what is 49.4÷13 in area model​

Answer:

The frame is not a rectangle.

Step-by-step explanation:

11^2 + 14^2 = 17.8

because he measured 19, the angles are not 90°

The statement suggesting that larger groups are more effective than smaller groups is false. Smaller groups tend to have better communication, efficiency, and individual participation.

The statement suggests that larger groups, specifically groups of twenty to thirty people with representatives from multiple subgroups, are more effective than smaller groups of six to eight people. However, this statement is generally considered false for several reasons:

Larger groups can face challenges in communication and coordination. With more members, it becomes more difficult to ensure effective information sharing, active participation, and clear decision-making. Small groups often have better communication and coordination due to fewer individuals involved.

Smaller groups tend to be more efficient and productive. In larger groups, there can be increased time spent on managing diverse opinions and reaching consensus, which can slow down the decision-making process and hinder productivity. Smaller groups can often make quicker decisions and accomplish tasks more efficiently.

Larger groups may result in reduced individual participation. Some members may feel less inclined to contribute or may be overshadowed by more dominant personalities. In smaller groups, each member can have a more significant impact and be actively engaged in the group's work.

Smaller groups tend to foster better group dynamics and cohesion. It is easier for members to develop strong relationships, trust, and a shared sense of purpose in smaller groups. Larger groups can struggle with maintaining cohesiveness and a sense of belonging.

While larger groups may have certain advantages, such as a broader range of perspectives and resources, the statement disregards the potential drawbacks of managing larger groups effectively. Overall, smaller groups often exhibit better communication, efficiency, and individual participation, making the statement false in general.

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Range = \(-3 < y \le 3\)

===================================================

Explanation:

The range is the set of all possible y values of a function.

The lowest point happens when y = -3. We exclude this y value because of the open hole.

The highest point is at y = 3 which is included because of the filled in circle.

The range can be written as \(-3 < y \le 3\) meaning y is between -3 and 3, excluding -3 but including 3.

Side note: The range in interval notation is (-3, 3].

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Molly earned $282.37 - $220.00 = $62.37 in interest at the end of six years.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

To solve this problem, we can use the formula for compound interest:

\(A = P(1 + r/n)^(nt) \)

We are given that Molly placed $220.00 in a savings account with an annual interest rate of 4.2%. We are also told that she did not add or take out any money from the account, so the principal remains $220.00. Since we are not given how many times per year the interest is compounded, we will assume it is compounded annually (n = 1).

After 6 years, the formula becomes:

\(A = 220(1 + 0.042/1)^{(1*6)}A = 220(1.042)^6\)

A = 220(1.2835)

A = $282.37

Therefore, Molly earned $282.37 - $220.00 = $62.37 in interest at the end of six years.

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1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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Answer:

1.x=20

<L=37

Step-by-step explanation:

(x+8)+(2x-3)+(6x-5)=180

x+8+2x-3+6x-5=180

9x-8+8=180

9x=180

x=180/9

x=20

<L=2x-3

<L=2*20-3

<L=40-3

<L=37

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

2/6 square units

Step-by-step explanation:

What is the area of a rectangle with side lengths of 1/2 and 2/3

Step one:

given data

L= 1/2 units

W=2/3 units

Step two:

Area= L*W

substitute

Area= 1/2*2/3

Area=2/6 square units

Here, we want to write the decimal as a percent

We first re-write as a fraction then multiply by 100%

We have this as;

Let's use an example

Say we had two lines P and Q. If P has slope 2/5, then Q must have slope -5/2 in order for P and Q to be perpendicular.

Note how -5/2 is the negative reciprocal of 2/5. In other words, you flip the fraction and the sign to go from either slope.

Another thing to notice is that the two slopes multiply to -1. This is true for any pair of perpendicular lines as long as neither line is vertical.

Answer:

  The product of the slopes of perpendicular lines is -1.

Step-by-step explanation:

With one exception, the product of the slopes of perpendicular lines is -1. So, if the slopes are 'a' and 'b', we have ...

  a·b = -1

  a = -1/b  . . .  solve for a in terms of b

  b = -1/a  . . .  solve for b in terms of a

This tells you that each slope is the negative reciprocal of the other.

__

The exception is horizontal and vertical lines. The slope of a horizontal line is 0; the slope of a vertical line is "undefined." While -1/0 is "undefined", the reverse is not necessarily true: -1/"undefined" is not necessarily zero.

Step-by-step explanation:

in a triangle, if the hipotenus is 17, the other edges' lenghts are multiples of 8 and 15.

so the Man walked 23km.

subtract 7km

16km left

so he goes 8km north and 15km east

Step-by-step explanation:

According to angles of intersecting chords theorem    ( angle S is also 117):

117 = 1/2 (208 + 2x-4)  

so  x = 15

then 2x-4 = 26 degrees

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer:

Step-by-step explanation:

the answer is a)

For a repeated measures ANOVA for n = 78, k = 7, SSb = 8, SSw = 8, SSerror = 71 , the value of Mean Square Error Term is  1  .

The Mean Squares Error Term (MSerror) is calculated by dividing the sum of squares error (SSerror) by the degrees of freedom for error (dfe), which is equal to (n - k). So , we have:

⇒ MSerror = (SSerror)/(dfe) ,

For n = 78 and k = 7 ,

We get ,

The degree of freedom for error (dfe) = 78 - 7 = 71 ,

So , MSerror = (SSerror)/(dfe) ,

⇒ MSerror = 71/(78 - 7) ,

⇒ MSerror = 71/71 ,

⇒ MSerror = 1

Therefore, the value of MSerror is equal to 1.

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The given question is incomplete , the complete question is

For a repeated measures ANOVA, given n = 78, k = 7, SSb = 8, SSw = 8, SSerror = 71 . What is the value of the mean squares error term (MSerror)?

Answer:

3.5 feet

Step-by-step explanation:

In order to solve this we would have to subract the peices that were cut off from the total of 6.5 feet before it was cut.

Equation:

1 5/6 + 1 1/4= 3

Then we take the total of 3 that was cut off and subtract it from the total of 6.5 feet which would be 3.5 feet (rounded)

The answer is 3.5ft

Answer:

ordered pairs for the

x-intercept : (6,0)

 y- intercepts :(0,9)

Step-by-step explanation:

Given equation : 3x-2y=18

X- intercept on coordinate plane is point where the line intersect the x- axis.

The coordinate of point y is 0 for x-intercept.

Based on this let the coordinate of X- intercept be (x,0)

we will plug this value in equation 3x-2y=18, to find value of x and hence we will get x-intercept

3x-2y=18

3x -2*0 =18

=> 3x = 18

=> x = 18/3 = 6

Thus, coordinate of x-intercept is (6,0)

________________________________________________

Y- intercept on coordinate plane is point where the line intersect the y- axis.

The coordinate of point x is 0 for y-intercept.

Based on this let the coordinate of X- intercept be (0,y)

we will plug this value in equation 3x-2y=18, to find value of y and hence we will get y-intercept

3x-2y=18

3*0 -2y =18

=> 2y = 18

=> y = 18/2 = 9

Thus, coordinate of y-intercept is (0,9)

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

What is a conjecture?

A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.

The conjecture for the given question is:

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

Greater than → Lesser than or equal to

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Answer:C

Step-by-step explanation:45

Answer:

38.4

Step-by-step explanation:

just substitute l and w in the expression

The surface area of the composite figure is 322cm²

Surface area is the amount of space covering the outside of a three-dimensional shape. The total surface area will be the sum of the surface area of the figure.

The figure has 7 surfaces, and the areas are

calculated.

face 1 = 6× 4 = 24+1² = 25cm²

face 1 = face 2 = 25cm²

face 3 = 12 × 7 = 84 cm²

face 4 = 6× 12 = 72 cm²

face 5 = 3 × 12 = 36cm²

face 6 = 4× 12 = 48cm²

face 7 = 1 × 12 = 12 cm²

Total surface area = 25+25+84+72+36+48+12 = 322cm²

therefore the surface area of the Composite figure is 322cm²

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Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

To find the measure of segment GE,

Measure of HE = HG + GE and HE = HF + FE

HF + FE = HG + GE

By substituting the values of the given segments in the equation,

(3x - 129) + 4 = (13x - 993) + (3x - 185)

(13x - 993) + (3x - 185) - (3x - 129) = 4

Therefore, Option (B) will be the correct answer.

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

Answer:

5*5*5=125

volume of cylinder=137.44

137.44+125=262.44

Step-by-step explanation:

Answer: C: 0.4

Step-by-step explanation:

1/5 is 0.2 and double that is 0.4 since there are 2 half hours in an hour :)

Answer:

Multiplying by

\( \frac{4}{3} \)

Step-by-step explanation:

\( \frac{4}{5} \div \frac{3}{4} \)

\( = \frac{4}{5} \times \frac{4}{3} \)

Answer:

multiplying by 4/3

Step-by-step explanation:

"keep-change-flip"

1. "keep" the 4/5

2. change the division sign to multiplication sign

3. flip the fraction 3/4, to 4/3

If we evaluate at infinity, we get the following:

                  \(\large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{7x - 1}{\sqrt[3]{5x^3 + 4x - 2}}} = \frac{\infty}{\infty} \end{gathered}$}\)

Which is an indeterminacy of ∞ / ∞. Therefore, we must multiply and divide by the highest degree monomial (either in numerator or denominator). In this case it is 1/x—since the denominator involves a cube root, then the "monomial" x³ is considered to be a monomial of degree 1—. So:

                    \(\large\displaystyle\text{$\begin{gathered}\sf L= \lim_{x \to \infty}\frac{7x-1 }{\sqrt[3]{5x^3+4x-2 } }\cdot\frac{\frac{1}{x} }{\frac{1}{x} } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \ \ = \lim_{x \to \infty}\frac{\frac{7x}{x}-\frac{1}{x } }{\sqrt[3]{\frac{5x^3}{ x^{3} }+\frac{4x}{x^{3} }-\frac{2}{x^{3} } } } \end{gathered}$}\\\)

                       \(\large\displaystyle\text{$\begin{gathered}\sf \ \ = \lim_{x \to \infty}\frac{7-\frac{1}{x} }{\sqrt[3]{ 5+\frac{4 }{x^{2} } -\frac{2}{x^{3} } } } \end{gathered}$}\)

That when "evaluating at infinity" we have:

\(\large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{7 - \frac{1}{x}}{\sqrt[3]{5 + \frac{4}{x^2} - \frac{2}{x^3}}}} = \frac{7 - 0}{\sqrt[3]{5 + 0 - 0}} = \frac{7}{\sqrt[3]{5}} \end{gathered}$}\)

Answer:

C ) 1/3

Step-by-step explanation:

In the given equation, y = 1/3x, where it represents a proportional relationship:

1/3 represents the constant of proportionality which shows that as x increases, y also increases at the same rate. The constant of proportionality in this given instance is also the rate of change, or the slope.

The constant of proportionality under the direct proportion condition is the slope of the line when plotted for two proportional constants x and y on a graph.

Therefore, the correct answer is C) 1/3.