Answer:
5/2 or 2 1/2
Step-by-step explanation:
-5 5/6 / (-2 2/6)
-35/6 / -7/3
-35/6 * -3/7
105/42
15/6
5/2
Find the difference:
3 4/6 - 1/6
O A. 21 / 1
O B. 273
O c. 3 1 / 3
N-
D. 34
E. 3
O E. 3
Answer:
3 1/2
Step-by-step explanation:
4 1 3
_ - _ = _
6 6 6
Then we simplify. 3 3 1
_ ÷ = _
6 3 2
Then just add your 3 and there 3 1/2 is your asnwer
The difference between 3 4/6 and 1/6 will be 3 1/2.
Given numbers are:
(1)\(3\frac{4}{6}\) \(=\frac{22}{6}\)
(2)\(\frac{1}{6}\)
What is a fraction?A fraction is a part of a whole.
The Difference between \(3\frac{4}{6}\) and \(\frac{1}{6}\) will be = \((\frac{22}{6} )-(\frac{1}{6} )\)
\(=\frac{22}{6} -\frac{1}{6}\)
\(=\frac{21}{6}\)
\(=\frac{7}{2}\)
\(=3\frac{1}{2}\)
Hence, the difference between 3 4/6 and 1/6 will be 3 1/2.
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The pet store had 2 cats, 3 dogs, and 1 hamster. How many animal legs did the pet store have?
Answer:
24 legs
Step-by-step explanation:
multiple the amount of cats, dogs and hamsters by 4 and add all three answers together and u get 24
Hey there! Here's your answer.
If you mean literal legs, as in the things you use to walk, the answer would be 24.
Explanation:
First, I added all the animals up.
2 + 3 + 1 = 6
Next, I multipled the answer of the last equation by 4 because each of these animals has 4 legs.
6 x 4 = 24
Finally, I got the answer of 24.
I hope this helps!
For the function v(t)=4t^2−6t+2, determine the value(s) of t on the closed interval [0,3] where the value of the derivative is the same as the average rate of change
There are no values of t on the interval [0,3] where the value of the derivative is equal to the average rate of change for the function \(v(t)=4t^2-6t+2.\)
The derivative of the function v(t) can be found by taking the derivative of each term separately. Applying the power rule, we get v'(t) = 8t - 6. To determine the average rate of change, we need to calculate the difference in the function's values at the endpoints of the interval and divide it by the difference in the corresponding values of t.
In this case, the average rate of change is (v(3) - v(0))/(3 - 0). Simplifying this expression gives (35 - 2)/3 = 33/3 = 11.
Now, we set the derivative v'(t) equal to the average rate of change, which gives us the equation 8t - 6 = 11. Solving this equation, we find t = 17/8. Since the interval is [0,3], we need to check if the obtained value of t falls within this interval.
In this case, t = 17/8 is greater than 3, so it does not satisfy the conditions. Therefore, there are no values of t on the closed interval [0,3] where the value of the derivative is equal to the average rate of change for the given function.
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The process of grouping and assigning values to various responses from the survey instrument is called
The term used to describe the process of assigning values to responses in a research instrument and grouping them is called: coding.
What is Coding in Research Analysis?In data analysis, before raw data can be processed, the researcher groups and assigns values to each response in the research instrument for easy collation and analysis.
This is referred to as coding, in research analysis.
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x + 7<8
PLLLLSSS its due in 30 mins
Answer:
\(x<1\)
Step-by-step explanation:
subtract \(7\) from both sides
plz mark me brainliest. :)
Answer:
x+7<8 = x= -15
Step-by-step explanation:
you welcome :)
When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is . This is
an example of:
a) an experimental probability
b) theoretical probability
c) subjective reasoning
d) assumption
Answer:
When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.
Step-by-step explanation:
The probability of rolling a 2 on a 6-sided dice is
1
6
The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,
1
6
×
1
6
=
1
36
Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.
Hope this helps, have a good day :)
(brainliest would be appreciated?)
Complete the table of values for f(x) = -3|x+1|-4 using the table of values for g(x) = |x|
f(x)>=-7
Functions:
Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.
If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x
Given :
f(x) = -3|x+1|-4
using the table of values for g(x) = |x|
Solution :
f(x) = -3|x+1|-4
f(x) = -3|g(x)+1|-4
f(x) = -3||x|+1|-4
which means |x| is always positive |x|>0
f(x) = -3||x|+1|-4
f(x) = -3x-3-4
f(x) = -3x-7
f(x)>=-7
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if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is convergent.T/F
If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.
This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.
If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.
Then, we have:
0 ≤ Sn ≤ M1 for all n (Sn is bounded)
0 ≤ Tn ≤ M2 for all n (Tn is bounded)
Now, let's consider the partial sums of the series ∑an∑bn:
Pn = a1(T1) + a2(T2) + ... + an(Tn)
Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.
Using the properties of the partial sums, we have:
0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)
Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.
Therefore, the given statement is True.
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The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph represents 1 foot, find the perimeter of the design.
Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).
What is the perimeter?This is the total distance of all the sides in a shape. Due to this, the general formula is:
Perimeter = side + side + side.What is the perimeter of the doghouse?Horizontal side: 8 feetVertical sides: 10 feetDiagonal sides: 10 feet8+10+10= 28 feet.
Note: This question is incomplete because the graph is missing; here is the graph:
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Solve for x. -3(x+n)=x
Answer:
x = 3/4 n
Step-by-step explanation:
-3(x+n)=x
Distribute
-3x-3n = x
Add 3x to each side
-3x-3n+3x= x+3x
3n = 4x
Divide by 4
3/4n = 3x/3
3/4 n = x
What number must be added to 13,875 to result in a sum of 25,884? you dont have to do it .-.
Answer:
substrate 13,875 from25,884.
therefore the answer is 12,009
If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A U B) = _____.
SHOW ALL WORK
Answer:0.48
Step-by-step equation:
What is the 97% confidence interval for a sample of 204 soda cans that have a mean amount of 12.05 ounces and a standard deviation of 0.08 ounces?(12.038, 12.062)(11.970, 12.130)(11.970, 12.130)(12.033, 12.067)
The option: (12.038, 12.062)
How to calculate the 97% confidence interval?Hi, I'd be happy to help you calculate the 97% confidence interval for the given data. To find the 97% confidence interval for a sample of 204 soda cans with a mean amount of 12.05 ounces and a standard deviation of 0.08 ounces, follow these steps:
1. Identify the sample size (n), mean (µ), and standard deviation (σ): n = 204, µ = 12.05, σ = 0.08
2. Determine the confidence level, which is 97%. To find the corresponding z-score, you can use a z-table or calculator. The z-score for 97% confidence is approximately 2.17.
3. Calculate the standard error (SE) using the formula: SE = σ / √n. In this case, SE = 0.08 / √204 ≈ 0.0056.
4. Multiply the z-score by the standard error to find the margin of error (ME): ME = 2.17 × 0.0056 ≈ 0.0122.
5. Find the lower and upper bounds of the confidence interval by subtracting and adding the margin of error to the mean, respectively: Lower bound = 12.05 - 0.0122 ≈ 12.0378, Upper bound = 12.05 + 0.0122 ≈ 12.0622.
So, the 97% confidence interval for this sample is approximately (12.0378, 12.0622), which is closest to the option (12.038, 12.062).
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Is \( f(x, y)=x^{4}+y^{2}+2 \) a homogeneous function? yes no can not be determined
Yes, the given function is a homogeneous function of degree 4.
Given function is \( f(x, y)=x^{4}+y^{2}+2 \). The degree of a homogeneous function is the power of variables to which the function is raised.
For the function to be homogeneous, it must satisfy the following conditions:
1. \(f(\lambda x,\lambda y)=\lambda ^n f(x,y)\)where n is the degree of the function.
2. \(f(\lambda x,\lambda y)=f(x,y)\)This can be proved by taking a suitable λ which is common for all terms. Here,λ=λ^4.
Thus, \(f(\lambda x,\lambda y)=\lambda ^4(x^4+y^2+2)\)Now, let us substitute this value of \(f(\lambda x,\lambda y)\) in the above equation for the function to be homogeneous\(f(\lambda x,\lambda y)=\lambda ^4(x^4+y^2+2)=\lambda ^n(x^4+y^2+2)\)
Comparing both the equations we get,\(\lambda ^4(x^4+y^2+2)=\lambda ^n(x^4+y^2+2)\)Thus,\(\lambda ^4=\lambda ^n\)
On solving the above equation we get,\(n=4\)
Hence, given function is a homogeneous function of degree 4.
Yes, the given function is a homogeneous function of degree 4.
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WRITE 32875 AS PRODUCT OF PRIME FACTOR BY USING EUCLID DIVISION LEMMA PLZZ ANSWEER KARDOO URGENT HAY
Answer:
Prime factors = 5 × 5 × 5 × 263
Step-by-step explanation:
Given:
Number = 32,875
Find:
Product of prime factor
Computation:
Using Euclid Division Lemma:
a = bq + r
a = Given number
q = unique integer
r = remain number
So,
32875 = 6575 × 5 + 0
6575 = 1315 × 5 + 0
1315 = 263 × 5 + 0
So,
Prime factors = 5 × 5 × 5 × 263
please help me with this problem!
Answer:
The choice A ;
\( \frac{1}{ {7}^{8} } \)
Step-by-step explanation:
\( \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } \)
Hii!
Answer:
Step-by-step explanation:
Use the rule of exponents.
If we divide two numbers with the same bases, we subtract the exponents.
7^-6/7^2=7^-6-2=7^-8
Now, if we have a negative exponent, we flip over the number.
7^-8=1/7^8
Great job!
—
Hope that this helped.
A store has a 20% off discount. If the original price of a shirt is $48, how
much will you pay?
Answer:
38.40
Step-by-step explanation:
I just took the test
Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 5 where f of x equals 5 minus x when x is less than 5, 8 when x equals 5, and x plus 3 when x is greater than 5
It looks like we have
\(f(x)=\begin{cases}5-x&\text{for }x<5\\8&\text{for }x=5\\x+3&\text{for }x>5\end{cases}\)
and we want to find \(\lim\limits_{x\to5}f(x)\).
Since \(x\) is approaching 5, we don't care about the value of \(f(x)\) when \(x=5\).
We do care about how \(f(x)\) behaves to either side of \(x=5\). If \(x\to5\) from below, then \(f(x)=5-x\), so that
\(\displaystyle\lim_{x\to5^-}f(x)=\lim_{x\to5}(5-x)=5-5=0\)
On the other hand, if \(x\to5\) from above, then \(f(x)=x+3\), so that
\(\displaystyle\lim_{x\to5^+}f(x)=\lim_{x\to5}(x+3)=5+3=8\)
The one-sided limits do not match, since 0 ≠ 8, so the limit does not exist.
Please answer this question I need to submit please do it ASAP!
Answer:
I can't understand the question can u explain briefly
Enid wrote a textbook for high school students. She receives a 5% royalty based on the total sales of the book. The book sells for $51. 95, and 12,341 copies were sold last year. How much did enid receive in royalty payments for last year, to the nearest cent?.
Step-by-step explanation:
Total sales = $51.95 × 12,341
Total sales = $641,114.95
Therefore, Royalty = 5% × $641,114.95
Royalty = $32055.7475
Royalty= $32055.7 (to the nearest cent)
X=
2x 10,
4
10
How do i find x?
Answer:Solve for x 2x-4=10 2x − 4 = 10 2 x - 4 = 10 Move all terms not containing x x to the right side of the equation. Tap for more steps... 2x = 14 2 x = 14 Divide each term in
Step-by-step explanation:
Lesson 1. 12
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth.
Ten seconds pass from the time the buoy is at its highest point to when it is at its lowest point.
Assume at x= O the buoy is at normal ocean depth.
Find the following:
Period =
Equation of the mideline:
Amplitude =
Maximum =
Minimum =
For the described situation, y = 6sin ( (π / 10) x ) - 10 is the sine function.
What is the sine function?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Asin(Bx)+C is the usual sine function formula.
A buoy bobs 6 meters up and down.
That is, the amplitude of the buoy shifts by 6 meters both vertically and horizontally.
A=6 Amplitude
The x-axis distance that constitutes one complete oscillation is known as the period.
We are aware that it takes a buoy 10 seconds to go from its greatest position to its lowest point (half oscillation).
20 seconds make up the complete oscillation period.
⇒ 20 (B) = 2π
B=2π /20
= π/ 10
Given that the buoy is 10 meters under the ocean's surface, C equals –10.
Using the formula's whole range of values:
⇒y = 6sin ( (π/ 10) x ) - 10
The midline is the initial point.
x=0 is the first point.
⇒y=6sin(0)-10
y= -10
The line is drawn from the origin at y = -10.
Either the highest or smallest value is at the second point.
Therefore, (5,-4) and (15, -16.)
Therefore, for the described situation, y = 6sin ( (π / 10) x ) - 10 is the sine function.
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Complete question:
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Assume at x = 0 the buoy is at normal ocean depth. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
sec(pi/2 -x) =csc x true or false
Answer:
true
Step-by-step explanation:
if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:
\(sec\left(\frac{\pi }{2}\:-x\right)\) \(=\frac{1}{\sin \left(x\right)}\)
\(\frac{1}{\sin \left(x\right)}\) \(=\csc \left(x\right)\)
so, yes, \(sec\left(\frac{\pi }{2}\:-x\right)\) \(=\csc \left(x\right)\)
hope this helps!!
Forces of 80 N at 110 degrees, and 30 N at an angle of 310 degrees, measured counter-clockwise from the positive x-axis, act on an object. What is the maditude of the resultant force (in Newtons)? The length of the vector is found using the Pythagorean Theorem: Magnitude =SQRT(x2+y2) Tries 1/2 Previous Tries What is the anale of the resultant force with respect to x-axis? (positive values only) Tries 0/2
The magnitude of the resultant force is approximately 47.89 Newtons, and the angle of the resultant force with respect to the x-axis (in positive values only) is approximately 295.16 degrees.
To find the magnitude of the resultant force, we break down the given forces into their x and y components. By summing the respective components, we obtain the resultant force components: Rx = -19.13 N and Ry = 43.86 N. Applying the Pythagorean theorem, we calculate the magnitude of the resultant force as sqrt((-19.13 N)^2 + (43.86 N)^2) ≈ 47.89 N.
To determine the angle of the resultant force with respect to the x-axis, we utilize the arctan function and find arctan(43.86 N / -19.13 N) ≈ -64.84 degrees. Since we want the angle in positive values only, we add 360 degrees to obtain approximately 295.16 degrees as the final answer.
Therefore, the given forces result in a resultant force with a magnitude of approximately 47.89 N, and the angle of the resultant force with respect to the x-axis (in positive values only) is approximately 295.16 degrees.
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y = x , x = 4y; about x = 17
The volume generated by rotating the region bounded by the curves y = x and x = 4y about the axis x = 17 can be found using the method of cylindrical shells.
To start, let's consider a vertical strip in the region, parallel to the y-axis, with a width dy. As we rotate this strip around the axis x = 17, it creates a cylindrical shell. The radius of each shell is given by the distance between the axis of rotation (x = 17) and the curve y = x or y = x/4, depending on the region. The height of each shell is given by the difference between the curves y = x and y = x/4.
We can express the radius as r = 17 - y and the height as h = x - x/4 = 3x/4. The circumference of each cylindrical shell is given by 2πr, and the volume of each shell is given by 2πrhdy. Integrating the volumes of all the shells over the appropriate range of y will give us the total volume.
By setting up and evaluating the integral, we can find the volume generated by rotating the region about the axis x = 17 using the method of cylindrical shells.
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can someone explain what rise over run means pls
Step-by-step explanation:
Rise over run is often referred to as the slope of the line or the gradient of the line. It is the measure obtained by dividing the y component of the line with the x component of the line. The rise over run ratio is an important characteristic to define the line, and is required to find the equation of the line.
On Monday, Jake could lift 25 lbs. One
year later, the weight he could lift
increased by 30%. What is the number
of pounds he can lift a year later?
an online subscription service has calculated the ratio of expired subscriptions to active subscriptions and found that the ratio is 0.42 to 1. what does this ratio mean?
The given ratio of 0.42 to 1 means that for every 1 active subscription, there are 0.42 expired subscriptions.
What is a ratio?
The ratio is a comparison of two quantities that is expressed as a fraction. It is used to compare two values in mathematics. It is possible to write the ratio between a and b as:
a : b or a/b.
What does a ratio of 0.42 to 1 mean? The ratio of 0.42 to 1 means that there are 0.42 expired subscriptions for every 1 active subscription. It is worth noting that the ratio is less than 1, indicating that there are fewer expired subscriptions than active subscriptions.
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Let F be any continuous increasing cdf. That is, suppose F has no jumps and no flat bits.
Suppose you are trying to create a random variable X that has cdf F, and suppose that all you have is F and a number picked uniformly on (0,1)(0,1).
(i) Fill in the blank: Let be a uniform (0,1)(0,1) random variable. To construct a random variable =() so that has the cdf , take (ii) Fill in the blank: Let U be a uniform (0,1)(0,1) random variable. For the function g defined by =______ 0 < u < 1
the random variable X = g(U) has the exponential (lambda) distribution
[Note: If F is a discrete cdf then the function g is complicated to write out formally, so we're not asking you to do that. The practical description of the method of simulation is in Parts 1 and 2.]
The function g is defined by:
g(u) = - (1/lambda) * ln(1 - u) for 0 < u < 1.
The random variable X = g(U) has the exponential (lambda) distribution.
(i) To create a random variable X that has cdf F, and you have a number picked uniformly on (0,1), you should do the following:
Let U be a uniform (0,1) random variable. To construct a random variable X=F^(-1)(U) so that X has the cdf F, take the inverse of the cdf F, denoted as F^(-1), and apply it to the uniformly distributed random variable U.
(ii) To find the function g for an exponential distribution with parameter lambda, you should set F as the exponential cdf, which is given by:
F(x) = 1 - e^(-lambda * x)
Now, you can find the inverse function F^(-1)(u):
1. Set u = F(x): u = 1 - e^(-lambda * x)
2. Solve for x: x = - (1/lambda) * ln(1 - u)
So, the function g is defined by g(u) = - (1/lambda) * ln(1 - u) for 0 < u < 1. The random variable X = g(U) has the exponential (lambda) distribution.
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