B. Referring to each pair in letter A, do the following.
A. Find the sum of each pair of radicals.
AN NG
B. Subtract the first radical from the second radical.
ROAN
C. Find the product of each pair of radicals
D. Divide the second radical by the first radical. ​

Answer: (-1,2)

Step-by-step explanation:

Your solution is the intersecting point.

Answer:

D.) B and C

Step-by-step explanation:

B nor C would have more than 1 point on the same vertical line when doing a vertical line test

Answer:

Im not sure but go with 24

exterior angle = sum of its opposite interior angles

Which means :-

\(x + 21 + 63 = 3x\)

\(21 + 63 = 3x - x\)

\(21 + 63 = 2x\)

\(84 = 2x\)

\(2x = 84\)

\(x = 84 \div 2\)

\(x = 42°\)

Therefore , the correct option is :-

The correct statement among the options depends on the specific details of the regression model and hypothesis being tested. Let's analyze each option:

a. The statement mentions rejecting because the standard error of is approximately 0.128. However, it does not provide any information about the hypothesis being tested or the test statistic. Therefore, we cannot determine if this statement is correct without further information.

b. This statement suggests rejecting because the maximum of the p-values associated with and is larger than 0.05. Again, without knowing the specific hypothesis being tested or the test statistic used, we cannot determine the correctness of this statement.

c. The statement claims that we do not have sufficient evidence to reject because = 0.67. However, it does not provide any information about the hypothesis, test statistic, or critical values. Thus, we cannot assess the accuracy of this statement.

d. This statement mentions testing two restrictions jointly and the critical value for this test being 3. While it provides more information about the hypothesis being tested, without further context or details, we cannot evaluate the correctness of this statement.

e. The statement states that the F statistic for the test is 154.9, and it utilizes the F distribution with degrees of freedom 3 and 216. This statement provides specific information about the test statistic and degrees of freedom, suggesting that it is more likely to be the correct statement. However, we still need to consider the hypothesis being tested to confirm its accuracy.

Without additional information about the hypothesis being tested, we cannot definitively select the correct statement.

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Answer:

the volume of the cube will be 44 cm³ or D (nearest whole number)

Step-by-step explanation:

A cube has equal size of edges. Since it has a face diagonal of 5cm then using Pythagoras theorem s²+ s²= 5², where s is the side of the cube.

Therefore, 2s²=25

                   s²= 12.5

                    s = √12.5 = 3.536 cm

The volume of a cube is s³ (s×s×s) = 3.536³= 44.212 cm³,

Answer:

Step-by-step explanation:

We all know that the volume of a cube can be shown as:

V=s^3

now the volume of nine cubes is:

V=9*s^3

now, we know that the edge length is 0.5 ft, thus, lets find the volume of the figure:

V=9*s^3

V=9*0.5^3

V=9*0.125

V=1.125

Hence, the answer is 1.125 ft^3

The volume of the given figure is 1.125 cubic feet.

The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

Given that, a figure is built out of 9 cubes as shown the edge length of each cube is 1/2 foot.

Volume of one cube = (1/2)³

= 1/8

= 0.125 cubic feet

Volume of 9 cubes = 9×0.125

= 1.125 cubic feet

Therefore, the volume of the given figure is 1.125 cubic feet.

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A percent is commonly found through a fraction, or a division problem. We put the down payment over the total price, in both scenarios.

A) 50000 / 200000 = 5 / 20 = 1/4 = 0.25 = 25%

B) 10000 / 200000 = 1 / 20 = 0.05 = 5%

Hope this helps!

Answer:

55 inches = 4 feet 7 inches

Step-by-step explanation:

As we know 12 inches = 1 feet

so, 55 inches = 55÷12

4 feet 7 inches

Answer:

55 inches=4 feet 7 inches

Hope it helps

The correct answer to convert 20 inches to feet using dimensional analysis is B. Divide 20 inches by 1ft/12 in.

To convert 20 inches to feet using dimensional analysis, we need to set up a conversion factor that relates inches to feet. We know that there are 12 inches in one foot, so we can write the conversion factor as 1 ft / 12 in. We want to cancel out the units of inches, so we can write 20 inches as 20 in / 1. Then, we can multiply 20 in / 1 by our conversion factor, making sure that the units cancel out appropriately:

20 in / 1 × 1 ft / 12 in = 20/12 ft

Simplifying, we get:

20 in / 1 × 1 ft / 12 in = 1.67 ft

Therefore, 20 inches is equal to 1.67 feet when using dimensional analysis and dividing by the conversion factor of 1ft/12in.

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Answer:

t=3m

t = total number of movies she will watch

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angles would be supplementary

45 + 5x + 35 = 180

5x + 80 = 180

5x = 100

x = 20

To find out why they are supplementary, refer to the transversal below

∠3 = ∠7 (corresponding angles)

∠8 = 180 - ∠7 (supplementary angles)

And since ∠7 = ∠3...

∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)

Answer:

to solve this you need to find out what number n is to make it equal 28.

Step-by-step explanation:

19+3 =22 so 3 is not it

19+9=28

answer is 9

hopefully this is right and this gets to you on time

Answer:

err Im not sure if this is a multiple-choice but n=3

Step-by-step explanation:

3(n) + 19 is 28 meaning you have to find what multiplies with 3 to get 9 because 19+9 is 28
Hope this helps

The integral ∫csc^2(x) dx can be rewritten in terms of g(x) as F(g(x)) - 2/7 ∫csc(g(x)/7) cot(g(x)/7) dx, where F(g(x)) is the antiderivative of csc^2(g(x)/7).

Let's start by substituting g(x) into the function f(x):

f(g(x)) = csc^2(g(x)/7)

Next, we can use the chain rule to find the derivative of f(g(x)):

f'(g(x)) = -2csc(g(x)/7) cot(g(x)/7) / 7

Using the substitution u = g(x), we can rewrite the integral in terms of g(x) as follows:

∫csc^2(x) dx = ∫f(g(x)) dx = ∫f(u) du = F(u) + C

Substituting back in for u, we get:

∫csc^2(x) dx = F(g(x)) + C

Using the derivative of f(g(x)) that we found earlier, we can substitute it into the integral:

∫csc^2(x) dx = -2/7 ∫csc(g(x)/7) cot(g(x)/7) dx

Therefore, the integral in terms of g(x) and the antiderivative F(g(x)) is:

∫csc^2(x) dx = F(g(x)) - 2/7 ∫csc(g(x)/7) cot(g(x)/7) dx

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Answer: 4.25

 x

10

−

4

Step-by-step explanation:

Answer:

4.25x10^-9

Step-by-step explanation:

Answer:

42 mi

Step-by-step explanation:

To find the perimeter, just add up all the side lengths.

13 + 14 + 15 = 42

Note this is mi and not mi² since this is not area.

Answer:

i think i know. . if its asking for the perimeter, its talking about around the triangle soooo C

Step-by-step explanation:

I'm sorry if you get it wrong. .

The behavior of the function falls to the left and rises to the right.

Given function  f(x)=x^3-4x^2+7,

Firstly identify the degree of the function which is :

3

Now identify the leading coefficient which is :

1

Now, we know that if the degree is odd then the function ends in opposite direction.

And also the leading coefficient is positive which leads to rise of the graph to the right.

By using the degree and leading coefficient we can determine the behavior of the function by using  below statements ;

1. Even and Positive: Rises to the left and rises to the right.

2. Even and Negative: Falls to the left and falls to the right.

3. Odd and Positive: Falls to the left and rises to the right.

4. Odd and Negative: Rises to the left and falls to the right

So the behavior of the function falls to the left and rises to the right.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

\(\\ \frac{1}{8} e^{4a}-\frac{3}{4}e^{2a}+e^{a} -\frac{3}{8} \\\\or\\\\ \frac{e^{4a}-6e^{2a}+8e^{a}-3}{8}\)

Step-by-step explanation:

\(\\ \int\limits^{a}_{0} \int\limits^{x}_{0} \int\limits^{x+y}_{0} {e^{x+y+z}} \, dzdydx \\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [\int\limits^{x+y}_{0} {e^{x+y}e^z} \, dz]dydx \\\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [e^{x+y}\int\limits^{x+y}_{0} {e^z} \, dz]dydx\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [e^{x+y}e^z\Big|_0^{x+y}]dydx \\\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} [e^{x+y}e^{x+y}-e^{x+y}]dydx \\\\\\=\int\limits^{a}_{0} \int\limits^{x}_{0} e^{2x+2y}-e^{x+y}dydx \\\\\\\)

\(\\=\int\limits^{a}_{0} [\int\limits^{x}_{0} e^{2x}e^{2y}-e^{x+y}dy]dx \\\\\\=\int\limits^{a}_{0} [\int\limits^{x}_{0} e^{2x}e^{2y}dy- \int\limits^{x}_{0}e^{x}e^{y}dy]dx \\\\\\u=2y\\du=2dy\\dy=\frac{1}{2}du\\\\\\=\int\limits^{a}_{0} [\frac{e^{2x}}{2}\int e^{u}du- e^x\int\limits^{x}_{0}e^{y}dy]dx \\\\\\=\int\limits^{a}_{0} [\frac{e^{2x}}{2}\cdot e^{2y}\Big|_0^x- e^xe^{y}\Big|_0^x]dx \\\\\\=\int\limits^{a}_{0} [\frac{e^{2x+2y}}{2} - e^{x+y}\Big|_0^x]dx \\\\\)

\(\\=\int\limits^{a}_{0} [\frac{e^{4x}}{2} - e^{2x}-\frac{e^{2x}}{2} + e^{x}]dx \\\\\\=\int\limits^{a}_{0} \frac{e^{4x}}{2} -\frac{3e^{2x}}{2} + e^{x}dx \\\\\\=\int\limits^{a}_{0} \frac{e^{4x}}{2}dx -\int\limits^{a}_{0}\frac{3e^{2x}}{2}dx + \int\limits^{a}_{0}e^{x}dx \\\\\\u_1=4x\\du_1=4dx\\dx=\frac{1}{4}du_1\\\\\u_2=2x\\du_2=2dx\\dx=\frac{1}{2}du_2\\\\\\=\frac{1}{8}\int e^{u_1}du_1 -\frac{3}{4}\int e^{u_2}du_2 + \int\limits^{a}_{0}e^{x}dx \\\\\\\)

\(\\=\frac{1}{8}e^{u_1}\Big| -\frac{3}{4}e^{u_2}\Big| + e^{x}\Big|_0^a \\\\\\=\frac{1}{8}e^{4x}\Big|_{0}^a -\frac{3}{4}e^{2x}\Big|_{0}^a + e^{x}\Big|_0^a \\\\\\=\frac{1}{8}e^{4x} -\frac{3}{4}e^{2x} + e^{x}\Big|_0^a \\\\\\=\frac{1}{8}e^{4a} -\frac{3}{4}e^{2a} + e^{a}-\frac{1}{8} +\frac{3}{4} -1\\\\\\=\frac{1}{8}e^{4a} -\frac{3}{4}e^{2a} + e^{a}-\frac{3}{8}\\\\\\\)

Sorry if that took a while to finish. I am in AP Calculus BC and that was my first time evaluating a triple integral. You will see some integrals and evaluation signs with blank upper and lower boundaries. I just had my equation in terms of u and didn't want to get any variables confused. Hope this helps you. If you have any questions let me know. Have a nice night.

Answer:

900

Step-by-step explanation:

Order of operations rules require that we do work enclosed in parentheses first.  Thus we have (6 + 24)^2 = 30^2 = 900.

The equation for a parabola is x = 4y²p ÷ 5 in its vertex form, and its standard form x = (5 ÷ 4p) × y².

The parabola's standard form may be stated on a form in geometry,

x = Ay² + By + C

and could be changed to represent it in its vertex form,

x = (1 ÷ 4p)(y - k)² + h

where:

H is the vertex's x-coordinate.

The vertex's y-coordinate is given by k.

The latus rectum measures at 4p.

h = 0

k = 0

4p = 5 (positive because it opens to the right)

The equation of the parabola in standard form, x = Ay² + By + C

x = (5 ÷ 4p)(y - 0)² + 0

x = (5 ÷ 4p) × y²

The equation is then converted to standard form and simplified.

x = 4y²p ÷ 5

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Answer:

S And T               N and Q

Step-by-step explanation:

Opposite

Based on the mentioned boxplot and the informations provided, it appears that there are around 8 undergraduate statistics students who are 69 inches or taller.

A boxplot is a graphical representation of a dataset that summarizes the distribution of the data. The boxplot shows the range of the data, the median, and the quartiles (the 25th and 75th percentiles) of the data. In this specific boxplot, we can see that the upper whisker extends to about 70 inches, which means that any values above that would be considered outliers.

The box also extends up to around 68.5 inches, and since the box contains 50% of the data, we can infer that approximately half of the students are 68.5 inches or taller. Therefore, we can estimate that approximately 8 students (half of the 16 students) are 69 inches or taller.

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Answer:

(9,3)

Step-by-step explanation:

Hope this helps

Answer:

1/13 or 7.69%

Step-by-step explanation:

A standard 52 card deck has 4 queens. So the probability of being dealt a queen is:

P(Queen) = 4/52

= 1/13

The probability is 1/13. To find the percent, divide 1÷13 and then times by 100.

1÷13 = 0.0769

0.0769× 100 = 7.69

This is 7.69%

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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Answer:

Step-by-step explanation:

Let's use PRT/100 = Interest to solve this problem

We know that:

Work:

Hence, the interest rate is 11%.

Answer:

9

Step-by-step explanation:

To remove (-6) from the brackets, two minuses (negatives) cancel each other out becoming a plus (positive).

Example:

3 - (-6) = 3 + 6 = 9

*tip: if you see "- (-" imagine it automatically become a +*

The red sweets were 180 and the purple sweets were 135. The solution has been obtained b y using the concept of ratios.

What are ratios?

Comparing or condensing two similar data results in a ratio. We can determine how many times one quantity is equal to another by looking at the reciprocity of the relationship. A ratio is a number that can be used to express one thing as a percentage of another, to put it simply.

Let the total sweets be 'x'.

We are given that the ratio of purple sweets to red sweets in a jar was 3:4 and the ratio changes to 5:4 when 40 of the red sweets were eaten.

Total red sweets = (x/7)*4 = 4x/7

After 40 sweets are eaten,

Total red sweets = 4x/9

From this, we frame the equation as

⇒4x/7 - 40 = 4x/9

On solving the equation, we get

⇒4x/7 - 40 = 4x/9

⇒(4x - 280)/7 = 4x/9

⇒(4x - 280)*9 = 4x*7

⇒36x - 2520 = 28x

⇒8x = 2520

⇒x = 315

Since, the total sweets are 315.

So,

Red sweets = 4*315/7 = 180

Purple sweets = 3*315/7 = 135

Hence, the red sweets were 180 and the purple sweets were 135.

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