Answer:
You have to find the equivalent fraction of 7/2.
Step-by-step explanation:
Steps to find an equivalent fraction:
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.
Answer:
\(\frac{70}{20}\)
Step-by-step explanation:
Answer this question in your head: Which of the options has a numerator and denominator that are proportional to the given fraction?Let's look at the choices (I will explain in the steps below)First option: The numerator is increased by ×5, but the denominator is increased by ×4, so it is not the answer.Second option: The numerator is increased by ×10 and the denominator is increased by ×10, so it is the answer.Therefore, 70/20 is the answerI hope this helps!
A red balloon is 40 feet above the ground and rising at 2 feet per second. At the same time, a blue balloon is 60 feet above the ground and falling at a rate of 3 feet per second. How long will it take for the two balloons to be the same height from the ground? Let s = the number of seconds since the balloons began moving.
WRITE AN EQUATION FOR THIS.
Answer:
40+2s=60-3s
Step-by-step explanation:
The red balloon starts 40 feet off the ground and rises 2 feet per second. This means the height of the red ballon is 40+2s.
The blue balloon starts 60 feet off the ground at starts falling 3 feet per second. This means the height of the blue balloon is 60-3s.
Because we want to find out when the balloons will be the same height, we set them equal to each other.
40+2s=60-3s
Find the missing terms in each geometric sequence.
1. 3, 12, 48 __, __
2. __, __, 32, 64, 128, ...
3. 120, 60, 30, __, __
4. 5, __, 20, 40, __, __
5. __, 4, 12, 36, __, __
what does 160=7x+6 equal to?
Answer:
x=22
Step-by-step explanation:
7x+6=160.
Lets start by moving 6 over to the other side. We can do this by subtracting 6 from both sides of the equation.
7x+6-6=160-6
7x=154
Now, let's isolate x by getting rid of the 7. The 7 is being multiplied with x, so to get rid of it we have to divide both sides by 7.
7x/7 = 154/7
x=22
Look Below :
Step-by-step explanation:
160 - 6 = 7x
154 = 7x
Or
7x = 154
x = 22
Which of the sample means, as a reasonable valuable, would make the following statement correct.The sample mean _____ is while the critical value is 181.27. Thus, we reject the null hypothesis.a. 174.27b. 178.74c. 184.51d. 181.18
The correct answer is option C. 184.51.
The sample mean is 184.51 , which is lower than the critical value of 181.27. Thus, we reject the null hypothesis.
Here is a step-by-step explanation:
1. The critical value is 181.27.
2. We are looking for a sample mean that is greater than the critical value.
3. Option A (174.27) is less than the critical value, so it is not correct.
4. Option B (178.74) is also less than the critical value, so it is not correct.
5. Option C (184.51) is greater than the critical value, so it is correct.
6. Option D (181.18) is less than the critical value, so it is not correct.
The sample mean that would make the following statement correct is option C. 184.51. This is because the sample mean is greater than the critical value, which means that we reject the null hypothesis.
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irst consider a public good of value to Ann and Bob with the property that the value of the good can be expressed in monetary terms. In this case, the Samuelson condition states that the efficient level of the good is determined by MV +MVP where p is the per A B unit price of the good, and, for example, MV is Ann's marginal value of the good. Now consider a public good of value to Ann and Bob, the value of which CANNOT be expressed in monetary terms. In this case A O a. The Samuleson condition continues to work as in the case where values CAN be expressed in monetary terms. O b. We need more information before we can know how to modify the Samuelson condition. O c. The Samuelson condition is of no use because we cannot compare Ann's utility to Bob's. O d. The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.
Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.
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Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?
student Score
James- m
Lou- 2m
Rob- 3m
teri- 4m
shawn- 4m
Skip- 3m
art- 2m
Jim- m
Answer:
-5m/2
Step-by-step explanation:
-m+ (-2m) +(-3m)+(-4m) +(-4m)+(-3m)+(-2m)+(-m)/8
-m-2m-3m-4m-4m-3m-2m-m/8
-20m/8
-5m/2
Explain how this problem 12^3 x 11^2 is solved.
Answer:
you have to simplify it first and then miltiply
Step-by-step explanation:
Hunter is going to graph the ordered pairs that are represented by this table on a coordinate plane.
x
–7
–3
0
1
5
9
y
4
0
2
6
0
–2
In Hunter’s graph, how many points should lie on the y-axis?
0
1
2
3
Answer:
one
Step-by-step explanation:
Any point where x = 0 will fall on the y axis. The y values do not matter for this question.
Answer:
1
Step-by-step explanation:
1.) Identify the similar triangles in each figure. Explain why they are similar and use the given information to find x and y.
2.) The area of a rectangle is 108 cm2. The ratio of the width to the length is 3:4. Find the length and the width.
Figure (a) have similar triangles, while figure (b) do not; and the length and the width of the rectangle are 12 cm and 9 cm,
Identifying the similar triangles in each figure.Figure (a)
The similar triangles in this figure are
ABC and AED
This is because:
The triangles have similar corresponding sides and congruent angles
Also, ABC is divided by 3 to get AED
So, we have
x = 15/3 = 5
y = 10/3
Figure (b)
The triangles in this figure are not similar triangles
The length and the width of the rectangleWe have
Area = 108
Width : Length = 3 : 4
So, we have
Width = 3/4Length
The area is
Area = Length * Width
Area = Length * 3/4Length
Length * 3/4Length = 108
3/4Length² = 108
Length² = 144
Length = 12
Recall that
Width = 3/4Length
Width = 3/4 * 12
Width = 9
Hence, the length and the width of the rectangle are 12 cm and 9 cm, respectively
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The voltage V of an audio system's speaker can be represented by V=4 √P, where p is the power of the speaker. An engineer wants to design a speaker with 400 watts of power. What will the voltage be?
The voltage of the speaker when the power is 400 watts will be given by ± 80 volt.
Given the equation is,
V = 4 √P
here V is the voltage of an audio system's speaker and P is the power of the audio system's speaker.
Here it is given that we have to design a speaker with 400 watts of power. So the equation becomes when P = 400
V = 4 √400
We know that, √400 = ± 20
So, V = 4 * (± 20) = ± 80
Hence the voltage of the speaker will be given by ± 80 volt.
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What value of x is in the solution set of 8x – 6 ≥ 12 + 2x?
Answer:
(Attached Below)
Step-by-step explanation:
Answer:
x \(\geq\) 3
Step-by-step explanation:
8x - 6 \(\geq\) 12 + 2x
First, take the smallest value of x away from the largest.
6x - 6 \(\geq\) 12
Then, add 6 on both sides. (Always do the opposite!)
6x \(\geq\) 18
Finally, divide by 6
x \(\geq\) 3
4.A swimmer with a mass of 58 kg and a velocity of 1.6 m/s to the northclimbs onto a 142 kg raft. The combined velocity of the swimmer andraft is 0.32 m/s to the north. What is the raft’s velocity before the swim-mer reaches it?
the velocity of the raft before the swimmer reaches it is approximately -0.231 m/s to the north.
solve this problem, we can use the principle of conservation of momentum. The total momentum before and after the swimmer climbs onto the raft should be the same.
Let's denote the initial velocity of the raft as v.
The initial momentum of the swimmer is given by:
Momentum_swimmer = mass_swimmer * velocity_swimmer
= 58 kg * 1.6 m/s = 92.8 kg·m/s (north)
The initial momentum of the raft is:
Momentum_raft = mass_raft * velocity_raft
= 142 kg * v (unknown velocity)
The combined momentum after the swimmer climbs onto the raft is:
Momentum_combined = (mass_swimmer + mass_raft) * velocity_combined
= (58 kg + 142 kg) * 0.32 m/s = 60 kg * m/s (north)
Since momentum is conserved, we can set up an equation:
Momentum_swimmer + Momentum_raft = Momentum_combined
92.8 kg·m/s + 142 kg * v = 60 kg * m/s
Simplifying the equation:
142 kg * v = 60 kg * m/s - 92.8 kg·m/s
142 kg * v = -32.8 kg·m/s
Dividing both sides by 142 kg:
v = -32.8 kg·m/s / 142 kg
v ≈ -0.231 kg·m/s
Therefore, the velocity of the raft before the swimmer reaches it is approximately -0.231 m/s to the north.
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-3x^2 + 4xy - y^3 x = 5 and Y = 1
Answer: -56
Step:
Plug in the numbers into the equation
-3(5)² + 4(5)(1)-1³
Any expression multiplied by 1 remains the same. Evaultuate the power.
-3×25+4×5-1³
Multiply the numbers. 1 raised to any power equals 1.
-3×25+20-1
Multiply the numbers
-75+20-1
Calcualte the sum or difference and you get -56.
Hope this helpsʕ•ᴥ•ʔ
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answer:
8
Step-by-step explanation:
For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.
So, by the triangle inequality theorem, 1+x>8, which means x>7.
So, the smallest possible whole number length is 8.
A ball is thrown downward from the top of a 140 -foot building with an initial velocity of 24 feet per second. The height of the ball h in feet after t seconds is given by the equation h=-16t^(2)-24t+140.
In a case whereby a ball is thrown downward from the top of a 140-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the ground at t = 2.5 or -3.5.
How can the time be calculated?Height of building = 140 ft
Initial velocity, u = 16 ft/sec
the equation given is
h = -16t² -16t +140
h(t) = -16t² -16t +140
AT h(t) = 0 , We can divide by -2 and have
(8t² + 8t - 70) = 0
8t² + 8t - 70 = 0
Then if we solve with quadratic equation formula where a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then t = 2.5 or -3.5
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complete question;
A ball is thrown downward from the top of a 140-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the ground?
emma advertises a reward for the return of her lost dog. frank, who does not know of the reward, finds and returns the dog. frank cannot recover the reward because he
Frank cannot recover the reward because he was unaware of the reward being offered by Emma.
In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.
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Which of the following is an odd function? f(x) = 3x2 x f(x) = 4x3 7 f(x) = 5x2 9 f(x) = 6x3 2x
If the condition f(-x) = -f(x) is satisfy then the function is an odd function. Then the odd function is f(x) = 6x³ + 2x.
What is an odd function?Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.
The equation should be stored in an odd function:
f(-x) = -f(x)
Then the functions are given below.
f(x) = 3x² + x
f(x) = 4x³ + 7
f(x) = 5x² + 9
f(x) = 6x³ + 2x
Then replace x with the negative x, then we have
f(x) = 3(-x)² + (-x) = 3x² - x =
f(x) = 4(-x)³ + 7 = -4x³ + 7
f(x) = 5(-x)² + 9 = 5x² + 9
f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)
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Answer: D
Step-by-step explanation:
Consider the 4 points (-2,2), (0,0), (1, 2), (2,0). a) Write the (overdetermined) linear system Aa = b arising from the linear regression problem (i.c., fit a straight line). b) [MATLAB] Determine a thin QR factorization of the system matrix A. c) [MATLAB] Use the factorization to solve the linear regression (least-squares) problem. d) [MATLAB] Plot the regression line.
(a) The linear system Aa = b for the linear regression problem using the given points is:
-2a₀ + 2a₁ = 2
0a₀ + 0a₁ = 0
1a₀ + 2a₁ = 2
2a₀ + 0a₁ = 0
(a) The overdetermined linear system Aa = b is formed by writing down the equations for fitting a straight line to the given points. Each equation represents a point and involves the coefficients a₀ and a₁ of the line.
-2a₀ + 2a₁ = 2
0a₀ + 0a₁ = 0
1a₀ + 2a₁ = 2
2a₀ + 0a₁ = 0
(b) In MATLAB, the thin QR factorization of the system matrix A can be computed using the 'qr' function. This factorization decomposes the matrix A into the product of two matrices, Q and R.
(c) Once the QR factorization is obtained, the linear regression problem can be solved by applying the backslash operator to the factorized matrix A and the target vector b. This will yield the coefficients a₀ and a₁ that best fit the given points.
(d) With the coefficients obtained from the linear regression solution, a line can be plotted in MATLAB by generating a range of x-values and using the line equation y = a₀ + a₁x. The resulting line will represent the regression line that best fits the given points.
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Pleasee pleeeaassee help. TY
Question 11
What transformation(s) will result in Triangle ABC mapping on to Triangle DEF completely?
A
Translation across the y-axis
B
Reflection across the y-acis
с
Translation across the x-axis
OD
Reflection across the x-axis
Answer:
B
It's a Reflection in the y-axis
Answer:
B. Reflection across the Y axis.Step-by-step explanation:
Translations on the coordinate plane has different coordinates of the shape, and reflect.
Reflections on coordinate plane have the same coordinates, they are just in different quadrants.
As you can see, the coordinates of the first triangle on the left is (-6, -2), (-2, -4), and (-4, -6).
On the right triangle, the coordinates are (6, -2), (2, -4), and (4, -6).
Your answer is B.
Noise levels at 5 volcanoes were measured in decibels yielding the following data: 108,133,140,129,136 1. Construct the 98% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
2. Calculate the sample standard deviation for the given sample data. 3. Find the critical value that should be used in constructing the confidence interval.
The confidence interval or the mean noise level is (108.17,150.23) and sample standard deviation is 12.52.
Given noise levels:108,133,140,129,136. and confidence level 98%.
We have to find the confidence level and the sample standard deviation of the given data.
Confidence level=98%.
n=5
Sample standard deviation=\(\sqrt{(x-x bar)^{2} /n-1}\)
=\(\sqrt{626.8/4}\)
=\(\sqrt{156.7}\)
=12.52
critical t value at 98% confidence level with degree of freedom(5-1) is 3.747
Standard error= critical t*s/\(\sqrt{n}\)
Standard error is the difference between the real values and calculated values.
=3.747*12.52/\(\sqrt{5}\)
=46.91/2.23
=21.03
Upper confidence interval=Mean +standard error
=129.2+21.03
=150.23
Lower confidence interval=Mean - standard error
=129.2-21.03
=108.17
Hence the confidence interval is (108.17,150.23) ,sample standard deviation is 12.52 and critical t value is 3.747.
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A right triangle has a hypotenuse that is 21 inches long and a leg that is 15 inches long. How long is the other leg of the triangle?
Answer: In a right triangle, the length of the hypotenuse is the square root of the sum of the squares of the other two legs. So, using the Pythagorean theorem, the other leg would be the square root of (21^2 - 15^2) = (441 - 225) = 216 = 14.69 inches.
Step-by-step explanation:
Write an equation for the following math sentence.
One fourth times the difference of ten and a variable is 2/3.
Answer:
Step-by-step explanation:
Let x be the variable.
One fourth times the difference of ten and x is 2/3
1/4 (10 - x) = 2/3
10 - x = 3/2
-x = 3/2 - 10
x = -3/2 + 10
x = 13/2
The answer is:
\(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\)
Work/explanation:
First, the variable is d
Then, the difference of 10 and d is 10 - d.
One-fourth is 1/4.
The equation is : \(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\).
Therefore, this is the required equation.Giving brainless and maybe free art! I need the answer asap
Answer:
250 readers
Step-by-step explanation:
1. 4% = 10
2. 100% = 250
a. 4% x 25 = %100
b. 10 x 25 = 250
I hope this helps!
Answer:
250
Step-by-step explanation:
Given that
Letter to the editor = 10
Also it is given that 10 is the 4% of total readers of the newspaper.
Let x be the number of readers of the newspaper
It can be written as:
10=4% of x
Converting the percentage into decimal
10=0.04x
10. = 0.04x
0.04. 0.04
x=250
The newspaper has 250 readers.
Hence,
The local newspaper has 250 readers in total
Plz like it took FOREVER
35 + 2x = 60. HELP PLS
Answer:
=> x = 12.5Step-by-step explanation:
=> 35 + 2x = 60
=> 2x = 60-35
=> 2x = 25
=> x = 25/2
=> x = 12.5
HELP!!! BRAINLIEST FOR ANSWERS!!!
(Show work!)
1. A normal distribution has a mean of 10 and a standard deviation of 3.
Problem one: Find the percentage of data that lies between 7 and 16.
Problem two: What two numbers do 68% of the data lie between?
Problem three: Find the percentage of numbers that are larger than 13
a) Using the principles of a normal distribution, the percentage of data that lies between 7 and 16 is 95%.
b) The two numbers that 68% of the data lie between are 7 and 10.
c) The percentage of numbers that are larger than 13 is 32%.
What is a normal distribution?A normal distribution is a probability distribution where the values of a random variable show a symmetrical distribution.
A symmetrical distribution implies that the values are equally distributed on the left and right side of the central tendency.
This symmetrical relationship means that a bell-shaped curve is formed.
The mean of the normal distribution = 10
The standard deviation = 3
z = (x - μ) / σ
Where:
z = the z-score
x = the value
μ = the mean
σ = the standard deviation.
For x = 7:
z = (7 - 10) / 3
z = -1
This means that 7 is one standard deviation below the mean.
For x = 16:
z = (16 - 10) / 3
z = 2
This means that 16 is two standard deviations above the mean.
Using the empirical rule, about 68% of the data falls within one standard deviation of the mean, and about 95% of the data falls within two standard deviations of the mean.
The percentage of data that lies between 7 and 16 is 95% (100% - 5%)
b) Mean = 10
Standard deviation = 3
A number below = 7 (10 - 3)
A number above = 13 (10 + 3)
Thus, 68% of the data lie between 7 and 13.
c) The percentage of numbers that are larger than 13, using the z-score formula to find how many standard deviations away from the mean is 13.
z = (x - μ) / σ
For x = 13:
z = (13 - 10) / 3
z = 1
This means that 13 is one standard deviation above the mean.
The empirical rule says that about 68% of the numbers fall within one standard deviation of the mean, and about 95% of the numbers fall within two standard deviations of the mean.
The percentage of numbers that are larger than 13 = 32% (100% - 68%).
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a product is originally priced at $55 and is on sale for 25% off. how much is the discount
Answer: The discount is $13.75, which is found by multiplying the original price by the discount percentage, 0.25.
Step-by-step explanation:
select all values equal to -4/5
Answer:
C and E
Step-by-step explanation:
the position of the minus either up or down affects both the numerator and denominator.
but if both number have minus the minus cancels each other
Answer:
B, C, E
Step-by-step explanation:
A is -/- and therefore +
B is - -/- = -+ = -
C is -/+ = -
D is - -/+ = -- = +
E is +/- = -
Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
Help I need the answer right quick. Which one????
Answer:
b i think but y are u looking forward to this