Answer:
c. 11
Step-by-step explanation:
Bottom row: 6 cubes
middle row: 4 cubes
top row: 1 cube
11 cubes total.
8(j + 4) = 96
hey can somebody help me real quick with this?
Answer:
sure:)
J + 32 = 96
Step-by-step explanation:
so im guessing this is one of the things we learned in 6th grade if o than it should be
8xj=8j
8x4=32
so
J + 32 = 96
but if you have to simpilfy it should be
J=-64
but if not its the top answer:0
brainliest pls if i got it right!
Multiply: (6x - 1)(6x +1)
Answer:
36x^2 -1
Step-by-step explanation:
6x times 6x= 36x^2
6x times 1= 6x
-1 times 6x= -6x
-1 times 1= -1
so, ...
36x^2+6x+(-6x)+(-1) = 36x^2 -1
calculate the total surface area, in cm² of the prism
The surface area of the triangular prism will be 132square cm.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle.
Let L₁, L₂, and L₃ be the length and W be the width of the rectangle.
Then the surface area of the triangular prism will be
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = h x b + (L₁ + L₂ + L₃) x W
The right triangular prism is shown.
The third side of the right triangle will be
L₁² = 4² + 3²
L₁² = 16 + 9
L₁² = 25
L₁ = 5
Then the surface area of the triangular prism will be
Surface area = 3 x 4 + (3 + 4 + 5) x 10
Surface area = 12 + 12 x 10
Surface area = 12 + 120
Surface area = 132 square cm
The surface area of the triangular prism will be 132square cm.
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Xyx and yxy represent two 3 digit whole numbers in which x and y are distinct non-zero digits. how many different values are possible for the sum xyx + yxy?
There are 72 different possible values for the sum \(xyx + yxy\).Since x and y are distinct non-zero digits, there are 9 options for x (1-9) and 8 options for y (excluding the value chosen for x).
To find the number of different values for the sum \(x y x + y x y,\)we need to consider the possible values for x and y.
To calculate the sum\(x y x + y xy\) , we can break it down into the individual digits:
x, y, and z. For x y x, the hundreds place is x, the tens place is y, and the units place is x.
Similarly, for yxy,
the hundreds place is y, the tens place is x, and the units place is y.
Now let's consider all the possible values of x and y and calculate the sum\(xyx + yxy\) for each combination:
- When x = 1,
there are 8 options for y.
So, there are 8 different sums.
- When x = 2,
there are 8 options for y.
So, there are 8 different sums.
- Similarly, when \(x = 3, 4, 5, 6, 7, 8,\) and 9,
there are 8 different sums for each value of x.
Adding up the different sums for each value of x,
we get a total of:
\(8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72\)
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A bag contains 3 red marbles and 4 blue marbles. A marble is taken at random from the bag and replaced. Another marble is taken from the bag.
Work out the probability that the two marbles taken from the bag are the same colour.
Give your answer as a fraction.
Answer:
25/49
Step-by-step explanation:
probability of red and red is (3/7)(3/7) = 9/49
Probability of blue and blue is (4/7)(4/7) = 16/49
Probability of same color = prob. of red and red or prob. of blue and blue
= 9/49 + 16/49
= 25/49
45 is 26% of what number? Round to the nearest hundredth if necessary.
A. 11.7
B. 173.08
C. 1.73
D. 0.58
Suppose ln x-ln y=y-4 , where y is a differentiable function of x and y=4 when x=4 . What is the value of dy/dx when x=4 ?
Answer:
When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.
Step-by-step explanation:
So, when x = 4, the value of the differentiable function dy/dx is 0.
What is differentiable function?A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.
Here,
Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:
d/dx (ln(x/y)) = d/dx (y - 4)
(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx
dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)
Rearranging and solving for dy/dx:
(x/y) (dy/dx) = (1/y) - (1/x)
dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)
We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:
dy/dx = (4/16) (1/4 - 1/4) = 0
So, the value of differentiable function dy/dx when x = 4 is 0.
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can someone help me with these 2 questions. angle sum theorem
Answer: D. 8
Step-by-step explanation:
Total sum of angles in a triangle is 180
I'll do the first one, you can try the second
9x + 5 + 78 + 25 = 180
9x + 108 = 180
9x = 72
x = 8
An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 sin(3θ) + 1 = 0 (a) Find all solutions of the equation. θ = (b) Find the solutions in the interval [0, 2π). θ =
(a) The solutions to the equation 2sin(3θ) + 1 = 0 are θ = (π/9) + (2πk/3) or θ = (8π/9) + (2πk/3), where k is any integer.
(b) The solutions in the interval [0, 2π) are θ = π/9, 5π/9.
(a) How to find all solutions of the equation?The given equation is 2sin(3θ) + 1 = 0. To solve for θ, we can start by isolating sin(3θ) by subtracting 1 from both sides and dividing by 2, which gives sin(3θ) = -1/2.
Using the unit circle or a trigonometric table, we can find the solutions of sin(3θ) = -1/2 in the interval [0, 2π) to be θ = π/9 + (2π/3)k or θ = 5π/9 + (2π/3)k, where k is any integer. These are the solutions for part (a).
(b) How to find solutions in interval?For part (b), we are asked to find the solutions in the interval [0, 2π). To do this, we simply plug in k = 0, 1, and 2 to the solutions we found in part (a), and discard any values outside the interval [0, 2π).
Thus, the solutions in the interval [0, 2π) are θ = π/9 and θ = 5π/9.
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Write an inequality that represents the graph below. Please help
Answer: x≥3
Step-by-step explanation:
Solve the inequality 4-2x > 12.
The solution of the inequality: 4 - 2x > 12
is -4 > x
How to solve inequality?
Here we have the following inequality:
4 - 2x > 12
To solve the inequality, we need to isolate the variable x in one of the sides of the inequality.
First, if we add 2x in both sides we will get:
4 > 12 + 2x
Now we can subtract 12 in both sides, then we will get:
4 - 12 > 2x
-8 > 2x
Now we can divide both sides by 2, so we get:
-8/2 > x
-4 > x
That is the solution.
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Which of the following three data sets is Cross sectional? a. BCAD data and links b. Demographic data c. Code cases
Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).
Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.
On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.
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what does banana + potato equal?
A Bonato
B Ponana
I'll give brainliest if you get it right :)
Answer: Bonato
Step-by-step explanation:
In a 1 way equation, what is 98=t-18 ?
Answer:
t=116
Step-by-step explanation:
hope this helps!!!!!!
Answer:
t = 116
Step-by-step explanation:
plz folllow me
hope it help u
the largest fraction in the set {½,⅔,¼,⅚, 7/12}
Answer:
1/2
Step-by-step explanation:
1/2 simply because when long division is used to convert it in decimal, it is gonna be the largset
20 points ill give brainlest if u can answer both !!
Answer:
3)
Each stripe is 1/18 yards thick, and the fence post if 5/6 yards. Therefore, we have to find how many 1/18s can go into 5/6. Thus, this is a matter of division, and we do 5/6 divided by 1/18 to find how many stripes we can have.
5/6 ÷ 1/18 = 5/6 * 18 = 15
Thus, the answer is D.
4) A is 3, which means we substitute all the "a"s in the expression for 3. Thus we have:
99 - 7\(a^{2}\)
99 - 7(3)^2
99 - 7(9)
99 - 63 = 36
Therefore, it is 36.
Normalize the wave function sin(nπxa)sin(mπyb) over the range 0≤x≤a;0≤y≤b.
The element of area in two-dimensional Cartesian coordinates is dxdy. Hence you will need to integrate in two dimensions; n and m are integers and a and b areconstants.
Hint: sin2(x)=12(1−cos(2x))
The normalized wave function is obtained by multiplying the original wave function by the normalization constant.
The final expression of normalized wave function is:
Ψ(x,y) = 2/√(ab) [1 - 1/(2nπ)sin(2nπa)][1 - 1/(2mπ)sin(2mπb)] sin(nπxa)sin(mπyb).
How do you normalize the wave function over the range in two-dimensional Cartesian coordinates?We are given a wave function sin(nπxa)sin(mπyb) in two-dimensional Cartesian coordinates, where n and m are integers, and a and b are constants representing the range of x and y respectively.
To normalize the wave function, we need to find the normalization constant C such that the integral of the absolute square of the wave function over the entire range is equal to 1:
1 = ∫∫ |Ψ(x,y)|² dxdy
where Ψ(x,y) = sin(nπxa)sin(mπyb) and the integration is over the range 0≤x≤a and 0≤y≤b.
Using the identity sin²(x) = 1/2(1 - cos(2x)), we can write the absolute square of the wave function as:
|Ψ(x,y)|² = (sin(nπxa))² (sin(mπyb))²= 1/2(1 - cos(2nπxa)) 1/2(1 - cos(2mπyb))= 1/4(1 - cos(2nπxa))(1 - cos(2mπyb))Now, we can integrate over x and y using the fact that the cosine function is an odd function, which means that its integral over a symmetric range is zero. Therefore, we have:
1 = C² ∫∫ |Ψ(x,y)|² dxdy= C² ∫\(0^a\) ∫\(0^b\) 1/4(1 - cos(2nπxa))(1 - cos(2mπyb)) dxdy= C² ∫\(0^a\) (1 - cos(2nπxa)) 1/2b dy= C² 1/2ab ∫\(0^a\) (1 - cos(2nπxa)) dx= C² 1/2ab [x - 1/(2nπ)sin(2nπx)]_\(0^a\)= C² 1/2ab [a - 1/(2nπ)sin(2nπa)]Similarly, we can integrate over y and get:
1 = C² 1/2ab [b - 1/(2mπ)sin(2mπb)]
Therefore, we have:
C² = 4/(ab) [1 - 1/(2nπ)sin(2nπa)][1 - 1/(2mπ)sin(2mπb)]
The normalization constant C is positive, so we can take its square root to obtain:
C = 2/√(ab) [1 - 1/(2nπ)sin(2nπa)][1 - 1/(2mπ)sin(2mπb)]
Hence, the normalized wave function is:
Ψ(x,y) = 2/√(ab) [1 - 1/(2nπ)sin(2nπa)][1 - 1/(2mπ)sin(2mπb)] sin(nπxa)sin(mπyb)
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180 feet / day is how many centimeters (cm) /hour?
Answer:
1.27cm/hour
Step-by-step explanation:
there are 24 hours in a day, and 30.48 centimeters in a foot.
180 / 24
7.5
so that is 7.5feet / hour
convert the feet into centimeters
228.6 cm/hour
Unit conversion is a way of converting some common units into another without changing their real value. 180 feet per day in centimeter per hour will be equal to 228.6.
What is Unit conversion?Unit conversion is a way of converting some common units into another without changing their real value.
for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Given the rate as 180 feet per day. This can be written in cm/hour as,
180 feet per day
= 180 feet / 1 day
Since 1 feet equal to 30.48 centimeters, also, 1 day has 24 hours, therefore,
= (180 × 30.48) centimeters / (1 × 24) hours
= 228.6 centimeters/ hour
= 228.6 centimeters per hour
Hence, 180 feet per day in centimeter per hour will be equal to 228.6.
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In the figure, BAT - CAT. Which statement is true by CPCTC?
Answer:
C
Step-by-step explanation:
The angles are congruent by CPCTC as they correspond with one another.
Answer:
The final answer, D
Step-by-step explanation:
Source: Done this question before
What is the range of the points on the graph?
Answer:16
Step-by-step explanation:
PLEASE HELP QUICK!!!!!
Answer:
C.
That is the closest answer since 8 times 10 6 times gets you 8 million.
Step-by-step explanation:
Answer:
C. 8×10⁶
Step-by-step explanation:
8,406,000 to nearest million is 8,000,000
8,406,000 = 8.406 × 10⁶
8,000,000 = 8 × 10⁶
In a triangle, one angle is 4 times larger than another. The third angle is 15° greater than
the smallest one. Find the angle measures. (hint: what do the angles of any triangle total?)
Equation:
Variable:
Solution:
The measure of all the angles of triangle are 27.5° , 110° and 42.5°.
The angle sum property states that the sum of angles in a triangle is 180°. That is if the angles of a triangle are A,B and C then
angle A + angle B + angle C = 180° (1)
According to the question,
Let the smallest angle be x°
Then the second angle will be 4 times the other on which is 4x°
And the third angle will be 15° greater than the smallest one which will be = 15° + x°
Now putting all the required values in equation (1) we get,
x° + (4x°) + (15° + x°) = 180°
6x° = 180° - 15°
x° = 165°/6
x° = 27.5°
Thus the angles will be,
Smaller angle = x° = 27.5°
Other angle = 4x° = 4*27.5° = 110°
Third angle = 15° + x° = 15° + 27.5° = 42.5°
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Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?
9514 1404 393
Answer:
9 +3/4b
Step-by-step explanation:
The speed of the second cyclist is b more than 12 miles per hour, so is ...
2nd cyclist speed = b + 12
The time of interest is 45 minutes = (45/60) hours = 3/4 hours.
The distance the second cyclist travels in 3/4 hour is ...
distance = speed × time
distance = (b +12)(3/4)
distance = 3/4b +9 . . . miles
Tyrone is an investment broker who tells his clients that some investments are a moderate risk and others are an aggressive risk. He wants to know the difference between the annual return on the investments in each category. He sampled 17 investments from each category. There was a mean annual return of 6.2% on the investments in the moderate sample, with a standard deviation of 9.3%. The aggressive investments had a sample mean of 7.3% and a standard deviation of 12.4%. Assume that the conditions for inference have been met, and that Tyrone will use the conservative degrees of freedom corresponding to a sample size of 17. Leta - Am be the difference in mean annual return (in percents) of the groups of investments. Which of the following is a 90% confidence interval for p - um? Choose 1 answer: a. (-5.49, 7.69) b. (-5.464, 7.664)c. (-5.084, 7.284) d. (-3.926, 6.126) e. (-2.659,4.859)
the 90% confidence interval for p - um is (-0.816, 2.916), which can be rounded to (-0.82, 2.92). The closest option to this interval is (c) (-5.084, 7.284).
The point estimate for the difference in mean annual return is:
a - m = 7.3 - 6.2 = 1.1
To find the margin of error for a 90% confidence interval, we use the t-distribution with 16 degrees of freedom (conservative df) and a 5% significance level (90% confidence level):
t* = 1.745
The margin of error is then:
ME = t* * sqrt[(s1^2/n1) + (s2^2/n2)]
= 1.745 * sqrt[(0.093^2/17) + (0.124^2/17)]
= 0.916
The 90% confidence interval is:
(a - m) ± ME
1.1 ± 0.916
Thus, the 90% confidence interval for p - um is (-0.816, 2.916), which can be rounded to (-0.82, 2.92). The closest option to this interval is (c) (-5.084, 7.284).
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How do you know if a midpoint Riemann sum is an overestimate or underestimate?
When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.
We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.
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~Uh- ~ Hey ~ can ~ someone ~ help ~ me ~ out ~ once ~ again...?~
A circle has a radius of 6 meters. What is the circumference of the circle?
Answer:
The answer is option A
A) Circumference= 12\(\pi\) m
Step-by-step explanation:
To find the circumference of a circle the formula you would use is C=2\(\pi\)r
if the radius is 6 meters, C is
C = 2*6 \(\pi\)r
C= 12\(\pi\) m
Let u=In(x) and v=ln(y), for x>0 and y>0.. Write In (x³ Wy) in terms of u and v. Find the domain, the x-intercept and asymptotes. Then sketch the graph for f(x)=In(x-3).
To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
How can ln(x³y) be written in terms of u and v, where u = ln(x) and v = ln(y)?To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.
There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.
To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.
As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.
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15.1 Question 1.
If anyone knows the answer please help me. Step by step would be greatly appreciated. Thank you.
Answer: \(\frac{x^9}{3}\) - \(\frac{7x^4}{5}\) + 9x + C
Step-by-step explanation:
1. Seperate equation
= 3∫x^8dx - 7∫x^4dx + 9∫1dx
2. Solve ∫x^4dx; apply power rule: ∫x^ndx = x^n+1/n+1, where n=8
= x^9/9
3. Solve ∫x^4dx; apply power rule where n=4
= x^5/5
4. Solve ∫1dx; apply constant rule: ∫kf(x)dx = k∫f(x)dx
= x
5. Sub in solved integrals
3∫x^8dx - 7∫x^4dx + 9∫1dx
= \(\frac{x^9}{3}\) - \(\frac{7x^4}{5}\) + 9x
Which of the following expressions are polynomial’s
Edgar records the time that it takes his school bus to take him from the bus stop to school each day. this is a ___________ random variable.
Since it involves decimal values, this is a continuous random variable.
What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …In this problem, the time assumes decimal values, hence it is a continuous random variable.
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