Answer:
add
Step-by-step explanation:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Hope this is helpful
Answer:
Add
Step-by-step explanation:
Hope it helps you
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3/4 ÷ 3/12 =
What is the answer?
Answer:
3
Step-by-step explanation:
Multiply the dividend fraction numerator with the divisor fraction denominator to get the numerator
Multiply the dividend fraction denominator with the divisor fraction numerator to get the denominator = 36/12
Reduce the fraction by finding the greatest common factor. The greatest common factor of 36 and 12 is 12
Divide the numerator and denominator by the greatest common factor (12)
= 3/1
Convert to a mixed fraction by finding the whole number and remainder
= 3
Answer:
3
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
It will give you 3.
Hope this helps:)
Suppose you physically simulate the random process of rolling a single die. (a) After 1010 rolls of the die, you observe a "one" 44 times. What proportion of the rolls resulted in a "one"? (b) After 2020 rolls of the die, you observe a "one" 22 times. What proportion of the rolls resulted in a "one"?
Answer:
(a) 0.4 or 40%
(b) 0.1 or 10%
Step-by-step explanation:
(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:
\(p=\frac{4}{10}\\ p=0.4\)
(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:
\(p=\frac{2}{20}\\ p=0.1\)
im going down to S o U t H p A r K
Answer:
ok have a nice time
Step-by-step explanation:
Answer:
I totally agree *brainly don't take down my answer pls*
Step-by-step explanation:
For each question, find the area to the right of the given z-score in a standard Normal distribution. Include an appropriately labeled sketch of the N(0,1) curve. Complete parts a through e
A, The area to the right of z=6.00 is _____?
B. The area to the right of z=12.00 is ____?
C. The area to the right of z=30.00 is____?
E. Which is equal to the area in part b: the area below (to the left of) z=−12.00
or the area above (to the right of) z=−12.00
The area __?__ z=-12.00 is equal to the area in part b
To find the area to the right of the given z-score in a standard normal distribution, we can use a z-table or calculator. Here are the solutions to each part of the question:
A. The area to the right of z=6.00 is:
Since the z-score is 6.00, which is far from the mean in a standard normal distribution (N(0,1)), the area to the right of z=6.00 is extremely small and close to 0. You can use a z-table or calculator to find the exact value, but it's essentially 0.
B. The area to the right of z=12.00 is:
Similar to part A, a z-score of 12.00 is even farther from the mean, making the area to the right of z=12.00 even smaller. It is essentially 0.
C. The area to the right of z=30.00 is:
Again, a z-score of 30.00 is far from the mean, and the area to the right of z=30.00 is extremely small, essentially 0.
E. Which is equal to the area in part b: the area below (to the left of) z=−12.00 or the area above (to the right of) z=−12.00
Since the area to the right of z=12.00 in part B is essentially 0, the area equal to it would be the area above (to the right of) z=-12.00. This is because a z-score of -12.00 is far from the mean on the left side of the standard normal distribution curve, making the area to its right close to 1.
The area above z=-12.00 is equal to the area in part B.
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Is negative 2 bigger then negative 6
Answer:
Yes, negative 2 is bigger than negative six.
Answer:
(-2 is greater than -6 )it is the lower the it is such as -2 the way you know which is greater is by whatever negative is closer to 0 or to the positive numbers.
Step-by-step explanation:
Hope this heped!
If f(r)r is solenoidal, determine f(r).
To determine the function f(r) such that f(r)r is solenoidal, we need to first understand what it means for a vector field to be solenoidal.
A vector field is said to be solenoidal if its divergence is zero everywhere. Mathematically, if the vector field F is given by F = (F1, F2, F3), then it is solenoidal if ∇ • F = 0, where ∇ is the divergence operator.
Now, let's consider the vector field G = f(r)r, where r is the position vector in three-dimensional space, and f(r) is a scalar function. We can express G in terms of its components as follows:
G = (f(r)x, f(r)y, f(r)z)
where x, y, and z are the components of the position vector r. To determine f(r) such that G is solenoidal, we need to find the divergence of G using the expression for the divergence of a product of a scalar and a vector:
∇ • G = ∇ • (f(r)r) = (∇f(r)) • r + f(r)∇ • r
Now, since r = xi + yj + zk, we have:
∇ • r = ∂x/∂x + ∂y/∂y + ∂z/∂z = 3
Substituting this into the expression for ∇ • G, we get:
∇ • G = (∇f(r)) • r + 3f(r)
For G to be solenoidal, we need ∇ • G to be zero everywhere. This implies that (∇f(r)) • r + 3f(r) = 0. Since r is a vector, we can write this as:
∇f(r) + 3f(r)*(r/r²) = 0
where r/r² is the unit vector in the direction of r.
Multiplying both sides by r, we get:
r • ∇f(r) + 3f(r) = 0
This is a first-order partial differential equation known as the radial form of Laplace's equation. The general solution to this equation is:
f(r) = A/r³ + B
where A and B are constants.
Therefore, the function f(r) such that f(r)r is solenoidal is given by:
f(r) = A/r³ + B
where A and B are constants.
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What is the distance between (-3,-4) and (5,6).
Answer:
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A tank is full of water when a valve at the bottom of the tank is opened. The equation V = 62(151 - t) gives the volume of water in the tank, in cubic meters, after t hours.What is the volume of water in the tank before the valve is opened?__ cubic metersHow long does it take the tank to fully empty?___ hoursFind an equation for DV/dtdV/dt = __ PreviewWhat is the flow rate after 23 hours? ____ Select an answerWhen is the water flowing out of the tank the fastest?t= ____ hours
1. The volume of water in the tank before the valve is opened is 9362 cubic meters. 2. It takes 151 hours for the tank to fully empty.
What is modelling in math?Modeling is the process of representing and analyzing real-world events using mathematical ideas and methods. It is a crucial component of mathematics because it enables systematic, quantitative prediction, problem-solving, and understanding of complicated processes.
We may learn about the behavior of systems, test hypotheses, and arrive at wise conclusions by using mathematical models. We may use models to enhance processes, forecast results, and discover key factors.
The equation of the volume is given as V = 62(151 - t).
At t= 0 we have the volume as:
V = 62(151 - 0) = 9362 cubic meters
To empty the tank we take V = 0:
0 = 62(151 - t)
151 - t = 0
t = 151
Hence, the volume of water in the tank before the valve is opened is 9362 cubic meters and it takes 151 hours for the tank to fully empty.
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Halp halp halp halp help me
Answer:
72 cubic units
Step-by-step explanation:
V=lwh
l=6
w=4
h=3
6*4*3 = 72
Hope this helps.
Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26 0.02
The mean of this probability distribution is 1.55.
To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:
mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
= 0 + 0.37 + 0.32 + 0.78 + 0.08
= 1.55
Therefore, the mean of this probability distribution is 1.55.
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Use the drop-down menus to complete the statement based on the dotplot.
This distribution of test scores is V skewed left M because the right side of the distribution of the variable is
considerably shorter than the center from the main peak of data.
OOOO
O
64
69
74
89
94
99
79
84
Test Scores
Literally, the skewness of a dot plot is a measure of the concentration of points on its sides.
The terms from the drop-down to complete the blanks are:
left skewedleft sideright sideA dot pot is said to be:
Right skewed, if it has more points at the leftLeft skewed, if it has more points at the rightSymmetric, if it has more points at the centerBy analyzing the given dot plot, we can see that it has fewer points at the left-hand side than the right-hand side.
Hence, the dot plot is left skewed.
So, the terms to select from the drop-down are:
left skewedleft sideright sideRead more about skewness at:
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Answer:
In the picture below. Left, right, left for a quick answer
Step-by-step explanation:
Edge 2022.
For what values of c does the quadratic equatrion x^2-2x+c=0 have two roots of the same sign
The roots have positive or same signs when c>0.
Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.
\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)
Roots of quadrant equation have Samsame sign if product of roots >0.
\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)
Roots of quadratic equation have positive sign if product of roots<0.
c>0.
Combining results, we get:-
roots have positive signs when:-
c>0.
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Sammy wants to deposit into a 7% annual simple interest account she will also deposit twice as much in a certificate of deposit earning 5% annual simple interest to earn $390 of annual interest how much should she invest in each account?
Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.
Step-by-step explanation:
Let x represent the amount that he would deposit in the simple interest account.
Let y represent the amount that he would deposit in the certificate of deposit.
she will deposit twice as much in the certificate of deposit. It means that
y = 2x
Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x
Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.
The total interest from both accounts would be $390. It means that
0.07x + 0.05y = 390- - - - - - - - - - 1
Substituting y = 2x into equation 1, it becomes
0.07x + 0.05 × 2x = 390
0.07x + 0.1x = 390
0.17x = 390
x = 390/0.17 = $2294
y = 2x = 2 × 2294
y = 4588
Can the terms susc as "less than" and "more than" be used in a real situation? Can you give an example or examples?
Answer:
Yes
Step-by-step explanation:
She had more than me
I would help her but she has less than me
why can it be difficult to interpret a correlation between two variables?
Interpreting a correlation requires careful consideration of factors such as causation, confounding variables, nonlinearity, outliers, and sample characteristics.
Interpreting a correlation between two variables can be difficult for several reasons:
Causation vs. correlation: Correlation measures the strength and direction of the relationship between two variables but does not imply causation. Just because two variables are correlated does not mean that one variable causes the other. It is essential to avoid making causal claims based solely on correlation.
Confounding variables: Correlations can be influenced by the presence of confounding variables that affect both variables being studied. Without accounting for these confounding factors, it can be challenging to determine the true nature of the relationship between the variables of interest.
Nonlinear relationships: Correlation coefficients, such as Pearson's correlation coefficient, measure linear relationships between variables. If the relationship is nonlinear, the correlation may not accurately capture the association. It is crucial to consider other types of analysis or transformations to capture more complex relationships.
Outliers and influential observations: Extreme values or outliers in the data can have a significant impact on correlation coefficients. These outliers may distort the correlation and lead to incorrect interpretations. It is important to examine the data for influential observations that may unduly influence the correlation results.
Sample size and representativeness: The size and representativeness of the sample can affect the reliability and generalizability of correlation results. Small or biased samples may not provide a representative picture of the population, leading to misleading interpretations.
Overall, it is important to use correlations as part of a broader analysis and consider additional evidence before drawing definitive conclusions about the relationship between variables.
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Geometric Sequence
Need help with number 5
The sum of the perimeters of all squares is 80 ft.
What is perimeter?
Perimeter is the distance around the outer boundary of a two-dimensional shape, such as a rectangle, square, triangle, or circle. It is the total length of all the sides of the shape.
Starting with a square with a perimeter of 40 ft, we can find the length of one side by dividing the perimeter by 4:
\(\frac{40ft}{4} = 10ft\)
So, the original square has a side length of 10 ft.
Connecting the midpoints of the sides of this square creates a new square with half the side length of the original square. Each side of this new square is the hypotenuse of a right triangle with legs equal to half the side length of the original square (i.e., 5 ft).
Using the Pythagorean theorem, we can find the length of each side of the new square:
\(s^2 = (5 ft)^2 + (5 ft)^2\)
\(s^2 = 50 ft^2\)
\(s = \sqrt{50}ft\)
So, the second square has a side length of \(\sqrt{50}ft\), which is approximately 7.07 ft.
Continuing this process, each subsequent square will have half the side length of the previous square. Therefore, the side length of the third square will be half the side length of the second square, which is:
\(\frac{1}{2}\) * \(\sqrt{50}ft\) = \(\sqrt{25}ft\) = 5 ft.
The side length of the fourth square will be half the side length of the third square, which is: \(\frac{1}{2}\) * 5 ft = 2.5 ft. And so on.
The perimeters of the squares are:
The perimeter of the first square is 40 ft.
The perimeter of the second square is 4 * \(\sqrt{50}ft\), which is approximately 28.28 ft.
The perimeter of the third square is 4 * 5 ft = 20 ft.
The perimeter of the fourth square is 4 * 2.5 ft = 10 ft.
We can see that the perimeter of each subsequent square is half the perimeter of the previous square. So, the series for the perimeters of the squares is a geometric series with a first term of 40 ft and a common ratio of 1/2.
Using the formula for the sum of an infinite geometric series, we can find the sum of the perimeters of all squares:
S = a / (1 - r)
where a is the first term (40 ft) and r is the common ratio (1/2). Plugging in these values, we get:
S = 40 ft / (1 - 1/2)
S = 80 ft
Therefore, the sum of the perimeters of all squares is 80 ft.
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determine the probability of drawing either a two or a king? write your answer as a reduced fraction.
The probability of drawing either a king or a jack = 2/13
What is Probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Total number of cards in a standard deck, n (Total) = 52
Total number of king or a jack cards in a standard deck, n (King or Jack) = 8
probability of drawing a king or a jack =
P ( King or Jack ) = n (King or Jack )/ n (Total)
= 8/52
= 2/13
The probability of getting a king or a jack = 2/13
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Help please?????????
Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)
Answer:
y = -2/5x + 5
Step-by-step explanation:
y = -2/5x + b
7 = -2/5(-5) + b
7 = 2 + b
5 = b
Two circles C₁ and C₂ have their centres at the point (3,4) and touch a third circle, C3.
The centre of C3 is at the point (0,0) and its radius is 2.
What is the sum of the radii of the two circles C₁ and C₂?
The sum of the radii of the two circles C₁ and C₂ is 4 units
Given data
Two circles C₁ and C₂ have their centres at the point (3,4)
The centre of C3 is at the point (0,0) and its radius is 2
And C1 and C2 is touching C3
How to find the sum of the radii of the two circles C₁ and C₂Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r
The distance, d from the origin using point x and y given is solved for as follows:
d^2 = x^2 + y^2
d^2 = 3^2 + 4^2
d^2 = 9 + 16
d^2 = 25
d = √25
d = 5
Radius if the two circles is 5 - 3 = 2
One of the radius is 2 hence sum of the two radii
= 2 + 2
= 4 units
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help me ..................................
$4065.66 is the investment worth at the end of 5 years.
What is compound interest?
The interest charged on a loan or deposit is known as compound interest. That is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this.
Here, we have
Given: Kenji invests $3,500 at an interest rate of 3%, compounded monthly.
A = P(1+r/n)ⁿˣ
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest is applied per time period
x = number of time periods elapsed
P = $3,500
r = 3% = 3/100 = 0.03
n = 12 (As there are 12 months in a year)
x = 5 years
A = 3500(1+0.03/12)⁶⁰
3,500 x (1.161616)
$4065.658 = $4065.66
Hence, $4065.66 is the investment worth at the end of 5 years.
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Cam rode her bike 5 times as far as Dante did. Dante rode 197 meters farther than Michael did. Cam rode 10.25 kilometers. How many meters did Michael ride? Complete the explanation of how you got your answer.
Answer:
1853metre
Step-by-step explanation:
Taking Danta distant as x
While Cam's will be 5x because he cover distance 5 time more than dante
I.e. Cam rode 10.25 km, to get what dante covers
5x=10.25
x=10.25/5
x=2.05km
Dante rode 2.05 km as calculated above
We must remember 1km=1000m. Hence, 2.05 km=2050 m
From the question, "Dante rod 197 m more than Michael", the distance Michael will ride then will be:
2050 metre - 197 metre
=1853 metre
Michael have rode 2863 metre
Two radar stations 4.3 miles apart are tracking an airplane. The straight-line distance between
Station A and the plane is 9.6 miles. The straight-line distance between Station B and the plane is 8.6
miles. What is the angle of elevation from Station A to the plane? Round the distance to the nearest
degree.
9.6 ml
Ad
4.3 mi
8.6 mi
B
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
What is trigonometry?The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.
Here,
given :
An aircraft is being followed by two radar stations, which are 4.3 miles apart.
Station A is 9.6 miles away from the plane in a straight line.
Thus,
To find the angle of elevation from station A to plane :
Using Trigonometric ratios:
=> Sin A = 8.5 / 9.6
=> Sin A = 85/96
=> A = \(Sin^{-1}\)(85/96 )
=> A = 62.302840124651483 °
=> A = 62.3°
Therefore , the solution to the given problem of trigonometry comes out to be angle of elevation : 62.3°.
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What is $229.98 plus a 10% shipping fee?
Answer: The answer to your question would be $252.98
Step-by-step explanation: If you are adding a 10% shipping fee/tax, this should be correct.
Which of the following functions is not a linear
By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.
Which of the following functions is not a linear function?A polynomial is an expression of the form:
\(p(x) = a_n*x^n + a_{n-1}*x^{n-1} + ... + a_0\)
Where all the exponents are natural numbers.
We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.
So a linear function is of the form:
\(f(x) = a_1*x + a_0\)
Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.
Then the correct option is C.
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64 college basketball teams are chosen for a national championship tournament. they are divided equally into four regions to begin the tournament: west, south, east, and north. let w be the event that a team is assigned to the west region. identify the numbers of each of the following:
there are_____teams in the sample space. there are_____teams in the event w. p(w) = _____, is the probability that a randomly chosen team is in event W.
There are 64 teams in the sample space. There are 16 teams in the event W. p(W) = 0.25, is the probability that a randomly chosen team is in event W.
Since the teams are divided equally into four regions, there are 16 teams in the event W (assigned to the West region). The probability that a randomly chosen team is in event W, p(W), is the number of teams in event W divided by the total number of teams in the sample space. So, p(W) = 16/64 = 1/4 or 0.25. There are 64 teams in the sample space. There are 16 teams in the event W (since each region has 16 teams). P(W) = 16/64 = 0.25, which is the probability that a randomly chosen team is assigned to the West region.
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10 points please help i will report any links Factor the following polynomials. a6- 16
Answer:
The answer to your problem is -10
What is 30% of 85  URGENT
Answer: 30 percent of 85 is 25.5
Answer:
the answer is 25.5
Step-by-step explanation:
this is because 85 in our question is equivalent to thus you just need to cross multiply
when an item is marked up by a certain percent and then marked down by the same percent, is the sale price equal to the price before the markup and markdown?
Answer: yes it is
Step-by-step explanation:
What is the equation of the line below
The given graph is of the equation y = x - 2
How to represent an equation in a graph?Select x-values and enter them into the equation to graph a function. You will obtain a y-value once those values have been entered into the equation. The coordinates of a single point are made up of the x and y values.
Step 1 is to determine the variables.
Step 2: Establish the range of the variable
Determine the graph's scale in step three.
Step 4 is to give each axis a number, a label, and a title.
5. Select the data points and plot them on the graph.
6. Create the graph.
After understanding the "how" of drawing a graph you will surely understand how to decide which equation's graph it is.
The given graph is of the equation
y = x - 2
because as in the graph
the slope cuts the points x = 4 and y = 2
and when we substitute this value in the above mentioned equation we get
2 = 4 - 2
which satisfies the condition .
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