train will travel a distance of 240 kilometers in 5 hours.
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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N + M? N = 9.1 7.9 -2.4 0.2 -5.8 1.4 and M= 8.2 -0.6 -2.8 -1.8 -2.4 -6.1
Answer:
\(N + M = \begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}\)
Step-by-step explanation:
\(\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}9.1+8.2&7.9-0.6\\ -2.4-2.8&0.2-1.8\\ -5.8-2.4&1.4-6.1\end{pmatrix}\)
Then
\(\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}\)
Express the solution graphically of 1/4 (x-3) ≤ -2
Answer:
Step-by-step explanation:
x = 5
Solution of 1/4 (x-3) ≤ -2 is x ≤ 5 . The value of x will be less than or equal to 5 .
Graph is attached below.
Given,
1/4 (x-3) ≤ -2
Now,
Inequality : 1/4 (x-3) ≤ -2
Solve for x,
x - 3 ≤ -8
Take -3 from LHS to RHS.
-3 will be converted to 3 in RHS .
x ≤ -8 + 3
x≤ -5
The value of x will be less than or equal to -5.
The graph of inequality is attached below and represents the the value of x is less than or equal to 5 .
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In Smithville, there were 234 teachers in 1990 and 318 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period.
Answer:
35.90%
Step-by-step explanation:
First, subtract the new no with that of 1990
318-234= 84
percentage of increase will be given by;
84/234×100= 35.8974%
HELP ASAP YES I WILL GIVE BRAINLIEST
Answer:
magnesium >potassium
Step-by-step explanation:
Magnesium deficiency is frequently associated with hypokalemia. Concomitant magnesium deficiency aggravates hypokalemia and renders it refractory to treatment by potassium. Herein is reviewed literature suggesting that magnesium deficiency exacerbates potassium wasting by increasing distal potassium secretion.
a machine can produce article A in 12 minutes or article B in 16 minutes. If it is planned to produce twice as many of A as B in a working week of 40 hours how many of each will be produced. Assuming that the machine is working nonstop.
In a working week of 40 hours, 120 articles A and 60 articles B will be produced.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, 'a' be the number of articles A produced and 'b' be the number of articles B produced.
Therefore, From the given information the equation can be modeled as,
12a + 16b = 60×40.
12a + 16b = 2400, and a = 2b.
12×2b + 16b = 2400.
24b + 16b = 2400.
40b = 2400.
b = 60 and hence a = 120.
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If y = x² + 2x,
find the value of y when x = 5
_____________________________
Hey!!
Solution,
X=5
Now,
y=x^2+2x
=(5)^2+2*5
=25+10
= 35
So the value of y is 35
hope it helps
Good luck on your assignment
___________________________
For the given equation y = x² + 2x, the value of y when x = 5 is, 35
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
An equation, y = x² + 2x
The value of y when x is equal to 5 = ?
after putting value of x in a equation
⇒ y = 5² + 2 × 5
⇒ y = 25 + 10
⇒ y = 35
Hence, the value of y is 35
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Simplify:
28 : 7 x 22
Answer:
0.181818
hope it helps!
Answer:
88
Step-by-step explanation:
If you mean 28 divided by 7 then it would like this
28 : 7 x 22
Follow PEMDAS order (left to right)
28 divided by 7 x 22
= 4 x 22
Simplify
4 x 22
= 88
Hope this helps!!
2.8(g − 6) + 1.06 = 6.66
G= ?
Answer:
g = 8
Step-by-step explanation:
Hello!
We can solve for g by isolating the variable.
Solve for g2.8(g - 6) + 1.06 = 6.662.8g -16.8 + 1.06 = 6.66 => Distribute2.8g - 15.74 = 6.66 => Simply LHS2.8g = 22.4 => Add 15.74g = 8 => Divide by 2.8The value of g is 8.
Answer:
\( \sf \: g = 8\)
Step-by-step explanation:
Now we have to,
→ find the required value of g.
The equation is,
→ 2.8(g - 6) + 1.06 = 6.66
Then the value of g will be,
→ 2.8(g - 6) + 1.06 = 6.66
→ 2.8g - 16.8 = 6.66 - 1.06
→ 2.8g - 16.8 = 5.6
→ 2.8g = 5.6 + 16.8
→ g = (22.4)/(2.8)
→ [ g = 8 ]
Hence, the value of g is 8.
the United States Air force has 19 women for every 81 men enlisted. if a squadron has 500 members, approximately how many are women
Answer:
95
Step-by-step explanation:
19 x 5.0 = 95
Hope this helps
QUESTION 2 21 Write THREE equivalent actions for the following traction 25/50
The three equivalent fractions for \(\frac{25}{50}\) are, \(\frac{1}{2},\frac{5}{10},\) and \(\frac{50}{100}\).
What are equivalent fractionsEquivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, \(\frac{2}{4}\) and \(\frac{3}6}\) are equivalent fractions, because they both are equal to the \(\frac{1}{2}\). A fraction is a part of a whole. Equivalent fractions represent the same portion of the whole.
Given that:
\(\frac{25/25=1}{50/25=2}\)\(=\frac{1}{2}\)\(\frac{25/5=5}{50/5=10}\)\(=\frac{5}{10}\)\(\frac{25*2=50}{50*2=100}\)\(=\frac{50}{100}\)
Therefore, The three equivalent fractions for \(\frac{25}{50}\) are, \(\frac{1}{2},\frac{5}{10},\) and \(\frac{50}{100}\).
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Sam found a new tennis racket on sale for 10%
off. If he paid $36 for the tennis racket, what was
the original price?
Answer: 40
Step-by-step explanation:
Because 36 / 0.9 = 40
4,8,12,16,20,24,28,32,36,40 that equals 100 percent
Answer:
40 i hope this helps all of you guys!
Each marble bag sold by Carmen's Marble Company contains 3 red marbles for every 2 purple marbles. If a bag has 12 purple marbles, how many red marbles does it contain?
Answer:
18
Step-by-step explanation:
Find equation of the line shown
The equation of the line is y = x + 6
How to detemrine the equatiin of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following highlights
The graph intersect the y-axis at y = 6
This means that the intercept c is 6
Also, as x changes by 1, the y values changes by 1
This mean sthat the slope is 1
So, we have
y = mx + c
This gives
y = x + 6
Hence, the equation is y = x + 6
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The linear equation on the graph can be written as:
y = (3/2)*x + 6
How to find the equation in the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁), then the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we can see the points (0, 6) (so the y-intercept is b = 6) and (4, 10)
Then the slope will be:
a = (10 - 6)/(4 - 0) = 6/4 = 3/2
Then the linaer equation is:
y = (3/2)*x + 6
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Two lengths of a triangle are shown.
6
ft
6
ft
[Not drawn to scale]
Which could be the length of BC?
Answer:
11 ft
Step-by-step explanation:
Given the two lengths of a triangle as
AB = 6ft
AC = 6ft
This is an isosceles triangle because only 2 sides are equal.
In an isosceles triangle, the sum of 2 (sides) lengths must be greater than the other length.
Therefore, let's assume the following:
i) AC + AB > BC
6 + 6 > BC
12 > BC (BC is less than 12)
BC < 12
ii) BC + AC > AB
BC + 6 > 6
BC > 6 - 6
BC > 0
Therefore the range of values for BC =
0 < BC < 12
Since BC must be bigger than one of the lengths and it must also be less than the sum of the 2 sides. The length of BC could be 11 because it is less than (6+6) 12 and greater than 6.
Answer:11:)
Step-by-step explanation:
14.127 divided by 5.1 show work
9514 1404 393
Answer:
2.77
Step-by-step explanation:
Usually we like to do long division with the divisor being an integer. Here, that means the decimal points in both numbers are moved one place to the right. This makes the division be 141.27/51 = 2.77. The work is shown in the attachment.
Find the value of n for which the division of x^2n-1 by x+3 leave remainder of -80.
The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:
Write the dividend and divisor in polynomial long division format:
_________________________
x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...
Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).
Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).
Subtract the result obtained in step 3 from the original dividend:
x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...
Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.
Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.
-3x^(2n-2) + 0x^(2n-3) + ... = -80
Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.
This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:
2n-2 = 0
2n = 2
n = 1
Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
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How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
2, 5, 9, 10
Step-by-step explanation:
add 2 to the x value to find the f(x) value
According to a PNC Financial Independence Survey released in March 2012, today’s adults in their 20’s “hold an average debt of about $45,000, which includes everything from cars to credit cards to student loans to mortgages. (USA TODAY, April 24, 2012). Suppose that the current distribution of debts of all U.S. adults in their 20’s has a mean of $45,000 and a standard deviation of $12,720. Find the probability that the average debt of a random sample of 144 U.S. adults in their 20’s is: a) Less than $42,600 b) More than $46,240 c) $43,190 to $46,980
Using the normal probability distribution and the central limit theorem, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).In this problem:
The mean is of \(\mu = 45000\).The standard deviation is of \(\sigma = 12720\).A sample of 144 is taken, hence \(n = 144, s = \frac{12720}{\sqrt{144}} = 1060\).Item a:
The probability is the p-value of Z when X = 42600, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{42600 - 45000}{1060}\)
\(Z = -2.26\)
\(Z = -2.26\) has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the 1 subtracted by the p-value of Z when X = 46240, hence:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{46240 - 45000}{1060}\)
\(Z = 1.17\)
\(Z = 1.17\) has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190, hence:
X = 46980:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{46980 - 45000}{1060}\)
\(Z = 1.87\)
\(Z = 1.87\) has a p-value of 0.9693.
X = 43190:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{43190 - 45000}{1060}\)
\(Z = -1.71\)
\(Z = -1.71\) has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
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Customer pays $0.035 per minute for local calls, if the customer made 60 local calls that all lasted 3 minutes, how much will the customer pay?
The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.
To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30
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